Browse Equation problems Studdy Solved!

Problem 12301

Question If Will takes out a 13,000 loan at $4.3 \%$ interest compounded semiannually and pays it off in one payment after 6 years, how much is the payment? Round you answer to the nearest cent.

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Problem 12302

1 Fill in the Blank 5 points
Jenna intends on baking an apple pie and a sweet potato pie for Thanksgiving. She spends $\$ 10$ purchasing apples and sweet potatoes. Suppose apples cost \ $1.25 each, and sweet potatoes cost$ \ $1$ each. Let $a$ represent the number of apples she purchases, and $s$ represent the number of sweet potatoes she purchases. a) Write an equation in standard form that describes the possible number of apples $a$ and number of sweet potatoes $s$ Jenna purchases with \ $10. type your answer...$ a+ $type your answer...$ s= $type your answer... b) Write an equation in slope-intercept form that describes the possible number of apples$ a $and number of sweet potatoes$ s $Jenna purchases with \$10.$ s=\square $type your answer...$ a+ $type your answer...$ \square $c) If Jenna spends \$10 and purchases only 4 apples, how many sweet potatoes did she purchase?$ s= $type your answer... d) Use the combination of apples and sweet potatoes from part (c) to write an equation in point-slope form that describes the possible number of apples$ a $and number of sweet potatoes$ s $Jenna purchases with \$10.$ s- $type your answer... = type your answer...$ \square $(a- type your answer... e) True or False: The graph below represents the relation between the possible number of apples$ a $and number of sweet potatoes$ s$ Jenna purchases with \$10.

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Problem 12303

The 20.0 W electric motor of a toy car is ranked as $91.0 \%$ efficient. If the motor is to accelerate the 740 g car from rest along a horizontal surface, then determine the maximum speed that the car can attain in 3.80 seconds.

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Problem 12304

Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) $\begin{array}{l} e^{r+10}-10=-35 \\ r=\square \end{array}$

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Problem 12305

Find an equation for the line that passes through the points $(-1,2)$ and $(-5,4)$ . $\square$ II

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Problem 12306

(1) $x d y-2 y d x=0$ (2) $x^{2} d y+\left(y^{2}-x y\right) d x=0$

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Problem 12307

Compute the value of the discriminant and give the number of real solutions of the quadratic equation. $-2 x^{2}+6 x-9=0$
Discriminant:
Number of real solutions:

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Problem 12308

A trapezoid has base lengths of 4 feet and 19 feet, and an area of 115 square feet. What is the height of the trapezoid?

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Problem 12309

Multiple Choice 1 point
4. Coach Brinkman is trying to solve the equation $|x+2|-3=-|x-3|+8$ by graphing. He graphed the right side of the equation and then decided his students needed to do the rest.
Graph the left side of the equation and then state the solution set. $x=-6$ and $x=5$ $x=-1$ and $x=3$ No Solution $x=-5$ and $x=6$

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Problem 12310

A starship is orbiting Cantoria, a large moon of the planet Sylow II. The ship's sensor array detects that the temperature on the surface of the moon is $11.6^{\circ} \mathrm{C}$ . What is this temperature in degrees Fahrenheit ( ${ }^{\circ} \mathrm{F}$ )?
Use the given formulas as necessary, and round your answer to the nearest tenth of a degree. ${ }^{\circ} \mathrm{F}$

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Problem 12311

$x=-5 \text { and } x=6$
5 Multiple Choice 1 point
Solve the following absolute value equation.
5. $|3 x+4|=2 x-1$ $x=-3 / 5$ $x=-5$ No solution $x=-5$ and $x=-3 / 5$ 6 Multiple Choice 1 point

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Problem 12312

47. To estimate the width of an archaeological mound, archaeologists place two stakes on opposite ends of the widest point. See Eigure 8.51 . They set a third stake 82 feet from one stake and 97 feet from the other stake. The angle formed is $125^{\circ}$ . Find the width of the mound.
Figure 8.51

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Problem 12313

1 ■ Mark for Review
A hawk with mass 1 kg dives straight downward. At time $t_{1}$ , the hawk has a speed of $20 \mathrm{~m} / \mathrm{s}$ . At time $t_{2}$ , the hawk has a speed of $50 \mathrm{~m} / \mathrm{s}$ . The change in the kinetic energy of the hawk between $t_{1}$ and $t_{2}$ is most nearly (A) 200 J (B) 450 J (C) 1050 J (D) 1250 J

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Problem 12314

Hide 4 ■ Mark for Review
A ball of mass $m$ is loaded into a launcher with a spring of spring constant $k$ . The ball is pushed down until it is at a vertical position $y=0$ , and the spring is compressed a distance $\Delta L$ , as shown. The ball is then released from rest. Immediately after leaving the launcher, the $x$ - and $y$ -components of the ball's velocity are $v_{x}$ and $v_{y}$ , respectively. The ball reaches a maximum height of $y_{\text {max }}$ and lands a horizontal distance $\Delta x$ away from its initial position. Energy losses due to friction are negligible. Which of the following is a correct conservation of energy equation that compares the total mechanical energy of the ball-spring-Earth system immediately before the ball is launched to the total mechanical energy of the ball-spring-Earth system the moment the ball reaches its maximum height?

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Problem 12315

Step 3 All the necessary values have been found to calculate the margin of error. We have $z_{\alpha / 2}=1.960, \bar{p}=0.557$ four decimal places. $\begin{aligned} E & =z_{\alpha / 2} \sqrt{\frac{\bar{p}(1-\bar{p})}{n}} \\ & =1.960 \sqrt{\frac{0.5571(1-0.5571)}{359}} \\ & =\square \end{aligned}$ Submit Skip_(you cannot come back) Submit Answer

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Problem 12316

$\text{Note: Figure not drawn to scale.}$
A fan is attached to the top of a block, as shown. The block is released from rest at the top of a ramp and the fan exerts a constant force on the block opposite the block's direction of motion. The block slides a distance $D_{1}$ along the ramp and then transitions to a horizontal surface, eventually coming to rest momentarily after traveling a distance $D_{2}$ . Frictional forces are negligible. Which of the following correctly describes the relationship between $D_{2}$ and $D_{1}$ ?
(A) $D_{2}$ must be less than $D_{1}$ .

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Problem 12317

You wish to test the following claim $\left(H_{1}\right)$ at a significance level of $\alpha=0.002$ . $\begin{array}{l} H_{0}: \mu=70.1 \\ H_{1}: \mu<70.1 \end{array}$
You obtain a sample mean of $\bar{x}=68.3$ , and sample standard deviation of $s=20.4$ for a sample of size $n=45$ . a. The test statistic $(t)$ for the data $=$ $\square$ (Please show your answer to three decimal places.) b. The $p$ -value for the sample = $\square$ (Please show your answer to four decimal places.) c. The $p$ -value is...

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Problem 12318

Solve for x : $x=\square$ $\square$ Round to the nearest whole number

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Problem 12319

Find the volume of a square pyramid. $V=$ $\qquad$ $m^{3}$

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Problem 12320

If $\int_{a}^{b} f(x) d x=\int_{-2}^{10} f(x) d x+\int_{10}^{15} f(x) d x-\int_{-2}^{5} f(x) d x$ what are the bounds of integration for the first integral? $a=$ and $b=$

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Problem 12321

Solve for $\mathrm{x} . \quad \sqrt{x+3}=6$ 9 36 3 33

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Problem 12322

Find the equation of the circle with center at the origin that contains the point $(8,15)$ .

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Problem 12323

How to round Decimals? Click this video!
If $\mu=3.4, \sigma=0.8, n=36$ , what is a $\mu_{\bar{x}}$ and $\sigma_{\bar{x}}$ (HINT: $\mu_{\bar{x}}$ and $\sigma_{\bar{x}}$ are just names of variables)? (Round to the nearest hundredth) $\begin{array}{l} \mu_{\bar{x}}=\mu= \\ \sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}}= \end{array}$ $\square$ $\square$ Question Help: $\square$ Video

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Problem 12324

The lawyer for a credit union member has sent a cheque for $\$ 2525.09$ in full settlement of the member's loan balance including simple interest at $4 \frac{3}{4} \%$ for 8 months. How much of the payment is interest?
The amount of the payment that is interest is $\$ \square$ $\square$ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)

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Problem 12325

Reroudre dana $\mathbb{R}$ a) $\ln (3 x-5)=\ln (x-2$ 8) $\ln \left(x^{2}+3 x+2\right)=\ln (x+10)$

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Problem 12326

Find the center, the vertices, the foci, and the asymptotes. Then draw the graph. $\frac{(x-2)^{2}}{9}-\frac{(y+5)^{2}}{16}=1$

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Problem 12327

Solve the following rational equation. $5-\frac{4}{x}=7$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ \}. (Simplify your answer. Use a comma to separate answers as needed.) B. The solution is the empty set.

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Problem 12328

The ends of a bar have to be machined down until the bar is 3 m long. After $5 \%$ of the length had been removed, it was found that $0.5 \%$ of the new length still had to come off. What length was removed at each machining and what was the original length of the bar?

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Problem 12329

$\qquad$ $\%$ of $30=18$

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Problem 12330

A nurse is to administer 150 mg of a drug intramuscularly. The label on the multidose vials reads $100 \mathrm{mg} / \mathrm{mL}$ . How much would the nurse give?

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Problem 12331

The bones of a newly discovered dinosaur weigh 170 pounds and measure 9 feet, with a 6 -inch claw on one toe of each hind foot. The age of the dinosaur was estimated using a radioactive substance dating of rocks surrounding the bones. $\begin{aligned} A & =A_{0} e^{k t} \\ \frac{A_{0}}{2} & =A_{0} e^{1.25 k} \\ \frac{1}{2} & =e^{1.25 k} \\ \ln \left(\frac{1}{2}\right) & =1.25 k \\ -0.55452 & =k \end{aligned}$
Substitute.
Divide both sides of the equation by $A_{0}$ .
Take the natural logarithm on both sides and simplify. Solve for $k$ . (Round to five decimal places as needed.) b. Analysis of the rocks surrounding the dinosaur bones indicated that $94.4 \%$ of the original amount of radioactive substance was still present. Let $\mathrm{A}=0.944 \mathrm{~A}_{0}$ in the model in part ( a ) and estimate the age of the bones of the dinosaur.
The estimated age of these dinosaur bones is about $\square$ billion years. (Round to four decimal places as needed.)

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Problem 12332

$\text { - }\left.\right|^{h=}$ $c=$

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Problem 12333

Check for extraneous solutions.
8. $\ln 2 a=9$
2

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Problem 12334

A bird species in danger of extinction has a population that is decreasing exponentially ( $\mathrm{A}=\mathrm{A}_{0} \mathrm{c}^{\mathrm{kt}}$ ). Six years ago the population was at 1800 and today only 1000 of the birds are alive. Once the population drops below 200, the situation will be irreversible. How many years from now will this happen?
The population will drop below 200 birds approximately $\square$ years from now. (Round the final answer to the nearest whole number as raeded. Round all intermediate values to 3 decimal places as needed.)

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Problem 12335

12. $\frac{1}{3} \cdot \ln 27+\ln (x-5)=4$

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Problem 12336

3. Mackenzie Insurance Company collected a premium of $\$ 15,000$ for a 1-year insurance policy on May 1. What amount should Mackenzie report as a current liability for Unearned Insurance Revenue at December 31? a. $\$ 0$ . (b.) $\$ 5,000$ . c. $\$ 10,000$ . d. $\$ 15,000$ .

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Problem 12337

A sealed can of gas has a pressure of 2.0 atm at 300 K . If the can is heated to 600 K , what will the pressure become (assuming constant volume)?

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Problem 12338

The least-squares regression equation is $\hat{y}=762.7 x+13,048$ where $y$ is the median income and $x$ is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7285 . Complete parts (a) through (d). (a) Predict the median income of a region in which $30 \%$ of adults 25 years and older have at least a bachelor's degree. \ $35929 (Round to the nearest dollar as needed.) (b) In a particular region, 29.6 percent of adults 25 years and older have at least a bachelor's degree. The median income in this region is$ \ $38,860$ . Is this income higher than what you would expect? Why?
This is higher than expected because the expected income is $\$ 35,624$ (Round to the nearest dollar as needed.) (c) Interpret the slope. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal. Do not round.) A. For $0 \%$ of adults having a bachelor's degree, the median income is predicted to be $\$$ $\square$ . B. For every dollar increase in median income, the percent of adults having at least a bachelor's degree is $\square$ $\%$ , on average. C. For a median income of $\$ 0$ , the percent of adults with a bachelor's degree is $\square$ \%. D. For every percent increase in adults having at least a bachelor's degree, the median income increases by $\$$ $\square$ , on average.

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Problem 12339

Use Newton's Law of Cooling, $\mathrm{T}=\mathrm{C}+\left(\mathrm{T}_{0}-\mathrm{C}\right) \mathrm{e}^{\mathrm{kt}}$ , to solve. A frozen steak initially has a temperature of $26^{\circ} \mathrm{F}$ . It is left to thaw in a room that has a temperature of $75^{\circ} \mathrm{F}$ . After 9 minutes, the temperature of the steak has risen to $36^{\circ} \mathrm{F}$ . After how many minutes will the temperature of the steak be $50^{\circ} \mathrm{F}$ ?
The temperature will be $50^{\circ} \mathrm{F}$ after $\square$ minutes. (Round to nearest minute as needed.)

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Problem 12340

Topic 1: Writing Equations
1. (Multiple Choice): Write the equation of the line that passes through $(3,-2)$ with a slope of 4 . a) $y=4 x-14$ b) $y=4 x+14$ c) $y=4 x-2$ d) $y=-4 x+2$
2. (Multiple Choice): What is the slope-intercept form of a line with slope -5 and $y$ -intercept $(0,4)$ ? a) $y=-5 x+4$ b) $y=5 x+4$ c) $y=-5 x-4$ d) $y=5 x-4$
3. (Multiple Choice): Convert the equation $3 x-4 y=12$ to slope-intercept form. a) $y=3 / 4 x+3$ b) $y=3 / 4 x-3$ c) $y=4 / 3 x+12$ d) $y=-4 / 3 x-12$
4. (Free Response): Write the equation of a line parallel to $y=2 x+3$ passing through $(1,2)$ .
5. (Free Response): Write the equation of a line passing through the points $(0,4)$ and $(2,8)$ .
6. (Free Response): Find the slope of a line that passes through $(-3,7)$ and $(4,-1)$ . Finish in Slope Intercept form!
Topic 2: Parallel vs Perpendicular vs Neither
1. (Multiple Choice): Determine whether the lines $y=3 x+2$ and $y=-1 / 3 x-5$ are parallel, perpendicular, or neither. a) Parallel b) Perpendicular c) Neither

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Problem 12341

Part A A hot air balloon is at an altitude of $100 \frac{1}{5}$ yards. The balloon's altitude decreases by $10 \frac{4}{5}$ yards every minute.
Which equation can be used to determine the number of minutes, $m$ , it will take the balloon to reach an altitude of 57 yards? A) $10 \frac{4}{5}+100 \frac{1}{5} m=57$ B) $10 \frac{4}{5}-100 \frac{1}{5} m=57$ C) $100 \frac{1}{5}+10 \frac{4}{5} m=57$ D) $100 \frac{1}{5}-10 \frac{4}{5} m=57$

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Problem 12342

Part A The current temperature is $48^{\circ} \mathrm{F}$ . It is expected to drop $1.5^{\circ} \mathrm{F}$ each hour.
Which equation can be used to find ir how many hours, $h$ , the temperature will be $36^{\circ}$ F? A) $36+48 h=1.5$ B) $48-1.5 h=36$ C) $48+1.5 h=36$ D) $36-1.5 h=48$

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Problem 12343

horizontal 1.10 A stunt rider is propelled upward from his motorbike by a spring loaded ejector seat. The rider was travelling horizontally at $60 \mathrm{~km} \mathrm{~h}^{-1}$ when the ejector seat was triggered, and as they leave the seat they are travelling with a vertical velocity of $15 \mathrm{~m} \mathrm{~s}^{-1}$ . The seat is 1.0 m off the ground. (a) What is the initial velocity of the stunt rider (in $\mathrm{km} \mathrm{h}^{-1}$ )? (b) How high does the stunt rider reach? (c) How far along the track does the stunt rider land on the ground? (d) What is the velocity of the stunt rider when they hit the ground (in $\mathrm{km} \mathrm{h}^{-1}$ )?
Answer: (a) $81 \mathrm{~km} \mathrm{~h}^{-1}, 42^{\circ}$ above the horizontal (b) 12 m (c) 51 m (d) $82 \mathrm{~km} \mathrm{~h}^{-1}, 43^{\circ}$ below the horizontal 1.11 A bullet is fired horizontally from a gun that is 1.5 m from the ground. The bullet travels at $1000 \mathrm{~m} \mathrm{~s}^{-1}$ and strikes a tree 150 m

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Problem 12344

1a. $8 \mathrm{~m}=$ $\qquad$ cm
1b. $37,5 \mathrm{hl}=$ $\qquad$ kl
2a. $9 \mathrm{~m}=$ $\qquad$ cm
2 b. $50 \mathrm{dg}=$ $\qquad$ g
3a. $1 \mathrm{~m}=$ $\qquad$ cm
3b. $9 \mathrm{~L}=$ $\qquad$ ml
4a. 3 dag $=$ $\qquad$ cg
4b. $1 \mathrm{~km}=$ $\qquad$ m
5a. $7 \mathrm{hl}=$ $\qquad$ L
5b. $8980 \mathrm{dm}=$ $\qquad$ hm

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Problem 12345

Solve the equation $8 \tan (4 \theta)+3=11$ for a value of $\theta$ in the first quadrant. Give your answer in radians and degrees. $\theta=$ $\square$ radians, to 4 decimal places or $\square$ degrees.

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Problem 12346

Write an equation of the line below. Explanation Check

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Problem 12347

Which intercepts will help you find the roots of the equation if $\sqrt{3 x+4}=-2$ ?
Select one: a. $x$ -intercepts of the graph of the function $y=\sqrt{3 x+4}-2$ b. $x$ -intercepts of the graph of the function $y=\sqrt{3 x+4}+2$ c. $y$ -intercepts of the graph of the function $y=\sqrt{3 x+4}-2$ d. $y$ -intercepts of the graph of the function $y=\sqrt{3 x+4}+2$

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Problem 12348

Point $S$ is the midpoint of line RT. RS is $3 x+20$ and RT is $12 x-10$ . What is the length of RS? Round your answer to the nearest hundredth if necessary. Your Answer:
Answer
Question 3 (2 points)

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Problem 12349

(c) At the school across the street, $\frac{7}{12}$ of the students like neither superhero nor s This represents 189 members of the student body. Set up and solve an calculate the total number of students, $T$ , that go to this school. in Louisiana have a $10 \%$ sales tax. Talal buys a coat for $\$ 45$

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Problem 12350

What is the volume of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ cubic inches Submit

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Problem 12351

A cone has a volume of 1899.7 cubic meters and a height of 15 meters. What is its radius? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $r \approx \square$ meters Submit

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Problem 12352

What is the volume of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ cubic yards

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Problem 12353

e volume of this cone is $2,562.24$ cubic feet. What is the height of this cor e $\pi \approx 3.14$ and round your answer to the nearest hundredth. $h \approx$ $\square$ feet

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Problem 12354

Which of the following illustrates the commutative property of multiplication?
Enter a, b, c, d, or e. a. $z y=y z$ b. $a+(c+d)=(a+c)+d$ c. $y+a=a+y$ d. $(d b)(e+f)=d[b(e+f)]$ e. $(a c+d e)(e f)=(d e+a c)(e f)$

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Problem 12355

The volume of this cone is $1,519.76$ cubic meters. What is the height of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $h \approx$ $\square$ meters

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Problem 12356

2. (4 punti)
Una gru, il cui motore ha una potenza di $3,00 \mathrm{~kW}$ , solleva di $10,4 \mathrm{~m}$ , a velocità costante, un carico che ha massa di 359 kg . Calcola il tempo impiegato dalla gru per sollevare il carico.

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Problem 12357

1. Determine each unknown side length to the nearest tenth. a) b)

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Problem 12358

\begin{problem} The governor of a state has put together a team tasked with determining factors that account for the number of children living in poverty within the state. The team wants to know if the number of children living in poverty in a town is proportional to the population of the town, so they look at the population and number of children in poverty for 10 towns in the state. The data is reported in the table below.
\begin{center} \begin{tabular}{|c|c|} \hline Population & Children in Poverty \\ \hline 41,788 & 992 \\ 8,767 & 41 \\ 59,376 & 702 \\ 2,920 & 17 \\ 2,862 & 31 \\ 16,344 & 114 \\ 9,099 & 170 \\ 92,513 & 1,239 \\ 10,354 & 105 \\ 31,705 & 625 \\ \hline \end{tabular} \end{center}
\begin{enumerate} \item[(a)] What is the equation of the line of best fit? \item[(b)] What is " $r$ " and determine if it is a strong, moderate, or weak correlation. \end{enumerate} \end{problem}

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Problem 12359

Aufgabe 26 Aus einem großen Reservoir wird das Wasser über eine gerade Rohrleitung mit freier Ausmündung einem Bewässerungsgraben zugeführt. Die Leitung besteht aus Polyethylenrohren. Der Einlauf der Leitung ist gut ausgerundet, ein Einlaufverlust soll nicht berücksichtigt werden. Gegeben: $T=10^{\circ}$ a) Bestimmen Sie den Durchfluss in der Leitung für den Fall, dass die Reibungsverluste vernachlässigt werden b) Bestimmen Sie den Durchfluss in der Leitung für den Fall, dass die Rohrreibung berücksichtigt wird c) Zeichnen Sie den Verlauf der Druck- und Energielinie. Hydromechanik

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Problem 12360

tisten
This inpus-outpul tabte shows some values that satisty the equation $y=4 x+21$ . 2 2 4 5
What number correctily tils in the biank in the tatie?

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Problem 12361

Jerome wants to rent a rowboat to go fishing at the lake. The cost of the rental can be represented by the equation $y=18 x$ , where $x$ is the number of hours the boat is rented for, and $y$ is the total cost.
What is the cost per hour for renting the boat? There is no cost per hour, because the value for $b$ in the slope-intercept form of the equation $y=m \boldsymbol{x}+\boldsymbol{b}$ equals 0 . It costs $\$ 18$ to rent the boat all day. Renting the boat costs $\$ 0.18$ per hour. The cost per hour can't be determined without determining the number of hours it is used. Renting the boat costs $\$ 18$ per hour.

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Problem 12362

$6 x^{2}=-x$
Select the correct choice below and, if necessary, fill in the ans A. The solution set is $\square$ \}. (Simplify your answer. Use a comma to separate answ B. The scifution set is $\varnothing$ .

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Problem 12363

Question 50 The temperature of a nuclear reactor rises at a steady rate of 100 degrees per minute, while the temperature of a thermal reactor doubles every minute. Given that the starting temperatures of the nuclear reactor and the thermal reactor are 400 degrees and 15 degrees, respectively, after how many whole minutes will the temperature of the thermal reactor exceed that of the nuclear reactor?
Marks:1.0 Negative Marks: 0.25

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Problem 12364

1. Risolvi l'equazione parametrica: $a x+b=c x+d$ , dove $a, b, c$ e $d$ sono costanti.
2. Trova $x$ se $2 x+a=b x-5$ , con $a$ e $b$ costanti.

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Problem 12365

3. Risolvi l'equazione parametrica: $m x+3=n x-2$ , dove $m$ e $n$ sono parametri.
4. Trova $x$ se $\frac{1}{2} x+p=q x+\frac{q}{2}$ , con $p$ e $q$ come parametri.
5. Risolvi l'equazione parametrica: $r x-4=s x+6$ , dove $r$ e $s$ sono costanti.
6. Trova $x$ se $2 x-p=q x+p$ , con $p$ e $q$ parametri.

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Problem 12366

Consider the following lines. Line 1: $3 x-4 y=12$ Line 2: a line perpendicular to $3 x-4 y=12$ that contains the point $(3,-4)$ Write the equation of Line 1 in slope-intercept form. $\square$ Find the slope of Line 1. $\square$ Find the slope of Line 2. $\square$ Find the equation of Line 2 in point-slope form using the point $(3,-4)$ . $\square$ Find the equation of Line 2 in the form $A x+B y=C$ . $\square$ Need Help? Read It

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Problem 12367

Find an equation of the line described. Leave the solution in the form $A x+B y=C$ . The line has intercepts $a=7$ and $b=-7$ .
Need Help? Read It

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Problem 12368

Consider the following lines. Line 1: $3 x-4 y=12$ Line 2: a line perpendicular to $3 x-4 y=12$ that contains the point $(3,-4)$ Write the equation of Line 1 in slope-intercept form. $\square$ Find the slope of Line 1. $\square$

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Problem 12369

1. Risolvi l'equazione: $x-\sqrt{a} x+1=0$ , dove $a$ è un parametro reale positivo.
2. Trova le soluzioni di $2 x^{2}+\frac{a}{x}-3=0$ , dove $a$ è un parametro reale positivo.

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Problem 12370

-- webassign.net/web/Student/Assignment-Responses/submit?pos=48dep=360168108tags=au Consider the following lines. Line 1: $3 x-4 y=12$ Line 2: a line perpendicular to $3 x-4 y=12$ that contains the point $(3,-4)$

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Problem 12371

2 Ein Betrieb stellt ein Produkt mit den Inputfaktoren $x$ (in ME) und $y$ ( Output soll 1000 ME betragen. Die Faktormengenkombinationen, die zu diesem Output führen, lassen sich mit der Isoquantengleichung $y(x)=\frac{40}{x-2}+3$ beschreiben. Bei einem Kostenbudget in Höhe von 730 GE lautet die Gleichung der Isokostengeraden $y(x)=-10 x+73$ , bei einem Kostenbudget von 550 GE lautet sie $y(x)=-10 x+55$ . a) Untersuchen Sie, ob sich mit diesen Kostenbudgets der angestrebte Output erzielen lässt. Geben Sie ggf. die Kombinationsmengen der Inputfaktoren an. b) Berechnen Sie die Minimalkostenkombination. c) Bestimmen Sie die Gleichung der kostenminimalen Isokostengeraden. d) Berechnen Sie, wie hoch das Kostenbudget mindestens sein muss, wenn ein Output von 1000 ME produziert werden soll. e) Erstellen Sie eine Grafik, die Ihre Ergebnisse veranschaulicht. Geben Sie für die Isoquante die Gleichung der Polgeraden und der Asymptote an.

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Problem 12372

12) through: $(1,3)$ , perp. to $y=x+5$

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Problem 12373

1) through: $(1,3)$ , parallel to $y=x-4$

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Problem 12374

Consider the equation $f(x, y, z)=\frac{1}{x y}+\frac{1}{y z}+\frac{1}{z x}=1$ , where $x \neq 0, y \neq 0, z \neq 0$ . (a) (3 points) Express $z$ as a function of $x$ and $y$ . (b) (4 points) Compute the directional derivative of $z$ along direction $\vec{u}=\cos \theta \hat{i}+\sin \theta \hat{j}$ at $(x, y)$ . (c) (3 points) Compute $\vec{\nabla} z$ and find the direction of minimum rate of change at the point $(2,1)$ . (d) (6 points) Let $p=\left(2,1, z_{0}\right)$ be a point on the level surface $f(x, y, z)=1$ . Using the result obtained in parts (a) and (c), find the value of $z_{0}$ and the equation of the tangent plane of the level surface at the point $p$ .

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Problem 12375

Solve $45=(w+7)^{2}$ , where $w$ is a real number. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". $w=$ $\square$ ㅁ,,..... No solution

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Problem 12376

Exercises - at which point on $y=a x^{2}+b x+c$ is the curvature maximized? - at which points on the ellipse $\left\{\begin{array}{l}x=a \cos t \\ y=b \sin t\end{array}\right.$ are curvatures maximized/minimized?

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Problem 12377

Solve for $r$ : $\begin{array}{l} \log _{3}(r+3)=-1 \\ r=\square \end{array}$

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Problem 12378

Consider the following lines. Line 1: $3 x-4 y=12$ Line 2: a line perpendicular to $3 x-4 y=42$ that contains the point $(3,-4)$ Write the equation of Line 1 in slope-intercept form. $y=\frac{3}{4} x-3$
Find the slope of Line 1. $3 / 4$
Find the slope of Line 2. $-4 / 3$
Find the equation of Line 2 in point-slope form using the point $(3,-4)$ . $y+4=-\frac{4}{3}(x-3)$
Find the equation of Line 2 in the form $A x+B y=C$ . $\square$

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Problem 12379

GENERAL MATHEMATICS Long Quiz S.Y. 2024 - 2025
1. What do we call the monetary charge for the amount we borrow? a. Interest b. Final amount c. Principal d. Time
2. What do we call the accumulated amount after an interest rate is being applied in a specified year? a. Interest b. Final amount c. Principal d. Time !!!11\%
3. How many compounding periods does a bimonthly have? a. 2 b. 6 c. 12 d. 24
4. What is periodic interest rate does a $9 \%$ compounded quarterly? d. 45 a. 9 b. 18 c. 36
5. What is the final value if principal is 4,500 , time is 2 years, and interest rate is $6 \%$ ? c. 9,000 a. 5,040 b. 5,400 b. $46,233.55$ d. 50,400 a. $219,291.76$ b. $219,291.67$ c. 219219.67 ompor valiy
8. What is the interest for the item \#5? c. 540 d. 5400 a. 900 b. 4500 d. 832.55
9. What is the interest for the item $\# 6$ ? c. 823.55 a. 732.55 b. 733.55 d. $29,291.76$
10. What is the interest for the item $\# 7$ ? c. 29219.67 a. $29,291.76$ b. $29,291.67$ d. $76 \%$ c. $67 \%$

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Problem 12380

Solve for $s$ : $\begin{array}{l} 16^{9 s-5} \cdot 32^{-5 s-1}=\left(\frac{1}{2^{5 s+5}}\right) \\ s=\square \end{array}$

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Problem 12381

What is the solution of $(4 x-16)^{\frac{1}{2}}=3 B^{?}$ $x=5$ $x=13$ $x=20$ $x=328$

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Problem 12382

What is the solution of $\sqrt{-4 x}=100$ ? $x=-2500$ $x=-50$ $x=-2.5$ no solution

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Problem 12383

Which statement is true about the solution of $\sqrt[3]{x^{2}-12}=\sqrt[3]{4 x}$ ? $x=-2$ is an extraneous solution, and $x=6$ is a true solution. $x=6$ is an extraneous solution, and $x=-2$ is a true solution. Both $x=-2$ and $x=6$ are extraneous solutions. Both $x=-2$ and $x=6$ are true solutions.

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Problem 12384

Solve using the addition principle. $2 \frac{1}{5}+x=7$

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Problem 12385

Given that $\sqrt[3]{\frac{904}{3051}}=\sqrt[3]{\frac{b \cdot d}{c \cdot d}}$ , where $b$ and $d$ ; and $c$ and $d$ are the factors of $904 \& 3051$ , respectively. If $b$ and $c$ are perfect cubes, find the value of $d$ .
Q (Enter a number/value)

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Problem 12386

Which equation shows a valid step in solving $\sqrt[3]{2 x-6}+\sqrt[3]{2 x+6}=0$ ? $(\sqrt[3]{2 x-6})^{2}=(\sqrt[3]{2 x+6})^{2}$ $(\sqrt[3]{2 x-6})^{2}=(-\sqrt[3]{2 x+6})^{2}$ $(\sqrt[3]{2 x-6})^{3}=(\sqrt[3]{2 x+6})^{3}$ $(\sqrt[3]{2 x-6})^{3}=(-\sqrt[3]{2 x+6})^{3}$ Mark this and return sessmentViewer/Activit...

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Problem 12387

What is the solution of $\sqrt{x^{2}+49}=x+5$ ? $x=\frac{12}{5}$ $x=-\frac{12}{5}$ $x=-6$ or $x=-3$ no solution

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Problem 12388

13) Ends of a diameter: $(-17,-9)$ and $(-19,-9)$ 14) Ends of a diameter: $(-3,11)$ and $(3,-13)$ 15) Center: $(-15,3 \sqrt{7})$ 16) Center: $(-11,-14)$
Area: $2 \pi$ Area: $16 \pi$ 17) Center: $(-5,12)$ 18) Center: $(15,14)$
Circumference: $8 \pi$ Circumference: $2 \pi \sqrt{15}$ 19) Center: $(2,-5)$
Point on Circle: $(-7,-1)$ 20) Center: $(14,17)$
Point on Circle: $(15,17)$ 21) Center: $(-15,9)$ 22) Center: $(-2,12)$
Tangent to $x=-17$ Tangent to $x=-5$

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Problem 12389

Which equation shows a valid, practical step in solving $\sqrt[4]{2 x-8}+\sqrt[4]{2 x+8}=0$ ? $(\sqrt[4]{2 x-8})^{3}=-(\sqrt[4]{2 x+8})^{3}$ $(\sqrt[4]{2 x-8})^{3}=(-\sqrt[4]{2 x+8})^{3}$ $(\sqrt[4]{2 x-8})^{4}=-(\sqrt[4]{2 x+8})^{4}$ $(\sqrt[4]{2 x-8})^{4}=(-\sqrt[4]{2 x+8})^{4}$

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Problem 12390

Which equation can be rewritten as $x+4=x^{2}$ ? Assume $x>0$
$\sqrt{x}+2=x$
$\sqrt{x+2}=x$ $\sqrt{x+4}=x$ $\sqrt{x^{2}+16}=x$

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Problem 12391

5) One of the following statements is true - a) $\operatorname{det}\left(A B^{-1} d=\operatorname{det}(A) \operatorname{det}(B)\right.$ (D) $a_{21} A_{31}+a_{22} A_{32}+a_{23} A_{33}=\operatorname{det}(A)$ c) $\operatorname{det}\left(2 A^{-1}\right)^{2}=2 \operatorname{det}\left(A^{T}\right)$ d) If $A=\left[\begin{array}{cc}\cos x & -\sin x \\ \sin x & \cos x\end{array}\right]$ , then $\operatorname{det}(\mathrm{A})=1$ e) $\operatorname{det}(\mathrm{A})-\operatorname{det}\left(A^{T}\right)=1$

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Problem 12392

Find the $x$ - and $y$ -intercepts of the following lines.
1. $2 x+3 y=24$
2. $3 x-5 y=30$
3. $7 x-4 y=84$
4. $x+y=8$ $5, x=5$
6. $3 y=66$

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Problem 12393

13 Finde den Fehler! a) Zeige durch Einsetzen eines Werts für x oder mithilfe einer Probe, dass die Rechnungen falsch sein müssen. b) Erkläre, was falsch gemacht wurde, und korrigiere im Heft. $\text { (1) } \begin{aligned} & 4 x-(x+2) \\ = & 4 x-x+2 \\ = & 3 x+2 \end{aligned}$ (2) $5 x+3=0 \quad \mid-2$ $7 x=0 \quad 1: 7$ (3) $\begin{array}{c} 4 x+2=2 x-2 \\ 2 x=-4 \quad \mid-2 \\ x=-6 \end{array}$ $\text { (4) } \begin{aligned} \frac{2}{5} x+\frac{1}{5} & =0,3 \quad \mid \cdot 5 \\ 2 x+\frac{1}{5} & =0,15 \quad \left\lvert\,-\frac{1}{5}\right. \\ 2 x & =-0,05 \quad \mid: 2 \\ x & =-0,25 \end{aligned}$

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Problem 12394

2. Assume the following transactions occured during 2023:
Jan I, Purple purchases $30 \%$ of Yellow's common stock for $\$ 150,000$ . June 30, Yellow reported net income of $\$ 50,000$ . June 30, Yellow declared \ $20,000 Dividends. July 1, Purple purchases additional$ 10 \% $of Yellow's common stock for$ \ $50,000$ . Dec 31, Yellow reported net income of $\$ 65,000$ . Dec 31, Yellow declared $\$ 20,000$ dividends. The Investment in Yellow account balance reported by Purple at December 31, 2023 would be A. $\$ 250,000$ B. $\$ 275,000$ C. $\$ 227,000$ D. $\$ 222,500$

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Problem 12395

8.. Two years ago, Print Co, acquired $30 \%$ of Stamp Co, common stock for $\$ 750,000$ . Today, Print acquired the remaining $70 \%$ shares of Stamp for $\$ 2,100,000$ cash. Print's total investment would a mount to A. $\$ 3,200,000$ , B. $\$ 2,500,000$ , C. $\$ 3,000,000$ , D. $\$ 2,850,000$ .

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Problem 12396

27. Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses, and adjust their diet. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 50.0 N is exerted, and an astronaut's acceleration is measured to be $0.893 \mathrm{~m} / \mathrm{s}^{2}$ . (a) Calculate her mass. (b) By exerting a force on the astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the system (astronaut and spaceship) that would be measured by a nearby observer. (c) Discuss how this would affect the measurement of the astronaut's acceleration. Propose a method by which recoil of the vehicle is avoided.

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Problem 12397

astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the system (astronaut and spaceship) that would be measured by a nearby observer. (c) Discuss how this would affect the measurement of the astronaut's acceleration. Propose a method by which recoil of the vehicle is avoided.
28. In Figure 5.4.3, the net external force on the $24-\mathrm{kg}$ mower is given as 51 N . If the force of friction opposing the motion is 24 N , what force F '(in newtons is the person exerting on the mower? Suppose the mower is moving at $1.5 \mathrm{~m} / \mathrm{s}$ when the force $F$ is removed. How far will the mower go before stopping?

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Problem 12398

29. The rocket sled shown below decelerates at a rate of $196 \mathrm{~m} / \mathrm{s}^{2}$ . What force is necessary to produce this deceleration? Assume that the rockets are off. The mass of the system is $2.10 \times 10^{3} \mathrm{~kg}$ .

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Problem 12399

. If the rocket sled shown in the previous problem starts with only one rocket burning, what is the magnitude of this acceleration? Assume that the mass of the system is $2.10 \times 10^{3} \mathrm{~kg}$ , the thrust T is $2.40 \times 10^{4} \mathrm{~N}$ , and the force of friction opposing the motion is 650.0 N . (b) Why is the acceleration not onefourth of what it is with all rockets burning?

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Problem 12400

2. Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 75.0 N , the second exerts a force of 90.0 N , friction is 12.0 N , and the mass of the third child plus wagon is 23.0 kg . (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (See the free-body diagram.) (b) Calculate the acceleration. (c) What would the acceleration be if friction were 15.0 N ?

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Equation

Problem 12301

Question If Will takes out a 13,000 loan at 4.3%4.3 \%4.3% interest compounded semiannually and pays it off in one payment after 6 years, how much is the payment? Round you answer to the nearest cent.

Problem 12302

Problem 12303

The 20.0 W electric motor of a toy car is ranked as 91.0%91.0 \%91.0% efficient. If the motor is to accelerate the 740 g car from rest along a horizontal surface, then determine the maximum speed that the car can attain in 3.80 seconds.

Problem 12304

Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) er+10−10=−35r=□\begin{array}{l} e^{r+10}-10=-35 \\ r=\square \end{array}er+10−10=−35r=□​

Problem 12305

Find an equation for the line that passes through the points (−1,2)(-1,2)(−1,2) and (−5,4)(-5,4)(−5,4). □\square□ II

Problem 12306

(1) xdy−2ydx=0x d y-2 y d x=0xdy−2ydx=0 (2) x2dy+(y2−xy)dx=0x^{2} d y+\left(y^{2}-x y\right) d x=0x2dy+(y2−xy)dx=0

Problem 12307

Compute the value of the discriminant and give the number of real solutions of the quadratic equation. −2x2+6x−9=0-2 x^{2}+6 x-9=0−2x2+6x−9=0Discriminant: Number of real solutions:

Problem 12308

A trapezoid has base lengths of 4 feet and 19 feet, and an area of 115 square feet. What is the height of the trapezoid?

Problem 12309

Problem 12310

Problem 12311

x=−5 and x=6x=-5 \text { and } x=6x=−5 and x=65 Multiple Choice 1 pointSolve the following absolute value equation.5. ∣3x+4∣=2x−1|3 x+4|=2 x-1∣3x+4∣=2x−1 x=−3/5x=-3 / 5x=−3/5 x=−5x=-5x=−5 No solution x=−5x=-5x=−5 and x=−3/5x=-3 / 5x=−3/5 6 Multiple Choice 1 point

Problem 12312

Problem 12313

Problem 12314

Problem 12315

Problem 12316

Problem 12317

Problem 12318

Solve for x : x=□x=\squarex=□ □\square□ Round to the nearest whole number

Problem 12319

Find the volume of a square pyramid. V=V=V= \qquad m3m^{3}m3

Problem 12320

Problem 12321

Solve for x.x+3=6\mathrm{x} . \quad \sqrt{x+3}=6x.x+3​=6 9 36 3 33

Problem 12322

Find the equation of the circle with center at the origin that contains the point (8,15)(8,15)(8,15).

Problem 12323

Problem 12324

Problem 12325

Reroudre dana R\mathbb{R}R a) ln⁡(3x−5)=ln⁡(x−2\ln (3 x-5)=\ln (x-2ln(3x−5)=ln(x−2 8) ln⁡(x2+3x+2)=ln⁡(x+10)\ln \left(x^{2}+3 x+2\right)=\ln (x+10)ln(x2+3x+2)=ln(x+10)

Problem 12326

Find the center, the vertices, the foci, and the asymptotes. Then draw the graph. (x−2)29−(y+5)216=1\frac{(x-2)^{2}}{9}-\frac{(y+5)^{2}}{16}=19(x−2)2​−16(y+5)2​=1

Problem 12327

Problem 12328

The ends of a bar have to be machined down until the bar is 3 m long. After 5%5 \%5% of the length had been removed, it was found that 0.5%0.5 \%0.5% of the new length still had to come off. What length was removed at each machining and what was the original length of the bar?

Problem 12329

\qquad %\%% of 30=1830=1830=18

Problem 12330

A nurse is to administer 150 mg of a drug intramuscularly. The label on the multidose vials reads 100mg/mL100 \mathrm{mg} / \mathrm{mL}100mg/mL. How much would the nurse give?

Problem 12331

Problem 12332

- ∣h=\text { - }\left.\right|^{h=} - ∣h= c=c=c=

Problem 12333

Check for extraneous solutions.8. ln⁡2a=9\ln 2 a=9ln2a=92

Problem 12334

Problem 12335

12. 13⋅ln⁡27+ln⁡(x−5)=4\frac{1}{3} \cdot \ln 27+\ln (x-5)=431​⋅ln27+ln(x−5)=4

Problem 12336

Problem 12337

A sealed can of gas has a pressure of 2.0 atm at 300 K . If the can is heated to 600 K , what will the pressure become (assuming constant volume)?

Problem 12338

Problem 12339

Problem 12340

Problem 12341

Problem 12342

Problem 12343

Problem 12344

Problem 12345

Solve the equation 8tan⁡(4θ)+3=118 \tan (4 \theta)+3=118tan(4θ)+3=11 for a value of θ\thetaθ in the first quadrant. Give your answer in radians and degrees. θ=\theta=θ= □\square□ radians, to 4 decimal places or □\square□ degrees.

Problem 12346

Write an equation of the line below. Explanation Check

Problem 12347

Problem 12348

Point SSS is the midpoint of line RT. RS is 3x+203 x+203x+20 and RT is 12x−1012 x-1012x−10. What is the length of RS? Round your answer to the nearest hundredth if necessary. Your Answer:AnswerQuestion 3 (2 points)

Problem 12349

Problem 12350

What is the volume of this cone? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ cubic inches Submit

Problem 12351

A cone has a volume of 1899.7 cubic meters and a height of 15 meters. What is its radius? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. r≈□r \approx \squarer≈□ meters Submit

Problem 12352

What is the volume of this cone? Use π≈3.14\pi \approx 3.14π≈3.14 and round your answer to the nearest hundredth. □\square□ cubic yards

Question If Will takes out a 13,000 loan at $4.3 \%$ interest compounded semiannually and pays it off in one payment after 6 years, how much is the payment? Round you answer to the nearest cent.

The 20.0 W electric motor of a toy car is ranked as $91.0 \%$ efficient. If the motor is to accelerate the 740 g car from rest along a horizontal surface, then determine the maximum speed that the car can attain in 3.80 seconds.

Use logarithms to solve. (If there is no solution, enter NO SOLUTION.) $\begin{array}{l} e^{r+10}-10=-35 \\ r=\square \end{array}$

Find an equation for the line that passes through the points $(-1,2)$ and $(-5,4)$ . $\square$ II

(1) $x d y-2 y d x=0$ (2) $x^{2} d y+\left(y^{2}-x y\right) d x=0$

Compute the value of the discriminant and give the number of real solutions of the quadratic equation. $-2 x^{2}+6 x-9=0$
Discriminant:
Number of real solutions:

$x=-5 \text { and } x=6$
5 Multiple Choice 1 point
Solve the following absolute value equation.
5. $|3 x+4|=2 x-1$ $x=-3 / 5$ $x=-5$ No solution $x=-5$ and $x=-3 / 5$ 6 Multiple Choice 1 point

Solve for x : $x=\square$ $\square$ Round to the nearest whole number

Find the volume of a square pyramid. $V=$ $\qquad$ $m^{3}$

Solve for $\mathrm{x} . \quad \sqrt{x+3}=6$ 9 36 3 33

Find the equation of the circle with center at the origin that contains the point $(8,15)$ .

Reroudre dana $\mathbb{R}$ a) $\ln (3 x-5)=\ln (x-2$ 8) $\ln \left(x^{2}+3 x+2\right)=\ln (x+10)$

Find the center, the vertices, the foci, and the asymptotes. Then draw the graph. $\frac{(x-2)^{2}}{9}-\frac{(y+5)^{2}}{16}=1$

The ends of a bar have to be machined down until the bar is 3 m long. After $5 \%$ of the length had been removed, it was found that $0.5 \%$ of the new length still had to come off. What length was removed at each machining and what was the original length of the bar?

$\qquad$ $\%$ of $30=18$

A nurse is to administer 150 mg of a drug intramuscularly. The label on the multidose vials reads $100 \mathrm{mg} / \mathrm{mL}$ . How much would the nurse give?

$\text { - }\left.\right|^{h=}$ $c=$

Check for extraneous solutions.
8. $\ln 2 a=9$
2

12. $\frac{1}{3} \cdot \ln 27+\ln (x-5)=4$

Solve the equation $8 \tan (4 \theta)+3=11$ for a value of $\theta$ in the first quadrant. Give your answer in radians and degrees. $\theta=$ $\square$ radians, to 4 decimal places or $\square$ degrees.

Point $S$ is the midpoint of line RT. RS is $3 x+20$ and RT is $12 x-10$ . What is the length of RS? Round your answer to the nearest hundredth if necessary. Your Answer:
Answer
Question 3 (2 points)

What is the volume of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ cubic inches Submit

A cone has a volume of 1899.7 cubic meters and a height of 15 meters. What is its radius? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $r \approx \square$ meters Submit

What is the volume of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $\square$ cubic yards

e volume of this cone is $2,562.24$ cubic feet. What is the height of this cor e $\pi \approx 3.14$ and round your answer to the nearest hundredth. $h \approx$ $\square$ feet

The volume of this cone is $1,519.76$ cubic meters. What is the height of this cone? Use $\pi \approx 3.14$ and round your answer to the nearest hundredth. $h \approx$ $\square$ meters

2. (4 punti)
Una gru, il cui motore ha una potenza di $3,00 \mathrm{~kW}$ , solleva di $10,4 \mathrm{~m}$ , a velocità costante, un carico che ha massa di 359 kg . Calcola il tempo impiegato dalla gru per sollevare il carico.

tisten
This inpus-outpul tabte shows some values that satisty the equation $y=4 x+21$ . 2 2 4 5
What number correctily tils in the biank in the tatie?

$6 x^{2}=-x$
Select the correct choice below and, if necessary, fill in the ans A. The solution set is $\square$ \}. (Simplify your answer. Use a comma to separate answ B. The scifution set is $\varnothing$ .

1. Risolvi l'equazione parametrica: $a x+b=c x+d$ , dove $a, b, c$ e $d$ sono costanti.
2. Trova $x$ se $2 x+a=b x-5$ , con $a$ e $b$ costanti.

Find an equation of the line described. Leave the solution in the form $A x+B y=C$ . The line has intercepts $a=7$ and $b=-7$ .
Need Help? Read It

Consider the following lines. Line 1: $3 x-4 y=12$ Line 2: a line perpendicular to $3 x-4 y=12$ that contains the point $(3,-4)$ Write the equation of Line 1 in slope-intercept form. $\square$ Find the slope of Line 1. $\square$

1. Risolvi l'equazione: $x-\sqrt{a} x+1=0$ , dove $a$ è un parametro reale positivo.
2. Trova le soluzioni di $2 x^{2}+\frac{a}{x}-3=0$ , dove $a$ è un parametro reale positivo.

-- webassign.net/web/Student/Assignment-Responses/submit?pos=48dep=360168108tags=au Consider the following lines. Line 1: $3 x-4 y=12$ Line 2: a line perpendicular to $3 x-4 y=12$ that contains the point $(3,-4)$

12) through: $(1,3)$ , perp. to $y=x+5$

1) through: $(1,3)$ , parallel to $y=x-4$