Solve

Problem 25001

15. $(2 x-7)(x+5)=0$

See Solution

Problem 25002

Write the Maclaurin series for $f(x) = 5x^2 e^{-2x}$ as $\sum_{n=0}^{\infty} c_n x^n$ .
Find the first six coefficients.
$c_0 =$ $c_1 =$ $c_2 =$ $c_3 =$ $c_4 =$ $c_5 =$

See Solution

Problem 25003

This is Section 4.4 Problem 46: For the function $f(x)=x^{2}-2 x+1$ on the interval $[0,2]$ , the average value of $f$ is is $\square$ . (Use a fraction.)
Hint: Follow Exämple 6. $\square$

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Problem 25004

Consider the following limit of Riemann sums of a function $f$ on $[a, b]$ . Identify $f$ and express the limit as a definite integral. $\lim _{\Delta \rightarrow 0} \sum_{k=1}^{n} x_{k}^{} \tan ^{2} x_{k}^{} \Delta x_{k} ;[2,3]$
The limit, expressed as a definite integral, is $\square$ $\square$ $\square$

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Problem 25005

$20$
$(a)$ When steam is passed over carbon at $700^\circ C$ , the equilibrium (partial pressure) for water and hydrogen is $90 kPa$ and $183 kPa$ respectively.
$(i)$ Calculate $K_p$ at $700^\circ C$ .
$(ii)$ What is the new equilibrium partial pressure of hydrogen if after the system had achieved equilibrium, the partial pressure of steam is increased to $150 kPa$ at the same temperature? $[3]$

See Solution

Problem 25006

What is the standard enthalpy of formation of $PCl_3(g)$ in kJ mol $^{-1}$ ? (Note that $P_4(s)$ is the standard state of phosphorus)
$P_4(s) + 10 Cl_2(g) \rightarrow 4 PCl_5(s)$ $\Delta H^{\circ} = -1774.0$ kJ $PCl_3(g) + Cl_2(g) \rightarrow PCl_5(s)$ $\Delta H^{\circ} = -156.5$ kJ
-287.0 +1517.5 +287.0 -1517.5 +474.0

See Solution

Problem 25007

Question 2 What happens to total peripheral resistance during exercise? Decreases because increased $CO2$ near muscles decreases local arteriole resistance Increases because arterioles near muscles vasodilate Increases because the sympathetic nervous system is activated Decreases because all the arterioles in the body vasodilate

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Problem 25008

For the equation $y=-\frac{x}{5}+2$ a) Complete the table: \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-5 & $\square$ \\ \hline 0 & $\square$ \\ \hline 5 & $\square$ \\ \hline \end{tabular} b) Use the appropriate tool to graph the given equation.

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Problem 25009

Find all zeros of $f(x)=x^{3}-4 x^{2}-5 x+14$ . Enter the zeros separated by commas. Enter exact value, not decimal approximations.

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Problem 25010

Find the area of this square. 5 yd

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Problem 25011

plus $\$ 25$ for each charm. The equation $-25 x+y=65$ (in dollars) of the bracelet, represents the cost $y$ (in of charms. where $x$ is the number a. Graph the equation. b. How much does a bracelet with three charms cost? 2,

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Problem 25012

13. III To throw a discus, the thrower holds it with a fully outstretched arm. Starting from rest, he begins to turn with a constant angular acceleration, releasing the discus after making one complete revolution. The diameter of the circle in which the discus moves is about 1.8 m . If the thrower takes 1.0 s to complete one revolution, starting from rest, what will be the speed of the discus at release?

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Problem 25013

1-10. Place the correct letter corresponding to each integer on the number line below. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|} \\ \hline & & & & & & & & & & & & & & & & & & \\ \hline \end{tabular} $-10$ \begin{tabular}{|c|c|c|c|c|c|} \hline A. -5 & B. +2 & C. -7 & D. 4 & E. -9 \\ \hline F. -1 & G. +6 & H. -3 & I. 0 & J. -6 \\ \hline \end{tabular}
Write an integer to represent each situation. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline 11. & lost $\$ 72$ & & 12. & gained 8 yards & & 13. & fell 16 degrees \\ \hline \end{tabular}
Name the opposite of each integer. \begin{tabular}{|r|c|r|c|c|c|c|c|} \hline Name the opposite of each integer. \\ \hline 14. & 26 & & 15. & -83 & & 16 & +100 \\ \hline \end{tabular}
Compare the following integers. Write $<,>$ , or $=$ .
Write true or false. \begin{tabular}{|c|c|l|l|c|l|c|c|} \hline 29. & $-3>-7$ & & 30. & $9>-1$ & & 31 & $-6>-2$ \\ \hline 32. & $|-5|<-5$ & & 33. & $|-8|=|8|$ & & 34. & $-5<-6$ \\ \hline \end{tabular}
35. List the following temperatures from greatest to least. \begin{tabular}{|c|l|} \hline A & The temperature was 25 degrees Fahrenheit below zero. \\ \hline B & The pool temperature was 78 degrees Fahrenheit. \\ \hline C & Water freezes at 32 degrees Fahrenheit. \\ \hline D & The low temperature in December is -3 degrees Fahrenheit. \\ \hline E & The temperature in the refrigerator was 34 degrees Fahrenheit. \\ \hline \end{tabular}

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Problem 25014

A rectangular room has a perimeter of 70 m and is 20 m long. Find the width.

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Problem 25015

This is similar to Section 4.5 Problem 18:
Determine the indefinite integral $\int \frac{12 x^{2}}{\left(x^{3}+4\right)^{2}} d x$ by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.
Answer: $\square$
Hint: Follow Example 6.

See Solution

Problem 25016

Determine the indefinite integral $\int \frac{36 x^{5}}{x^{6}+5} d x$ by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.
Answer: $\square$
Hint: Follow Example 6.

See Solution

Problem 25017

e for x : $3125^{x+3}=25^{3 x-1}$ Attempt 1 out of 2

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Problem 25018

tion list restion 14 vestion 15
Find the zerrs of the function aloworracally. $f(x)=3 x^{2}-x+2$
The zeros are $\square$ . (Sinclly your answer: Type an exact answer, using radicals and ias needed. Use inte

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Problem 25019

for x : $\left(\frac{1}{125}\right)^{-5 x+1}=\left(\frac{1}{25}\right)^{-x-5}$ Attempt 1 out of 2

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Problem 25020

Determine the indefinite integral $\int \frac{4}{7 x-8} d x$ by substitution. Assume $u>0$ when $\ln (u)$ appears. (It is recommended that you check your results by differentiation.) Use capital C for the f
Answer: $\square$
Hint: Follow Examples 5 and 6. Submit Answer

See Solution

Problem 25021

What is the measure of an interior angle in a regular triangle? Write your answer as an integer or as a decimal rounded to the nearest tenth.

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Problem 25022

4.02 Percent Increase and decrease
3. The price of a phone was increased by $16\%$ and then reduced by $10\%$ . What was the overall percentage increase? Enter your next step here

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Problem 25023

This is Section 4.5 Problem 58: Evaluate the definite integral $\int_{0}^{1} 3 r^{2} e^{r^{3}} d r$ by the following: (a) Determine the indefinite integral $\int 3 r^{2} e^{r^{3}} d r$ by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.
Answer: $\square$ (b) The exact value of the definite integral is $\square$ .

See Solution

Problem 25024

This is Section 4.5 Problem 66: Evaluate the definite integral $\int_{2}^{10} \frac{1}{\sqrt{5 x-1}} d x$ by the following: (a) Determine the indefinite integral $\int \frac{1}{\sqrt{5 x-1}} d x$ by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.
Answer: $\square$ (b) The exact value of the definite integral is $\square$

See Solution

Problem 25025

(1 point)
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves $x=y^{2}$ and $x=1$ about the line $x=1$ . Volume $=$ $\square$

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Problem 25026

Evaluate the integral by making the given substitution. (Use $C$ for the constant of integration.) $\int e^{-5 x} d x, \quad u=-5 x$

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Problem 25027

To estimate the height of a building, a student finds the angle of elevation from a point (at ground level) down the street from the building to the top of the building is $38^\circ$ . From a point that is 350 feet closer to the building, the angle of elevation (at ground level) to the top of the building is $57^\circ$ . If we assume that the street is level, use this information to estimate the height of the building.
Round your answer to the nearest whole number.
The height of the building is _______ feet.

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Problem 25028

A recent poll asked respondents to fill in the blank to this question: "The country $\qquad$ when it comes to giving equal rights to women" with one of three choices. The results are shown in the accompanying table using a sample size of 80 men and 80 women. Complete parts a and b below. \begin{tabular}{|l|c|c|c|c|} \hline & \begin{tabular}{c} Hasn't Gone \\ Far Enough \end{tabular} & \begin{tabular}{c} Has Been \\ About Right \end{tabular} & \begin{tabular}{c} Has Gone \\ Too Far \end{tabular} & Total \\ \hline Men & 33 & 35 & 12 & 80 \\ \hline Women & 43 & 29 & 8 & 80 \\ \hline Total & 76 & 64 & 20 & 160 \\ \hline \end{tabular} A. P(male and responded "hasn't gone far enough") B. P(hasn't gone far enough | male) C. $P$ (male I hasn't gone far enough) b. Find the probability that a person randomly selected from only the men in this group responded "hasn't gone far enough."
The probability is $\square$ (Simplify your answer.)

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Problem 25029

If $u=f(x)$ , then $d u=f^{\prime}(x) d x$ , and so it is helpful to look for some expression in $\int e^{x} \sqrt{36+e^{x}} d x$ for which the derivative is also present.
We see that $36+e^{x}$ is part of this integral, and the derivative of $36+e^{x}$ is $\square$ , which is also present. Submit Skip (you cannot come back)

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Problem 25030

Question Compute the exact value of $\tan\left(\frac{19\pi}{12}\right)$ .
Provide your answer below:
Content attribution FEEDBACK MORE INSTRUCTION

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Problem 25031

Twenty-five percent of the students at Marcus Garvey Middle School bring their lunches from home. 225 students do not bring their lunch. How many students attend the school? Draw and label a diagram to show the number and percent of each group of students. Homework Help a

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Problem 25032

QUESTION The carbon skeleton formula (also called a line formula) shows the carbon-carbon bonds only as lines. Each end or bend of a line represents a carbon atom bonded to as many hydrogen atoms as necessary to form a total of four bonds. Carbon skeleton formulas allow us to draw complex structures quickly. Section 22.3 of your text.
The functional group circled is a(n) _______.
ANSWER carboxylic acid ester aldehyde ketone I DON'T KNOW YET

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Problem 25033

Question Watch Video Show Examples
If $f(x)$ is an exponential function of the form of $y=a b^{x}$ where $f(5)=5$ and $f(14)=35$ , then find the value of $f(18)$ , to the nearest hundredth.
Answer Attempt 2 out of 2 $27.74$ Submit Answer

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Problem 25034

Determine the indefinite integral $\int-6 x^{2} e^{4 x^{3}+5} d x$ by substitution. (It is recommended that you check your result rentiation.) Use capital C for the free constant.
Answer: $\square$
Hint: Follow Example 7. Submit Answer

See Solution

Problem 25035

Question Watch Video Show Examples
If $f(x)$ is an exponential function of the form of $y=a b^{x}$ where $f(-4.5)=20$ and $f(1.5)=11$ , then find the value of $f(-4)$ , to the nearest hundredth.
Answer Attempt 2 out of 2 $16.35$ Submit Answer

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Problem 25036

A variable $\boldsymbol{x}$ is normally distributed with mean 25 and standard deviation 3. Round your answers to the nearest hundredth as needed. a) Determine the $z$ -score for $x=28$ . $z=$ $\square$ b) Determine the $z$ -score for $x=20$ . $z=$ $\square$ c) What value of $x$ has a $z$ -score of 1.33 ? $x=$ $\square$ d) What value of $x$ has a $z$ -score of 0.3 ? $x=$ $\square$ e) What value of $x$ has a $z$ -score of 0 ? $x=$ $\square$

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Problem 25037

The lengths of mature trout in a local lake are approximately normally distributed with a mean of $\mu=13.7$ inches, and a standard deviation of $\sigma=1.6$ inches.
Fill in the indicated boxes.
Find the z -score corresponding to a fish that is $\mathbf{1 3 . 3}$ inches long. Round your answer to the nearest hundredth as needed. $z=$ $\square$ How long is a fish that has a z -score of 0.2 ? Round your answer to the nearest tenth as needed. $\square$ inches

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Problem 25038

Question You are given that $\cos(A) = -\frac{3}{5}$ , with $A$ in Quadrant II, and $\cos(B) = \frac{8}{17}$ , with $B$ in Quadrant I. Find $\cos(A - B)$ . Give your answer as a fraction. Provide your answer below:

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Problem 25039

$x^2 + 8x + 12 = 0$

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Problem 25040

For number 10 and 11 graph the function and identify the domain and range. 10) $f(x)=\sqrt{x-3}$ 11) $g(x)=\sqrt{x+4}$
For number 12-13 solve the equation and check your answer. 12) $3 \sqrt[3]{5 x+6}=18$

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Problem 25041

Solve the inequality $9 - 3x \leq -(1 + 5x)$ and graph the solution set.

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Problem 25042

Calculate the product of 6.1 cm and 1.6 cm.

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Problem 25043

Find the value of $\sqrt[8]{x^{9}}$ .

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Problem 25044

A rocket starts from rest with mass $m_0$ and burns fuel at rate $k$ . Find $v(t)$ from $m = m_0 - kt$ and $m \frac{dv}{dt} = ck - mg$ .
(a) $v(t) = \, \mathrm{m/sec}$
(b) If fuel is 80% of $m_0$ and lasts 110s, find $v(110)$ with $g=9.8 \, \mathrm{m/s}^2$ and $c=2500 \, \mathrm{m/s}$ .
$v(110) = \, \mathrm{m/sec}$ [Round to nearest whole number]

See Solution

Problem 25045

What is the value of $\frac{1}{\sqrt{e}}$ ?

See Solution

Problem 25046

Solve the inequality $9 - 3x \leq -(1 + 5x)$ and express the solution as an interval. Graph the solution set.

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Problem 25047

Find the missing factor $D$ in the equation $-15 y^{4}=(D)(3 y^{2})$ .

See Solution

Problem 25048

Calculate the following: $36^{\frac{3}{2}}$ , $\left(\frac{1}{81}\right)^{\frac{-1}{2}}$ , $\left(\frac{1}{125}\right)^{\frac{-2}{3}}$ .

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Problem 25049

Varia pays \$3,500 yearly. Convert to euros at 0.7306 euros per \$1. How much is that monthly in euros? Round to nearest euro.

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Problem 25050

Find the derivative of $e^{x} \cos x$ .

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Problem 25051

Calculate the sum: $-82 + (-14) =$

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Problem 25052

Find the product and express it as $a + b i$ : simplify $(2 + 5 i)^{2}$ .

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Problem 25053

Find the difference and express it as $a + b i$ : $(-3 + 2 i) - (4 - 3 i)$

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Problem 25054

Solve the equation $x^{2}+8 x+17=0$ and express solutions as $a+b i$ .

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Problem 25055

Find the displacement of a mass on a spring from $t=0$ to $t=\pi$ given $v(t)=6 \sin(t)-6 \cos(t)$ . Evaluate $\int_{0}^{\pi}(6 \sin(t)-6 \cos(t)) dt$ .

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Problem 25056

There were 120 boys at a concert and 15 more girls than boys. How many girls were there?

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Problem 25057

Calculate $-12 + (-12)$ .

See Solution

Problem 25058

Solve for real values of $x$ in the equation $(x+9)^{2}-7(x+9)-18=0$ .

See Solution

Problem 25059

Solve for $x$ given $y=87.5$ in the equation $300 x+\frac{500}{7} y=10000$ .

See Solution

Problem 25060

Calculate the work done by the force $F(x)=x^{-1}+4x$ from $x=3$ to $x=5$ : $W=\int_{3}^{5}(x^{-1}+4x)dx$

See Solution

Problem 25061

Find the distance a wave travels from $t=1$ to $t=4$ given $v=\sqrt{\frac{8}{x}}$ . Evaluate the integral $\int_{1}^{4} \sqrt{\frac{8}{x}} d x$ .

See Solution

Problem 25062

Solve for all real values of $y$ in the equation $y^{5}-18 y^{4}+6 y^{3}=0$ .

See Solution

Problem 25063

A car's velocity is given by $v(t)=2 t^{1/2}+5$ . Find the displacement (in m) from $t=2$ to $t=8$ .

See Solution

Problem 25064

Solve for $x$ in the equation $\sqrt{6x - 1} = 3$ . What are the real solutions?

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Problem 25065

Calculate moles of ethanol needed for 0.085 mol of acetic acid from the reaction: $\mathrm{C_2H_5OH} + \mathrm{O_2} \rightarrow \mathrm{H_2O} + \mathrm{CH_3COOH}$ .

See Solution

Problem 25066

Calculate the moles of oxygen from the reaction of 0.800 mol of ammonium perchlorate $\left(\mathrm{NH}_{4} \mathrm{ClO}_{4}\right)$ .

See Solution

Problem 25067

Find the displacement and total distance traveled by a particle with velocity $v(t)=4-2t$ from $t=0$ to $t=6$ .

See Solution

Problem 25068

Find all real solutions for the equation: $y^{5}-16 y^{4}+52 y^{3}=0$ . What are the values of $y$ ?

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Problem 25069

A stone is thrown from a $120 \mathrm{ft}$ cliff at $148 \mathrm{ft/s}$ . Find: (a) time to highest point, (b) max height, (c) time to beach, (d) impact velocity.

See Solution

Problem 25070

Calculate the moles of oxygen needed for 1.8 mol of carbon dioxide from burning octane $\left(\mathrm{C}_{8} \mathrm{H}_{18}\right)$ .

See Solution

Problem 25071

Find the derivative of $f(x)=4 \cos 2 x+\log x+x$ .

See Solution

Problem 25072

Calculate the value of $10^{2} \cdot 10^{3}$ . Options: 100,000, 10, 1,100, $10^{5}$ .

See Solution

Problem 25073

Find the position of a particle at time $t=7$ given $a(t)=18t+2$ , $s(0)=16$ , and $v(0)=7$ .

See Solution

Problem 25074

A particle has acceleration $a(t)=t-5/2$ m/s² for $0 \leq t \leq 9$ . Find $v(t)$ , $d(t)$ , and total distance traveled.

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Problem 25075

Find the water flow in liters from a tank in the first 16 minutes, given $r(t)=200-4t$ , for $0 \leq t \leq 50$ .

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Problem 25076

Calculate the total oil leaked in the first 5 hours after the tanker breaks apart using $R(t)=\frac{0.9}{1+t^{2}}$ .

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Problem 25077

What is $\frac{3}{4} \div 4$ ?

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Problem 25078

Calculate the slope of the line through the points $(-3,3)$ and $(5,9)$ .

See Solution

Problem 25079

Graph the line given by the equation $y=-\frac{2}{3} x+1$ .

See Solution

Problem 25080

Solve the equation: $-10 x + 1 + 7 x = 37$ . Find the value of $x$ . Options: $-15$ , $-12$ , $12$ , $15$ .

See Solution

Problem 25081

Find the displacement and total distance traveled by a particle with velocity $v(t)=4-2t$ from $t=0$ to $t=6$ .

See Solution

Problem 25082

A stone thrown from a 120 ft cliff at 148 ft/s, with gravity -32 ft/s². Find time to highest point, max height, time to beach, and impact velocity.

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Problem 25083

Calculate $-1 \frac{7}{8} \div \frac{3}{4}$ .

See Solution

Problem 25084

Solve for $g$ in the equation: $5(2-g)=0$ .

See Solution

Problem 25085

Find the total sugar in tons from $2 \frac{3}{8}$ containers, each holding $3 \frac{1}{5}$ tons. Express as a mixed number.

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Problem 25086

Evaluate the integral using substitution: $\int \frac{x^{6}}{\sqrt{x^{7}-4}} d x = C$ .

See Solution

Problem 25087

Evaluate the integral using substitution: $\int 7 x^{3} \cos(4 x^{4}) \, dx = C$ .

See Solution

Problem 25088

Find $\frac{\partial f}{\partial x}$ , $\frac{\partial f}{\partial y}$ , and evaluate at (1,-1) for $f(x, y)=6 x e^{5 x y}$ .

See Solution

Problem 25089

Solve for t in the equation: $1 = p r t$

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Problem 25090

Evaluate the integral using substitution: $\int -x(5-8x)^{5} dx =$

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Problem 25091

Evaluate the integral: $\int \frac{x^{6}}{(x^{7}+5)^{7}} \, dx =$

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Problem 25092

Bella bought 1 container each of 12 ounces of blackberries, raspberries, and strawberries. How many ounces are left after baking?

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Problem 25093

Evaluate the integral from 0 to 1: $\int_{0}^{1} 6 x^{4}\left(1-x^{5}\right)^{3} d x=$

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Problem 25094

Evaluate the integral: $\int -3 \sin(x) \sqrt{\cos(x)} \, dx =$

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Problem 25095

Evaluate the integral using substitution: $\int \cos (x)(13-\cos (x))^{8} \sin (x) d x =$

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Problem 25096

Solve for $x$ in the equation $\frac{x-2}{2}=m+n$ .

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Problem 25097

Find the second partial derivatives $f_{xx}(x, y), f_{yy}(x, y), f_{xy}(x, y), f_{yx}(x, y)$ for $f(x, y)=7x^2y$ and evaluate at $(1,-1)$ .

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Problem 25098

Rita has 8.64 pounds of seed. If 7.2 pounds plants 1 acre, how many acres can she plant?

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Problem 25099

Evaluate the integral: $\int_{-\pi / 2}^{\pi / 2} \sin ^{6}(x) \cos (x) d x.$

See Solution

Problem 25100

Rita has 8.64 pounds of seed. If 7.2 pounds plants 1 acre, how many acres can she plant? Calculate: $\frac{8.64}{7.2}$ .

See Solution

1 ...248 249 250 251 252 253 254 ...307

Solve

Problem 25001

15. (2x−7)(x+5)=0(2 x-7)(x+5)=0(2x−7)(x+5)=0

Problem 25002

Write the Maclaurin series for f(x)=5x2e−2xf(x) = 5x^2 e^{-2x}f(x)=5x2e−2x as ∑n=0∞cnxn\sum_{n=0}^{\infty} c_n x^n∑n=0∞​cn​xn.Find the first six coefficients.c0=c_0 = c0​= c1=c_1 = c1​= c2=c_2 = c2​= c3=c_3 = c3​= c4=c_4 = c4​= c5=c_5 = c5​=

Problem 25003

This is Section 4.4 Problem 46: For the function f(x)=x2−2x+1f(x)=x^{2}-2 x+1f(x)=x2−2x+1 on the interval [0,2][0,2][0,2], the average value of fff is is □\square□ . (Use a fraction.)Hint: Follow Exämple 6. □\square□

Problem 25004

Problem 25005

Problem 25006

Problem 25007

Problem 25008

For the equation y=−x5+2y=-\frac{x}{5}+2y=−5x​+2 a) Complete the table: \begin{tabular}{|c|c|} \hlinexxx & yyy \\ \hline-5 & □\square□ \\ \hline 0 & □\square□ \\ \hline 5 & □\square□ \\ \hline \end{tabular} b) Use the appropriate tool to graph the given equation.

Problem 25009

Find all zeros of f(x)=x3−4x2−5x+14f(x)=x^{3}-4 x^{2}-5 x+14f(x)=x3−4x2−5x+14. Enter the zeros separated by commas. Enter exact value, not decimal approximations.

Problem 25010

Find the area of this square. 5 yd

Problem 25011

plus $25\$ 25$25 for each charm. The equation −25x+y=65-25 x+y=65−25x+y=65 (in dollars) of the bracelet, represents the cost yyy (in of charms. where xxx is the number a. Graph the equation. b. How much does a bracelet with three charms cost? 2,

Problem 25012

Problem 25013

Problem 25014

A rectangular room has a perimeter of 70 m and is 20 m long. Find the width.

Problem 25015

Problem 25016

Determine the indefinite integral ∫36x5x6+5dx\int \frac{36 x^{5}}{x^{6}+5} d x∫x6+536x5​dx by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.Answer: □\square□Hint: Follow Example 6.

Problem 25017

e for x : 3125x+3=253x−13125^{x+3}=25^{3 x-1}3125x+3=253x−1 Attempt 1 out of 2

Problem 25018

tion list restion 14 vestion 15Find the zerrs of the function aloworracally. f(x)=3x2−x+2f(x)=3 x^{2}-x+2f(x)=3x2−x+2The zeros are □\square□ . (Sinclly your answer: Type an exact answer, using radicals and ias needed. Use inte

Problem 25019

for x : (1125)−5x+1=(125)−x−5\left(\frac{1}{125}\right)^{-5 x+1}=\left(\frac{1}{25}\right)^{-x-5}(1251​)−5x+1=(251​)−x−5 Attempt 1 out of 2

Problem 25020

Problem 25021

What is the measure of an interior angle in a regular triangle? Write your answer as an integer or as a decimal rounded to the nearest tenth.

Problem 25022

4.02 Percent Increase and decrease3. The price of a phone was increased by 16%16\%16% and then reduced by 10%10\%10%. What was the overall percentage increase? Enter your next step here

Problem 25023

Problem 25024

Problem 25025

(1 point)Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves x=y2x=y^{2}x=y2 and x=1x=1x=1 about the line x=1x=1x=1. Volume === □\square□

Problem 25026

Evaluate the integral by making the given substitution. (Use CCC for the constant of integration.) ∫e−5xdx,u=−5x\int e^{-5 x} d x, \quad u=-5 x∫e−5xdx,u=−5x

Problem 25027

Problem 25028

Problem 25029

Problem 25030

Question Compute the exact value of tan⁡(19π12)\tan\left(\frac{19\pi}{12}\right)tan(1219π​).Provide your answer below:Content attribution FEEDBACK MORE INSTRUCTION

Problem 25031

Twenty-five percent of the students at Marcus Garvey Middle School bring their lunches from home. 225 students do not bring their lunch. How many students attend the school? Draw and label a diagram to show the number and percent of each group of students. Homework Help a

Problem 25032

Problem 25033

Question Watch Video Show ExamplesIf f(x)f(x)f(x) is an exponential function of the form of y=abxy=a b^{x}y=abx where f(5)=5f(5)=5f(5)=5 and f(14)=35f(14)=35f(14)=35, then find the value of f(18)f(18)f(18), to the nearest hundredth.Answer Attempt 2 out of 2 27.7427.7427.74 Submit Answer

Problem 25034

Determine the indefinite integral ∫−6x2e4x3+5dx\int-6 x^{2} e^{4 x^{3}+5} d x∫−6x2e4x3+5dx by substitution. (It is recommended that you check your result rentiation.) Use capital C for the free constant.Answer: □\square□Hint: Follow Example 7. Submit Answer

Problem 25035

Problem 25036

Problem 25037

Problem 25038

Question You are given that cos⁡(A)=−35\cos(A) = -\frac{3}{5}cos(A)=−53​, with AAA in Quadrant II, and cos⁡(B)=817\cos(B) = \frac{8}{17}cos(B)=178​, with BBB in Quadrant I. Find cos⁡(A−B)\cos(A - B)cos(A−B). Give your answer as a fraction. Provide your answer below:

Problem 25039

x2+8x+12=0x^2 + 8x + 12 = 0x2+8x+12=0

Problem 25040

For number 10 and 11 graph the function and identify the domain and range. 10) f(x)=x−3f(x)=\sqrt{x-3}f(x)=x−3​ 11) g(x)=x+4g(x)=\sqrt{x+4}g(x)=x+4​For number 12-13 solve the equation and check your answer. 12) 35x+63=183 \sqrt[3]{5 x+6}=18335x+6​=18

Problem 25041

Solve the inequality 9−3x≤−(1+5x)9 - 3x \leq -(1 + 5x)9−3x≤−(1+5x) and graph the solution set.

Problem 25042

Calculate the product of 6.1 cm and 1.6 cm.

Problem 25043

Find the value of x98\sqrt[8]{x^{9}}8x9​.

Problem 25044

Problem 25045

What is the value of 1e\frac{1}{\sqrt{e}}e​1​?

Problem 25046

Solve the inequality 9−3x≤−(1+5x)9 - 3x \leq -(1 + 5x)9−3x≤−(1+5x) and express the solution as an interval. Graph the solution set.

Problem 25047

Find the missing factor DDD in the equation −15y4=(D)(3y2)-15 y^{4}=(D)(3 y^{2})−15y4=(D)(3y2).

Problem 25048

Calculate the following: 363236^{\frac{3}{2}}3623​, (181)−12\left(\frac{1}{81}\right)^{\frac{-1}{2}}(811​)2−1​, (1125)−23\left(\frac{1}{125}\right)^{\frac{-2}{3}}(1251​)3−2​.

Problem 25049

15. $(2 x-7)(x+5)=0$

Write the Maclaurin series for $f(x) = 5x^2 e^{-2x}$ as $\sum_{n=0}^{\infty} c_n x^n$ .
Find the first six coefficients.
$c_0 =$ $c_1 =$ $c_2 =$ $c_3 =$ $c_4 =$ $c_5 =$

This is Section 4.4 Problem 46: For the function $f(x)=x^{2}-2 x+1$ on the interval $[0,2]$ , the average value of $f$ is is $\square$ . (Use a fraction.)
Hint: Follow Exämple 6. $\square$

For the equation $y=-\frac{x}{5}+2$ a) Complete the table: \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-5 & $\square$ \\ \hline 0 & $\square$ \\ \hline 5 & $\square$ \\ \hline \end{tabular} b) Use the appropriate tool to graph the given equation.

Find all zeros of $f(x)=x^{3}-4 x^{2}-5 x+14$ . Enter the zeros separated by commas. Enter exact value, not decimal approximations.

plus $\$ 25$ for each charm. The equation $-25 x+y=65$ (in dollars) of the bracelet, represents the cost $y$ (in of charms. where $x$ is the number a. Graph the equation. b. How much does a bracelet with three charms cost? 2,

Determine the indefinite integral $\int \frac{36 x^{5}}{x^{6}+5} d x$ by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.
Answer: $\square$
Hint: Follow Example 6.

e for x : $3125^{x+3}=25^{3 x-1}$ Attempt 1 out of 2

tion list restion 14 vestion 15
Find the zerrs of the function aloworracally. $f(x)=3 x^{2}-x+2$
The zeros are $\square$ . (Sinclly your answer: Type an exact answer, using radicals and ias needed. Use inte

for x : $\left(\frac{1}{125}\right)^{-5 x+1}=\left(\frac{1}{25}\right)^{-x-5}$ Attempt 1 out of 2

4.02 Percent Increase and decrease
3. The price of a phone was increased by $16\%$ and then reduced by $10\%$ . What was the overall percentage increase? Enter your next step here

(1 point)
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves $x=y^{2}$ and $x=1$ about the line $x=1$ . Volume $=$ $\square$

Evaluate the integral by making the given substitution. (Use $C$ for the constant of integration.) $\int e^{-5 x} d x, \quad u=-5 x$

Question Compute the exact value of $\tan\left(\frac{19\pi}{12}\right)$ .
Provide your answer below:
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Question Watch Video Show Examples
If $f(x)$ is an exponential function of the form of $y=a b^{x}$ where $f(5)=5$ and $f(14)=35$ , then find the value of $f(18)$ , to the nearest hundredth.
Answer Attempt 2 out of 2 $27.74$ Submit Answer

Determine the indefinite integral $\int-6 x^{2} e^{4 x^{3}+5} d x$ by substitution. (It is recommended that you check your result rentiation.) Use capital C for the free constant.
Answer: $\square$
Hint: Follow Example 7. Submit Answer

Question You are given that $\cos(A) = -\frac{3}{5}$ , with $A$ in Quadrant II, and $\cos(B) = \frac{8}{17}$ , with $B$ in Quadrant I. Find $\cos(A - B)$ . Give your answer as a fraction. Provide your answer below:

$x^2 + 8x + 12 = 0$

For number 10 and 11 graph the function and identify the domain and range. 10) $f(x)=\sqrt{x-3}$ 11) $g(x)=\sqrt{x+4}$
For number 12-13 solve the equation and check your answer. 12) $3 \sqrt[3]{5 x+6}=18$

Solve the inequality $9 - 3x \leq -(1 + 5x)$ and graph the solution set.

Find the value of $\sqrt[8]{x^{9}}$ .

What is the value of $\frac{1}{\sqrt{e}}$ ?

Solve the inequality $9 - 3x \leq -(1 + 5x)$ and express the solution as an interval. Graph the solution set.

Find the missing factor $D$ in the equation $-15 y^{4}=(D)(3 y^{2})$ .

Calculate the following: $36^{\frac{3}{2}}$ , $\left(\frac{1}{81}\right)^{\frac{-1}{2}}$ , $\left(\frac{1}{125}\right)^{\frac{-2}{3}}$ .

Find the derivative of $e^{x} \cos x$ .

Calculate the sum: $-82 + (-14) =$

Find the product and express it as $a + b i$ : simplify $(2 + 5 i)^{2}$ .

Find the difference and express it as $a + b i$ : $(-3 + 2 i) - (4 - 3 i)$

Solve the equation $x^{2}+8 x+17=0$ and express solutions as $a+b i$ .

Find the displacement of a mass on a spring from $t=0$ to $t=\pi$ given $v(t)=6 \sin(t)-6 \cos(t)$ . Evaluate $\int_{0}^{\pi}(6 \sin(t)-6 \cos(t)) dt$ .

Calculate $-12 + (-12)$ .

Solve for real values of $x$ in the equation $(x+9)^{2}-7(x+9)-18=0$ .

Solve for $x$ given $y=87.5$ in the equation $300 x+\frac{500}{7} y=10000$ .

Calculate the work done by the force $F(x)=x^{-1}+4x$ from $x=3$ to $x=5$ : $W=\int_{3}^{5}(x^{-1}+4x)dx$

Find the distance a wave travels from $t=1$ to $t=4$ given $v=\sqrt{\frac{8}{x}}$ . Evaluate the integral $\int_{1}^{4} \sqrt{\frac{8}{x}} d x$ .

Solve for all real values of $y$ in the equation $y^{5}-18 y^{4}+6 y^{3}=0$ .

A car's velocity is given by $v(t)=2 t^{1/2}+5$ . Find the displacement (in m) from $t=2$ to $t=8$ .

Solve for $x$ in the equation $\sqrt{6x - 1} = 3$ . What are the real solutions?

Calculate moles of ethanol needed for 0.085 mol of acetic acid from the reaction: $\mathrm{C_2H_5OH} + \mathrm{O_2} \rightarrow \mathrm{H_2O} + \mathrm{CH_3COOH}$ .

Calculate the moles of oxygen from the reaction of 0.800 mol of ammonium perchlorate $\left(\mathrm{NH}_{4} \mathrm{ClO}_{4}\right)$ .

Find the displacement and total distance traveled by a particle with velocity $v(t)=4-2t$ from $t=0$ to $t=6$ .

Find all real solutions for the equation: $y^{5}-16 y^{4}+52 y^{3}=0$ . What are the values of $y$ ?

A stone is thrown from a $120 \mathrm{ft}$ cliff at $148 \mathrm{ft/s}$ . Find: (a) time to highest point, (b) max height, (c) time to beach, (d) impact velocity.

Calculate the moles of oxygen needed for 1.8 mol of carbon dioxide from burning octane $\left(\mathrm{C}_{8} \mathrm{H}_{18}\right)$ .

Find the derivative of $f(x)=4 \cos 2 x+\log x+x$ .

Calculate the value of $10^{2} \cdot 10^{3}$ . Options: 100,000, 10, 1,100, $10^{5}$ .

Find the position of a particle at time $t=7$ given $a(t)=18t+2$ , $s(0)=16$ , and $v(0)=7$ .

A particle has acceleration $a(t)=t-5/2$ m/s² for $0 \leq t \leq 9$ . Find $v(t)$ , $d(t)$ , and total distance traveled.