Browse Math problems Studdy Solved!

Problem 52101

The weight of 6 eggs is shown. Identify the constant of proportionality of total weight to number of eggs.
The weight of 6 eggs is 258 g .
The constant of proportionality is $\square$ grams per egg.

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Problem 52102

Write in factored form. a) $f(x)=x^{2}-7 x-18$ c) $h(x)=4 x^{2}-25$ b) $g(x)=-2 x^{2}+17 x-8$ d) $y=6 x^{2}+13 x-5$

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Problem 52103

$\begin{array}{l}f(x)=\frac{x+7}{x-8} \\ f(3)=\end{array}$

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Problem 52104

8. Determine the vertex of each quadratic function, and state the domain and range of each. a) $y=x^{2}+6 x+5$ c) $g(x)=-6 x^{2}-7 x+3$ b) $f(x)=2 x^{2}-5 x-12$ d) $h(x)=-3 x^{2}+9 x+30$

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Problem 52105

The following table represents an exponential function. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 4 \\ \hline 1 & 2 \\ \hline 2 & 1 \\ \hline 3 & $\frac{1}{2}$ \\ \hline 4 & $\frac{1}{4}$ \\ \hline \end{tabular}
The exponential function represented by the table can be written in the form $y=a b^{x}$ . Find the values for $a$ and $b$ . $a=\square$ $b=$ $\square$

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Problem 52106

17) $9.3 \times 10^{-8}-8.3 \times 10^{-5}$ 19) $\left(2.3 \times 10^{2}\right)\left(5 \times 10^{1}\right)$ 21) $\left(2.1 \times 10^{-4}\right)\left(3.05 \times 10^{1}\right)$ 23) $\frac{6.3 \times 10^{-5}}{7 \times 10^{4}}$ 25) $\frac{8.88 \times 10^{-1}}{2 \times 10^{6}}$

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Problem 52107

possible
Use the echelon method to solve the system of two equations in two unknowns. Check your answers. $\begin{array}{l} 3 x-2 y=-3 \\ 5 x-y=2 \end{array}$
Select the correct choice below and fill in any answer boxes within your choice. A. The solution of the system is $\square$ . (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. The solution is $\square$ ,y), where $y$ is any real number. C. There is no solution.

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Problem 52108

$2 \text { or } 6$
Solve. Show your work on paper. Enter your answer in the box. $12 \times \frac{3}{8}=$ $\square$
3 of 6

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Problem 52109

3. Briefly describe how we can interpret the standard deviation of a data set. What does a low standard deviation indicate? What does a high standard deviation indicate?

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Problem 52110

We want to compute the limit below with the l'Hospital's Rule if it applies. $\lim _{x \rightarrow 0} \frac{1-e^{7 x}}{\sin (5 x)}$ a) What is the indeterminate type of the limit? $0 / 0$ $0^{0}$ + /00 $0^{\infty}$ b) According to l'Hospital's Rule, where $\begin{array}{l} \qquad \lim _{x \rightarrow 0} \frac{1-e^{7 x}}{\sin (5 x)}=\lim _{x \rightarrow 0} \frac{A(x)}{B(x)} \\ \text { where } \\ {[A(x), B(x)]=\square \text { 目 }} \end{array}$ $\square$ FORMATTING: Enter your answer as $[A(x), B(x)]$ , including the square brackets and with a comma (,) between the te strict scientific calculator notation: multiplication is written *; for example, you must write $2 x$ as $2^{\star} \boldsymbol{x}$ . c) Conclude that $\lim _{x \rightarrow 0} \frac{1-e^{7 x}}{\sin (5 x)}=\lim _{x \rightarrow 0} \frac{A(x)}{B(x)}=$ $\square$ FORMATTING: Give the exact answer.

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Problem 52111

Let $\mathbf{x}(t)$ be the solution of the following initial value problem. What is $\mathbf{x}(\pi / 2)$ ? $\dot{\mathbf{x}}=\left[\begin{array}{rr} 5 & -10 \\ 1 & -1 \end{array}\right] \mathbf{x}, \quad \mathbf{x}(0)=\left[\begin{array}{l} 1 \\ 1 \end{array}\right]$

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Problem 52112

Question Watch Video Show Ex
The expression $\frac{\sec ^{2} x-\tan ^{2} x}{1-\cos ^{2} x}$ is equivalent to

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Problem 52113

at?
C (2.2.34), (2.2.29) b. $(-3,-3),(-3,3)$ F. $(2,-4),(2, *)$

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Problem 52114

1.1: Reasonable Estimates
1. Which estimate for the product $18 \times 149$ is most reasonable? Explain or show your reasoning. A. 2,000 B. 4,000 C. 3,000 D. 1,500

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Problem 52115

2. (16 points) Let $\mathbf{x}(t)$ be the solution of the following initial value problem. What is $\mathbf{x}(\pi / 2)$ ? $\dot{\mathbf{x}}=\left[\begin{array}{rr} 5 & -10 \\ 1 & -1 \end{array}\right] \mathbf{x}, \quad \mathbf{x}(0)=\left[\begin{array}{l} 1 \\ 1 \end{array}\right]$ (A) $\left[\begin{array}{l}-7 e^{\pi} \\ -2 e^{\pi}\end{array}\right]$ . B) $\left[\begin{array}{c}13 e^{\pi} \\ 4 e^{\pi}\end{array}\right]$ . C) $\left[\begin{array}{l}-13 e^{\pi} \\ -4 e^{\pi}\end{array}\right]$ . D) $\left[\begin{array}{l}7 e^{\pi} \\ 2 e^{\pi}\end{array}\right]$ . E) $\left[\begin{array}{c}3 e^{\pi} \\ e^{\pi}\end{array}\right]$ . F) $\left[\begin{array}{c}-3 e^{\pi} \\ -e^{\pi}\end{array}\right]$ .

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Problem 52116

Consider the following system of equations. $\begin{array}{l} 2 x+3 y=22 \\ 3 x+5 y=35 \end{array}$ (a) Write a matrix equation that is equivalent to the system of linear equat $\left[\begin{array}{ll} 2 & 3 \\ 3 & 5 \end{array}\right]\left[\begin{array}{l} x \\ y \end{array}\right]=\left[\begin{array}{l} 22 \\ 35 \end{array}\right]$ (b) Solve the system using the inverse of the coefficient matrix. $(x, y)=(\square)$ Need Help? Read It Watch it

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Problem 52117

Show that the function $f(x)=x^{4}+5 x+1$ has exactly one zero in the interval $[-1,0]$
Which theorem can be used to determine whether a function $f(x)$ has any zeros in a given interval A. Intermediate value theorem B. Mean value theorem C. Extreme value theorem D. Rolle's Theorem
To apply this theorem, evaluate the function $f(x)=x^{4}+5 x+1$ at each endpoint of the interval $[-1$ $f(-1)=-3$ (Simplify your answer.) $\mathrm{f}(0)=1$ (Simplify your answer.) According to the intermediate value theorem, $f(x)=x^{4}+5 x+1$ has at least one zero in the give Now, determine whether there can be more than one zero in the given interval. Rolle's Theorem states that for a function $\mathrm{f}(\mathrm{x})$ that is continuous at every point over the closed in $(a, b)$ at which $f^{\prime}(c)=0$ . Find the derivative of $f(x)=x^{4}+5 x+1$ $f^{\prime}(x)=\square$

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Problem 52118

$\int_{2}^{\infty} \frac{9}{(1-3 z)^{4}} d z$

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Problem 52119

18. $\begin{array}{l} 2 x-y=0 \\ 3 x-2 y=-3 \end{array}$

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Problem 52120

$\int 7 x e^{4 x} d x=$ $\square$ $+C$

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Problem 52121

which of the fallowing Pairs has GCf of 1 ? (A) $\begin{array}{l} 8 \text { and } 12 \\ 9 \text { and } 28 \\ 10 \text { and } 15 \\ 14 \text { and } 21 \end{array}$

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Problem 52122

Solve for $d$ in the proportion. $\frac{5}{9.5}=\frac{d}{7.6}$ $d=$ $\square$
Submit

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Problem 52123

$\frac{8 s^{4} t^{-2}}{2 s^{3} t^{3}} \cdot \frac{3 s^{2} t^{7}}{2 s^{-1}}$

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Problem 52124

The function $f(x)=6 x-2$ is one-to-one. (a) Find the inverse of $f$ and check the answer. (b) Find the domain and the range of $f$ and $f^{-1}$ . (c) Graph $f, f^{-1}$ , and $y=x$ on the same coordinate axes. (a) $f^{-1}(x)=$ $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression.)

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Problem 52125

week streak Level 2
Amos decides to use a password manager to store their passwords, and is currently coming up with a master password.
Which of these is the strongest master password? Choose 1 answer:
A "M@sterp@sswOrd!" (B) "aiwwdts1d\&dd,Icub\&m2md", an initialism based on song lyrics ("As I was walking down the street one dark and dreary day, I came upon a billboard and much to my dismay..") (C) "3141592653589793", the first 16 digits of PI.
D "1943_spruce_ave", which is based on their address.

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Problem 52126

For $x \in[-12,14]$ the function $f$ is defined by $f(x)=x^{7}(x+6)^{2}$
On which two intervals is the function increasing (enter intervals in ascending order)? $\square$ $\square$ an ${ }^{2}$ $\square$ to $\square$ Find the region in which the function is positive: $\square$ to $\square$ Where does the function achieve its minimum? $\square$

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Problem 52127

4. A box weighing 450 N is hanging from two chains attached to an overhead beam at angles $1: 37$ of $70^{\circ}$ and $78^{\circ}$ to the horizontal. a) Draw a vector diagram of this situation. b) Determine the tensions in the chains.

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Problem 52128

15. The surface area for a rectangular prism with a square base is given by the expression $2 s^{2}+4 s h$ , where $s$ is the side length of the square base and $h$ is the height of the prism. What is the surface area in square feet of a rectangular prism when $s=4$ feet and $h=6$ feet?

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Problem 52129

a. compute the area under the curve b. rotate the region about the indicated axis and compute the volume of the solid obtained in this way $5 y=3 x+2, y=0, x=0, x=2$ about the $x$ -axis

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Problem 52130

Solve for $x$ . $15^{x-4}=17^{-7 x}$
Write the exact answer using either base-10 or base-e logarithms. $x=$ $\square$ $\square \log$
In
No solution

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Problem 52131

Which expression is equivalent to $\sqrt{\frac{2 x^{5}}{18}} ?$ Assume $x \geq 0$ . $\frac{x^{2} \sqrt{x}}{3}$ $\frac{3 \sqrt{x}}{x^{2}}$ $\frac{\sqrt{x}}{3 x^{2}}$ $\frac{2 x \sqrt{x}}{3}$

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Problem 52132

Deux repères $A$ et $B$ sont inaccessibles. Calculer la distance $A$ et $B$ entre ces deux points à partir des relevés suivants. Vos calculs doivent être faits au mètre près. $\begin{aligned} \mathrm{m} \overline{P P}^{\prime} & =450 \mathrm{~m} \\ \mathrm{~m} \angle A P^{\prime} P & =69^{\circ} \\ \mathrm{m} \angle A P P^{\prime} & =96^{\circ} \\ \mathrm{m} \angle B P P^{\prime} & =66^{\circ} \\ \mathrm{m} \angle B P^{\prime} P^{\prime} & =103^{\circ} \end{aligned}$

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Problem 52133

Factor out the greatest common factor from the expression $8b^2 - 4b + 20$ .

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Problem 52134

Scenario 3: A new wrecking ball company decided to go with a cube design for their "ball". The company drops the $166,770 \mathrm{~N}$ cube directly onto buildings which produces a pressure of $1,000,000 \mathrm{~Pa}$ .
How long are the sides, assuming it is a perfect square?

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Problem 52135

Question 2
Given that the graph of $f(x)$ passes through the point $(8,7)$ and that the slope of its tangent line at $(x, f(x))$ is $3 x+7$ , what is $f(4)$ ? $\square$ Next Question

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Problem 52136

Solve the inequality. $-2 n<30$ (A) $n>-15$ (B) $n<-15$ (C) $n<15$ (D) $n>15$

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Problem 52137

2 Solve the following inequality. $9 \mathrm{x}-2>43$
Here, x >

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Problem 52138

Evaluate the following expressions. (a) $\log _{2}\left(\frac{1}{32}\right)=$ $\square$ (b) $\log _{9} 1=$ $\square$ (c) $\log _{4} \sqrt{256}=$ $\square$ (d) $5^{\log _{5} 9}=$ $\square$

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Problem 52139

17 Make $f$ the subject of the formula $d=\frac{3(1-f)}{f-4}$

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Problem 52140

Tina went to the hardware store to buy a door knob and a towel bar, and while she was in the checkout line, she also threw some nails and some tape into her shopping cart. Which two products were impulse purchases? A. The nails and towel bar B. The nails and tape C. The door knob and tape D. The door knob and towel bar

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Problem 52141

Determine the probability distribution's missing value. The probability that a tutbr will see $0,1,2,3$ , or 4 students \begin{tabular}{r|r|r|r|r|r} $x$ & 0 & 1 & 2 & 3 & 4 \\ \hline $P(x)$ & $\frac{1}{22}$ & $\frac{1}{11}$ & $\frac{1}{22}$ & $?$ & $\frac{1}{22}$ \end{tabular} A. $-\frac{5}{11}$ B. $\frac{17}{22}$ C. $\frac{1}{22}$ D. $\frac{9}{11}$

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Problem 52142

Find an equation for the graph sketched below

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Problem 52143

Solve $\frac{x}{25}-\frac{4}{5}=-\frac{4}{5}$

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Problem 52144

Solve the following inequality and plot the answer on the number line shown below. $3+2 n>9$ $\square$ $C$ REDO RESET REMOVE

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Problem 52145

Solve the equation given. Enter the solutions separated by a comma. $4 m^{2}-3 m-3=0$
Entry Tip: to type $\frac{4+\sqrt{7}}{3}$ Type "( $4+$ sqrt( 7 ) )/3" be careful with parenthesis and use the preview button. $\square$ Submit Question

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Problem 52146

A landscaper is building a garden in the shape of a trapezoid. What is the area of the garden? CLEAR CHECK $\square$ $\mathrm{ft}^{2}$

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Problem 52147

$2 g=20$

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Problem 52148

4. Résous las ćrulutions trigonométriques ci-dessous dans l'intervalle $0^{\circ} \leq \theta \leq 360^{\circ}$ a) $2 \sin \theta=-\sqrt{3}$ b) $\cos \theta=-\frac{1}{2}$

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Problem 52149

9 Which number line shows the solution to the inequality $-3 x-5<-2$ ? (A) $\underset{-3}{1} \begin{array}{cccccccc}1 & -1 & 0 & 1 & 2 & 3\end{array}$ (B) $\left.\begin{array}{llllllll} & 1 & 1 & 1 & 1 & 1\end{array}\right]$ (c) $\left.\begin{array}{rrrrrrrr}1 & 1 & 0 & 1 & 1\end{array}\right]$ (D) $\begin{array}{llllllll}-3 & -2 & -1 & 0 & 1 & 2 & 3\end{array}$

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Problem 52150

What is the volume of a sphere with a radius of 6.1 m -rounded to the nearest tenth of a cubic meter?

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Problem 52151

(i) Details 31 36. Submit answer
Practice similar
Evaluate the indefinite integral: $\int 6 e^{3 x-6}$ $\square$ $+C$
Submit answer Next item

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Problem 52152

If $\mathbf{a}=(-1,7,1)$ and $\mathbf{b}=(7,-4,2)$ , find $\mathbf{a} \cdot \mathbf{b}=$

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Problem 52153

Percent Change - Item 35084
A soap manufacturer decreases the size of its trial-size bottle of dishwashing soap to 4.5 ounces, which is $10 \%$ less than the original size.
What is the original size of the bottle? GEAR $\square$ ounces

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Problem 52154

$\begin{aligned}-\left(\frac{5}{4}\right)^{2} & =\square \\ \frac{4^{3}}{3} & =\square\end{aligned}$

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Problem 52155

CONFIDENTIAL DEC2024/ECO545
PART B (30 MARKS) QUESTION 1 Farah Ahmad is studying the relationship between students' final exam scores $Y_{i}$ (measured in GPA) and their hours spent studying per week $X_{i}$ (measured in hours). The population regression equation is given by: $Y i=\beta_{0}+\beta_{1} X_{i}+\mu$
Preliminary analysis of the sample data produces the following statistics: $\begin{array}{l} \sum Y=48095 \quad \sum X=95050 \quad \sum Y^{2}=406538 \quad \sum e=5807 \\ \quad \sum X^{2}=354446 \quad \sum X Y=1554698 \quad n=1200 \end{array}$
Use the above information to answer the following questions. a) Estimate the regression slope and intercept (6 marks) b) Write the estimated regression equation (1 mark) c) Interpret the estimated slope coefficient. (2 marks) d) Compute the coefficient determination and interpret it. (4 marks) e) Predict the exam score if the student spends 5 hours per week of studying. (2 marks)

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Problem 52156

A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of 95 residents and found the mean weight to be 182 pounds with a standard deviation of 22 pounds. At the $95 \%$ confidence level, use the normal distribution/empirical rule to estimate the margin of error for the mean, rounding to the nearest tenth. (Do not write $\pm$ ).

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Problem 52157

Find the percentile that corresponds to a specific data value x by using the following formula. $\text { Percentile of } x=\frac{\text { number of data values less than } x}{\text { total number of data values }} \cdot 100$
The cholesterol levels (in milligrams per deciliter) of 30 adults are listed below. Find the percentile that corresponds to cholesterol level of 198. \begin{tabular}{llllllllll} 154 & 156 & 165 & 165 & 170 & 171 & 172 & 180 & 184 & 185 \\ 189 & 189 & 190 & 192 & 195 & 198 & 198 & 200 & 200 & 200 \\ 205 & 205 & 211 & 215 & 220 & 220 & 225 & 238 & 255 & 265 \end{tabular} A. 50 B. 12 C. 33 D. 58

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Problem 52158

Let $g(x, y)=\sqrt{-x^{2}-y^{2}+9}$ . Graph the boundary of the domain of $g$ below and indicate whether the domain of $g$ is inside or outside of the boundary. Clear All Draw:

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Problem 52159

A window has the shape of a rectangle with a semicircle at the top. Find the approximate area of the window using the dimensions shown. CleAR CHECK about 9.57 square feet
about 11.14 square feet
about 14.28 square feet
about 20.56 square feet

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Problem 52160

A study was commissioned to find the mean weight of the residents in certain town. The study examined a random sample of 86 residents and found the mean weight to be 182 pounds with a standard deviation of 28 pounds. Use the normal distribution/empirical rule to estimate a $95 \%$ confidence interval for the mean, rounding all values to the nearest tenth.

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Problem 52161

8. $-3 y-2 x<12 ;(5,-6)$

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Problem 52162

Use the compound interest formulas $A=P\left(1+\frac{r}{n}\right)^{\mathrm{nt}}$ and $\mathrm{A}=\mathrm{P} e^{\mathrm{rt}}$ to solve the problem given. Round answers to the nearest cent. Find the accumulated value of an investment of $\$ 15,000$ for 7 years at an interest rate of $7 \%$ if the money is a. compounded semiannually; $\mathbf{b}$ . compounded quarterly; $\mathbf{c}$ . compounded monthly; d. compounded continuously. a. What is the accumulated value if the money is compounded semiannually? \\square $(Round your answer to the nearest cent. Do not include the$ \$$ symbol in your answer.)

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Problem 52163

Use the Law of Sines to find the length of each side of the parallelogram. Round to the nearest tenth. a. $A B \approx$ $\qquad$ cm b. $A D \approx$ $\qquad$ cm c. $D C \approx$ $\qquad$ cm d. $B C \approx$ $\square$ type your answercm olu

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Problem 52164

Below is the graph of $y=e^{x}$ . Transform it to make the graph of $y=e^{-x}+3$ . Give the range and domain of $y=e^{-x}+3$ using interval notation.

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Problem 52165

24. Find the value of the determinant. $\left|\begin{array}{cc} 3 & -4 \\ 6 & 2 \end{array}\right|$

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Problem 52166

The function $N(t)=\frac{30,000}{1+20 e^{-2.5 t}}$ describes the number of people, $N(t)$ , who become ill with a virus $t$ weeks after its initial outbreak in a town with 30,000 inhabitants. The horizontal asymptote in the graph indicates that there is a limit to the epidemic's growth. Complete parts (a) through (c) below. a. How many people became ill with the virus when the epidemic began? (When the epidemic began, $t=0$ .)
When the epidemic began, approximately $\square$ people were ill with the virus. (Round to the nearest person as needed.)

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Problem 52167

Your car's back window is in the shape of a trapezoid with the dimensions shown. The 16 -inch window wiper cleans a part of the window in a semicircular pattern.
What is the approximate area of the window that is not cleaned by the wiper? CLEAR CHECK about 64 square inches about 338 square inches
about 402 square inches about 740 square inches

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Problem 52168

What is the area of the shaded part of the figure if $x=8 \mathrm{ft}$ ? Use 3.14 to approximate $\pi$ .
Area of a quarter circle $=\frac{1}{4} \pi x^{2}$ CLEAR CHECK $\square$ $\mathrm{ft}^{2}$

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Problem 52169

Solve the system by substitution. Check the answer(s). $\left\{\begin{array}{l} y=x^{2}+8 x+8 \\ y=x+8 \end{array}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution(s) is/are $\square$ . (Type an ordered pair. Use a comma to separate answers as needed.) B. There is no solution.

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Problem 52170

Find an equation for the line tangent to the curve at the point defined by the given value of $t$ . Also, find the value of $\frac{d^{2} y}{d x^{2}}$ at this point. $x=\sec t, y=\cos t ; t=\frac{\pi}{3}$
Write the equation of the tangent line. $\mathrm{y}=\square \mathrm{x}+\square$ (Type exact answers, using radicals as needed.)

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Problem 52171

$15,19,23,27, \ldots$
Write an explicit formula for the $n^{\text {th }}$ term $a_{n}$ $a_{n}=$

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Problem 52172

Sketch the level curves of the function $h(x, y)=\sqrt{x^{2}+y^{2}}$ corresponding to $c=1, c=3$ , and $c=5$ .

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Problem 52173

What is the volume of this square pyramid? Round to nearest hundredth.

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Problem 52174

```latex \begin{array}{r} \square 7 \\ +378 \\ +\quad 147 \\ \hline \end{array} ```

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Problem 52175

1. If $J$ is the centroid of $\triangle C D E, D E=52, F C=15$ , and $H E=14$ , find each measure. $\begin{aligned} D G & =26 \\ G E & =26 \\ D F & =17.33 \\ C H & =5 \\ C E & =4.67 \end{aligned}$ Show Your Work

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Problem 52176

The future value of $\$ 200$ received today and deposited at 8 percent for three years is approximately $\qquad$ A. $\$ 159$ B. $\$ 252$ C. $\$ 253$ D. $\$ 248$

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Problem 52177

2. Given the function $f(x)=2 x+4$ , apply the following transformations (in the given order) and write an equation for the final transformed graph: shrink the graph vertically by a factor of $\frac{1}{2}$ , shift upward 3 units, and reflect the graph in the $y$ -axis.

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Problem 52178

قدم حسن اقراره الضريبي عن سنة 2014 بمجهوع ايراد 200000 شيكل موزعين 160000 شيكل من وظية في في شركة خاصة و 40000 شيكل من تأتبير عقار يملكا تقطع الشركة من راتبه ضريبة شهرية ما قيتيا 200 شيكل. بالاضسافة أن المكلف دفع ضريبة أمالاك 8140 شيكل. ما قيشة الذخل الخاضى اللضريبة لعام 2014
Select one: a. شينل 200,000 b. 191,860 شيكل c. شيكل 160,000 d. 40,000 شيكل

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Problem 52179

Score: 8/17 Answered: 8/17
Question 9
You measure 22 dogs' weights, and find they have a mean weight of 54 ounces. Assume the population standard deviation is 14.2 ounces. Based on this, construct a $99 \%$ confidence interval for the true population mean dog weight.
Round your answers to two decimal places. $<\mu<$ $\square$ Submit Question

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Problem 52180

Graph this line using the slope and $y$ -intercept: $y=\frac{1}{2} x+1$
Click to select points on the graph.

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Problem 52181

drive.google.com/file/d/1NItBA7FdosoLPGoNOfhM1449EIIV3Dal/view

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Problem 52182

Graph this line using the slope and $y$ -intercept: $y=-\frac{5}{7} x+6$
Click to select points on the graph.

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Problem 52183

21 Mark for Review
In the $x y$ -plane, line $/$ passes through the point $(0,0)$ and is parallel to the line represented by the equation $y=8 x+2$ . If line $/$ also passes through the point $(3, d)$ , what is the value of $d$ ? $\square$

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Problem 52184

Graph this line using the slope and $y$ -intercept: $y=-3 x+6$
Click to select points on the graph.

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Problem 52185

Solving a System of Linear Equations
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let $x$ represent the number of domestic stamps and let $y$ represent the number of foreign stamps. This system of equations models the given information for both stamp types. $\begin{array}{l} x-y=34 \\ x+y=212 \end{array}$
Solve the system of equations. How many foreign stamps does Malik have? $\square$ foreign stamps
How many domestic stamps does Malik have? $\square$ domestic stamps

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Problem 52186

The key inputs for preparing pro forma income statements using the percent - of-sales method are the $\qquad$ A. sales forecast for the coming year and the cash budget for the preceding year B. sales forecast for the coming year and financial statements for the preceding year C. cash budget for the coming year and sales forecast for the preceding year D. sales forecast for the preceding year and financial statements for the coming year

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Problem 52187

\#4-Percent Error and Analysis a.) In 1990, there was a projection (prediction) that the population would be 270,000,000 people by the year 2000 . The actucl population in the year 2000 was $282,200,000$ . Calculate the percent error in the prediction from 1990. Show your work for full credit!

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Problem 52188

For each of the improper integrals below, if the comparison test applies, enter either $A$ or $B$ followed by one letter from $C$ to $G$ that best applies, and if the comparison test does not apply, enter only G.
For example, one possible answer is AF, and another possible answer is G. Hint: $0<e^{-x} \leq 1$ for $x \geq 1$ . (i) 1. $\int_{1}^{\infty} \frac{5+\sin (x)}{\sqrt{x}} d x$ (1) 2. $\int_{1}^{\infty} \frac{\cos ^{2}(x)}{x^{2}+2} d x$ (i) $3 . \int_{1}^{\infty} \frac{1}{x^{3}+2} d x$ (i) 4. $\int_{1}^{\infty} \frac{e^{-x}}{x^{2}} d x$ A. The integral is convergent B. The integral is divergent C. by comparison to $\int_{1}^{\infty} \frac{1}{\sqrt{x}} d x$ . D. by comparison to $\int_{z_{\infty}}^{\infty} \frac{1}{x^{5 / 2}} d x$ . E. by comparison to $\int_{1_{\infty}^{\infty}}^{\infty} \frac{1}{x^{2}} d x$ . F. by comparison to $\int_{1}^{\infty} \frac{1}{x^{3}} d x$ . G. The comparison test does not apply.

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Problem 52189

List out all possible numerators of the rational roots of the function $g(x)=-7 x^{5}-5 x^{4}+3 x^{3}+x^{2}-4 x-3$ . Use commas to separate. $\square$ Next

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Problem 52190

A set of 3 elements has 8 subsets, including $\varnothing$ . Find a formula for the number of subsets of a set with $n$ elements.

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Problem 52191

What is the class width if the minimum is 20, the range is 106, and there are 8 classes?

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Problem 52192

How many ways can you choose 2 different instructors from 6 for your statistics classes?

See Solution

Problem 52193

Calculate the sum of 838.0 and 542.7. What is the result?

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Problem 52194

Factor the expression $4x^{2}+16$ .

See Solution

Problem 52195

You have \ $351 saved and save \$26 monthly. Write an equation for savings: use$ m $for months and$ s$ for savings.

See Solution

Problem 52196

Find the limit as $h$ approaches 0 for $\frac{\frac{5}{-3+h}+\frac{5}{3}}{h}$ .

See Solution

Problem 52197

How many ways can players choose 5 unique symbols from 9 total symbols for a password? Answer in simplest form: $\binom{9}{5}$ .

See Solution

Problem 52198

How many ways can you choose 2 different instructors from 6 for your statistics classes? Use the formula for combinations: $\binom{6}{2}$ .

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Problem 52199

Identify the equality property shown: If $AM = MB$ , then $AM + 5 = MB + 5$ .

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Problem 52200

Identify the equality property shown: if $x=y$ , then $3x=3y$ .

See Solution

Math

Problem 52101

The weight of 6 eggs is shown. Identify the constant of proportionality of total weight to number of eggs.The weight of 6 eggs is 258 g .The constant of proportionality is □\square□ grams per egg.

Problem 52102

Write in factored form. a) f(x)=x2−7x−18f(x)=x^{2}-7 x-18f(x)=x2−7x−18 c) h(x)=4x2−25h(x)=4 x^{2}-25h(x)=4x2−25 b) g(x)=−2x2+17x−8g(x)=-2 x^{2}+17 x-8g(x)=−2x2+17x−8 d) y=6x2+13x−5y=6 x^{2}+13 x-5y=6x2+13x−5

Problem 52103

f(x)=x+7x−8f(3)=\begin{array}{l}f(x)=\frac{x+7}{x-8} \\ f(3)=\end{array}f(x)=x−8x+7​f(3)=​

Problem 52104

Problem 52105

Problem 52106

Problem 52107

Problem 52108

2 or 62 \text { or } 62 or 6Solve. Show your work on paper. Enter your answer in the box. 12×38=12 \times \frac{3}{8}=12×83​= □\square□3 of 6

Problem 52109

3. Briefly describe how we can interpret the standard deviation of a data set. What does a low standard deviation indicate? What does a high standard deviation indicate?

Problem 52110

Problem 52111

Problem 52112

Question Watch Video Show ExThe expression sec⁡2x−tan⁡2x1−cos⁡2x\frac{\sec ^{2} x-\tan ^{2} x}{1-\cos ^{2} x}1−cos2xsec2x−tan2x​ is equivalent to

Problem 52113

at?C (2.2.34), (2.2.29) b. (−3,−3),(−3,3)(-3,-3),(-3,3)(−3,−3),(−3,3) F. (2,−4),(2,∗)(2,-4),(2, *)(2,−4),(2,∗)

Problem 52114

1.1: Reasonable Estimates1. Which estimate for the product 18×14918 \times 14918×149 is most reasonable? Explain or show your reasoning. A. 2,000 B. 4,000 C. 3,000 D. 1,500

Problem 52115

Problem 52116

Problem 52117

Problem 52118

∫2∞9(1−3z)4dz\int_{2}^{\infty} \frac{9}{(1-3 z)^{4}} d z∫2∞​(1−3z)49​dz

Problem 52119

18. 2x−y=03x−2y=−3\begin{array}{l} 2 x-y=0 \\ 3 x-2 y=-3 \end{array}2x−y=03x−2y=−3​

Problem 52120

∫7xe4xdx=\int 7 x e^{4 x} d x=∫7xe4xdx= □\square□ +C+C+C

Problem 52121

which of the fallowing Pairs has GCf of 1 ? (A) 8 and 129 and 2810 and 1514 and 21\begin{array}{l} 8 \text { and } 12 \\ 9 \text { and } 28 \\ 10 \text { and } 15 \\ 14 \text { and } 21 \end{array}8 and 129 and 2810 and 1514 and 21​

Problem 52122

Solve for ddd in the proportion. 59.5=d7.6\frac{5}{9.5}=\frac{d}{7.6}9.55​=7.6d​ d=d=d= □\square□Submit

Problem 52123

8s4t−22s3t3⋅3s2t72s−1\frac{8 s^{4} t^{-2}}{2 s^{3} t^{3}} \cdot \frac{3 s^{2} t^{7}}{2 s^{-1}}2s3t38s4t−2​⋅2s−13s2t7​

Problem 52124

Problem 52125

Problem 52126

Problem 52127

4. A box weighing 450 N is hanging from two chains attached to an overhead beam at angles 1:371: 371:37 of 70∘70^{\circ}70∘ and 78∘78^{\circ}78∘ to the horizontal. a) Draw a vector diagram of this situation. b) Determine the tensions in the chains.

Problem 52128

Problem 52129

a. compute the area under the curve b. rotate the region about the indicated axis and compute the volume of the solid obtained in this way 5y=3x+2,y=0,x=0,x=25 y=3 x+2, y=0, x=0, x=25y=3x+2,y=0,x=0,x=2 about the xxx-axis

Problem 52130

Solve for xxx. 15x−4=17−7x15^{x-4}=17^{-7 x}15x−4=17−7xWrite the exact answer using either base-10 or base-e logarithms. x=x=x= □\square□ □log⁡\square \log□log InNo solution

Problem 52131

Which expression is equivalent to 2x518?\sqrt{\frac{2 x^{5}}{18}} ?182x5​​? Assume x≥0x \geq 0x≥0. x2x3\frac{x^{2} \sqrt{x}}{3}3x2x​​ 3xx2\frac{3 \sqrt{x}}{x^{2}}x23x​​ x3x2\frac{\sqrt{x}}{3 x^{2}}3x2x​​ 2xx3\frac{2 x \sqrt{x}}{3}32xx​​

Problem 52132

Problem 52133

Factor out the greatest common factor from the expression 8b2−4b+208b^2 - 4b + 208b2−4b+20.

Problem 52134

Problem 52135

Question 2Given that the graph of f(x)f(x)f(x) passes through the point (8,7)(8,7)(8,7) and that the slope of its tangent line at (x,f(x))(x, f(x))(x,f(x)) is 3x+73 x+73x+7, what is f(4)f(4)f(4) ? □\square□ Next Question

Problem 52136

Solve the inequality. −2n<30-2 n<30−2n<30 (A) n>−15n>-15n>−15 (B) n<−15n<-15n<−15 (C) n<15n<15n<15 (D) n>15n>15n>15

Problem 52137

2 Solve the following inequality. 9x−2>439 \mathrm{x}-2>439x−2>43Here, x >

Problem 52138

Evaluate the following expressions. (a) log⁡2(132)=\log _{2}\left(\frac{1}{32}\right)=log2​(321​)= □\square□ (b) log⁡91=\log _{9} 1=log9​1= □\square□ (c) log⁡4256=\log _{4} \sqrt{256}=log4​256​= □\square□ (d) 5log⁡59=5^{\log _{5} 9}=5log5​9= □\square□

Problem 52139

17 Make fff the subject of the formula d=3(1−f)f−4d=\frac{3(1-f)}{f-4}d=f−43(1−f)​

Problem 52140

Problem 52141

Problem 52142

Find an equation for the graph sketched below

Problem 52143

Solve x25−45=−45\frac{x}{25}-\frac{4}{5}=-\frac{4}{5}25x​−54​=−54​

Problem 52144

Solve the following inequality and plot the answer on the number line shown below. 3+2n>93+2 n>93+2n>9 □\square□ CCC REDO RESET REMOVE

Problem 52145

Solve the equation given. Enter the solutions separated by a comma. 4m2−3m−3=04 m^{2}-3 m-3=04m2−3m−3=0Entry Tip: to type 4+73\frac{4+\sqrt{7}}{3}34+7​​ Type "( 4+4+4+ sqrt( 7 ) )/3" be careful with parenthesis and use the preview button. □\square□ Submit Question

Problem 52146

A landscaper is building a garden in the shape of a trapezoid. What is the area of the garden? CLEAR CHECK □\square□ ft2\mathrm{ft}^{2}ft2

Problem 52147

2g=202 g=202g=20

Problem 52148

4. Résous las ćrulutions trigonométriques ci-dessous dans l'intervalle 0∘≤θ≤360∘0^{\circ} \leq \theta \leq 360^{\circ}0∘≤θ≤360∘ a) 2sin⁡θ=−32 \sin \theta=-\sqrt{3}2sinθ=−3​ b) cos⁡θ=−12\cos \theta=-\frac{1}{2}cosθ=−21​

The weight of 6 eggs is shown. Identify the constant of proportionality of total weight to number of eggs.
The weight of 6 eggs is 258 g .
The constant of proportionality is $\square$ grams per egg.

Write in factored form. a) $f(x)=x^{2}-7 x-18$ c) $h(x)=4 x^{2}-25$ b) $g(x)=-2 x^{2}+17 x-8$ d) $y=6 x^{2}+13 x-5$

$\begin{array}{l}f(x)=\frac{x+7}{x-8} \\ f(3)=\end{array}$

$2 \text { or } 6$
Solve. Show your work on paper. Enter your answer in the box. $12 \times \frac{3}{8}=$ $\square$
3 of 6

Question Watch Video Show Ex
The expression $\frac{\sec ^{2} x-\tan ^{2} x}{1-\cos ^{2} x}$ is equivalent to

at?
C (2.2.34), (2.2.29) b. $(-3,-3),(-3,3)$ F. $(2,-4),(2, *)$

1.1: Reasonable Estimates
1. Which estimate for the product $18 \times 149$ is most reasonable? Explain or show your reasoning. A. 2,000 B. 4,000 C. 3,000 D. 1,500

$\int_{2}^{\infty} \frac{9}{(1-3 z)^{4}} d z$

18. $\begin{array}{l} 2 x-y=0 \\ 3 x-2 y=-3 \end{array}$

$\int 7 x e^{4 x} d x=$ $\square$ $+C$

which of the fallowing Pairs has GCf of 1 ? (A) $\begin{array}{l} 8 \text { and } 12 \\ 9 \text { and } 28 \\ 10 \text { and } 15 \\ 14 \text { and } 21 \end{array}$

Solve for $d$ in the proportion. $\frac{5}{9.5}=\frac{d}{7.6}$ $d=$ $\square$
Submit

$\frac{8 s^{4} t^{-2}}{2 s^{3} t^{3}} \cdot \frac{3 s^{2} t^{7}}{2 s^{-1}}$

4. A box weighing 450 N is hanging from two chains attached to an overhead beam at angles $1: 37$ of $70^{\circ}$ and $78^{\circ}$ to the horizontal. a) Draw a vector diagram of this situation. b) Determine the tensions in the chains.

a. compute the area under the curve b. rotate the region about the indicated axis and compute the volume of the solid obtained in this way $5 y=3 x+2, y=0, x=0, x=2$ about the $x$ -axis

Solve for $x$ . $15^{x-4}=17^{-7 x}$
Write the exact answer using either base-10 or base-e logarithms. $x=$ $\square$ $\square \log$
In
No solution

Which expression is equivalent to $\sqrt{\frac{2 x^{5}}{18}} ?$ Assume $x \geq 0$ . $\frac{x^{2} \sqrt{x}}{3}$ $\frac{3 \sqrt{x}}{x^{2}}$ $\frac{\sqrt{x}}{3 x^{2}}$ $\frac{2 x \sqrt{x}}{3}$

Factor out the greatest common factor from the expression $8b^2 - 4b + 20$ .

Question 2
Given that the graph of $f(x)$ passes through the point $(8,7)$ and that the slope of its tangent line at $(x, f(x))$ is $3 x+7$ , what is $f(4)$ ? $\square$ Next Question

Solve the inequality. $-2 n<30$ (A) $n>-15$ (B) $n<-15$ (C) $n<15$ (D) $n>15$

2 Solve the following inequality. $9 \mathrm{x}-2>43$
Here, x >

Evaluate the following expressions. (a) $\log _{2}\left(\frac{1}{32}\right)=$ $\square$ (b) $\log _{9} 1=$ $\square$ (c) $\log _{4} \sqrt{256}=$ $\square$ (d) $5^{\log _{5} 9}=$ $\square$

17 Make $f$ the subject of the formula $d=\frac{3(1-f)}{f-4}$

Solve $\frac{x}{25}-\frac{4}{5}=-\frac{4}{5}$

Solve the following inequality and plot the answer on the number line shown below. $3+2 n>9$ $\square$ $C$ REDO RESET REMOVE

Solve the equation given. Enter the solutions separated by a comma. $4 m^{2}-3 m-3=0$
Entry Tip: to type $\frac{4+\sqrt{7}}{3}$ Type "( $4+$ sqrt( 7 ) )/3" be careful with parenthesis and use the preview button. $\square$ Submit Question

A landscaper is building a garden in the shape of a trapezoid. What is the area of the garden? CLEAR CHECK $\square$ $\mathrm{ft}^{2}$

$2 g=20$

4. Résous las ćrulutions trigonométriques ci-dessous dans l'intervalle $0^{\circ} \leq \theta \leq 360^{\circ}$ a) $2 \sin \theta=-\sqrt{3}$ b) $\cos \theta=-\frac{1}{2}$

(i) Details 31 36. Submit answer
Practice similar
Evaluate the indefinite integral: $\int 6 e^{3 x-6}$ $\square$ $+C$
Submit answer Next item

If $\mathbf{a}=(-1,7,1)$ and $\mathbf{b}=(7,-4,2)$ , find $\mathbf{a} \cdot \mathbf{b}=$

Percent Change - Item 35084
A soap manufacturer decreases the size of its trial-size bottle of dishwashing soap to 4.5 ounces, which is $10 \%$ less than the original size.
What is the original size of the bottle? GEAR $\square$ ounces

$\begin{aligned}-\left(\frac{5}{4}\right)^{2} & =\square \\ \frac{4^{3}}{3} & =\square\end{aligned}$

Let $g(x, y)=\sqrt{-x^{2}-y^{2}+9}$ . Graph the boundary of the domain of $g$ below and indicate whether the domain of $g$ is inside or outside of the boundary. Clear All Draw:

A window has the shape of a rectangle with a semicircle at the top. Find the approximate area of the window using the dimensions shown. CleAR CHECK about 9.57 square feet
about 11.14 square feet
about 14.28 square feet
about 20.56 square feet

8. $-3 y-2 x<12 ;(5,-6)$

Use the Law of Sines to find the length of each side of the parallelogram. Round to the nearest tenth. a. $A B \approx$ $\qquad$ cm b. $A D \approx$ $\qquad$ cm c. $D C \approx$ $\qquad$ cm d. $B C \approx$ $\square$ type your answercm olu

Below is the graph of $y=e^{x}$ . Transform it to make the graph of $y=e^{-x}+3$ . Give the range and domain of $y=e^{-x}+3$ using interval notation.

24. Find the value of the determinant. $\left|\begin{array}{cc} 3 & -4 \\ 6 & 2 \end{array}\right|$

What is the area of the shaded part of the figure if $x=8 \mathrm{ft}$ ? Use 3.14 to approximate $\pi$ .
Area of a quarter circle $=\frac{1}{4} \pi x^{2}$ CLEAR CHECK $\square$ $\mathrm{ft}^{2}$

$15,19,23,27, \ldots$
Write an explicit formula for the $n^{\text {th }}$ term $a_{n}$ $a_{n}=$

Sketch the level curves of the function $h(x, y)=\sqrt{x^{2}+y^{2}}$ corresponding to $c=1, c=3$ , and $c=5$ .