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Qameq J.

Prealgebra

4 hours ago

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Evan 6.

Prealgebra

9 hours ago

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Jennym G.

Prealgebra

20 hours ago

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Derek S.

Prealgebra

2 days, 3 hours ago

An athlete whose event is the shot put releases the shot with the same initial velocity but at different angles. The fi gure shows the parabolic paths for shots released at angles of 35° and 65°. Exercises 57–58 are based on the functions that model the parabolic paths. When the shot whose path is shown by the blue graph is released at an angle of $35^{\circ},$ its height, $f(x),$ in feet, can be modeled by $$ f(x)=-0.01 x^{2}+0.7 x+6.1 $$ where x is the shot’s horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the blue graph. a. What is the maximum height of the shot and how far from its point of release does this occur? b. What is the shot’s maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw? c. From what height was the shot released?

Lisa C.

Prealgebra

2 days, 3 hours ago

In the following exercises, solve and write your answer in mixed units. Renee attached a 6 -foot-6-inch extension cord to her computer's 3 -foot-8-inch power cord. What was the total length of the cords?

Joel R.

Prealgebra

3 days, 3 hours ago

Price Range for a Car Yolanda is shopping for a used car in a city where the sales tax is $10 \%$ and the title and license fee is 300 dollars. If the maximum that she can spend is 8000 dollars, then she should look at cars in what price range?

Nicholas W.

Prealgebra

3 days, 3 hours ago

A study of 900 working women in Texas showed that their feelings changed throughout the day. As the graph indicates, the women felt better as time passed, except for a blip (that's slang for relative maximum) at lunchtime. a. Does the graph have an inverse that is a function? Explain your answer. b. Identify two or more times of day when the average happiness level is 3. Express your answers as ordered pairs. c. Do the ordered pairs in part (b) indicate that the graph represents a one-to-one function? Explain your answer.

Cynthia S.

Prealgebra

3 days, 3 hours ago

In the following exercises, solve. One serving of cranberry juice contains 30 grams of sugar. How many kilograms of sugar are in 30 servings of cranberry juice?

Samantha F.

Prealgebra

3 days, 3 hours ago

Crista will serve 20 cups of juice at her son's party. Convert the volume to gallons.

Alex T.

Prealgebra

4 days, 2 hours ago

Write each number in scientific notation. $$ 0.875 $$

Lance H.

Prealgebra

4 days, 2 hours ago

Does every line have an infinite number of lines that are parallel to the given line? Explain.

Gregory A.

Prealgebra

4 days, 2 hours ago

Find the domain of the function $f(x)=\sqrt{2 x^{3}-50 x}$ by: a. using algebra. b. graphing the function in the radicand and determining intervals on the $x$ -axis for which the radicand is nonnegative.

Patrick G.

Prealgebra

4 days, 3 hours ago

Baseball Refer to Problem 59. Overlay a rectangular coordinate system on a major league baseball diamond so that the origin is at home plate, the positive $x$ -axis lies in the direction from home plate to first base, and the positive $y$ -axis lies in the direction from home plate to third base. (a) What are the coordinates of first base, second base, and third base? Use feet as the unit of measurement. (b) If the right fielder is located at $(310,15),$ how far is it from the right fielder to second base? (c) If the center fielder is located at $(300,300),$ how far is it from the center fielder to third base?

Patrick R.

Prealgebra

4 days, 3 hours ago

The rectangular swimming pool in the figure shown measures 40 feet by 60 feet and contains a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and the surrounding path is 248 feet Determine the width of the path. (Figure cannot copy)

Zachary Q.

Prealgebra

4 days, 3 hours ago

Gateway Arch The Gateway Arch in St. Louis is often mistaken to be parabolic in shape. In fact, it is a catenary, which has a more complicated formula than a parabola. The Arch is 630 feet high and 630 feet wide at its base. (a) Find the equation of a parabola with the same dimensions. Let $x$ equal the horizontal distance from the center of the arch. (b) The table below gives the height of the Arch at various widths; find the corresponding heights for the parabola found in (a). $$ \begin{array}{|cc|}\hline \text { Width (ft) } & {\text { Height (ft) }} \\ \hline 567 & {100} \\ {478} & {312.5} \\ {308} & {525} \\ \hline\end{array} $$ (c) Do the data support the notion that the Arch is in the shape of a parabola?

Philip G.

Prealgebra

4 days, 3 hours ago

Income Taxes The function $$ T(g)=1815+0.15(g-18,150) $$ represents the 2014 federal income tax $T$ (in dollars) due for a "married filing jointly" filer whose modified adjusted gross income is $g$ dollars, where $18,150 \leq g \leq 73,800$. (a) What is the domain of the function $T ?$ (b) Given that the tax due $T$ is an increasing linear function of modified adjusted gross income $g$, find the range of the function $T$. (c) Find adjusted gross income $g$ as a function of federal income tax $T .$ What are the domain and the range of this function?

Jon C.

Prealgebra

4 days, 3 hours ago

A set of real numbers is graphed. Find an inequality involving an absolute value that describes the set. graph can't copy

Daniel M.

Prealgebra

4 days, 23 hours ago

At the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later, the odometer read 22,125. Assume the scale on the odometer is in miles. What is the average speed the car traveled during this trip?

Alex T.

Prealgebra

1 week ago

You have 200 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

Tammy S.

Prealgebra

1 week ago

Your roommate, Sarah, offered to buy groceries for you and your other roommate. The total bill was 82. She forgot to save the individual receipts but remembered that your groceries were 0.5 cheaper than half of her groceries, and that your other roommate's groceries were $2.10 more than your groceries. How much was each of your share of the groceries?

Sally S.

Prealgebra

1 week ago

Near the surface of the moon, the distance that an object falls is a function of time. It is given by $d(t)=2.6667 t^{2}$ , where $t$ is in seconds and $d(t)$ is in feet. If an object is dropped from a certain height, find the average velocity of the object from $t=1$ to $t=2 .$

April M.

Prealgebra

1 week, 1 day ago

An engineer is designing a flashlight using a parabolic reflecting mirror and a light source, as shown. The casting has a diameter of 4 inches and a depth of 2 inches. The parabola is positioned in a rectangular coordinate system with its vertex at the origin. (IMAGE CANT COPY) a. Write an equation in the form $y=a x^{2}$ for the parabola used to shape the mirror. b. The light source should be placed at the focus $(0, p)$ The value of $p$ is given by the equation $a=\frac{1}{4 p}$ Where should the light source be placed relative to the mirror's vertex?

James H.

Prealgebra

1 week, 1 day ago

A rain gutter is made from sheets of aluminum that are 20 inches wide by turning up the edges to form right angles. Determine the depth of the gutter that will maximize its cross-sectional area and allow the greatest amount of water to fl ow. What is the maximum cross-sectional area?

Brady G.

Prealgebra

1 week, 3 days ago

The speed of water flowing in a channel, such as a canal or river bed, is governed by the Manning Equation $$V=1.486 \frac{A^{2 / 3} S^{1 / 2}}{p^{2 / 3} n}$$ Here $V$ is the velocity of the flow in $\mathrm{ft} / \mathrm{s} ; A$ is the cross- sectional area of the channel in square feet; $S$ is the down- ward slope of the channel; $p$ is the wetted perimeter in feet the distance from the top of one bank, down the side of the channel, across the bottom, and up to the top of the other bank); and $n$ is the roughness coefficient (a measure of the roughness of the channel bottom). This equation is used to predict the capacity of flood channels to handle runoff from heavy rainfalls. For the canal shown in the figure, $A=75 \mathrm{ft}^{2}, S=0.050, p=24.1 \mathrm{ft},$ and $n=0.040$. (a) Find the speed with which water flows through this canal. (b) How many cubic feet of water can the canal discharge per second? [Hint: Multiply $V$ by $A$ to get the volume of the flow per second.]

Cheryl C.

Prealgebra

1 week, 3 days ago

The tolerance for a ball bearing is $0.01 .$ If the true diameter of the bearing is to be 2.0 inches and the measured value of the diameter is $x$ inches, express the tolerance using absolute value notation.

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