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4 years ago

Help me with this question plzz

Mathematics

1 answer:

faltersainse [42]4 years ago

8 0

Answer:

Step-by-step explanation:

To check if a graph is a function, use the vertical line test. Use a ruler or straight edge, or simply imagine a vertical line. Move the line across the graph. The line should only intersect the graph at one point at any time.

B isn't a function because the line intersects the graph at two places (when x = 0).

C isn't a function because the line intersects the graph at two places (between x = -1 and x = 1).

D isn't a function because the line intersects the graph at two places (when x < -1 and when x > 1).

Only A is a function.

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Eliseo pays $8.99 for a one-point canister of Georgia pecans. Write and solve a proportion to determine the cost of 4 ounces of

dlinn [17]

Answer:

The cost of 4 ounces of the pecans is <u>$2.24</u>.

Step-by-step explanation:

Given:

Eliseo pays $8.99 for a one-pound canister of Georgia pecans.

Now, to solve a proportion to determine the cost of 4 ounces of the pecans she needs for a particular recipe.

Let the cost of 4 ounces of the pecans be $x.$

1 pound = 16 ounces.

So, using unitary method we get cost of 1 ounces:

Cost of 16 ounces of the pecans = $8.99.

Cost of 1 ounces of the pecans = $8.99 ÷ 16 = $0.56.

According to question we set proportion:

$4:x=1:0.56$

So, to get by cross multiplication method:

$\frac{4}{x} =\frac{1}{0.56}$

<em>By cross multiplying we get:</em>

$2.24=x$

$x=2.24$

Thus, the cost of 4 ounces of the pecans is $2.24.

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3 years ago

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Answer:

Step-by-step explanation:

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One gallon of paint covers 400 square feet of surface area. A typical spherical water tower holds 66,840.28 cubic feet of water.

enot [183]

Answer: There will enough to paint the outside of a typical spherical water tower.

Step-by-step explanation:

1. Solve for the radius r from the formula for calculate the volume of a sphere. as following:

$V=\frac{4}{3}r^{3}\pi\\\frac{3V}{4\pi}=r^{3}\\r=\sqrt[3]{\frac{3V}{4\pi}}$

2. Substitute values:

$r=\sqrt[3]{\frac{3(66,840.28ft^{3})}{4\pi}}=25.17ft$

3. Substitute the value of the radius into the equation fo calculate the surface area of a sphere, then you obtain that the surface area of a typical spherical water tower is:

$SA=4r^{2}\pi\\SA=4(25.17ft)^{2} \pi\\SA=7,964.95ft^{2}$

3. If a city has 25 gallons of paint available and one gallon of paint covers 400 square feet of surface area, you must multiply 25 by 400 square feet to know if there will be enough to paint the outside of a typical spherical water tower.

$25*400ft^{2}=10,000ft^{2}$

As you can see, there will enough to paint the outside of a typical spherical water tower.

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