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bagirrra123 [75]

3 years ago

7

In a survey of 100 Phoenix high school students, 43 were male students. 42 students were female and went to Phoenix Full time. I

f there were a total of 72 full time students, how many part-time male students were in the survey?
12
29
30
13

1 answer:

Elanso [62]3 years ago

3 0

30 male students do full time.

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PLEASE HELP ME ASAP<br> what is w<br> 7.5=w/3

-BARSIC- [3]

Step-by-step explanation:

w = 3x 7.5 = 22.5

hope this helps

3 0

3 years ago

How much is left after 24,815.00 in taxes is deducted from an annual salary of 83,500.00

Debora [2.8K]

$58,685 would be the amount left over.

6 0

3 years ago

g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur

sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

$\displaystyle V = \pi r^2h$

Substitute:

$\displaystyle (300) = \pi r^2 h$

Solve for <em>h: </em>

$\displaystyle \frac{300}{\pi r^2} = h$

Recall that the surface area of a cylinder is given by:

$\displaystyle A = 2\pi r^2 + 2\pi rh$

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for <em>h</em>.

$\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r} \end{aligned}$

Find its derivative:

$\displaystyle A' = 4\pi r - \frac{600}{r^2}$

Solve for its zero(s):

$\displaystyle \begin{aligned} (0) &= 4\pi r - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}$

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

$\displaystyle \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2} \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm} \end{aligned}$

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

7 0

3 years ago

Stefan did an experiment similar to the jumping jack exercise. He collected data on the number of deep knee bends a person could

stiks02 [169]

Answer:

What is the question tho?

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

1. Which of the following is the x-coordinate of the solution to the system shown below?

astra-53 [7]

Answer:

x=9

Step-by-step explanation:

Using elimination method.

Add equation 1 to equation 2

x + y = 11

x - y = 7

---------------

2x + 0 = 18

Divide both sides by 2

2x = 18

---- ----

2 2

x = 9

3 0

2 years ago