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4 years ago

6

A group of 5 students goes to the library to work on homework, but there are only 3 available computers. In how many ways can th

e students fill the 3 seats at the computers?

1 answer:

gogolik [260]4 years ago

8 0

I think it's 15... but i'm not 100% sure

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A farmer builds a fence to enclose a rectangular pasture. He uses 160 feet of fence. Find the total

givi [52]

Since the problem said he uses 160 feet of fence, you know that is the perimeter
P = 2l + 2w
You know that one of the dimensions is 50, so you can plug that into the equation
160 = 2 x 50 + 2w
160 = 100 + 2w
2w = 60
w = 30
The area is equal to l x w
50 x 30 = 1500 square feet

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3 years ago

Is f(x) a function?

Mila [183]

Yes as that is the function notation in play. a function of x.

5 0

3 years ago

Tell whether the angles are adjacent or vertical. Then find the value of $x$ .

boyakko [2]

Answer:

they are adjacent angles

Step-by-step explanation:

for adjacent angles

${(x + 3)}^{o} = {84}^{0} \\ x = 84 - 3 \\ x = 81$

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2 years ago

If the cost of a bat and a baseball combined is $1.10 and the bat costs 41.00 more than the ball, how much is the ball?

shepuryov [24]

Step-by-step explanation:

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3 years ago

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v

pochemuha

Answer:

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = $5000(1 - \frac{1}{40}t )^2$ , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = $2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )$

V'(t) = $2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )$

When we simplify the above, we get

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0

4 years ago