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4 years ago

12

The formula c = 5p + 200 relates c, the total cost in dollars of hosting a birthday party at a skating rink, to p, the number of

people attending. If Allie's parents are willing to spend $300 for a party, how many people can attend?

2 answers:

Lilit [14]4 years ago

7 0

20 people can attend

I like sloths

Anna [14]4 years ago

7 0

20 people attended the party

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Which graph represents the function h(x)=IxI+0.5

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It should look like a v with the origin at +0.5

Step-by-step explanation:

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3 years ago

If a simple harmonic motion is described by x = 3 cos(πt), starting from t = 0 s, what is the first occurrence of a value of t f

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The first occurence of t for which x = 0 is t = 0.5.

Step-by-step explanation:

The harmonic motion is described by the following equation.

$x(t) = 3\cos{\pi t}$

What is the first occurrence of a value of t for which x = 0?

This is t when $x(t) = 0$ . So

$x(t) = 3\cos{\pi t}$

$3\cos{\pi t} = 0$

$\cos{\pi t} = \frac{0}{3}$

$\cos{\pi t} = 0$

The inverse of the cosine is the arcosine. So we apply the arcosine function to both sides of the equality.

$\arccos{\cos{\pi t}} = \arccos{0}$

$\pi t = \frac{\pi}{2}$

$t = \frac{\pi}{2 \pi}$

$t = \frac{1}{2}$

$t = 0.5$

The first occurence of t for which x = 0 is t = 0.5.

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3 years ago

Max is stacking logs at his campground for firewood. After his first load of logs, he has 12 logs on the stack. After his sevent

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Answer:

Let L(n) be the function that gives the amount of logs stacked after n loads.

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Step-by-step explanation:

Let L(n) be the function that gives the amount of logs stacked after n loads.

Let's call for the moment the first load as L(0)

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L(n) = 12 + nr

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If we want to start with n=1, we simply change the variable

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So L(1) = 12, L(2) = 20, L(3) = 28,...L(7) = 60 and so on.

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3 years ago