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3 years ago

Help plz I wanna be done with homework for the day :(

Mathematics

2 answers:

Vesna [10]3 years ago

8 0

Answer:

72in

Step-by-step explanation:

We need to build an equation for each one.

the rate of growth is actually the slope, and their hight is the starting point.

so Alex's is y=1/4x+60

Leo's y=1/2x+48.

y here represents their height so we need to do this:

y=y meaning

1/4x+60=1/2x+48

1/4x=12

x=48 then we replace the value of x

y=1/4x+60

=12+60

y=72in

Studentka2010 [4]3 years ago

6 0

Answer:

ohhhh we have the same question

Step-by-step explanation:

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Find the distance between the points (8,-3) and (2, -3).

vladimir2022 [97]

Because the Y values are the same ( -3) the distance is the difference between the x values:

Distance = 8-2 = 6

The answer is 6

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2 years ago

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skelet666 [1.2K]

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Step-by-step explanation:

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3 years ago

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets . She can make 1

scoundrel [369]

Answer:

Step-by-step explanation:

The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .

Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:

n α t

=> n = kt

where k = constant of proportionality

She can make 4 baskets in every 1/2 hour.

This means that:

4 = k * 1/2

=> k = 4 * 2 = 8 baskets per hour

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3 years ago

Help me pls and pls show work

EleoNora [17]

Answer:

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Step-by-step explanation:

5 0

3 years ago

If x = a cosθ and y = b sinθ , find second derivative

Olin [163]

I'm guessing the second derivative is for <em>y</em> with respect to <em>x</em>, i.e.

$\dfrac{\mathrm d^2y}{\mathrm dx^2}$

Compute the first derivative. By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$

We have

$y=b\sin\theta\implies\dfrac{\mathrm dy}{\mathrm d\theta}=b\cos\theta$

$x=a\cos\theta\implies\dfrac{\mathrm dx}{\mathrm d\theta}=-a\sin\theta$

and so

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{b\cos\theta}{-a\sin\theta}=-\dfrac ba\cot\theta$

Now compute the second derivative. Notice that $\frac{\mathrm dy}{\mathrm dx}$ is a function of $\theta$ ; so denote it by $f(\theta)$ . Then

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm dx}$

By the chain rule,

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm df}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$

We have

$f=-\dfrac ba\cot\theta\implies\dfrac{\mathrm df}{\mathrm d\theta}=\dfrac ba\csc^2\theta$

and so the second derivative is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac ba\csc^2\theta}{-a\sin\theta}=-\dfrac b{a^2}\csc^3\theta$

4 0

3 years ago