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irinina [24]
3 years ago
10

Quinn is building an enclosed pen in his backyard. He wants the perimeter to be no more than 50 feet. He also wants the length t

o be at least 5 feet longer than the width.
Which combination of width and length will meet Quinn’s requirements for the pen?

A. width = 7 feet and length = 20 feet

B. width = 5 feet and length = 12 feet

C. width = 15 feet and length = 10 feet

D. width = 11 feet and length = 15 feet
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

B is rite

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Roman55 [17]
17.429 (rounded)

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3 years ago
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Express the integral as an iterated integral in six different ways, where E is the solid bounded by y=4-x^2-4z^2 and y=0
zmey [24]
Assuming you need the integral expressing the volume of E, the easiest setup is to integrate with respect to y first.

This is done with either

\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dx\,\mathrm dz
\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dz\,\mathrm dx

Thanks to symmetry, integrating with respect to either x or z first will be nearly identical.

First, with respect to x:

\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dy\,\mathrm dz
\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dz\,\mathrm dy

Next, with respec to z:

\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dy\,\mathrm dx
\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dx\,\mathrm dy
5 0
3 years ago
Enter a positive value for k that makes this statement true 20 times k is less than 20 but greater than o
leonid [27]

Answer:

Step-by-step explanation:

If we're asked to use any positive value. It means we could have a wide variety of answer. A positive value of k that makes the equation 20k to be less than 20, yet greater than zero has to be any decimal value or a fraction, if you so wish.

As an example, if k is 0.5. Then we have

20k = 20 * 0.5 = 10, which is less than 20 and greater than zero

Again, if k is 0.9. Then we have

20k = 20 * 0.9 = 18, which is less than 20 and greater than zero.

So, you use any decimal number greater than 0, yet less than 1

5 0
3 years ago
Someone pls help 0xy + 32y
Thepotemich [5.8K]

Answer:

32y

Step-by-step explanation:

0xy=0

If you change x or y on any number, you will get 0: 5*0=0, 100*0=0

So, 0+32y = 32 y

7 0
3 years ago
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The estimate of the population proportion should be within plus or minus 0.02, with a 90% level of confidence. The best estimate
Rudiy27

Answer:

The sample size required is 910.

Step-by-step explanation:

The confidence interval for population proportion is:

CI=\hat p\pm z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

The margin of error is:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }

Given:

\hat p = 0.16\\MOE= 0.02\\Confidence\ level =0.90

The critical value of <em>z</em> for 90% confidence level is:

z_{\alpha /2}=z_{0.10/2}=z_{0.05}=1.645 *Use a standard normal table.

Compute the sample size required as follows:

MOE=z_{ \alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n} }\\0.02=1.645\times \sqrt{\frac{0.16(1-0.16)}{n} }\\n=\frac{(1.645)^{2}\times 0.16\times (1-0.16)}{(0.02)^{2}} \\=909.2244\\\approx910

Thus, the sample size required is 910.

5 0
3 years ago
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