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3 years ago

14

The square of five is

1 answer:

Mars2501 [29]3 years ago

6 0

Square of five = 5^2 = 5 x 5 = 25

answer
c) 25

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Help (20 points, due tmr!! )<br><br> *pic below* :)

sveta [45]

Angles:
2 acute angles and 2 obtuse angles

Sides:
2 pairs pf parallel sides

7 0

3 years ago

A girl's feet are negative 4 over 6 yards from the surface of a pool. A boy's feet are negative 1 over 6 yards from the surface

notka56 [123]

The correct answer is B.

See diagram

EXPLANATION

Let us choose zero to be our reference point. That is zero is representing the surface of the pool.

Since

$-\frac{1}{6}>-\frac{4}{6}$

Or

$-\frac{4}{6}$

$-\frac{1}{6}$

will be closer to zero.

We were told that

$-\frac{1}{6}$

is where the boy's feet are. Therefore his feet are closer to the surface of the pool than the girl's feet.

So the correct answer is

the second option

7 0

3 years ago

How does a number in scientific notation change when you multiply it by 100?

solmaris [256]

100 is equal to $10^{2}$ , So, when you multiply the scientific notation by 100, you should add 2 to the exponent of 10 in that scientific notation:

For example;
$9.12* 10^{8} * 100$

= $9.12* 10^{8} * 10^{2}$

= $9.12* 10^{8+2}$

= $9.12* 10^{10}$

4 0

3 years ago

Solve 5y'' + 3y' – 2y = 0, y(0) = 0, y'(O) = 2.8 y(t) =( Preview

Karolina [17]

Answer:

$y=\frac{4}{5}e^{t}-\frac{4}{5}e^{-\frac{2}{5}t}$

Step-by-step explanation:

The given equation 5y'' + 3y' - 2y =0 can be written as

$(5D^{2}+3D-2)y(t)=0$

Solving for complementary function we have Roots of $(5D^{2}+3D-2)$ as follows

$(5D^{2}+5D-2D-2)$

$5D(D+1)-2(D+1)=0\\\\(5D-2)(D+1)=0\\\\\therefore D=-1\\D=+2/5$

Thus the complementary function becomes

y= $y=c_{1}e^{m_{1}t}+c_{2}e^{m_{2}t}$

where

$m_{1},m_{2}$ are calculated roots

thus solution becomes

$y=c_{1}e^{-t}+c_{2}e^{\frac{2}{5}t}$

Now to solve for the coefficients we use the given boundary conditions

$y(0)=0\\\\\therefore c_{1}+c_{2}=0\\\\y'(0)=-c_{1}+\frac{2}{5}c_{2}=2.8\\\\\therefore c_{2}+\frac{2}{5}c_{2}=2.8\\\\c_{2}=2\\\\\therefore c_{1}=-2}$

hence the solution becomes

$y=-2e^-{t}+2e^{\frac{2}{5}t}$

8 0

3 years ago

foot locker uses sales per square foot as a measure of store productivity last year the mean annual sales per square foot was 39

lord [1]

Answer:

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

Step-by-step explanation:

We have a population with mean 390 and standard deviation 45.83.

Samples of size n=49 are taken.

The parameters of the sampling distribution are:

$\mu_s=\mu=390\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{45.83}{\sqrt{49}}=\dfrac{45.83}{7}=6.547$

First, we have to calculate the z-score that satisfies:

$P(z>z^*)=0.82$

This z-score, looked up in a standard normal distribution table, is z=-0.915.

Then, we can calculate the sample mean as:

$M=\mu_s+z\cdot\sigma_s=390+(-0.915)\cdot 6.547=390-6=384$

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

3 0

3 years ago