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rosijanka [135]

3 years ago

13

An aquarium is shown below. The direction state that water should be exactly three inches below the top of the aquarium. What is

the volume of the water in the tank?

2 answers:

vivado [14]3 years ago

6 0

24296....................

alex41 [277]3 years ago

4 0

Answer:

24296

Step-by-step explanation:

i used a calculator XD

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Consider H0: μ = 45 versus H1: μ < 45. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025 and

a_sh-v [17]

Given
$H0: \ \mu=45 \\ \\ H1: \ \mu\ \textless \ 45$
This is a one-tailed test.

$z= \frac{41.8-45}{6/ \sqrt{25} } = \frac{-3.2}{6/5} = \frac{-3.2}{1.2} =-2.6667$

$P(z\ \textless \ -2.6667)=0.00383$

Since the p-value of the sample statistic (0.00383) is less that the significant level (0.025), we reject the null hypothesis.

5 0

2 years ago

Emma is playing miniature golf. Her ball is 2 feet to the left of the right-hand wall. The hole is 4 feet to the left of the wal

NISA [10]

Answer:

<u></u>

<u>She should aim 6 feet down the wall</u>

Explanation:

The diagram attached sketches the situtation.

Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.

Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:

x/4 = y/2 ⇒ x = 2y

You have other equation:

x+ y = 18

Substitute

2y + y = 18
3y = 18
y = 18/3
y = 6 ← this is the distance down the wall where the ball should hit

x = 2(6) = 12

Then, she should aim 6 feet down the wall.

8 0

3 years ago

What is the slope-intercept equation of the line going through (3, -6) and

jok3333 [9.3K]

Hi there!

$\large\boxed{D. \text{ }y = -4x + 6}$

To derive an equation given the points, we can use the slope formula:

$slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}}$

Plug in the corresponding coordinates:

$slope = \frac{-6-2}{3-1}$

Simplify:

$slope = \frac{-8}{2} = -4$

Therefore, we have:

y = -4x + b

Plug in the x and y values for a coordinate to solve for b:

2 = -4(1) + b

2 = -4 + b

b = 6

The equation is:

y = -4x + 6. The correct answer is D.

7 0

2 years ago

Find a general solution of y" + 4y = 0.

klio [65]

Answer:

$y(x)=C_{1}cos2x+C_{2}sin(2x)$

Step-by-step explanation:

It is a linear homogeneous differential equation with constant coefficients:

y" + 4y = 0

Its characteristic equation:

r^2+4=0

r1=2i

r2=-2i

We use these roots in order to find the general solution:

$y(x)=C_{1}cos2x+C_{2}sin(2x)$

8 0

3 years ago

Elana walked 12 miles. then she walked 1/4 that distance. how far did she walk all together. select all that apply.

Nezavi [6.7K]

Answer:

c., d., f

Step-by-step explanation:

"elana walked 12 miles"

That is 12.

"then she walked 1/4 that distance"

That is 1/4 of 12 miles, so it is 1/4 * 12

She walked altogether

12 + 1/4 * 12 = 12 + 3 = 15

She walked altogether 15 miles.

a.12+1/4 = 12.25 which is not 15

b.12×1/4 = 3 which is not 15

c.12+1/4×12 = 12 + 3 = 15 which is correct

d.12(1+ 1/4) = 12(1.25) = 15 which is correct

e.12×3/4 = 9 which is not 15

f.12×5/4 = 15 which is correct

Answer: c., d., f

3 0

3 years ago