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3 years ago

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A paraboloid container is being filled with fluid at the rate of 4.5 cubic feet per minute. At what rate is the level of fluid c

hanging when the depth
is 2.5 feet? The ratio of the radius to the height of the container is 3:7.
"V = 1/2 pir^2h

1 answer:

docker41 [41]3 years ago

7 0

Answer:

2.62 ft./min

Step-by-step explanation:

Just took the test.

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Find the volume of the prism.

umka21 [38]

Answer:

C = 210cm^3

Step-by-step explanation:

We can get an estamate when we use the equation L x H x W = x/2

This shows 8 x 8 x 7, then divide by 2 = 224cm^3

The reason it is slightly less could be the facts the teachers want you to remember this one.

For right side prism the equation is (1/2)b x h x H

which means;

The volume of a triangular prism can be found by multiplying the base times the height. Both of the pictures of the Triangular prisms below illustrate the same formula. The formula, in general, is the area of the base (the red triangle in the picture on the right) times the height,h.

We use the side and base that surrounds the right side as (1/2)base and as side to find area then use the H as the height being the 7.

3 0

3 years ago

Read 2 more answers

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$

SAT scores have a mean of 950 and a standard deviation of 155. This means that $\mu = 950, \sigma = 155$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1070 - 950}{155}$

$Z = 0.77$

ACT:

Scored 25, so $X = 25$

ACT scores have a mean of 22 and a standard deviation of 4. This means that $\mu = 22, \sigma = 4$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{25 - 22}{4}$

$Z = 0.75$

Due to the higher z-score, he did better on the SAT.

8 0

3 years ago

Rate and unit rate for 7.96 for 5 pounds

motikmotik

Just divide the price by the amount bought.
7.96÷5
Which equals 1.592. So round that to 1.59.
The unit price is $1.58 per pound.
Hope I helped!

8 0

3 years ago

How do you do 4x^2+3x-10=0

Likurg_2 [28]

$4x^2+3x-10=0\\
4x^2+8x-5x-10=0\\
4x(x+2)-5(x+2)=0\\
(4x-5)(x+2)=0\\
x=\dfrac{5}{4} \vee x=-2
$

8 0

3 years ago

Algebra 2 Quadratics. <br>Maximum Height of<br> h(t) = -16t + 96t<br>(with steps if possible)

JulijaS [17]

Answer:

max. height = 240

Step-by-step explanation:

Function should be h(t ) = - 16t² + 96t

find the zeros by solving h(t) = 0

- 16t² + 96t = 0 ( take out common factor - 16t )

- 16t(t - 6) = 0

equate each factor to zero and solve for t

- 16t = 0 ⇒ t = 0

t - 6 = 0 ⇒ t = 6

the maximum vertex is at the midpoint of the zeros

t = $\frac{0+6}{2}$ = 3

h(3) = (- 16 × 3) + (96 × 3) = - 48 + 288 = 240 ← max. height

3 0

3 years ago