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3 years ago

Daniel read 3 books in 2.5 weeks. Which rate represents this situation?

Mathematics

2 answers:

sashaice [31]3 years ago

7 0

Answer: C) 3 books, 2.5 weeks

Step-by-step explanation:

Given statement: Daniel read 3 books in 2.5 weeks.

Here, the number of books is dependent quantity over number of weeks which is the independent quantity.

Therefore, the rate shows the number of dependent quantity with respect to the independent quantity.

Here the number of weeks = 2.5 weeks

The number of books read by Danial in 2.5 weeks=3

Therefore, The rate represents this situation is 3 books in 2.5 weeks.

Nady [450]3 years ago

3 0

The answer is C: 3 books, 2.5 weeks.

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Which is closest to the volume of a cylinder with a height of 11 inches and

Veseljchak [2.6K]

Answer:

The closest to the volume of cylinder is 63 in.³.

Step-by-step explanation:

Given:

Cylinder with a height of 11 inches and a circumference of 8 1/2 inches.

Now, to find the volume.

As circumference is given we get the radius by putting formula:

Circumference = 8 1/2 inches = 17/2 inches.

Let the radius be $r.$

$Circumference=2\pi r$

Taking the value of π = 3.14.

$\frac{17}{2}=2\times 3.14\times r$

$8.5=6.28\times r$

Dividing both sides by 6.28 we get:

$1.35=r$

So, radius = 1.35 inches.

Height = 11 inches.

Now, putting the formula to get the volume:

$Volume=\pi r^2h$

$Volume=3.14\times 1.35^2\times 11$

$Volume=3.14\times 1.8225\times 11$

$Volume=3.14\times 20.0475$

$Volume=62.949\ inches^3$

Hence, the volume of cylinder = 63 inches³ (approximately).

Therefore, the closest to the volume of cylinder is 63 in.³.

4 0

3 years ago

Are:

eimsori [14]

Step-by-step explanation:

a. The mean can be found using the AVERAGE() function.

x = 272.7

b. The standard deviation can be found with the STDEV() function.

s = 39.9

c. The t-score can be found with the T.INV.2T() function. The confidence level is 0.04, and the degrees of freedom is 26.

t = 2.162

d. Find the lower and upper ends of the confidence interval.

Lower = 272.7 − 2.162 × 39.9 = 186.5

Upper = 272.7 + 2.162 × 39.9 = 358.9

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3 years ago

If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v

pochemuha

Answer:

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = $5000(1 - \frac{1}{40}t )^2$ , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = $2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )$

V'(t) = $2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )$

When we simplify the above, we get

V'(t) = $-250(1 - \frac{1}{40}t)$

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

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3 years ago

What is the equation of the line that passes through the point (-1, 4) and has a slope of -5?

AfilCa [17]

Answer:

Step-by-step explanation:

y - 4 = -5(x + 1)

y - 4 = -5x - 5

y = -5x - 1

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2 years ago

Mr. Kent buys a car and pays by installments. Each installment is $827. If he still has to pay $325 after 72 installments, how m

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Answer:

$59,869

Step-by-step explanation:

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