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deff fn [24]
3 years ago
9

The formula for the volume of a cube is V(s) = s3 where s is the side length of the cube. What is the domain and range of this f

unction?
A.) s < 0, V(s) < 0
B.) s > 0, V(s) < 0
C.) s < 0, V(s) > 0
D.) s > 0, V(s) > 0
Mathematics
2 answers:
Ahat [919]3 years ago
4 0
The domain is all the positive values and the range is also all the positive values.

Then the answer is the option D) s>0 and V(s) > 0.
3241004551 [841]3 years ago
3 0

Answer:

Option D. s> 0, V(s)> 0

Step-by-step explanation:

we know that

The volume of a cube is equal to

V(s)=s^{3}

where

s is the side length of the cube

Remember that

The side length of the cube cannot be a negative number

so

s> 0

The domain is all real numbers greater than zero

The volume of the cube cannot be a negative number

so

V(s)> 0

The Range is all real numbers greater than zero

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Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After reading for 444 hours, he had 33
siniylev [52]

Answer:

<h3>The function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>

Step-by-step explanation:

Given that "Naoya read a book at a rate of 55 pages per hour".

After reading book for 4 hours, he had 330 pages remaining to read.

In 4 hours, Naoya must read is given by

\frac{55}{1hr}\times 4hr ( by given)

=220

<h3>∴ In 4 hours, Naoya must read 220 pages</h3>

From the given there were 330 pages remaining to read at the time,

The total number of pages is given by

=220+330

=550

<h3>∴ The total number of pages is 550 </h3>

For each hour of reading, Naoya reads 55 pages, so the number of pages he finished reading by the "t"th hour is given by 55t

Let P(t) be the number of pages to read where P is a function of time t (measured in hours)

So the number of pages left to read is given by

P(t)=550-55t

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3 0
3 years ago
give an example of a convergent infinite series whose sum equal 3/5. explain how you know your series converges and write out wo
krek1111 [17]

Answer:

The series 1/5, 2/15, 4/45, 8/135... converges and sums up to 3/5

Step-by-step explanation:

Consider the infinite geometric series

1/5, 2/15, 4/45, 8/135...

With first term, a=1/5

common ratio, r = ⅔

The series converge because the common ratio, |r|<1.

The sum to infinity of a geometric series, S= a/(1-r)

S= 1/5 ÷ (1-⅔) = 1/5 ÷ 1/3 = 3/5

Therefore, the geometric series 1/5, 2/15, 4/45, 8/135... sums up to 3/5.

5 0
3 years ago
I need help please !!! <br><br>​
lora16 [44]

Answer: g(4)= -60

Step-by-step explanation:

You just plug in 4 into the equation

g(4)= 2√4 - (4)³

g(4)= 2√4 - (4)³

g(4)= 2·2 - (64)

g(4)= 4 - 64

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7 0
3 years ago
1 poir
poizon [28]

9514 1404 393

Answer:

  $1790.99

Step-by-step explanation:

<u>Given</u>:

  $1625 is invested at an annual rate of 1.95% compounded quarterly for 5 years

<u>Find</u>:

  the ending balance

<u>Solution</u>:

The compound interest formula applies.

  FV = P(1 +r/n)^(nt) . . . Principal P at rate r for t years, compounded n per year

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The account ending balance would be $1790.99.

8 0
3 years ago
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