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3 years ago

Divide x to the 5 eighths power divided by x to the 1 fourth power.

Mathematics

1 answer:

8_murik_8 [283]3 years ago

8 0

$\frac{x^{5/8}}{x^{1/4}} = x^{5/8-1/4}= x^{5/8-2/8}= x^{3/8} or \sqrt[8]{x^3}$

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How much is 21 hundreds

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21 hundreds would be 2100

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2 years ago

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Josh can paint a whole room in m hours while Kevin can paint a whole room in n hours. How many parts of the room can they paint

Leona [35]

<h3>Answer: (m+n)/(mn)</h3>

Work Shown:

Josh:

1 room = m hours

1/m room = 1 hour

Kevin:

1 room = n hours

1/n room = 1 hour

We see that the rates for Josh and Kevin are 1/m and 1/n respectively. This is the amount of a room they paint in one hour. Combine the fractions

1/m + 1/n = n/(mn) + m/(mn) = (n+m)/(mn) = (m+n)/(mn)

The expression (m+n)/(mn) represents how much of the room they get painted in 1 hour. This is if they work together and it assumes neither worker slows the other one down.

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3 years ago

Consider the cubic function f(x) = x^3 + ax^2 + bx + 4 where (a) and (b) are constants. When f(x) is divided by x-3, the remaind

Debora [2.8K]

Answer:

see explanation

Step-by-step explanation:

Using the Remainder theorem

If f(x) is divided by (x - h) then f(h) = remainder, thus

f(3) = 3³ + a(3)² + b(3) + 4 = 10, that is

27 + 9a + 3b + 4 = 10

9a + 3b + 31 = 10 ( subtract 31 from both sides )

9a + 3b = - 21 → (1)

f(- 1) = (- 1)³ + a(- 1)² + b(- 1) + 4 = 6, that is

- 1 + a - b + 4 = 6

a - b + 3 = 6 ( subtract 3 from both sides )

a - b = 3 → (2)

Rearrange (2) expressing a in terms of b

a = 3 + b → (3)

Substitute a = 3 + b into (1)

9(3 + b) + 3b = - 21 ← distribute and simplify left side

27 + 9b + 3b = - 21

12b + 27 = - 21 ( subtract 27 from both sides )

12b = - 48 ( divide both sides by 12 )

b = - 4

Substitute b = - 4 into (3)

a = 3 - 4 = - 1

Hence a = - 1 and b = - 4

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2 years ago

Jenny is saving $18 a week. She wants to buy a cell

tester [92]

14
Because you divide

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2 years ago

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Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason’s sample consiste

Ksenya-84 [330]

Both the sample can be used to make inferences about the population.

The correct option is D.

Given

Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000.

Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population.

<h3>Percentage;</h3>

A percentage is a number or ratio that can be expressed as a fraction of 100.

According to the question

Total number of population = 25000

Percent of a sample of Jason = 0.24%

Percent of the sample of Yolanda's = 0.32%

So, the number of the population according to Jason's sample is given by;

$=\dfrac{0.24}{100}\times 25000\\\\=0.24 \times 250\\\\=60$

The number of the population according to Yolanda's sample is given by;

$=\dfrac{0.32}{100}\times 25000\\\\=0.32 \times 250\\\\=80$

Hence, Both the sample can be used to make inferences about the population

To know more about the percentage click the link given below.

brainly.com/question/16216214

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1 year ago