Please help!!!! attached picture!!!

Solve in attachment....

olga2289 [7]

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

$\displaystyle \int_{0} ^{1} 5x \sqrt{x} dx$

use constant integration rule which yields:

$\displaystyle 5\int_{0} ^{1} x \sqrt{x} dx$

notice that we can rewrite √x using Law of exponent therefore we obtain:

$\displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx$

once again use law of exponent which yields:

$\displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx$

use exponent integration rule which yields;

$\displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1}$

simplify which yields:

$\displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1}$

recall fundamental theorem:

$\displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)}$

simplify:

$\displaystyle 2$

hence

our answer is A

8 0

3 years ago

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Learning Task 1: Choose the correct answer. Write your answers on your answer sheet.

irina [24]

Answer
Q1- c
Q2-c
Q3-d
Q4-b
Q5-a

3 0

3 years ago

Can someone please help me?

VikaD [51]

Answer:

The answer is 27

Step-by-step explanation:

The reason being, you can solve this 2 ways.

1) Combine like terms, 7a-4a = 3a.

Now just substitute (a=9) into 3a.

3 * (9) = 27.

2) Or just substitute a = 9 into the original expression.

7 * (9) - 4 * (9)

= 63 - 36 = 27

4 0

3 years ago

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Help me!! A water tank is 1/8 full. The tank is 3/4 full when 42 gallons of water is added to the tank. How much can the water t

chubhunter [2.5K]

Answer(s):

1.) 56 gallons

2.) 7 gallons

3.) 28 gallons

Step-by-step explanation:

Q1: How much water can the tank hold?

Based on the question, we know that 3/4 of the tank equals 42 gallons. Divide 42 by the numerator, 3.

42/3 = 14

Now, multiply 14 by the denominator, 4.

14 x 4 = 56.

So, the tank can hold 56 gallons. [If you'd like to double check this answer, take the fraction 42/56 and simplify it to get 3/4.

Q2: How much water was originally in the tank?

We know that the tank's maximum capacity is 56 gallons. So, if it was 1/8 originally full, multiply 56 by 1/8. [Remember that 56 as a fraction can be written as 56/1]

1/8(56/1) = 7

This means that the tank was originally 7 gallons full. [If you'd like to double check this answer, take the fraction 1/8 and multiply the numerator and denominator by 7. This gets you 7/56, or 7 gallons out of the total capacity, 56 gallons.]

Q3: How much water is in the tank when it is 1/2 full?

Earlier, we found out that the maximum capacity of the tank is 56 gallons. To find out how many gallons it holds when its half full, divide 56 by 2.

56/2 = 28

So, when the tank is 1/2 full, it contains 28 gallons. [If you want to double check this answer, take the fraction 28/56 and simplify it. When you do, you get 1/2.]

5 0

4 years ago

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After completing this activity, what is your initial explanation of how the populations of predators and prey are related?

Evgesh-ka [11]

Step-by-step explanation:

prey and predators depends in each other .in the absence of one another is useless or meaning less. predators is responsible for population of prey.if less predators more prey and more predators means less prey.

4 0

3 years ago

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