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AysviL [449]
3 years ago
5

Can someone explain how to solve this?

Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

9514 1404 393

Answer:

  (2/3)(e^t +1)^(3/2)

Step-by-step explanation:

Use the substitution ...

  u = e^t +1

Then du = e^t and you are finding the integral of ...

  ∫u^(1/2)·du

which you know by the power rule is ...

  (2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)

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The table below represents the distance of a car from its destination as a function of time.
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We are given the table that projects the distance of the car per hour. x is associated to time while y is associated to distance. The equation of the line after plotting in MS Excel is y = 900 - 50x. Hence the y-intercept is equal to 900 while the slope is equal to -50. The domain of the function that is x is all positive numbers. 
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3 years ago
Draw segment EF so that is bisects RS. Mark their intersection appoint A
Neko [114]

Step-by-step explanation:

EF is a segment so it's a line with the end points as E and F. Line RS bisects(cuts in half) line EF. Then where the two lines meet is where A is.

Hope this helped.

4 0
3 years ago
If using the method of completing the square to solve the quadratic equation
kap26 [50]

Answer:

225/4

Step-by-step explanation:

x²– 15x – 23 = 0

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We take to coefficient of the x term

-15

divide by 2

-15/2

Square it

225/4

Add it to each term

8 0
3 years ago
Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2
Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

E(x) = \sum x* P(x)

So, we have:

E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2

This gives

E(x) = 2.7

Next, calculate E(x^2) using:

E(x^2) = \sum x^2* P(x)

So, we have:

E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2

E(x^2) = 9.5

The variance is then calculated as:

Var(x) = E(x^2) - (E(x))^2

So, we have:

Var(x) = 9.5 - 2.7^2

Var(x) = 2.21

Approximate

Var(x) = 2.2

Hence, the variance of the data is 2.2

Read more about variance at:

brainly.com/question/15858152

4 0
2 years ago
An increased the quantities of all the ingredients in a recipe by 60, percent. She used 80 grams left parenthesis, right parenth
iogann1982 [59]

Answer:

The recipe did require 50 grams of cheese.

Step-by-step explanation:

Since, 60 percent extra cheese is used, therefore the given amount of cheese is 160% of recipe requirement. Or in other words, the given amount of cheese is 1.6 times the requirement.

80 grams = (1.6)(Recipe Requirement)

Recipe Requirement = 80/1.6 grams

<u>Recipe Requirement = 50 grams</u>

8 0
3 years ago
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