Find the value of x.

Answers

Answer 1

Answer: X=35 degrees

The angle should measure 90 degrees. We already know if 20 degrees, so we still need 70 degrees more. 2x=70 70/2=35

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The function f(x) = x2 + 22x + 58 is translated 4 units to the right and 16 units up. What is the vertex form of the new function?A.(x – 11)2 + 58 B.(x + 22)2 – 121 C.(x + 7)2 – 47 D.(x – 15)2 + 94

Which expression would represent the cost of one CD, if the total cost for three of them is $36?36-3
3(36)
36/3
3+36

Answers

Answer:

C: 36/3

Step-by-step explanation:

36 ÷ 3 = 12

We solve by using the total amount of dollars and dividing by how many CDs there are

Answer:C: 36/3

Step-by-step explanation:

36 ÷ 3 = 12

We solve by using the total amount of dollars and dividing by how many CDs there are

The height of a trapezoid is 8 ft and its area is 116 ft2. One base of the trapezoid is 1 ft shorter than twice the length of the other base. Find the length of each base.

Answers

Answer:

Step-by-step explanation:

h = 8 ft

b₁ = 2b₂-1

area = h(b₁+b₂)/2 = 116

8((2b₂-1)+b₂)/2 = 116

3b₂-1 = 29

3b₂ = 30

b₂ = 10 ft

b₁ = 2b₂-1 = 19 ft

The bases are 19 ft and 10 ft

Simplify. Write in radical form.
(x^3y^-2/xy)^-1/5

Answers

Answer:

The radical form of the expression $((x^3y^(-2))/(xy))^{(-1)/(5)}$ is $\sqrt[5]{(y^3)/(x^2)}$

Step-by-step explanation:

Given : $((x^3y^(-2))/(xy))^{(-1)/(5)}$

We have to simplify the given expression and write in radical form.

RADICAL FORM is the simplest form of expression that do not involve any negative exponent and power is less than n, where n is the nth root of that expression.

Consider the given expression $((x^3y^(-2))/(xy))^{(-1)/(5)}$

Cancel out the common factor x, we get,

$((x^2y^(-2))/(y))^{(-1)/(5)}$

Using laws of exponents, $a^(-m)=(1)/(a^m)$ , we have,

$((x^2)/(y\cdot y^2))^{(-1)/(5)}$

Using laws of exponents, $x^m \cdot x^n=x^(m+n)$ , we have,

$((x^2)/(y^3))^{(-1)/(5)}$

Again using laws of exponents, $a^(-m)=(1)/(a^m)$ , we have,

$((y^3)/(x^2))^{(1)/(5)}$

Also, written as $\sqrt[5]{(y^3)/(x^2)}$

Thus, the radical form of the expression $((x^3y^(-2))/(xy))^{(-1)/(5)}$ is $\sqrt[5]{(y^3)/(x^2)}$

Hope this helped! Much luck!

Find the range of {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}.

Answers

Answer: The range is the output of our data, in standard notation represented as (x,y) where x is the input and y the output.

So the values of x are the domain, and the values of y are the range.

The set you give is : {(3.2, –3), (7.6, 5.9), (1.4, –3), (–9.1, 8.3)}

You can see that the range is : {-3, 5.9, 8.3}

Notice that in the set, the point y = -3 appears two times (in different pairs), but in the range only one, because you cant repeat the same value in one set.

range is output or y
(x,y)
the range is the 2nd number
when it repeats, don't list again
range=-3,5.9,8.3

A stockbroker earns a base salary of 40000 dollar plus 5%of the total value of the stocks,mutual funds , and other investments that the stockbrokersells.last year, the stockbroker earned 72750 dollar. what was the total value of investments the stockbroker sold?

Answers

Well his salary is $40,000 dollars.

$72,750 - $40,000 = $32,750

This means that 5% of the value of investments he had sold was equal to $32,750.

$\frac { 1 }{ 20 } * I=32750\n \n 20* \frac { 1 }{ 20 } * I=20* 32750\n \n \therefore \quad I=655000$

The stockbroker sold $655,000 worth of investments.

A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditional bulbs. Is there an incentive for this study to be biased? Why or why not?No, because neither company benefits from the survey results.

No, because the light bulb distributor trusts the LED bulb manufacturer.

Yes, because the LED bulb manufacturer may benefit from the survey results.

Yes, because the light bulb distributor wants to become a "green" company.

Answers

Answer:

C. Yes, because the LED bulb manufacturer may benefit from the survey results.

Step-by-step explanation:

We are given that,

'An LED bulb manufacturer gives the study with the result that LED light bulbs are better for the environment than the traditional bulbs'.

Now, if the light bulb distributor further shows the result to the consumers, they would like to buy LED bulbs.

So, the demand for the LED bulbs would increase. For that, the distributor would have to order more LED bulbs from the manufacturer.

Thus, the supply of LED bulbs would increase for the manufacturer resulting in increase in revenue.

Hence, the LED manufacturer may benefit from the survey result.

A light bulb distributor was given a study from an LED bulb manufacturer showing that LED light bulbs are better for the environment than traditionalbulbs. Is there an incentive for this study to be biased? Why or why not?

Yes, because the LED bulb manufacturer may benefit from the survey results.

If the light bulb distributor will decide get more stock of LED bulb due to the study given by the LED company, then, the LED company will benefit from it.

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