A teacher is covering a bulletin board with fabric. He has a piece of material that is 2 yards long and 36 inches wide. What size bulletin board can he cover with the material?

Answers

Answer 1
Answer: 36'' = 1 yard
The teacher can cover a bulletin board with size 2 yards^2
Answer 2
Answer: Well to start our problem we need to find the information that is most important. 2 yards and 36 inches wide, and "What size bulletin board can he cover with the material?". Now that we have our information we can figure this out : 36 : 1y yard so 2y by 36in aka 2/36, so......our work can lead us too : 2 yards *squared* or 2 yards^2. Hopes I helped!

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The graphs of f(x) and g(x) are shown below:If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?

g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x − 9)^2
g(x) = (x − 5)^2

Answers

The function that is based on the translation is g(x) = (x + 5)^2

How to determine the translation?

The function f(x) is given as:

f(x) = (x + 7)^2

The function f(x) is translated 2 units right to get function g(x)

This means that:

g(x) = f(x - 2)

So, we have:

f(x - 2) = (x -2 + 7)^2

Evaluate

f(x - 2) = (x + 5)^2

This gives

g(x) = (x + 5)^2

Hence, the function that is based on the translation is g(x) = (x + 5)^2

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Your Answer: G(x) = (x − 5)²

I just finished my semester exam, and this was one of the questions. I guessed on this question because I had no clue of what the answer was, and lucky me, I got the question right :D

Hope this helps y'all with your test :)

Select the interval where h(x)>0 {where h of x is greater than 0}Option1. -3.5 Option2. -2 Option3. 2.5

Answers

Answer:

The correct option is;

Option 3. 2.5

Step-by-step explanation:

From the graph of the function y = h(x), where h of x h(x) > 0 and x > 0 we have;

The first interval where y =h(x) > 0 occurs between x= 0 and x = 0.8

The second interval where y =h(x) > 0 occurs between 2.2 and 4 which is a range of 4 - 2.3 = 1.7

The total interval where y =h(x) > 0 occurs is therefore = 0.8 + 1.7 = 2.5

Thus the function y = h(x), is positive over an interval on the x-axis = 2.5.

Answer:

Option 3. 2.5

Step-by-step explanation:

An orbiting satellite has seven solar cells, which function independently of each other. During a mission, each cell fails with a probability of 0.3. What is the probability that there will be adequate power output for the mission if 7. All 7 cells must be active?

Answers

The probability of each cell not failing is 1.0 - 0.3 = 0.7.
The probability of all 7 cells not failing during a mission is given by:
P(7\ cells\ do\ not\ fail)=0.7^(7)=0.082\ or\ 8.2\ percent

Final answer:

The probability that all 7 solar cells will be active is 0.08243, or approximately 8.24%.

Explanation:

In this question, we are given that each solar cell on the satellite has a failure probability of 0.3. Since there are 7 cells, we need all of them to be active in order to have adequate power output for the mission. To find the probability of this happening, we need to calculate the probability of all 7 cells being active.

Since each cell operates independently, the probability of a cell failing is 0.3 and the probability of it being active is 1 - 0.3 = 0.7. Therefore, the probability that all 7 cells will be active is (0.7)^7 = 0.08243.

Thus, the probability of there being adequate power output for the mission is 0.08243, or approximately 8.24%.

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The pyramid of khagra,in Egypt,is 488 feet tall. The Eiffel Tower,in France,is 1,063 feet tall. How much taller is the Eiffel Tower than the Pyramid of Khafra?

Answers

Answer:

The Eiffel Tower in France is 575 feet taller than pyramid of khagra.          

Step-by-step explanation:

We are given the following in the question:

Height of pyramid of khagra = 488 feet

Height of Eiffel Tower in France = 1,063 feet

Difference in height =

= Height of Eiffel Tower in France - Height of pyramid of khagra

=1063 - 488\n= 575\text{ feet}

Thus, the Eiffel Tower in France is 575 feet taller than pyramid of khagra.

In which one of the following pairs of angles are the angles always equal to each other

Answers

Although you have not presented any choices for this question, I will proceed on discussing what the possible answer might be depending on the description you gave. The answer to this mathematical question would be vertical angles. This is because vertical angles are always equal to each other.

Which shows you how to plot (6,3) on a coordinate plane?A. Start at the origin, move 3 spaces right, and 3 spaces up.
B. Start at the origin, move 3 spaces right, and 6 spaces up.
C. Start at the origin, move 6 spaces right, and 6 spaces up.
D. Start at the origin, move 6 spaces right, and 3 spaces up.

Answers

We start with the 'x' value, which is 6.

Since it's positive we go to the right 6 times(negative will be to the left).

Now the 'y' value, 3.

Since it's positive we go 3 spaces up(negative will be down).

Therefore, our answer is D.
Origin=>(0,0) \n  \n ==>Move\:6\:spaces\:right=(6,0) \n ==>Move\:3\:spaces\:up=(6,3) \n  \nThe \:correct \:answer\: is :d \n  \n\framebox[1.1\width]{Godspeed!} \par