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Hitman42 [59]
2 years ago
10

Simplify

lass="latex-formula">
Mathematics
1 answer:
garik1379 [7]2 years ago
5 0

Answer:

5<em>i</em>

Step-by-step explanation:

  1. = \sqrt{-1 * 25}
  2. = \sqrt{-1}\sqrt{25}
  3. = \sqrt{-1} * 5

Rule: \sqrt{-1} = <em>i</em>

So you get <em>i  </em>* 5<em> </em>=<em> </em>5<em>i</em>

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Math workshops and final exams: The college tutoring center staff are considering whether the center should increase the number
ludmilkaskok [199]

Answer:

2. Number of workshops attended.

Step-by-step explanation:

The variable of interest for predicting the final exam score and doing regression analysis is workshop attendance.  Therefore, the response variable should be the number of workshops attended by each student.

This also agrees with what the college tutoring center staff are considering, which forms the research question: "should the center increase the number of math workshops they offer to help students improve their performance in math classes?"

3 0
3 years ago
If there are 360 grams of radioactive material with a half-life of 8 hours, how much of the radioactive material will be left af
lyudmila [28]

Answer:

There will be 22.5 grams left after 32 hours.

Step-by-step explanation:

A half-life is how long it takes for half of the amount to go away. In this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

32hrs/8hrs = 4 half lives.

Now we can raise 1/2 to the power of how many half lives we have (2). Then we multiply that by the amount in the sample.

(1/2)^4 * 360

1/16 * 360

22.5 grams

And this is an exponential function.

4 0
2 years ago
Read 2 more answers
Find the geometric mean of the pair of numbers
Svetach [21]

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

G.M. =\sqrt{ab}

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

4 0
3 years ago
Find the <br> x-intercept and <br> y-intercept of the line.
vova2212 [387]
<h3><u>The x intercept is at (-7, 0).</u></h3><h3><u>The y intercept is at (0, 1).</u></h3>

To find both the x and the y intercept, we need to solve one at a time.

For the x intercept, we need to make the value of y equal to 0, and solve for x.

-x + 7y = 7

-x + 7(0) = 7

-x = 7

Multiply both sides by -1.

x = -7

The x intercept is -7.


Now for the y intercept.

-(0) + 7y = 7

7y = 7

Divide both sides by 1.

y = 1

The y intercept is at 0, 1.

5 0
3 years ago
What is the area of a 14m by 5m rectangle?
Lisa [10]
Area=L multiply by W
14×5=70m
7 0
3 years ago
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