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2 years ago

Which pair of numbers is relatively prime?

Mathematics

1 answer:

Kazeer [188]2 years ago

3 0

Answer: C. 625 and 81

Step-by-step explanation: A relatively prime pair is a pair in which in both numbers given, the only number that can go into each number is one. In 112 and 36, we know 2 can evenly go into each number because they both end in a positive number (112/2 is 56 and 36/2 is 18.) This means A is incorrect. As for B, 11 can evenly go into each number, leaving you with 25 and 7. B is incorrect. And then there's D. 5 can go into each number giving you 160 and 19. D is incorrect.

C is correct because the only numbers that can go evenly into 81 is 1, 3, 9, 27, and 81. None of these numbers, except one can go into 625 also.

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The picture below shows a pole and its shadow:

Angelina_Jolie [31]

The answer is 112 centimeters.

As this problem represents a right triangle, here we need to apply the Pythagorean Theorem.

h = √113² - 15²
h = √12769 - 225
h = √12544
h = 112 centimeters

8 0

1 year ago

Does the inequality sing mean equals in an equasion

shtirl [24]

Here are the 4 inequality signs.

$a < b$      ---> a is less than b
$a \le b$     ---> a is less than or equal to b
$a > b$      ---> a is greater than b
$a \ge b$     ---> a is greater than or equal to b

For the second and fourth lines above, the two sides may or may not be equal.
For the first and third lines above, the two sides cannot be equal.

6 0

2 years ago

Using the function attached.<br> Find (f+G)(x)

sp2606 [1]

We have been given two functions $f(x)=-8x^3+5x^2+7x+4$ and $g(x)=8x^3-2x+3$ . We are asked to find $(f+g)(x)$ .

We will use composite function property $(f+g)(x)=f(x)+g(x)$ to solve our given problem.

$(f+g)(x)=-8x^3+5x^2+7x+4+8x^3-2x+3$

Now we will combine like terms as:

$(f+g)(x)=-8x^3+8x^3+5x^2+7x-2x+4+3$

$(f+g)(x)=5x^2+5x+7$

Therefore, the value of $(f+g)(x)$ would be $5x^2+5x+7$ .

8 0

2 years ago

Graph the equation <br> Y =1.5^x

liberstina [14]

Answer:

The number being multiplied by

is the slope of the line. So, the slope of the line is calculated by rise/run. The rise is how up or down it goes from a certain point to another, and the run is how right or left it goes from a certain point to the other.

6 0

3 years ago

Read 2 more answers

Monica deposits $300 into a savings account that pays a simple interest rate of 4.2% paul deposits $400 into a savings account t

dalvyx [7]

Answer:

Paul earned $2.6 more interest than Monica.

Step-by-step explanation:

Giving the following information:

Monica:

Initial investment= $300

Interest rate= 4.2%

Paul:

Initial investment= $400

Interest rate= 3.8%

<u>To calculate the income earned, we need to use the following formula:</u>

I= P*r*t

P= principal

r= interest rate

t= time

Monica:

I= 300*0.042*1= $12.6

Paul:

I= 400*0.038*1= $15.2

Paul earned $2.6 more interest than Monica.

7 0

2 years ago