Ellentown College had approximately 3 x 10 to the 3rd power students and Pengrove University has approximately 30,000 students. How many times as much is the number of students at Pengrove University as the number of students at Ellentown College?

Answers

Answer 1

Answer: Ellentown has 3000 students, while Pengrove has 30,000. Pengrove has ten times as many students!

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Five eighths added to Q number is 4. Determine the number.

Two sides of an isosceles triangle measure 3 inches and 13 inches respectively. Find the lenth of the third side.

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el tapo sel ki nao tamo st im ki la io ti ga om

Simonne used the following steps to simplify the given expression.12 - 3(-2x + 4)

Step 1: 12 + (–3)·(–2x) + (–3)·(4)
Step 2: 12 + 6x + (–12)
Step 3: 12 + (–12) + 6x
Step 4: 0 + 6x
Step 5: 6x

What property of real numbers was used to transition from Step 3 to Step 4?

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additive inverse property : a + (-a) = 0

Arielle is building the wooden framework for the roof of a house. She needs the angle created by the vertical and horizontal boards of the frame to be a right angle. The height of the vertical board is 12 feet. The length of the horizontal board is 15 feet. The support beam that will connect the ends of the two boards measures 20 feet.

Answers

a² + b² = c² ⇒ right triangle
a² + b² < c² ⇒ obtuse triangle
a² + b² > c² ⇒ acute triangle

a = 12 ft ; b = 15 ft ; c = 20 ft

12² + 15² = < > 20²
144 + 225 = < > 400
369 < 400 OBTUSE TRIANGLE

√369 = 19.21

20 - 19.21 = 0.79

It is an obtuse triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.

Answer:

It is b

Step-by-step explanation:

Mandy is trying to subtract 7 − 12, and she has asked you for help. How would you explain the process of solving the problem to Mandy, using a number line?

Answers

Answer:

Answer in explanation

Step-by-step explanation:

We can use a number line to explain this subtraction.

The first thing to do is to locate the number 7 on the number line. This should be located to the right of the number line.

Then, since we are subtracting, we need to count left from the position of interest. So we will count 12 integers to the left of 7.

If things are right, we would land at -5

If it was a case of addition, we will need to keep counting right from the position of origin

Answer:

-5 am sorry Dear I ca'nt sed a pic , I didn't see the option

Preparing for a visit to London, a New York resident exchanged 3,500 U.S. dollars for British pounds. (A pound is the basic monetary unit of
Great Britain.) If the exchange rate was 125 U.S. dollars for $1 British
pounds, how many British pounds did the traveler receive?

Answers

It's 28 pounds. 3,500/125 = 28 pounds.

3,500 U.S Dollars = 2072.72 British Pounds

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply.Select answers;
This function can be represented by the quadratic equation f(x)=0.15(x+60)^2
This situation can be represented by the exponential function f(x)=60 x 1.15^x
This function has no x-intercept
After 4 years the value of the investment will be $120.00
After 6 years the value of the investment will be $653.00
After 7.86 years the value of the investment will be 3 times the initial value
After 8 years the value of the investment will be $184.00

Answers

Answer: The function can be represented by the exponential function :

$f(x)=60(1+0.15)^x=60(1.15)^x$

This function has no x-intercept .

After 7.86 years the value of the investment will be 3 times the initial value .

After 8 years the value of the investment will be $184.00.

Step-by-step explanation:

The exponential growth function is given by :-

$f(x)=A(1+r)^x$ , where A is the initial value , r is the rate of growth and x is the time period.

Given: A = $60

r=15%=0.15

Now, the function can be represented by the exponential function :

$f(x)=60(1+0.15)^x=60(1.15)^x$

We know that exponential function has no intercept , thus this function has no intercept.

∴

Now, at x=4

$f(4)=60(1.15)^4\approx104.94$

Now, at x=6

$f(6)=60(1.15)^6=138.78\approx139$

Now, at x=7.86

$f(7.86)=60(1.15)^(7.86)=179.98180=3(60)$

∴ After 7.86 years the value of the investment will be 3 times the initial value

Now, at x=8

$f(8)=60(1.15)^8=183.54\approx184$

The situations can be represented by the exponential function f(x)=60x1.15^x
After 7.86 years the value of the investment will be three times the initial value (If you round to the nearest dollar)
After 8 years the value of the investment will be $184.00 (If you round to the nearest dollar)

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