Evaluate the following expression. 7^0

Answers

Answer 1
Answer: remember
x^0=1
anything to teh zero power=1
the reason is
2^3=1*2*2*3 means 3 of them
2^2=1*2*2 means 2 of them
2^1=1*2 menas 1 of them
2^0=1*no 2's means 1 of them

result is 2
Answer 2
Answer: One of the rules of exponents is that any number raised to the zero power is 1, so

7^0 = 1

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Guy decides to get in shape by running. The first day, he runs 1 mile in 12 minutes. Two months later he has decreased his mile time by 25%. What is his mile time now?

Answers

If you would like to know what is his mile time two months later, you can calculate this using the following steps:

25% of 12 minutes = 25% * 12 = 25/100 * 12 = 3 minutes

12 minutes - 3 minutes = 9 minutes

The correct answer would be 9 minutes.

Answer: 9 minutes.

Step-by-step explanation: 12-3=9.

3 x 4 = 12, 3 x 3 x 3=9, 3 x 3 x 3 x 3=12, 4+4+4=12. So if you think about it, three goes into twelve four times, just like a quarter goes into a dollar four times, or 25 goes into 100 four times. So, if you take twelve minus three and equal it, it is nine.

Solve for x in the equation x/2 = 17. A. x = 34 B. x = 8.5 C. x = 19 D. x = 15

Answers

To "remove" a divided by 2 on one side of the equation, you must multiply it by two, which means you must do it to the other side was well. So you get:

x/2=17
x=(17x2)
x=34

Therefore A is the correct answer.

Create a list of steps, in order, that will solve the following equation.(x + 3)2 – 1 = 35
Solution steps:
Add 1 to both sides
Add 3 to both sides
Subtract 1 from both sides
Subtract 3 from both sides
Take the square root of both sides

Answers

Answer:

- Add 1 to both sides

- Take the square root of both sides

- Subtract 3 from both sides

Step-by-step explanation:

Our equation here is: (x + 3)² - 1 = 35. We need to isolate the variable:

(x + 3)² - 1 = 35

First step is to add 1 to both sides:

(x + 3)² = 35 + 1 = 36

Next, take the square root of both sides:

x + 3 = √36 = 6

Finally, subtract 3 from both sides:

x = 6 - 3 = 3

The order of steps is:

- Add 1 to both sides

- Take the square root of both sides

- Subtract 3 from both sides

Answer:

Add 1 to both sides

Take the square root of both sides

Subtract 3 from both sides

x = -9, 3

Step-by-step explanation:

(x + 3)² – 1 = 35

Add 1 to both sides

(x + 3)² = 36

Take the square root of both sides

(x + 3) = +/- 6

Subtract 3 from both sides

x = 6 - 3 = 3

x = -6 - 3 = -9

A function is created to represent the amount of money in your checking account. What restrictions would be made to the range?A. The range would include all real numbers.
B. The range would only include positive integers.
C. The range would only include positive numbers.
D. The range would only include integers.

Answers

A Range of a function is defined as the set of All the output values. If a function is created to represent the amount of money in your checking account then the range will represent the amount that you have in your account at the current time.

The output of this function can be positive, negative or zero. If you draw more amount that you have in your account, than you have overdrawn the your account balance will show up as negative. 

If you have zero balance in your account, then the function have the value 0.

And in case of positive balance, the function will return a positive range. 

So, could include all Real numbers. The answer is real numbers and not integers because the account balance can also be in decimals.

Therefore, option A gives the correct answer.
The range of a certain function or a certain situation is that which includes all the reasonable numbers that may be included as answer to the given. A checking account balance can assume values that are from 0 to positive infinity, depending on the deposits and does not necessarily have to be only integers. The answer to this item therefore should be letter C.

Liam wants to buy a bicycle that costs $290.00. His parents say Liam must raise 40% of the money himself. How much money must Liam raise?

Answers

Answer:

Liam must raise $116 .

Step-by-step explanation:

Formula

Percentage = (Part\ value* 100)/(Total\ value)

As given

Liam wants to buy a bicycle that costs $290.00.

His parents say Liam must raise 40% of the money himself.

Percentage = 40%

Total value = $290

Putting in the formula

40 = (Part\ value* 100)/(290)

Part\ value = (40* 290)/(100)

Part\ value = (11600)/(100)

Part value = $116

Therefore the Liam must raise $116 .


40/100 * $290.00 is $116.00

Which angles are alternate interior angles?

Answers

Answer:

THE ANSWER IS

<UTW and <XWY

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