In a geometric sequence, the first term is 3 and the common ratio is 2. What is the sum of the first 9 terms?

Juan has a box that is filled with toys. The box is 12 inches long, 5 inches wide, and 2 1/2 inches high what is the volume of t

uysha [10]

12 x 5 x 2 1/2 12 x 5= 60 60 x 2 1/2= 150 The answer is 150

6 0

3 years ago

Is it true that ƒ −(g − h) = (ƒ − g) − h? Explain why you believe the equation is true or provide a counterexample to show that

miss Akunina [59]

Answer:

The expression is false

Step-by-step explanation:

Given

$f - (g - h) = (f - g) - h$

Required

True or False

To determine if the expression is true or false, we need to simplify both sides of the equation

$f - (g - h) = (f - g) - h$

Start by opening the bracket on the right hand side

$f - (g - h) = f - g - h$

Then open the bracket on the left

$f - g + h = f - g - h$

Subtract f - g from both sides

$f - g - (f - g) + h = f - g - (f - g) + h$

$f - g - f + g + h = f - g - f + g - h$

$f - f - g + g + h = f - f - g + g - h$

$h \neq -h$

Hence;

The statement is false

To further check;

Assume f = 5; g = 4 and h = 3

$f - (g - h) = (f - g) - h$ becomes

$5 - (4 - 3) = (5 - 4) - 3$

$5 - 4 + 3 = 5 - 4 - 3$

$2 \neq -2$

5 0

4 years ago

72 = 7 x 7 = 49 i need an answer for this question

Murrr4er [49]

Answer:

72=7×^7 -49

Step-by-step explanation:

3 0

4 years ago

Kim wants to buy a car. Help Kim compute the monthly payment on a loan, given the loan amount, the annual percentage rate of int

Assoli18 [71]

Answer:

The complete Python program to calculate the monthly payment on a loan with step by step explanation is given below.

Python Code with Explanation:

# get the loan amount from the user

LoanAmt=eval(input("Please enter the loan amount: "))

# get the annual interest rate from the user in percentage form

InterestRate=eval(input("Please enter the annual interest rate in percentage: "))

# get the number of months from the user

NumberMonths=eval(input("Please enter the number of months: "))

# convert the annual interest rate into monthly interest rate and also into decimal form according to the equation given in the question

MonthlyRate = InterestRate/1200

# implement the given equation to find out the required monthly payment, the operator (**) is used to raise to the power

Payment = (LoanAmt*MonthlyRate (1+MonthlyRate)**NumberMonths)/((1+MonthlyRate)**NumberMonths -1)

# finally, print the monthly payment

print("The monthly payment is: ", Payment)

Output:

Please enter the loan amount: 1500

Please enter the annual interest rate in percentage: 15

Please enter the number of months: 12

The monthly payment is: 135.38746851773584

Bonus:

You can use this command to limit the digits after the decimal point

For example following code will limit to 2 digits after the decimal point.

print(format(Payment, '.2f'))

3 0

3 years ago

PLEASE HELP! URGENT! I don’t know how to graph this

jekas [21]

graph (-3, 5)

because you would set it equal to 0 so it would be x + 3 = 0 then subtract 3 on both sides to get x = -3

same thing with x-5

set it equal to 0 to get y - 5 = 0 then just add 5 to get y=5

7 0

4 years ago