9. Expand using identites.
1) (3/2 m - 5n) (3/2 m + 5n)

Answer:

(3/2 m)^2 -(5n)^2^

Step-by-step explanation:

Answer: 9m^2 / 4  -  25n^2

Step-by-step explanation:

Use the identity: (a-b)(a+b)=a^2 - b^2
substitute values of a and b, where a=3/2m and b=5n.
The following simplifies to (3/2m)^2 - (5n)^2.

A special filter can process 34 gallon of liquid in 25 minutes. If the filter processes a liquid at a constant rate, what is the rate in gallons per hour that the filter processes the liquid?


Give your answer in fractional form.

Measurements of atoms, such as amounts, distances, and weights, are often very large or very small when compared to measurements of things you can see or touch. Scientific notation represents numbers as a power of 10. This makes very large or small numbers easier to use and understand. Approximately 7,500,000,000,000 carbon atoms fit across the period that you make with your pencil. Express this number in scientific notation. (PLEASE ANSWER FAST I'LL GIVE BRAINLIEST ALSO PLEASE DO ALL THIS IS WORTH 30 POINTS)


Step 1 Rewrite the number with a decimal after the first nonzero digit.7.500000000000


Step 2 Find the number of places and the direction you moved the decimal. If a number does not show a decimal, the decimal is at the right end of the number.You moved the decimal 12 places to the left.


Step 3 Drop the zeros, and write the number of places you moved the decimal as a power of 10. If you moved the decimal to the right, the power is negative. If you moved the decimal to the left, the power is positive.7.5 × 10 12


Step 4 Reverse the process to change scientific notation back to a whole number. A positive power of 10 moves the decimal to the right. A negative power of 10 moves the decimal to the left.


(Answer 1, 2, 3, 4 and 5 )


1. A sample of gold contains 3,800,000,000,000,000,000 atoms. Express this number in scientific notation.


2. A sample of silver contains 400,000,000,000,000 atoms. Express this number in scientific notation.


3. A sample of carbon has a mass of 0.000000000000000000034 kg. Express this mass in scientific notation.


4. A sample of silicon contains 5.23 × 10^11 atoms. Write this amount as a whole number.


5. The mass of a proton is about 1.67 × 10 -27kg. Write this mass as a whole number

Cab rides from Brooklyn to Manhattan are usually around $20. Today it cost me $24. Cab rides from Brooklyn to Boston are usually around $140. Today it cost me $144. Which statement is true about the relative error of each cab ride?


A. The relative error of the cab ride to Manhattan is greater than that of the cab ride to Boston.
B. The relative error of the cab ride to Boston is greater than that of the cab ride to Manhattan.
C. The relative error is the same for both cab rides.
D. There is not enough information to solve this question.

question ^^^^^^^^^^^^^^^^6

07.01)

Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29? (4 points)
a. {4, 5, 6}
b. {3, 4, 5}
c. {3, 4}
d. {3}

who ever gets this first will get a brainlest

HELP WILLL GIVE BRAINBLEST

do any of y'all know how to do this I'm so confused and I need help ​plz

plz help Jumpin' Dolphin Boat Tours takes tourists into the Gulf of Mexico to see dolphins. Tourists buy tickets and pay extra for tour pictures. The total price for t tickets and p pictures is 10t+5p dollars. The Kelley family went on a tour this afternoon. They bought 4 tickets and 3 pictures.
What was the total cost of the Kelley family's tour?

if there are 28 centimeters and 2 centimeters = 3 meters, how many meters do you have

The number y of Northern Rocky Mountain wolf breeding pairs x years since 1995 can
be modeled by y = 0.34x^2+ 3.0x + 9 When were there about 30 breeding pairs?
***no links or i’ll report***

Pls help need help ASAP 50 points you will be reported if the answer is wrong

Can sum1 help me with this pls

Find the area of this circle. Use your calculators value of pi. Round answers to the nearest tenths place.

3. Write the following as an algebraic expression: Twice the cube of z .4. Write the following as an algebraic expression: The quotient of the sum of x plus 4 and 2

Jennifer's family loves to drink iced tea mixed with lemonade in the summer. Yesterday, Jennifer mixed 4 ounces of lemonade and 8 ounces of iced tea in a tall glass for herself. Then, she made another pitcher to share with 8 ounces of lemonade and 24 ounces of iced tea. Did the glass and the pitcher have the same ratio of lemonade to iced tea?

PPPPPPPPPPLLLLLLLLLLlEEEEEEAAAAAASSSSSSEEEEEE HHELP

please help!! i’m having trouble on this question . please be serious , no links or points will be taken away. thank you!! giving BRAINLEST IF EXPLAINED!!

How can you write the equation for a linear function if you know only two ordered pairs for the function?
Select the following options to complete the explanation. These options may be used once, more than once, or not at all.

Options: b, m, two ordered pairs, one set of ordered pairs

Use the two ordered pairs to find the slope, _____.
Then substitute the slope, and _________ into y=mx+b to solve for ____.

Sandra waits tables at Polly's Tamales. While she is working, she receives a discount on any food she buys. If an item normally costs d dollars, Sandra can buy it for 2/3
d dollars. Last night at work, Sandra bought a taco salad that normally costs $9.
What price did Sandra pay for the taco salad?

PLEASE HELP ME WITH THE QUESTION IN THE PICTURE BELOW

Find the area of the trapezoid below.

40 points!! please do not plagiarize, I need this to be original :D
Erik is performing a marble experiment in math class. His teacher places an equal number of black, red, and white marbles in a bag. Then, Erik randomly takes out a marble, records the result, and puts the marble back in the bag. Each of the first four times Erik takes out a marble, he gets a black marble.

A. What is the theoretical probability of Erik picking a black marble next time? Based on Erik's results, what is the experimental probability of Erik picking a black marble next time?
B. Explain the difference between the two probabilities you found in part A.
C. What is the theoretical probability and likelihood of getting four black marbles in a row?

The table and scatter plot show the total weight for
quart containers of strawberries at Marty's Market.
PLS ANSWER FAST

PLS PSLS PLSS ASWER MEEEEE ASNNWER THIS QUESTION THEN READ THE STORY2. If the lions ever outnumber the wildebeest on either side of the river (including the animals in the boat if it's on that side), they'll eat the wildebeest.

THE STORY There are three lions and three wildebeests stuck on the river bank which is on fire. It is your job to save the animals. How do three lions and three wildebeests cross over to the safe river bank on the other side of a crocodile-infested river to escape the flames? There’s a raft! But there are a few rules that must be followed in order to solve the puzzle:

I need help with question 12

heyyy, please answer :]

plzzzzz help me!!!!!

The price of a DVD is $24.00 plus 8.25% sales tax. What is the sales tax on the DVD in dollars and cents?
HELP

sisters homework i dont want to do it lol 2 questions
First slide question 1
second slide question 2

Ballio's family traveled 2/7 of the distance to his uncle’s house on Saturday. They traveled 2/5 of the remaining distance on Sunday. What fraction of the total distance to his uncle’s house was traveled on Sunday?