Why can't you use the product of powers rule to simplifythis expression? Explain.


Answer 1


Because the base of this expression is not same.

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100 is 10 times much as
Which graph does NOT represent a function?
In this card game, a player is dealt 10 cards. A player wins $1,000,000 if he is dealt 8 hearts. Use combinatorics to set up your problem a. Calculate the probability a player is dealt exactly 8 hearts b. Calculate the probability a player is dealt exactly 8 hearts if the first tweo cards he was dealt were diamonds. 2
In country​ A, about five times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 39,612​, find the number manufactured in country B and the number manufactured in country A.

A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tank are thin glass which can only withstand a maximum force of 200 lb. How high (in ft) can the water reach before the sides shatter?(Assume a density of water rho = 62.4 lb/ft3.
Round your answer to two decimal places.)


The distance the in which the water will reach before it shatters will be 1.03ft


  • Let the integral run from surface (y = 0) to maximum depth (y = d)ft
  • Let the differential depth = dydt
  • The area of each depth = 6dy ft^2

The Force Acting at any Depth

Using integration, the force at any depth y is 62.4y lb/ft^3

200 = \int\limits^d_0 {62.4y} \, 6dy\n 200 = \int\limits^d_0 {374.4y} \, dy\n 200 = \int\limits^6_0 {374.4y} \, dy\n 200 = [374.4/2 y^2]_0^d\n200 = 187.2(d^2 - 0)\n200 = 187.2d^2\nd^2 = 200/187.2\nd = 1.03ft

From the calculations above, the distance in which the water will reach before it shatters is 1.03ft

Learn more on force acting at any depth;


Ivanna drove 696 miles in 12 hours. At the same rate, how many miles would she drive in 7 hours?




Step-by-step explanation:

We need to find the unit rate or how many miles can they drive in 1 hour. So we do 696/12 which is 58. So we have 58 miles in 1 hour. Now we multiply the number of desired hours, 7 and multiply it by 696. Which is 406

Which quadrant would 6,-4 be in ?




Step-by-step explanation:

Convert 100 inches per minute to feet per hour?


100 inches per minute
There are 60 minutes per hour so
100 inches per minute equals
6,000 inches per hour
there are 12 inches per foot so that converts to
500 feet per hour

your car weighs 7,630 pounds. There is a road safety fee for cars. you fee is $28 plus $0.023 per pound. What is the fee for your car?



Step-by-step explanation:

7630 x .023 = 175.49

175.49 + 28 = $203.49

Look at the set of ordered pairs.{(4, 6), (−7,−15), (13, 15), (−21, 8), (?, ?)}

Which of the following could replace the missing ordered pair to make the set not a function?

(−2, 4)
(21, 9)
(−7, 15)
(6, 8)


The ordered pair that could replace the missing ordered pair to make the set not a function is given as follows:

(−7, 15).

When does a set of ordered pairs represent a function?

A set of ordered pairs represents a function if every input (first component of the ordered pair) is associated with exactly one output (second component of the ordered pair). In other words, if no two ordered pairs in the set have the same first component but different second components.

Hence the ordered pair (-7,15) would make the relation not a function, as the set already has the ordered pair (-7,-15), in which the input 7 is already mapped to an output of -15, hence it cannot be mapped to an output of 15.

More can be learned about relations and functions at brainly.com/question/12463448