MATHEMATICS HIGH SCHOOL

Will upvoteChoose the correct simplification of the expression a to the 12th power times b to the 8th power all over a to the 2nd power times b to the 4th power.

a10b4

a6b2

1 over a to the 10th power times b to the 4th power

1 over a to the 14th power times b to the 12th power

Answers

Answer 1
Answer: (a^(12)b^(8))/(a^(2)b^(4))



remember
(ab)/(cd)=a/c times b/d

also (x^(m))/(x^(n))= x^(m-n)

split it up with like terms

(a^(12))/(a^(2)) times (b^(8))/(b^(4))

do subtraction
for a's
12-2=10

b's
8-4=4

answe is a^(10)b^(4)

first one
Answer 2
Answer:

Answer:

the first one. a^10b^4

Step-by-step explanation:

i just took the test and double checked it :)

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Verify the identity. Show your work. (1 + tan2u)(1 - sin2u) = 1

Math help please!!!
**check picture below**

Answers

Simple...

(3x y^(3) )(2 x^(3)y)

3*2=6

x* x^(3)= x^(4)  (Exponents "multiplied" are added)

y^(3) *y= y^(4)

Making it...

6 x^(4)y ^(4)

Thus, the answer to your first question.

The Second One....

(x^(2) -2x-2)*( x^(2) +2x+3)

It looks hard, but it's not...break it down..

x^(2) * x^(2) = x^(4)

x^(2) *-2x=-2 x^(3)

x^(2) *2x=2 x^(3)

x^(2) *-2=-2 x^(2)

-2x*2x=-4 x^(2)

x^(2) *3=3 x^(2)

-2*2x=-4x

-2x*3=-6x

-2*3=-6

Now..FINALLY...add it up..

Making the answer to your second equation...

x^(4) -2 x^(3) +2x ^(3) -6x ^(2) +3 x^(2) -10x-6

x^(4) -3x ^(2)-10x-6.

Alicia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Based on the sample space, what is the probability of getting a total of 7?

4 over 36
5 over 36
6 over 36
8 over 36

Answers

i think the answer is 8/36 but i am not sure

I need help quick please

Answers

96 ! If you get x on one side and the # on the other you get x=96

What is the value of z so that -9 and 9 are both solution of x^2+z=103-22
3
22
184

Answers

22 because -9 and 9 squared is 81 subtract that from 103

Answer:

22

Step-by-step explanation:

What is the slope intercept form of the graph displayed?​

Answers

Answer:

y=(1)/(2)x+100

Step-by-step explanation:

Remember the formula: y=mx+b

m = the slope which is rise over run.

b = the y-intercept.

The y-intercept is at 100 (as clearly seen in the image), then do your rise over run from any 2 points displayed.

And you will see that you will count up 1 time and over to the right 2 times. That is your slope.

You decide to put $175 in a savings account to save for a $3,000 down payment on a new car. If the account has an interest rate of 3% per year and is compounded monthly, how long does it take you to earn $3,000 without depositing any additional funds?. 8.0111 years.
96.1332 years.
93.2914 years.
94.8377 years

Answers

The correct answer is:

94.8377 years

Explanation:

The formula for compound interest is

A=p(1+(r)/(n))^(nt), where A is the total amount, p is the amount of principal deposited, r is the interest rate as a decimal number, n is the number of times per year the interest is compounded, and t is the number of years.

For our problem, A = 3000; p = 175; r = 3% = 3/100 = 0.03; n = 12; and t is unknown:

Divide both sides by 175:

We will use logarithms to solve this. The base of the exponent is 1.0025, so this will be the base of the log:

\log_(1.0025)((120)/(7))=12t

Divide both sides by 12:
3 % = 0.003 : 12 = 0.0025
175 · ( 1 + 0.0025 )^(12 x) = 3,000
175 · (1.0025)^(12 x) = 3,000
1.0025^(12 x ) = 17.142857
12 x = log _(1.0025) 17.142857
12 x = 1138.0524
x = 1138.0524 : 12
x = 94.8377
Answer: D ) 94.8377 years
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