For what value does (1/9)^a+1=81^a+1 12^2-a?

For What Value Does (1/9)^a+1=81^a+1 12^2-a?

Answers

Answer 1

Answer:

a = -4

Step-by-step explanation:

[tex] (\dfrac{1}{9})^{a + 1} = 81^{a + 1} \cdot 27^{2 - a} [/tex]

[tex] (3^{-2})^{a + 1} = (3^4)^{a + 1} \cdot (3^3)^{2 - a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4} \cdot 3^{6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{4a + 4 + 6 - 3a} [/tex]

[tex] 3^{-2a - 2} = 3^{a + 10} [/tex]

[tex] -2a - 2 = a + 10 [/tex]

[tex] -3a = 12 [/tex]

[tex] a = -4 [/tex]


Related Questions

A bag contains 5 apples and 3 oranges. If you select 2 pieces of fruit without looking, how many ways can you get 2 apples?

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Answer:

you can feel a stem

Step-by-step explanation:

im sorry i dont know

If you vertically stretch the absolute value parent function, f(x)=|x|, by a factor of 4, which of these is the equation of the new function?

Answers

the new function when stretched: f(x)=4|x|

ummm pls help (: pls

Answers

Answer:

Hence, first one will be 1/3 and second one will be 1/6

Step-by-step explanation:

1. Let the blank space be x then,

[tex]3 \frac{2}{3} + x = 4[/tex]

[tex]x = 4 - 3 \frac{2}{3} [/tex]

[tex]x = \frac{12 - 11}{3} [/tex]

[tex]x = \frac{1}{3} [/tex]

2. Let the blank be x then,

[tex]x + \frac{2}{3} = \frac{5}{6} [/tex]

[tex]x = \frac{5}{6} - \frac{2}{3} [/tex]

[tex]x = \frac{5 - 4}{6} [/tex]

[tex]x = \frac{1}{6} [/tex]

A study is done by a community group in two neighboring colleges to determine which college graduates students with more math classes. College A samples 11 graduates. Their average is 4 math classes with a standard deviation of 1.5 math classes. College B samples 9 graduates. Their average is 3.5 math classes with a standard deviation of 1 math class. The community group believes that a student who graduates from college A has taken more math classes, on the average. Test at a 1% significance level.
A. Is this a test of two means or two proportions? Are the populations dependent or independent?
B. Are the populations' standard deviations known or not?
C. Which distribution is to be used?
D. What is random variable?
E. Hypothesis
F. Test is two tailed or one tail
G. Test value=_____.
H. Use P-value method) to reach to the conclusion.

Answers

Answer:

A) It is a test of two proportions and the populations are independent of each other

B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1

C) The distribution to be used is 1 distribution

D) The Random variable is the size of the community group

E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2

F) Test is one tailed

G) Test Value  > significance level

F) when;  P value > significance level ( 0.01 ) we do accept Null hypothesis

   when ; P value < significance level ( 0.01 ) we reject Null hypothesis

Step-by-step explanation:

College A :

sample size = 11

x ( mean ) value = 4

std = 1.5

College B :

sample size = 9

x ( mean value ) = 3.5

std = 1

A) It is a test of two proportions and the populations are independent of each other

B) The population standard deviations are known : For college A the standard deviation is = 1.5 while for College B population the standard deviation is 1

C) The distribution to be used is 1 distribution

D) The Random variable is the size of the community group

E) Hypothesis : H0 : u1 = u2 . Ha : u1 > u2

F) Test is one tailed

G) Test Value  > significance level

F) when;  P value > significance level ( 0.01 ) we do accept Null hypothesis

   when ; P value < significance level ( 0.01 ) we reject Null hypothesis

In this rectangle the base is 1 cm more than the hight

Answers

Answer:

the equation is base = height + 1

Select the correct answer.
Consider these functions:
f(x)= 1/3x2 + 4
g(x)=9x – 12
What is the value of g(f(x))?

Answers

There are step by steps explaination in the picture

raíz cuadrada de 19384​

Answers

Answer:

WHat does that mean?/

Step-by-step explanation:

Is x-6 a factor of 3x^3-16x^2-72?

Answers

Answer:

No

Step-by-step explanation:

its not because x doesn't go into all 3 coffecients (numbers) and 6 doesn't go into 3.

Answer:

no because x dosent go into all 3 coefficents (numbers) and 6 dosent go into 3

Step-by-step explanation:

1.101^3 in normal form

Answers

Answer:

The answer is 1,101.

Step-by-step explanation:

1.101 ^ 2 = 11.01

And 1.101 ^ 4 = 11,010.

If Mary has a $140 balance in her bank account before she pays a utility bill. After the bill is paid she has a new balance of and overdraft balance of (-$35). How much was the utility bill?

Answers

Answer:

I think 105......

Step-by-step explanation:

I hope I'm right and good luck

a rectangle has a length of 8m and a width of 4.5m. A parallelogram has a length of 6 m. The area of the parallelogram is twice the area of the rectangle. What is the height of the parallelogram

Answers

Answer:

12m

Step-by-step explanation:

work out the area of the rectangle then times it by 2 because the parallelogram is twice the area of the rectangle. 8 × 4.5m = 36m². 36 ×2 = 72cm². Now you do 72 ÷ 6 = 12 . the answer is 12m.

The height of the parallelogram is 12 meters.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

The area of a rectangle is given by the formula A = lw, where l is the length and w is the width.

The area of the rectangle is A1 = lw = (8 m)(4.5 m) = 36 m².

The area of a parallelogram is given by the formula A = bh, where b is the base and h is the height.

Since the area of the parallelogram is twice the area of the rectangle, we have:

2A1 = A2

2(36 m²) = 72 m²

So the area of the parallelogram is A2 = 72 m².

We are given that the length of the parallelogram is 6 m, so we can use the formula for the area to solve for the height:

A2 = bh

72 m² = (6 m)h

h = 12 m

Therefore,

The height of the parallelogram is 12 meters.

Learn more about rectangles here:

https://brainly.com/question/15019502

#SPJ3

if anyone knows the answer​

Answers

Answer:

C. (x + 8) ( x - 8)

Step-by-step explanation:

x² - 64

= x² - 8²

= (x + 8) ( x - 8)

Hope it will help :)

The answer is (x+8)(x-8)

11. Mr. Egan has 5 more students in his class than Ms. Cyrus.
Together they have 87. How many students does Ms. Cyrus have
in her class?

Answers

Answer:

Ms.Cyrus's class has 46 students

Step-by-step explanation:

If there is 877 total then I will take 5 away to get 82, then divide 82/2 and that equals 41, then add 41 to 5 and you get 46, the answer

Answer: 435 or 17.4

Step-by-step explanation:

PLEASE PLEASE PLEASE PLEASE HELP!

Answers

Answer:

x=40°

Step-by-step explanation:

x=180-75-65=40°

To complete her holiday wrapping, Bella needs identical
strips of ribbon measuring 3.5 feet each. She has 85 feet of
ribbon in total. About how many pieces of ribbon can she
cut from this long strip?

Answers

Answer:

24

Step-by-step explanation:

Answer:

The answer would be At least 20 box.

Step-by-step explanation:

i anwerd it in the lesson and got it right. Hope this helps. :)

You work as a telemarketer and need to report to your boss the percentage of your weekly calls that result in sales
If 23 of your 177 calls last week resulted in sales, approximately what percentage should you report to your boss?
07%
O 8%
13%
15%
0 23%

Answers

Take 177:23=7.6 approximately 7%

Timothy worked 9 hours and earned $7425. How much does he make per
nour at his job?

Answers

He makes 825 per hour

First to answer correctly gets brainliest

Answers

answer: 40x + 13900 < 28000

Simplify
3x- 2z+- 2z- 4z- 3z

Answers

Answer: hi

The answer will be 3x−11z

Step-by-step explanation:

have a great day ^_^

75+11(1777-S)=16,671

Answers

Answer:

s = 268.27

Step-by-step explanation:

simplify: 75+19547-11s=16671

simplify more: 19622-11s=16671

subtract 19622 on both sides: -11s=-2951

divide both sides by -11: s=268.27

expand 3(n+6)
This for the test

Answers

Step-by-step explanation:

expanded = 3n + 18

plz mark my answer as brainlist plzzzz if you find it useful ☺️.

1+1 impossible sooooooooooooo hard

Answers

Answer:

2 is my answer im sureeee

Step-by-step explanation:

1+1=1

Answer: ok so these are my guesses 1+1=11, 1+1=Window ,100+1=lol last guess 1+1=2 ldk soooooo complicated

Step-by-step explanation:

At the end of a year, the gross debt of a country stood at about $17 trillion. Express this amount
dollars per person, assuming that the population of the country is about 303 million
The gross debt is about $ per person
(Type a whole number. Round to the nearest hundred as needed.

Answers

56,105.61 is the answer rounded to the nearest hundred

Answer:

Your answer

56100 per person

Mark it as Brainlist answer. Follow me to get more answer

Step-by-step explanation:

After 4 tests,Alex average score was 65.After the 5th test his average score increased by 5 .How much did he score in his 5th test?​

Answers

Answer:

329 вот правильный ответ

What is 7a - 9> 2 (4a + 1)

Answers

Answer:

a<-11

Step-by-step explanation:

colin did the work to see if 10 is a solution to the equatio

Answers

Um okay good to know

for each ordered pair determine wheatear it is a solution to 2x

Answers

all you have to do is plug in the x and y values for each ordered pair into the left hand side of the equation and see if you get 15 = 15. If you do, the ordered pair is a solution; otherwise it is not a solution. For example, let's try (-2,-3); that is x = -2 and y = -3:

2x - 9y = 15
2(-2) - 9(-3) = 15
-4 - (-27) = 15
-4 + 27 = 15
23 = 15

This is obviously not true, so (-2,-3) is not a solution. Now you try it on each of the ordered pairs given in the problem statement.

multiply c by 9, then add 2 to the result

Answers

Answer:

9c+2

Step-by-step explanation:

7+x/5=-4whats the answer​

Answers

Answer:

-55

Step-by-step explanation:

7+x/5=-4

Subtract 7 from both sides

x/5 = -11

multiply both sides by 5

x = -55

x = -55
Hope this helps!

What is the unit fraction for each part?

Answers

0/4 and 0/2 :) hope this helps and have a great day!
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