what is the solution to the equation 1/ the root of 8 =4^(m-2). 15/4 11/4 5/4 9/4 plsssss help

What Is The Solution To The Equation 1/ The Root Of 8 =4^(m-2). 15/4 11/4 5/4 9/4 Plsssss Help

Answers

Answer 1

m = 5/4 is the solution to the equation

How to find the solution to the equation?

An indices equation is an equation that relates the indices of two or more variables or functions in a mathematical expression. The indices are the exponents of the variables or functions, and the equation states the relationship between them.

The equation can be simplified as follows:

[tex]\frac{1}{\sqrt{8} } = 4^{m-2}[/tex]

[tex]\frac{1}{8^{\frac{1}{2} } } = 4^{m-2}[/tex]

[tex]8^{-\frac{1}{2} } = 4^{m-2}[/tex]

[tex](2^{3})^{-\frac{1}{2} } = 2^2^{(m-2)}[/tex]

[tex]2^{-\frac{3}{2} } = 2^2^{(m-2)}[/tex]

Equate the powers or exponents:

-3/2 = 2(m-2)

-3/2 = 2m - 4

2m = -3/2 + 4

2m =5/2

m = 5/4

The solution to the equation is m = 5/4

Learn more about indices on:

brainly.com/question/10339517

#SPJ1


Related Questions

TIMED!!

PLEASE HELP!!

WILL give brainliest

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Answer:

easy third one also plz give heart

Step-by-step explanation:

i just know

Fill in the blanks. This is important

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in ce clasa ești tu??????

how much grams are in a milligram ​

Answers

there are 1000 milligrams in 1 gram

Hope this helps

25 points and brainliest!! look at picture below.

Answers

Answer:

the volume of the cone is 1,196.92

Step-by-step explanation:

V = 1/3 x 3.14 x r^2 x h

Solve and graph the inequality. Show all your work. Upload a picture of your work.

x + 8 > 5

Answers

Answer:

x > -3

Step-by-step explanation:

x + 8 > 5

   -8   -8

    x > -3

I hope this helped you :)

1. What is the circumference of the circle
below
(18 m
C 113 m
A 36 m
B 56.5 m
D 324 m

Answers

Answer : 56.5

The formula for circumference is C = pi(d)
If the diameter was 18 all you would do is multiply 18x3.14 is would give you 56.5.

Hope it helped :)!

cuál es el siguiente número de -10​

Answers

Answer:

en los números negativos es opuesto a los positivos es decir en los positivos después del 302 ira el 303 encambio en los negativos del

-10 irá el -9

Find the slope of the line that passes through (4,-5) and (-2,9)

a -2/3
b 5/3
c-7/3
d 2
Please help me ASAP

Answers

Answer:

sorry i dont know

The answer is C
Hope this helps

Please help. Mathematics.

Answers

Step 4 cause 1.4116*800=1129.28.
step 4, so sorry if wrong!!!

Solve using substitution. x − 6y = –8 x + 6y = 16 please help imma fail

Answers

Answer:

x=−16/7

Step-by-step explanation:

happy to help ya :)

Answer:

x = 4, y = 2

Step-by-step explanation:

x - 6y = - 8 is the same as x = 6y - 8

sub that into x + 6y = 16 :

6y - 8 + 6y = 16

12y = 16 + 8

y = 2

sub that into x = 6y - 8:

x = 12 - 8 = 4

                     

twice the sum of j and 4

Answers

Answer:

J+4*2

Step-by-step explanation:

Lynn has a collection of lacrosse sticks. After selling 65% of her lacrosse sticks, she has 42 sticks left. How many lacrosse sticks did she start with?

Answers

Answer:

Starting number= 120

Step-by-step explanation:

Giving the following information:

After selling 65% of her lacrosse sticks, she has 42 sticks left.

To calculate the starting number of lacrosse sticks, we need to use the following formula:

Starting number= sticks left / proportion of sticks on stock

Starting number= 42 / 0.35

Starting number= 120

Find the value of ST:

Answers

Answer:

16

Step-by-step explanation:

It's the only one which 5x + 1 can equal, with x being 3.

Hope that helps!

What is 2/10, 2/5, and 2/20 ordered form least to greatest?

Answers

Step-by-step explanation:

2/20, 2/10 , 2/5

set them all to the same denominator of 20:

2/20, ,4/20, 8/20

what's
[tex] {3}^{4} [/tex]

Answers

QUESTION:

What is the value of 3⁴

SOLUTION:

▶️ 3⁴ = 3×3×3×3

▶️ 3⁴ = 81

ANSWER:

The value of 3⁴ is 81..

3 x 5 x 2 uygnkuhgkhgiyhbkhbkgy

Answers

The answer is 30.
Hope this helps

Answer:

30 is the answer hope this helps!!

What’s the slope and y intercept??

Answers

Answer:

The y intercept is (0,0) and the slope is 1

Step-by-step explanation:

Its (0,0) because thats where the line crosses on the y axis.  For the slope you do rise over run, you rise once and run once to the next solid point or place.

Refer to the attachment for better understanding

what is 3 + 7 -90+180

Answers

Answer:

100

Step-by-step explanation:

3+7=10

-90+180=90

10+90=100

How do I write the sum of 1 and q as an algebraic expression?

Answers

Answer:

1+Q

Step-by-step explanation:

Answer:

1 + q

Step-by-step explanation:

since sum means to add, and they give the values of 1 and q, we just need to plug it in.

Jana has $10. She wants to buy a bottle of nail polish for $9.50. The sales tax is 7%. Does she have enough money?

Answers

Answer:no, she would be 17 cents short

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

Compute the tax =

9.50 * 7% = 9.5 * .07 or 66.5 cents.

Since she only has $10, she does not have enough money.

If h(x) = x3 + x and g(x) = 2x +3, then g(h(2))

Answers

Answer:

They both equal 23 so it’s a true statement

Step-by-step explanation:

h(x) = x3 + x and g(x)

=

h(2) = 2^3 + 2

= 8 + 2

= 10

g(h(2))

= g(10)

= 2*10 + 3

= 20 + 3

= 23

2x +3, then g(h(2))

=

h(2) = 2^3 + 2 = 8+2 = 10

Now we will substitute into g(h(2)

g(h(2)) = g(10)

Now we will substitute into g(x).

g(10) = 2*10 + 3 = 23

g(h(2)) = 23

They are both equal 22 so it’s equal

Solve the following equation by using the QUADRATIC FORMULA
x2 – 5x – 12 = 0

Show how you got that answer

Answers

Answer:

x=(5+√73)/2 or x=(5-√73)/2

Step-by-step explanation:

a=1 b=-5 c=-12

x= (-b+/-√b^2-4ac)/2a

x= (-(-5)+/-√(5)^2-4(1)(-12))/2(1)

x= (5+/-√25-4(-12))/2

x= (5+/-√25+48)/2

x= (5+/-√73)/2

x=(5+√73)/2 or x=(5-√73)/2

√: This symbol represents the square root if you get confused.

During the summer, Mr. Brust does a lot of napping (and snoring)! In a typical nap, Mr. Brust will snore on average 320 times (or the ratio of naps to snores is 1 nap : 320 snores). Find the total number of times Mr. Brust snored last summer during naps in July and August if he took one nap everyday.

Answers

Answer: Mr Brust snored a total of 19,840 times last summer

Step-by-step explanation:

Mr Brust snores in the ratio of 1 nap : 320 snores or 1 nap = 320 snores

Given that he took a  nap everyday,  last summer We have that  .

For the month of July,

he had 31 naps( 31 days are in July)

Number of snores he made =31 x 320=9,920 snores

For the month of August

he also took 31 naps ( 31 days are in AugusT)

Number of snores he made = 31 x 320=9,920 snores

Therefore  Mr Brust snored a total of 9,920+ 9,920 =19,840 times

The side lengths of a triangle are 9, 12, and 18. Is this a right triangle? O A. Yes, because 92 + 122 ​

Answers

Answer:

O A. Yes, because 92 + 122 = 152

B. No, because 9 + 12 15.

C. Yes, because 92 + 122> 152.

D. No, because 92 + 122 + 15 ^2

1

SEE ANSWER

Step-by-step explanation:

4. the following are the varriables in the term 10xyz Except

5. Evaluate the given algebric expression m2 - 3m + 2 if m =3.

6.What is the value of the varriable so that the algebraic expression s2 - 16 will result to 0.

help plsss​

Answers

Answer:

Step-by-step explanation:

5. Putting value of m = 3

m2 - 3m + 2

(3)2 - 3(3) + 2

6 - 9 + 2

= - 1

The answer is -1 pretty sure

I’m stuck I need help please.

Answers

Answer:

6

Step-by-step explanation:

30+25n=90+15n

10n=60

n=6

Answer:

She would have to buy 4 personal training sessions

Step-by-step explanation:

30 + 25 + 25 + 25 (3 training sessions)

= 105

90 + 15 (1 training session)

= 105

BRAINLIEST TO WHOEVER ANSWERS FIRST!
A painter is placing a ladder to reach the third story window, which is 39 feet above the ground and
makes an angle with the ground of 80°.
How far out from the building does the base of the ladder need to be positioned? Round your answer to
the nearest tenth.
The base of the ladder needs to be positioned
feet out from the building.

Answers

Answer:

I believe it has to be placed about 8 feet from the base

Step-by-step explanation:

sorry if wrong

Justin cuts a 10-inch-long roll of cookie dough into 6 equal-length pieces. How many inches long is each piece of cookie dough? Type your answer as a mixed number in lowest terms. Use the on-screen keyboard to type the correct answer in the box.

Answers

Answer: Each piece is 1 2/3 inch length.

Step-by-step explanation:

Total length of cookie dough =10-inch

Since it is being into divided  into 6 equal-length pieces

We have that each piece will have=1 0-inch / 6 = 5/3 = 1 2/3 inch length.

Solve 3(x + 1) + 6 = 33

Answers

Answer:

3(X+1)+6=33

3x+3+6=33

3x+9=33

3x=33-9

X=24/3

X=8

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex]3(x + 1) = 33 - 6[/tex]

2) Simplify 33 - 6 to 27.

[tex]3(x + 1) = 27[/tex]

3) Divide both sides by 3.

[tex]x + 1 = \frac{27}{3} [/tex]

4) Simplify 27/3 to 9.

[tex]x + 1 = 9[/tex]

5) Subtract 1 from both sides.

[tex]x = 9 - 1[/tex]

6) Simplify 9 - 1 to 8.

[tex]x = 8[/tex]

Therefor the answer is, x = 8.

An African elephant weighed 209 lbs when it was born. Baby elephants gain an average of 38 lbs per week.

Part A

Write an equation that could be used to calculate the number of weeks, w, it would take a baby elephant to weigh 1197 lbs.

Part B

How many weeks will it take for the baby elephant to weigh 1197lbs?

Enter your equation, your answer, and your work or explanation in the space provided.

Answers

Answer:

Part A: W= (1197- 209)/ 38

Part B: 26 Weeks

Step-by-step explanation:

Part A:

We first need to subtract the 209lbs from the goal of 1197lbs. Now we have how many pounds we need to gain. Then we need to divide it by how many pounds we are gaining a week. Now we have how many weeks it will take

Part B:

W= (1197- 209)/ 38

W= 988/ 38

W= 26

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