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
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
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
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.
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
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
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
Hope this helps
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
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
twice the sum of j and 4
Answers
Answer:
J+4*2
Step-by-step explanation:
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
what is 3 + 7 -90+180
Answers
Answer:
100
Step-by-step explanation:
3+7=10
-90+180=90
10+90=100
what's
[tex] {3}^{4} [/tex]
Answers
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
Hope this helps
Answer:
30 is the answer hope this helps!!
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
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
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.
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
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.
Please help. Mathematics.
Answers
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
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 :)!
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:
TIMED!!
PLEASE HELP!!
WILL give brainliest
Answers
Answer:
easy third one also plz give heart
Step-by-step explanation:
i just know
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
Fill in the blanks. This is important
Answers
in ce clasa ești tu??????
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
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’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
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.