Find the value of m​

Find The Value Of M

Answers

Answer 1

Answer:

m = 9

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Then

[tex](\frac{1}{27}) ^{m}[/tex] × [tex](81)^{-1}[/tex] = 243 ← express all values to base 3

[tex](\frac{1}{3^3}) ^{m}[/tex] × [tex](3 ^4)^{-1}[/tex] = [tex]3^{5}[/tex]

[tex](3^-3)^{m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]

[tex]3^{-3m}[/tex] × [tex]3^{-4}[/tex] = [tex]3^{5}[/tex]

[tex]3^{(-3m-4)}[/tex] = [tex]3^{5}[/tex]

Since bases on both sides are equal, both 3 , then equate exponents

- 3m - 4 = 5 ( add 4 to both sides )

- 3m = 9 ( divide both sides by - 3 )

m = - 3


Related Questions

Solve the simultaneous equations
6x + 5y = 32
2x + 5y = 12
V =
y =

Answers

Answer: x = 5, y = 2/5

Step-by-step explanation:

We have the system of equations:

6*x + 5*y = 32

2*x + 5*y = 12

To solve it, we can start by isolating one of the variables in one of the equations.

Because in both of them we have the term 5*y, i will isolate 5*y in the second equation:

5*y = 12 - 2*x

Now let's replace it in the first equation:

6*x + (12 - 2*x) = 32

Now let's solve it for x

6*x + 12 - 2*x = 32

(6*x - 2*x) = 32 - 12 = 20

4*x = 20

x = 20/4 = 5

Now we know the value of x, we can replace it in the equation:

5*y = 12 - 2*x

to find the value of y.

5*y = 12 - 2*5

5*y = 2

y = 2/5

Then the solution of the system is x = 5, y = 2/5

Mr. Rogers wants to retile the front of his roof. The roof of a house is 8 feet tall. If each tile is 1 foot by 1 foot, how many tiles does he need to buy in order to cover the entire front of the roof?

Answers

Answer:

i do not know

Step-by-step explanation:

PLEASE HELP

Write equations for the vertical and horizontal lines passing through the point (8, -1).​

Answers

Answer:

x = 8 and y = - 1

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (8, - 1 ) with x- coordinate 8, then

x = 8 ← equation of vertical line

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (8, - 1 ) with y- coordinate - 1, then

y = - 1 ← equation of horizontal line

A middle school took all of its 6th grade students on a field trip to see a ballet at a
theater that has 3500 seats. The students filled 2835 of the seats in the theater. What
percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Answer:

81%

Step-by-step explanation:

2835 / 3500

0.81 out of 1

81%

Answer:

the answer is 1000

What is the answer to factor -8 out of -32d + 56

Answers

Answer: -8(4d-7)

Step-by-step explanation:

-32d+56=-8([tex]\frac{-32d}{-8}[/tex]+[tex]\frac{56}{-8}[/tex])=-8(4d-7)


HELP PLEASE AND THANK YOU?!!!!!!!

Answers

Answer:

1/64

Step-by-step explanation:

2/8 chance that one of them get a gift card at least $25.

Do that three times

2/8 x 2/8 x 2/8 = 1/64 (simplified it)

A is the correct answer for 1/64

Plz help due tomorrow

Answers

Sorry too hard so sorry
Answer : 19 - 6/5j

To simplify this equation you need to combine like terms, adding all numbers and adding all variables.

What is the equation of the blue line below?
HELP

Answers

Answer: Answer choice B

Mr. Burke had 40 pencil. He gave his class 1/5 of the pencils.Then he packed away 1/4 of the pencils that reminded. All the other pencil were faulty,so he threw them away. How many pencils were thrown away

Please help me

Answers

Answer:

26 pencils were thrown away.

Step-by-step explanation:

1/5 = 8/40

1/4 = 6/32

add them together 18/40

26 were thrown out

Greg bought a soft drink for 3 dollars and 6 candy bars. He spent a total
15 dollars. How much did each candy bar cost ?

Answers

Answer:

2 dollars is one candy bar

Step-by-step explanation:15-3

12/6=2

Please Help Me!!!!!!​

Answers

The answer to the question provided is 50

Answer:

its C

Step-by-step explanation:

if y is 20 then you have to use the opposite of multiplication for 2/5 which would be division  so 20 divided by 2/5 = 50

check answer by multiplying 2/5 and 50 to get 20

I need to know the answer please help me

Answers

Answer:

F: 12r+y

Step-by-step explanation:

- Why not G because if you multiple 2 by 6 and you get 12 then why not multiple the 6 too.

- Why not H because how do you get 16???

- Why not J because you don't add 2 pulse 6 to make 8 when you are supposes to multiple.

Hope this helps and sorry if wrong :)

pls help me high paying reward.

Answers

Step-by-step explanation:

In a GP, there is a common ratio between the terms.

8 / (-16/5) = 8 * (-5/16) = -2.5

-20 / 8 = -2.5

We can see that every new term is -2.5 times bigger than the previous term.

Hence to find the next term,

we multiply -20 by -2.5:

(-20)(-2.5) = 50.

Hence 50 should go into the box.

Answer:

50

Step-by-step explanation:

what is the length of a small paper clip?​

Answers

Answer: 1.375 inches

Step-by-step explanation:

Approximately 1.357 inches

can somebody help me ?

Answers

Answer:

I think it is the value of this constant is called the coefficient of proportionality

Step-by-step explanation:

The value of this constant is called the coefficient of proportionality or proportionality constant. ... Equivalently one may write x = 1k ⋅ y; that is, x is directly proportional to y with proportionality constant 1k (= xy).

what is a perimeter
say fast

Answers

In geometry, perimeter can be defined as the path or the boundary that surrounds a shape. It can also be defined as the length of the outline of a shape.

perimeter is the total length of a boundary of a figure.

Finish the chart for
y= 1/2x

Answers

Answer:

So we know that y=1/2x. So we apply this equation on each x.

x=-2, so y=1/2*-2 which is -1. so y = -1

x=0, so y = 1/2 * 0 which is 0. so y=0

x=2, so y = 1/2*2 which is 1. so y=1

Hope this helps :))

It would be -2=-1, 0=0 , 2=1

Hope this helps

Have a great day/night

pls help. i have to write it in exponential form

Answers

X × X - X × X × X × X × X + 17= X × X × X + 2

CAN U WRITE IF THEYRE POTENTIAL OR KINETIC PLZ?? I WILL MARK BRAINLIEST

Answers

Answer:

1. potential

2. potential

3. potential

4. kinetic

5. kinetic

6. kinetic

7. potential

8. kinetic

9. kinetic

10. potential

11. kinetic

12. potential

Step-by-step explanation:

What do you call the well-defined collection of objects?

Answers

Answer:

A Set

Explanation:

A set is a well-defined collection of objects called elements or members of the set.

helpppppp :((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((((9999

Answers

Answer is C and E.

All of the other ones don't follow order of operations properly.

Q3 of the numbers 5, 8, 10, 11, 12, 15, 19, 20, 20, 24, 25​

Answers

the answer is 20 ......

A line contains the point (2, 3) and has a slope of
2
What is the point-slope form of the line?
A- y - 2 = 1/2 (x-3)
B- y - 3 = 1/2 (x-2)
C- y + 2 = 1/2 (x+3)
D- y + 3 = 1/2 (x+2)

Answers

Answer:

B) y - 3 = 1/2 (x-2)

Step-by-step explanation:

y-y1=m(x-x1)

Evaluate the function.

f(x)=-4x²+19

Find f(−7)

Answers

Step-by-step explanation:

plug -7 for x into the function

f(-7)=-4(-7)²+19

f(-7)=-4(49)+19

f(-7)=-196+19

f(-7)=-177

Answer please!! :) ​

Answers

10/1
3/8
7/1
12/3
80/2
_________

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 Online Content: Site 2 What property of a rhombus is used in this proof of showing that a triangle is an equilateral triangle? (Site 1)

Answers

yes because click to review the online conscience to answer the questions below using complete sentences we’re going to view additional questions

Please help it due ASAP
Please show workings

Answers

Answer:  Choice B

Point P is located at (-2, -1.8)

======================================================

Explanation:

Refer to the diagram below. I've added point Q (2, -3) that is directly below point M, and directly to the right of point N. Right triangle MQN forms with the 90 degree angle at point Q.

The distance from N to Q is 5 units. Count the spaces or apply subtraction and absolute value to find this.

1/5 of this distance is (1/5)*5 = 1. Starting at point N, move 1 unit to the right to arrive at point A(-2,-3). Point P is directly above this point A, such that point P is on line segment MN.

In other words, point P has x coordinate x = -2. So the answer must be choice B as this is the only answer choice that has its point with x coordinate -2.

--------------------

The distance from Q to M is 6 units. Taking 1/5 of this leads to (1/5)*6 = 1.2

Start at point Q and move 1.2 units up to arrive at point B(2,-1.8). This point is on the same horizontal level as point P. So points B and P have the same y coordinate y = -1.8

The x coordinate of P is the same as the x coordinate of A(-2,-3)

The y coordinate of P is the same as the y coordinate of B(2,-1.8)

So overall, point P is located at P(-2,-1.8).

Again refer to the diagram. It shows point P directly above point A, and it shows point P on the same level as point B.

The length of segment NP is exactly 1/5 that of the length of segment NM.

We can write that as

NP = (1/5)*NM

this is equivalent to

5*NP = NM

after multiplying both sides by 5

You currently have a debt of $35. You earn and save $12 per week from your allowance. How
long will it take you to save $85?

Answers

Answer:

10 weeks

Step-by-step explanation:

12 * 3 = $36 At this point of 3 weeks you will be out of debt.

$12 * 7 weeks = $84 At  this point you will be a dollar short, but you had a dollar left over after 3 weeks. This would put you at a total of $85.

So, it would take 3 weeks to get out of debt and 7 to get up to $85.

3 + 7 = 10

A= 10 weeks

Hope this helps! :)

Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below.

Answers

Answer:

1. $927

2. The ERROR in his expression is that he used 1.015 instead of using 0.015 (1.5%).

Step-by-step explanation:

1. Calculation for What is the correct amount Vince will pay back altogether

Using this formula

A = P + PRT

Where,

A represent Amount=?

P represent Principal =$900

R represent Rate of interest= 1.5%

T represent Time=2 years

Let plug in the formula

A = $900 + $900(0.015*2)

A = $900 + $900(0.03)

A = $900 + $27

A = $927

2. Explanation of the error in in Vince’s expression.

Based on the information given the expression he used which is 900 + 900(1.015 • 2) was correct but the ERROR in his EXPRESSION is that he incorrectly used 1.015 instead of using 0.015 (1.5%).

Therefore the correct amount Vince will pay back altogether will be $927 while the ERROR in his expression used 1.015 instead of using 0.015 (1.5%).

Complete each congruency statement and name the rule you used. If you cannot show the triangles are congruent from the given information, leave the triangles blank.
PLEASE HELP I WILL MARK BRAINLEST!

Answers

Answer:

These are congruent, I used the method of mirroring to solve. A to L equals W  to K

Answer:

△ LAW ≅ WKL

By the Rule: ASA/SAA

Step-by-step explanation:

I hope this helps

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