find the value of m, if
(1/4)^2m × (1/4)^m = (1/4)^6​

Answers

Answer 1

Answer:

m = 2

Step-by-step explanation:

[tex] { \bigg( \frac{1}{4} \bigg)}^{2m} \times { \bigg( \frac{1}{4} \bigg)}^{m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ { \bigg( \frac{1}{4} \bigg)}^{2m + m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ { \bigg( \frac{1}{4} \bigg)}^{3m} = { \bigg( \frac{1}{4} \bigg)}^{6} \\ \\ \because \: bases \: are \: equal \\ \therefore \: exponents \: will \: also \: be \: equal \\ \\ \implies3m = 6 \\ \\ \implies \: m = \frac{6}{3} \\ \\ \huge \red{ \boxed{\implies \: m = 2 }}\\ [/tex]


Related Questions

The inequality 3x+2>x+8 is equivalent to:
A. x>3
B. x 32
D. x<−32

Answers

Answer:

x>3

Step-by-step explanation:

3x+2>x+8

   -2      -2

3x>x+6

-x    -x

2x>6

/2   /2

x>3

The solution of the inequality 3x+2>x+8 will be x>3. The correct option is A.


What is inequality?

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that inequality is  3x+2>x+8. The inequality will be solved as below,

3x+2>x+8

3x>x+6

2x>6

x>3

Hence, the solution is x>3.

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Are the following triangles similar to each other? If so, why?

Answers

Yes the are simailer because of SSS

A phone company charges for service according to the formula: C ( n ) = 29 + 0.04 n , where n is the number of minutes talked, and C is the monthly charge, in dollars. The slope in this equation is: ____________

The vertical intercept in this equation is: _____________

Answers

Hello!

Answer:

Slope = 0.004

Vertical Intercept = 29.

Explanation:

Basically, you can rearrange this equation so that is in the form of y = mx + b.

y = mx + b

C(n) = 0.04n + 29

The slope represents the rate of change of the cost per minute talked, and the 29 (vertical intercept) represents the monthly fee. The monthly fee will stay the same, however, the number of minutes talked is susceptible to change, hence the variable n represents it.

Evaluate each expression if k = -3, 55 - k

Answers

Step-by-step explanation:

=55-k

=55-(-3)

=55+3

=58

hope it helps.

Answer:58

Step-by-step explanation:

=55-(-3)

=55+3

=58

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help due in 30 min!!!!!!!!!!!!!!!

Answers

Answer:

They have the same slope

Step-by-step explanation:

slope=4

How many questions are in math map 7th grade

Answers

Answer:

It really depends how well you are doing. It varies from time to time. Mine was about 40-50 questions

what is 2:10 as a percentage​

Answers

Answer:

20%

Step-by-step explanation:

2:10 = 2/10. 2/10 = 20/100, which equals 20%.

An owner buys a used car for $9000. How much is the markup if the percent markup is 7%? Show your work or explain your reasoning to justify your answer.

Answers

Answer:

$9,630

Step-by-step explanation:

7% of $9000 is $630, so you just add $9000 and $630.

Which property would you use to find an equivalent expression for 9 x 10?

Answers

Answer:multiplication property of equality

Step-by-step explanation:

Answer

Multiplication property of equality

Hope this helps :) ( learned this in fifth grade btw)

Pls give me BRAINLIEST

4(-3)(-2)
How do
I do this?

Answers

Answer:

4(-3)(-2) = 24

Step-by-step explanation:

first solve the numbers in parenthesis.

4(-3)(-2)

= 4(6)

the negative sign cancels out in the product, because both of the numbers you multiplied are negative, which makes the product positive.

now solve for 4(6).

4(6) = 24

1. You notice that you only have 13 pound of cheese and 34 cup of milk. How much
more cheese and milk will you need to get?
2. What if the store only sells the cheese in 1-pound packages and the milk in 4-cup Cartoons? How many of each would u need to buy, and how much would you have left over?
3. Now you decide to mix the dry mustard and salt ahead of time to make a seasoning mix. Add the two ingredients to show how much of the seasoning mix you have.

Answers

Answer:

Yoyo

Step-by-step explanation:

help pls I need help

Answers

-14 is the answer.
Also sorry if it’s wrong

Give the ratio for tangent (0) in decimal form to 4 digits.
13
4
7.

Answers

Answer:

0.5714

Step-by-step explanation:

tan theta = perpendicular upon base that is P/B

P= 4

B= 7

P/B = 4/7 = 0.5714

The inverse of F(x) is a function.

Answers

Answer:

Step-by-step explanation:

the word inverse refers to the opposite of another operation.

The inverse of the function f is denoted by f -1.

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The system of equations y = negative 3 x + one-half and y = one-fifth x minus 1 and four-fifths is shown on the graph below.

What is a reasonable estimate for the solution?
(0.7, –1.7)
(–1.7, 0.7)
(1.4, –3.3)
(–3.3, 1.4)

Answers

Answer:

the -1,17,0.7 but if i get it wrong i can give u free points

Step-by-step explanation:

Answer:

-1,17,0.7

Step-by-step explanation:

please help look at picture

Answers

Answer:

15 cm

Step-by-step explanation:

Answer:

its C 30cm

Step-by-step explanation:

I multiplied 6x5=30

The cost to the store is $45. They will use a 35% markup. What is the selling price?

Answers

35% of $45 is $15.75
And the selling price is Cost + Markup
Therefore $45 + $15.75 = $60.75

what is the equation of the line passing through the points (-4,-7) and (8,-13)

Answers

Answer:

y=5/3x-79/7

Step-by-step explanation:

(-4, -7)

x1    y1

(8,-13)

x2   y2

y2-y1/x2-x1=

13+7/8+4= 20/12= 10/6= 5/3

y=5/3x+b

-7=5/3(-4)+b

The equation of a line passing through the points (-4,-7) and (8,-13) will be x + 2y + 18 = 0.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The given points are (-4,-7) and (8,-13).

Then the equation of a line passing through the points (-4,-7) and (8,-13) will be

[tex]\begin{aligned} y + 13 &= \dfrac{-13+7}{8+4} (x - 8)\\\\y + 13 &= - \dfrac{1}{2} (x - 8)\\\\2y + 26 &= -x + 8\\\\x + 2y + 18 &= 0 \end{aligned}[/tex]

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What is the volume of a cone with a radius of 6 inches and height of 15 inches .

Answers

Answer:

565.49 inches cubed

Step-by-step explanation:

Answer:

V = approximately 565.49 in3

please help meeeeeeright now

Answers

The answer is 4 pairs.

Think of having x number of pairs, and $4.29x for the price of those pairs. 8.58 is standalone, so we focus on writing the equation:

[tex]8.58+4.29x=25.74\\4.29x=25.74-8.58\\4.29x=17.16\\\frac{4.29}{4.29}=\frac{17.16}{4.29} (division)\\x=4[/tex]

Write value of each digit in 167.7

Answers

The 1 is 100
The 6 is 60
The first 7 is 7
The second 7 is 0.7

The place value of every digit in 167.7 is:

167.7: 1 hundreds + 60 tens + 7 ones + 7 tenths167.7: 100 + 60 + 7 + 0.7

What is place value?Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred. The place value of 7,432 is 7,000, or 7,000, however.

So, place the value of each digit of 167.7.

167.7: 1 hundreds + 60 tens + 7 ones + 7 tenths167.7: 100 + 60 + 7 + 0.7

So, the place value of each digit is shown.

Therefore, the place value of every digit in 167.7 is:

167.7: 1 hundreds + 60 tens + 7 ones + 7 tenths167.7: 100 + 60 + 7 + 0.7

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can someone help me please, i’ll give brainly. (10 points)

Answers

Answer:

Gradient of Line A: 0.75

Gradient of Line B: 0.8

Therefore the lines ARE NOT parallel.

Step-by-step explanation:

Find the gradient (slope) of line A and B respectively.

Line A Gradient:

Equation of line A is 3x - 4y = 5

Rewrite this in slope-intercept form as y = mx + b, where m is the gradient (slope).

Thus,

3x - 4y - 3x = -3x + 5

-4y = -3x + 5

Divide both sides by -4

y = ¾x + ⁵/4

The gradient = ¾ = 0.75

Line B Gradient:

Gradient of line passing through (4, 7) and (-1, 3)

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 7}{-1 - 4} = \frac{-4}{-5} = \frac{4}{5} [/tex]

Gradient (m) = ⅘ = 0.8

Since both lines do not have the same gradient, therefore the lines are not parallel.

A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?

Answers

So to find out what number 2070 is 86% of you do:
x(86/100)=2070
and solve for x.
after you solve you will get; 2407 mg
so the recommended daily amount is 2407 my

Answer:

2,407mg of sodium is the recommended daily amount

Step-by-step explanation:

Using the cross multiplication you will get the answer.

1. make the problem as a fraction   [tex]\frac{2070}{x} =\frac{86}{100}[/tex]  

2. Cross multiply (2070*100=86*x)

3. Simplify the equation left. 207000 = 86x

                                                 2407 ≈ x   (Divide both sides by 86)

Can someone give me a 6 digit number stating with 4? I need this number for a project. Also it needs to be a random number.

Answers

Answer:

406789

Step-by-step explanation:

Is 2/3 less than 2/8

Answers

Answer:

No

Step-by-step explanation:

If there is 2 pizzas and one i cut in tree slices and the other is cut in eight slices the 8 slices are goind to be smaller. Hope this helps

1. Line L passes through point (-1, 2) and (-3,-2) on a coordinate plane. Line
M passes through the points (1.1) and (-1, W). For what value of W will make
line L and line M parallel.

Answers

Answer:

Slope of a line passing through ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2} , y_{2}[/tex]) is given by:

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Now,

Slope of line L, (m) = [tex]\frac{-3-(-1)}{-2-2}[/tex] = 0.5

Slope of line M, (n) = [tex]\frac{-1-1}{W-1}[/tex] = [tex]\frac{-2}{W-1}[/tex]

If the lines L and M are parallel to each other,

m = n

or, 0.5 = [tex]\frac{-2}{W-1}[/tex]

or, 0.5 (W - 1) = -2

or, W - 1 = -4

or, W = -3

Therefore the required value of W is -3.

Solve: 33 + 27 ÷ 9 + (30 ÷ 5)

Answers

Answer:

42

Step-by-step explanation:

You need to follow P--E--M--D--A--S

                                A  X  U   I    A  U                

                                R  P   L   V   D  B

                                E  O  T    I    D  T

                                N  N  I    T    I   R

                                T  E   P    I    T  A

                                H  N  L   O   I   C

                                E  T   I    N   O  T

                                S  S  C         N   I

                                 I       A              O

                                S       T              N

                                          I

                                         O

                                         N

Two teachers purchase supplies for their classrooms.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
Each journal costs the same, and each pencil costs the same.

Answers

Answer:

Cost of One Journal =  $3.99

Cost of One pen =  $0.59

Step-by-step explanation:

Let

Cost of One Journal = x

Cost of One pen = y

We can make equation from given statements.

Mr. Bowden purchases 18 journals and 40 pencils for $95.42.

[tex]18x+40y=95.42[/tex]

Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.

[tex]11x+16y=53.33[/tex]

Now solving these equations to find the value of x

[tex]18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)[/tex]

Multiply eq(1) with 2 and eq(2) with 5

[tex]36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\[/tex]

We get the value of x is: x=3.99

Now, putting value of x in equation 1 to find value of y.

[tex]18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59[/tex]

So, we get the value of y: y = 0.59

Now, finding the costs:

Cost of One Journal = x = $3.99

Cost of One pen = y = $0.59

The graph shows the reciprocal parent function.

Which statement is true?


A. The function has no intercepts.

B. (1,1) is the x- and y-intercept of the function.

C. (0,0) is the x- and y-intercept of the function.

D. (0,1) is the x- and y-intercept of the function.

Answers

I think the answer is C

Answer:

A

Step-by-step explanation:

what does 20 times 90 equal

Answers

Answer:

1800

Step-by-step explanation:

Well the easiest way to do this is just do

9 x 2 = 18 and since in 20 and 90 there are two zeroes, add two zeroes at the end of 18!

Answer:

its equals 1,800

Step-by-step explanation:

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