Find the two integers, m and n,

make the equation (2x^ny2)m = 4x6y4 true.

Answers

Answer 1

Answer:

m = 2 and n = 3

Step-by-step explanation:

We want to find the value of the integers m and n that will make the given expression true

(2x^ny^2)^m = 4x^6y^4

We can rewrite the left hand side of the equation as follows;

(2x^3y^2)^2

we can proceed to use inspection to ind the value of m and n

Through inspection since the left hand side of the equation now looks like the right hand side;

Then;

m= 2 and n = 3


Related Questions

what are the solutions of the equation below
(x-2)(x+9)=0

Answers

Answer: {2, -9}

Step-by-step explanation: Think of these two binomials, x -2 and x + 9,

as two numbers that are multiplying together to equal zero.

In order for two numbers to multiply together to equal zero,

either one number or the other number must equal zero.

So for two binomials to multiply together to equal zero,

either one binomial or the other binomial must equal zero.

So we can split this problem up into two parts.

If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.

On the left, add 2 to both sides and we have x = 2.

On the right, subtract 9 from both sides and we have x = -9.

For our final answer we use set notation.

So our answer is {2, -9}.

Answer:

2 and -9

Step-by-step explanation:

x-2=0

x=2

x+9=0

x=-9

State whether the data described below are discrete or? continuous, and explain why. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. C. The data are continuous because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.

Answers

Answer:

The correct answer is:

The data are continuous because the data can take on any value in an interval. (C)

Step-by-step explanation:

Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete

Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.

Which statement is modeled by 2p + 5 < 11
Group of answer choices

The sum of 5 and 2 times p is at least 11

5 added to the product of 2 and p is less than 11

2 times p plus 1 is at most 11

the product of 2 and p added to 5 is 11

Answers

Answer: 5 added to the product of 2 and P is less than 11

The reason for this is because the inequality multiples 2 and the variable p, which is the product. Then, you have to add 5 to the product of 2p. Since the sign is opened towards the 11, this indicates that the sum of 5 and 2 times p is less than 11. Hope that helps!

Work out the value of
5^8 x 5^-2 /
5^4

Answers

Answer:

the answer is 25

Step-by-step explanation:

After simplifying the expression the final value of the expression is given by 25

What are exponents?

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here : The expression 5⁸×5⁻² / 5⁴

We know from the law of exponents, for any non-zero term a,

[tex]a^m.a^n=a^{m+n}[/tex]

Thus simplifying the expression we get

5⁸×5⁻² / 5⁴

=5⁸⁻² /5⁴

=5⁶⁻⁴

=5²

=25

Hence, The value of the expression is 25

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Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points

Answers

Answer:

The equations of the line are

y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B

y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E

Step-by-step explanation:

The point-slope form of the linear equation is

[tex]y-y1=m(x-x1)[/tex] , where

m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is  [tex]m=\frac{y2-y1}{x2-x1}[/tex]

∵ The line passes through points (-4, -7) and (3, 2)

x1 = -4 and y1 = -7

x2 = 3 and y2 = 2

→ Use the rule of the slope above to find it

∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]

The slope of the line is [tex]\frac{9}{7}[/tex]

→ Substitute the values of m and (x1, y1) in the form of the equation above

∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)

∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

→ Substitute the values of m and (x2, y2) in the form of the equation above

∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

→  Look at the answers to find the same equations

Answers B and E have the same equations

HELP HELP HELP PLEASE

Answers

Answer:

3/5 lmk if you need the work

Step-by-step explanation:

9 divided by 2,488 ??????

Answers

Answer: 0.0036173633440514 = [tex]\frac{9}{2,488}[/tex]

Answer:

00.0036173633

Step-by-step explanation:

use calculator

Please identify the common angles and sides or these triangles.

Answers

Answer:

see attached image

Step-by-step explanation:

x-7(x-2)=10x+9-x
i need the answer asap pls

Answers

Step-by-step explanation:

x−7(x−2)=10x+9−x

Step 1: Simplify both sides of the equation.

x−7(x−2)=10x+9−x

x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)

x+−7x+14=10x+9+−x

(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)

−6x+14=9x+9

−6x+14=9x+9

Step 2: Subtract 9x from both sides.

−6x+14−9x=9x+9−9x

−15x+14=9

Step 3: Subtract 14 from both sides.

−15x+14−14=9−14

−15x=−5

Step 4: Divide both sides by -15.

−15x−15=−5−15

x=13

Answer:

x=13

The velocity-time graph for a cycle is shown.
104
8
8
Velocity (m/s)
2
0
0 2 4 6 8 10 12 14 16 18 20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.

Answers

Answer:

a) 98m

b) 2m/s

Step-by-step explanation:

a) 2+4+6+8+10(8) = 98m

b) a = change/time = 8m/4s = 2m/s

not completely sure about a) so pls double check that <//3

good luck and hope this helped a bit!

The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².

How to find the area under a graph?

The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.

The velocity time graph given in the problem can be used to find the distance travelled.

The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.

This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.

Now, the total area is given as,

1/2 × b × h + l × b

= 1/2 × 4 × 8 + 8 × 10

= 16 + 80

= 96

(b) The acceleration is given as the rate change of velocity with respect to time.

The acceleration in first 4 seconds is given as,

a = (8 - 0)/4

   = 2

Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.

To know more about area of a graph click on,

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HURRY, PLEASE HELP!!!

Answers

Answer:

Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.

The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.

Input 1 2 3 4 output -10 14 18 function or not

Answers

Answer:

function

Step-by-step explanation:

no multiplying numbers

Helppppp please !!!!!​

Answers

Answer:

The answer is A) 1/8^2

Step-by-step explanation:

Both of the equations simplified equal 1/64.

Find the measure of each angle indicated

Answers

Answer:

Below

Step-by-step explanation:

1.  50

2.  40

3.  55

4.  39

5.  40

6.  92

Answer:

1. 60 deg

2. 40 deg

3. 65 deg

4. 39 deg

5. 60 deg

6. 88 deg

Step-by-step explanation:

hope this helps

On a spelling test, Lucy got 4 out of 5 correct. If Lucy got
20 questions correct, then how many quesitons did she
miss?

Answers

Answer:

4

Step-by-step explanation:

Answer:

She missed 4 questions

Step-by-step explanation:

4/5=8/10=16/20

I WILL GIVE YOU BRAINLIEST

Answers

Answer:

3 million or 3 x 10^6

Step-by-step explanation:

You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6

1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).

Answers

Answer:

y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]

Step-by-step explanation:


The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.

Answers

Answer:

103 at most and 87 at least

Step-by-step explanation:

95-8=87 seeds

95+8=103 seeds

Answer with step-by-step explanation:

Max: 25 + 3 = 28

Min: 25 - 3 = 22

Hope this helped!

Which statement is true regarding the graphed functions? ((help please :,)​

Answers

The answer is F(-2)=G(-2) . Even tho they aren’t actual coordinates on the graph they are the points where the two lines intersect

What is (7.8 x 10) • (1.0 x 10)

Answers

780.......................

780 is the answer. Hope this helps :)

Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.

Answers

Answer:

the input is the number or gallons aka b

the output is the balance in the account aka c

and the two points described are (5,442) and (13,226) aka c

Step-by-step explanation:

i did it on edge and got it right :)

Answer:

here the answer

Step-by-step explanation:

A school is planning a fundraiser with all profits going to charity. The amount of profit is found by subtracting the total cost from total ticket sales.
Ticket Sales: 200x−10x2

Event Cost: 500+20x

If x represents the price of a ticket, what ticket prices will result in a profit of $200 or more? Express your answers rounded to the nearest cent.



A
$5.69≤x

B
$5.69≤x≤$12.33

C
$3.29≤x

D
$3.29≤x≤$21.29

Please help.

Answers

The value of the x should be more than or equal to 5.69. Then the correct option is A.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

A school is planning a fundraiser with all profits going to charity.

Ticket Sales: 200x − 10x²

Event Cost: 500 + 20x

The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.

             Event cost − Total sales  ≥ Profit

         (500 + 20x) − (200x − 10x²) ≥ 200

− 200x + 10x² + 500 + 20x − 200 ≥ 0

                         10x² + 180x − 700 ≥ 0

                         10x² − 180x + 700 ≥ 0

                                  x² − 18x + 70 ≥ 0

On simplifying, we have

(x − 5.69) (x − 12.33) ≥ 0

                               x ≥ 5.69, 12.33

Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.

More about the inequality link is given below.

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TIMED TEST PLEASE HELP Find the distance between the points -5 and -3 on a number line.

Answers

Answer:

-2

Step-by-step explanation:

Answer:

(see below)

Step-by-step explanation:

You can also solve this algebraically:

–5 – (–3)

–5 + 3

–2

Since it can't be negative units between two points on a number line, you can multiply it by –1 to make it a positive number:

–2 (–1)

2 units

Or, you can use a number line. I have screenshotted a number line attached below for you.

Hopefully this helps!

Let y^4+5x=11y 4 +5x=11y, start superscript, 4, end superscript, plus, 5, x, equals, 11. What is the value of \dfrac{d^2y}{dx^2} dx 2 d 2 y ​ start fraction, d, squared, y, divided by, d, x, squared, end fraction at the point (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis?

Answers

Answer:

[tex]\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

Step-by-step explanation:

Given the expression  [tex]y^4+5x=11y[/tex], we are to find the second derivative [tex]\frac{d^2y}{dx^2}[/tex]

This differentiation will be implicit (indirect) as shown:

[tex]4y^3 \frac{dy}{dx} + 5 = 11\frac{dy}{dx} \\4y^3 \frac{dy}{dx} - 11 \frac{dy}{dx} = -5\\\frac{dy}{dx}(4y^3-11) = -5\\\frac{dy}{dx} = \frac{-5}{4y^3-11}[/tex]

Differentiating the second time using quotient rule:

[tex]\frac{d^2y}{dx^2} = \frac{4y^3-11 (0)- (-5)12y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2(\frac{-5}{4y^3-11} ) }{(4y^3-11)^2}\\\\\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

!!!BRAINY AND 10 PTS!!!

Answers

Answer:

Top left

Step-by-step explanation:

Find |x| when x = – 15.
HELP ME PLEASEE

Answers

Answer: 15

Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.

Look at the number 451,433. What place is the 5 in?

Answers

Answer:

Step-by-step explanation:

the 10,000's column

hope this helped :)

Answer:

[tex]the \: place \: of \: 5 \: is \: 50000 \: \\ i.e \: tent \: of \: thousand.[/tex]

Slove 4(5x-2)= 2(9x+3)

Answers

Answer:

x=7

Step-by-step explanation:

divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.

Answer:

x = 7

Step-by-step explanation:

Firstly, use the distributive property to distribute the 4 and the 2 respectively.

[tex]4(5x-2) = 2(9x+3)[/tex]

[tex]20x-8=18x+6[/tex]

Then, isolate the variable. Start by subtracting 18x from both sides.

[tex]2x - 8 = 6[/tex]

Add 8 to both sides.

[tex]2x = 14[/tex]

Divide both sides by 2.

[tex]x=7[/tex]

what 3+6+9
answer 4 pointss

Answers

ayo the answer is 18.

Answer:

3+6+9

9+9= 18

Therefore 3+6+9=18

A bakery sells 8 lemon poppy muffins for every 1 bran muffin sold. Which table represents the relationship between lemon poppy and bran muffins?
A
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
1616 99
3232 2525
B
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
2626 55
2828 77
C
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
2424 33
4040 55
5656 77
D
\text{Lemon Poppy}Lemon Poppy \text{Bran}Bran
88 11
2424 44
4040 66
please answer the question im sturggling .

Answers

Answer:

A 1

Step-by-step explanation:

8x11=88

1x11=11

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