Help!
Which expression is equivalent?
On edge

Help! Which Expression Is Equivalent? On Edge

Answers

Answer 1

Answer: Choice B

[tex]x^{1/8}y^{8}[/tex]

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

Explanation:

The two rules we use are

[tex](a*b)^c = a^c*b^c[/tex]

[tex](a^b)^c = a^{b*c}[/tex]

When applying the first rule to the expression your teacher gave you, we can say that:

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]

Then applying the second rule lets us say

[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]

Therefore,

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]

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

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.


Related Questions

your monthly salary increases from $2,200 to $2,376. what percent is your raise?

Answers

Answer:

8%

Step-by-step explanation:

(2376-2200):2200x100%=8%

SOMER HELP ON GIS ONEEEE

Answers

Answer:

2 one

Step-by-step explanation:

well if u go the other way for it to go right it is mf

It is the 2nd one to the right mf

If f(x, y, z) = z sin (xy), find the rate of change of f at the point P(0, 0, 2) in the direction from P to Q(3, 0, 0)

Answers

Answer:

0

Step-by-step explanation:

We are looking for the directional derivative of f at P in the direction of PQ.

First we compute

[tex]\nabla f=\langle yz\cos(xy),zx\cos(xy),\sin(xy)\rangle\\\nabla f(0,0,2) =\langle 0,0,0\rangle[/tex]

But if we dot any vector to the zero vector we always get 0. So the rate of change is zero.

Two cylinders are similar the volume of one is 27cm^3 the volume of the other cylinder is 1331cm^3 what is the scale factor between them

Answers

Answer:

scale factor = 3 : 11

Step-by-step explanation:

Given 2 similar figures with scale factor a : b , then

ratio of volumes = a³ : b³

Here

ratio of volumes = 27 : 1331 . so

scale factor = [tex]\sqrt[3]{27}[/tex] : [tex]\sqrt[3]{1331}[/tex] = 3 : 11

Answer:

3:11

Step-by-step explanation:

I|I is an integer between 11 and 17

Answers

Yes, there is. It's 14. Hope this helps.

please answer this question​

Answers

Step-by-step explanation:

all steps are in picture

3/10 = 15/50 what is the multiplier

Answers

Answer: 5 or 5/5
3/10=15/50
3/10 x 5/5 = 15/50

Answer:

the answer is 150

Step-by-step explanation:

you will do cross multiplication where 3 will multiply 50 and 15 will multiply 10. u will get 150=150

A total of 574 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 more student tickets sold than adult tickets. How many adult tickets were sold?

411 is not correct

Answers

The answer is: 250 adult tickets were sold.

To be safe, prove that your answer is correct.

If there are 74 more student tickets than adult tickets, the amount of adult tickets must obviously be less.

Explanation:

74 more than 250, or 250+74 is 324.

250+324=574.

Now, you know the answer is correct. It satisfies all of the given conditions.

Also, note that the difference between the number of student tickets and adult tickets is 74.

So, there are 250 adult tickets and 324 student tickets.

Find - 36
.
Ο +6
-6

Ο 18

Answers

Answer:

+or-6

Step-by-step explanation:

This is a trick question. The answer would be the first choice since you're multiplying -6 by +or-6, meaning that it could still end up as a negative or a positive.

Answer:

Step-by-step explanation:

When 12x +10y is subtracted from -13x + 7y, we get

Answers

Answer:

- 25x - 3y

Step-by-step explanation:

-13x + 7y - (12x +10y)

= - 13x + 7y - 12x - 10y

= - 13x - 12x + 7y - 10y

= - 25x - 3y (Ans)

How do the fuel economies of Honda and Ford
vehicles compare in 2018? Use the drop-down menus
to complete the statements.
Shape: The distribution of fuel economy for Honda is
vand for Ford is
Outliers: There appears to be an outlier of 47 mpg for
Honda. There appears to be an outlier of 40 mpg for
Ford
Center: Fuel economy for Honda tends to be
the fuel economy for Ford.
Variability: Fuel economy for Honda varies about the
same as the fuel economy for Ford.

Answers

Answer:

1. roughly symmetric

2. skewed to the right

3. greater than

Step-by-step explanation:

correct on edge 2021 :)

1. The distribution of fuel economy for Honda is roughly symmetric vand for Ford is skewed to the right. and 3. Fuel economy for Honda tends to be greater than the fuel economy for Ford.

How to compare the fuel economies of Honda and Ford vehicles in 2018?

Shape: The distribution of fuel economy for Honda is roughly symmetric vand for Ford is skewed to the right.

Outliers: There appears to be an outlier of 47 mpg for Honda. There appears to be an outlier of 40 mpg for Ford

Center: Fuel economy for Honda tends to be greater than the fuel economy for Ford.

Variability: Fuel economy for Honda varies about the same as the fuel economy for Ford.

Learn more about Fuel economy here;

https://brainly.com/question/24212851

#SPJ2

A room has to be painted and worker A does 1/3 of the work then leaves. Next worker B does 1/4 of the remaining work and then leaves and finally worker C does 1/5 of the remaining work and then leaves.
What fraction of the room still needs to be painted?
a)3/5
b)2/5
c)13/60
d)7/15

Answers

The Answer is C 13/60
S O L U T I O N :

Here, we are given that a room is painted by A, B and C so here three of them have done the work. So, we'll add all these fractions and assume the total work as 1 after that we will substract all the added ones from 1

Let us assume the room completely painted be 1

Now,

A has done 1/3, B has done 1/4 and C has done 1/5 work of the remaining

So, let us add them

A + B + C

⅓ + ¼ + ⅕

Getting the L.C.M. The L.C.M of 3,4,5 is 60

20/60 + 15/60 + 12/60

47/60

Hence, 47/60 room has been painted

Remaining to paint

Total is assumed as 1

Work done = 47/60

Fraction of room needs to painted = 1 - 47/60

(60 - 47)/60

13/60

13/60 of the room needs to be painted, OPTION C IS CORRECT

Which statement is true about the climbers’ heights?

What is the value of a in the equation 3 a plus b equals 54, when b equals 9?

15
18
21
27

Answers

the value of a is 15

HELP Please with this question please NO LINKs OR I WILL REPORT YOU PLEASE GIVE EXPLANATION

Answers

Answer:

87/54 = m

Step-by-step explanation:

-11/6 + m = -2/9

Here is one way to solve this:

First, we can remove the fractions. We can do this by multiplying both sides by both denominators.

multiply both sides by 6

-11 + 6m = -12/9

multiply both sides by 9

-99 + 54m = -12

add 99 to both sides to isolate the m and its coefficient

-12+99= 54m

87 = 54m

divide both sides by 54 to isolate m

87/54 = m

Urgent what is the numerical answer please !!

Answers

whats the full question?

Answer:

AB slope= 4/5

CD slope= - 5/4

Step-by-step explanation:

AB: (0,-1) (5,3)

Slope= (3- -1)/(5-0) = 4/5

CD: (2,3) (6,-2)

CD slope= (-2-3)/(6-2) = -5/4

1. If a = -1 , the value of3a + 1 is ​

Answers

Answer:

[tex]f(a) = 3a + 1 \\ Now,\: a = - 1 \\ f( - 1) = 3( - 1) + 1 \\ f( - 1) = - 3 + 1 \\ \boxed{ f( - 1) = - 2}[/tex]

Therefore, -2 is the right answer.

Danny got a raise and now makes $58,965.95 a year. Round this number to the
nearest:
a) dollar
b) thousand dollars
c) ten thousand dollars

Answers

Answer:

c) ten thousand dollars

Step-by-step explanation:

Based on this equation 3/4 (8y +12) = 3y - 15, what is 2y - 3?​

Answers

Answer:

-y+5

Step-by-step explanation:

3/4 (8y +12) = 3y - 15

3(2y+3)=3y-15

2y+3=y-5

-(2y-3)=y-5

2y-3=y-5/-1

2y-3=-y+5

Answer: -19

Step-by-step explanation:

Given equation

(3/4) (8y + 12) = 3y - 15

Divide (3/4) on both sides

(REMEMBER division of fraction can be converted to multiplication by using the reciprocal of the fraction)

(3/4) (8y + 12) ÷ (3/4) = (3y - 15) ÷ (3/4)

(3/4) (8y + 12) × (4/3) = (3y - 15) × (4/3)

8y + 12 = 4y - 20

Subtract 4y on both sides

8y + 12 - 4y = 4y - 20 - 4y

4y + 12 = -20

Subtract 12 on both sides

4y + 12 - 12 = -20 - 12

4y = -32

Divide 4 on both sides

4y / 4 = -32 / 4

y = -8

Evaluate the expression basing on the [y] value

 2y - 3 ⇔ Given expression

=2(-8) - 3 ⇔ Substitute values into the expression

=-16 - 3 ⇔ Simplify by multiplication

=[tex]\boxed{-19}[/tex] ⇔ Simplify by subtraction

Hope this helps!! :)

Please let me know if you have any questions

simplify (2/3 of 21/4)

Answers

Answer: 3 1/2

Step-by-step explanation:

"Of" is the same as multiplication so,

2/3 × 21/4=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

2 × 2/13 × 4 = 42/12

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 42 and 12 using

GCF(4/2 , 1/2) = 6

4/2 ÷ 6 1/2 ÷ 6 = 7/2

The fraction

7/2

is the same as

7÷2

Convert to a mixed number using

long division for 7 ÷ 2 = 3R1, so

7/2 = 3 1/2

Therefore:

2/3 of 21/4 = 3 1/2

Hopefully, I Helped

Part A
The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.

Choose the correct formula.
A. h=Vπr2
B. h=Vπr2
C. h=Vr2π
D. h=Vπr2
Part B
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.

h =
cm

Answers

Answer:

Part A. [tex]h=\frac{V}{\pi r^2}[/tex]

Part B. h= 4cm

Step-by-step explanation:

Simplify 3 (5x-2y) +2 (4X-37)​

Answers

Answer:

3x - 6y - 74

Step-by-step explanation:

Given

3(5x - 2y) + 2(4x - 37) ← distribute parenthesis

= 15x - 6y + 8x - 74 ← collect like terms

= 23x - 6y - 74

Answer:

Distribute

3

(

5

2

)

+

2

(

4

3

7

)

{\color{#c92786}{3(5x-2y)}}+2(4x-37)

3(5x−2y)+2(4x−37)

1

5

6

+

2

(

4

3

7

)

{\color{#c92786}{15x-6y}}+2(4x-37)

15x−6y+2(4x−37)

2

Distribute

1

5

6

+

2

(

4

3

7

)

15x-6y+{\color{#c92786}{2(4x-37)}}

15x−6y+2(4x−37)

1

5

6

+

8

7

4

15x-6y+{\color{#c92786}{8x-74}}

15x−6y+8x−74

3

Combine like terms

1

5

6

+

8

7

4

15x−6y+8x−74

2

3

6

7

423x}}-6y-74

23x−6y−74

Solution

2

3

6

7

4

Step-by-step explanation:

Given f(x) = x − 7 and g(x) = x2 .

Find g(f(4)).

g(f(4)) =
]

Answers

9514 1404 393

Answer:

  g(f(4)) = 9

Step-by-step explanation:

Put the argument value where the variable is and do the arithmetic.

  g(f(4)) = g(4 -7) = g(-3) = (-3)^2

  g(f(4)) = 9

Doug dives from a platform that is 10 meters above water. His dive takes him 3.8 meters below the
surface of the water. How far does Doug's dive take him?
***
Doug's dive takes himmeters.

Answers

Answer:

13.8

Step-by-step explanation:

His dive once he hits the water and goes below the surface water line is in the same direction as his dive off the platform. That's very important when you start to consider direction. So you add. Be sure and read this paragraph again.

Dive = platform + under the surface

Dive = 10 + 3.8

Dive = 13.8

The answer is 13.8 I hope that helps

(5pg)3=125pg. Is wrong or correct

Answers

Answer:

125 p^3 g^3

Step-by-step explanation:

(5pg)^3

We know that (ab)^c = a^c * b^c

5^3 p^3 g^3

125 p^3 g^3

I need some help with the homework problem. I have a list of formulas, but can't seem to get it done.

[tex]\int\frac{9}{\sqrt{1+e^{2x}}} \, dx[/tex]

I started by taking the constant out and setting u = [tex]\sqrt{1+e^{2x\\}}[/tex]
After this I can't seem to progress.

Answers

After setting [tex]u=\sqrt{1+e^{2x}}[/tex], partially solving for x in terms of u gives

[tex]u = sqrt{1+e^{2x}} \implies u^2 = 1 + e^{2x} \implies e^{2x} = u^2 - 1[/tex]

Then taking differentials, you get

[tex]2 e^{2x} \,\mathrm dx = 2u \, \mathrm du \implies \mathrm dx = \dfrac{u}{u^2-1}\,\mathrm du[/tex]

Replacing everything in the original integral then gives

[tex]\displaystyle \int \frac9{\sqrt{1+e^{2x}}}\,\mathrm dx = \int \frac9u \times \frac u{u^2-1}\,\mathrm du = 9 \int \frac{\mathrm du}{u^2-1}[/tex]

Split up the integrand into partial fractions:

[tex]\dfrac1{u^2-1} = \dfrac a{u-1} + \dfrac b{u+1} \\\\ 1 = a(u+1) + b(u-1) = (a+b)u + a-b \\\\ \implies \begin{cases}a+b=0\\a-b=1\end{cases} \implies a=\dfrac12,b=-\dfrac12[/tex]

so that

[tex]\displaystyle 9 \int \frac{\mathrm du}{u^2-1} = \frac92 \int \left(\frac1{u-1} - \frac1{u+1}\right) \,\mathrm du \\\\ = \frac92 \left(\ln|u-1| - \ln|u+1|\right) + C \\\\ = \frac92 \ln\left|\frac{u-1}{u+1}\right| + C \\\\ = \frac92 \ln\left(\frac{\sqrt{1+e^{2x}}-1}{\sqrt{1+e^{2x}}+1}\right) + C[/tex]

When d the product of 6 and 6 is divided by the sum of 6 and 6 what is the quotient? Explain.

Answers

Hope it helps! If it is, Brainliest please!

Solve. − 18 + ( − 4 ) =

Answers

Answer:

-22

Step-by-step explanation:

-18 + (-4) = -18 - 4 = -22

Write the equation of the line that
passes through (5,-7) and (0, -1)

Answers

4,3,2,1,0,-1, -2, -3, -4,

Equation of a line can be given by :

y = mx + b

Let's find the slope of the line (m) :

[tex] \mathcal{ \hookrightarrow \: \dfrac{y_2 - y_1}{x_2 - x_1} }[/tex]

[tex] \mathcal{ \hookrightarrow \: \dfrac{ - 1 - ( - 7)}{0 - 5} }[/tex]

[tex] \hookrightarrow \: \dfrac{6}{ - 5} [/tex]

[tex] \hookrightarrow \: m = \dfrac{ - 6}{5} [/tex]

now let's solve for b :

[tex] \hookrightarrow \: y = mx + b[/tex]

Let's plug the values of x and y from the coordinates of a point .

[tex] \hookrightarrow \: - 7 = (\dfrac{ - 6}{5} \times 5) + b[/tex]

[tex] \hookrightarrow \: - 7 = - 6 + b[/tex]

[tex] \hookrightarrow \: b = - 1[/tex]

now, let's put the value of m (slope) and b (y-intercept) in the equation.

[tex] \hookrightarrow \: y = mx + b[/tex]

[tex] \boxed{ \boxed{\: y = \dfrac{ - 6}{5}x - 1 }}[/tex]

That's All, I hope it helped ya

John bought 3 pants for 25 dollars each and paid with a 100 dollar bill how much change did he get?

Answers

Answer:

He got $25 in change.

Step-by-step explanation:

Suppose the balance amount is x.

The cost of 3 pants is 3 × 25 = 75

John paid = $ 100

x = 100 – 75

x =  25

Answer:25

Step-by-step explanation:

25×3=75 then you subtract 100-75=25

Complete the following equation using <, >, or =

7 _ 24/4

A. =
B. >
C. <

Answers

Answer:

7 > 24/4

Step-by-step explanation:

7 _ 24/4

Simplify 24/4

24/4 = 6

7 is greater than 6

7 > 24/4

7 is greater than the fraction 24/4 so we use the ">" symbol between them. Hence, the complete equation is 7 > 24/4.


Comparison of two numbers involves determining the relationship between them. Here are a few possible outcomes when comparing two numbers:

1: If the first number is greater than the second number, we can say that the first number is "greater than" or "larger than" the second number.

2: If the first number is less than the second number, we can say that the first number is "smaller than" or "less than" the second number.

3: If the first number is equal to the second number, we can say that the numbers are "equal" to each other.

The given numbers are:

7 and 24/4

To compare these numbers,

Convert the fraction 24/4 into the simplest form

Therefore,

[tex]\frac{24}{4} = 6[/tex]

Now since 7 is greater than 6 so we use ">" between them.

Hence,

The complete equation will be 7 > 24/4.

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

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