20POINTS Which exponential functions have been simplified correctly? Check all that apply. f (x) = 5 RootIndex 3 StartRoot 16 Endroot Superscript x Baseline = 5 (2 RootIndex 3 StartRoot 2 EndRoot) Superscript x f (x) = 2.3 (8) Superscript one-half x Baseline = 2.3 (4) Superscript x f (x) = 81 Superscript StartFraction x Over 4 EndFraction Baseline = 3 Superscript x f (x) = three-fourths StartRoot 27 EndRoot Superscript x Baseline = three-fourths (3 StartRoot 3 EndRoot) Superscript x f (x) = (24) Superscript one-third x Baseline = 2 (RootIndex 3 StartRoot 3 EndRoot) Superscript x

Answers

Answer 1

Answer:

Options A C D

Step-by-step explanation:

doing the edge 2020 assignment right now

Answer 2

The correct answer are option (A) , (B), (C) and (D)

[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]

[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]

[tex]f(x) = 81^\frac{x}{4}[/tex]

[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given exponential functions :

[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]

[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]

[tex]f(x) = 81^\frac{x}{4}[/tex]

[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]

[tex]f(x) = (24)^\frac{1}{3}^x[/tex]

Simplification of the given exponential functions :

[tex]f(x) = 5(\sqrt[3]{16} )^x = 5(\sqrt[3]{2^3\times2} )^x = 5(2\sqrt[3]{2} )^x[/tex]

[tex]f(x) = 2.3(8)^\frac{1}{2} = 2.3(2^3)^\frac{1}{2}^x = 2.3.2(2)^\frac{1}{2}^x = 24.(2)^\frac{1}{2}^x[/tex]

[tex]f(x) = 81^\frac{x}{4} = f(x) = (3^4)^\frac{x}{4} = 3^x[/tex]

[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x = \dfrac{3}{4} (\sqrt{3^3} )^x = \dfrac{3}{4} 3^x[/tex]

[tex]f(x) = (24)^\frac{1}{3}^x = 2(2)^\frac{1}{3}^x[/tex]

Hence, the correct answer are option (A) , (B), (C) and (D)

[tex]f(x) = 5(\sqrt[3]{16} )^x[/tex]

[tex]f(x) = 2.3(8)^\frac{1}{2}[/tex]

[tex]f(x) = 81^\frac{x}{4}[/tex]

[tex]f(x) = \dfrac{3}{4} (\sqrt{27} )^x[/tex]

Learn more about Arithmetic operations here:

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Related Questions

Can somebody please help?

Answers

Answer:

A. Juan wins the race

B. At about 7 minutes J(t )= A(t)

C. 2 minutes

Step-by-step explanation:

A. Juan wins the race. This is because she covers the distance in a shorter time interval than Antonio

B. At about 7 minutes J(t )= A(t). to get this, just look at the point that the two curves intersect on the graph, and trace it down to the time axis to read off the time.

C. J(t) is greater than A(t) with about 2 minutes. To get this, we just subtract the time Juan arrived at the finish line from the time Antonio arrived, this is = 15 -13 = 2 minutes

Bob's pet snake is 10 inches shorter than three times the length of Mary's pet snake. If both their snakes laid together end to end measure 110 inches, how long is Bob's snake? Which equation would NOT solve this problem?

Answers

Answer:

The length of Bob's snake = x = 80 inches

The length of Mary's snake = y = 30 inches

Step-by-step explanation:

Let the length of Bob's snake = x

the length of Mary's snake = y

From the above question:

Bob's pet snake is 10 inches shorter than three times the length of Mary's pet snake.

x = 3 × y - 10

x = 3y - 10

If both their snakes laid together end to end measure 110 inches, how long is Bob's snake?

x + y = 110 inches

Substance 3y - 10 for x

3y - 10 + y = 110

Add 10 to both sides of the Equation

3y + y -10 + 10 = 110 + 10

4y = 120

y = 120/4

y = 30 inches

x + y = 110 inches

x + 30 inches = 110 inches

x = 110 inches - 30 inches

x = 80 inches

Hurryyyy I’m giving brainliest

Solve for n.
n/3=6

Answers

Answer:

n = 18

Step-by-step explanation:

Multiply each side by 3 to cancel out the 3 under n. It should now look like this: n = 18

I hope this helps!

Erica is hiking down a mountain. She descends at a rate of 36 feet per hour. She began the descent at 10 a.M. And finished at 6 p.M. What was her change in elevation after two hours?

Answers

Answer:

72 feet

Step-by-step explanation:

Given that:

The speed of Erica while descending down the mountain = 36 feet per hour

Time at which the descent was started = 10 AM

Time at which the descent was finished = 6 PM

To find:

The change in elevation after two hours ?

Solution:

First of all, let us learn about the relation between speed, distance and time.

The formula between speed, distance and time is given as:

[tex]Speed = \dfrac{Distance }{Time}[/tex]

Here, we are given that:

Speed = 36 feet per hour

Time = 2 hours

We have to find the Distance now.

Putting the given values:

[tex]36 = \dfrac{Distance}{2}\\\Rightarrow Distance = 36 \times 2\\\Rightarrow Distance = \bold{72\ feet}[/tex]

Change in elevation = 72 feet

Roberto wants to raise money for new equipment by selling T-shirts. He pays $5.00 for each T-shirt and needs to raise $450. If 75 students order T-Shirts, by what percent must roberto markup the T-shirts to raise $450?

Answers

Answer: Mark up percent = 20%

Step-by-step explanation:

Given: Cost price of each T-shirt = $5.00

Amount required = $450

Total students = 75

Market price for each T-shirt to raise the required amount = (Amount required ) ÷ 75

= $450 ÷ 75

= $ 6

Mark up percent = [tex]\dfrac{\text{Market price - Cost price}}{\text{Cost price}}\times100[/tex]

[tex]=\dfrac{6-5}{5}\times100\\\\=20\%[/tex]

Hence, Mark up percent = 20%

Is this a function or not, if so why? Also, please so ur work!

Answers

It’s function because non of the lines touches twice.

Answer:

Step-by-step explanation:

It's a function because no x value has two y values.

3) A hat's price was increased by 25%. If the original price was $12.00. How
much will I pay for the hat? *

Answers

Answer:

15 dollers

Step-by-step explanation:

Answer:

$15

The difference is 3 dollars

What is 320/11 pls help

Answers

Answer:

= 29.09

thats the answer

Which graph represents the solution set of the inequality x+2>6?

Answers

Answer: 2 to last

Step-by-step explanation:

Write the following ratio using two other notations. 6:7 Use only the numbers above (not any others). Notation one: Notation two: . X
what is the answer?​

Answers

9514 1404 393

Answer:

6/76 to 7   (some authors would write this "6 is to 7")

Step-by-step explanation:

The commonly used symbols for ratios are a colon or a fraction bar. Words can also be used.

  6 : 7 = 6/7 = 6 to 7

__

When the ratio is part of a proportion, then it might be written ...

  6 is to 7

as in ...

  6 : 7 :: 12 : 14 . . . . . . . 6 is to 7 as 12 is to 14

the sum of the first 20 positive odd integers

Answers

Answer:

[tex]400[/tex]

Step-by-step explanation:

[tex]We\ know\ that,\\'The\ sum\ of\ n\ no.\ positive\ odd\ integers\ is\ given\ by\ the\ formula:\\S_O=n^2\\Hence,\\Here,\\As\ n=20,\\The\ sum\ of\ the\ first\ 20\ positive\ odd\ integers=20^2=400\\[/tex]

Adam has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $24 each week to buy clothes and food. What is the maximum number of weeks that Adam can withdraw money from his account?



Please help I will mark as brilliant answer.​

Answers

Answer:

Step-by-step explanation:

if he has 500 and wants to have 200 left subtract 500-200=300

then if he spends 24 each week divide 300/24=12.5

the maximum number is 12 because cant have a remainder

at the end of the summer he would have 212 left.. 12x24=288..500-288=212

Answer:

12 weeks .

Step-by-step explanation:

24 x 12 = 288 . 24 x 13 = 312 .

500 - 288 = 212 . 500 - 312 =188 .

its 12 because if you do 13 its to below the price so you'll have some change left .

5X + 2 = 12 two step eqation can someone help

Answers

The answer for X is X=2

5x+2=12
5x=10
X=2

1.2(4x – 1) = 8x – 2


2(4x – 1) = –8x – 2

whats the solution :one , infently, or no solutions

Answers

6x

Step-by-step explanation:

1.2(4x-1)=8x-2=6x

give me the answer pleaseeeeeeeeeeeeeeerreeeeeeee

Answers

I don’t even know I did that stuff in like elementary school

5.
Find the slope.
7x- y=-4
a) -1/7
b) 1/7
c) -7
I d) 7

Answers

Answer:

D. 7

Step-by-step explanation:

Answer:

kakaakasksjnxznxccchjvgv

Step-by-step explanation:

In ΔCDE, m ∠ C = ( x − 4 ) ∘ m∠C=(x−4) ∘ , m ∠ D = ( 11 x − 11 ) ∘ m∠D=(11x−11) ∘ , and m ∠ E = ( x + 13 ) ∘ m∠E=(x+13) ∘ . Find m ∠ C . m∠C.

Answers

Answer:

<C =10°

Step-by-step explanation:

The sum of angles in a triangle is 180°. Hence,

<C+<D+<E =180

Given

<C =x-4

<D = 11x-11

<E = x+13

Substitute

x-4+11x-11+x+13 = 180

13x-2 = 180

13x =180+2

13x = 182

x = 182/13

x = 14

Get <C

Since <C = x-4

<C = 14-4

<C =10°

Answer: <C =10°

Step-by-step explanation:

Your cell phone provider charges a monthly fee of $19.50 for 200 minutes. You are also charged $.25 per minute for each minute over 200 minutes. Last month, your bill was $29.50. a. Let m represent the total number of minutes you used last month. Use the verbal model below to write an equation.

Answers

Answer:

T = $19.50 + $0.25(m - 200)

Step-by-step explanation:

Using the information provided we can create the following equation. This equation subtracts 200 from the total number of minutes and multiplies this by the cost per minute. Then it adds the fixed cost for the initial 200 minutes to get the total of the bill (T).

T = $19.50 + $0.25(m - 200)

Now that we have the equation we can plug-in you total for last month's bill and solve for m to calculate how many minutes you used last month.

$29.50 = $19.50 + $0.25(m - 200) ... distribute 0.25

$29.50 = $19.50 + $0.25m - 50  ... combine like terms

$29.50 = $0.25m - $30.5 ... add 30.5 on both sides

$60 = $0.25m ... divide both sides by 0.25

240 = m

Finally, we can see that you used a total of 240 minutes last month.

1
What is the solution to the system of linear equations graphed here?
A (0,2)
B (-2,-4)
C) No Solution
D) (-2,2)

Answers

Answer:

The solution is (-2,2)

Answer:

A) (0,2)

Step-by-step explanation:

0.2A^{1-1}

0.2A^{0} .

0.2\times 1

=0.2

Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

You can think of BF in 3 equal parts. 2 parts belong to BH and 1 part goes to HF

3x = 24

x = 24/3

x = 8

BH is twice as long as FH

BH = 2*8 = 16

 I think of a number. I take away 14. The result is 13. What number am I thinking of?​

Answers

Answer:

27 :)

Step-by-step explanation:

Answer:

27!

Step-by-step explanation:

Hi!!! People have been giving out points all day and i thought i would have a turn!! (30 points) I’ll give the crown to whoever is nicest in their answer!!! Happy holidays :)

Answers

Answer:

hi, hope you are good!, hope you have the greatst holidays ever!

Step-by-step explanation:

Answer:

aww thank you, u are too kind :) I appreciate that u are generous enough to give free points to people, I thank you for your generosity. Happy holidays and stay safe <333

Step-by-step explanation:

An airplane cover 94 miles in 1/6 of an hour

Answers

Answer:

14.16

Step-by-step explanation:

Do 1/6 of 94 and you get this answer

Chrissy ate 10% of the Christmas cookies. If she ate 6 cookies, how many Christmas cookies were left?

Answers

Answer:

If Chrissy eats 6 cookies so 54 cokies are left. .

Step-by-step explanation:

What is the distance between point A and point B?

Answers

Answer:

81

Step-by-step explanation:

Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?

Number of Games Played
20%
20%
20%
20%
20%


16
18
20
24

Answers

Answer:

I think the answer is 20

Answer:

C: 20

Step-by-step explanation:

Dana is trying to determine if an unknown sample is a pure substance or not. The sample has a cloudy white color, and it seems evenly mixed throughout. The sample is a liquid with high viscosity. Dana tried separating the sample with a magnet with no effect. When Dana filtered the sample, larger granules of the sample were left behind in the filter. What evidence allowed Dana to conclude that the sample is NOT a pure substance?

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is D= Dana filtered the sample and larger granules of the sample were left behind

Step-by-step explanation:

I got it correct ✌

An artist wants to make an elliptical sign out of a rectangular piece of wood. The wood piece has a length of 60 inches and a width of 40 inches. The artist wants to make the largest elliptical piece possible from the wood.

Answers

Answer:

Step-by-step explanation:

The question doesn't seem complete, but the question is likely to ask for 2 things: the equation of the ellipse and it's foci. So I'll respond to that. Also, the ellipse will be at the center since the artist wants the largest.

Firstly, the equation of an ellipse at the center is given by:

(x²/a²) + (y²/b²) = 1 where a > b.

Since the artist wants to make the largest ellipse, then the length of the rectangle will be the length of the ellipse, same applies to the width.

Since the length is 60, then a = 60/2 = 30

Since the width is 40, then b = 40/2 = 20

Therefore, the equation of the ellipse is:

(x²/30²) + (y²/20²) = 1

To find the foci we need to know the center and this can be gotten by

c² = a² – b²

c² = 30² – 20² = (30 + 20)(30 – 20) = (50)(10) = 500

c = √(500) = 10√(5).

The foci, since it's at th center would be:

(–10√(5), 0) and (+10√(5), 0)

The largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)

What is the equation of ellipse if its major and minor axis are given?

Suppose that the major axis is of the length 2a units, and that minor axis is of 2b units, then if major axis is on x-axis and minor axis is on y-axis, then the equation of that ellipse would be:
[tex]\dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} =1[/tex]

For this case, as we have rectangular piece of board the maximum ellipse will have it's major axis of length 60 inches, and of minor axis as 40 inches.

Thus, we have:

[tex]a = 60/2 = 30\: \rm inches\\b = 40/2 = 20 \: inches[/tex]

Thus, if the rectangle is placed such that the major axis is on x-axis, and minor axis is on y-axis, then the equation of that ellipse would be:

[tex]\dfrac{x^2}{30^2} + \dfrac{y^2}{20^2} = 1\\\\\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex]

Thus, the largest ellipse that the artist can make on the considered rectangular wooden piece will have area as: [tex]\dfrac{x^2}{900} + \dfrac{y^2}{400} = 1\\[/tex](assuming its major and minor axes lie on x and y axis respectively)

Learn more about ellipse here:
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I’ll give you brainlest if you answer this correctly

Answers

No give it to now lol

Answer:

y = -5x

Step-by-step explanation:

A direction variation equation is of the form

y = kx

The only equation of this form is

y = -5x  where the constant of variation is -5

What is true about the relationship between miles and gallons?

Answers

D.,,,,,,,,,,,,,,,,,,,,
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