Translate the expression with rational exponents. Simplify if necessary

Translate The Expression With Rational Exponents. Simplify If Necessary

Answers

Answer 1

Answer: 27

Step-by-step explanation:

The expression given is inside a cube root. This is a simplified version of a fractional exponent, 1/3.

We can take the expression outside of the radical to get this:

3 ^ 9 ^ (1/3)

When an exponent is raised to another exponent, multiply the exponents and keep the base the same:

3 ^ (9 * 1/3)

3 ^ 3

The expression is equal to 27.


Related Questions

please help me, someone!

Answers

Answer:

76.275

Step-by-step explanation:

First - the entire circles area is 78.54. [tex]\pi r^{2}[/tex] with r being 5

6 triangles of that size could fit in that circle.

A=3[tex]\sqrt{3}[/tex]/(2) * a2

The area of that would equal 64.95

78.54-64.95 = 13.59

then divide that number by 6

which is 2.265.

Take that number from the original 78.54

78.54-2.265 = 76.275

Consider the triangular pyramids shown. Pyramid 1 Pyramid 2 Pyramid 1 has 4 triangular sides with areas 44 meters squared, 62 meters squared, 24 meters squared, and 55 meters squared. [Not drawn to scale] Pyramid 2 has 4 triangular sides with areas 24 meters squared, 56 meters squared, 33 meters squared, and 14 meters squared. [Not drawn to scale] Pyramid 3 Pyramid 4 Pyramid 3 has 4 triangular sides with areas 26 meters squared, 60 meters squared, 31 meters squared, and 10 meters squared. [Not drawn to scale] Pyramid 4 has 4 triangular sides with areas 30 meters squared, 44 meters squared, 32 meters squared, and 15 meters squared. [Not drawn to scale] Which has the least lateral area? (Recall the formula for the area of a triangle, A = one-half b h) Pyramid 1 Pyramid 2 Pyramid 3 Pyramid 4

Answers

Answer:

c

Step-by-step explanation:

Answer:

Cc

Step-by-step explanation:

Find the distance between (-10,-7),(-8,1)

Answers

Answer:

6.325

Step-by-step explanation:

A can of soup has a radius of 6 inches and a height of 10 inches. How much soup can fill the can if it is filled to the top? Place your answer in terms of pi.

Answers

A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.

Formula for the volume of a cylinder: V = pi x r^2 x h

V = pi x 6^2 x 10

V = pi x 36 x 10

V = 360pi inches^3

Hope this helps! :)

Change 125 mm into centimetres.

Answers

Answer:

12.5 cm

Step-by-step explanation:

divide 125 by 10 to get 12.5

Answer:

12.5 cm

Step-by-step explanation:

10 mm=1 cm

so 125 mm=125:10 cm=12.5 cm

How do you write 5.58 x 10-3 in standard form?

Answers

Answer:

0.00558

Step-by-step explanation:

Find the total surface area of the composite figure. (It’s not 96)

Answers

Answer:

I did the math, and believe it could be 60(pi)

Reasoning:

Cone: T.A. = (pi)rl + (pi)r^2

Cylinder: Total Area: T.A. = 2(pi)rh + 2(pi)r^2

(pi)rl + (pi)r^2 + 2(pi)rh + 2(pi)r^2 = TA   (_____ = delete, because they will be within the figure)

(pi)rl + 2(pi)rh + (pi)r^2 = TA

It can't be  

24 or 9, because they are too small, and you said it can't be 96.

-Sorry if this isn't the best. I am a Geometry student as well.

Ashley's cell phone costs $5 per month plus 10 cents per minute. Her friend's costs $3 per month plus 15 cents per minute. For what amount of talking time will the cost of these plans be the same?

Answers

Answer:40 min

Step-by-step explanation:

5+.10x=3+.15x

-.10. -.10

5= 3+.05x

-3. -3

2=.05x

Divide by .05

X=40

Which of the following is the factored form of the goven equation? 6x² + 2x - 8 = 0

A. 2(3x+4)(x+1) = 0
B. (6x+1)(x-8)=0
C. 2(3x+4)(x-1)=0

Answers

Answer:

C

Step-by-step explanation:

6x^2 + 2x - 8

Multiply the (6) to the -(8) to get x^2 by itself.

x^2 + 2x  - 48

Solve -

(x-6)(x+8) = x^2 + 2x  - 48

However, you must divide out the (6) you multiplied.

(x-6/6) =

(x-1)

(x+8/6) =

(3x + 4)

Therefore, 2(3x + 4)(x-1) is your answer.

EDIT - At the beginning of the equation it is possible to divide (2) out of the equation, this is where the (2) at the end comes from.

Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top and bottom. The triangle prism and the piece of cardboard that he used are show below. What is the area of the piece of cardboard?

Answers

This question is incomplete because it lacks the attached diagram.

Find attached to this answer the appropriate diagram

Answer:

500 square centimeters

Step-by-step explanation:

From the question above, we are told that the top and bottom of the triangular prism is open.

Hence, the area of the piece of the cardboard is = Lateral Surface Area of the triangular prism

The formula for Lateral Surface Area of a Triangular Prism = Perimeter of the Triangular prism × Height of the Triangular prism.

Perimeter of the Triangular prism = Side a + Side b + Side c

Where Side a = 9cm

Side b = 9cm

Side c = 7 cm

Perimeter of the Triangular prism = 9cm + 9cm + 7cm

= 25cm

Height of the Triangular prism = 20cm

The Lateral Surface Area of the Triangular prism = 25cm × 20cm

= 500cm² or 500 square centimeters.

Since we are told that Lateral Surface Area = Area of the cardboard,

The Area of the cardboard = 500 cm² or 500 square centimeters.

Factor the quadratic expression x2−13x−48.

Please enter your answer in the box below.

Answers

Answer:

(x-16)(x+3)

Step-by-step explanation:

Corinne made a deposit of $6,000 into an account with a simple interest rate of 5%. How much interest will be in the account after 8 years?

Answers

Answer:

$8,864.73

Step-by-step explanation:

Base amount: $6,000.00

Interest Rate: 5% (yearly)

Effective Annual Rate: 5%

Calculation period: 8 years

Complete the sentence.
Twenty-four is____
a0% of 80

HELP

Answers

Answer:

the answer is 30%

Step-by-step explanation:

24/80 = 0.3 or 30%

A farmer sells 8.8 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market

Answers

Answer:

5.28 kg

Step-by-step explanation:

A farmer sells 8.8 kilograms of pears and apples at the farmer's market and 2/5 of this weight is pears.

Since a fraction is a part of a whole, 1, then, the fraction repressing the weight of the apples is:

1 - 2/5 = 3/5

Therefore, the weight of apples is/

3 / 5 * 8.8 = 5.28 kg

She sold 5.28kg of apples at the farmer's market.

Thank you so very much for helping

Answers

Answer:

Angle 2

Step-by-step explanation:

They are 90 degrees when added together

Answer:

<2

Step-by-step explanation:

Complementary angles add to 90 degrees ( form right angles)

<1 and <2 add to 90 degrees so they are complementary angles

The perimeter of a rectangular garden is 48.8 feet it’s length is 12.4 what is it’s width

Answers

Answer:

12 feet

Step-by-step explanation:

Perimeter=l+l+w+w

48.8=12.4+12.4+2w

48.8=24.8+2w

2w=24, w=12 feet

square root of 125 to the power of 3

Answers

Answer:

1397.54248594

Step-by-step explanation:

I am glad you asked!First we need to write square root for our equation.Then we need to do 125[tex]^[/tex]^3.We then need to put all this together.We get square root 125[tex]^[/tex]^3.It equals 1397.54248594.

The solution of expression is,

⇒ 1404.9

We have to give that,

An expression is,

''square root of 125 to the power of 3''

Now, It can be written as,

⇒ ( √125 )³

⇒ [tex]125^{3/2}[/tex]

⇒ (11.2)³

⇒ 11.2 × 11.2 × 11.2

⇒ 1404.9

To learn more about the Number system visit:

https://brainly.com/question/17200227

#SPJ6

HELP ME I DON'T UNDERSTAND THIS :(

Answers

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AD}{WZ}[/tex] = [tex]\frac{CD}{YZ}[/tex] , substitute values

[tex]\frac{10}{46}[/tex] = [tex]\frac{5}{YZ}[/tex] ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

Find the exact length of the third side.
4
2

Answers

Answer:

Step-by-step explanation:

4-2<x<4+2

2<x<6

x = 3, 4  or 5

i assume u r talking about triangle

you earn $56 for mowing 7 lawnes. How much do you make 12 lawns

Answers

Answer:

$96

Step-by-step explanation:

56/7=x/12

8=x/12

8*12=x

x=96

Can anyone solve this questions?
Will mark brainliest.

Answers

Answer:

CD player X

Step-by-step explanation:

In this question we are asked to compare 3 CD prices to each other and see which one is the cheapest. We will need to use something called decimal multipliers for this question. We will work out the price of each CD player and then analyse after that. To work out the decimal multipliers for decrease question you have minus 100 and then divide by 1 hundred.

CD player X

→ A price of 1500 and 20% off

⇒ Work out the multiplier with the 100 and then divide by a hundred

→ 100 - 20 = 80   →   80 ÷ 100 = 0.8 So the decimal multiplier is 0.8

⇒ Now multiply the price by the decimal multiplier

→ 1500 × 0.8 = 1200

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

CD player Y

→ A price of 2000 and 30% off

⇒ Work out the multiplier with the 100 and then divide by a hundred

→ 100 - 30 = 70   →   70 ÷ 100 = 0.7 So the decimal multiplier is 0.7

⇒ Now multiply the price by the decimal multiplier

→ 2000 × 0.7 = 1400

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

CD player Z

→ A price of 1800 and 25% off

⇒ Work out the multiplier with the 100 and then divide by a hundred

→ 100 - 25 = 75   →   75 ÷ 100 = 0.75 So the decimal multiplier is 0.75

⇒ Now multiply the price by the decimal multiplier

→ 1800 × 0.75 = 1350

We can see the CD player X is the one that saves the most money

Answer:

Therefore, the CD player X is worth buying, since it only costs 1,200.

CD player X: 1,200

CD player Y: 1,400

CD player Z: 1,350

Step-by-step explanation:

Formula:

discount amount/original price = discount%/100%

For CD player Z:

discount amount = x

original price/regular price = 1,800

discount% = 25%

For CD player Y:

discount amount = x

original price or regular price = 2,000

discount% = 30%

For CD player X:

discount amount = x

original price or regular price = 1,500

discount% = 20%

______________________________

For CD player Z

x/1,800 = 25/100

x ⋅ 100 = 25 ⋅ 1,800

100x = 45,000

100x/100 = 45,000/100

x = 450

For CD player Y

x/2,000 = 30/100

x ⋅ 100 = 30 ⋅ 2,000

100x/100 = 60,000/100

x = 600

For CD player X

x/1,500 = 20/100

x ⋅ 100 = 20 ⋅ 1,500

100x = 30,000

100x/100 = 30,000/100

x = 300

_________________________

Formula:

Sale price = original price - discount

For CD player Z: 1,800 - 450 = 1,350

For CD player Y: 2,000 - 600 = 1,400

For CD player X: 1,500 - 300 = 1,200

a shirt shop order 1500 shirts. People only bought 1275 t-shirts. what percent of the tshirts were not sold

Answers

Answer:

0.15

Step-by-step explanation:

The total amount of shirts not sold is 225 shirts. The percent of shirts not sold is 225 divided by the total number of t shirts which is 1500. 225/1500 is 0.15. So 0.15 percent of the shirts were not sold.

Hope this helps! (Please mark as brainliest)

The circles at the right are congruent. Which conclusion can you draw?
A. Angle AEB = Angle QUR
B. Angle CED = Angle SUT
C. CD = ST
D. Arc BD = Arc RT

Answers

Answer:

C. CD=ST

Step-by-step explanation:

The conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR

Congruent circles

From the question, we are to deduce which of the given options is correct

From the given information, the circles are congruent

Congruent circles have the same or equal radii

As indicated in the diagram,

Arc AB = Arc QR

Since, the radii of the two circles are equal and the arcs (arc AB and arc QR) are as well equal, their central angles must be equal

Angle AEB = Angle QUR

Hence, the conclusion we can draw from the given diagram is Angle AEB = Angle QUR. The correct option is A. Angle AEB = Angle QUR

Learn more on congruent circles here: https://brainly.com/question/12044225

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Round to nearest hundreth

Answers

Answer: The answer is 33.69!

Step-by-step explanation: When performing trigonometric problems it is important to pay attention to all of your sides even when you are finding a missing angle. The sides will show you which of the sides to divide over the other, and which equations to perform. In this case the number 6 is opposite of the missing angle and the number 9 is the adjacent or “right next to.” Hence, you are left with the Opposite side and the adjacent since the Hypotenuse is unused in this problem due to it being unlabeled. So 6 divided by 9 times the opposite of tangent which is Tan^-1 or on a basic calculator you would do the division first and then press the second key or secondary operations key. Then there will be a number in which shows you the exact angle in which you were missing.

Also learning the terms “SOH” “CAH” and “TOA” will help you exponentially when trying to find the equations to use. SOH: also known as Sine - is opposite over hypotenuse due to its alphabetical placement. Along with Cosine - adjacent over hypotenuse and Tangent which was the case of this triangle - opposite over adjacent.

You are working for a company that creates tubes that measure 10 cm long and have a diameter of 6 cm. The tubes need to be cut just right. The company fired all of its math people so they do not know how to calculate the size of the tube needed. Please calculate the surface area needed for the tube. Use 3.14 for pi. *

Answers

Answer:

[tex] A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2[/tex]

And replacing the value of [tex]\pi =3.14[/tex] we got:

[tex] A = 78*3.14 cm^2= 244.92 cm^2[/tex]

Step-by-step explanation:

For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:

[tex] r = \frac{D}{2}= \frac{6cm}{2}= 3cm[/tex]

And the surface area for a cylinder is given by this formula:

[tex]A= 2\pi r^2 +2 \pi rh[/tex]

And replacing the info given we got:

[tex] A= 2\pi (3cm)^2 +1 2\pi (3cm)(10 cm)= 18 \pi + 60\pi = 78 \pi cm^2[/tex]

And replacing the value of [tex]\pi =3.14[/tex] we got:

[tex] A = 78*3.14 cm^2= 244.92 cm^2[/tex]

Solve for x, 17x > -17

Answers

Answer:

x = -1

Step-by-step explanation:

17x > -17, Divide both sides by 17

17x / 17 > -17 / 17

x > -1

The total surface area of a cube is 114 in.² what is the length of each side of the cube? It is __ in

Answers

Answer:

16

Step-by-step explanation:

You need to find the answer

What characteristics are true for all linear, exponential and quadratic functions
A
The range of the function is all real numbers,
B
The graph of the function has no intercepts
c) The graph of the function is always increasing
D) The domain of the function is all real numbers
E) The graph of the function has multiple wintercepts

Answers

Answer:

D) The domain of the function is all real numbers

Step-by-step explanation:

asdasdasdasdasd

A wave has a wavelength of 20 meters and a speed of 80 meters/second. What is the hertz of the wave ?

Answers

Answer:

4 Hz

Step-by-step explanation:

Formula: frequency = velocity/wavelength

f = 80/20

f = 4

x/4+9=15 I'm doing a math assignment.

Answers

Answer:

x = 24

Step-by-step explanation:

x/4+9=15

Subtract 9 from each side

x/4+9-9=15-9

x/4 = 6

Multiply each side by 4

x/4*4 = 6*4

x = 24

Answer:

[tex]x = 24[/tex]

Step-by-step explanation:

[tex] \frac{x}{4} + 9 = 15 \\ \\ \frac{x}{4} = 15 - 9 \\ \frac{x}{4} = 6 \\ 4 \times \frac{x}{4} = 6 \times 4 \\ x = 24[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

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