(x2/5)n

For what value of n, written as a decimal, will the expression equal x?

Answers

Answer 1

Given:

The expression is:

[tex]\left(x^{\frac{2}{5}\right)^n[/tex]

To find:

The decimal value of n so that the value of the given expression is equal to x.

Solution:

We have,

[tex]\left(x^{\frac{2}{5}\right)^n[/tex]

This expression is equal to x.

[tex]\left(x^{\frac{2}{5}\right)^n=x[/tex]

[tex]x^{\frac{2}{5}n}=x^1[/tex]                     [tex][\because (a^m)^n=a^{mn}][/tex]

On comparing the exponents, we get

[tex]\dfrac{2}{5}n=1[/tex]

[tex]2n=5[/tex]

[tex]n=\dfrac{5}{2}[/tex]

[tex]n=2.5[/tex]

Therefore, the required value of n is 2.5.


Related Questions

PLS HELP WILL GIVE BRAINLY!!

What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point

Answers

Answer:

24.68 gram

Step-by-step explanation:

Given that :

Volume = 182.8 ml

Density of liquid = 0.135 gram/ml

Recall :

Density = mass (g/ml) / volume (ml)

Substitute the value into the equation :

0.135 = mass / 182.8

Mass = 0.135 * 182.8

Mass = 24.678 gram

Hence, weight = 24.678 grams

Write in point-slope form the equation of the line containing the point (4,5) and is perpendicular to the line y=6x-1

Answers

Answer:

y - 5 = -1/6 (x - 4)

Step-by-step explanation:

y = 6x - 1          y = -1/6x + b

y - 5 = -1/6 (x - 4)

Answer:

Step by step explanation:​

Answers

Answer:

Step-by-step explanation:

a) [tex]t_{n}[/tex] = 2n - 3

[tex]t_{1}=2*1-3 = 2-3=-1\\\\t_{2}=2*2-3=4-3=1\\\\t_{3}=2*3-3=6-3=3\\\\t_{4}=2*4-3=8-3=5\\\\S_{4}=t_{1}+t_{2}+t_{3}+t_{4}\\\\= -1 + 1 + 3 + 5 \\\\= 8[/tex]

d)

[tex]t_{n}=\frac{2n-1}{2n+1}\\\\\\t_{1}=\frac{2-1}{2+1}=\frac{1}{3}\\\\t_{2}=\frac{4-1}{4+1}=\frac{3}{5}\\\\t_{3}=\frac{6-1}{6+1}=\frac{5}{7}\\\\t_{4}=\frac{8-1}{8+1}=\frac{7}{9}\\\\[/tex]

[tex]S_{n}=\frac{n}{2}(a+l)\\\\S_{4}=\frac{4}{2}(\frac{1}{3}+\frac{7}{9})\\\\=2*(\frac{1*3}{3*3}+\frac{7}{9})\\\\=2*(\frac{3}{9}+\frac{7}{9})\\\\=2*\frac{10}{9}\\\\=\frac{20}{9}[/tex]

help me please it easy.

Answers

Answer: there is no picture attached or equation? what's the question?

Step-by-step explanation:

ok, what do you need help with?

Tommy started a business in the year 1991. He got $44,000 profit in the first year. Each year his
profit decreased by 3%. Identify an exponential decay model to represent his decreasing annual
profit in the business?

Answers

Answer= decreasing annual profit in the business

are $13200.

Answer:

[tex]P = 44,000(.97)^{t}[/tex]

P=Profit

t=years

Step-by-step explanation:

[tex]P = 44,000(.97)^{t}[/tex]

P=Profit

t=years

In the game of Twister, a spinner randomly selects either an arm or a leg, and also selects one of four colors, one of which is red, each with equal probability, and players have to move the appropriate body part to the appropriately colored spot on the ground. There are four players. Each player spins once, and makes the move the spinner selects. What is the probability that in these four spins, there will be exactly two moves to a red spot, and the body part selected to move will be an arm exactly $3$ times

Answers

Answer:

In agreement to your twister question, a spinner can randomly select whether they want to put an arm or a leg, meaning this choice is entirely upon them. The color choice is also independent, so spinners are allowed to choose freely, whichever color as well as limb they want to move in the game of twister.

See the attached image for step by step explanation of the final probability

Joanna bakes a cake in the shape of a

cylinder. The cake is 10 inches in

diameter and 4.5 inches tall. She

wants to put frosting on the entire

cake that is not resting on the tray.

How many square inches of frosting

will she need? im confused on how to do the work. please answer quickly

Answers

Answer:

total surface area  = 298.45105 m2

lateral surface area = 141.37155 m2

top surface area = 78.53975 m2

bottom surface area = 78.53975 m2

Step-by-step explanation:

Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.

To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.

The formula for the surface area of a cylinder is given by:

Surface Area = 2πr² + 2πrh

Where r is the radius of the base and h is the height of the cylinder.

Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.

Plugging in the values, we have:

Surface Area = 2π(5)² + 2π(5)(4.5)

Simplifying the equation:

Surface Area = 2π(25) + 2π(22.5)

Surface Area = 50π + 45π

Surface Area = 95π

To find the actual numerical value, we can approximate π as 3.14:

Surface Area ≈ 95 * 3.14

Surface Area ≈ 298.3 square inches

To learn more about cylinder click on,

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find x.
can someone work it out for me so i can try and figure out how to do problems like this on my own? please and thank you

Answers

Answer:

x = 7/2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj side / hypotenuse

cos 45 = x / 7 sqrt(2) /2

7 sqrt(2)/2 cos 45 = x

7 sqrt(2)/2 (1/ sqrt(2))= x

7/2 = x

When a projector is placed 10 meters from a screen as shown, it produces an image 3 meters high. If the tallest image that the projector can produce without distortion is 4.5 meters high, what's the maximum distance the projector can be placed form the screen

Answers

Answer:

Step-by-step explanation: 10 meters/3 meters =x/4.5 meters

Where x = the maximum distance the projector can be placed that can produce an image 4.5 meters high

3x = 10 (4.5)

3x = 45

X= 45/3

X= 15 meters

So, the maximum distance that the projector can be placed from the screen which produces an image 4.5 meters high is 15 meters.

a store charges 25 cents for each ruler and 5 cents for each penicl that it sells. if sarah bought r, rulers and p penicls from the store, which of the following repersents the amount, in cents, that the store charged her?

Answers

Answer:

Total=(0.25(p))+(0.05(r))

replace the letter value with the # of items and solve using equation

I need help with A-I on #1

Answers

Answer:

1a. 104

1b. 8x

1c. 13y

1d. xy

1e. 3+y

1f. x+7

1g. x-y

1h. x divided by y

1i. x+3

1j. 3x

1k. y-5

1l. 1/5y

2a. 26

2b. x+9

Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation

Answers

Answer:

simultaneous equations

Step-by-step explanation:

phils age =7x

Peter age=x

scenario 2

phils age = 4(7x)

Peter age= 2x-2

[tex]7x + x = 4(7x) + 2x - 2[/tex]

Is the rate of change of the function 5? help pls :')​

Answers

Answer: B

No, because y does not change by 5 every time x changes by 1

Step-by-step explanation:

rate of change is basically slope

if the rate of change of the function of 5, then the slope will be 5/1

The x changes by 1 every time y changes by 4

so the slope of the function is 4

Find the value of ( 1+cosA) (1-cosA)

Answers

Answer:

sin^2 A

Step-by-step explanation:

first expand the trigonometry

1(1-cosA)+cosA(1-cosA)

=1-cosA+cosA-cos^2 A

= 1-cos^2 A

from trigonometric identity sin^2 A + cos^2 A= 1

sin^2 A= 1- cos^2 A

=sin^2 A

Which two repeating decimals are equivalent to 10/11 A b c or D

Answers

Answer:

I think it is 0.909090909090. Hope this helped.

Step-by-step explanation:

Prove hat the ditance between any two points inside triangle ABC is not greater than half the perimeter of ABC

Answers

Answer:

It is not because the half the perimeter is not only one side but another half side of the triangle, and the distence between two points in a triangle can never become longer then the length of one side.

Step-by-step explanation:

The math part I am unsure of because you did say prove but let me know if this helps. Thanks!

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

A = 79°

Step-by-step explanation:

CosA = adjacent ÷ hypoteneous

A = Cos^-1(6÷32)

A. =. 79.19°

A= 79°

PLS PLS help me create a new polynomial identity ASAP!!!!!

(y+x) + (ax+b)

Square the expression on the left, then add the expression on the right.

Answers

Answer:

ax + b + y^2 + 2yx + x^2

Step-by-step explanation:

(y+x)^2

= (y+x)(y+x)

= y^2 + 2yx + x^2

y^2 + 2yx + x^2 + (ax+b)

= ax + b + y^2 + 2yx + x^2

Please hurry I will mark you brainliest

What is the slope of the line with an x-intercept of 4 and a y-intercept of -3?

Answers

the answer to this question is the slope is 43

Answer:

Therefore, the slope is 3/4

Step-by-step explanation:

An x -intercept is the value of x when y=0 , so an x-intercept of 4 can be written as a coordinate on the graph as (4,0)

Likewise, an

y -intercept is the value of y when x=0 , so an y -intercept of −3can be written as a coordinate on the graph as (0,-3)

Now we have two points(4,0) (0,-3)

To find the slope given two points, we use the formula

rise÷run , or y2−y1÷x2−x1 .

Plug in the given points into the formula

-3-0/0-4

-3/-4

3/4

Therefore, the slope is 3/4

Hope this helps!

The Lewis family and the Martin family each used their sprinklers last summer. The water output rate for the Lewis family's sprinkler was 30L per hour. The water output rate for the Martin family's sprinkler was 15L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1350L. How long was each sprinkler used

Answers

Answer:

Martin family: 20 hours

Lewis family: 35 hours

Step-by-step explanation:

Let's say that the Lewis family sprinklers were out for L hours and the Martin family's sprinklers were out for M hours. We know that for each hour that the Lewis family sprinkler was on, 30L of water was put out. We can thus write the Lewis family sprinkler water output as 30L per each hour of L = 30 * L. Similarly, the Martin family sprinkler water output = 15 * M .

We know that the total hours for the sprinklers is 55, so L + M = 55. The total water output for the sprinklers is the sum of the sprinkler outputs, so 30 * L + 15 * M = 1350

L + M = 55

30 * L + 15 * M = 1350

One way to solve this would be to solve for L in the first equation and substitute that into the second

subtract M from both sides in the second equation

55 - M = L

30 * (55-M) + 15 * M = 1350

30 * 55 - 30 * M + 15 * M = 1350

1650 - 15M = 1350

subtract 1650 from both sides to isolate the M and its coefficient

-15M = -300

divide both sides by -15 to isolate M

M = 20

L = 55-20 = 35

Please help quick pleaseeeeeeeeeeee

Answers

Answer:

think this one

Step-by-step explanation:

the answers there

i think

What is the equation of a line that passes through the point (5,3) and has a slope of -2?​

Answers

Answer:

y = -2x +13

Step-by-step explanation:

you know the point is (5,3) and slope is -2

sub into the linear equation y=mx+b

3 = -2(5) +b

rearrange and solve for b

b= 3 + 10

b = 13

13-16 pls I don’t understand

Answers

Answer:

13. 1

14. 42

15. 65

Step-by-step explanation:

13.

If the average of two numbers is 1, then the sum of those two numbers is 2. As 2*1 is 2, and the average is found by dividing the sum by the amount of numbers.

Only one number is an integer and has a reciprocal that is an integer, the number being 1.

1/1 = 1

1/1 = 1

Average:

1+1 = 2

2/1 = 1

Therefore the answer is 1.

14.

If we multiply everything by 7x, we'd get

7 + x = 49

subtract 7 on both sides

x = 42

15.

If

pg = 50 and gr = 15

then

pg + gr = 65

factoring that would give you

g(p+r) = 65

I can't see 16 but good luck!

Select all sets in which the number - 12 is an element.
A. real numbers
B. whole numbers
C. integers
D. irrational numbers
E. natural numbers
F. rational numbers
Help plz

Answers

3 Answers: A, C, F

real numbers, integers, rational numbers

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

Explanation:

So far in your studies, every number is a real number. This is assuming your teacher hasn't introduced complex or imaginary numbers yet.

So that's why -12 is a real number.

Choice A is one of the answers

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

The set of whole numbers is {0,1,2,3,4,...} so we aren't including negative values here, which rules out choice B. However, the set of integers does include negative values

{..., -3, -2, -1, 0, 1, 2, 3, ...}

That makes -12 an integer

Choice C is one of the answers

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

The value -12 is not irrational because we can write it as a fraction of two integers. Eg: -12 = -12/1

This shows that -12 is rational and why choice F is one of the answers and allows us to rule out choice D.

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

We can rule out choice E because the set of natural numbers is {1,2,3,4,...} basically the set of whole numbers but we kicked out 0.

The requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

What is set?

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

Here,

Only sets that consist of negative values are, real numbers, integers, and rational numbers.

So - 12 is a negative number that belongs to the set of real numbers, integers, and rational numbers.

Thus, the requried, -12  is an element of sets of real numbers, integers, and rational numbers. Options A, C, and F are correct.

Learn more about the number system here:

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Convert 7.5 gallons to quarts using a unit multiplier.

Answers

Answer:

7.5 Imperial Gallons = 30 Imperial Quarts

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

30 qt.

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

There are 4 quarts in a gallon.

7.5 * 4 = 30

7.5 gal. = 30 qt.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Find the area and perimeter of the shaded region below. Give your answer as a completely simplified exact value in terms of pi.

Answers

Answer:

23.73pi (rounded to the nearest hundredth)

Step-by-step explanation:

You can find the radius of the half-circle by looking at the triangle. You then calculate the area of a circle with that radius and divide the area by 2. Area of full circle=113.1

113.1/2=56.55. You must now calculate the area of the triangle, (6*6)/2. This gives you 18. Add your areas together, 56.55+18=74.55. Now divide your answer by pi. Then you put it as an equation of 74.55/pi = 23.73pi.

Pls answer my question ty ;)

Answers

Answer:

x=11

Step-by-step explanation:

5x+7=62

5x=62-7

5x=55

x=11

NEED HELP ASAP!
Slove for x.

A.4
B.10
C.8
D.7

Answers

i think it 10 because the angle your looking at is x is 7

Find the slope and the y-intercept of the line.
- 3x - 4y= -20
Write your answers in simplest form.

Answers

Answer:

The slope is -3/4 and the y intercept is 5

Step-by-step explanation:

- 3x - 4y= -20

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

Solve for y

Add 3x to each side

- 3x - 4y+3x=3x -20

-4y = 3x-20

Divide by -4

-4y/-4 = 3x/-4  -20/-4

y = -3/4 x+5

The slope is -3/4 and the y intercept is 5

Answer:

Slope: [tex]\displaystyle-\frac{3}{4}[/tex]

Y-intercept: 5

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

[tex]-3x-4y=-20[/tex]

To find the slope and y-intercept of the given line, rearrange the equation into slope-intercept form. We can do this by isolating y.

Add 3x to both sides:

[tex]-3x-4y+3x=-20+3x\\-4y=3x-20[/tex]

Divide both sides by -4:

[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]

Now, we can identify [tex]\displaystyle-\frac{3}{4}[/tex] to be in place of m, the slope, and 5 to be in place of b, the y-intercept. Here is a comparison:

[tex]y=\displaystyle -\frac{3}{4} x+5[/tex]

[tex]y=mx+b[/tex]

I hope this helps!

If necessary, write in simplest radical form

Answers

Answer:

2*sqrt(5)

Step-by-step explanation:

By using Pythagoras theorem, we have

4^2+2^2=(the third side)^2

16+4=(the third side)^2

Third side=sqrt(20)=2*sqrt(5)

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