The expression (x^3 )(x^(-17) ) is equivalent to (x^n). What is the value of n?

Answers

Answer 1

Answer:

21

Step-by-step explanation:

Answer 2

Answer:

[tex]n=-14[/tex]

Step-by-step explanation:

The given expression is

[tex](x^3)(x^{-17})=x^n[/tex]

Recall that; [tex]a^m\times a^n=a^{m+n}[/tex]

We apply this property to the left hand side to obtain;

[tex]x^{3+-17}=x^n[/tex]

This simplifies to;

[tex]x^{3-17}=x^n[/tex]

[tex]x^{-14}=x^n[/tex]

Since the bases are the same; the exponents are also the same.

[tex]\therefore n=-14[/tex]


Related Questions

WILL GIVE THE BRAINLEST
NEED HELP WITH #7 AND 8​

Answers

Answer:

A closed, two-dimensional or flat figure is called a plane shape. Different plane shapes have different attributes, such as the numbers of sides or corners. A side is a straight line that makes part of the shape, and a corner is where two sides meet. for 7 took me ten years #8 circle has 1 curved side but no corners. – sphere, cube, cuboid, cylinder, cone, square based pyramid, triangular based pyramid.

Step-by-step explanation:

hope this help i also need help with this but i already did for home work please hope for brainlist nobody ever gives me...

according to the graph of F(x), which of the statements below are true? check all that apply​

Answers

Answer:

B, E and F

Step-by-step explanation:

This graph is a log which has an asymptote. This means the function does not cross it and does not have in its domain certain numbers. The asymptote is at -2. This means the domain is greater than -2.

The range is the y-values. With no restrictions here, the function includes all numbers.

This means B, E, and F are true.

PLZ HELP ME IM STRUGGLING

Answers

$15 dollars per adult

$9 per child

We have 4 adults and 5 children.

Adults: 15 x 4 = $60

Children: 9 x 5 = $45

$60 + $45 = $105

Answer: $105

How many points determine a plane?

Answers

Answer:

Three points determine a plane

Step-by-step explanation:

Here is your answer

[tex]\bold{3}[/tex] points determine a plane.

SOME EXTRA INFORMATION :
In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following:

1)Three non-collinear points (points not on a single line).

2)A line and a point not on that line.
3)Two distinct but intersecting lines.

HOPE IT IS USEFUL

Explicit formula for the sequence -3,-14,-25,-36

Answers

ANSWER

[tex]a_{n}=a_{n-1} - 11 \: \: ,a_1 = - 3[/tex]

EXPLANATION

The given sequence is

[tex]-3,-14,-25,-36,...[/tex]

The first term of the sequence is

[tex]a_1=-3[/tex]

The common difference is

[tex]d = - 14 - - 3[/tex]

[tex]d = - 11[/tex]

The recursive formula is

[tex]a_{n}=a_{n-1} - 11 \: \: ,a_1 = - 3[/tex]

Answer:

aₙ = aₙ₋₁  -11

Step-by-step explanation:

We have given the sequence:

-3,-14,-25,-36

We have to find the explicit formula.

The first term in this sequence is:

a₁ = -3

The common difference is:

a₂-a₁= -14-(-3) = -11

a₃-a₂ = -25-(-14) = -11

a₄-a₃ = -36-(-25)= -11

Common difference d = -11

The general formula is :

aₙ = aₙ₋₁ +d

Here d = -11 so,

aₙ = aₙ₋₁  -11 is the explicit formula.

Use the net below to determine the surface area of the cylinder.

Answers

The correct answer should be :

Option 3 : [tex]753.6cm^{2}[/tex]

Hope this helps,

Davinia.

Info is on the picture

Answers

Answer: C

Step-by-step explanation:

1 ml = 0.001 l

1 l = 1000 kl

Answer:

Answer is C.

...and could you help me with my question please?

https://brainly.com/question/12407929

What is the experimental probability that both coins land on the same side on Isidro’s next toss

Answers

Answer:

1/2, or 0.5

Step-by-step explanation:

There are 4 ways that 2 coins can fall...

Both heads (this satisfies our situation)

1st coin heads, 2nd coin tails

1st coin tails, 2nd coin heads

Both tails (this satisfies our situation)

We have 2 out of 4 ways to satisfy this situation, so our experimental probability is

P = 2/4 which reduces to

 P = 1/2 , or 0.5 as a decimal

The experimental probability of both coins landing on the same side is 0.25 or 25%.

Each flip of a fair coin is independent, so the probability of both coins landing on the same side (heads or tails) =

0.5 × 0.5 = 0.25 or 25%.

please help the answer i put idk if its correct (brianlest if correct)

Answers

Answer:

9,5

Step-by-step explanation:

It's it reflection on the opposite side, so you get (9,5) as they were also given to you.

find 3 different possibile pairs of values for a and b ​

Answers

a=1, b =18

a=2, b = 9

a = 3 , b = 6

Hello! Essentially you are trying to find a linear function. For example, a linear function is a function that increases or decreases in some type of relationship between each pair consistently. To answer your question, one example could look like this...

Lastbenchstudent basically nailed the linear equation but I could elaborate from his work and answer your question in a different way.

A = 3, B = 18

A = 2, B = 9

A = 1, B = 4.5

To explain my answer, I basically divided B every time A decreased. As A decreased by 1, B decreased by half the amount!

I saw a shirt for $97. I borrowed $50 from my mother and $50 from my father. I bought the shirt with $3 in change. I gave $1 to my mother, $1 to my father, and kept the extra $1 for myself. Now I owe $49 to my mother and $49 to my father. 49+49=98+my $1=99. Where did the other $1 go?

Answers

Answer:

Your other $1 went to yourself.

Answer:

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

A cylinder has diameter 34 m and height 27 m. A label at bottom states drawing not to scale.

Find the volume of the cylinder. Use 3.14 for  

π

.

please show your answer in steps

The area of the surface of a sphere is described by the formula S=4(3.14)r^2. The earth has a radius of 3960 miles and dry land forms 29.2% of the earth’s surface. What is the area of the dry land on earth?

Answers

Answer: [tex]57,512,581.63miles^2[/tex]

Step-by-step explanation:

Substitute the value of the radius of the Earth into the formula given in the problem, where r is the radius, to obtain the surface area of the Earth:

[tex]S=4(3.14)r^2\\S=4(3.14)(3,960miles)^2\\S=196,960,896miles^2[/tex]

The problem says that the dry land forms 29.2% of the Earth’s surface, therefore, multiply the surface area by [tex]\frac{29.2}{100}=0.292[/tex]

Threfore, the area of dry land is the following:

[tex]S_{land}=(0.292)(196,960,896miles^2)=57,512,581.63miles^2[/tex]

Final answer:

To find the area of the dry land on Earth, first, calculate the Earth's total surface area with the formula S=4(3.14)r². Given a radius of 3960 miles, this results in about 197,920,640 square miles for the total surface. Multiplying this by 29.2% (or 0.292) gives approximately 57,780,666.88 square miles of dry land.

Explanation:

The question asks for the area of the dry land on Earth, given Earth's radius and the percentage of its surface that is dry land. To find this, first calculate the total surface area of the Earth using the formula S = 4(3.14)r², where r is the radius of the Earth (3960 miles). The formula accounts for the surface area of a sphere. After calculating the total surface area, we then calculate 29.2% of this area to find the dry land's surface area.

Step-by-Step Calculation:

Calculate the total surface area of the Earth: S = 4(3.14)(3960)²

Find the area of the dry land by multiplying the total surface area by 29.2% (or 0.292).

Using the steps above:

S = 4(3.14)(3960)² = 197,920,640 square miles (approx.) as the total surface area.

Area of dry land = 197,920,640 * 0.292 = 57,780,666.88 square miles (approx.).

full-time job usually means you will work how many hours per week? A. 20 B. 35 C. 40 D. 55 Please select the best answer from the choices provided A B C D

Answers

Answer:

C. 40 or B. 35

Step-by-step explanation:

Full time jobs are typically jobs that vary from 35-40 hours a week.

Hope this helps :)

Answer:

C) 40 hours

Step-by-step explanation:

Usually, a full-time job employee works 8 hours per day. There are 7 days in a week where most of employees  work 5 days a week, remaining 2 days week off.

Therefore, the number of hours per week = 5 days * 8 hours per day

= 40 hours

Hence, the answer is C) 40

How to do whole number between

Answers

ANSWER:  

2 and 1/4

Step-by-step explanation:

Ok I don't have time to do this i got to study for a history test so can some one simplify these real fast pls
5(2z-1)
(4-2k)8
(15-4a)5
6(n+1.2)
(n-8.2)5

And can u do these
6(n+4)=42. -6(x+8)=0. 3(-4+2r)=-24. 8(-7y-6)=-160
(2a+1.75)2=7.5 (2.3-6n) 1/5=3.14

Thx pals

Answers

1. 10z - 5

2. -16k + 32

3. -20a + 75

4. 6n + 7.2

5. 5n - 41

6. n = 3

7. x = -8

8. r = -2

9. y = 2

10. a = 1

11. n = -2.23333333 ( this is the only problem im unsure of answer )

Write the expression: the quantity x minus 3 divided by y. A) x − 3 y Eliminate B) y x − 3 C) x − 3 y D) y x − 3

Answers

The correct expression that represents  the quantity x minus 3 divided by y  is: C) [tex]\( \frac{x - 3}{y} \)[/tex]

To solve the given mathematical problem, we need to translate the verbal expression into a mathematical one. The phrase  the quantity x minus 3  indicates that we should subtract 3 from x, which gives us [tex]\( x - 3 \)[/tex]. Then, the word  divided  tells us that this quantity should be divided by y, which can be represented mathematically as [tex]\( \frac{x - 3}{y} \)[/tex].

Let's examine the options provided:

A) [tex]\( x -3y \)[/tex]

This option represents the expression x minus 3 times y, which is not the same as the quantity x minus 3 divided by y.

B) [tex]\( yx -3 \)[/tex]

This option represents the expression y times x minus 3, which is also not the same as the quantity x minus 3 divided by y.

C) [tex]\( \frac{x - 3}{y} \)[/tex]

This option correctly represents the quantity x minus 3 divided by y, which is what we are looking for.

D) [tex]\( yx - 3 \)[/tex]

This option is similar to option B and represents the expression y times x minus 3, which again is not the same as the quantity x minus 3 divided by y.

Therefore, the correct answer is option C, which correctly represents the division of the quantity x minus 3 by y.

The complete question is-

Write the expression: the quantity x minus 3 divided by y.

A) x - 3/y

B) y/x - 3

C) x - 3/y

D) y/x - 3

How to this problem

Answers

Answer: 16 square feet

Step-by-step explanation: In order to calculate how much total screen she needs you need to calculate each section.

The small ends are 2 ft x 1 ft, so you need 2 feet for each end, or 4 feet total.

The long sides are 3 ft x 2 ft, so you need 6 feet for each end, or 12 feet total.

The total screen needed for the sides is 4 + 12 = 16 square feet.

The price x of apples varies from 20 cents to 32 cents a pound. Write an inequality that represents this situation.

Answers

The inequality is 20¢ ≤ x ≤ 32¢

Simplify the expression square root of 6 times the square root of 33 plus 7

Answers

Answer:

3√(22) + 7

Step-by-step explanation:

The way this is worded can be interpreted two different ways so just to cover the bases, I'll do both. I'm confident they are asking for way 1 though because it wants you to simplify the expression, not evaluate. Way 2 gives you a solution rather than an exact equation.  

Number 1

√(6) x √(33) + 7

= √(6 x 33) + 7

= √(198) + 7

= √(9 x 22) + 7

= 3√(22) + 7

Number 2

√(6) x √(33 + 7)

= √(6) x √(40)

= √(6) x (4√(10))

= 4√(60)

= 8√(15)

The simplified expression for [tex]\sqrt{6} \times \sqrt{33} + 7[/tex] is [tex]3\sqrt{22} + 7[/tex]

To simplify square root of 6 times the square root of 33 plus 7 we need to first write it mathematically. We get:

[tex]\sqrt6 \times \sqrt{33}+7[/tex]

Using BODMAS, we first multiply the roots. This will give us:

[tex]\sqrt{6} \times \sqrt{33} + 7 = \sqrt{6 \times 33} +7[/tex]

Now we need to expand the digits in square by expressing them as a product of their prime factors so that common pairs can be taken out of the root. This can be done as follows:

[tex]\sqrt{6 \times 33} +7 = \sqrt{(3 \times 2)\times (3\times11)} +7[/tex]

We can see that there are two pairs of 3. Thus we extract 3 times 3 as it is a perfect square for 9 and we get:

[tex]3\sqrt{( 2\times 11)} +7 = 3\sqrt{2}+7[/tex]

Thus, the simplified expression for [tex]\sqrt{6} \times \sqrt{33} + 7[/tex] is [tex]3\sqrt{22} + 7[/tex]

What is the median of the data set?

Answers

Answer:

8.5

Step-by-step explanation:

5 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 10 , 10

Cross one from the left and then one from the right

5 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 10 , 10

8 , 8 , 8 , 8 , 9 , 9 , 9 , 10 , 10

8 , 8 , 8 , 8 , 9 , 9 , 9 , 10

8 , 8 , 8 , 9 , 9 , 9 , 10

8 , 8 , 8 , 9 , 9 , 9

8 , 8 , 9 , 9 , 9

8 , 8 , 9 , 9

8 , 9 , 9

8 , 9

Since you have 2 numbers left, find the number right inbetween the two

Answer is provided in image attached.

You read a book for 40 minutes. Then you played 3 games on the computer. Each game took 10 minutes to play. Which steps can you use to find the total number of minutes you spent reading your book and playing games?

Answers

Final answer:

To find the total number of minutes spent reading and playing games, add the time spent reading and the time spent playing games.

Explanation:

To find the total number of minutes spent reading the book and playing games, we can add the time spent reading and the time spent playing games. First, we spent 40 minutes reading the book. Then, we played 3 games, and each game took 10 minutes to play. So, the total time spent playing games is 3 games × 10 minutes/game = 30 minutes. Finally, we can add the time spent reading and the time spent playing games: 40 minutes + 30 minutes = 70 minutes.

Learn more about total number of minutes here:

https://brainly.com/question/28971766

#SPJ12

Final answer:

To find the total number of minutes spent reading the book and playing games, you can multiply the duration of reading by 1, multiply the number of games played by the duration of each game, and then add the products together. In this case, the total number of minutes would be 70.

Explanation:

To find the total number of minutes spent reading the book and playing games, you can follow these steps:

Multiply the number of minutes spent reading (40) by 1.Multiply the number of games played (3) by the duration of each game (10 minutes).Add the products from step 1 and step 2 together to find the total number of minutes.

In this case, the calculation would be: 40 minutes (reading) + (3 games × 10 minutes per game) = 40 + 30 = 70 minutes.

Learn more about calculating total minutes spent here:

https://brainly.com/question/37611272

#SPJ12

gordan is g years old.which expression show how old he would be in 12 years from now

Answers

Answer:

The expression would be g+12

Step-by-step explanation:

Technically you are adding his age right now, G, and 12 more years. So an expression that can show how old he will be in 12 years is G+12.

A point located at (3, -2) is translated right 3 units and down 4 units. What are the coordinates of the image? (0, -2) (6, -6) (6, 2) (0, -6)

Answers

Answer:

(6,-6)

Step-by-step explanation:

Because if you move to the right 3 units you add 3 to the x-axis number or in this case 3, so 3+3=6, and if you move down 4 units its the same as subtracting 4 from the y-axis number or in this case -2 so, -2-4=-6. Which gives you (6,-6).

Answer:

(6, -6)

Step-by-step explanation:

Find the population of beetles a week later by first finding 6% of 350 and adding it to the original population

Answers

Step-by-step explanation:

6 percent of 350 is 21. 21 plus 350 is 371, therefore the answer is 371.

Brainliest? :)

The population of beetles a week later is 371.

The calculation is as follows:

= 6% of 350 + 350

= 21 + 350

= 371

Learn more: https://brainly.com/question/9122916?referrer=searchResults

a packer puts 50 vitamin capsules into a bottle. How many bottles are needed to pack 100 dozen capsules?

Answers

Odpowiedź

24

100. 12=1200

1200:50=24

The average snow base at Heavenly Ski Resort is 2 feet in the month of December. In the month of January, the average base is 3 feet. If the snow base increases at about the same rate through the month of March, which is the best estimate for the snow base in the month of March?

A. 2 ft
B. 3 ft.
C. 4 ft.
D. 5 ft.

Answers

The answer is 5ft of snow

What is the sum of the polynomials?
(–x2 + 9) + (–3x2 – 11x + 4)

–4x2 – 2x + 4

–4x2 – 11x + 13

2x2 + 20x + 4

2x2 + 11x + 5

Answers

[tex] - {x}^{2} + 9 - 3 {x}^{2} - 11x + 4 \\ = - 4 {x}^{2} - 11x + 13[/tex]

2nd answer

Answer:

Option B. -4x² - 11x + 13

Step-by-step explanation:

Given polynomials are ( -x² + 9 ) and ( -3x² - 11x + 4 )

We have to add them.

( -x² + 9 ) + -3x² - 11x + 4 )

-x² + 9 - 3x² - 11x + 4

Now we will collect similar terms

( -x² - 3x² ) - 11x + ( 9 + 4 )

-4x² - 11x + 13

Therefore, option B is the answer.

I took a picture of 2 problems I need help with can someone help me please

Answers

1 is C not sure about 2

Helppppp please. .........

Answers

Answer: 12 feet

Step-by-step explanation: look at the bottom length of the rectangle, it is 10 feet, the missing length of the rectangle should be 10 ft as well. we already know that two of the sides are 3 so we can do 3+3+x=10, x=4. the base of the triangle is 4. We can now use the formula for area of the triangle, 1/2 base*height so 1/2 *6*4= 12 feet, Hope this helps!

WILL MARK BRAINLIEST!! Complete the statements to find the measurements of ∠a and ∠b .

Answers

Answer:

angles b and a both equal 60 degrees

Step-by-step explanation:

a and b are both equal to 60 degrees. A flat angle is 180 and you have the one that’s 120 so that one is 60 and then the last side must be 60 as well because when you add them then subtract it from 180 you get 60

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