solve the equation
[tex] {5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105[/tex]

Answers

Answer 1

Answer:

n=2

Step-by-step explanation:

Hello, please consider the following.

[tex]{5}^{n + 1} - {5}^{n} + {5}^{n - 1} = 105\\\\5^{n-1}(5^2-5+1)=5^{n-1}(25-5+1)=21*5^{n-1}=105\\\\5^{n-1}=\dfrac{105}{21}=5=5^1\\\\\text{It means that}\\\\n-1=1 <=> n=2[/tex]

Let me know if you need more details.

Thank you

Answer 2
n=2 is the correct answer yes

Related Questions

Simplify (−3c3w5)3. −9c6w8 −9c9w15 −27c6w8 −27c9w15

Answers

Answer:-9c3w5-36c6w8-36c9w15

Answer:

-27c⁹w¹⁵ the last choice

Step-by-step explanation:

Simplifying:

(−3c³w⁵)³=                   ⇒ each factor gets same power- 3³(c³)³(w⁵)³ =             ⇒ power of power = product of powers- 27c⁹w¹⁵                     ⇒ correct answer choice is the last one

find the value of a answers: a:15 b:14 c:19 d:16

Answers

Answer:

6a+10= 3a+55

6a-3a= 55-10

3a= 45

a= 45/3

a= 15

The answer is (A) 15

Hope this helps^°^

Answer:

A. 15

Step-by-step explanation:

The angles are vertical angles, therefore they are congruent. We can set the two measures equal to each other.

[tex]6a+10=3a+55[/tex]

Now, solve for a. We must get a by itself on one side of the equation.

First, subtract 3a from both sides of the equation.

[tex]6a-3a+10=3a-3a+55[/tex]

[tex](6a-3a)+10=55[/tex]

[tex]3a+10=55[/tex]

Next, subtraction 10 to both sides of the equation. We subtract because 10 is being added to 3a. The inverse of addition is subtraction.

[tex]3a+10-10=55-10[/tex]

[tex]3a=55-10[/tex]

[tex]3a=45[/tex]

3 and a are being multiplied. The inverse of multiplication is division. Divide both sides of the equation by 3

[tex]3a/3=45/3[/tex]

[tex]a=45/3[/tex]

[tex]a=15[/tex]

The value of a is 15 and choice A is correct.

Help! You can look at the picture please

Answers

Answer:

[tex] \frac{3x}{3 - 2x} [/tex]

Step-by-step explanation:

Here,

f(x) = y

[tex]y = \frac{3x}{2x + 3} [/tex]

or , swapping x with y

[tex]x = \frac{3y}{2y + 3} [/tex]

now to solve for y we get

[tex]y = \frac{3x}{3 - 2x} [/tex]

now we put f inverse x instead of y

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

I am done.

I think it’s D,but I’m not sure

Rearrange the tiles so that it shows the proper steps of solving this quadratic equation using square property

Answers

Answer:

see explanation

Step-by-step explanation:

Given

(x + 2)² = 25 ( take the square root of both sides )

x + 2 = ± [tex]\sqrt{25}[/tex] ← Step 1

x + 2 = ± 5 ← Step 2 ( subtract 2 from both sides )

x = - 2 ± 5 ← Step 3

Residence of us in the version of nighttime is my was very very good night of the times that I will never been in before and I never meant for five minimum and I have a number for a cop to see if we find the tape. Hope that is the answer

Name five fractions between 6/7 and 9/10

Answers

Answer:

43/50, 22/25, 111/125, 1111/1250, and 179/200.

Step-by-step explanation:

6/7 = 0.8571428571

9/10 = 0.9

The fractions can be anywhere within that range.

The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.

The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.

The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.

The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.

The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.

Hope this helps!

Answer:

43/50, 22/25, 111/125, 1111/1250, and 179/200.

Step-by-step explanation:

6/7 = 0.8571428571

9/10 = 0.9

The fractions can be anywhere within that range.

The first fraction I would name would be a fraction that equals 0.86. 0.86 = 86/100 = 43 / 50.

The second fraction can be a fraction that equals 0.88. 0.88 = 88 / 100 = 44 / 50 = 22 / 25.

The third fraction will equal 0.888. 0.888 = 888 / 1000 = 444 / 500 = 222 / 250 = 111 / 125.

The fourth fraction will equal 0.8888. 0.8888 = 8888 / 10000 = 4444 / 5000 = 2222 / 2500 = 1111 / 1250.

The fifth fraction can equal 0.895. 0.895 = 895 / 1000 = 179 / 200.

Which is the correct label for the volume of a solid figure?

units squared (i.e. m2)


units cubed (i.e. m3)

Answers

Answer:

Volume is units cubed

area is units squared

Units cubed will be the correct label.

We have a solid figure.

We have to determine the correct unit of labelling for this figure.

What is difference between Area and Volume?

An area is a two - dimensional quantity that encloses all two -dimensional coordinate points using a single dimensional entity. Example - circle.

Volume is a three - dimensional quantity that encloses all the points in the three - dimensional space using a two - dimensional entity.

The volume makes use of three different dimensions to enclose points inside it. Due to this we cannot label the unit as units squared as it represents only two dimensions ([tex]m^{2}[/tex]), whereas units cubed represents three dimensions ([tex]m^{3}[/tex]).

Hence, units cubed will be the correct label.

To solve more questions on area and volume, visit the link below -

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PLEASE HELP! Will mark brainliest! Find the intercepts for the following linear equation: y=−5

Answers

Answer:

hi :)

Step-by-step explanation:

Y intercept (C)= -5

I think it will help you.

Please help need help asap please

Answers

Answer: The two choices with the square root of 2 will have irrational answers

Step-by-step explanation: By definition:

As long As you have normal fractions, you have rational numbers.

Square roots of "perfect squares" 4, 9, 16, 25, etc. can be rational numbers. The square roots of anything else and pi will be irrational.

The square root of 2 choices are the answers with irrational answers

Identify the domain of a radical function with an odd index. Question 1 options: A) 0 < x < ∞ B) –∞ < x < ∞ C) 0 ≤ x < ∞ D) –∞ < x ≤ 0

Answers

Hey the answer would have to be a
A) is the answer hope I helped good luck

Which of the following numbers is divisible by 24 ? (A) 13,944 (B) 15,746 (C) 15,966 (D) 16,012 (E) none of the above

Answers

Answer:

Only A is divisible by 24.

Step-by-step explanation:

A number is divisible by 24 if it's divisible by both 3 and 8.

Numbers are divisible by 3 if all their digits add to a multiple of 3, and numbers are divisible by 8 if the last 3 digits are divisible by 8.

Let's look at A, 13944. The numbers add up to [tex]1+3+9+4+4=21[/tex], which is divisible by 3.

944 is divisible by 8, and it makes 118.

So A works.

B is 15746.

[tex]1+5+7+4+6=23[/tex], so this won't work as 23 isn't divisible by 3.

C is 15966.

[tex]1+5+9+6+6=27\div3=9[/tex], so this works for 3 but let's check 8.

[tex]966\div8=120.75[/tex] so it's not divisible by 8, therefore not divisible by 24.

D is 16012.

[tex]1+6+0+1+2=10[/tex] and 10 isn't divisible by 3, so it doesn't work.

Hope this helped!

The only divisible is option A.13944 cause = 1+3+9+4+4 =21
21 which is divisible by 3
944 is divisible by 8 and it makes 118

simplified?
[tex]5 \sqrt{ - 8r} [/tex]
Im just confused on how the negative 8 will play out, and same with the non exponential variable.​

Answers

Answer:

[tex]10i\sqrt{2r}[/tex].

Step-by-step explanation:

[tex]5\sqrt{-8r}[/tex]

= [tex]5\sqrt{-1 * 2 * 2 * 2 * r}[/tex]

= [tex]5i\sqrt{2^2 * 2 * r}[/tex]            (i = the square root of -1)

= [tex]5i * 2\sqrt{2 r}[/tex]

= [tex]10i\sqrt{2r}[/tex]

Hope this helps!

5*sqrt(-8r) =
5i*sqrt(8r) =
10i*sqrt(2r)


The i is an 'imaginary number' and it represents the square root of -1.

What is the best estimate of the sum of $14.30, $143.08, and $19.74

Answers

Answer:

Step-by-step explanation:

ok so you start off by adding

  14.30

143.08

  19.74

 177.12

177.12 is close to 180 if u estimate in tens, 177 if ones

The addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

All real numerals and 0 are included in the category of whole numbers.

The process of adding up the different or more sums or figures.

The sum means plus sing is present between the terms.

The whole numbers are given below,

$14.30, $143.08, and $19.74

Then the summation of the whole numbers is given below.

⇒ $14.30 + $143.08 + $19.74

⇒ $177.12

Thus, the addition of the numbers $14.30, $143.08, and $19.74 will be $177.12.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Can someone please help me out? I'd really appreciate it.

Answers

Answer:

The scaling factor is 4.

Step-by-step explanation:

To find the scaling factor from A to B, we must know that these are similar triangles.  Since this is not stated in the problem, we will assume these are similar triangles.

Similar triangles simply have the same scaling ratio, allowing for any size triangle to be created with the same relative dimensions.  With this in mind, let's check to see the multiple of each side by simply taking the sides of the triangle B divided by the sides of triangle A.

40 / 10 = 4

44 / 11 = 4

72 / 18 = 4

Notice how each of the sides from triangle B to triangle A has the same multiple, 4.  This tells us that the scale from A to B is 4.

Hence, the scaling factor is 4.

Cheers.

457092789 is the answer

6.21(3.1) answer for number 6

Answers

The answer is 19.251

27.
Charlotte Brontë Linens Warehouse carries a $1,239,500 inventory. Charlotte Brontë Linens
estimates the annual cost of carrying the inventory at 32% of the inventory value. What is
the approximate annual cost of carrying the inventory?

Answers

Answer:

Hey there!

For this question we want to find 32% of 1239500.

0.32(1239500)=396640.

Hope this helps :)

The annual cost would be approximately 396,640

Using the similar triangles, which equation could be used to find the slope of line AB? A) m = p q B) m = q p C) m = n m D) m = q n

Answers

Your answer is A



Mark brainliest!

The coefficient of 8.2 N is
8
2
16

Answers

Answer:

2

Step-by-step explanation:

A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.

The format is not exactly clear with the expression in the question.

Assuming the expression is '8 * 2n', the coefficient would be 2.

'n' is getting multiplied by '2'.

'8' does not have a variable next to it, so it is just a term in the expression.

The product of 8 and 2 is 16. 16 is not in the expression.

If the expression was '8.2n', 8.2 would be the coefficient.

Brainilest Appreciated.

2 you’re welcome hope this helps

Please help me with this!!!

Answers

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!

I agree with the other person ;)

PLS HELP WILL GIVE BRAINLIEST

Answers

Awnser: none of the above
Explanation: none of them logically makes any sense in that form

The following frequency table shows the number of hours each of the staff members at Eroy's Electronics slept Thanksgiving night. Find the mean number of hours of sleep.

Answers

Answer:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

if u have question let me know in comments ^_^

Answer:

Step-by-step explanation:

Mean

=Sigma (Number of sleep ×Number of employees) / Sigma Number of employees

= (3×1) + (4×0) + (5×0)+ (6×2)+(7×1)+(8×1) / 1+0+0+2+1+1

= 3+0+0+12+7+8/ 1+0+0+2+1+1

= 30 / 5

= 6

So the mean of number of hour sleep is 6 hours.

I hope this helps

Find the length of KE. A. 30 B. 28 C. 15 D. 3

Answers

Answer:

28

Step-by-step explanation:

What value of p makes both sides equal the same? P = 3

37 - 9 = 28

21 + 7 = 28

So line KE and BE both equal 28

Hope this helps, and have a good day :)!

The length line KE and BE both equal 28.

Option (B) is correct.

Find the length of KE.

What is angle?

Figure which is formed by two rays or lines that shares a common endpoint.

Given that:

Let the value of

P = 3

Put the value of P

37 - 9 = 28

21 + 7 = 28

So, line KE and BE both equal 28

Learn more about angle here:

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The five-number summary for the number of touchdowns thrown by each quarterback in the British Football League is shown in the following table. About what per cent of quarterbacks in the British Football League threw more than 13 touchdowns?

Answers

Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

write the percent as a fraction or mixed number in simpelst form 35% A) 3 1/2 B) 13/20 C) 6 1/2 D) 7/20

Answers

Answer:

7/20

Step-by-step explanation:It is the same thing as .35. So just turn it into fraction and simplify.

Answer:

D) 7/20

Step-by-step explanation:

Divide 35 by 100:

35 / 100 = .35

Convert into a fraction and simplify:

[tex].35=\frac{35}{100}=\frac{35/5}{100/5}=\boxed{\frac{7}{20}}[/tex]

Option D should be the correct answer.

can somewon help i need help

Answers

Answer:

1875 cm3

Step-by-step explanation:

20 * 20 * 5 - (5 * 5 * 5) = 1875 cm3

Answer:

1,875

Step-by-step explanation:

*PLEASE ANSWER TY* A scale factor of 2 is applied to the dimensions of the prism. What effect will this have on the volume?

Answers

Answer:

The volume will be 8 times larger.

Step-by-step explanation:

Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8

The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have a three-dimensional figure shown in the picture.

The scale factor = 3

As we know, the volume can be found:

Volume = length×width×height

Let the volume of the figure is A

Volume = A cubic in

If the scale factor is applied to the dimensions of the prism:

The volume:

Volume =  (2)length×(2)width×(2)height

Volume = 2³(length×width×height)

Volume = 8A

Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

Learn more about the volume here:

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For lunch, you get tacos that cost $5.50. You also get chips and salsa for $3.99. What is the total cost of your lunch?

Answers

Answer:

9.49

Step-by-step explanation:

Add the price of the chips and salsa to the price of the tacos

5.50

+3.99

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

9.49

Answer: $9.49

Step-by-step explanation:

0+9 is 9 and 5+9 is 14 but carry the 1 to the left and add 5+3+1 and you get your answer $9.49

$5.50

+$3.99

————

$9.49

Annie tried to solve a problem step by step: 7.5 + k = 10 7.5 + k - 7.5 = 10 - 7.5 step 1 k = 2.5 step 2 Find Annie's mistake: A. Step 1 B. Step 2 C. Annie did not make a mistake

Answers

Answer:

(C) Annie did not make a mistake

Step-by-step explanation:

To isolate the variable k in the equation [tex]7.5 + k = 10[/tex], we'd have to subtract 7.5 from both sides so we just had k on one side.

This is exactly what Annie did, and therefore, her answer is correct.

Hope this helped!

Answer:

C. Annie did not make a mistake

Step-by-step explanation:

Substitute 2.5 for k in the equation and see if it is correct

Each time you substitute you should see that Annie answered the equation correctly

The angles of a pentagon are in ratio
9:10:12:14:15. What is the sum of measures of
the smallest and largest angles?

Answers

Answer:

  216°

Step-by-step explanation:

The ratio of the sum of smallest and largest to the total of all angles is ...

  (9 +15)/(9 +10 +12 +14 +15) = 24/60 = 0.4

__

The total of all angles in an n-gon is 180°(n -2), so the total of all angles in a pentagon is ...

  180°(5 -2) = 540°

Then the sum of smallest and largest angles is ...

  0.4(540°) = 216°

216* is the sum of measures of the smallest and largest angles

LO bisects NLM, Lm = 22, NO = 6, and LN = 14. What is the approximate value of x? A. x = 3.8 B. x = 9.4 C. x = 51.3 D. x = 73.3

Answers

14/6 = 22/x

Cross multiply:

14x = 132

Divide each side by 14

x = 9.4

The answer is x= 9.6

Please help As soon as possible!

Answers

Answer:

10

Step-by-step explanation:

To find the area of a parallelogram you need to use the expression A = bh

When you plug that in it will be 120 = 12b

After this, you need to solve (10)

Area: 120
Height: 12
Base: x
Base • height = area
120/12= 10
ANSWER: 10
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