Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54

Evaluate A1 (r)^n-1 For A1 = 2, R= 3, And N = 4.A. 216B. 18C. 32D. 54

Answers

Answer 1

Answer:

[tex]54[/tex]

Step-by-step explanation:

[tex] a_1 {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 18 \times 3 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)


Related Questions

If the figure below is a regular polygon, find the value of x.
(9x - 18)

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The value of x is 9(x-2)

3409/14 with decimal

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Answer:

243.5

Step-by-step explanation:

3409/14 times 7/7

By the way i divided both numerator and denominator by 77 because of gcf

Reduce

487/2

243.5

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Answer:

3.4×10⁴

Step-by-step explanation:

1.6×10⁴=1.6×10000=16000

5×10⁴=5×10000=50000

5000-16000=34000

=3.4×10⁴

Write an equation of the line that passes through the point (3,3) and is Parallel to the line y=-1/2x+3

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Answer:

[tex]y = - \frac{1}{2} x + \frac{9}{2} [/tex]

Step-by-step explanation:

find the y-intercept

[tex]3 = - \frac{1}{2} (3) + b \\ 3 = - \frac{3}{2} + b \\ \frac{6}{2} + \frac{3}{2} = b \\ b = \frac{9}{2} [/tex]

What is the missing value on the number line?

Hello, could you please help me with this? Thanks :)

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(brainly says i need more letters so here)

7/8

3.HELP plz No LINKS AND NO HACKERS i will give brainlyiest NO COPIE D ANSWERSFROM OTHER USERS OR WEBSITE I WILL REPORT!!!! A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.
(a) Write an equation to model the situation. Use the formula d = rt.
(b) Explain why it is reasonable to write the distance, d, as a positive number.
(c) How long did it take the diver to reach the surface?

Answers

Answer:

A scuba diver was exploring a reef 32.12 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min.

a. using the formula d = rt, so 32.12 m = 8.8m/min (t)

b. it is reasonable to write the distance as positive because the diver is accending/ going up the surface

c. t = 32.12/ 8.8 = 3.65 min

Step-by-step explanation:

hope this helps

What is an expression of -3/4

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6/8 I believe so, sorry if it’s wrong:)

Subtract 8 1/5 - 4 2/5
. Simplify the answer and write as a mixed number.

Answers

Answer:

3 4/5

Step-by-step explanation:

There are 6 triangles and 8 squares. What is the simplest ratio of triangles to total shapes?

Answers

Answer:

3:7

Step-by-step explanation:

The number of triangles is 6.

The number of squares is 8.

The total number of shapes is 14.

The unsimplified ratio of triangles to total shapes is 6:14.

The bigger number that both 6 and 14 can be divided by is 3.

That makes the ratio 3:7, and it cannot be simplified further.

What would be the all step you would take to solve the equation 2x + 1 = 10 - x?​

Answers

Answer:

3

Step-by-step explanation:

Move the terms : 2x + 1 =10 -x

Collect like terms

Calculate : 2x + x=10-1

Divide both sides

3x = 9

x = 3

what is the answer to this question (-4uv²)³​

Answers

Answer:

     [tex]-64u^{3}[/tex][tex]v^{6}[/tex]

Step-by-step explanation:

Answer:

(-64u³vto the 6th power)

Step-by-step explanation:

(4³u³v to the 6th power)

(-64u³vto the 6th power)

Help ME!!! This Homework is Confusing Me

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Answer:

I think it is d or a. I might be wrong sorry

Step-by-step explanation:

Find the perimeter of the figure below. Notice that one side length is not given.

Answers

Step-by-step explanation:

Perimeter of the quadrilateral = sum of the length of all the four sides. Note: Missing side of the quadrilateral = Perimeter of the quadrilateral - Sum of the length of three sides.

CAN SOMEONE PLEASE DO THESE 4 QUESTIONS

3.2x-1.7x+5.5=10

3/4x-1/4x+14=3

3(2x+1)+x=-39

m+4(2m-3)+-3

I WILL GIVE BRAINLIEST AND YOU ARE A LIFESAVER
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Answers

Problem

3.2x-1.7x+5.5=10

Steps:

1.5x + 5.5 = 10

1.5x X 10 + 5.5 X 10 = 10 X 10

15x + 55 - 55 = 100 - 55

15x = 45

15x/15 = 45/15

x = 3

Therefore questions ones answer is x = 3

Problem

3/4x-1/4x+14=3

Steps:

3/4x - 1/4x + 14 = 3

3/4x - 1/4x + 14 - 14 = 3 - 14

3/4x - 1/4x = -11

3/4x X 4 - 1/4x X 4 = -11 X 4

2x = -44

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x = -22

Therefore question two's answer is x = -22

Problem

3(2x+1)+x=-39

Steps:

7x + 3 = -39

7x + 3 - 3 = -39 - 3

7x = -42

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x = -6

Therefore question three's answer is  x = -6

Problem

m+4(2m-3)+-3

Steps:

= m + 4 (2m - 3) - 3

= m + 8m - 12 - 3

= 9m - 15

Therefore question four's answer is 9m - 15

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Answers

Answer: 8lbs

Step-by-step explanation:

The baby gained one pound

Assuming linear growth, the baby would weigh approximately 8 lbs after 4 weeks.

How to determine the weight of the baby

Assuming linear growth, we can use the concept of a slope to estimate the baby's weight after 4 weeks.

Given information:

Weight at birth (0 weeks): 7 lbs

Weight after 20 weeks: 12 lbs

We can calculate the rate of change (slope) of the baby's weight per week:

Slope = (Change in weight) / (Change in weeks)

Slope = (12 lbs - 7 lbs) / (20 weeks - 0 weeks)

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Now, using the slope, we can estimate the baby's weight after 4 weeks:

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Estimated weight change = 0.25 lbs/week * 4 weeks

Estimated weight change = 1 lb

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Estimated weight after 4 weeks = Initial weight + Estimated weight change

Estimated weight after 4 weeks = 7 lbs + 1 lb

Estimated weight after 4 weeks = 8 lbs

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what is the domain of f in the equation f(x)=2(x-1)^2-4

Answers

Answer:

[tex](-\infty, \infty)[/tex]

Step-by-step explanation:

There are no restrictions on the possible values of [tex]x[/tex], because you can square any number.

Because [tex]x[/tex] can be anything, the domain is all reals or [tex]\boxed{(-\infty, \infty)}[/tex] which means [tex]x[/tex] can be any real number.

1. What is the radius of the circle?


Worth max points

Answers

Answer:

[tex]7[/tex]

Step-by-step explanation:

We see that the circle is centered at [tex](1, 0)[/tex]. We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.

We know that the circle intersects the x-axis at [tex](8, 0)[/tex]. Therefore the radius of the circle is the distance between these points, in this case [tex]8-1=7[/tex].

So, the answer is [tex]\boxed{7}[/tex] and we're done!

hmmm i think it 7 lol

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Answers

I just did it on paper but hope that helps:)

How can distributive property be used to solve 7 x 391

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Answer:

7x ³⁹¹

Step-by-step explanation:

1: "x3" was replaced by "x^3".

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9514 1404 393

Answer:

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Step-by-step explanation:

There are an infinite number of equivalent expressions. One of them can be obtained by combining the terms

  y -(-3y) = y +3y = y(1 +3) = 4y

__

All of the expressions shown as equal are equivalent.

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Answers

Answer:

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Step-by-step explanation:

16 - 2 to the 3rd power over 16

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Step-by-step explanation:

the explantion is in the photo

Answer:

1/2

Step-by-step explanation:

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2 x 2 x 2=8

Your equation will then be 16-8/16

Next, you subtract 8 from 16

16-8=8

Your equation will then be 8/16

divide both 8 and 16 by 4

8/4=2, 16/4=4

=2/4

You then simplify 2/4 to it's lowest terms

2/2=1 , 4/2=2

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Evaluate the expression.
{[(20 – 32) = (-6)}? – 11} = (–7)
What is the value of the expression?
Enter your answer in the box.

Answers

{ [(20-32)÷(-6)]²-11 }÷(-7)= { [-12÷(-6)]²-11}÷(-7)= { [2]²-11}÷(-7)= { 4-11}÷(-7)= -7÷(-7)= 1

please mark this answer as brainlist

The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

What is the value of the expression?

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[(–12) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[2]² – 11} ÷ (–7)

⇒ {4 – 11} ÷ (–7)

⇒ (– 7) ÷ (–7)

⇒ 1

The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

More about the value of the expression link is given below.

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4. k(x) × g(x) × f(x)​

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[tex]k(x) \times f(x)[/tex]

[tex](2x + 5) \times (x - 1)[/tex]

[tex]2 x(x - 1) + 5(x - 1)[/tex]

[tex] ({2 x }^{2} - 2x) + (5x - 5)[/tex]

[tex] {2x}^{2} - 3x - 5[/tex]

________________________________

[tex]k(x) \times g(x) \times f(x)[/tex]

[tex]g(x) \times (k(x) \times f(x))[/tex]

[tex] ({6x }^{2} - 4x + {3x}^{4} ) \times ( {2x}^{2} - 3x - 5)[/tex]

[tex] {6x}^{2} ( {2x}^{2} - 3x - 5) - 4x ( {2x}^{2} - 3x - 5) + {3x}^{4} ( {2x}^{2} - 3x - 5)[/tex]

[tex]12 {x}^{4} - 18 {x}^{3} - 30 {x}^{2} - {8x}^{3} - 12 {x}^{2} - 20x + {6x}^{6} - 9x {}^{5} - {15x}^{4} [/tex]

Given that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the z score associated with the probability that a randomly selected adult has an IQ greater than 115.

Answers

Answer:

0.8413

Step-by-step explanation:

bad explainer srry

Answer:

Step-by-step explanation:

[tex](\frac{115-100}{15})=1[/tex]

because we're looking for the zscore associated with it being greater than we flip the sign

so the answer is just -1

Alyssa purchased 3 pounds of peanuts for $8.25. Write an equation that shows the relationship between the cost and the number of pounds purchased

Answers

Answer:$8.25 ÷ 3= x or 3·x =8.25

Step-by-step explanation:

3*x=8.25

3 Select the correct answer from each drop-down menu. The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, one on each side of the playground. The length of the playground island its width is w. The length of each side of the flower beds is a Which two equivalent expressions represent the total fencing material required to surround the playground and flower beds. Assume that the playground and beds do not overlap The total fending material required to fence the playground and both flower beds is​

Answers

Answer:

Get the perimeter of the each shape and add it all up to get the total fencing material required. 2 square flower beds = 2 x 4a = 8a 1 rectangular play ground = 2l + 2w  total fencing material = 8a + 2l + 2w  

Answer:

2l + 2w + 8a

Step-by-step explanation:

Write the equation of a line that goes through the point (2, 4) that is parallel to the
line y = 3x - 6.

Answers

Answer:

y = 3x - 2

Step-by-step explanation:

Parallel lines have the same gradient in this case 3 is the gradient.

We will use the point (2,4) to form our own equation.

4 will be y, 3 will be m, 2 will be x

All we need is to find the C in the equation y=mx + c

4 = 3(2) + c

4 = 6 + c

C = -2

Therefore;

y = 3x - 2

It was recently estimated that homes without children outnumber homes with children by about nine to seven. If there are 4912 homes in a county, how many of them
are homes without children

Answers

Answer:

Answer:929

Step-by-step explanation:

Step-by-step explanation:For every 11 children, 7 will have homes

1 A boat travels at an average speed of 15 km/h for 1 hour.
a Calculate the distance it travels in one hour.
b At what average speed will the boat have to travel to cover the
same distance in 2 hours?

Answers

Answer: 15km, 7.5kmh

Step-by-step explanation:

a. Distance travelled = speed * time = 15* 1 =15km

b. Distance = 15

time = 2hrs

Speed = distance/time = 15/2 = 7.5kmh

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