The first two terms of a geometric sequence are a1 = 1 and a2 = 3. Find a4, the fourth term of the sequence. Question 1 options: A) 81 B) 27 C) 243 D) 9

Answers

Answer 1

Answer:

B)

Step-by-step explanation:

Common ratio = a2/a1 = 3/1 = 3

[tex]a_{n}=ar^{n-1}\\\\a_{4}=1*3^3\\\\ = 27[/tex]


Related Questions

Rewrite each of the following questions as a statistical question. I WILL GIVE BRAINLIEST!!
a. How many pets does your teacher have?
b. How many points did the high school soccer team score in its last game?
c. How many pages are in our math book?
d. Can I do a handstand?

Answers

Answer:  

How many pets do my teachers have?

How many points did the high school soccer team score in its last few games?

Which of our school books has the most pages?

How many handstands can I do in 10 mins?

Step-by-step explanation:

To turn a question into a statistical question, make the question so that you can collect more than one piece of data. This is what makes a statistical question statistical.

The Statistical question are:

How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?

What is Statistical Question?

A statistical query will ask a question with a variable response. After collecting and analysing data, the answer might provide an interpretation of the information.

A statistical question is one that can be answered by gathering varying amounts of data.

Make the question so that you can collect more than one piece of data to convert it into a statistical query.

So, the Conversion into statistical question are

How many pets do my teachers have?How many points did the high school soccer team score in its last few games?Which of our school books has the most pages?How many handstands can I do in 10 mins?

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what is the exact volume of the cylinder? enter your answer, in terms of pi, in the box.

Answers

Answer:

Step-by-step explanation:

r = 8 in

h = 5 in

Volume of cylinder = πr²h

                                = π * 8 * 8* 5

                                = 320π in³

Answer:

v=hpir^2

h=5

r=8

v=5pi8^2

v=5pi64

v=320pi cubic inches

Step-by-step explanation:

Pls Help!!!
Just an example of how to do it pls!

Answers

10m + n^2/4

m = 5

n = 4

We can now substitute numbers in for the variables.

10(5) + (4)^2/4

50 + 4^2/4

50 + (4 * 4)/4

50 + 16/4

50 + 4

= 54

Answer:

Its 54 guys explanation in COMMENTS

Heres rule for 2nd term

x^n/x^(n-1) = x

−2⋅f(−6)−7⋅g(−7) = ?

Answers

Answer: +12f +49g

-2f(-6)-7g(-7)

No if your looking for the graph answer on Khan academy then it's 11

what is the absolute value of l 10 - 11 l =

Answers

Answer:

1

Step-by-step explanation:

l 10 - 11 l = |-1|= 1

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]\left|10-11\right|[/tex]

[tex]\left|-1\right|[/tex]

[tex]=1[/tex]

There are 615 people in a population. Is 55 people enough for a sample?
ANSWER ASAP

Answers

Answer: Yes

if the selection is randomly picked and it's within the statistical population.

Step-by-step explanation:

Sampling is the random selection of objects within the statistical data or population.

This random selected individual will represent the whole population.

If there are 615 people in a population, 55 people will be enough for a sample if the selection is randomly picked and it's within the statistical population.

Which of these statements is true for f(x) =
- (3)
A. The range of (x) is y to
B. The domain of fx) is x > 0.
C. It is always increasing
D. The graph contains

Answers

D jabalís snensoans s

GIVING BRAINLIEST TO PERSON AHO ANSWERS FIRST!!
match the given areas with the correct figure. all areas have been rounded to the nearest whole number. (zoom in to see answers)

Answers

Please refer to the photograph attached for the answer
Hope you find the answers correct
Sorry you will find it really small please zoom in to see the answer to this question
Sorry for the inconvenience about the small answers

4x + 7y= 60
- 4x + 7y= -4
O A. (1,0)
O B. (4,7)
O C. (8,4)
OD. (2,4)

Answers

Answer:

C. (8, 4)

Step-by-step explanation:

I graphed it

Answer:

(8,4)

Step-by-step explanation:

4x + 7y= 60

- 4x + 7y= -4

Add the two equations together to eliminate x

4x + 7y= 60

- 4x + 7y= -4

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

  14y = 56

Divide each side by 14

14y/14 = 56/14

y = 4

Now find x

4x +7y = 60

4x +7(4) = 60

4x+28 = 60

Subtract 28 from each side

4x = 60-28

4x= 32

Divide by 4

4x/4 = 32/4

x =8

Please answer the attachment below and say which number goes in the first or second, etc.

Answers

Answer:

use calculator

Step-by-step explanation:

1/500=0.002

3 2/25=308%

2.6=2 6/10

0.25%=0.0025

Answer:

They are actually in the correct order left to right !

Step-by-step explanation:

1/500 is 0.002 because 0.002 is pronounced "two thousandths" and 0.001 is pronounced "one thousandth", but it's written as 0.001 OR the fraction 1/1000! Using this you can infer that "two thousandths" is twice as large as 1/1000.

1/25 is 0.04, so 2/25 is 0.08 add the 3 and get 3.08. When displayed percentages in decimal form 100% = 1, so 300% = 3, therefore 308% = 3.08.

In the number 2.6 the decimal .6 is in the TENTHS place and so you can formally say this as "two and six tenths", which how the fraction 2 6/10 is also said!

As stated above when displaying percentages in decimal form:

100% = 1,

25% = 0.25,

1% = 0.01,

0.25% = 0.0025!

Evaluate the following expression.
(5x)"
1

Answers

Answer:

1

Step-by-step explanation:

Anything to the power of zero is one

Help please.....anyone

Answers

Answer:

200 dollars

Step-by-step explanation:

I’m confuse I need help

Answers

Answer:

f(-5) = -5/4

Step-by-step explanation:

Answer:

Answer is -1/20

Step-by-step explanation:

Hope this helps.

Two friends each choose a slice of pizza with one topping. The available
toppings are pepperoni (P), onions (O), meatballs (M) and sausage (S).
Write an organized list using the format (Friend 1. Friend 2) to represent
the sample space of toppings chosen between the two friends.​

Answers

Answer:

Sample space: PP, PO, PM, PS, OP, OO, OM, OS, MP, MO, MM, MS, SP, SO, SM, SS.

Step-by-step explanation:

Suppose Friend 1 select pepperoni, then Friend 2 can choose between 4 options. This gives us 4 possibilities. Then, for each selection made by Friend 1, there are 4 possibilities, given that Friend 1 has 4 different options,  the sample space consists of 16 outcomes.

Simplify the radical of that

Answers

Answer:

9 sqrt(d^6) thus d)

Step-by-step explanation:

An object has a mass of 35.0 grams. On Anthony’s balance, it weighs 38.5 grams. What is the percent error of his balance?

Answers

Answer:

10%

Step-by-step explanation:

35 ÷ 100 = 0.35

38.5 - 35 = 3.5

3.5 ÷ 0.35 = 10%

Pls do 4,5 for 7 points.

Answers

Answers:

6-5

please see the attached picture for full solution

hope it helps

Good luck on your assignment...

What is this angle ?


A.It is an adjacent angle.
B.It is a right angle.
C.It is a vertical angle.
D.It is a supplementary angle.

Answers

Answer: Angles 1 and 3 are adjacent to angle 140. (because they are next to each other)

Angles 1 and 2, 1 and 140, 140 and 3, and 3 and 2 are supplementary (because together they add up to 180 degrees)

Angles 140 and 2 and 1 and 3 are vertical angles because they are across from each other.

This may be a little confusing, so don't be afraid to ask for clarification, but great luck!

What is the common ratio for this geometric sequence? 64, 16, 4, 1, … A. B. 4 C. D. 8

Answers

Answer:

1/4

Step-by-step explanation:

Each term is a fourth of the term before.

So, each term is the previous term multiplied by 1/4

Answer:

1/4

Step-by-step explanation:

Which equation represents the graphed function?
O y=-3x + 3
O y= 3x - 3
Oy= 3x - 1/3
O y=-1/3x+3

Answers

Answer:

y = -1/3x+3

Step-by-step explanation:

use slope formula y₂-y₁/x₂-x₁ plug in the values and get the answer.  y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

The equation that represents the graphed function would be; y = -1/3x+3

We know that the slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that trying to find the slope between.

Now plug in the values and get the answer.  

y2 is y coordinate of the second point and and y1 is the y coordinate of the first point same with x2 and x1

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3-2) / ( 0-3)

m = -1/3

The equation will be  y=-1/3x+3

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Find the volume of a sphere, in cubic centimeters whose radius is 3
centimeters.

Answers

Answer:

113.1

Step-by-step explanation:

V=4

3πr3=4

3·π·33≈113.09734

113.1. Hhh uhh hi Ik k mo oh hey Ik my I nu jj FM gm gm mi m

someone plz help i need it in like 3 minutes

Answers

Answer:

B

Step-by-step explanation:

A: -(3/-2)=-(-3/2)=3/2

B:3/-2=-3/2

C:-(-3/2)=3/2

D:-3/-2=3/2

Find the slope of a linear function passes through the points (3,2) and (-4,1)

Answers

Answer:

1/7

Step-by-step explanation:

We can use the slope formula(k=y₁-y₂/x₁-x₂) to solve this problem

k = 2-1/3-(-4) = 1/7

Match each quadratic function with its respective graph.

f (x) = x^2 + 6x - 5
f (x) = x^2 - 4x + 5
f (x) = -x^2 - 2x +3
f (x) = x^2 + 4x - 5
f (x) = -x^2 + 2x - 3
f (x) = x^2 - 6x + 5

Answers

The quadratic functions that fits with its respective graph are.

1). f (x) = x^2 - 4x + 5

2). f (x) = -x^2 - 2x +3

3). f (x) = x^2 - 6x + 5

Here is how it looks.

The graph has been plotted to show the graphs that corresponds to the equations.

What is a Quadratic Equation?

A quadratic equation is what can be written in the form of ax²+bx+c=0

The equations given are

f (x) = x² + 6x - 5

f (x) = x² - 4x + 5

f (x) = -x² - 2x +3

f (x) = x² + 4x - 5

f (x) = -x² + 2x - 3

f (x) = x² - 6x + 5

The quadratic equations are plotted to determine which graph is corresponding to which equation.

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What is the volume of the shed?

Answers

Answer:

38 m^3

Step-by-step explanation:

The shape of the shed is a prism.

volume = area of base * height

The base of the prism is the front face of the shed. The height of the prism is the 2 m distance between the front base and the back base.

area of base = area of rectangle + area of triangle

The front base consists of a rectangle with length 5 m and width 3 m and a triangle with base 5 m and height 1.6 m

area of base = LW + (1/2)bh

area of base = (5 m)(3 m) + (1/2)(5 m)(1.6 m)

area of base = 15 m^2 + 4 m^2

area of base = 19 m^2

height of prism = 2 m

volume = area of base * height

volume = 19 m^2 * 2 m

volume = 38 m^3

38m^3 after working it all out (took ages lol)

Which of these graphs do not represent constant rates of change? Check all that apply.

Answers

Answer:

A,D

Step-by-step explanation:

I'm taking the test

The first and the fourth graph do not represent constant rates of change. Hence, option A and option D are correct.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the first and the fourth graph the function follows a curved graph because of it, it does not follow linearity. In the second and third graphs, the function follows a linear line, therefore, it shows a constant rate of change.

Hence, option A and option D are correct.

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Write the equation of the line with the following characteristics.

a)Parallel to y=7x+2 through the point (0,0)

b)Slope of 2 through the point (0,−3)

c)A horizontal line through the point (0,3)

d)A vertical line through the point (−2,0)

PLZZZZ HELP VERY URGENT

Answers

Answer:

y = 7x

y = 2x -3

y = 3

x = -2

Step-by-step explanation:

Slope-intercept form: y= mx+bParallel lines have same slope

a)Parallel to y=7x+2 through the point (0,0)

This line will have a form:

y= 7x + b

Considering the given point of (0,0), to find the value of b:

0= 7*0+b ⇒ b =0

The line is:

y = 7x

b)Slope of 2 through the point (0,−3)

Solving as above:

y= 2x + b-3 = 2*0 + b ⇒ b = -3y = 2x -3

c)A horizontal line through the point (0,3)

A horizontal line will have constant value for y for any value of x:

y = 3

d)A vertical line through the point (−2,0)

A vertical line will have constant value of x for any value of y:

x= -2

The above table shows the number of widgets, gizmos, and blibbets purchased by a company for three months and the total amount spent for all items each month. Let x1, x2, x3 represent the cost for each widget, gizmo, and blibbet. Complete the linear system:

Answers

Answer:

Step-by-step explanation:

Cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

What is Cramer's rule?

Cramer's rule is a form of formula for finding the solution of linear equations system of with as many equations as unknown.

Given that,  

[tex]\left\{\begin{matrix}11x_1& 16x_2 & 25x_3 & =971\\15x_1& 22x_2& 8x_3 & =1104 \\ 9x_1& 12x_2& 17x_3& =730 \\\end{matrix}\right.[/tex]

solution by Cramer's rule

[tex]A = \begin{vmatrix} 971& 16& 25\\1104 & 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A = -320[/tex]

[tex]A_1={\begin{vmatrix} 971& 16& 25\\ 1104& 22& 8\\ 730& 12& 17\\\end{vmatrix}[/tex]

[tex]A_1 = 7210[/tex]

[tex]A_2=\begin{vmatrix}11 & 971 &25 \\ 15& 1104 & 8 \\ 9& 730& 17\\\end{vmatrix}[/tex]

[tex]A_2=-10135[/tex]

[tex]A_3=\begin{vmatrix} 11& 16& 971\\ 15& 22& 1104\\ 9& 12& 730\\\end{vmatrix}[/tex]

[tex]A_3=-2770[/tex]

[tex]x_1=A_1/A\\ x_2=A_2/A\\ x_3=A_3/A\\[/tex]

[tex]x_1=\frac{-7210}{-320} \\ x_2=\frac{-10135}{-320} \\ x_3=\frac{-2770}{-320} \\[/tex]

[tex]x_1=\frac{721}{32} \\ x_2=\frac{2027}{64} \\ x_3=\frac{277}{32} \\[/tex]

[tex]x_1=22.53 \\ x_2=\ 31.67 \\ x_3=8.65\\[/tex]

Hence cost of widget is 22.53, gizmo is 31.67, and blibbet is 8.65.

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Amar tried to evaluate an expression step by step. -2 + 5 - (-3)
= -2 + 5 - 3 1
= -2 + 2 2
= 0 3
Find Amar’s mistake.
Choose 1 answer:
Ⓐ 1
Ⓑ 2
Ⓒ 3
Ⓓ Amar did not make a mistake.

Answers

Answer:

1.

Step-by-step explanation: - (-3) should be a positive 3 when simplified. Whenever there is two negative sign in front of a number it is going to be positive.

The solution to the expression is A = 6

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the expression , we get

A = -2 + 5 - ( -3 )

On simplifying , we get

Step 1 :

A = -2 + 5 + 3

The - ( -3 ) becomes positive value and Amar made a mistake in Step 1

So , the value of A is

Step 2 :

A = -2 + 8

On simplifying the equation , we get

Step 3 :

A = 6

Therefore , the value of A is 6

Hence , the expression is A = 6

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Find the prime factorization: 49 i am stuck

Answers

Answer:

49 can be broken down into 7 * 7 so the prime factorization is simply 7².

Answer:

Bruhhainliest

Step-by-step explanation:

7 and 7

1 and 49

7 x 7 is the prime factorization

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