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

PLEASE HELP ME I GIVE BRANLYIEST
A school surveyed students, asking whether they are right-handed or left-handed. This table provides data from the survey.


Right-Handed Left-Handed

Boys 108 23

Girls 99 16


Fill the tables with the relative frequencies. If necessary, round your answers to the nearest hundredth.

Answers

Answer:

[tex]\left\begin{array}{ccc}&Right-Handed&Left-Handed\\Boys&108&23\\Girls&99&16\end{array}\right[/tex]

[tex].18+.82=1[/tex]

[tex].14+.86=1[/tex]

[tex]\left[\begin{array}{cccc}&Right-Handed&Left-Handed&Total\\Boys&.82&.18&1\\Girls&.86&.14&1\end{array}\right][/tex]

[tex].41+.59=1[/tex]

[tex].48+.52=1[/tex]

[tex]\left[\begin{array}{ccc} &Right-Handed&Left-Handed\\Boys&.52&.59\\Girls&.48&.41\\Total&1&1\end{array}\right][/tex]

Step by Step:

Step which two decimals added together equal 1?

0.86, 0.48, 0.41, 0.82, 0.59, 0.14, 0.52, 0.18

[tex]0.14+0.86=1[/tex], [tex]0.18+0.82=1[/tex], [tex]0.41+0.59=1[/tex], & [tex]0.48+0.56=1[/tex]

Now solve for the rows in the first table

[tex]108+23=131\\108 divided by 131=0.82\\Well remember,0.82+0.18=1[/tex]

so there is the first row for boys in the first table

Now solve for the second rows in the first table

[tex]99+16=115\\99 divided by 115=0.86\\Well remember, 0.86+0.14=1[/tex]

so there is the second row for girls in the first table

Now we do pretty much the same for table 2 just it's columns instead of rows

[tex]108+99=207\\108 divided by 207=0.52\\Well remember 0.52+0.48=1[/tex]

So we put 0.52 under boys RH(right-handed) and 0.48 under girls RH.

[tex]23+16=39\\23 divided by 39=0.59\\Well remember, 0.59+0.41=1[/tex]

So we put 0.59 under boys LH(left-handed) and 0.41 under girls LH.

Hope this makes sense and helps!!!

Answer:

first box= boys= .82, .18  girls= .86, 14

second box= boys= .52 .59 girls= .48 .41

Step-by-step explanation:

i did the test

Which choice shows the image of triangle ABC after a reflection over the y-axis followed by a rotation of 180° around the origin?

Answers

Answer: the second one

Step-by-step explanation:

The first one is reflection over the x-axis, rotated, and translated. The third one is rotated 90 degrees

The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.

What is the reflection on y-axis?

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

From the graph coordinates of triangle ABC are A(-5, 4), B(-2, 4) and C(-1, 1).

(x, y) becomes (-y, x)  in 180° clockwise rotation

A(-5, 4)→(-4, -5)

B(-2, 4)→(-4, -2)

C(-1, 1)→(-1, -1)

Now,

The reflection of point (x, y) across the y-axis is (-x, y).

Then, coordinates become

(-4, -5)→A'(4, -5)

(-4, -2)→B'(4, -2)

(-1, -1)→C'(1, -1)

The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.

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Mrs. Holland purchased a computer. She initially put down $105.40 and will pay $20.60 per
month until the computer is paid off. Use the equation b = 105.40 + 20.60m to determine
how many months it will take to pay off the computer if the total cost was $682.20

Answers

Answer:

It will take her 28 months

Step-by-step explanation:

You first subtract 682.20 and 150.40 to get 576.80. Then you divide 576.80 by 20.60 to get 28.

Answer:

The Answer you are looking for is 28 months.

Help please somebody

Answers

Answer:

10n + 4

Step-by-step explanation:

$10 * n games + $4 since $10 per game + the flat rate

Answer:

4n+10

Step-by-step explanation:

Does anyone know how to solve these two math problems??!

Answers

Answer:

1. x = -1

2. y = -3

Step-by-step explanation:

1. 5(5x+2) = 4(x+3)

5-5x+2 = 4x+12

5-5x+2 = 4x+12

-5x+3 = 4x+12

     -3         -3

-5x = 4x+9

-4x    -4x

-9x = 9

x = -1

2. -3³-2(2y-2) = 5y+4

-27-4y+4 = 5y+4

-4y-23 = 5y+4

     -4          -4

-4y-27 = 5y

+4y         +4y

-27 = 9y

y = -3

Answer:

1. 4.17

2.  -2.2

Step-by-step explanation:

Steps For Number 1

1.  solve put 5x and 1 together, then put two and three together.

5 - 6x +5 = 4

2. 6x + 5 =

x=  0.83

5 - 0.83 =  4.17

Steps For Number 2

1. -3^3 = -9

2. -9 - 2(2y-2) = 5y +4

3. solve for y in 2y -2

y = 0

4.  -9 - 2 = -7

5. -7 = 5y +4

5y +4 =-7 solve

     -4 = -4

  5y = -11 divide 5 by both

         

                   

remove all perfect squares from the square root of 180

Answers

Answer:

It should be 6 square root of 5 or about 13.4 (decimal form)

Harry likes to grow his own vegetables. He wants to harvest at least 129 squashes during the summer season. If he has already harvested 61 squashes and plans to pick 8 squashes every week, how many weeks will it take him to harvest at least 129 squashes?

Answers

Answer:

8.5 weeks

Step-by-step explanation:

to solve, you can start by subtracting 61 from 129 because he has already picked 61.

129 - 61 = 68

then, just divide 68 by 8 to find how many weeks it will take him.

68/8 = 8.5

it will take Harry 8 and a half weeks to harvest at least 129 squashes.

Harry needs 9 weeks to harvest at least 129 squashes.

What are inequalities and their types?

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.

Therefore, The inequality that represents the given situation is,

8w + 61 > 129.

8w > 68.

w > 68/8.

w > 8.5.

So, It will take him at least 9 weeks.

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1. Using the figure below, what is the measure of angle ABE?

Answers

Answer:

The angle of ∠ABE is 40°.

Step-by-step explanation:

Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.

Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.

please mark me brainliest :)

I’m really confused the question is on shapes

Answers

Answer:The polygon has 18 sides.

Step-by-step explanation;since it is a straight line, we get 8x since they said that each interior angle is 8 times the exterior angleso it is 8x =x which is the exterior angle +180 degrees since it is a sraight line.

n:

Answer:

A) Each Interior Angle = 180 degrees - (360 / number sides)

B) Each Exterior Angle = 360 / number of sides

A) = 8 * B)

8 * 360 / # sides = 180 - (360 / #sides)

We'll call # sides as "n".

2,880 / n = [ 180 - (360 / n)]

2,880 = n * [ 180 -(360 / n)]

3,240 = 180n

180n = 3,240

n = 18 sides.

The polygon has 18 sides which is an octadecagon.

Step-by-step explanation:

will mark bianleast plz plz i really need this
Triangle LMN is to be reflected across the x-axis.

What will be the vertices of the reflected triangle?


L'(–2, –1), M'(–3, –5), and N'(–6,–4)

L'(–2, 1), M'(–3, 5), and N'(–6,4)

L'(–1, 2), M'(–5, 3), and N'(–4,6)

L'(2, 1), M'(3, 5), and N'(6,4)

Answers

Answer:

fourth option

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y), thus

L(2, - 1 ) → L'(2, 1 )

M(3, - 5 ) → M'(3, 5 )

N(6, - 4 ) → N'(6, 4 )

Need help on this please, a positive answer only :)!

Answers

Answer:

all statements are true

Step-by-step explanation:

for A  real numbers are all numbers B is all the x values C when f(x)=5 x=-2 D when f(x)=-1 x=-6

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

Answer:

27

Step-by-step explanation:

9(12)/4

9(3)

27

Answer:

Please mark me brainliest and I hope this helped!

D. 27

Step-by-step explanation:

First, we look at the exponents and for 3, 3 to the power of 2 is 3 times 3. The answer to that is 9. Next, we look at 2 to the power of 3. That is 2 times 2 times 2. That equals 8. 8 + 4 = 12. 12 * 9 = 108. The numerator is 108 so now we go to the bottom and 2 to the power of 2 is 2 times 2. So the denominator is 4. 108 divided by 4 is 27 and that's your answer!

Find x.
A)7
B)7"2
C)"(14)

Answers

Answer:

x = 7

Step-by-step explanation:

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

tan theta = opposite/ adjacent

tan 45 = 7/x

Multiply each side by x

x tan 45 = 7

Divide each side by tan 45

x = 7/ tan 45

x = 7

Answer:

7

Step-by-step explanation:

It is a 45 45 90 triangle

meaning that the side lenghts will be x, x, x root 2

the hypotenuse will be x root 2, so that means that the side length will be 7

A point is one-dimensional
O A. True
O B. False
SUBMIT​

Answers

Answer:

This is true.

Step-by-step explanation:

A point can only be on one dimension.

Answer:

FALSE

Step-by-step explanation:

i just took it

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2X
h(g(x))) =
[X²+
X+

Answers

Answer:

- 8x² - 40x - 50

Step-by-step explanation:

Begin by evaluating the inside, that is g(f(x))

Substitute x = f(x) into g(x), that is

g(f(x))

= g(2x + 5)

= (2x + 5)² ← expand using FOIL

= 4x² + 20x + 25

Now substitute x = 4x² + 20x + 25 into h(x)

h(4x² + 20x + 25)

= - 2(4x² + 20x + 25) ← distribute parenthesis by - 2

= - 8x² - 40x - 50

Thus

h(g(f(x))) = - 8x² - 40x - 50

6-5 solving rational equations 8/x+3=1/x+1

Answers

Answer:

x = -5/7

Step-by-step explanation:

8/(x+3)=1/(x+1)

Using cross products

8*(x+1) = 1*(x+3)

Distribute

8x+8 = x+3

Subtract x from each side

8x-x +8 = x+3-x

7x +8 =3

Subtract 8 from each side

7x+8-8 = 3-8

7x = -5

Divide by 7

7x/7 = -5/7

x = -5/7

Which is f(6) for the quadratic function graphed?

-2
-0.5
1.5
4

Answers

Answer:

f(6) = 4

Step-by-step explanation:

We want the value of the function when x =6

Go to where x=6 then go up to when you hit the blue line then find the y value

f(6) = 4

The students in Mrs. Willow's reading class are all reading the same novel independently. Four students create a graph of their reading rates, in words per minute, as shown below.



Which student reads the fastest?

Answers

Answer:

Sarah.

Step-by-step explanation:

Do not be fooled by how sharp the incline is, all of these graphs are labeled at different increments on both the x and y axes.

We will now solve this problem by figuring out each student's words per minute by dividing their words read (y-axis) by their time (x-axis).

Since the graphs are all linear, meaning they are constant and will never change. No matter what point we use on either graph we will come to the same words per minute for that student. For the sake of this explanation I will use the last point on each graph.

Charlie: Charlie read 1,750 words in 10 minutes, meaning he read at 175 words per minute. 1,750 / 10 = 175

Riley: Riley read 10,000 words in 50 minutes, meaning she read at 200 words per minute. 10,000 / 50 = 200

Sarah: Sarah read 1,300 words in 6 minutes, meaning she read at 216.67 words per minute. 1,300 / 6 = 216.67

Mason: Mason read 1,000 words in 5 minutes, meaning he read at 200 words per minute. 1,000 / 5 = 200

In conclusion, Sarah reads the fastest at 216.67 words per minute!

What is the slope of a line that is perpendicular to the graph of
y= 5x + 5?

Answers

-5/1 is the slope so the answer is -5 because you pick 2 points and use point slope formula or
y1-y2/x1-x2

Carl bought 17 packs of baseball cards at a flea market, at a total cost of $37.91. If each pack of cards cost the same amount, how many much de each pack cost

Answers

Answer:

[tex]=2.23[/tex]$

Step-by-step explanation:

[tex]\frac{37.91}{17}\\\mathrm{Divide\:the\:numbers:}\:\frac{37.91}{17}=2.23\\=2.23[/tex]

Answer:

$2.23

Step-by-step explanation:

17 packs = $37.91

/17. /17.

1 pack = $2.23

What does this mean and can someone give me an example for number 1 ?

Answers

You can get 1 dollar each day
1 name trapezoid and description have 2 right angles

What is the surface area of this shape? thank you :)

Answers

Answer:

105

Step-by-step explanation:

5x3=15

2x3=6

2x6=14+(4x1)=18

2x6=14+(4x1)=18

1x3=3

2x3=6

4x3=12

6x3=18

add all of them...

=105

if its right can u pls mark as brainliest?

The total surface area of the shaped figure with the given height, length and width in the diagram is 100cm².

What is rectangular prism?

A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.

The surface area of a rectangular prism is expressed as;

S.A = 2(lw + lh + wh)

Where l is length, w is width and h is height.

Given the data in the image;

For the first rectangular prism

Height h = 4cmLength l = 1cmWidth w = 3cm

For the second rectangular prism

Height h = 2cmLength l = 5cmWidth w = 3cm

Now, surface area of the first rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(1cm×3cm + 1cm×4cm + 3cm×4cm)

S.A = 2( 3cm² + 4cm^2 + 12cm² )

S.A = 2 × 19cm²

S.A = 38cm²

Next, the surface area of the second rectangular prism is;

S.A = 2(lw + lh + wh)

S.A = 2(5cm×3cm + 5cm×2cm + 3cm×2cm)

S.A = 2( 15cm² + 10cm^2 + 6cm² )

S.A = 2 × 31cm²

S.A = 62cm²

Total surface area TSA = 38cm² +  62cm²

T.S.A = 100cm²

Hence, the total surface area of the shaped figure with the given height, length and width in the diagram is 100cm²

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Which type of graphs allows the reader to view the raw data values?
Select one or more:
A Box Plot
B Stem-and-leaf plot
C Dot plot
D Histogram

Answers

Answer:

The correct option is B

B) Stem and Leaf plot

Step-by-step explanation:

The purpose of stem and leaf plot is to show the data distribution while retaining its uniqueness. Stem and leaf plot shows the raw values by retaining the original data. It is usually recommended for batches between 15 and 150 data points.

In Stem and Leaf plot, the leaves are usually the last digit of a data, which stems are the remaining digits. For example if we have 2 number suppose 171 and 176, then in stem and leaf plot, as 17 is common, it can be the stem, while last digits of both numbers i.e 1 and 6 are leaves. It can be written as:

17 |  1   6

The table represents a liner function. What is the slope of the function?
O-3
O-2
O 3
O 4

Answers

Answer:

The slope is 3.

Step-by-step explanation:

Let's use the slope formula to calculate the slope of this function. Remember, slope equals rise over run, or the difference between y coordinates divided by the difference between x coordinates of 2 points on the graph.

Let's use the last 2 points in the table: (1, 7) and (2, 10)

[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

= [tex]\frac{10 - 7}{2 - 1}[/tex]

= [tex]\frac{3}{1}[/tex]

The slope of this function is 3!

Hope this helps :) Feel free to ask me any questions!

circumference in terms of pi does anyone know this?

Answers

Answer:

15 pi

Step-by-step explanation:

Answer:

15π cm

Step-by-step explanation:

The circumference of a circle can be found using the following formula:

c= d* π

We know that the diameter of the circle is 15 centimeters. Therefore, we can substitute 15 cm in for d

c= 15 cm * π

Since we are told to find the circumference in terms of pi, the answer is left as:

c= 15*π  cm

c= 15π cm

Please somebody help me with this ASAP!!!

Answers

Answer:

Please mark me brainliest and I hope this helps!

Answer: 52

Step-by-step explanation:

The length of the path is shown by the lines that trace the outside of the shape. The lines are equal to: 13 + 13 + 9 + 3 + 4 + 10

That is equal to 26 + 9 + 7 + 10.

Which is equal to 35 + 17.

And our final answer is 52.

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. Where is the focus of the flashlight?

Answers

Answer:

F(2, 11/2)

Step-by-step explanation:

The expression:

(x-2)² = 10(y - 3)

can be rewritten in the vertex form as follows:

(x-2)² = 10y - 30

(x-2)² + 30 = 10y

1/10(x-2)² + 3 = y

General vertex form is:

y = a(x-h)² + k

then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10

The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:

p = 1/(4*1/10) = 5/2

F(2, 3+5/2) = F(2, 11/2)

Answer:

C is the answer

Step-by-step explanation:

I'm never wrong.

Consider the quadratic function f(x) = x2 – 5x + 6.
What are the values of the coefficients and constant in the function?
a=
b =
с =

Answers

a=1

b=-5

c=6

Coefficient is very easy. Just take the number in front of the constant x

Answer:

a = 1

b = - 5

c = 6

Step-by-step explanation:

f(x) = ax² + bx + c

f(x) = x² - 5x + 6

a = 1

b = - 5

c = 6

Which expression is equal to (−3x2−2)(4x2+1)? −12x4−11x2−2 −12x4−5x2−2 −12x2−11x−2 12x4−11x2−2

Answers

Answer:

[tex]-12x^4-11x^2-2[/tex]

Explanation:

Step 1 - Expand

[tex](-3x^2-2)(4x^2+1)[/tex]

[tex]-12x^4-3x^2-8x^2-2[/tex]

Step 2 - Combine like terms

[tex]-12x^4-3x^2-8x^2-2[/tex]

[tex]-12x^4-11x^2-2[/tex]

Therefore, the expression that is equal to [tex](-3x^2-2)(4x^2+1)[/tex] is [tex]-12x^4-11x^2-2[/tex].

Answer:

On Edge, the answer is D. 31x2 – 2.

Find the equation of the linear function
represented by the table below in slope-
intercept form.
X
у
-3
-6
1
1
-2
5
2
9
6

Answers

Answer:

I think that the answer is C D E

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