What is the sum of the geometric sequence 2, 8, 32, if there are 8 terms?

Answer:

See below ↓↓↓

Step-by-step explanation:

Subquestion #1

Subquestion #2

Subquestion #3

#1

[tex]\\ \rm\Rrightarrow 2x+48=180[/tex]

[tex]\\ \rm\Rrightarrow x+24=90[/tex]

[tex]\\ \rm\Rrightarrow x=66[/tex]

#2

[tex]\\ \rm\Rrightarrow 4x+7+35=90[/tex]

[tex]\\ \rm\Rrightarrow 4x+42=90[/tex]

[tex]\\ \rm\Rrightarrow 4x=48[/tex]

[tex]\\ \rm\Rrightarrow x=12[/tex]

#3

[tex]\\ \rm\Rrightarrow 3x+54=180[/tex]

[tex]\\ \rm\Rrightarrow 3x=126[/tex]

[tex]\\ \rm\Rrightarrow x=42[/tex]

Answer:

62

Step-by-step explanation:

In this scenario, we would use BODMAS to determine where to start.

B - Brackets

O- Of

D - Division

M - Multiplication

A - Addition

S - Subtraction

First, let's start with the brackets.

16 X [tex]\frac{1}{2}[/tex] is the same as 16 X 0.5.

16 X [tex]\frac{1}{2}[/tex] = 8

Next is the division sum.

32 ÷ 4 = 8

Afterwards, we multiply both answers.

8 X 8 = 64

Your answer is then minused by 2 and leads to the final answer.

64 - 2 = 62

Answer:

4x-1<11

4x<11+1

4x<12

x<12/4

x<3

Answer:

161° and 19°

Step-by-step explanation:

supplementary angles =180

(142+x)+(x)=180

142+2x=180

2x=180-142

2x=38

x=19

142+19=161

The 99% confidence interval will be (71.76, 78.23), (55.27, 56.73), and (38.71, 41.29).

The test statistic for 99% confidence interval is 2.58. Therefore, the 99% confidence interval when x = 75, s = 10, and n =64 will be:

= [75 - (10 × 2.58)/✓64, 75 + (10 × 2.58)/✓64,]

= 71.76, 78.23

The 99% confidence interval when x = 56,5 = 2, and n= 50 will be:

= [56 - (2 × 2.58/✓50), 56 + (2 × 2.58/✓50)]

= 55.27, 56.73

The 99% confidence interval when x = 40, s = 3, and n = 36 will be:

= [40 - (3 × 2.58)/✓36, 40 + (3 × 2.58)/✓36]

= 38.71, 41.29

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Answer:

C. 108.5 square feet

Step-by-step explanation:

Area of the deck

Answer:

Step-by-step explanation:

so, 50+75=125.

180-125=55.

There can be-

130, 95, and 125

The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is  $22.15.

In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.

Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85

Change =  $85 - $62.85 = $22.15

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Step-by-step explanation:

17) no problem were noticed, just:

reflecting across Y-axis changes the coordinate 'x', no changes for coordinate 'y';

reflecting across X-axis changes the coordinate y, no changes for coordinate 'x'.

For more info see the attached picture.

Answer:

Step-by-step explanation:

To find the slope, pick any two points fromthe line.

(2,2)  & (0,-4)

x₁ = 2 & y₁ = 2

x₂ = 0 & y₂ = - 4

[tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

          [tex]\sf =\dfrac{-4-2}{0-2}\\\\\\ =\dfrac{-6}{-2}\\\\\\=3[/tex]

Slope = 3

At y-intercept x = 0.

From the graph, y-intercept = -4

Equation of the line: y = mx + b

y = 3x - 4

Answer: (A) 11,-2/5

Step-by-step explanation:

when we solve the equation we get x=10 -5/2y and  3 x- 10 y = 37

then we substitute the value of "x"  3 (10-5/2y)- 10y=37

then we substitute the value oh "y" y= -2/5

solution

(x,y) = (11, -2/5)

Answer: 1/5 or 20%

Step by Step Explanation:

Since there is 10 possible out comes, and you favor 2 of them, roling the die once will give you a 10/2 or 1/5 chance of getting 3 or 5.

Formula:  Number of outcomes divided by Favorable Outcomes

Answer:

5 prism all have same volume

Step-by-step explanation:

Answer:

9 x 8/2 = 36  l     36 x 9 = Volume

Step-by-step explanation:

we know base is a triangle to to find volume is area of the base times the height and on the right side of the figure, (look at photo) the height is 9 so just do 36 times 9 to get the volume.

hope this helps :D have a good night!

Answer:

871.9 feet,

Step-by-step explanation:

tan 54 = 1200/ x   where x is the distance you have to walk.

x = 1200 / tan54

= 871.85

Answer:

200

Step-by-step explanation:

main steps in solving algebraic equations are number one we tie the up the equation. So basically expand any brackets or divide out any fractions.

Answer:

Below in bold.

Step-by-step explanation:

Area of a kite = 1/2 * D1 * D2   were D1 and D2 are the 2 diagonals

D1  = 5 + 2.5 = 7.5 and D2 = 2*44444.5 = 9

So area = 1/2 * 7.5 * 9

= 33.75.

Answer:

33.75 Ft

Step-by-step explanation:

(5*4.5)/2+(5*4.5)/2+(4.5*2.5)/2+(4.5*2.5)/2

Answer:

4 almsot 5. The exact answer is 4.90196078431

Step-by-step explanation:

each photo cost $4.08 with shipping. 20 dvided by 4.08 is 4.90196078431. But since you cant order 0.9 of a photo Lila can order only 4.

Answer:

Graph-d

Step-by-step explanation:

We are given that,Each month, Alex’s cellphone plan costs $15 and additional 0.10 per minute of use. The equation that would represent Alex's total monthly costs would be linear equation (equation of a line). Linear equation has the following form:

[tex]y = mx + b[/tex]

in this case,

Since Alex’s cellphone plan initially costs $15, b would be 15 . Again he has to pay an additional cost of $0.10 per minute of use. hence, m would be 0.10 or ⅒ . Therefore our equation of line is

In conclusion

Graph d represents Alex’s total monthly cost

Answer:

C, those who vote FOR the Ballet Measure tend to be from District 2.

Step-by-step explanation:

Look carefully, read the questions! Okay! Cya!

Those who vote for the ballot measure tend to be from District 2. The correct option is C.

To calculate the relative frequency, we need to divide each cell value by the total number of people who voted. This will give us the proportion of people in each category.

District 1:

For: 13/75 ≈ 0.1733

Against: 12/75 ≈ 0.16

District 2:

For: 15/75 ≈ 0.2

Against: 10/75 ≈ 0.1333

District 3:

For: 9/75 ≈ 0.12

Against: 16/75 ≈ 0.2133

Based on the relative frequencies, we can see that the highest proportion of people who voted for the ballot measure is from District 2 (0.2),

While the highest proportion of people who voted against the ballot measure is from District 3 (0.2133). Therefore, the association that the two-way table suggests is:

The correct option is C.

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Answer:

Mikiala,  just remember  π is just a number. sooo

Step-by-step explanation:

we need a formula for area of a cone which is  (1/3) * π * r² * h

A = area , then

A=  (1/3) * π * r² * h

now just solve with the known info

A = 1/3 * π* [tex]6^{2}[/tex] *16

A= 192π

Answer:

603.2

Step-by-step explanation:

Formula for volume of cone: [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]x^{2}[/tex]h

Answer:

5671.30

Step-by-step explanation:

periods = 5 years quarterly = 20 periods

 interest per period  .0335/4     (4 periods per year)

   initially 4800

FV = future Value = 4800 ( 1 + .0335/4)^20 = 5671.30

Answer:

the answer is 24 since 24 x 5 = 120

Step-by-step explanation:

Hope this helps you!

Answer:

[tex]-\dfrac25c^2d^2+2c^3[/tex]

Step-by-step explanation:

[tex]-\dfrac13c^2(1.2d^2-6c)[/tex]

[tex]\implies -\dfrac13c^2 \cdot 1.2d^2+\dfrac13c^2 \cdot 6c[/tex]

[tex]\implies -\dfrac{1.2}{3}c^2d^2+\dfrac63c^2c[/tex]

[tex]\implies -\dfrac25c^2d^2+2c^3[/tex]

Answer:

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

Step-by-step explanation:

Circle is touching y-axis at point (0, 3) and is centered at (2, 3)

-> h = 2, k = 3 & r = 2 units (If a circle touches y -axis then x coordinate of the center will be it's radius)

Equation of circle in standard form is given as:

[tex](x-h)^2 +(y-k)^2 =r^2[/tex]

Plugging the values of h, k and r in the above equation, we find:

[tex](x-2)^2 +(y-3)^2 =2^2[/tex]

[tex]\implies x^2-4x +4+y^2-6y+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+4+9=4[/tex]

[tex]\implies x^2+y^2-4x -6y+9=0[/tex]

This is the required equation of the circle.

Answer:

3.26

Step-by-step explanation:

33.5/3.14 = 10.66 ( when rounded to the nearest tenth).

10.66 square rooted is 3.26

The required radius of the sphere is 2 inch.

Volume of sphere = 33.5 cubic inches . Radius of sphere to be determine.

Volume, is defined as mass gained per unit cube of density.

Here, area of sphere = [tex]4/3\pi r^3[/tex]

                         33.5 = 4/3 πr³
                              r³ = 33.5 * 3/4π
                              r  = 2

Thus, the required radius of the sphere is 2 inch.

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Answer:

20 and greater than 20

__________________________________________________________

Ask me in the comments box.

Answer:

Step-by-step explanation:

Remark

Choose any number at all and see what happens.

Suppose x = 8

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

3(9) = 27

3*8 + 3 = 24 + 3 = 27

What you have shown is that the second choice is incorrect. There is at least one value that makes the equation correct (that is, both sides come to the same result.)

If choice two is false then choice one must be true since these results may give the only 2 possible results.

Answer:

the system of equations 25-x=-4y and 3x-2y=30

Step-by-step explanation:

the system of equations 25-x=-4y and 3x-2y=30

Answer:

(7, -9/2)

x=7

y=-9/2

Step-by-step explanation:

1. x=25+4y

2. 3x-2y=30

substitute 1 in 2

3. 75+12y-2y=30

simplify

10y=-45

y=-9/2

substitute y in to the second equation 3x-2y=30

3x+9=30

3x=21

x=7