Find the 8th Term for the Geometric Sequence for which a1 - 3 and r = -2

Answers

Answer 1

Answer:

-384

Step-by-step explanation:

geometric sequence : every new element is generated by multiplying the previous element always with the same number r.

a(n) = a(n-1) * r

a(n) = a(1) * r^(n-1)

so, a(1) = 3, r = -2

a(8) = ?

a(8) = a(1) * r^7 = 3 * (-2)^7

a negative number to an uneven power is again a negative number.

so, (-2)^7 = -128

3 * -128 = -384 = a(8)


Related Questions

Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.

d+a=h

Answers

Answer:

do you have an attatchment or guide i can use to answer this?

Step-by-step explanation:

Transposing a,

[tex]d + a = h \\ a = h - d[/tex]

What evidence shows that the uprisings at Treblinka and Sobibor were not a complete failure?

Both camps were closed after the uprising.
Prisoners attacked and killed SS men and guards.
Thousands of prisoners escaped and were never captured.
All gas chambers in camps were shut down.

Answers

Answer:

both camlps

Step-by-step explanation:

Answer:

B.) Prisoners attacked and killed SS men and guards.

Step-by-step explanation:

edge

A rectangular prism has a volume of 154 in3 . Which set of dimensions below could be the dimensions of the prism?

Answers

Answer:

2 by 7 by 11

Step-by-step explanation:

A rectangular prism has a volume of 154 in3

. Which set of dimensions below could be the dimensions of the prism?

6 by 8 by 3

5 by 6 by 7

2 by 7 by 11

Volume of a rectangular prism = base area x height

Base area = length x width

6 x 8 x 3 = 144 this is not equal to 154. This is not the correct dimension

5 x 6 x 7 = 210 this is not equal to 154. This is not the correct dimension

2 x 7 x 11 = 154 this is the correct dimension

What units would you use to describe the volume of a box measured in
centimeters?
A. Cubed centimeters
B. Inches
C. Square feet
D. Cubed Inches

Answers

Answer:

A

Step-by-step explanation:

Answer : cube centimeters

A fast food restaurant offers a bonus to each meal purchased. The bonus could be a free ice cream, pop, or fries. The owner wants the fries to be given twice as often as either ice cream or pop. Design a spinner that will simulate the likelihood of getting each type of bonus

Answers

Answer:123456789/j

Step-by-step explanation:

hello jannat l

Subtract (6x² + 8x - 5) from (7x? + 8x - 4)

Answers

Answer:

−6x^2+7x+1

Step-by-step explanation:

1)(7x+8x-4)=15x−4

2)15x-4-(6x^2+8x-5)=−6x2+7x+1

(x-7) (-9) + (x-7) ( 4x+5)

Answers

Answer:

4x^2−32x+28

Step-by-step explanation:

The correct answer will be [tex]4x^{2} - 32x + 28[/tex]

Let's simplify step-by-step.

(x−7)(−9)+(x−7)(4x+5)

Distribute:

= (x)(−9)+(−7)(−9)+(x)(4x)+(x)(5)+(−7)(4x)+(−7)(5)

= −9x+63+4x2+5x+−28x+−35

Combine Like Terms:

= −9x+63+4x2+5x+−28x+−35

= (4x2)+(−9x+5x+−28x)+(63+−35)

= 4x2+−32x+28

There is a photo please help quick.

Answers

Answer:

B

Step-by-step explanation:

1/4 + 2/3

(3+8)/12

11/12

Simplify the expression.
4(20 + 12) – (4 - 3)

Answers

Answer:

127

Step-by-step explanation:

see image below:)

Answer:

127

Step-by-step explanation:

4(20 + 12) – (4 - 3)

80+ 48 - 1

127

I hope this helped!

Which number is less than 0.4???
A. 0.57
B.0.09
C. 0.7
D.0.90
E.0.5

Answers

As an inequality, the number that is less than 0.4 is 0.09

How to determine the number?

The number is given as:

0.4

Let the number be represented as x.

So, we have:

x < 0.4

From the list of given options, the possible value of x is 0.09.

This means that 0.09 is less than 0.4

i.e 0.09 < 0.4

Hence, the number that is less than 0.4 is 0.09

Read more about inequality at:

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For all values of x, f(x)=x-1 and g(x)=2x^2+3. Solve fg(x)=gf(x)

Answers

Answer:

x=3/4

Step-by-step explanation:

Given:

f(x) = x-1

g(x) = 2x²+3

Evaluate composite functions:

f(g(x)) = f(2x²+3) = (2x²+3)-1 = 2x²+2

g(f(x)) = g(x-1) = 2(x-1)²+3 = 2(x²-2x+1)+3 = 2x²-4x+2+3 = 2x²-4x+5

Set expressions equal to each other and solve for x:

2x²+2 = 2x²-4x+5

2 = -4x+5

-3 = -4x

3/4 = x

x = 3/4

Therefore, the value of x=3/4 satisfies both composite functions

Find the missing angle
A) 61.1
49.40
B) 56.10
D) 59.7

Answers

Answer:

D

Step-by-step explanation:

You have the opposite side given and the adjacent side. That means you will use the tangent.

Tan(theta) = opposite / adjacent

opposite = 6

adjacent = 3.5

Tan(theta) = 6 / 3.5

Tan(theta) = 1.714

Tan-1(1.714) = 59.74

when you get an answer over 1 from the division, you know that the angle is over 45 degrees.

What is the combined area of the two bases of the following cylinder
The diameter is 12cm and the height is 15cm
A. 452.16cm^2
B. 904.32cm^2
C. 113.04cm^2
D. 226.08cm^2

Answers

D. 226.08cm^2

Since we are finding the combined area of the two bases of the cylinder, we are adding the area of the first base with the second base. The formula for the base of a cylinder is pi x r^2, since it is a circle. Since the bases are the same, we can rewrite this as 2pi x r^2.

Since the diameter is 12cm and r = 1/2 diameter, r = 6cm.

Thus, A = 2(3.1415)(6)^2 = 226.08cm^2

Evaluate the expression for the given value of x. 8x + 7 for x = 4

Answers

Answer:

39

Step-by-step explanation:

First, we change 8x +7 to 8(4) + 7

Then, 8 x 4 = 32

Lastly, 32 + 7 = 39

•8x + 7
•8(4) + 7
•32 + 7
•39

Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?

Answers

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:

[tex]x + y + 90 = 180[/tex]

Subtract 90 from bot sides

[tex]x + y = 90[/tex]

Make x the subject

[tex]x = 90 - y[/tex]

Make y the subject

[tex]y = 90 - x[/tex]

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume [tex]x = 40[/tex]

We make use of: [tex]y = 90 - x[/tex]

[tex]y = 90 - 40 = 50[/tex]

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal

[tex]x + 2y = 180[/tex]

Make x the subject

[tex]x = 180 - 2y[/tex]

Make y the subject

[tex]y = \frac{180 - x}{2}[/tex]

Assume [tex]x = 40[/tex], we make use of:

[tex]y = \frac{180 - x}{2}[/tex]

[tex]y = \frac{180 - 40}{2}[/tex]

[tex]y = \frac{140}{2}[/tex]

[tex]y = 70[/tex]

Assume [tex]y = 70[/tex], we make use of:

[tex]x = 180 - 2y[/tex]

[tex]x = 180 - 2 * 70[/tex]

[tex]x = 180 - 140[/tex]

[tex]x = 40[/tex]

Which 3 of the following numbers are irrational?
PLEASE ONLY ANSWER IF YOU KNOW THE ANSWER.

[tex]13 + \sqrt{25} [/tex]
[tex]17\pi[/tex]
[tex].21475467...[/tex]
[tex] \sqrt{ \frac{9 }{16} } [/tex]
[tex] - \frac{4}{5} + \sqrt{ \frac{6}{9} } [/tex]


Answers

Answer:

The irrational numbers from the given options are :-

[tex]17\pi[/tex][tex]0.21475467.....[/tex][tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex]

Step-by-step explanation:

Analyse each option carefully.

1) [tex]13 + \sqrt{25}[/tex] is a rational number because :-

[tex]\sqrt{25} = 5[/tex][tex]13 + \sqrt{25} = 13 + 5 = 18[/tex] , which is a rational number.

2) [tex]17\pi[/tex] is irrational because :-

Value of π has a non-terminating & non-recurring decimal value. So it is irrational number.If π is irrational , then 17π is also irrational because product of any number and an irrational number is always irrational.

3) [tex]0.21475467....[/tex] is irrational because :-

It is a non-terminating & non-recurring decimal.Any non terminating & non-recurring decimal is an irrational number.

4) [tex]\sqrt{\frac{9}{16} }[/tex] is rational because :-

[tex]\sqrt{\frac{9}{16} } = \frac{\sqrt{9} }{\sqrt{16} } = \frac{3}{4}[/tex].[tex]\frac{3}{4}[/tex] is a rational number.

5) [tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex] is irrational because :-

[tex]\sqrt{\frac{6}{9} } = \frac{\sqrt{6} }{\sqrt{9} } = \frac{\sqrt{6} }{3}[/tex] , which is irrational.If [tex]\frac{\sqrt{6} }{3}[/tex] is irrational , then [tex]-\frac{4}{5} + \sqrt{\frac{6}{9} }[/tex] is also irrational because sum of any number and an irrational number is always an irrational number.

Five boys each have 8 marbles. If all
their marbles are collected and placed

into
8heaps, how many marbles will there be in each jeap ?​

Answers

5 marbles.

We first need to find how many marbles we have in total.

8 marbles * 5 boys = 40 marbles.

These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.

40/8 = 5

There will be 5 marbles in each heap.

What is the volume of the following sphere? Use 3.14 for x.
18 mm
3,052.08 mm 3
24.416.64 mm 3
113.04 mm
3
226.08 mm 3

Answers

Answer: 3,052.08

Step-by-step explanation: 4/3 * pi * 18/2

Describe two ways to write 7/3 as a mixed number

Answers

Answer:

2 1/3 and 1 1/6

Step-by-step explanation:

PLZ HELP ME I BEG UU!! NEED ASAP

Answers

Answer:

perimeter of triangle=20+20+24=64mm

height of triangle =16mm

length of rectangle=23mm

breadth of rectangle=24mm

we have

Total surface area=perimeter of triangle *length + 2*area of rectangle

=64*23+2*23*24=2576mm²

Surface area=2576mm²

Answer:

1856

Step-by-step explanation

A = bh + 2ls + lb

Using the formula we get 1856

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

show that 2.373737... =2.37 canbe expressed in the form p/q where pand q are integers and q≠0​

Answers

Answer:

[tex] 2.373737....=\frac{235}{99}[/tex]

Step-by-step explanation:

[tex] 2.373737....=2.\overline{37}[/tex]

[tex] Let\: x=2.\overline{37}...(1)[/tex]

[tex] \therefore 100x=237.\overline{37}...(2)[/tex]

Subtracting equation (1) from equation (2), we find:

[tex] \therefore 100x-x=237.\overline{37}-2.\overline{37}[/tex]

[tex] \therefore 99x=237+0.\overline{37}-2-0.\overline{37}[/tex]

[tex] \therefore 99x=235[/tex]

[tex] \therefore x=\frac{235}{99}[/tex]

[tex] \implies 2.373737....=\frac{235}{99}[/tex]

the distance between sandville and lewiston is shown on the map what is actual distance between the town?

Answers

Answer:

260 miles

Step-by-step explanation:

set up a proportion:

6.5/d = 1/40

cross-multiply:

d = 40(6.5) which equals 260 miles

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

B

Step-by-step explanation:

According to Order of Operations, you always do exponents first

The answer to your question is b

A new motorcycle has a value of $8,000. Every year its value decreases by $500. Which function can be used to find y, the value of the motorcycle in x years?
A. y = 500x + 8,000
B. y = -500x - 8,000
C. y = -500x + 8,000
D. y = 500x - 8,000
PLEASE HELP ME :)

Answers

Answer:

d

Step-by-step explanation:

function is a relationship between inputs where each input is related to exactly one output.

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Option C is the correct answer.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A new motorcycle has a value of $8,000.

Every year its value decreases by $500.

Now,

y = amount of the motorcycle

x = number of years

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Thus,

The function for the value of the motorcycle after x years.

y = 8000 - 500x

y = -500x + 8000

Option C is the correct answer.

Learn more about functions here:

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Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group.



Which statement is true about the distributions of completion times?

The students in Group A tended to complete the quiz in less time.
The median of Group A is greater than the median of Group B.
The means of both groups are about the same.
The standard deviation of Group B is less than the standard deviation of Group A.

Answers

Answer:

The median of Group A is greater than the median of Group B.

Step-by-step explanation:

Given

[tex]\begin{array}{cccccccccc}{Group\ A} & 4.5 & 4.8 & 4.6 & 5.0 & 4.8 & 4.4 & 4.7 & 5.2 & 3.9 \ \\ {Group\ B} & 5.5 & 4.9 & 4.0 & 4.2 & 4.8 & 4.1 & 3.5 & 4.6 & 4.3 \ \end{array}[/tex]

Required

Which of the options is true

(a) Group A complete in less time

To do this, we calculate the average of both using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

Where

[tex]n = 9[/tex]

So, we have:

[tex]\bar x_A = \frac{4.5 + 4.8 + 4.6 + 5.0 + 4.8 + 4.4 + 4.7 + 5.2 + 3.9}{9}[/tex]

[tex]\bar x_A = \frac{41.9}{9}[/tex]

[tex]\bar x_A = 4.66[/tex]

[tex]\bar x_B =\frac{5.5 + 4.9 + 4.0 + 4.2 + 4.8 + 4.1 + 3.5 + 4.6 + 4.3}{9}[/tex]

[tex]\bar x_B =\frac{39.9}{9}[/tex]

[tex]\bar x_B =4.43[/tex]

The average time of Group A is higher than that of B, this means that Group A spend more time, on average.

(b) Group A has a greater median

First, we sort the given data in ascending order

[tex]\begin{array}{cccccccccc}{Group\ A} & 3.9 & 4.4 & 4.5 & 4.6 & 4.7 & 4.8 & 4.8 & 5.0 & 5.2 \ \\ {Group\ B} & 3.5 & 4.0 & 4.1 & 4.2 & 4.3 & 4.6 & 4.8 & 4.9 & 5.5 \ \end{array}[/tex]

The median is then calculated using:

[tex]Median = \frac{n + 1}{2}th[/tex]

This gives:

[tex]Median = \frac{9 + 1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The median is the fifth item for both groups.

So, we have:

[tex]A =4.7[/tex]

[tex]B =4.3[/tex]

4.7 is greater than 4.3

Hence, (b) is true

Since (b) is true and only one option is correct, then (c) and (d) are incorrect

Answer:

b

Step-by-step explanation:

A person walks 14 mile in 18 hour.

The person's speed is
miles per hour.

Answers

Answer:

[tex]\frac{7}{9}[/tex] of a mile per hour

0.77777778 of a mile per hour

Step-by-step explanation:

[tex]\frac{y}{14} :\frac{1}{18}[/tex]

y · 18 = 1 · 14

18y = 14

18y ÷ 18 = 14 ÷ 18

[tex]y=\frac{7}{9}[/tex]

Answer: 1.28571428571

Step-by-step explanation: You divide the hours by miles

helppp
Answer options
A: (2,0)
B:(8,0)
C:(-3,5)
D:(5,-3)

Answers

the anwser is D............

A 2-liter bottle of soda pop contains 2,000 milliliters.
True
False

Answers

Answer:

TRUE!

Step-by-step explanation:

1 liter (L) = 1000 milliliters (mL)

If you have 2 Liters, then you would DOUBLE the milliliters (2000)

Marking brainliesttttt pls answer all means a lot !!

12- Dana raised the high score on a video game from 300 points to 390 points. By what percentage did Dana raise the score ?
F-20%
G.23%
H.30%
J.90%





Answers

Answer:

G

Step-by-step explanation:

it is the correct answer

Answer:

Look at the image and

H. 30%

Step-by-step explanation:

[tex]\frac{100}{y}: \frac{300}{390}[/tex]

y · 300 = 100 · 390

300y = 39000

300y ÷ 300 = 39000 ÷ 300

y = 130

130% - 100% = 30%

What is an example of Data and statistics

Answers

An example of data and statistics could be charts or graphs
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