Select the correct answer.
Consider the first four terms of the sequence below.

-3, -12, -48, -192, . . .

What is the 8th term of this sequence?

A.
-196,608
B.
-49,152
C.
-12,288
D.
-768

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

Consider the first four terms of the sequence are,

⇒ -3, -12, -48, -192, . . .

Here, Common ratio is,

⇒ - 12 / - 3

⇒ 4

Thus, The sequence are in Geometric sequence.

Hence, The value of 8th term of this sequence is,

⇒ a (8) = - 3 × (4)⁸⁻¹

⇒ a (8) = - 3 × 4⁷

⇒ a (8) = - 3 × 16,384

⇒ a (8) = - 49,152

Thus, The value of 8th term of this sequence is,

⇒ a (8) = - 49,152

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Related Questions

In a kindergarden class of 19 students, 100 addition problems can be completed in a mean time of 6 minutes. The
standard deviation is 1 minute.

How many students will finish before 5 minutes?

Answers

Answer:

3 students

Step-by-step explanation:

Two ways you can do this:

1. If you have a graphic calculator you can find the normal distribution function and enter the following values to get the probability of a student finished in less than 5 minutes:

Lower: 0

Upper: 5

Standard Deviation: 1

Mean: 6

This gives a probability of: 0.1587 (4.d.p)

2. You can use the formula and find the probability using the Z-table.

[tex]Z = \frac{x - \mu}{\sigma}[/tex]

Substitute known values:

[tex]Z = \frac{5 - 6}{1}\\Z = -1/1 = -1\\[/tex]

It is one standard deviation to the left of the mean,.

Look up on Z-score table and we get: 0.1587 (4.d.p)

Now we need to find expected number. We do this by multiplying the probability by the amount of people:

0.1587 x x19 = 3.0153 rounded to 3 students.

Hope this helped!

Answer:

3

Step-by-step explanation:

PLEASE HELP FAST



Part A: Find the value of c that will result in a perfect square trinomial.
x2 + 18x + c = 25 + c

Answers

Answer:

c=81

Step-by-step explanation:

Take half of b: 18/2=9

Square the result: 9²=81

This is your value of c that will result in a perfect square trinomial, which is c=81. If you were to keep going, you would do the following:

x²+18x+81=25+81

x²+18x+81=106

(x+9)^2=106 <-- Final simplification

(x+9

Answer:

c=81

Step-by-step explanation:

pls give me banliest

Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M. Explain how you know that the tour was more than 30 minutes.

Answers

Answer: See explanation

Step-by-step explanation:

Since Tim's family toured the Astronaut Hall of Fame from 2:05P.M. To 2:45 P.M, the time taken during the tour will be:

= 2.45 pm - 2.05pm

= 40 minutes.

Since Tim's family toured the Astronaut Hall of Fame for 40 minutes, this shows that they spent more than 30 minutes during the tour.

Please also include an explanation, I'd appreciate it :-)

Answers

Answer:

[tex]30ft[/tex]

Step-by-step explanation:

So, since the scale is 1:5, 1 ft is actually 5 feet.

[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]

Brainliest and 15 points if you get this problem right! NO LINKS= No BRAINLIEST

Answers

Answer:

1. Movie B

2. Movie C

3. 40 years old

Step-by-step explanation:

Answer:

Part 1 = Movie B.

Step-by-step explanation:

Part 2. Movie C

Part 3. 40


Help with right Awnser

Answers

Answer:

Solution given:

base[b]=8m

perpendicular [p]=3m

we have

area of triangle=[tex] \frac{p \times b}{2} [/tex]

=[tex] \frac{3 \times 8}{2} [/tex]=12m²

is your answer

Answer:

12m2

Step-by-step explanation:

Guys pls help me!!!!

Answers

Answer: D

Step-by-step explanation:

There is no points I plotted them on a graph and they don't intercept on the graph

1/Secx-tanx -1/secs+tanx
Need help really bad
It’s the second one

Answers

Answer:

Explanation down

Step-by-step explanation:

which of the following is (-5x + 4)-(3x^2-7x+4) simplified and written in standard form?​

Answers

Answer:

jhgsdfgtyhujwert

Step-by-step explanation:

if y=27 when x= 8 find y when x =11

Answers

Answer:

37 1/8

Step-by-step explanation:

The problem probably assumes direct variation

y=kx

IF so, then plug in the values and solve for k

27=k(8)

k = 27/8

y= (27/8)x.  Now let x = 11

y = (27/8)11 = 27(11)/8 = 37.125 = 37 1/8

y = 37 1/8

the problem is making some assumption about the relation between x and y.  The simplest assumption that's likely is direct variation,  that x and y are linearly related.  The graph is a straight line through the origin with slope = 27/8

Last week at a gym, 120 people participated in a biking class. The number of people who ran on a treadmill
was 150% of the number of people who participated in a biking class. How many people ran
a treadmill at
the gym last week?
people ran on a treadmill at the gym last week.
Show work ~ Aniya v

Answers

Answer:

180

Step-by-step explanation:

This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.

There are two ways to solve

1. [tex]\frac{150*120}{100}[/tex]

2. [tex]120+\frac{120\\}{2}[/tex]

To do the first one:

1. Multiply the values in the numerator

18000/100

2. Divide

180

To do the second one:

1. Divide the fraction

120 + 60

2. Add

180

Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.

What is the size of the population of dogs that could have run away from Jenny?

1
5
11
13

Answers

Answer:

5

Step-by-step explanation:

17 dogs total all counted up.

17- 5 = 12

5 could have ran away

hope i could help! i tried my best, have a nice day!

If x =7/8 cm, y =1/4 cm, and z = 5/8 cm, what is the volume of the rectangular prism above?

Answers

Answer:

35/256

Step-by-step explanation:

Assuming x,y, and z are the sides of the prism, then you have to multiply all the sides to the the volume.

Do that, and you get 35/256

I hope this helped, and please mark this as brainliest!

you would just have to multiply them together since the formula is v = lwh.

(xyz)

(might be wrong)

Factor.
11x2+35x+6
Enter your answer in the box.

Answers

Answer:

[tex]\displaystyle [x + 3][11x + 2][/tex]

Step-by-step explanation:

[tex]\displaystyle 11x^2 + 35x + 6 \\ [11x^2 + 2x] + [33x + 6] \\ x[11x + 2]\:\:\:\:\:3[11x + 2] \\ \\ \boxed{[x + 3][11x + 2]}[/tex]

I am joyous to assist you at any time.

Answer: i took the test

Step-by-step explanation:

help me please i'll make you brainiest

Answers

Answer:

1: 7 4/5 2: 5 1/2 3: 17 13/15

Step-by-step explanation:

Simplify (4a^m+3)^3*(1/16a^1-m)^2

Answers

The simplified answer is 27m^2

The simplification of the given expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.

To simplify the expression, let's start by expanding each term and then combining like terms:

Expand the first term (4[tex]a^m[/tex] + 3)³

(4[tex]a^m[/tex] + 3)³ = (4[tex]a^m[/tex]  + 3)(4[tex]a^m[/tex] + 3)(4[tex]a^m[/tex]  + 3)

Using the binomial expansion formula for (a + b)³

(a + b)³ = a³ + 3a²b + 3ab² + b³

So, for (4[tex]a^m[/tex]  + 3)³

(4[tex]a^m[/tex]  + 3)³ = 4³ × ([tex]a^m[/tex] )³ + 3 ×4² [tex]a^m[/tex]  ([tex]a^m[/tex] )²× 3 + 3 × 4× ([tex]a^m[/tex] ) × 3² + 3³

= 64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex] + 108[tex]a^m[/tex] + 27

Expand the second term (1/16[tex]a^{(1-m)[/tex])²

(1/16[tex]a^{(1-m)[/tex])² = (1/16[tex]a^{(1-m)[/tex]) (1/16[tex]a^{(1-m)[/tex])

Simplify the square of a fraction by squaring the numerator and denominator separately:

(1/16[tex]a^{(1-m)[/tex])² = (1²)/(16²) × ([tex]a^{(1-m)[/tex])²

= 1/(256) × [tex]a^{(2(1-m))[/tex]

=[tex]a^{(2-2m)[/tex]/256

Now, let's multiply both simplified terms:

(4[tex]a^m[/tex] + 3)³ ×(1/16[tex]a^{(1-m)[/tex])²

= (64[tex]a^{(3m)[/tex] + 144[tex]a^{(2m)[/tex]+ 108[tex]a^m[/tex]+ 27)  ([tex]a^{(2-2m)[/tex]/256)

Now, combine the terms with similar exponents:

= (64[tex]a^{(3m)[/tex]  [tex]a^{(2-2m)[/tex] + 144[tex]a^{(2m)[/tex] [tex]a^{(2-2m)[/tex]+ 108[tex]a^m[/tex]  [tex]a^{(2-2m)[/tex] + 27 × [tex]a^{(2-2m)[/tex])/256

Using the property [tex]a^m \times a^n = a^{(m+n):[/tex]

= (64[tex]a^{(3m + 2 - 2m)[/tex]+ 144[tex]a^{(2m + 2 - 2m)[/tex] + 108[tex]a^{(m + 2 - 2m)[/tex]+ 27[tex]a^{(2-2m)[/tex])/256

Simplify the exponents,

= (64a² + 144a² + 108a² + 27[tex]a^{(2-2m)[/tex])/256

Now, combine the like terms:

= (336a² + 27[tex]a^{(2-2m)[/tex])/256

Therefore,  the simplified expression is equal to (336a² + 27[tex]a^{(2-2m)[/tex])/256.

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explain why conductivity is a good measure of the salinity of water?​

Answers

Answer:

Salinity and conductivity measure the water's ability to conduct electricity, which provides a measure of what is dissolved in water. In the SWMP data, a higher conductivity value indicates that there are more chemicals dissolved in the water.

Step-by-step explanation:

Tell whether the line or segment is the best described as a chord,a diameterdiameter,or a raduis of a circle

Answers

Answer:

37

Step-by-step explanation:

John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?

Answers

Answer:

20oz

Step-by-step explanation:

60%=12oz

this can be simplified into 1%

in order to find 1% divide by 60

60%/60=1%

in order to find out how much 1% is, divide 12oz by the number used to divide the percent

12/60=0.2

so 0.2=1% and we want to know 100% so multiply by 100

0.2x100=20

1%x100=100%

so 20oz=100% of the bottle

Which number on the number line represents the OPPOSITE of -7/2? Select a place on the number line to plot the point.

Answers

Answer:

the answer would be 3 1/2

Step-by-step explanation:

if you simplify -7/2 it would be -3 1/2, and the opposite of -3 1/2 is 3 1/2.  And from 0-3 there are 6 spaces, so every two spaces counts as 1. Therefore the point would go one spot after positive 3.  

How many words does Rachel type per minute

Answers

there is no problemStep-by-step explanation:

how is 0.6 is greater than the value of 0.39

Answers

because 0.6 is 0.60 and 60 is higher than 39

What is the value of in the solution of the
system of equations 3x + 2y = 12 and 5x – 2y = 4?

Answers

Answer:

x = 2

y = 3

Step-by-step explanation:

add the 2 together and the y-values drop out and you are left with:

8x = 16

x = 2

3(2) + 2y = 12

2y = 6

y = 3

Factoring tinomials
3) 3n^2-8n+4
5) 2y^2+11v+5
7) 7a^2+53a+28
Do all please

Answers

3) (3x-2)(x-2)
5) (x+5)(2x+1)
7) (x+7)(7x+4)

Diego wants to sell his bicycle. It cost $150 when he bought it but has depreciated by 15%. How much should he sell it for?

Answers

Answer:

$127.50

Step-by-step explanation:

15/100 = 0.15

0.15 x 150 = 22.5

150 - 22.5 = 127.5

An altitude is also called the __ of the triangle. One endpoint must be a _____ of the triangle. The altitude creates a ______ ______ with the opposite side of the triangle. FILL IN THE BLANKS

Answers

Answer:

do you have answer choices or is this just fill in the blanks ?

There are _ total possible outcomes.

Answers

Answer:

20 possible outcomes

Step-by-step explanation:

slope = - 2/5; y-intercept = 0
HELP!!!!!!!!!!!

Answers

Answer:

To form the equation, it would y = -2/5x

Step-by-step explanation:

Look at the equation below.
77 +9y = 4
What is the value of y?
4 -9
B -8.1
с 9
D 21.5

Answers

The answer is B -8.1

A writer for a magazine recently did a test to determine which mid-range digital camera takes the best pictures. Her method is described below. Which part of the method describes an area of potential bias? She gathered 20 of the best-selling cameras and used the same photographer to take 100 pictures with each camera. She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10-point scale to determine picture quality. Of the cameras tested, two were from companies who are major advertisers in the magazine.

Answers

Answer:

Two were from companies who are major advertisers.

Step-by-step explanation:

Edmentum/ Plato family for the win.

Of the cameras tested, two were from companies that are major advertisers in the magazine.

What is potential bias?

Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.

Such elements might consist of, but are not limited to, the following:

Employment, professional associations, paid to consult, and participation in groups that support relevant causes.

Given that:-

She gathered 20 of the best-selling cameras and used the same photographer to take 100 pictures with each camera.

She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10-point scale to determine picture quality.

Of the cameras tested, two were from companies that are major advertisers in the magazine.

The potential bias is In the cameras tested, two were from companies that are major advertisers in the magazine.

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