What is the next term of the geometric sequence 5, 20,80

Answers

Answer 1

Answer:

a₄ = 320

Step-by-step explanation:

To obtain a term in a geometric sequence , multiply the previous term by the common ratio r

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{5}[/tex] = 4 , then

a₄ = 4 × a₃ = 4 × 80 = 320


Related Questions

An air traffic controller is monitoring the altitudes of four planes. The four equations below show y, the
distance in feet of each plane above the ground, after 6 minutes of descent. (Hint: Look at the slopes to help
you.)
Plane A: y = 400t + 12,000
Plane B: y = -800t + 28,000
Plane C: y = -200t +13,500
Plane D: y = -500t + 30,000
a. Which plane is descending at the slowest rate?
b. Which plane began its descent from the highest altitude?

Answers

Answer:

Step-by-step explanation:

a. Plane C has the slowest rate of descending.

b. Place D has begun to descend from the highest altitude.

What is the equation of a line in slope intercept form?

The equation of a line in slope intercept form is y = mx + b where the slope is m and the y-intercept is b.

The altitude of four planes is represented by y after 6 minutes and t represents time in minutes.

To determine which plane is descending at the slowest rate we have to look for a slope in these four equations which is the least steep or which modulus value is the least.

If we take the modulus of all four slopes 200 is the least value.

∴ Plane C has the least descending rate.

To determine which plane starts descending from the highest altitude we look for the value of y-intercept which is the largest among them and that is plane D.

learn more about slope here :

https://brainly.com/question/3605446

#SPJ2

the scale of a model skyscraper is 5cm:150 meters. what distance is represented by 1cm?​

Answers

Answer:

30 meters

Step-by-step explanation:

150/5

Which quadratic function has an axis of symmetry of x = 3?

Answers

Answer:

the answer is: y= -x²+6x+2

Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​).

Answers

Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

Find the value of x.

Answers

Step-by-step explanation:

By angle sum property

2x+10+4x-36+4x-34=180

10x -60=180

10x= 240

x=24°

At a farm the ratio of cows to horses was 9: 2 if there were 72 cows at the farm how many horses were there

Answers

Answer:

16 Horses!

Step-by-step explanation:

Since

9 : 2 = 72 : X

Then we know

2/9 = X/72

Multiplying both sides by 72 cancels on the right

72 × (2/9) = (X/72) × 72

72 × (2/9) = X

Then solving for X

X = 72 × (2/9)

X = 16

Therefore

9 : 2 = 72 : 16

You can buy 5 cans for green beans at the Village Market for $2.70. You can buy 10
of the same cans of beans at Sam's Club for $6.50. Which place is the better buy?

Answers

Answer:

Village Market

Step-by-step explanation:

for this question we need to find the unit rate (the rate for one of something).

in this case, we need to find the cost of one can at each store so we can

easily compare the cost to see which one is cheaper

it would be (total cost)/(total number of cans)

Village Market = $2.7/5 = .54 cents per can

Sam's Club = $6.5/10 = .65 cents per can

Since Village Market has a cheaper price per can, it is the better buy.

Answer:

Village Market

Step-by-step explanation:

10 cans at the Village Market is = to $5.40.

But at Sam's Club 10 cans cost $6.50 witch is $1.10 more money your paying when u can save it.

how many significant figures are in the measurement 4857.168 cm?

Answers

It has 7!
I hope that this answer helped you❤️

calvin works at smokin sally’s barbecue restaurant and keeps track of the numbers of customers who visit the restaurant over a four-day period..

If caliber made an average tip of $1.25 per customer, how much money did Calvin make in tips from Thursday to Sunday?

Answers

Answer:

Step-by-step explanation:

Dbbdhdbjsbsjsbsbns

SOLVE FOR X PLZZZZZZ

Answers

Answer:

x=5

Step-by-step explanation:

Since these angles are vertical angles formed by two parallel lines being intersected by another vertical line, you can set the 18x and 17x+5 equal to each other. Then you solve using algebra. I hope this helps!

Answer:

x=5

Step-by-step explanation:

Because they both equal 90°, you can use the equations, 18x=90 and 17x+5=90 to solve.

First, 18x= 90: (Divide by 18)

x=5

Now, 17x+5=90: (Subtract 5 from both sides)

17x= 85

Then divide by 17:

x= 5

Hope this helps!

Heath measured the wheelbase on his bike. This is the distance from where
the front wheel touches the ground to where the back wheel touches the
ground. He found that the length was 4 feet 5 inches.
1 foot = 12 inches
4A 5 in.
What is the wheelbase of his bike in inches?

Answers

Answer:

ground. He found that the length was 4 feet 5 inches.

1 foot = 12 inches

4A 5 in.

What is the wheelbase of his bike in inches?

Solve this problem using your knowledge. Problem #20.

Answers

Answer:

I did this

Step-by-step explanation:

Is the following a function?
{(1, -2), (-2, 0), (-1, 2), (1,3)}

Answers

it is not a function. A function is a relation in which no two ordered pairs have the same input (or x-values) and different outputs (y-values).

You need to determine whether every first element (or input) correspond with EXACTLY ONE second element (or output).

in this case, the input value of 1 goes with two output values, -2 and 3.  

It only takes one input value to associate with more than one output value to be invalid as a function.

Therefore, the given relation is not a function.

PLZZZZZZZZZ HELPPPPPPPPPPPPP

Answers

72
((7.5+ 16.5) x 6) / 2

Please help asap, correct answer will get brainliest

Answers

Answer:

im not sure if my answer is correct

Please help with this math problem

Draw a figure and then solve

Answers

Answer:

x=180-a/2+a/2

m AEP =90

Volume = 154 cm cubic
height = 16 cm
d = ?
FIND THE DIAMETER OF THE CYLINDER
#SHOW THE WORKING PLZZ

Answers

Cylinder Volume

Level : JHS

V = hπr²

154 cm³ = 16 cm × 3.14 × r²

154 cm³ = 50.28 cm × r²

r² = 154 cm³ : 50.28 cm

r² = 3.0625 cm²

r = 1.75 cm

d = 2r

d = 2 × 1.75 cm

d = 3.5 cm

So, the diameter of the Cylinder is 3.5 cm

#LearnWithEXO

Can someone help me find m

Answers

Answer:

69 degrees

Step-by-step explanation:

m is a point, if your trying to find lkh, is 69

lkm=111, and jkl=180, so 180-111=jkm

jkm=69

angles that are diagonal from each other are the same degree

lkh=69

hope this helps, if not see me in the commnets

HOPE THIS HELPS, BRAINLIEST PLEASE

Answer:

m < LKH = 69°

Step-by-step explanation:

Given that m < LKM = 111° and that:

<LKM and <LKH are adjacent angles as they share the same vertex, point K, and same ray between them, KL:

Then we can assume that m < LKM and m < LKH are supplementary angles whose sum = 180°.

Therefore, we can establish the following equation:

m < LKM + m < LKH = 180°

111° + m <LKH = 180°

Subtract 111° from both sides to solve for m < LKH:

111° - 111° + m <LKH = 180° - 111°

m < LKH = 69°

Therefore, the measure of < LKH is 69°.

Please mark my answers as the Brainliest if you find my explanations helpful :)

how do i get the answer?

Answers

Answer:

37

Step-by-step explanation:

3 to the 3rd power is 3x3x3=27, (-5x-2)=10 because two negatives cancel each other out and make a positive, add 27 and 10 and that equals 37. Hope this helps :)

A airplane flies 3 hours. The distance is 1200 miles. What is the speed?

Answers

Answer:

400 mph

Step-by-step explanation:

1200/3 = 400 miles per hour

The sum of two numbers is 50 and the difference is 4

Answers

Step-by-step explanation:

let the 2 numbers be x and x + 4 as their deference is 4.

their sum = 50

now,

x + x + 4 = 50

2x + 4 = 50

2x = 50 - 4 = 46

x = 46/2 = 23

therefore two numbers are,

x = 23

x + 4 = 23 + 4 = 27

hope this answer helps you dear...take care and may u have a great day ahead!

Step-by-step explanation:

x + y = 50

x - y = 4

x = y + 4

let's use that as substitute in the first equation

y + 4 + y = 50

2y = 46

y = 46/2 = 23

=>

x = y + 4 = 23 + 4 = 27

the 2 numbers are 23 and 27.

there are 100 total seats in a theater. Of these seats, 16 are broken. What percent of the seats are NOT broken?

Answers

84% of the seats in the theater are not broken.

Answer:

84%

Step-by-step explanation:

On a bicycle Jack can travel 20 miles in 4 hours What are the unit ratios in this situation?​

Answers

4:20 dived the 20 by 2 n the 4 by 2
2:10 dived the 2 by 2 and the 10 by 2
1:5

Evaluate (m^4 + 5)−n^3 if m=−2 and n=−4 .

Answers

Answer:

85

Step-by-step explanation:

m = -2 and n = -4, Plug in:

(m^4 + 5) - n^3

( (-2)^4 + 5 ) - (-4)^3

( 16 + 5 ) - (-64)

21 + 64

85


PLEASE HELP MEEE ASAP

Answers

Step-by-step explanation:

first of all, g(x) has only negative functional result values (y) except for 0.

and a square is always positive.

so, the only possible right answers are the ones that include a minus ("-") sign.

the graph shows us that g(x) goes through the points (1, -3) and (-1, -3).

so, which equation turns an x = 1 into an y = -3 ?

therefore, the right answer must be D.

g(x) = -3x²

it works for both points :

-3 = -3×1² = -3 correct

-3 = -3×(-1)² = -3×1 = -3 correct

please help me
3x≤21

x≤__?

Answers

Answer:

divide both sides by 3

givea you

x<= 7

what is the standard form of of a line with a slope of -3/2 that passes through the point (4,-1)

Answers

Answer:

y=[tex]-\frac{3}{2}x-5[/tex]

Step-by-step explanation:

Use the point slope formula

[tex]y-y_1=m(x-x_1)[/tex]

y-1=[tex]-\frac{3}{2}[/tex](x-4)

Multiply -3/2 by (x-4) which equals -3/2x-6

Move the 1 by adding to both sides

The gives us y=[tex]-\frac{3}{2}x-5[/tex]

15w^4 v^5 / 3w^6 v^5

Answers

Answer:

[tex]\frac{{5}}{w^{2}}[/tex]

Step-by-step explanation:

We begin with [tex]\frac{15w^{4}v^{5}}{3w^{6}v^{5}}[/tex].

Firstly, as with simplifying fractions we can simplify the numbers. 15 is divisible by 3, so this becomes [tex]\frac{5w^{4}v^{5}}{w^{6}v^{5}}[/tex].

To simplify indices (aka exponents or powers), we must subtract the power on the denominator from the matching one on the numerator, and then use that number as the power in the numerator. In this case, 4-6 and 5-5, which becomes -2 and 0.

So now we have [tex]\frac{5w^{-2}v^{0}}{1}[/tex].

For a negative power, we switch it into the other half (numerator to denominator) and take away the negative sign, leaving [tex]\frac{5v^{0}}{1w^{2}}[/tex].

We can remove the [tex]v^{0}[/tex] in the numerator as it just multiplies the numerator by one, and remove the 1 in the denominator for the same reason.

This leaves us with [tex]\frac{5}{w^{2}}[/tex].

**This content involves division with indices, which you may wish to revise. Let me know if you have any questions. I'm always happy to help!

What's the gradient of the blue line?

Answers

You mean the slope??

Can anyone explain this to me?

Answers

Answer:

Option C

Step-by-step explanation:

Long division or synthetic division. Look up these two techniniques.

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