PLEASE HELP!!! I don't understand.
If a_n is a sequence that includes the terms:
250, ___, 10
What missing number(s) would the missing term be if:

a) a_n is arithmetic
b) a_n is geometric

Answers

Answer 1

9514 1404 393

Answer:

arithmetic: 130geometric: ±50

Step-by-step explanation:

Arithmetic sequence

The terms of an arithmetic sequence have common difference. If the missing term is x, then the difference between terms is the same:

  x -250 = 10 -x

  2x = 260 . . . . . . add 250+x to both sides

  x = 130 . . . . . . . . divide by 2

The missing term of an arithmetic sequence is 130.

(the common difference is -120)

__

Geometric sequence

The terms of a geometric sequence have a common ratio. If the missing term is x, then the ratios between terms are the same:

  x/250 = 10/x

  x^2 = 2500 . . . . . . . multiply both sides by 250x

  x = ±√2500 = ±50 . . . take the square root

The missing term of a geometric sequence is +50 or -50.

(the common ratio is ±1/5)


Related Questions

An object is launched directly upward at 64 feet per second from a platform 80 feet high. Write the function for the height of this object at any given time (t seconds).

Answers

Answer: 144 feet

Step-by-step explanation:

Rob's office recycled a total of 12 kilograms of paper over 2 weeks. How many weeks will it
take Rob's office to recycle a total of 18 kilograms of paper? Assume the relationship is
directly proportional.
weeks

HOW MANY WEEKS ???

Answers

Answer:

3 unless you're adding onto the 12 kilograms, then only 1

Step-by-step explanation:

HELP I MARK BRAIN thing

Answers

Answer:

It would be A. x < 6

Step-by-step explanation:

The number line shows it is less than six with a closed circle and the arrow pointing towards the left of it

HELP
PLZZZ Z DONT GIVE ME A LINK

Answers

Answer:

These relationships are realted because the variable is multiplied by ten to get the function.

9cm: 90mm

12 1/4cm: 122.5mm

50cm: 500mm

88.49cm: 884.9mm

By the way, can you follow me on Brainly?

Thanks!

Please answer. I’ll mark brainlist

Answers

Answer:

319in

Step-by-step explanation:

cut them by sections

3×14=42 is the top of the shape

then the middle rectangle, add 24 with 5, it's 29

8×29=232

then the last one which is the bottom right rectangle

9×5=45

after add 42+232+45 and that's your answer

The area of the Composite figure is 319 sq units.

What is Composite figure?

A two-dimensional figure made up of basic two-dimensional shapes such as triangles, rectangles, circles, semicircles, etc

Given that a Composite figure with sides measurements

We will calculate the area by diving the figure in three rectangles  

Area of a rectangle = length * width

Therefore, 9*5 + 8*29 + 3*14 = 45 + 232 + 42 = 319 sq units

Hence, The area of the Composite figure is 319 sq units.

For more references on Composite figure, click;

https://brainly.com/question/27234680

#SPJ2

Helpppp I need this for rn thank youuuuu❤️

Answers

Answer:

-1,7

0,-3

1,-7

5,47

Step-by-step explanation:

-x-=+

7
-3
-13
-53

This should be right

please help me!! 8th grade math, Pythagorean Theorem

Answers

Answer:

Step-by-step explanation:

-To find the incline do:6^2+14^2=x^2

Than whatever your 6 and 14 equal, find the square root of it

Sinx = [tex]\frac{3}{8}[/tex]
Find cosx and tanx

Answers

Answer:

Cos(x) = sqrt(55) / 8; tan(x) = 3/sqrt(55)

Step-by-step explanation:

Sine is opposite over hypotenuse. So we get that the opposite is 3 and the hypotenuse is 8. To find the adjacent (which we'll need for cosine and tangent), we can use pythagoras' theorem. Therefore, 8^2 = 3^2 + A^2, where A is the adjacent. A then must equal sqrt(64-9) = sqrt(55).

Cosine is adjacent over hypotenuse, which is then sqrt(55) / 8. Tangent is opposite over adjacent, which is then 3 / sqrt(55) or (sqrt55)*3/55

SOMEBODY HELP ME PLEASE

Answers

Answer:

90

Step-by-step explanation:

9*6=54

54*5= 270

270/3=90

What is the probability that someone in your class wants the New England Patriots to win

Answers

Answer:

Step-by-step explanation:

It all depends on how many people are in your class.

To calculate probability

Determine a single event with a single outcome.

Identify the total number of outcomes that can occur.

Divide the number of events by the number of possible outcomes.

To determine the probability, Use the formula

What is the formula of probability?

P(A) is the probability of an event “A” n(A) is the number of favourable outcomes. n(S) is the total number of events in the sample space.

P(A | B) = P(A∩B) / P(B)

Rob is saving to buy a new MP3 player. For every $16 he earns babysitting, he saves $9. On Saturday, Rob earned $32 babysitting. How much money did he save?



If he earned $32, he saved $____

Answers

Answer:

18 dollars

Step-by-step explanation:

32÷16=2

9×2=18

A pioneer family travels for 30 hours at maximum speed in a covered wagon. Their neighbor walks 20 hours at a pace of 3 miles per hour. Which group traveled the greater distance?

Answers

If the covered wagon travels faster than a walking pace if 3mph the wagon will travel further.

What is the value of 4^3

Answers

Answer:

the answer is 64

Step-by-step explanation:

becasue 4 time 4 is 16 and 16 times 4 is 64. You have to multiply 4 against itself 3 times.

Answer:

64

Step-by-step explanation:

4³ = 4 · 4 · 4 = 64

Using the formula below, calculate the z-score for the listed data points. z-score: zx = x − μ σ z1 = z5 = z6.5 =

Answers

Answer:

z1 = -1.95

z5 = 0.05

z6.5 = 0.8

Step-by-step explanation:

The value of the z score for a mean of 4 and standard deviation is 1.

What is Z score?

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ)/σ

Where x is the raw score, μ is the mean and σ is the standard deviation.

Let us assume that μ = 4, σ = 2, hence for x = 6:

z = (6 - 4) / 2 = 1

The value of the z score for a mean of 4 and standard deviation is 1.

Find out more on Z score at: https://brainly.com/question/25638875

Can someone help me with these questions?

Answers

1) 11 books per box with one in the envelope.
2) 44 books are on one shelf. There is 1 book left over.
3) day 9
4) 8 books.

Please help me out with this I don’t understand it

Answers

Answer:

x = 7.55

Step-by-step explanation:

a = x

b = 8

c = 11

a² + b² = c²

x² + 8² = 11²

x² + 64 = 121

x² = 121 - 64

x² = 57

[tex]\sqrt{x^2} =\sqrt{57}[/tex]

x = 7.5498

Rounded to hundredths:

7.55

solve the system by substitution 3x-y=10 2x=y

Answers

Answer

X=10 and y=20

Step-by-step explanation:

since y=2x, you need to substitute that into the equation to get:

3x-(2x)=10

And evaluate:

x=10

Then substitute 10 into the equation: 2x=y:

2(10)=y

evaluate:

20=y

Now go back to the original equation to check your answer and substitute the values in:

3(10)-(20)=10

30-20=10

10=10

X=10, Y=20
steps
1) substitute 2x into the equation for Y
2) combine like terms ( 3x and -2x which equals 1x or x)
3) solve for x’s value (10)
4) plug in x’s value to solve for y
5) plug values into original equation to check work

Can someone please help me answer this question asap thank you . No links please and thank you .

Answers

It’s a 10 to 1 relationship

the area is approximately ___ square ft.

use 3.14 for pi​

Answers

Answer:

200.96

Step-by-step explanation:

divide the diameter by 2, to get 8. then multiply 8 by 8 to get 64. 64×3.14 is 200.96

Can someone please help me with question 5?
I need REAL Help

Answers

Answer:

Step-by-step explanation:

the slope is uphill.. so we know it's positive

I can also see that that it's 1 up and 1 over so the slope is 1

the line also hits at -9   on the y axis

so

y = x - 9

y= -9 since that is the point where the line crosses the y axis

Your new car cost $32,000 but it depreciates in value by about 25% each year. Write an equation that would indicate the value of the car at x years.

A. y = 32000(.25)×
B. y = 32000(1.25)×
C. y = 32000(.75)×​

Answers

Answer:

C, after 1 year, it has 75 percent of its original value

Step-by-step explanation:

A dog walking company charges $90 to walk 6 dogs. They charge the same amount of money to walk each dog. Which table represents the relationship between the number of dogs the company walks and the amount of money they charge?

Answers

Answer:

15

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

i did k12

A farmer plants the same amount every day, adding up to 212 acres at the end of the year. If the year is 23 over, how many acres has the farmer planted?

Answers

Answer:

4876 acres

Step-by-step explanation:

212 x 23 = 4876

Based on the data given in the table,
which is a reasonable estimate of
the download time of a 600-kilobyte
A 10 seconds
B 12 seconds
C 15 seconds
D 17 seconds

Answers

Answer:

C. 15 seconds

Step-by-step explanation:

It wouldn't be A, because 10 seconds can download 348 kilobytes, it wouldn't be B too as it would be at about 400+ kilobytes, the only possible answer is 15 seconds as the last option takes 17 seconds for 715 kilobytes.

1. Whats the exact value of Y?
2. Whats the exact value of X?

Answers

Answer:

Hello! The answer is in this link.

Step-by-step explanation:

8518-06-04-10-15-instructional.mp4. I hope this helps! Have a great rest of your day!

Solve: 16х2 - 81 = 0. (2 points)
Ox = 4, 9
Ox= -4, -9
ООО
9
х=
О
х
81
16
16

HELP PLEASEEE

Answers

C I think I’m sorry if it’s wrong

Answer:

x=9/4,x=-9/4

Step-by-step explanation:

16x^2−81=0

Step 1: Add 81 to both sides.

16x^2−81+81=0+81

16x^2=81

Step 2: Divide both sides by 16.

16x^2/16 = 81/16

x^2 = 81/16

Step 3: Take square root.

x = ±√81/16

x=2.25,x=−2.25

Convert to fraction form.

x=9/4,x=-9/4

Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.

Answers

Answer:

Part A

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the given values we get;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the values gives;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore, we get;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

Answer: radius = 12, perimeter = 72

Step-by-step explanation:

We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.

so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6

long leg = 6√3

long leg = short leg √3

short leg = 6

hypotenuse (radius) = 2(short leg)

hypotenuse (radius) = 2(6)

hypotenuse (radius) = 12

The radius of hexagon ABCDEF = 12 inches

Perimeter = r (sides)

Perimeter = r (6)

Perimeter = 12 (6)

Perimeter = 72

The perimeter of hexagon ABCDEF = 72 inches

Proving That All Circles Are Similar give: cicrcle x with radius r and circile y with radius s prove: circle x is similar to circle y

Answers

Answer:

Two shapes are similar when they have the same shape while their sizes may be the same or different

Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor

All circles have the same shape and are defined by their center and radius

Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;

r × a = s

Where a = s/r, we get;

r × s/r = s

We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a

Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'

Step-by-step explanation:

Just did it! <3

Hope this helps!

3-108. Write an equation and find the answer for each of the following problems. Give answers in decimal form. Homework Help a. What is the product of three tenths and four hundredths?​

Answers

product means multiply, so 3/10 * 4/100 = 12/1000, simplified is 6/500

Cups by the water cooler are in the shape of a cone. The height is 15 cm and the diameter is 7.6 cm.

What is the volume of one water cooler cup, in cubic centimeters? (Use 3.14 for
π.)

Answers

Answer:

226.7 cm³

Step-by-step explanation:

The cone volume formula is V = (1/3)(base area)(height).

Here that comes out to V = (1/3)(pi)(3.8 cm)^2·15 cm, or 226.7 cm³

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