What is the value of the fourth term in a geometric sequence for which ay =
10 and r = 0.5?

Answers

Answer 1

Answer:

1.25

Step-by-step explanation:

a = 10 and r = 0.5

The formula for calculating any term in a geometric sequence is a (the first term) times r (the common ratio) raised to the power of n - 1.

In this case n = 4, since we're looking for the fourth term.

so,

Un = ar^n-1

= ar^4-1

= ar^3

U4 = 10 × 0.5^3

= 10 × 0.125

= 1.25


Related Questions

Find the value of x

Answers

Answer:

x = 66

Step-by-step explanation:

Shapes with four sides are always 360 degrees

x + x - 20 + x + 40 + 2x + 10 = 360

combine like terms

5x + 30 = 360

subtract 30 from both sides

5x = 330

divide 5 from both sides

x = 66

Mrs. Childress has 12 packs of pencils and 8 packs
of cap erasers. What is the FEWEST amount of each
she will need to buy in order to have an equal
number packs of both pencils and cap erasers?

Answers

Answer:

4 packs of erasers and 0 packs of pencils

Step-by-step explanation:

To minimize what she needs to buy to end up with the same number of packs of pencils and erasers, she needs to make the number of each to be equal. So the total number of packs should be 12. She all ready has 12 pencil packs and would only need to buy 4 eraser packs

How can the vector in the graph be described? The magnitude is 2 StartRoot 13 EndRoot, and the direction angle is about 34°. The magnitude is 3 StartRoot 13 EndRoot, and the direction angle is about 146°. The magnitude is 2 StartRoot 5 EndRoot, and direction angle is about 34°. The magnitude is 2 StartRoot 5 EndRoot, and the direction angle is about 146°.

Answer: A

Answers

Answer:

A: The magnitude is 2 StartRoot 13 EndRoot, and the direction angle is about 34°.

Step-by-step explanation:

did it on edge and got it right

Answer:AAAAA

Step-by-step explanation:

just took it

The diagram shows the dimensions of a new parking lot at Helen's Health Food store

Answers

What’s the question?

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!

Answers

the answer is 180cm2

Answer:

252 cm²

Step-by-step explanation:

Basically I just split up the figure into three smaller rectangles and then found the lengths and widths of all of them. Then I found the area of all of them by multiplying the sides and then added up all the three areas together.

Plz let me know if you want a more in depth explanation and I can help more in the comments!

25 divided 5 + 7 - [ 4 x 3 ] =

Answers

the answer is 0, hope it helps lol


A:y=-2x
B:y=-2x-3
C:-3x+2
D:y=-3x

Answers

Answer:

The answer is C.

Hope this helps :)

-ilovejiminssi♡

Help me find the surface area of this shape

Answers

Answer:

216

Step-by-step explanation:

What is the value of X.

Answers

Answer:

x=5.25 or x=5 1/4

Step-by-step explanation:

These two angles are the same because they are vertical angles. We can write an equation to express this.

x+16=4x-5

Then solve.

x+16=4x-5

-x      -x

16=4x-5

+5     +5

4x=21

x=5.25 or 5 1/4

Answer: x=7


Explanation: These are vertical angles, so they are congruent

x+16=4x-5

-x -x

16=3x-5



+5 +5


21=3x



21/3 3x/3


x=7




7+16=23
4*7=28-5=23

If the value of a quarter of a kilogram is ₹ 40, how much money will be the value of 100 grams?​

Answers

Answer:

₹16

Step-by-step explanation:

1/4 kg = ₹ 40

1kg = 40×4 = ₹160

1000g = 1kg

100g = 100/1000 kg

= 0.1kg

0.1kg= 0.1×160 = ₹16

First convert 40 grams to kg. A kilogram is 1000 grams, so you divide 40 by 1000 which is .04 kg.

40 grams * 1 kg / 1000 grams = .04 kg

(Note here that 1 kg = 1000 grams meaning that 1 kg / 1000 grams = 1; anything divided by itself is one; therefore, when I multiply by 1 kg / 1000 grams I’m not changing the value, only the units.)

Then you simply multiply the price per kg by the number of kg giving 6.6.

.04 kg * 165 / 1 kg = 6.6

(Oranges are different. You can’t compare apples to oranges.)

Craig purchase a bowl of circumference 43.96 cm.What is the area Bowl ​

Answers

153.782 cm^2
Go to Omni circumference calculator

What is 10 to the power of 18

Answers

Answer:

1e+18

Step-by-step explanation:

100000000000000000000

Describe how a point on a graph is related to a table and an equation that represent the same relationship.

Answers

Answer:

because everything is relative to each other.

Step-by-step explanation: Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Answer:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Brainliest?!?!??!?

I need one more .


Find the lateral surface area of the triangular prism.
A)
420 cm?
B)
480 cm?
c)
540 cm
D)
620 cm

Answers

Answer:

the correct answer is C. 540cm

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

lateral area =Pb*h

= 48(10)

= 480

which is B

if my answer helps please mark as brainliest.

HELP PLEASE!!
100 POINTS!!

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

We are given:

[tex]\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}[/tex]

First, by the quotient property:

[tex]w^{(-x+4)-(-3)}=w^{2x+1}[/tex]

Since they both have the same base, their exponents must be equivalent:

[tex](-x+4)-(-3)=2x+1[/tex]

Solve for x. Simplify:

[tex]-x+7=2x+1[/tex]

Therefore:

[tex]3x=6\Rightarrow x=2[/tex]

Answer:

x=2

Step-by-step explanation:

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You flip 15 fair coins once. What is the probability of getting at least 12 heads?

Answers

Answer:

0.017578 or 1.76%

Step-by-step explanation:

The probability of getting at least 12 heads is 0.01757.

What is Binomial Distribution?

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1-  p), depending on the outcome's boolean value.

Given a coin is tossed 15 times,

to find the probability of getting 12 heads,

P(X ≥ 12)  Probability of at least 12 successes

At least 12 successes include X-values of

X=12, 13, 14, 15

To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,

P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

p(x) = ⁿCₓpˣqⁿ⁻ˣ

n = 15

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ +  ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴

                      +  ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵

P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045  + .0000030

      P(X ≥ 12) = 0.01757

Hence probability is  0.01757.

Learn more about Binomial Distribution;

https://brainly.com/question/14565246

#SPJ6

A submarine was situated 759 feet below sea level. If it ascends 125 feet, what is its new position?

Answers

Answer:

634

Step-by-step explanation:

it started 759 under went up 125 feet

use the equation 759-125=634

Simplify
6sqrt20 + 8sqrt5 - 5sqrt45

Answers

Answer:

20√5 - 10√10

Step-by-step explanation:

6√20 + 8√5 - 5√45

first, 6√20 and 5√45 need to be simplified. 8√5 cannot be simplified any further:

6√20 = 6√4•5 = 6√2•2•5 = 6•2√5 = 12√5

5√45 = 5√8•5 = 5√2•2•2•5 = 5•2√2•5 = 10√10

now:

12√5 + 8√5 - 10√10

then, add the coefficients of 12√5 and 8√5

20√5 - 10√10

the left over numbers cannot be combined because they do not have a common radical, making 20√5 - 10√10 the final answer

Rewrite the function f (x) =3(x-1)^2-2 in the form f(x) = ax²+bx+c.

Answers

Answer:

3x^2-6x+1

Step-by-step explanation:

According to order of operations, you do exponents before multiplying. So, (x-1)^2=x^2-2x+1, then you multiply it by 3. Lastly, you subtract by 2.

A farmer wants a field 36 yards long with an area of 1008 square yards. How wide should the field be?

Answers

Answer:

28

Step-by-step explanation:

area is equal on leng × with, or 36 × w =1008

1008:36 = 28

The perimeter of a rectangle is 50 centimeters. If the width of the rectangle is 9 centimeters
less than the length, find the dimensions of the rectangle.
Yes

Answers

Answer:

Length = 17 cm

Width = 8 cm

Step-by-step explanation:

Let the length be x cm

Therefore, Width = (x - 9) cm

Perimeter of rectangle = 2(l +w)

50 = 2[x + (x - 9)]

50/2 = 2x - 9

25 = 2x - 9

25+ 9 = 2x

2x = 34

x = 34/2

x = 17 cm

x - 9 = 17 - 9 = 8 cm

Therefore,

Length = 17 cm

Width = 8 cm

Thus, the dimensions of the rectangle are 17 cm and 8 cm.

find the l distance between (-13,3.5) and (17,2)

Answers

the answer to the problem is- 30, 1.5

Help plzz best friend if sooooooooooooooooooooooooooooo

Answers

Answer:

10

Step-by-step explanation:

Am i right?

Answer:

c.10

Step-by-step explanation:

8/3.2 = 2.5 so times 2.5 by 4 to get 10

P.S. Good luck on edg

A card is drawn from a standard deck and replaced. After the deck is shuffled, another card is pulled. What is the probability that the first card drawn is a diamond and the second card is a club?

Answers

Answer:

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

The probability of independent events happening at the same time is the multiplication of the probabilities of each events.

First card:

A standard deck has 52 cards, of which 13 are diamonds. So

[tex]P(A) = \frac{13}{52} = \frac{1}{4}[/tex]

Second card:

The first card is replaced, so still 52 cards, of which 13 are clubs. So

[tex]P(B) = \frac{13}{52} = \frac{1}{4}[/tex]

What is the probability that the first card drawn is a diamond and the second card is a club?

Each drawing is independent, so

[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{4}*\frac{1}{4} = \frac{1}{16} = 0.0625[/tex]

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Answer:

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Step-by-step explanation:

Helpppp need it fast plz

Answers

Answer:

B

Step-by-step explanation:

4 is a lot less than the others

yez

plz help plzzzzzzzzzz

Answers

C. 9 acts as a radius then you plug it into the circumference equation and 55
C hope this helped:)))

Which object has a capacity that is best measured in pints water bottle swimming pool soup spoon trash barrell

Answers

Answer:

ñœñtíęn pòrqüé no hablœ ïñglēs

HELP FAST FAST FAST FASTT PLS<3

A model of the ocean floor takes up 2/5 of the space in an aquarium. If 3/8 of the model is coral, what fraction of the space in an aquarium is taken up by coral?

Answers

Answer:

Fraction = [tex]\dfrac{3}{20}[/tex]

Step-by-step explanation:

Given that,

A model of the ocean floor takes up 2/5 of the space in an aquarium.

3/8 of the model is coral.

We need to find the fraction of the space in an aquarium is taken up by coral. So, it can be done as follows :

[tex]x=\dfrac{3}{8}\times \dfrac{2}{5}\\\\x=\dfrac{3}{20}[/tex]

So, the fraction of space taken by coral is [tex]\dfrac{3}{20}[/tex] in an aquarium.

QUICK SOMEONE PLEASE HELP!! I’LL MARK BRAINLIEST!!!

Answers

Answer:

118

Step-by-step explanation:

180-62=118

You're welcome :)

Answer:

option a. 62°

because opposite angle of parallelogram are equal.

Which is a unit rate?
•68 students to 2 teachers
•80 feet in 20 seconds
•16 people 5 cars
•2 pounds per 1 month.

Answers

Answer:

Remember a unit rate is a rate where the the value in the denominator (or second value in a x to y rate) is 1.

Step-by-step explanation:

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