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

Answers

Answer 1

Answer:

a₄ = 1.25

Step-by-step explanation:

Given that,

First term of GP, a₁ = 10

The common ration of GP, r = 0.5

The nth term of the GP is given by :

[tex]a_4=a_1r^{n-1}\\\\a_4=a_1r^3\\\\a_4=10\times (0.5)^3\\\\a_4=10\times 0.125\\\\a_4=1.25[/tex]

So, the fourth term of the GP is 1.25.


Related Questions

Willy the Wombat is 50 feet from a tree. The tree is 75 feet tall. At what angle of elevation should Willy look to see the top of the tree? Round to the nearest degree​

Answers

56.3 degrees is the answer.

Explanation:

HELP PLEASE I GOT CACA WIFI
Question-
If x = 4 units, y = 8 units, and h = 7 units, find the area of the parallelogram shown above using decomposition.
answer choices-
A. 28 square units
B. 56 square units
C. 84 square units
D. 112 square units

Answers

Answer:28

Step-by-step explanation:

hope this helpes

What is the y-intercept of the equation of the line that is perpendicular to the line and passes through the point (15,-5)?

Answers

Answer:

hi

Step-by-step explanation:

First of all let’s find out the slope of the line y = x +10

As, we know the equation y= mx + c . So comparing the given equation with the general equation we get, m = 1

Now, we know that the product of two perpendicular lines is -1.

Thus, mn = -1 (considering slope of the second line as n)

Putting the value of m we get , n = -1

Now , y+5= -1( x -15) i.e y=-x + 10

if we compare again with the general equation then we find that.

The y intercept of the required equation is 10.

Thank You

Answer:

10

Step-by-step explanation:

First of all let’s find out the slope of the line y = x +10

As, we know the equation y= mx + c . So comparing the given equation with the general equation we get, m = 1

Now, we know that the product of two perpendicular lines is -1.

Thus, mn = -1 (considering slope of the second line as n)

Putting the value of m we get , n = -1

Now , y+5= -1( x -15) i.e y=-x + 10

if we compare again with the general equation then we find that.

The y intercept of the required equation is 10.

Thank You

You've decided to give your best friend a
bag of marbles for his birthday.
Since you know that your friend likes
green marbles better than red ones, the
bag has twice as many green marbles as
red.
The label on the bag says it contains a
total of 84 marbles.
How many green marbles are in the bag?

Answers

56 green marbles!

Hope this helps!:)

Number of green marbles in the bag is equals to [tex]56.[/tex]

What is number?

" Number is defined as the count of any given quantity as per condition."

According to the question,

Given,

Total number of marbles [tex]= 84[/tex]

[tex]'x'[/tex] represents the number of red marbles

As per given condition,

[tex]'2x'[/tex] represents the number of green marbles

Required equation we have,

[tex]x + 2x = 84\\\\\implies 3x =84\\\\\implies x = \frac{84}{3} \\\\\implies x = 28[/tex]

Substitute the value of [tex]'x'[/tex] to get number of green marbles ,

Number of green marbles [tex]2x = 2\times 28[/tex]

                                                 [tex]= 56[/tex]

Hence, number of green marbles in the bag is equals to [tex]56.[/tex]

Learn more about number here

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ASAP!! Find the length of side x in simplest form with a rational denominator

Answers

Answer:

[tex]x=\sqrt{14}[/tex]

Step-by-step explanation:

This triangle is a 45-45-90 triangle.

By using the image I posted, we can find x easily.

So, we have [tex]\sqrt{7}[/tex] as one of the sides.

They hypotenuse, which is x is just [tex]\sqrt{7} \sqrt{2}[/tex]

Simplify and we get x = [tex]\sqrt{14}[/tex]

please help if you are good at math :( thank you

Answers

Answer:

your answer will be

A)(6,10)

B)(2,12)

C)(4,4)

Step-by-step explanation:

hope this helps

have a nice day/night ^_^

Simplify the following monomials 1-12

Answers

Answer:

1. [tex]x^{8}[/tex]

2. [tex]k^{45[/tex]

3. [tex]m^{6}n^{21}[/tex]

4. [tex]64w^{18}[/tex]

5. [tex]81y^{12}[/tex]

6. [tex]16x^{4}[/tex]

7. [tex]-125y^{9}[/tex]

8. [tex]a^{36}b^{4}[/tex]

9. [tex]\frac{1}{128} x^{28}[/tex]

10. [tex]54a^{6}[/tex]

11. [tex]8k^{10}[/tex]

12. [tex]-\frac{16}{9} p^{24}[/tex]

Step-by-step explanation:

Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant

Answers

Answer:

20 cookies

Step-by-step explanation:

Range of a data set plotted on a box plot = the maximum value - the minimum value

The maximum value is indicated by the whisker to your extreme right = 25

The minimum value is indicated by the whisker to your extreme left = 5

Range = 25 - 5 = 20

What is the difference between 4/5- 1/2 *

Answers

Answer:

0.3

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

1. find the lowest common denominator which is 10.

2. for 4/5 you have to multiply 5 by 2 in order to get 10, so you multiply the numerator by 2 as well which gives you 8/10.

3. for 1/2 you have to multiply 2 by 5 in order to get 10, so you multiply the numerator by 5 also which gives you 5/10

4. you work out the difference between both numerators which is 3 and keep the denominator the same

Cab A charges $20 at the start and $5 every mile after . Cab B charges $30 no matter how far you go. What are their initial values and their rates of change? When will their fares be equal?

Answers

Answer:

Car A: Initial Charge = 20

Car B: Initial Charge = 30

Car A: Rate = 5

Car B: Rate = 0

At 2 miles, their charges will be the same

Step-by-step explanation:

Given

Car A

[tex]Base\ Charge = \$20[/tex]

[tex]Rate = \$5[/tex] per mile

Car B

[tex]Base\ Charge = \$30[/tex]

Solving (a): The initial charge

First, we get the  linear equation that represents both car's charges.

Represent number of miles with m.

So, the charges is:

Car A

[tex]A = Base\ Charge + Rate * m[/tex]

[tex]A = 20 + 5 * m[/tex]

[tex]A = 20 + 5m[/tex]

Set m to 0 to get the initial charge:

[tex]A = 20 + 5*0[/tex]

[tex]A=20[/tex]

and

[tex]Rate = 5[/tex]

Car B:

[tex]B = Base\ Charge + 0 * m[/tex] i.e. Rate is 0

[tex]B = 30+ 0 * m[/tex]

[tex]B = 30[/tex]

So:

[tex]Initial = 30[/tex] and [tex]Rate = 0[/tex]

Solving (b): When their charge wil be equal.

To do this, we set:

[tex]A = B[/tex]

[tex]20 + 5m = 30[/tex]

[tex]5m = 30- 20[/tex]

[tex]5m = 10[/tex]

[tex]m = 2[/tex]

At 2 miles, their charges will be equal

Does anyone have the link to this or have the pages please help

Answers

Answer:

I personally don't, but if you search up graph helper you could answer all of them. Hope you find the answer.

Step-by-step explanation:

Use the app Socratic, it’ll check the internet for similar/same sheets.

HOW DO YOU FIND PERCENT INCREASE

Answers

Answer:

Step-by-step explanation:

First: work out the difference (decrease) between the two numbers you are comparing.

Decrease = Original Number - New Number

Then: divide the decrease by the original number and multiply the answer by 100.

% Decrease = Decrease ÷ Original Number × 100

If your answer is a negative number, then this is a percentage increase

I NEED HELP LIKE ASAP PLS WILL GIVE 25 POINTS IF CORRECT PLS NEED ANSWER NOW(ONLY IF CORRECT THO)
Determine the probability of landing on blue. Write your answer as a fraction, decimal, and percent. Show your work! Be ready to discuss your answer. *

Answers

Answer: 3/12  3 blues and 12 colors in total i dont know how to explain sorry

Answer:

Hills, mountains and rivers are example of ------------------ features

detrmine if 7, 5, 84, 48 are in proportion or not​

Answers

Answer:

No, the numbers are not in proportion

Step-by-step explanation:

The proportion between the first two and the second two numbers are:

7/5 and 84/48

Simplifying the second fraction:

84/48 = 7*12/4*12 = 7/4

Comparing the fractions:

7/5 ≠ 7/4

The answer is no

hacmin birimi ...... ve ......dır​

Answers

Answer:

?

Step-by-step explanation:

don't get your question

The frequency table shows the scores from rolling a dice 10 times.

Work out the mean

Answers

Answer: 16/5 or 3.2

Steps:

=> 1× 2 + 2× 2 + 3× 2 + 4× 1 + 5 ×2 + 6 ×1/ 2+2+2+1+2+1

=> 16/5 or 3.2 (answer)

4/5 - 2/3 =
Find equivalent fractions and rewrite the problem and solve

Answers

Answer:

1001/1500

Step-by-step explanation:

The easiest method for doing this is to just average the two numbers.

e.g. to find a number x between the two numbers ab and cd

x=12[ab+cd]

=12[adbd+bcbd]

=ad+bc2bd

In this case…

x=(2×5)+(3×4)2×2×5=10+1230=2230=1115

You can easily see where that came from.

23=1015 and 45=1215

and the ‘common denominator’ means you just have to pick a value between 10 and 12 . i.e. 11

But you can also say…

23=100150 and 45=120150

and choose any of 101150,102150,...,119150

or

23=10001500 and 45=12001500

and choose any of 10011500,10021500,...,11991500

Answer:4/5 and 2/3 each have a common bottom of 15 so 4/5 is

12/15 and 2/3 will be 10/15

Step-by-step explanation:So than 12/15 forget the bottom don't subtract the bottom just look at it like [12-10] then you got 2 then you go back to the bottom and put it together so your answer is [2/15]

How many applications will your mother actually use on her new cell phone?
Solve the equation you wrote in part b to find the unknown variable. (2 points)

Answers

Answer:

24

Step-by-step explanation:

Last week, the Bay City Bus Company tracked how long their school buses took to complete their routes. This box plot shows the results. Length of route (min.) 24 26 28 30 32 34 What percent of the buses completed their routes in 27 to 30 minutes?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Plot: \{24, 26, 28, 30, 32, 34\}[/tex]

Required

Determine the percentage of those who uses the bus for 27 to 30 mins

The box plot is not given. So, I will make assumptions in order to solve this question.

Assume the following readings from the box plot:

[tex]Total\ Buses= 60[/tex]

[tex]27-30\ Minutes = 20\ buses[/tex]

Using these assumptions, the required percentage is:

Total = 6

27 to 30 minutes = 2

[tex]Percent = \frac{27\ to\ 30\ mins}{Total} * 100\%[/tex]

[tex]Percent = \frac{20}{60} * 100\%[/tex]

[tex]Percent = \frac{2000}{60} * \%[/tex]

[tex]Percent = 33.33 * \%[/tex]

Answer:

50%

Step-by-step explanation:

I took the test!

write the equation of the image y=x^2 after vertically stretched by a factor of 2 and horizontally shifted 3 units to the left​

Answers

Answer:

2=3^2?????

Step-by-step explanation:

y=x^2

(3,2)

substitute

2=3^2

3/4(1/6x+16)=3/7(4 3/8x-21) I WILL AWORD BRILLENEST :>

Answers

Answer:

x=12

Step-by-step explanation:

Let's solve your equation step-by-step.

34(16x+16)=37((438)(x)−21)

Step 1: Simplify both sides of the equation.

18x+12=158x−9

Step 2: Subtract 15/8x from both sides.

18x+12−158x=158x−9−158x

−74x+12=−9

Step 3: Subtract 12 from both sides.

−74x+12−12=−9−12

−74x=−21

Step 4: Multiply both sides by 4/(-7).

(4−7)*(−74x)=(4−7)*(−21)

x=12

Answer:

x=12

Answer:

x = 12

Step-by-step explanation:

34(16x + 16) = 37((438)(x) − 21)

18x + 12 = 158x − 9

18x + 12 − 158x = 158x − 9 − 158x

−74x + 12 = −9

−74x + 12 −12 = −9 −12

−74x = −21

(4−7) × (−74x) = (4−7) × (−21)

x = 12

I need help fast i apericiate it my guy

Answers

Answer: 59

Step-by-step explanation:

Answer:

I think it's letter b.29

The legs of a right triangle are 3 and 6. Find the length of the hypotenuse

Answers

Answer:

6.71 unit

Step-by-step explanation:

Given that:

Legs of a right angle triangle are 3 and 6

From Pythagoras rule;

Hypotenus = sqrt(Adjacent² + opposite²)

Both legs are adjacent and opposite

Hence,

Hypotenus = sqrt(3² + 6²)

Hypotenus = sqrt(9 + 36)

Hypotenus = sqrt(45)

Hypotenus = 6.708

Hypotenus = 6.71

jojo makes 100 working eight hours. Trish earned 25 working one hour. How much more money does Trish make than Jojo after 10 hours?

Answers

Answer:

Jojo makes 1000 and Trish makes 250

Step-by-step explanation:

I hope this helped

Answer:

Trish makes $125 more than Jojo after 10 hours

Step-by-step explanation:

$125 jojo

$250 Trish

x
<
>
The probability of drawing a blue ball from Bag A is 1/5 and the
probability of drawing a red ball from Bag B is 2/3.
What is the probability of drawing a blue ball from Bag A AND a red
ball from Bag B?

Answers

Answer:

the probability of drawing a blue ball from bag A is 1/5 and the probability of drawing a red ball from bag B is 2/3.

The probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.

What is the definition of probability?

Probability denotes the likelihood of something happening. It is concerned with the occurrence of an unpredicted event.

Probability can only have a value between 0 and 1. Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of events is known as the favorable event ratio.

The probability of drawing a blue ball from Bag A is, 1/5

The probability of drawing a red ball from Bag B is, 2/3.

P(A)=1/5

P(B)=2/3

The probability of drawing a blue ball from Bag A and a red ball from Bag B will be;

P(A and B)=P(A). P(B)

P(A and B)=(1/5)×(2/3)

P(A and B)=(2/15)

Hence,the probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.

To learn more about the probability refer;

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pls help me math its due today​

Answers

Answer:

For multiplication you added the exponents and for division you minus the exponents

Answer:

kdkdjdduidddsisiodiod

n
2. (a) If ^nP2= 20, find the value of n.
2​

Answers

Answer:

[tex]n = 5[/tex]

Step-by-step explanation:

Given

[tex]^nP_2 = 20[/tex]

Required

Find n

To do this, we apply permutation formula.

[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]

So, we have:

[tex]\frac{n!}{(n-2)!} = 20[/tex]

Expand the numerator

[tex]\frac{n(n-1)(n-2)!}{(n-2)!} = 20[/tex]

Divide by (n-2)!

[tex]n(n-1)= 20[/tex]

Expand

[tex]n^2 - n = 20[/tex]

[tex]n^2 - n - 20 = 0[/tex]

Expand

[tex]n^2 +4n -5n - 20 = 0[/tex]

Factorize

[tex]n(n+4)-5(n+4)= 0[/tex]

[tex](n-5)(n+4) = 0[/tex]

[tex]n - 5 = 0[/tex] or [tex]n + 4 = 0[/tex]

[tex]n = 5[/tex] or [tex]n = -4[/tex]

Since n cannot be negative, then:

[tex]n = 5[/tex]

Will the sum of 56+ (-56) be Positive negative or zero

Answers

0 is the answer! U can type it in the calculator

Answer:

zero

Step-by-step explanation:

56+(-56),thus

the negative overcomes the positive,

56-56

0

MY
2B =
Cou
Round your answer to the nearest hundredth.
SA
A
MY
Pro
9
Pro
Tea
B
5

Answers

Answer:

<B = 56.25°

Step-by-step explanation:

Reference angle = B

Hypotenuse = AB = 9

Adjacent = BC = 5

Applying trigonometric ratio:

[tex] cos (B) = \frac{adj}{hyp} [/tex]

[tex] cos (B) = \frac{5}{9} [/tex]

[tex] B = cos^{-1}(\frac{5}{9}) [/tex]

B = 56.25° (nearest hundredth)

Ethan says that if the diameter of a bicycle wheel is 3.5 feet then its
radius must be 1.75 feet. Is Ethan correct?

Answers

Answer: Yes he is correct

Explanation:

The radius is half the diameter

radius = diameter/2 = 3.5/2 = 1.75

Answer:

yes hes right.

Step-by-step explanation:

d = 2 x 1.75

d = 3.5

c = 2 x pi x 1.75

c = 3.5

ur answer is 3.5 ethans right

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