HELP ME PLEASEE



Given that 4, 5x and 16 are the first three terms of geometric progression

Find:
(1)
the possible values of x,

(2)
the sum of the first ten terms if all the terms are positive.

Answers

Answer 1

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

========================================================

Explanation:

r = common ratio

first term = 4second term = (first term)*(common ratio) = 4rthird term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

5x = 4r4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

-----------------

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

a = 4 = first termr = 2, since we want all the terms to be positiven = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092


Related Questions

3+4x+x^2 = y Given x = 1

Answers

Answer:

8

Step-by-step explanation:


In the figure at right, BC = 10. Find AC.

Answers

Answer:

i dont know

Step-by-step explanation:

Step-by-step explanation:

angle(A+B+C)=180°{sum of angle of triangle}

C=180°-135°

C=45°

now,

sin theta=p/h

sin 45°=10/AC

1/√2=10/AC

AC=10√2

Ac=14.14

stay safe healthy and happy.

Please help I will mark as brainliest!!

Answers

Answer:

117°

Step-by-step explanation:

x= 180-101+38= 117°

$600 at 4% for 9 months. ​

Answers

It’s like 24 if your asking how much 4% of 600 is.

The simple interest for the principal amount of $600 at the rate of 4% for 9 months will be equal to $216.

What is Simple interest?

A quick and simple way to figure out interest on that money is to use the simple interest approach, which adds interest at the same rate for each daily cycle, and it is to the initial principal amount. A way to figure out how much interest will be charged on an amount of money at a specific rate and for a specific duration of time is by using simple interest.

As per the given information in the question,

Principle amount, P = $600

Time, T = 9 months

Rate, R = 4%

SI = (600 × 9 × 4)/100

SI = $216.

The SI will be $216.

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Find the surface area off the prism. Please help me solve this!

Answers

Surface area of the prism for rectangular prism is A = 2(lw+lh+wh)

w= 5 ft
h=1 ft
l= 10 ft

A = 2((10x5)+(10x1)+(5x1))
A = 130 ft^2

I hope it is right! Good luck!:)

Matt has 5 Cookies
Linn eats 3 of the cookies
How old is Linn

Answers

Answer:

3

Step-by-step explanation:

Where did you get this question?

The number of cookies left, if Matt has 5 Cookies and Linn eats 3 of the cookies, is 2.

What is subtraction?

The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given:

The total number of cookies, t = 5,

The number of cookies Linn eats, n = 3,

Calculate the number of cookies left by using subtraction as shown below,

The number of left cookies = Total number of cookies - The number of cookies Linn eats

The number of left cookies = t - n

The number of left cookies = 5 - 3

The number of left cookies = 2

Thus, the number of cookies left is 2.

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The complete question is: Matt has 5 Cookies and Linn eats 3 of the cookies, how many cookies are left?

What is the solution to the equation fraction 1 over 3 x = 6? (5 points)
A. x = 18

B. x = 2

C. x = fraction 1 over 2

D. x = fraction 1 over 18

Answers

Step-by-step explanation:

Divide each term by 3 and simplify. x = 2

Answer:

B is the answer

Step-by-step explanation:

Solve for x. Assume that lines that appear tangent are tangent.
A. 18.75
B. 8
C. 13
D. 12

Answers

Answer:

it A

Step-by-step explanation:

The value of x in the circle is 13.

Option C is the correct answer.

What is a circle?

A circle is a two dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

A chord is a line segment connecting two points on a circle.

A chord is different from a diameter, which is a chord that passes through the center of the circle.

The chords in a circle are all the same with the same length.

From the given diagram,

There are two chords.

This can be written as:

(15 + 8) = 23 makes one chord.

(10 + x) makes one chord.

Now,

23 = 10 + x

Solve for x.

23 = 10 + x

23 - 10 = x

x = 13

Thus,

The value of x in the circle is 13.

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The radius of a circle is 12 in. Find its circumference in terms of
π
π.

Answers

Answer:

It would be 24(π)

Step-by-step explanation:

This is due to the circumfenrece equation for a circle being (π)D, with D as the diameter which is 2x the radius, so 12x2=24.

After this, it is 24(π), though leave it at there since it is meant to be written in terms of it. You're now done!

Answer:

75.4 in. ???

Step-by-step explanation:

Come back if its not correct.

.
Use the function to find y when x = 3.

y = 2x


a. 6

b. 5

c. –1

d. 3/2
Pls help me am on a test :-)

Answers

Answer:

x=3

y=2x

y= 2×3

y=6

option a is the answer

The answer is 6! Multiply 2 x 3 because x = 3 and you will get 6, which is y.

1. What is the length of the missing side?
42 mm
56 mm
C?
What is the length of the hypotenuse?
C=
millimeters

Answers

Answer:

70 mm

Step-by-step explanation:

Use PYTHAGOREAN THEOREM: a^2+b^2=c^2

42^2 + 56^2 = c^2

1764 + 3136 = c^2

4900=c^2

square root of 4900 is 70

so, the final answer is 70 mm

42^2+56^2=c^2
1764+3136=c^2
4900=c^2
Square root of 4900 is 70
Answer:70

7. Write the roman number in Hindu Arabic numbers
CCLX= .....​

Answers

Answer:

260 is the number in hindu/arabic

Answer:

CCLX=100+100+50+10

=260

Step-by-step explanation:

You have completed various experiments with both 50 and 80 kg masses. If you were to complete the above simulation with a 150 kg mass, how much force would be required to move the load?

Answers

Answer:

20

Step-by-step explanation:

if you already completed various experiments with 50 and 80, add those 2 and you get 130. Then just subtract 150 and 130 and you should get 20.

please let me know if this is correct, i didn't really understand the question that well but this is what seems correct from the way i am looking at it.

hope this helps!!

Four streets feed into a roundabout circle as shown below. If the diameter of the
roundabout is 130 feet, find the approximate distance a car will travel between Cole Street and Maple Street along the roundabout (take the shorter route from Cole to Maple).

98.5 ft

125.9 ft

119.1 ft

107.2 ft

Answers

Answer: 119.1ft............

You bought a used truck for $15,000. The value of the truck will decrease each year because of depreciation. The truck depreciates at the rate of 8% per year estimate the value of the truck in 5 years

Answers

Answer: $9886.22

Step-by-step explanation:

Which expression matches the graph?

A. n< 1
B. n> 1
OC. ns1
D. n=1
Ε. η Σ1

Answers

Answer:

c.

Step-by-step explanation:

[tex]n \leqslant 1[/tex]

Pakistan scored 270 runs and fell short by India’s score by 10%. How much did India score

Answers

India's score is 300 and pak's is 270

345 x 326 = ?
Help me pls

Answers

Answer:

112,470 your welcome : )

PLEEASE HELP 30 POINTS

Answers

Answer:

62°

Step-by-step explanation:

m L 6 = m L 8 (same facing of) = 62°

The formula for the perimeter, P, of a rectangle is P = 2(l + w), where l represents the length and w represents the width.
A. Todd has a string that is 26 inches long and wants to create a 9-inch-long rectangle with it. Substitute these values into the formula above, and solve for w to determine how wide Todd’s rectangle must be. Show your work.

B. Todd solved for the width arithmetically, as follows:

The length of the rectangle is 9 inches, so the sum of the lengths of the two long sides is 2 • 9 = 18 inches.

The string is 26 inches long, and 18 inches are used for the long sides of the rectangle, so the number of inches available for the short sides is 26 − 18 = 8 inches.

A rectangle has 2 congruent short sides, so the length of each short side, or the width of the rectangle, is 8 ÷ 2 = 4 inches.

Describe how Todd’s arithmetic solution process is similar to your algebraic solution process from part A, and how they are different.

C. The perimeter formula can be solved for w, in terms of P and l, as shown below.

P = 2(l + w)

P = 2l + 2w

P − 2l = 2w

= w

Explain why it could be useful to solve the perimeter equation for w in terms of P and l.

Answers

Answer:

p= 2L + 2w

p= 2×26 + 2×9

35-52=18

w=35

Find the value of x

please helppp

Answers

2 • xy (midsegment) = sum of the bases

Plug in the numbers

2 • 12.5 = 3x + 1 + 15

Add 1 and 15 together

25 = 3x + 16

Subtract 16 on both sides and you should get:

9 = 3x

Divide both sides by 3

9/3 = 3x/3

Answer:

3 = x

Please answer this, I've asked before but someone just took my points without answering and I really need the answer

Answers

Answer:

I think the answer is 45 but that may be wrong

Graham carves a block of wood shaped like a cube with a square pyramid on top. What is the surface area of the toy?

Answers

Answer:

1080 cm²

Step-by-step explanation:

Surface area pyramid shape = 2(15*12) = 360

Surface area cube = 5( 12 x 12) = 720

360 + 720 = 1080 cm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

what is this Help plz !

Answers

24 square units is the answer

Which of the following is a right triangle in the diagram

Answers

Answer:

All of the above

Step-by-step explanation:

Please help I’ll make you the brainiest

Answers

Answer:

I feel like it's B

Step-by-step explanation:

a park ranger measures the heights in the box plot​​

Answers

Answer:

The answer is c because 5 is not dotted anywhere?????

[tex]5+\frac{x}{2} \geq 10[/tex]

Answers

X would be greater than or equal to 9

On Sunday, Sam walked to the hardware store and decided to buy a saw for $12.53 . Sam handed the salesperson $12.88 for his purchase. How much change did Sam receive?

Answers

Answer:

i need this too so any body that knows it plz help

i am not that good at math but this is the answer i got that changed

12.36 i really really hope it helped ;) have a nice day

Solve
x+y= -1
x - y = -7
using elimination.

Answers

Answer:

(-4, 3)

x = -4, y = 3

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