The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 6th term of the same GP is 324 ,find common ratio

Answers

Answer 1

Complete Question

The sum of 3rd and 4th terms of GP is 108 ,The sum of 4th and 5th term of the same GP is 324 ,find common ratio

Answer:

3

Step-by-step explanation:

The formula for Number of term of a GP = ar^n-1

The sum of 3rd and 4th terms of GP is 108

ar² + ar³ = 108... Equation 1

ar²(1+ r) = 108 ..... Equation 1

The sum of 4th and 5th term of the same GP is 324 ,

ar³ + ar⁴= 324... Equation 2

ar³ (1 + r) = 324..... Equation 2

find common ratio

ar²(1+ r) = 108 ..... Equation 1

ar³ (1 + r) = 324..... Equation 2

Solving for r

ar²(1+ r)/ar³ (1 + r) = 108/324

1/r = 1/3

r = 3

Hence, Common ratio = 3


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Answer:

I think it's BC = EC

Evaluate 2 1/2 × 2 1/2=2^b

Answers

Answer:

solve for b: b=2log2(5)-2

Step-by-step explanation:

Please help use 3.14 for pi​

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Volume of cone: pi * r^2 * h/3
3.14 * 3^2 * 8/3
3.14 * 9 * 8/3 = 75.36 cm^3
The solution is B

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Answers

Answer:

yea its c ಥ⌣ಥ

Step-by-step explanation:

...........

Answer: most likely c.

Iknowimlatebutayofreepoints-✨

What is:
1/4 (q-12) + 1/4 (q-4)
simplified??

Answers

Answer: -b - 9

Step-by-step explanation:

First, since the a cancel eachother out we are left with (4-b) + (-6-7)

Second, you want to add the -6 and -7 to get -13, so (4-b) - 13

Finally, add the 4 to the negative 13 to get (-b - 9)

Hope this helps.

Is a proportional function f(x) = 5x linear? Why or why not? Explain with an example.

Answers

Given two variables x and y, y is directly proportional to x (x and y vary directly, or x and y are in direct variation) if there is a non-zero constant k such that

   y = kx,

The relation is often denoted, using the ∝ symbol, as

   y ∝ x

in this case k = 5/1

The radius of circle B is 6 centimeters. The area of the shaded sector is 31.42 square centimeters. Calculate the angle of the sector. Round to the nearest degree.

Answers

Answer:

100

Step-by-step explanation:

i dont know but the website i was on said 100

Lucy scored 20 points in her basketball game. She made 4 of her free throws, worth 1 point each, and made no 3-point field goals. How many 2-point field goals did she make?
a. write an equation to represent this situation.

Answers

Answer:

Step-by-step explanation:

4x1=4, 20-4=16. 16/2=8. Lucy made 8 2 point field goals

There are 15 counters. One-third of the counters are yellow . How many counters are yellow?

Answers

Answer:

5

Step-by-step explanation:

15 counters/3groups=5 counters per group

List all possible rational zeros
f(x) = x3 – 5x2 + 2x – 10. Then determine which, if any, are zeros.

Answers

Answer:

x = 5

Step-by-step explanation:

f(x) = x^3 – 5x^2 + 2x – 10

p/q, q must divide a_n=1 and p must divide a_0= -10

only 1 divide 1, q=1

1, 2, 5, 10 divide -10

possible rational roots:

1, 2, 5, 10

f(1) = -12

f(2) = -18

f(5) = 0

f(10) = 510

zeros: x = 5

Help me with this please!!!!

Answers

Answer:

yes

Step-by-step explanation:

it said it is a perpendicular BISECTOR, H is the mid point of KI, HK = 7

[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]

Yes!

Can someone help me with this question please

Answers

Answer:

Step-by-step explanation:

y+ 20= x+ 15( Vertically opposite angles)

y+ 20- 15= x

x= y+ 5 __(1)

3x+ 5=4y- 15

Substituting (1)

3(y+5)+ 5= 4y-15

3y+15+5=4y- 15

y=15+20

y= 35

x= 40

This figure is made up of two rectangular prisms.

What is the volume of the figure?

10 ft 3ft 6ft 12ft 19ft

Answers

The volume of the figure is 2052ft

GIVING BRAINLIST!!!
Danielle borrows $2.500 from the bank at 6%
simple interest for 5 years. How much is
Danielle going to pay in interest?
6. (Show work there)
all

Answers

Answer:

150

2.500/6%

not 100% sure tho

Answer:  1 = 2,500 x 0.06 x 5

2a + 3b = 5
b = a - 5

Answers

1st Equation:

Answer for A:

[tex]a = \frac{5 - 3b}{2} [/tex]

Answer for B:

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

2nd Equation:

Answer:

[tex]a = b + 5[/tex]

hope it helps.

Algebraic form of an arithmetic sequence is 3/7n+1. What is
the first integer term of this sequence?

Answers

Answer:

First term = 10/7

Step-by-step explanation:

Given:

n term of arithmetic sequence = 3/7(n)+1

Find:

First term

Computation:

First term n = 1

So,

3/7(n)+1

3/7(1)+1

3/7 + 1

First term = 10/7

Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true?

Answers

Answer:

Step-by-step explanation:

Parallel lines: A and B

Rotation: 90° same direction

Translation: Right (same units)

Can someone please help me with math.

Answers

Answer:

15.D

16.A

Step-by-step explanation:

Hello There!

For 15

We can find the slope given two points by using the slope formula

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

so given the two points (2,-3) and (-2,5)

we plug in the y values and x values into the formula

[tex]slope=\frac{5-(-3)}{-2-2} \\5-(-3)=8\\-2-2=-4\\slope=\frac{8}{-4}[/tex]

Finally we want to simplify

8/-4=-2

so we can conclude that the slope of a line that passes through the points (2,-3) and (-2,5) is -2 (D)

For 16

The y intercept is at (0,0) meaning that at 0 hours there was no water in the pool

So we can conclude that the pool was originally empty

Gladys has just purchased a new home. The house was priced at $105,000,
and she chose a 40-year mortgage at 5.2%. What will her total cost be?
A. $24,776
B. $297,312
C. $249,739
D. $249,906

Answers

Answer: the answer is C

Step-by-step explanation: AP3X

The total cost is $249,739.

What is Mortgage Rate?

A mortgage rate is the interest rate on a mortgage. Mortgage rates are set by the lender and might be fixed, remaining constant during the length of the loan, or variable, varying with a benchmark interest rate. Borrowers' mortgage rates differ depending on their credit profile.

We have,

P = $105, 000

T = 40 year

R = 5.2%

Using

Monthly payment, P = C[i(1+i[tex])^n[/tex]]/[(1+i[tex])^n[/tex]-1]

P = 105,000 [ 0.052/12(1+0.052/12[tex])^{480[/tex]]/[(1+0.052/12[tex])^{480\\[/tex]-1]

P = 105,000 [ 0.00433 (7.8426)] / [7.8426 -1]

P = 105,000 [ 0.03372318] / (6.8426)

P = $249,739

Learn more about Mortgage Rate here:

https://brainly.com/question/10104170

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question is in picture i forgot how to do this and my sister is working on it rn anyone help?

Answers

Answer:

it's A.

Step-by-step explanation:

so basically an open circle means < or >

a closed circle (the filled in one) means greater/least than or equal to

the sign > with an equal sign under it

hope this helps I forgot too for a minute lol

Which is the graph of the linear inequality 1/2x-2y>-6y

Answers

Answer: Are you high school because GOD that looks hard to do.

Step-by-step explanation:

could you give me the answer and not a file that gives me the answer?

Answers

Answer:

y=3x+1

Step-by-step explanation:

slope is 3 (up 3 over 1) and y-intercept is 1

someone help me pls ‍♀️

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Answer: 7 anchors and 2 floats

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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The dimensions of a right rectangular prism are 8/5 cm, 10/3 cm, and 7/4 cm. What is the volume of the prism?

Answers

Answer:[tex]9.33\ cm^3[/tex]

Step-by-step explanation:

Given

The dimension of the prism is

Length [tex]l=\frac{8}{5}\ cm[/tex]

width [tex]w=\frac{10}{3}\ cm[/tex]

height [tex]h=\frac{7}{4}\ cm[/tex]

The volume of Prism is  [tex]V=l\times w\times h[/tex]

Putting values

[tex]\Rightarrow V=\dfrac{8}{5}\times \dfrac{10}{3}\times \dfrac{7}{4}=\dfrac{560}{60}=9.33\ cm^3[/tex]

Help pleaseeeeee!! D:
Find the perimeter of the trapezoid below:

NO CAP PLEASE, TAKE YOUR TIME!!!

Answers

Answer:

Perimeter = 82 units

Step-by-step explanation:

Find:

Perimeter

Computation:

Unknown height = 13 + x

So,

25² = x² + 24²

x = 7

So,

Unknown height = 13 + 7

Unknown height = 20 unit

Perimeter = 25 + 24 + 13 + 20

Perimeter = 82 units

A store sells bottles of juice in boxes. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the maximum number of bottles in each box?

Answers

Answer:

The maximum number of bottles in each box is equal to 9.

Step-by-step explanation:

Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. We need to find the maximum number of bottles in each box. It can be calculated using HCF of 18, 36 and 45

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

So, there are 9 bottles in each box.

Explain how to change a mixed fraction into an improper fraction.

Answers

Answer:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Step-by-step explanation:

Answer:

To do this you will need to multiply the denomenator by the whole number and then add the numerator to that number. After you get that the new numerayoer is the big number and the denomentapr stays the same.

Step-by-step explanation:

2 1/2

5/2

ASAP! PLEASE HELP!! ILL GIVE BRAIN LIST PLEASE!

Answers

Answer: D

Step-by-step explanation:

All you do is divide the answer by 3 for all vertices.

Answer:

B

Step-by-step explanation:

2) Jill is a pharmaceutical sales-person for Rx 'R
Us. She is paid a monthly salary of $4800
plus 5°. commission on sales. How much yearly
sales does Jill have to generate in order for her
yearly pay to be $50.000?
A) $240.000
B) $250.000
C) $260,000
D) $270,000
E) $280,000

Answers

the answer is C due to process of elimination

How would "the product of 2 and a number plus 13" be written an
algebraic expression? *

Answers

2x+13

X= a number

2(a number) + 13

Thank you!

Answer:

2x+13

Step-by-step explanation:

A random number will be x.

The product means multiple.

Hope this helps =]

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