If the third term of geometric series is 3, find the product of its first five terms.​

Answers

Answer 1

Answer:

Solution

Third term of G.P.=ar2=3

General term =arn−1

Product of first five terms =a5⋅r0+1+2+3+4

=a5r10=(ar2)5

=(3)5

=243.


Related Questions

the cost of dog food varies directly with the number of pounds bought. if 2 lb of dog food cost $5 find the cost of 5 lbs.

A 2.50
B 5.00
C 10.00
D 12.50​

Answers

Answer:

Step-by-step explanation:

Evaluate the answers, and then you can maybe replace 2 with a variable until you find the cost of 5lbs

12.50 just multiply

I’m bad at math in need of assistance

Answers

The answer is 20.21 degrees
But don’t try to copy in exam

At a local ice cream shop, customers pay a set price for a regular ice cream, plus an additional charge per topping ordered. A regular ice cream with 2 toppings would cost $4.50, and a regular ice cream with 4 toppings would cost $6.00. What two ordered pairs could you make out of this situation?

Answers

(2, 4.50) (4, 6.00) are the two ordered pairs

Please help me! I would really appreciate it.

Answers

Answer:

8.5

Step-by-step explanation:

To find the volume, multiply the base ( 2 1/8) by the height (4), to get the final answer, 8.5.

Hopefully this helps- let me know if you have any questions!

I REALLY NEED HELP MY GRADES GO IN TONIGHT AND I CANT SOLVE THIS I NEED A REAL ANSWER I WILL CHECK BEFORE GIVING POINTS!!!!!!!!!!!!!!!!!

Answers

Answer:

A melt down

Step-by-step explanation:

I do not know if this is correct, but I searched it up and its what I got

Mai is filling her fish tank. Water flows into the tank at a constant rate. Complete the table below and answer the following questions. time (minutes) water (gallons) Please help asap! i just need to know that constant of proportionality.

Answers

Answer:4.8

Step-by-step explanation:

I’m stuck please help guys

Answers

Answer:

option B: 15[tex]x^8 y^5 z^7[/tex]

Step-by-step explanation:

we just calculate 5 x^4 y^2 z^2 multiplied by 3x^4 y^3 z^5

and that gives the answer

So im really bad at multiplying, add, subtracting fractions could someone tell me how? -bewuga

Answers

Answer:

just make denominator same by multiplying on numerator and denominator simple and do add or subtract

The rectangular prism below was built by stacking rinder blocks that measure 1 foot on each side.

What is the volume of this rectangular prism? Why?

Answers

Answer:

125ft cubed

Step-by-step explanation:

Volume of a cube = LWH

v= 5^3

v= 125 ft cubed

The range of a relation is given.



−2,−1,0,1,2



Which domain would make the relation not a function?




12,1,0,−1,−12


−2,−1,0,1,2


0,−1,2,1,0


0,1,2,3,4

Answers

Answer:

c

Step-by-step explanation:

it has a repeating domain so it can not be a function

0,−1,2,1,0 has two values corresponding to a range of functions so it will not form a function so option (C) will be correct.

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of functin at x = 1 its that f(1) = 1 called range variable.

To be a relation a function for every single unique input there must be single unique output.

Since the interval 0,−1,2,1,0 has 2 inputs for single output so it will not form an function.

Hence "0,−1,2,1,0 has two values corresponding to a range of functions so it will not form a function".

For more details about the range and domain of the function,

brainly.com/question/28135761

#SPJ6

Which of the following is a quadratic equation?
1) [tex]y=2^x[/tex]
2) [tex]y=x^2+2x^3+4[/tex]
3) [tex]4x^2-1[/tex]
4) [tex]y=2x[/tex]

Answers

Answer:

  3)  4x² -1

Step-by-step explanation:

A quadratic equation is a 2nd-degree polynomial equation.

1) an exponential equation (the variable is in the exponent)

2) a cubic equation (degree = 3)

3) a quadratic equation

4) a linear equation (degree = 1)

Write and solve a proportion to answer the question. 25% of what number w is 9? 25 100 =​

Answers

Answer:

36

Step-by-step explanation:

to find 100%, multiply 9 (25%) by 4 and get 36

25% of 36 is 9.

Important information:

25% of a number w is 9.

We need to find the unknown number w.

Proportion:

25% of a number w is 9. So,

[tex]\dfrac{25}{100}w=9[/tex]

[tex]\dfrac{1}{4}w=9[/tex]

[tex]w=9\times 4[/tex]

[tex]w=36[/tex]

Thus, the value of the unknown number is 36.

Find out more about 'proportion' here:

https://brainly.com/question/173404

5/3 divied by 7 i need to know please help if you know

Answers

Answer:

5/21

Step-by-step explanation:

name the transversal
A. Line L
B. Line M
C. Line N
D. There is no transversal

Answers

the transversal is letter D

Solve the equation 3sin2 theta = sin e, for values of e between Oº and 360°

[A] 26.7, 153.3, 158.2, 338.2

[B] 0, 19.5, 160.5, 180.360

[C] 39.2, 140 8, 219.2 620.8

[D] 65,7 68.7; 120:1, 140.8​

Answers

Answer:

[B] 0, 19.5, 160.5, 180, 360

Step-by-step explanation:

3 sin²θ = sin θ

3 sin²θ − sin θ = 0

sin θ (3 sin θ − 1) = 0

sin θ = 0 or sin θ = ⅓

If sin θ = 0, θ = 0°, 180°, 360°.

If sin θ = ⅓, θ = 19.5°, 160.5°.

Simplify the following expression

Answers

Answer:

2

Step-by-step explanation:

(3 + √7)(3 - √7)

3(3 - √7) + √7(3 - √7)

9 - 3√7 + 3√7 - √49

9 - 7 = 2

I hope this helps!

what is the product of 3/4 and -6/7 ?​

Answers

Answer:

-9 / 14

Step-by-step explanation:

Product means multiply
3/4 x -6/7 = -9 / 14

Answer:

-18/28 which simplifies to -9/14

Step-by-step explanation:

and subtracting polynomials
Geometry:
Explain the steps in paragraphs to find the measure of the
missing side (AC) of the triangle shown below.


please help me i have more work to do in my other classes that i wont have time to do this one today :(

Answers

Answer :

10 cm

Explanation :

This is Right Angled Triangle.

Solution :

We'll solve this using the Pythagorean Theorem.

where,

AB (8 cm) is the perpendicularBC (6 cm) is the Base.AC is the Hypotenuse.

We know that,

[tex] {\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }

[/tex]

Now, we will substitute the given values in the formula :

[tex] {\longrightarrow \sf \qquad (AC) {}^{2} = (8) {}^{2} +( 6) {}^{2} }[/tex]

We know that, (8)² = 64 and (6)² = 36. So,

[tex] {\longrightarrow \sf \qquad (AC) {}^{2} = 64 + 36 }[/tex]

Now, adding 64 and 36 we get :

[tex] {\longrightarrow \sf \qquad (AC) {}^{2} = 100 }[/tex]

Now, we'll take the square root of both sides to remove the square from AC :

[tex] {\longrightarrow \sf \qquad \sqrt{(AC) {}^{2}} = \sqrt{100} }[/tex]

When we take the square root of (AC)² , it becomes AC

[tex] {\longrightarrow \sf \qquad AC = \sqrt{100} }[/tex]

We know that, square root of 100 is 10 .

[tex] {\longrightarrow \bf \qquad AC = 10 }[/tex]

So,

The measure of the missing side AC is 10 cm .

Which of the following lines is perpendicular to the line y = 5x +9? Y= -1/5x - 7 Y= 5x - 1/9 Y= -5x +1 Y= 1/5x + 9

Answers

Answer:

y= -⅕x -7

Step-by-step explanation:

The slope of a perpendicular line is the negative reciprocal of that of the given line.

That is, if the slope of the given line is m, then the slope of the perpendicular line is [tex] - \frac{1}{m} [/tex].

Another way to remember it is that the product of the slopes of two perpendicular lines is -1.

Given equation: y= 5x +9

This equation is in the slope-intercept form, thus its slope is the coefficient of x.

Slope= 5

Slope of perpendicular line= -⅕

Hence we should look for an equation with -⅕ as the coefficient of x, since all the options given are in slope-intercept form.

Thus, y= -⅕x -7 is the correct option.

What is slope- intercept form?

y= mx +c, where m is the slope and c is the y-intercept

Written as fraction the decimal numbers 0.3 and 0.11 are 3/10 and 11/100 respectively.can see a pattern?use this knowledge to convert 0.0625 into a fraction.then find its simplest form

Answers

Answer:

1/16

Step-by-step explanation:

0.0625=625/10000=[25/100]^2=[1/4]^2=1/16

What is the first quartile of the data displayed in this box-and-whisker plot?


143.0

43.5

99.5

113.0

Answers

Answer:

The first quartile is 99.5

Step-by-step explanation:

please help me with this question! thank you :)

Answers

Answer:

[tex]2 + 2 = 0[/tex]

Step-by-step explanation:

It's easy you are

kid‍♂️‍♂️‍♂️

Use the graph to answer each question

Answers

Answer:

Step-by-step explanation:

a) The relative minimum of the function from the graph is -18 at x=0.

b) The graph ends with two arrows which means it continues from there indefinitely. So the function increases from x equal to negative infinity to -2 and then from 0 to +2.

why does it take more cubes with 1 3 unit side lengths to fill the prism than it does with cubes with 1 2 unit side lengths

Answers

Answer:

It takes 135 of the 1/3 unit cubes to fill the prism. How many cubes with 1/3 unit side lengths can fit in a cube with 1-unit side lengths? There are 27 cubes with 1/3 unit side lengths in 1 cubic unit

Answer:

Below.

Step-by-step explanation:

1x3 side lengths consists of 3 cubes. 1 by 2 side length consists of 2 cubes. 3 >2

The average of 6, 10, x, 20 and 30 is 18. What is the value of x.​

Answers

Answer:

24

Step-by-step explanation:

just multiply 5 times 18 and gives u 90 and then add all the other numbers and het 66 90 m-66=24 all that added equals 90 90 divided by 5 is 18

Round 7.788 to the nearest hundredth.

Answers

Answer:

7.79

Step-by-step explanation:

A hundredth is the second number after the decimal. For example, in the number 100.234, the "3" would be the hundredth, the "2" would be the tenth, and the "4" would be the thousandth.

To round to the nearest hundredth, you have to look at the thousandth because when rounding, you look at the next number to decide whether to round up or down.

Since 8 is in the thousandth place in this question, and 8 is bigger than 5, you round up. So, you round the "8" in the hundredths place up to 9.

Therefore, you get 7.79.

A rectangle with area 12 square units is dilated by a
scale factor of k.
Find the area of the image for each given value of k.
K=1/4

Answers

Answer:

  3/4 square units

Step-by-step explanation:

When linear dimensions of similar figures are related by a factor of k, their areas are related by a factor of k².

For an original figure of area 12, each image figure dilated by a factor of k will have an area of 12k².

For k=1/4, the area is ...

  12(1/4)² = 12/16 = 3/4 . . . . square units

_____

Additional comment

Their volumes are related by a factor of k³. It can help you understand if you think about the area and volume formulas:

  A = LW

  A' = L'W' = (kL)(kW) = k²·LW = k²·A

Similarly ...

  V = LWH

  V' = L'W'H' = (kL)(kW)(kH) = k³·LWH = k³·V

Pleaseee help me

1/4c+5/3c-4=2-1/12 What dose c equal

Answers

Answer:

c=2.5652

Step-by-step explanation:

Given ,

1/4c+5/3c-4=2-1/12

or, c(1/4+5/3)=2-1/12+4

or,c(( 3+20)/12)=(24-1+36)/12

or,23/12c=59/12

or.23c=59

or,c=59/23

or,c=2.5652

Members of the​ store's loyalty club get an additional ​%20 off their computer purchases. How much do club members pay for the computer with their​ discount?




thanks for the support :)

Answers

What is the price of the computer without the discount? To solve this you need to know how much the computer costs and then take 20% off of it.

When stacys son Kevin solves the problem

Answers

Answer:

,,,,,,,,,,,,,,mmmmmmmm

Step-by-step explanation:

Answer:

what is the question

Step-by-step explanation:

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