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Allushta [10]
3 years ago
5

The first term of a G.p are as follows: m, m^2+4, 16m find the 5th term

Mathematics
1 answer:
Anna35 [415]3 years ago
4 0

Answer:

512

Step-by-step explanation:

In a geometric sequence, the ratio between the second term and the first term is equal to the ratio between the third term and the second term.

(m² + 4) / m = 16m / (m² + 4)

Solve:

(m² + 4)² = 16m²

m² + 4 = 4m

m² − 4m + 4 = 0

(m − 2)² = 0

m = 2

The first three terms of the geometric sequence are therefore 2, 8, 32.

The common ratio is 4, and the first term is 2.  So the 5th term is:

a = 2 (4)⁵⁻¹

a = 512

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Three planets are in line and are orbiting round a sun, one take 1 week to orbit the sun another takes 9 weeks and the other tak
patriot [66]

Answer:

27 weeks.

Step-by-step explanation:

You need to calculate the minimun common multiple between the three times.

1 week = 1^1 week

9 weeks = 3^2 weeks

27 weeks = 3^3 weeks

You take the 1 and the 3 with the biggest exponent and multiply. In this case is 1^1*3^3 = 27. So, in 27 weeks the pkanets will all be in alignment.

7 0
3 years ago
How much would you be willing to rent an additional oven when the order size is 1 dozen cookies
Kamila [148]

The amount that you should be willing to rent an additional oven when the order size is 1 dozen cookies is the amount that is less than the profit of producing those cookies.

<h3 /><h3>What amount should be paid to rent an additional oven?</h3>

The dozen cookies that Kristen’s Cookie Company are about to make are an additional order which means that they do not have the ovens to make it.

They will therefore have to rent an additional oven. If they did this, the amount they pay for the additional oven should not give them losses. They should therefore rent the oven at a cost that is less than the profit they will get for the additional 1 dozen cookies.

Find out more on accepting additional orders at brainly.com/question/25811981.

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3 0
2 years ago
A cylindrical grain bin has a radius of 7 feet and a height of 25 feet. How many cubic feet can the unit hold?
Alex17521 [72]

Answer:

3847 ft³

Step-by-step explanation:

The volume of a cylinder of radius r and height h is V = πr²h.

Here, the volume is V = π(7 ft)²(25 ft) = 1225π ft³, or approximately 3847 ft³.

7 0
3 years ago
7x &lt; 10<br> please solve
Anvisha [2.4K]

Answer: The answer would be  x < 10/7

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    7*x (10)>0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  7x - 10  =   -1 • (7x + 10)

Equation at the end of step

1

:

STEP 2

:

2.1   Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     7x+10  < 0

2.2    Divide both sides by  7  

     x+(10/7)  < 0

Solve Basic Inequality :

2.3      Subtract  10/7  from both sides

           x < 10/7

Inequality Plot :

2.4      Inequality plot for

        7.000 x  - 10.000  >  0

 

One solution was found :

x < 10/7

4 0
3 years ago
Need help ASAP !!! And show work please
sammy [17]

Answer:

\sqrt{40} or 6.32

Step-by-step explanation:

We can find the distance between two points by using this formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

where the x and y values are derived from the given points

The points given are ( -2 , 5 ) and ( 4 , 3 )

So we plug in the x and y values of those coordinates into the distance formula

\sqrt{(4-(-2)^2+(3-5)^2} \\4-(-2)=6\\3-5=-2\\d=\sqrt{6^2+-2^2} \\6^2=36\\-2^2=4\\36+4=40\\d=\sqrt{40}

or 6.32

6 0
3 years ago
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