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OLga [1]
2 years ago
13

The product of the 2nd and 3rd term of a gp is 972.if the first term is 3/4.find the common ratio.

Mathematics
1 answer:
lana [24]2 years ago
4 0

Answer:

Common ratio = 12.

Step-by-step explanation:

2nd term = a1r and 3rd = a1r^2

So (a1)^2 r^3 = 972

a1 = 3/4, so

(3/4)^2 r^3 = 972

r^3 = 972 / 9/16

r^3 = 972*16/9 = 1728

r = 12.

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Step-by-step explanation:

4 0
2 years ago
–14=–(-2x+2)8)51=7(-1+2v)+2
Ksivusya [100]

Answer:

x = -6; v = 4.

Step-by-step explanation:

–14 = –(-2x + 2)

-14 = 2x - 2

2x - 2 = -14

2x = -12

x = -6.

51 = 7(-1 + 2v) + 2

51 = -7 + 14v + 2

51 = 14v - 5

14v = 56

v = 4.

Hope this helps!

6 0
3 years ago
A basketball with a diameter of 9.5 in. is placed in a cubic box with sides 15 in. long. How many cubic inches of packing foam a
Doss [256]

Answer:

The volume of foam needed to fill the box is approximately 2926.1 cubic inches.

Step-by-step explanation:

To calculate the amount of foaming that is needed to fill the rest of the box we first need to calculate the volume of the box and the volume of the ball. Since the box is cubic it's volume is given by the formula below, while the formula for the basketball, a sphere, is also shown.

Vcube = a³

Vsphere = (4*pi*r³)/3

Where a is the side of the box and r is the radius of the box. The radius is half of the diameter. Applying the data from the problem to the expressions, we have:

Vcube = 15³ = 3375 cubic inches

Vsphere = (4*pi*(9.5/2)³)/3 = 448.921

The volume of foam there is needed to complete the box is the subtraction between the two volumes above:

Vfoam = Vcube - Vsphere = 3375 - 448.921 = 2926.079 cubic inches

The volume of foam needed to fill the box is approximately 2926.1 cubic inches.

4 0
3 years ago
Amir has a bag of dimes and quarters. He has a total of 31 coins worth $5 20. Let x represent the number of dimes and y represen
yulyashka [42]

Answer:

This is the given information for which system of equations would be used to find out how many dimes and quarters Amir has?

x = dimes          x = 0.10 or 0.1

y = quarters      y = 0.25

31 coins

worth $5.20       = 5.2

x + y = 31

0.1x + 0.25y = 5.2

Step-by-step explanation:

3 0
2 years ago
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iVinArrow [24]
The cost of the premium - $16,000 (40 x $400)
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