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Simora [160]
3 years ago
9

Find the first term of the following geometric sequence ----,42,126,378,1,134

Mathematics
1 answer:
sergey [27]3 years ago
8 0
Since it is a geometric sequence each term will be a specific multiple of the term preceding it, called the common ratio...

126/42=378/126=1134/378=3

The sequence is a(n)=a(3)^(n-1) and we know the second term is 42 so:

42=a(3)^(2-1)

42=3a

a=14

So the first term is 14.
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Calculate the pay for the following day of a weekly time card given a wage $13/hr <br> HELP PLEASE
dlinn [17]

Answer:

$130

Step-by-step explanation:

The person gets $13 and hour and works for 10 hours 15 minutes. You round down to 10 hours and 10x13=130.

Hope this helps.

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3 years ago
I need help with pre-algebra <br> 8³−9⋅2÷3=
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Step-by-step explanation:

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3 years ago
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If a car travels 792 feet in 12 seconds what is the speed of the car in miles per hour?
UkoKoshka [18]

Answer:

Step-by-step explanation:

1 mile contains 5280 feet

x mile contains 792 feet             Cross Multiply

5280 x = 792                               Divide by 5280

x = 792 / 5280

x = 0.15 miles

1 hour = 3600 seconds

Distance travelled in 12 sec = 0.15 miles

                                 3600 sec = x                       Cross Multiply

12x = 3600  * 0.15                                                  Combine

12x =  540                                                               Divide both sides by 12

12x/12 = 540/12

x = 45 miles / hour

6 0
3 years ago
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An indoor sport exhibition is coming to the arena. Your supervisor has asked you to help set up a handball pitch and seating are
Sphinxa [80]

Answer:

Perimeter: 174.8 m

Area: 1,394 sq m

Step-by-step explanation:

First, the perimeter.

Before we start, let's calculate the circumference of the half-circles at the ends of the field.

The measurement says 2,000 cm, so let's convert it to 20 m for ease.

Circumference of a circle: πd, where d = diameter.. in our case d = 20 m

Circumference of a 20m diameter circle: 20π = 62.8 m

We have 2 half circles... so the perimeter of each half-circle will be: 31.4 m

We also have 800 cm measurement for the "height" of the seating areas... let's convert that in 8 m

We also need to find out the space between the seating area...  We know the whole rectangular pitch is 40 m, then we have to subtract the width of both seating areas (20 and 15 m)... so the space between them is 5m

So, starting with the upper left corner of the rectangular pitch, and working our way clockwise, we encounter the following lengths:

P = 40 + 31.4 + 8 + 10 + 8 + 5 + 8 + 25 + 8 + 31.4 = 174.8 m

The total perimeter is then of 174.8 m

For the area, we need to calculate the area of all forms:

Large rectangular pitch:

LR = 40 x 20 = 800 sq m

The two half circles, form a circle, so A = πr², where r is the radius, which is half the diameter.

AC = π (10)² = 100 π = 314 sq m

Then the seating areas:

SA1 = 25 x 8 = 200 sq m

SA2 = 10 x 8 - 80 sq m

Then, we add up everything:

TA = LR + AC + SA1 + SA2

TA = 800 + 314 + 200 + 80 = 1,394 sq m

3 0
3 years ago
Bob walked 20 miles in 4 hours. Kelly walked 14 miles in 3 hours. Are these rates proportional
zaharov [31]

Answer:

No

Step-by-step explanation:

20/4=5

14/3=4.67

Since they're not the same, they're not proportional.

7 0
3 years ago
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