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Sonja [21]
3 years ago
6

What is the 20th term in the sequence 1/2, 2, 7/2, 5

Mathematics
1 answer:
Nitella [24]3 years ago
7 0
2-0.5=1.5
3.5-2=1.5
Therefore difference is 1.5=n
1.5n-1 is nth term
When n=20
=29
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One of the smallest pools on the ship has about 45,000 gallons of water in it.
gtnhenbr [62]

Amount of water in the pool at the end of the day is 5457798.7 gallons

<u>Explanation:</u>

Given:

Initial amount of water in the pool = 45,000 gallons

Increase in amount = 0.75 in per minute

Time, t = 1 day

t = 24 X 60 min

t = 1440 min

So,

Increase in amount of water in 1 day = 0.75 in X 1440

                                                             = 1080 in

Volume of 1080 in of water = (1080 in)³

Volume from cubic inch to gallon = 5453298.7 gallon

Amount of water in the pool at the end of the day = 45000 + 5453298.7 gallon

                                                                                   = 5457798.7 gallon                                          

5 0
3 years ago
What is the area of a trapezoid that has bases of 1 1/4 feet and 14 inches and a height of 3 inches? 43.5 in. 2 87 in. 2 22.9 in
PolarNik [594]
The area of a trapezoid is the average of the bases times the height, mathematically:

A=h(b1+b2)/2, in this case:

A=3(1.25ft(12in/ft)+14)/2

A=3(29)/2

A=43.5 in^2


4 0
3 years ago
Which table represents a linear function that has a slope of 5 and a y-intercept of 20?
erastovalidia [21]

Answer:

The first image.

x |  y

-4 | 0

0 | 20  <--- When x = 0, the y value is the y-intercept.

4 | 40

8 | 60

Step-by-step explanation:

To check the slope, we can use the equation (y₂ - y₁) ÷ (x₂ - x₁) using any two pairs given. For this example, I'll use (-4, 0) and (4, 40).

                                                              x₂  y₂         x₁   y₁

(0 - 40) ÷ (-4 - 4)

(-40) ÷ (-8)

<u>Slope = 5</u>

<u></u>

~Hope this helps!~

8 0
3 years ago
Read 2 more answers
Bryan created a scale drawing of his rectangular bedroom. His drawing had dimensions of 6 inches by 8 inches. If the scale that
vlabodo [156]

Answer:

56 feet

Step-by-step explanation:

If 1 inch = 2 feet, we can first find the actual dimensions of his room by multiplying the number of inches by 2.

6(2)

= 12

8(2)

= 16

So, the actual dimensions of his room are 12 feet by 16 feet.

To find the perimeter, use the perimeter formula, P = 2l + 2w.

Plug in the length and width:

P = 2l + 2w

P = 2(12) + 2(16)

P = 24 + 32

P = 56

So, the perimeter of his actual room is 56 feet.

6 0
2 years ago
One angle of an isosceles triangle measures 64°. Which other angles could be in that isosceles triangle? Choose all that apply.
konstantin123 [22]

Answer:

64 and 52 or 58 and 58

Step-by-step explanation:

All the angles have to add up to 180 and 2 angles need to match

6 0
3 years ago
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