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3 years ago

The capacity of a small children's swimming pool is 105 gallons of water. There

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

6 0

Answer:

11.25 minutes

Step-by-step explanation:

The capacity of the swimming pool is 105 gallons of water.

There are currently 15 gallons of water

∴I need to fill (105-15) = 90 gallons of water

Now,

8 gallons of water are filled within 1 minute

∴1 gallon of water will be filled within = 1/8 minute

∴90 gallons of water will be filled within = 90/8 minutes

=11.25 minutes

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Evaluate the geometric series. Round to the nearest hundredth. Please help me!!!

kari74 [83]

Answer:

62.34

Step-by-step explanation:

Substitute n = 0 to n = 5 into the expression and sum the terms, that is

3 [ $(\frac{3}{2}) ^{0}$ + $(\frac{3}{2}) ^{1}$ + $(\frac{3}{2}) ^{2}$ + $(\frac{3}{2}) ^{3}$ + $(\frac{3}{2}) ^{4}$ + $(\frac{3}{2}) ^{5}$ ]

= 3 [ 1 + $\frac{3}{2}$ + $\frac{9}{4}$ + $\frac{27}{8}$ + $\frac{81}{16}$ + $\frac{243}{32}$ ]

= 3( $\frac{665}{32}$ )

= 3 × 20.781

= 62.34 ( to the nearest hundredth )

5 0

3 years ago

The line is given by equation y–1.5x = c. What is the value of c if the line passes through the point K (2, –3).

aleksandr82 [10.1K]

Answer:

c = -6

Step-by-step explanation:

To find the value of c to make the line pass through the point K = (2, -3), we just need to use the values of x = 2 and y = -3 in the equation, then we find the value of c.

So, we have that:

y - 1.5*x = c

(-3) - 1.5 * (2) = c

-3 - 3 = c

c = -6

So the value of c is -6

To check if the value is correct, we can use the value x = 2 and see if the value of y is -3:

y - 1.5*x = -6

y - 1.5*2 = -6

y - 3 = -6

y = -6 + 3 = -3

So it's correct.

7 0

3 years ago

Read 2 more answers

Which is the volume formula for a rectangular prism with a base of 26 square feet and a height of 10 feet

AleksAgata [21]

Answer:

Step-by-step explanation:

Given the length, width and height find the volume, surface area and diagonal of a rectangular prism

h, l and w are known; find V, S and d

V = lwh

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

2. Given the surface area, length and width find the height, volume and diagonal of a rectangular prism

S, l and w are known; find h, V and d

h = (S - 2lw) / (2l + 2w)

V = lwh

d = √(l2 + w2 + h2)

3. Given the volume, length and width find the height, surface area, and diagonal of a rectangular prism

V, l and w are known; find h, S and d

h = V / lw

S = 2(lw + lh + wh)

d = √(l2 + w2 + h2)

4. Given the diagonal, length and width find the height, volume and surface area of a rectangular prism

d, l and w are known; find h, V and S

h = √(d2 - l2 - w2)

V = lwh

S = 2(lw + lh + wh)

4 0

3 years ago

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How many decameters are there in 14 meters

kramer

In 1 meter is 10 decameters. In 14 meters=140 decameters

7 0

3 years ago

A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, t

Ivanshal [37]

S(t) = 3.82 - 0.2t

Step-by-step explanation:

After 7 weeks, the ice is 2.42 meters thick. The ice loses 0.2 meters of thickness per week; this means on the 7th week, it has lost 7(0.2) = 1.4 meters of thickness.

This means the ice started at 2.42+1.4 = 3.82 meters thick.

Our function will start at the original thickness of the ice, 3.82 meters.

Since the ice is losing thickness, we will subtract; it loses at a rate of 0.2 meters per week (t), which gives us 0.2t. This is subtracted from the original, 3.82 meters, giving us

S(t) = 3.82 - 0.2t

7 0

3 years ago

Read 2 more answers