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SIZIF [17.4K]
3 years ago
8

The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm cubed of water.Find the percent of the c

up that is filled with water after 3 seconds.
Mathematics
1 answer:
Helen [10]3 years ago
6 0

Answer:

In 3 seconds the cup is filled with 105\ cm^3<u>.</u>

Step-by-step explanation:

Given:

2 seconds = 70\ cm^3 water

We need to find the percent of the cup that is filled with water after 3 seconds.

Solution:

Now Given:

The cup was filled at a constant rate.

First we will find the volume of water filled in the cup after 1 seconds.

2 seconds = 70\ cm^3 water

1 seconds = Volume of water filled in 1 second.

By Using Unitary method we get;

Volume of water filled in 1 second = \frac{70}{2}= 35\ cm^3

Now we will find the volume of water filled in the cup after 3 seconds.

1 second = 35\ cm^3 of water is filled

3 seconds = volume of water filled in the cup after 3 seconds

Again by using Unitary method we get;

volume of water filled in the cup after 3 seconds = 35 \times 3 = 105\ cm^3

Hence In 3 seconds the cup is filled with 105\ cm^3.

To find the percent of the cup filled with water after 3 seconds we would required the dimensions of the cup which is not available in the question.

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Matthew made slightly larger blanket that was 8 Ft long. Its area is 64 sq ft what is its perimeter?
Andreas93 [3]

Answer:

32 ft

Step-by-step explanation:

Given data

Length= 8ft

Area= 64 f^2

Let us find the width

Area= Length*Width

64= 8* Width

Width= 64/8

Width= 8ft

Hence the perimeter= 2L+2W

P= 2*8+2*8

P= 16+16

P= 32 ft

5 0
3 years ago
What is the midpoint of the line segment with endpoints (–1, 7) and (3, –3)?
Kipish [7]
The coordinates consist of x coordinate and y coordinate
(x₁,y₁) = (-1,7)
(x₂,y₂) = (3,-3)

To find the midpoint of x coordinate, use this following formula
x midpoint = (x₁ + x₂)/2
x midpoint = (-1 + 3) / 2
x midpoint = 2/2
x midpoint = 1

To find the midpoint of y coordinate, use this following formula
y midpoint = (y₁ + y₂)/2
y midpoint = (7 + (-3))/2
y midpoint = (7 - 3)/2
y midpoint = 4/2
y midpoint = 2

ANSWER
The midpoint is (1,2)
6 0
3 years ago
After grabbing some food from the cafeteria, Ray trips causing his food to go up in the air before hitting the ground. The parab
Dahasolnce [82]

The maximum height of the tray is 1.8 meters and the tray is in the air for 2 seconds

<h3>The maximum height of the tray</h3>

The distorted information (i.e. the function) in the question is:

h(t) = -0.2t^2 + 0.4t + 1.6

Differentiate the function

h'(t) = -0.4t + 0.4

Set to 0

-0.4t + 0.4 = 0

Subtract 0.4 from both sides

-0.4t = -0.4

Divide by -0.4

t = 1

Substitute t = 1 in h(t) = -0.2t^2 + 0.4t + 1.6

h(1) = -0.2(1)^2 + 0.4(1) + 1.6

Evaluate

h(1) = 1.8

Hence, the maximum height of the tray is 1.8 meters

<h3>Time spent in the air</h3>

In (a), we have:

t = 1

This represents the time to reach the maximum height.

The time spent in the air is:

T = 2t

This gives

T = 2 * 1

T = 2

Hence, the tray is in the air for 2 seconds

Read more about quadratic functions at:

brainly.com/question/11535666

#SPJ1

7 0
2 years ago
Three hundred eighty-five defective alcohol swabs were produced in a day. If 4% of the alcohol swabs produced were defective, ho
dusya [7]

Answer:

9625

Step-by-step explanation:

If 385 alcohol swabs were defective, then 385 is 4% of all produced alcohol swabs.

385*25 = 9625

9625 alcohol swabs were produced

6 0
2 years ago
Mike wants to make meatloaf. His recipe uses a total of 5pounds of meat
Vikki [24]

Answer:

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Step-by-step explanation:

3 0
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