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Verdich [7]
2 years ago
10

Draw a rectangular prism with length 8 feet, width 5 feet, and height 3 1/2 feet. Imagine this rectangular prism is full of wate

r. Now draw a second rectangular prism with length 26 feet, width 10 feet, and height 4 feet. If you poured all the water from the first rectangular prism into the second, how high would the water be?
Mathematics
1 answer:
Alexandra [31]2 years ago
7 0

Answer:

the water will be 0.538 feet high

Step-by-step explanation:

Once the rectangles have been sketched out, with their correct dimensions, we will notice that the quantity of water that will fill the first rectangular prism simply equals to its volume.

The volume of the rectangular prism can be obtained by using the formula:

length X breadth X height.

First Prism:

Volume of the first prism =  8 X 5 X 3.5 = 140 square feet.

Second Prism

The same volume of water was poured into the second prism which had a different dimension from the first. To calculate the new height, we will use the fact that the volume = base area X height.

hence height = volume / base area

height of water = 140 / (26 X 10 ) = 0.538 feet

Therefore, the water will be 0.538 feet high

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Anon25 [30]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
For any integer x,x2-x will always produce an even value
Levart [38]

Consider expression x^2-x. First, you can factor it:

x^2-x=x(x-1).

Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).

Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.

Thus, x^2-x is always even.

8 0
3 years ago
Jason states that -5.0 is not an integer because it is a decimal. Is he correct? Why or why not?
gulaghasi [49]

Answer:

The answer is No, he's incorrect

Step-by-step explanation:

Because -5.0 is still -5 so therefore it makes -5.0 an integer

5 0
2 years ago
Consider the statistical study below and then
bagirrra123 [75]

Answer:

a) The population is all people who exercise regularly; population parameters are test scores for all​, categorized by whether or not each individual was given a suggestion.

b) The sample is the 98  studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c) Experiment

Step-by-step explanation:

Rewriting for the sake of clarity

<em>98 people who exercise regularly were given cognitive tests.  It was discovered that those participants who were given a suggestion, their exercise habits might affect their performance on the test actually did worse on the test.</em>

a. identify the population and the population parameter of​ interest,

In Statistics, Population is a Set under scrutiny.

The Parameter of a Population is any descriptive measure that helps to draw the Distribution curve. So in this case, it is fair to say that:

The population is all people who exercise regularly; population parameters are test scores for all​, categorized by whether or not each individual was given a suggestion.

b. describe the sample and sample statistic for the​ study,

The sample is any subset within the Population.

The sample statistic might be any to measure in this case, the suggestion and see if there is any correlation between them and the results in what extent, etc. to deeper analyze it.

Then:

The sample is the 98 studied; the sample statistic is the test scores for the 98 studied, categorized by whether or not each individual was given a suggestion.

c. identify the type of study.

The statistical study here is an experiment since the 98 people were undergone to cognitive tests then their results were scrutinized.

6 0
3 years ago
Irri is traveling in a group of 888 cat warriors. Each cat needs 444 liters of milk per day to maintain good morale. Mirri has a
tatiyna

Answer:

3.25 days

Step-by-step explanation:

Irri is traveling in a group of 8 cat warriors. Each cat needs 4 liters of milk per day to maintain good morale.

The total number of liters for the cat is calculated as:

8 × 4 liters of milk

= 32 liters of milk.

Another cat has enough milk to last for 2days.

= 4 liters of milk × 2 days

= 8 liters

Mirri has a supply of 96 liters of milk.

Total liters of milk = 96 liters + 8 liters

= 104 liters

Which equation can we use to find the total number of days the milk will last?

This is calculated as:

= 104 liters/32 liters

= 3.25 days

7 0
3 years ago
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