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Elan Coil [88]
4 years ago
11

Rajek, a truck driver, hauls containers for his customers. One customer wants to know the total amount of cardboard that can fit

in a container at one time.
The truck Rajek uses is shown below.


The base of the container has an area of square feet. The amount of cardboard Rajek can fit in the container at one time is _____ cubic feet.

Mathematics
1 answer:
Ganezh [65]4 years ago
7 0

The amount of cardboard Rajek can fit in the container at one time  is 4.5ft^3 .

<u>Step-by-step explanation:</u>

Here we have , Rajek, a truck driver, hauls containers for his customers. One customer wants to know the total amount of cardboard that can fit in a container at one time.  The base of the container has an area of square feet.  We need to find The amount of cardboard Rajek can fit in the container at one time . Let's find out:

Volume of container = length(breadth)(width)

⇒ Volume = length(breadth)(width)

But According to question , Area = Length(breadth) = 1ft^2 , So

⇒ Volume = length(breadth)(width)

⇒ Volume = area(width)

⇒ Volume = 1(4\frac{1}{2})

⇒ Volume = 4.5ft^3

Therefore , The amount of cardboard Rajek can fit in the container at one time  is 4.5ft^3 .

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For this case we have the following functions:

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(f + g) (x)

By definition we have to:

(f + g) (x) = f (x) + g (x)\\(f + g) (x) = 2x + 1 + x ^ 2-7\\(f + g) (x) = x ^ 2 + 2x-6

So, we have to:

(f + g) (x) = x ^ 2 + 2x-6

Answer:

(f + g) (x) = x ^ 2 + 2x-6

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Answer: A

Step-by-step explanation

2.167x10^4 = 21,670

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3 years ago
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Step-by-step explanation:

We need to write the expression for "The quantity 81 minus 5k, squared".

Square of any number x is given by x².

Square of 5k is given by : (5k)²= 5²×k²=25k²

Now subtract 25k² from 81.

It means we get : 81-25k². It is required expression.

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Answer:

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Step-by-step explanation:

We are given an algebraic equation in which we need to solve for x.

We can use several properties and algebraic methods to solve this equation.

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Firstly, we want to use the distributive property to evaluate the first term in the equation: -6(x - 3).

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By distributing the -6 through, we get -6x and positive 18. Then, we need to begin combining like terms. Let's start with our constants (or the terms without a variable).

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Then, we can combine our terms with variables.

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Now, we can use the subtraction property of equality which states that if we subtract a term from one side of an equation, we must also subtract it from the opposite side. Therefore, we want to get x by itself, so we can subtract 21 from both sides using the subtraction property of equality to do this.

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Therefore, by solving the multi-step equation, we solved that x = 6.

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