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2 years ago

Calculate sales tax using the following information:

Mathematics

1 answer:

svetlana [45]2 years ago

8 0

Answer:

8.13

Step-by-step explanation:

125 x .065 = 8.13

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An engineer is designing a storage compartment in a spacecraft .The compartment must be 2 meters longer than it is wide, and its

serg [7]

Answer:

Let x be the width of the compartment,

Then according to the question,

The length of the compartment = x + 2

And the depth of the compartment = x -1

Thus, the volume of the compartment, $V = (x+2)x(x-1) = x^3 + x^2 - 2x$

But, the volume of the compartment must be 8 cubic meters.

⇒ $x^3 + x^2 - 2x = 8$

⇒ $x^3 + x^2 - 2x - 8=0$

⇒ $(x-2)(x^2+3x+4)=0$

If $x-2=0\implies x = 2$ and if $x^2+3x+4=0\implies x = \text{complex number}$

But, width can not be the complex number.

Therefore, width of the compartment = 2 meter.

Length of the compartment = 2 + 2 = 4 meter.

And, Depth of the compartment = 2 - 1 = 1 meter.

Since, the function that shows the volume of the compartment is,

$V(x) = x^3 + x^2 - 2x$

When we lot the graph of that function we found,

V(x) is maximum for infinite.

But width can not infinite,

Therefore, the maximum value of V(x) will be 8.

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3 years ago

Read 2 more answers

Drag the tiles to the correct boxes to complete the pairs.

damaskus [11]

I52 ghijbcff. j hui. vi

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2 years ago

How can knowing the GCF and LCM help you when you add, subtract, and multiply fractions?

Stells [14]

When you add fractions, the denominators must be the same, so you may have to generate equivalent fractions by using the lowest common multiple of all the denominators. For subtraction of fractions, you use the same method. When multiplying fractions, you can only multiply the numerators together, and the denominators together.

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2 years ago

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A) x= all real #s B) x>0 C) x=5 D) x=12

sashaice [31]

Answer:

Set of all real numbers

Step-by-step explanation:

When we talk of domain, we mean the possible values of x that the equation can take without being undefined

So x-values that makes the equation defined are the domain of the graph

From the diagram, we can see that the graph extends from negative infinity to positive infinity

What this mean is that the possible values here come from the top right and extends to the left

So this means that the range of possible values are the set of all real numbers

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2 years ago

type of advance medical directive does the AMA recommend? a) Euthanasia b) Living will c) Durable power of attorney O d) Undue-b

Marizza181 [45]

Answer:

A durable power of attorney. A Power of Attorney is a legal document that appoints an “Agent” to represent you and handle specific issues for you. Depending upon the terms of the Power of Attorney, your Agent could be authorized to make financial and health care decisions on your behalf. Hope this helps.

Step-by-step explanation:

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2 years ago