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4 years ago

A company produces 3 tons of cereal each week. How many 12-ounce cereal boxes can be filled each week?

2 answers:

8 0

First, convert 3 tons to ounces.
3 tons = 96,000 ounces. Divide this by 12 ounces.
96,000/12 = 8000
So, 8000 boxes can be filled each week!
Hope this helps!!

Mrrafil [7]4 years ago

8 0

3 ton= 96000 ounces/12 ounces= 8000 (Is the answer!)
Have a nice day!

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Step-by-step explanation:

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3 years ago

Identify the cross section of the solid shown in the diagram

Ivahew [28]

Given:

Image of the pyramid

To identify:

The cross section of the solid.

Solution:

The given image is a pyramid.

The base of the pyramid have 5 edges.

So, it is a pentagonal pyramid.

In the cross section also have 5 edges.

Therefore the cross section of the solid shown in the diagram is pentagon.

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3 years ago

The coordinates of a point on a coordinate grid are (−2, 6). The point is reflected across the x-axis to obtain a new point. The

Juliette [100K]

The reflected coordinate will be (-2,-6)

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3 years ago

Read 2 more answers

Analyze the key features of the graph f(x) = 1/x+3 -2

tia_tia [17]

<h2>Explanation:</h2><h2></h2>

Here we have the following rational function:

$f(x) = \frac{1}{x+3} -2$

So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:

$g(x)=\frac{1}{x}$

Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:

Step 1. Shift the graph 3 units to the left:

$f_{1}(x) = \frac{1}{x+3}$

Step 2. Shift the graph 2 units down:

$f(x) = \frac{1}{x+3}-2$

Finally, the features of the graph of f are:

The graph of this function comes from the parent function g and the transformations are:

A shifting 3 units to the left

A shifting 2 units down

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3 years ago

What are the last three terms of the binomial expansion 32x³ + 80x'y + 80x³y² +

Gnesinka [82]

The last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

<h3>Binomial expansion</h3>

From the question, we are to determine the last three terms of the binomial expansion 32x⁵ + 80x⁴y + 80x³y² + __ + __ + __

The highest power of the expansion is 5

Using the binomial expansion theorem

(m +n)⁵ = m⁵ + 5m⁴n + 10m³n² + 10m²n³ + 5mn⁴ + n⁵

Now, we will determine the values of m and n by comparison

By comparison,

m⁵ = 32x⁵

m⁵ = (2x)⁵

∴ m = 2x

Also,

5m⁴n = 80x⁴y

Divide both sides by 5, to get

m⁴n = 16x⁴y

Put m = 2x into the equation

(2x)⁴n = 16x⁴y

16x⁴n = 16x⁴y

∴ n = y

Thus, the expression being expanded is (2x + y)⁵

By binomial expansion, the expansion of (2x + y)⁵ is

(2x + y)⁵ = (2x)⁵ + 5(2x)⁴y + 10(2x)³(y)² + 10(2x)²(y)³ + 5(2x)(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + (5×16)x⁴y + (10×8)x³(y)² + (10×4)x²(y)³ + (5×2)x(y)⁴ + y⁵

(2x + y)⁵ = 32x⁵ + 80x⁴y + 80x³y² + 40x²y³ + 10xy⁴ + y⁵

Hence, the last three terms of the given binomial expansion are 40x²y³ + 10xy⁴ + y⁵

Learn more on Binomial expansion here: brainly.com/question/13602562

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8 0

2 years ago