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Romashka-Z-Leto [24]
3 years ago
5

3. ms. Johnson placed two different orders with TR's special item store. each order was for 40 jars with the circus logo imprint

ed on each jar. store employees Jorge and SAM packed the jars into different boxes. Jorge packed the first 40 jars snugly into a rectangular box in rows of 4 jars each.the jars were not stacked on top of each other because in bot cases the jars were the same height as the boxes.the jars have a height of 6 inches and a diameter of 3 inches.
(a) What are the dimensions of each box in inches? show your work.
(b)Jorge and SAM bought packing foam to fill in the space between the jars and the box so that the jars will not move around. the packing foam comes in packets of 200 in^3. how many packets did each boy buy and how much packing foam did each boy need? use 3.14 for pi. round to the nearest hundredth if necessary explain your reasoning
Mathematics
1 answer:
rodikova [14]3 years ago
8 0
1.The height is 6 inches ad the width (diameter) is 3 inches!
2. So the jars are Volume ≈  42.41 inches so each boy needs 200 / 42.41 which equals approximately 4.72 inches per jar. So if wach boys have half the amount of jars which is 20 you multiply 20 by 4.72 which is 94.4 inches for each boy!
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Find the slope of the line through the pair of points. A(2, –3), P(2, 9)
Flauer [41]
The slope: m=\dfrac{y_2-y_1}{x_2-x_1}

A(2;-3)\to x_1=2;\ y_1=-3\\P(2;\ 9)\to x_2=2;\ y_2=9\\\\subtitute:\\\\m=\dfrac{9-(-3)}{2-2}=\dfrac{12}{0}!!!

<span>The denominator can not be <span>zero!

Conclusion: The slope is undenfined.
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6 0
3 years ago
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Find the mean of the first 7 odd prime number?​
bekas [8.4K]

Answer: 75/7 or 10.71 (rounded)

Step-by-step explanation:

Mean = Average

To find the average you should add all the numbers together and then divide it by the amount of numbers.

In this question, the formula is \frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}

----------------------------------------------------------------------------------------

The list of the first 7 odd prime numbers:

3, 5, 7, 11, 13, 17, 19

Now, add them together

3+5+7+11+13+17+19=75

Divide the sum by 7

75÷7=75/7=10.71 (rounded)

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
zmey [24]

Answer:

D and C

Step-by-step explanation:

1) You can cross check using desmos.

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8 0
3 years ago
Given f(x) = x² - 10x + 22, what is the range of f?
adoni [48]

Answer:

[-3, ∞)

Step-by-step explanation:

There are many ways to find the range but I will use the method I find the easiest.

First, find the derivative of the function.

f(x) = x² - 10x + 22

f'(x) = 2x - 10

Once you find the derivative, set the derivative equal to 0.

2x - 10 = 0

Solve for x.

2x = 10

x = 5

Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.

f(x) = x² - 10x + 22

f(5) = 5² - 10(5) + 22

      = 25 - 50 +22

      = -3

Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.

This means the range is : [-3, ∞)

Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).

Hope this helped!

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3 years ago
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solniwko [45]

Answer:

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Step-by-step explanation:

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(8sqrt(3))^2 + b^2 = 16^2

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which reduces to

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This is the ratio of the lengths of the sides of a 30-60-90 triangle.

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