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Ivahew [28]
2 years ago
11

If a factory produces 1,672 steering wheels during an 11 hour shift , what is the production rate of steering wheels per hour? [

PLS ANSWER!]
Mathematics
1 answer:
d1i1m1o1n [39]2 years ago
3 0
152 per hour. Just take the 1672 and divide it by 11 to get your rate of change
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An open box with a square base is to be made from a square piece of cardboard 24 inches on a side by cutting out a square from e
laila [671]

Answer:

x=4 Inch

Step-by-step explanation:

Length of the Square = 24 Inches

If a Square of Length x cm is cut out from each corner

Length of the Box = 24-x-x=(24-2x) Inches

Width of the Box =24-x-x=(24-2x) Inches

Height of the box = x inches

Volume of a Cuboid = Length X Width X Height

V(x)= x(24-2x)(24-2x)

Simplifying

V(x)=4x(12-x)(12-x)

To determine the value of x at which V is largest, we take the derivative of V(x) and solve for the critical points.

V(x)=4x(12-x)(12-x)

V^{'}(x)=12(x-12)(x-4)

Set the derivative equal to zero to obtain the critical points

V^{'}(x)=12(x-12)(x-4)=0\\Since \: 12\neq 0\\(x-12)(x-4)=0\\x-12=0 \:or\: x-4=0\\x=12 \:or\: x=4

x cannot be equal to 12 as it divides the length of the square cardboard into exactly two equal parts.

When x=4

V(4)=4*4(12-4)(12-4)=16*8*8=1024 Cubic Inches

When x=4 Inch, the volume, V of the open box is largest.

3 0
3 years ago
What is the value of x?<br><br> Enter your answer in the box.<br><br> x =
Nikitich [7]

You are given that all three sides are equal. You also know that all three angles are also equal. Therefore since all three angles are equal and every triangle has 180 degrees, each angle is 180/3 = 60

So

7x - 3 = 60                     Add three to both sides

7x - 3 + 3 = 60 + 3        Combine

7x = 63                          Divide by 7

7x/7 = 63/7

x = 9                              And that's your answer.

3 0
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What is the mean absolute deviation of the data set 12, 9, 5, 12, 8, 3, 3,12
Liono4ka [1.6K]
The correct answer is 3.25
8 0
3 years ago
Select the correct answer.<br> Which graph shows a function and its inverse?
Anit [1.1K]

Answer:

first graph shows the function and it's inverse

8 0
3 years ago
Tyler has a bag of shapes with 8 octagons, 24 trapezoids, 5 pentagons, 14 hexagons what is the probability he will pick a shape
lana [24]
More than 5 sides have octagons and hexagons
so 
8+14=22
altogether  8+14+24+5 =22+29=51
P=22/51
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