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9966 [12]
2 years ago
12

A number cube labeled with number 1,2,3,4,5, and 6 is tossed. What are the odds in favor of the cube showing an odd number

Mathematics
1 answer:
Sliva [168]2 years ago
4 0
1/2

3 odd 6 in total

3/6 = 1/2

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These are the cost and revenue functions for a line of trumpets sold at a music store:
Maslowich

Answer:

168 trumpets for $1702

Step-by-step explanation:

Profit is the measure to be maximized.  We are given revenue and cost relationships as a function of units, x (trumpets).  Profit is the difference:

Profit = Revenue[R(x)] - Cost[C(x)]

Profit = (76x – 0.25x^2) - (-7.75x + 5,312.5)

Profit = 76x - 0.25x^2 + 7.75x - 5,312.5

Profit = 76x - 0.25x^2 + 7.75x - 5,312.5

Profit = - 0.25x^2 + 83.75x - 5312.5

At this point we can find the trumpets needed for maximum profit by either of two approaches:  algebraic and graphing.  I'll do both.

<u>Mathematically</u>

The first derivative will give us the slope of this function for any value of x.  The maximum will have a slope of zero (the curve changes direction at that point).  Take the first derivative and set that equal to 0 and solve for x.

First derivative:

d(Profit)/dx = - 2(0.25x) + 83.75

d(Profit)/dx = - 0.50x + 83.75

0 = - 0.50x + 83.75

0.50x = 83.75

x = 167.5 trumpets

<u>Graphically</u>

Plot the profit function and look for the maximum.  The graph is attached.  The maximum is 167.5 trumpets.

Round up or down to get a whole trumpet.  I'll go up:  168 trumpets.

<u>Maximum Profit</u>

Solve the profit equation for 168 trumpets:

Profit = - 0.25x^2 + 83.75x - 5312.5

Profit = - 0.25(168)^2 + 83.75(168) - 5312.5

<u>Profit = $1702</u>

4 0
2 years ago
Ty is right inches taller than his brother Reece if ty is 42 inches tall how tall is Reece. Write an equation using a variable r
fgiga [73]
Mi llamos Bryson y tu ¿
4 0
3 years ago
!!!!!!!!!!!!!!!!!!!!!
Kay [80]

Answer:

In word form it would be 2 to the 6th power.

Step-by-step explanation:

We know this because exponent equals to 2*2*2*2*2*2 or also known as 2 to the 6th power.

7 0
3 years ago
There are 18 bulls and 45 cows on a ranch. If 4 more bulls and 4 more cows were added, will the ratio of bulls to cows remain th
Elanso [62]
Here is how to solve this:

18 +4 = 22 bulls

45 + 4 = 50 cows

The original ratio was, 18:45 but now its 22:50 so, no the ratio will not be the same.
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2 years ago
If i graduated high school in 1990 what year was it when i was in 4th grade
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The school year would be 1981-1982
8 0
3 years ago
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