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PilotLPTM [1.2K]
3 years ago
8

The Flip-Flop-Alot Company makes and sells flip-flops. They have one linear function that represents the cost of producing flip-

flops and another linear function that models how much income they get from those flip-flops. Describe the key features that would determine if these linear functions ever intercepted.
Mathematics
1 answer:
Brums [2.3K]3 years ago
8 0
If we let the number of flip-flops be x in the equation and that the cost would be y ( in terms of x) and the income would be z ( in terms of x), these equations will likely intersect each other during breakeven. That is, when the total revenue that the company will gain from sales of the flip-flops just be equal with the total cost. 
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PLEASE HELP I GIVE THANKS
babunello [35]
1.
Circumference:
 2*π*radius. 
2*3.14*5
31.4
Circumference = 31.4

Surface area:
Substitute the values of the radius <span>(<span><span>r=5</span>),</span></span><span> the </span>height <span>(<span><span>h=9</span>),</span></span><span> and an approximation for </span><span>π(3.14)</span><span> into the </span>formula<span>.
</span><span>SA=2(3.14)(5<span>)^2</span>+2(3.14)(5)(9)

</span>Simplify each term<span>.
</span><span>SA=157+282.6
</span>
Add 157<span> and </span>282.6<span> to get </span><span>439.6.
</span><span>Surface area=439.6cm^2

Volume:
</span>Substitute the values of the radius <span>(<span><span>r=5</span>),</span></span><span> the </span>height <span>(<span><span>h=9</span>),</span></span><span> and an approximation of </span>Pi <span>(<span>3.14)</span></span><span> into the </span>formula<span> to find the </span>volume<span> of the </span>cylinder<span>.
</span><span>V≈3.14⋅<span>5^2</span>⋅9

</span>Raise 5<span> to the </span>power<span> of </span>2<span> to get </span><span>25.
</span><span>V≈+3.14⋅25⋅9

Simplify
Volume = </span>706.5<span>c<span>m^<span>3

2.
</span></span></span>Circumference:
 2*π*radius. 
2*3.14*9
56.52
Circumference=56.52

Surface area:
Substitute the values of the radius <span>(<span><span>r=9</span>),</span></span><span> the </span>height <span>(<span><span>h=24</span>),</span></span><span> and an approximation for </span><span>π(3.14)</span><span> into the </span>formula<span>.
</span><span>SA=2(3.14)(9<span>)^2</span>+2(3.14)(9)(24)

</span>Simplify each term<span>.
</span><span>SA=508.68+1356.48

</span>Add 508.68<span> and </span>1356.48<span> to get </span><span>1865.16.
Surface area = </span>1865.16<span>i<span>n^2

Volume:
</span></span>Substitute the values of the radius <span>(<span><span>r=9</span>),</span></span><span> the </span>height <span>(<span><span>h=24</span>),</span></span><span> and an approximation of </span>Pi <span>(<span>3.14)</span></span><span> into the </span>formula<span> to find the </span>volume<span> of the </span>cylinder<span>.
</span><span>V≈3.14⋅<span>9^2</span>⋅24

</span>Raise 9<span> to the </span>power<span> of </span>2<span> to get </span><span>81.
</span><span>V≈+3.14⋅81⋅24
</span>Multiply 3.14<span> by </span>81<span> to get </span><span>254.34.
</span><span>V≈+254.34⋅24
</span>Multiply 254.34<span> by </span>24<span> to get </span><span>6104.16.

V</span><span>≈+6104.16</span><span>i<span>n^3

3.
</span></span>Circumference:
2*π*radius. 
2*3.14*10
62.8
Circumference=62.8

Surface area:
Substitute the values of the radius <span>(<span><span>r=10</span>),</span></span><span> the </span>height <span>(<span><span>h=15.5</span>),</span></span><span> and an approximation for </span><span>π(3.14)</span><span> into the </span>formula<span>.
</span><span>SA=2(3.14)(10<span>)^2</span>+2(3.14)(10)(15.5)
</span>
Simplify each term<span>.
</span><span>SA=628+973.4
</span>Add 628<span> and </span>973.4<span> to get </span><span>1601.4.
</span><span>SA=1601.4
Surface area=</span>1601.4<span>c<span>m^2

Volume:
</span></span>Substitute the values of the radius <span>(<span><span>r=10</span>),</span></span><span> the </span>height <span>(<span><span>h=15.5</span>),</span></span><span> and an approximation of </span>Pi <span>(<span>3.14)</span></span><span> into the </span>formula<span> to find the </span>volume<span> of the </span>cylinder<span>.
</span><span>V≈3.14⋅<span>10^2</span>⋅15.5

</span>Group coefficients<span> together and </span>exponents<span> together to </span>multiply<span> numbers in </span>scientific notation<span>.
</span><span>V≈+(3.14⋅15.5)(<span>10^2</span>)
</span>Multiply 3.14<span> by </span>15.5<span> to get </span><span>48.67.
</span><span>V≈+48.67⋅<span>10^2
</span></span>Write <span>48.67⋅<span>10^2</span></span><span> in proper </span>scientific notation<span>.
</span>
<span>V≈+4.867⋅<span>10^3</span></span><span>c<span>m^3

4.
</span></span>Circumference:
2*π*radius. 
2*3.14*24
Circumference=150.72

Surface area:
Substitute the values of the radius <span>(<span><span>r=24</span>),</span></span><span> the </span>height <span>(<span><span>h=6</span>),</span></span><span> and an approximation for </span><span>π(3.14)</span><span> into the </span>formula<span>.
</span><span>SA=2(3.14)(24<span>)^2</span>+2(3.14)(24)(6)

</span>Simplify each term<span>.
</span><span>SA=3617.28+904.32
</span>Add 3617.28<span> and </span>904.32<span> to get </span><span>4521.6.
</span><span>SA=4521.6
Surface area=</span>4521.6<span>i<span>n^2

Volume:
</span></span>Substitute the values of the radius <span>(<span><span>r=24</span>),</span></span><span> the </span>height <span>(<span><span>h=6</span>),</span></span><span> and an approximation of </span>Pi <span>(<span>3.14)</span></span><span> into the </span>formula<span> to find the </span>volume<span> of the </span>cylinder<span>.
</span><span>V≈3.14⋅<span>24^2</span>⋅6

</span>Raise 24<span> to the </span>power<span> of </span>2<span> to get </span><span>576.
</span><span>V≈+3.14⋅576⋅6
</span>Multiply 3.14<span> by </span>576<span> to get </span><span>1808.64.
</span><span>V≈+1808.64⋅6
</span>Multiply 1808.64<span> by </span>6<span> to get </span><span>10851.84.
</span>
<span>V≈+10851.84</span><span>i<span>n^3

To solve the second part to the problem just find the two items in your home and solve for the circumference, surface area, and volume. You can look back at my steps for formulas if you need help.</span></span>
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Step-by-step explanation:

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3 years ago
Common factor of -10x^3 - 64x^2 - 22x + 240
Nadya [2.5K]

Answer:-2

Step-by-step explanation:

-10x^3-64x^2-22x+240

-2(5x^3+32x^2+11x-120)

-2 is there common factor

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3 years ago
Find a9 in the arithmetic sequence with a1=-2.75 and d=0.25
AleksAgata [21]
A9=A1+(n-1)
-2.75+(8*0.25)
-2.75+2=-0.75
3 0
3 years ago
I think #1 is wrong but i can't figure it out​
goldenfox [79]

Answer:

the mistake is x and y x is 6 and y is 4 so it would be 5x6 and 4^2 divide by 2

Step-by-step explanation:

the right one is 5x-y^2 divide 2

                           5x6-4^2 divide 2

                            5x6-16 divide 2

                             30-8

                                 22

5 0
4 years ago
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