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lora16 [44]
3 years ago
8

Which of the following a, b, and c values would you use in the Quadratic formula to solve:

Mathematics
1 answer:
aliina [53]3 years ago
4 0
The answer would be B
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{6 3/6 + 10 4/6) + 9 2/6
n200080 [17]

Answer:

26.5

Step-by-step explanation:

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3 years ago
A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs
LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

h=\frac{400}{\pi r^2}

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: h=\frac{400}{\pi r^2}

Therefore:

C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})

C(r)=0.12\pi r^2+\frac{24}{r}

C(r)=\frac{0.12\pi r^3+24}{r}

The minimum cost occurs when the derivative of the Cost =0.

C^{'}(r)=\frac{6\pi r^3-600}{25r^2}

6\pi r^3-600=0

6\pi r^3=600

\pi r^3=100

r^3=\frac{100}{\pi}

r^3=31.83

r=3.17 cm

Recall that:

h=\frac{400}{\pi r^2}

h=\frac{400}{\pi *3.17^2}

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

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3 years ago
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using
valina [46]

Answer:

15

Step-by-step explanation:

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2 years ago
Describe fully the single transformation that maps triangle A onto triangle B
Anvisha [2.4K]

Answer:

180 degree clockwise rotation about center and a dilation of 0.5.

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2 years ago
Converting from vertex to standard form
stich3 [128]

Answer:

Step-by-step explanation:

y = (x+1)² - 3

 = (x²+2x+1)-3

 = x²+2x-2

:::::

y = (x-2)² + 3

 = (x²-4x+4) + 3

 = x²-4x+7

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2 years ago
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