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defon
3 years ago
14

Write a function rule for: The total cost of grapes if each pound costs $1.20

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0
F (x) = 1.2 * x, where x is the number of pounds of grapes
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A park bench is located 16 3/4 feet due north of an elm tree a fountain is located 9 1/2 feet due south of the same elm tree
alekssr [168]

Answer:

A) 26 1/4

Step-by-step explanation:

take 16 and 9 add them u get 25 then u take the fractions turn the 1/2 into 2/4 and add them you then get 1 1/4

6 0
3 years ago
Read 2 more answers
Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 181.5 square cen
3241004551 [841]

Answer:

The base and height of the solid is 5.5cm

<em></em>

Step-by-step explanation:

Given

Surface\ Area = 181.5cm^2

Required

Determine the dimensions that maximizes the volume

Let the base dimension be x and the height be h

The volume is calculated as:

Volume =x^2 * h

Volume =x^2h

181.5 =x^2h

The surface area (S) is calculated as this:

S = 2(x^2 + xh + xh)

S = 2(x^2 + 2xh)

S = 2x^2 + 4xh

Substitute 181.5 for S

181.5 = 2x^2 + 4xh

Make h the subject:

4xh = 181.5 - 2x^2

h = \frac{181.5 - 2x^2}{4x}

Substitute h = \frac{181.5 - 2x^2}{4x} in Volume =x^2h

V = x^2(\frac{181.5 - 2x^2}{4x})

V = x(\frac{181.5 - 2x^2}{4})

V = \frac{1}{4}(x)(181.5 - 2x^2)

V = \frac{181.5x}{4} - \frac{2x^3}{4}

V = \frac{181.5x}{4} - \frac{x^3}{2}

To get the maximum, we differentiate V with respect to t and set the differentiation to 0

dV = \frac{181.5}{4} - \frac{3x^2}{2}

Set to 0

0 = \frac{181.5}{4} - \frac{3x^2}{2}

\frac{3x^2}{2} = \frac{181.5}{4}

Multiply through by 4

4 * \frac{3x^2}{2} = \frac{181.5}{4} * 4

2*3x^2 = 181.5

6x^2 = 181.5

x^2 = \frac{181.5}{6}

x^2 = 30.25

x = \sqrt{30.25

x = 5.5

Recall that:

h = \frac{181.5 - 2x^2}{4x}

h = \frac{181.5 - 2 * 5.5^2}{4 * 5.5}

h = \frac{181.5 - 60.5}{22}

h = \frac{121}{22}

h = 5.5

So, we have:

h = 5.5

x = 5.5

<em>Hence, the base and height of the solid is 5.5cm</em>

7 0
3 years ago
Please help me ! :)
blagie [28]

Answer:

B. (6, 5)

Step-by-step explanation:

On the 4th row of the table, we see 6 in the x column and 5 in the y column. This makes the point (6, 5).

No other answer choices match up to the points in the table.

I hope this helps :))

5 0
3 years ago
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suppose you have 72 feet of fencing to enclose a rectangular dog run. You want the length to be 8 feet longer than the width. Wh
Alexandra [31]
I think it would be 28 feet
7 0
4 years ago
PLEASE HELP 2. Give an example of a cubic binomial polynomial
salantis [7]
Answer: x^3+4 , x^2y+x^2+y

4 0
3 years ago
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