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NARA [144]
3 years ago
9

Garrick's science class recycles old batteries at the TRECA recycling center. The center pays a fixed amount for each ounce of m

aterial. Write a formula to help Garrick determine what their group will receive for their work. Let: t = total they'll receive. n = ounces of material. a = amount the center pays per ounce.
Mathematics
2 answers:
Mars2501 [29]3 years ago
8 0
T = na

because, total equals to ounces of the material times the amount payed.
geniusboy [140]3 years ago
5 0
T = na

because, total equals to ounces of the material times the amount payed.
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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel
timama [110]

Answer:

\displaystyle A=\frac{1}{192}

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

P=4x+3y

We know the total fencing is 1/2 miles long, thus

\displaystyle 4x+3y=\frac{1}{2}

Solving for x

\displaystyle x=\frac{\frac{1}{2}-3y}{4}

The total area of the pasture is

A=x.y

Substituting x

\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y

\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}

Differentiating with respect to y

\displaystyle A'=\frac{\frac{1}{2}-6y}{4}

Equate to 0

\displaystyle \frac{\frac{1}{2}-6y}{4}=0

Solving for y

\displaystyle y=\frac{1}{12}

And also

\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}

Compute the second derivative

\displaystyle A''=-\frac{3}{2}.

Since it's always negative, the point is a maximum

Thus, the maximum area is

\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}

6 0
3 years ago
Solve the problem give the equation using x as the variable and give the answer. If 1 is subtracted from a number and this diffe
V125BC [204]

Answer:

x=6

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

3(x-1)=15+x

3x-3=15+x

2x-3=15

2x=12

x=6

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

6 0
3 years ago
What is 12 and 13 please help
Tanzania [10]
12. 1500 cm² 
13. Monica forgot to multiply by 1/2 
The area of the fabric is 45 in²

Hope this helped!! (:
5 0
3 years ago
A Gardner is planting two types of trees
Nina [5.8K]

It will take 6 years for the trees to have same height.

Step-by-step explanation:

Type A tree;

Initial height = 9 feet

We will convert feet into inches because growth is in inches.

1 feet = 12 inches

9 feet = 12*9 = 108 inches

Growth rate = 6 inches per year

Let,

x be the number of years.

A(x) = 108 + 6x

Type B;

Initial height = 4 feet = 4*12 = 48 inches

Growth rate = 16 inches per year

B(x) = 48 + 16x

The height will be same, when functions are equal

A(x) = B(x)

108+6x=48+16x\\108-48=16x-6x\\60=10x\\10x=60

Dividing both sides by 6

\frac{10x}{10}=\frac{60}{10}\\x=6

It will take 6 years for the trees to have same height.

Keywords: function, division

Learn more about division at:

  • brainly.com/question/3614284
  • brainly.com/question/3799248

#LearnwithBrainly

4 0
3 years ago
When 9/10 is divided by 2/5 , will the quotient be greater than 1 or less than 1.
Feliz [49]
9/10 * 5/2 = 45/20
The quotient will be greater than 1
3 0
3 years ago
Read 2 more answers
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