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Nostrana [21]
3 years ago
8

A study found a relationship between coaching style and points scored in the final two minutes of a basketball game. What is the

independent variable?
Mathematics
1 answer:
harina [27]3 years ago
7 0

Answer:

The final 2 minutes of the basketball game

Step-by-step explanation:

I think

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Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 162 square feet
Gnom [1K]

Answer:

The width and length of rectangle is 12.728 m

Step-by-step explanation:

Let the length of the rectangle = L

let the width of the rectangle = W

The subjective function is given by;

F(p) = 2(L + W)

F = 2L + 2W

Area of the rectangle is given by;

A = LW

LW = 162 ft²

L = 162 / W

Substitute in the value of L into subjective function;

f = 2l + 2w\\\\f = 2(\frac{162}{w} )+2w\\\\f = \frac{324}{w} + 2w\\\\\frac{df}{dw} = \frac{-324}{w^2} +2\\\\

Take the second derivative of the function, to check if it will given a minimum perimeter

\frac{d^2f}{dw^2}= \frac{648}{w^3} \\\\Thus, \frac{d^2f}{dw^2}>0, \ since,\frac{648}{w^3} >0 \ (minimum \ function \ verified)

Determine the critical points of the first derivative;

df/dw = 0

\frac{-324}{w^2} +2 = 0\\\\-324 + 2w^2=0\\\\2w^2 = 324\\\\w^2 = \frac{324}{2} \\\\w^2 = 162\\\\w= \sqrt{162}\\\\w = 12.728 \ m

L = 162 / 12.728

L = 12.728 m

Therefore, the width and length of rectangle is 12.728 m

3 0
3 years ago
During march, a firm expects its total sales to be $151,000, its total variable costs to be $94,100, and its total fixed costs t
soldier1979 [14.2K]

Answer:

$56,900

Step-by-step explanation:

Given that:

Total sales in March = $151,000

Total variable cost = $94,100

The contribution margin for March can be obtained using the relation :

(Total sales - Total variable expenses)

($151,000 - $94,100)

= $56,900

Hence, contribution March for the month of March is $56,900

4 0
3 years ago
Given fx) = 17- x2, what is the average rate of change in f(x) over the interval [1, 5]?
Andrei [34K]

Let [a, b] = the interval

The average rate of change can be found by using [f(b) - f(a)]/(b - a).

Let a = 1 and b = 5.

Let R = rate of change

17- x^2

R = [17 - 5^2] - [17 - 1^2]/(5 - 1)

R = [17 - 25] -[17 - 1]/4

R = [(-8) - (16)]/4

R = (-24)/4

R = -6

Done.

6 0
4 years ago
Read 2 more answers
Solve for a and b<br> (6a-3)=(7b-10)
Free_Kalibri [48]

Answer:

for A=\frac{7b-7}{6} and for B=\frac{6a+7}{7}

Step-by-step explanation:

For A

\left(6a-3\right)=\left(7b-10\right)

6a-3+3=7b-10+3

6a=7b-7

\frac{6a}{6}=\frac{7b}{6}-\frac{7}{6}

a=\frac{7b-7}{6}

For B

\left(6a-3\right)=\left(7b-10\right)

7b-10=\left(6a-3\right)

7b-10=6a-3

7b-10+10=6a-3+10

7b=6a+7

\frac{7b}{7}=\frac{6a}{7}+\frac{7}{7}

b=\frac{6a+7}{7}

3 0
3 years ago
How long will it take a seal swimming ata speed of 8 miles per hour to travel 52 hours
Alexxandr [17]
It will take 52 hours they will go 416 miles
3 0
3 years ago
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