16. What is the volume of the rectangular prism?*
1 point
5 in.
s in
3.4 in.

Answer:

a.) Marginal Product (MP) = 120

b.) Average Product = 126

c.) At x = 12, the output is maximum.

d.) After 5 levels of inputs diminishing returns set in.

Step-by-step explanation:

Given that,

Q = 72x + 15x² - x³

a.)

Marginal Product is equal to

[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]

At x = 8

MP = 72 + 30(8) - 3(8)²

     = 72 + 240 - 192

     = 120

∴ we get

Marginal Product (MP) = 120

b.)

Average Product is equals to

= [tex]\frac{Q}{x}[/tex]

= 72 + 15x - x²

At x = 6

Average Product = 72 + 15(6) - 6²

                             = 72 + 90 - 36

                             = 126

∴ we get

Average Product = 126

c.)

For Maximizing Q,

Put [tex]\frac{dQ}{dx} = 0[/tex]

⇒72 + 30x - 3x² = 0

⇒24 + 10x - x² = 0

⇒x² - 10x - 24 = 0

⇒x² - 12x + 2x - 24 = 0

⇒x(x - 12) + 2(x - 12) = 0

⇒(x + 2)(x - 12) = 0

⇒x = -2, 12

As items can not be negative

∴ we get

At x = 12, the output is maximum.

d.)

Now,

For Diminishing Return

[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]

⇒30 - 6x < 0

⇒-6x < -30

⇒6x > 30

⇒x > 5

∴ we get

For x > 5, the diminishing returns set in

i.e.

After 5 levels of inputs diminishing returns set in.

Answer:

I think the answer could be C

Step-by-step explanation:

Sorry if im wrong

Answer:

1st option

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use (3, 8 ) , that is x = 3 when y = 8 , then

8 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )

24 = k

y = [tex]\frac{24}{x}[/tex] ← equation of variation

Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.

OR u can use , z-tests are used when we have large sample sizes (n > 30), whereas t-tests are most helpful with a smaller sample size (n < 30). Both methods assume a normal distribution of the data, but the z-tests are most useful when the standard deviation is known.

Answer:

16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

its 14

Step-by-step explanation:

because each cookie is 10 and the 2 bananas are 2 so one banana is 1 and then the other thing whatever it is is 3 each so 10*1=10+1+3=14

hopefully this helps!

Answer:

C.

2z2; –5

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping.

( z + 6 ) ( 2 z 2 − 5 )

Answer:

2z^2; –5

Step-by-step explanation:

2z3 = 2 • z • z • z 12z2

= 2 • 2 • 3 • z • z

The GCF is 2z2.

–5z3 = –1 • 5 • z • z • z

–30 = –1 • 5 • 6

The GCF is –5.

Answer:

84 in²

Step-by-step explanation:

[tex]S_{A} = A_{L}+A_{base}[/tex]

[tex]S_{A}[/tex] = 4(1/2 * 6 * 4) in² + 6 in * 6 in

[tex]S_{A}[/tex] = 2(24) in² + 36 in²

[tex]S_{A}[/tex] = 48 in² + 36 in²

[tex]S_{A}\\[/tex] = 84 in²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

27

Step-by-step explanation:

he was left with no pencils

Answer:

1/6

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

12/100

12%

Answer:

0.12

Step-by-step explanation:

divide 12 by 100 which would be moving the decimal point 2 times to the left.

Answer:

x = 53

Step-by-step explanation:

The angle labeled with the expression "2x - 20 " and the angle with the measure of 86 degrees are opposite interior angles.

Opposite interior angles are congruent

This means that 2x - 20 = 86

This is our equation.

We now solve for x using basic algebra

2x - 20 = 86

step 1 add 20 to each side

-20 + 20 cancels out

86 + 20 = 106

now we have 2x = 106

step 2 divide each side by 2

2x / 2 = x

106 / 2 = 53

we're left with x = 53

Answer:

26.39

Step-by-step explanation:

It's a right triangle, so because of how trigonometric functions work:

[tex]\sin B = \frac{4}{9}\\B = \arcsin\frac{4}{9} \approx 26.3878^\circ[/tex]

There's really no better way than to input it into a calculator.

So the only thing left is to round to the nearest hundredth.

Answer:

I want to say it is 30 digresses

Step-by-step explanation:

I a awnsering that scence its a acute angle but I am still not completly sure but that is still my guess

Answer:

7 x 6 = 42, 42 divided by 2 (x 1/2) = 21 meters

Step-by-step explanation:

Formula of area of a triangle:

BH x 1/2

base x height x 1/2(basically just dividing by 2)

Answer:21 m2

Step-by-step explanation:

h= 6

b= 7

6x7= 42

42 divided by 2 = 21

Area= 21m

[tex]=======================================[/tex]

parallel lines have the same slope; it means that if we have a line with a slope of -8, then the line parallel to the given line has the same slope (-8)

now, we are also given a point that the line passes through:

(9, 7)

we can use point-slope form:

[tex]\pmb{y-y1=m(x-x1)}[/tex]

[tex]\pmb{y-7=-8(x-9)}[/tex] (point-slope form)

now, convert to slope-intercept form, if necessary:

[tex]\pmb{y-7=-8x+72}[/tex]

[tex]\pmb{y=-8x+72+7}[/tex]

[tex]\pmb{y=-8x+79}[/tex]

[tex]================================[/tex]

Hope everything is clear; if you need any more explanation, kindly let me know.

Answer:A true

Got it right in the odyssey ware

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

22+(2x + 16)+90=180

combine like terms: 90+22+16=128

180-128=52

52=2x

52/2 = 2x/2

26 = x

(2*26+16) - angle B

Answer:

30 students

Step-by-step explanation:

Total number of students = 150

Of these students, 45 stated they eat breakfast on school days.

We need to find the percentage of the students in the survey stated they eat breakfast on school days. It can be calculated as follows :

[tex]\%=\dfrac{45}{150}\times 100\\\\=30[/tex]

Hence, out of 150, 30 students stated they eat breakfast on school days.

Answer: i think B

Step-by-step explanation:

88(4/11)-88(1/11)

Answer:

bcd

Step-by-step explanation:

Answer: change, position, shape

Step-by-step explanation:

Answer:

5000 pounds

Step-by-step explanation:

2.5 x 2000 pounds in a ton

5000 pounds

Answer and Step-by-step explanation:

The answer is acute.

Acute angles are angles that have a degree that is less than 90 degrees.

Obtuse angles are angles that have a degree that is more than 90 degrees.

Right angles are angles that are 90 degrees.

Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.

#teatrmees #PAW (Plant And Water)

Answer:

She spent 8 dollars.

Step-by-step explanation:

24 divided by 3 is 8

Answer:

1, 3, and 4 would be correct answers

Step-by-step explanation:

1.) -x - 2x - 3y - 2y + 1 + 1 = -3x -5y + 2

2.) -3x + 2y + 3y + 2 = -3x + 5y + 2

3.) -3x - y - y - y - y - y + 2 = -3x - 5y + 2

4.) -x - x - x - y - y - y - y - y + 1 + 1 = -3x - 5y + 2

5.) x + x + x + y + y + y + y + y + 1 + 1 = 3x + 5y + 2

Hope this helps!

Step-by-step explanation:

(-3y^2+24y)(-6y^2-3y)

open the bracket and collect the like terms

-3y^2-6y^2+24y-3y

-9y^2+21y

Answer:

D 3,704

Step-by-step explanation:

Answer:

the answer is 3,704

Step-by-step explanation:

wouldn't you just multiply 483 by so the answer is 3,704