Find the slope of the line that passes through (4.4) and (5,3)

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.

[tex]adjacnt {}^{2} = opposite {}^{2} + hypotenuse {}^{2} \\ adjacent {}^{2} = 8 {}^{2} + 12 {}^{2} \\ adj {}^{2} = 64 + 144 \\ adj {}^{2} = 208 \\ adjacent = \sqrt{208} \\ adjacent = 4 \sqrt{13} [/tex]

Radius = 35 m 

Cost of fencing circular field is Rs 2640 at rate of Rs 12 per metre.

What is the radius of the circular field ?

 Let the radius of circular field be r metre.

Here , if we'll divide the total cost by per metre cost of fencing then we'll get circumference of the circular field.

➯ Circumference = 2640/12

➯ 220 m

As we know that , formula of circumference is

★ Circumference = 2πr ★

Hence, the radius of circular field is 35 metre.

Answer:

Solution given:

total cost =Rs 2640

rate=Rs 12/metre

We have

circumference of circle =[tex] \frac{total cost}{rate} = \frac{2640}{12} [/tex]

2πr=220m

r=[tex] \frac{220}{2π} [/tex]=35.01

r=35m(approximately)

the radius of the field is 35m.

Answer: [tex]6^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature in Canada at 6 am  on Christmas was [tex]-5^{\circ}C[/tex]

By noon the temperature had risen by [tex]11^{\circ}C[/tex]

So, the temperature  in Canada at  noon is

[tex]\Rightarrow -5+11\\\Rightarrow 6^{\circ}C[/tex]

Answer:

[tex]6a - 2[/tex]

Step-by-step explanation:

[tex]a - 2 + 5a[/tex]

[tex]6a - 2[/tex]

Answer:

Its the second one

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

Answer:

12 (Waylon's a big eater)

Step-by-step explanation:

To find how much one pizza cost, we simply divide the cost and the total amount, so:

96 ÷ 8 = 12

-------

Have a good day :)

9514 1404 393

Answer:

  C.  26

Step-by-step explanation:

The two marked angles are "vertical angles." They are congruent.

  x +20 = 3x +8 . . . . . congruent angles have the same measure

  12 = 2x . . . . . . . . . subtract x+8 from both sides

  6 = x . . . . . . . . . divide by 2

  ∠PTQ = (x+20)° = (6+20)° = 26°

Answer:

Solutions given:

we have

<RTS=PTQ[vertically opposite angle are equal]

so

3x+8=x+20°

3x-x=20-8

2x=12

x=12/2=6

x=6

m<PTQ=6+20=26°

option c.26.

Answer:

ɨ ċaռ't ɛxքʟaɨռ ɮʊt ɨt ɨs aċ=59x2

Answer:

x = 11

Step-by-step explanation:

Since this is a triangle, all interior angles add up to 180 so:

57 + 73 + 3x + 17 = 180

3x + 147 = 180

3x = 180 - 147

3x = 33

x = 11

Answer:

Que estoy confundida

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let angle ABZ be angle 1 and angle ZBC be angle 2.

Angle 1 = 85 degree

Angle 2 = 6x + 9

measure of angle ABC = 24x+4

Angle 2 = ABC - 85

6x + 9 = 24x + 4 - 85

6x - 24x = 4 - 85 - 9

-18x = -90

x = -90/-18 = 90/18 =

x = 5

Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree

Therefore the measure of angle ZBC = 39 degree

Hope you understand

Please mark as brainliest

Thank You

Answer:

Joey has $257 dollars after 6 months.

Step-by-step explanation:

6*$15.50 = $93

$350 - $93 = $257

Have a nice day! :-)

Answer:

he has 257 in his bank account

Step-by-step explanation:

[tex]15.5 \times 6 = 93[/tex]

[tex]350 - 93 = 257[/tex]

Answer:

Entire perimeter = 169in

Step-by-step explanation:

add all the inches up

The perimeter of the polygon drawn is the sum of its entire sides , which is 169 inches.

Given the polygon with the measure of its exterior :

The perimeter of the polygon is the sum of the exterior sides of the figure given :

Therefore, the perimeter of the polygon is 169 inches .

Learn more on perimeter : https://brainly.com/question/19819849

#SPJ2

Answer:

1/3*9.7*pi7.6^2ft^3

Step-by-step explanation:

Then round to the nearest hundred,

=586.7ft^3

Answer:

38.5 mm^2

Have a nice day!

Step-by-step explanation:

Area = πr^2

Area = π(3.5^2)

Area = π(12.25)

Area = 38.48451...

Area = 38.5

Answer:

100 times

Step-by-step explanation:

you have a 3/6 chance of rolling less than 4 once

so you multiply 3/6 times 200- you get 600/6

you simplify 600/6 to 100

100 times is the answer.

Have a fantasical day.

Answer:

$5.95

Step-by-step explanation:

Given :

Let containers = c ;Gallon of gas = g

2c + 8g = 38.06 - - - (1)

c + 3g = 15.76 - - - - (2)

From (2) :

c = 15.76 - 3g

2(15.76 - 3g) + 8g = 38.06

31.52 - 6g + 8g = 38.06

2g = 6.54

g = 6.54 / 2

g = 3.27

Recall :

c = 15.76 - 3g

c = 15.76 - 3(3.27)

c = 5.95

Answer:

x = 15

Step-by-step explanation:

Answer:

[tex]f(x) = 63000(0.97)^x[/tex]

Step-by-step explanation:

Given

[tex]f(0) = 63000[/tex] ---x = 0, in 2012

[tex]f(5) = 54100[/tex] -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

[tex]f(x) = ab^x[/tex]

Where

[tex]b = rate[/tex]

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

[tex]f(x) = 63000(0.97)^x[/tex]

Set x = 0

[tex]f(0) = 63000(0.97)^0 = 63000*1=63000\\[/tex]

Set x = 5

[tex]f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100[/tex]

This is true because the calculated values of f(0) and f(5) correspond to the given values

For option (d), we have:

[tex]f(x) = 52477(0.97)^x[/tex]

Set x = 0

[tex]f(0) = 52477(0.97)^0 - 52477* 1 = 52477[/tex]

This is false because the calculated value of f(0) does not correspond to the given value

For option (e), we have:

[tex]f(x) = 63000(0.97)^\frac{1}{5x}[/tex]

Set x = 0

[tex]f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =[/tex]undefined

This is false because the f(x) is not undefined at x = 0

For option (f), we have:

[tex]f(x) = 52477(0.97)^{5x[/tex]

Set x = 0

[tex]f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477[/tex]

This is false because the calculated value of f(0) does not correspond to the given value

From the computations above, only (c) [tex]f(x) = 63000(0.97)^x[/tex] is true

Answer:

Q1 = 4

Q2 = 7

Q3 = 42. 75

Step-by-step explanation:

Given the data:

626676848497

6, 2, 66, 7, 6, 8, 4, 8, 49, 7

Arrange in ascending order :

2, 4, 6, 6, 7, 7, 8, 8, 49, 66

The lower quartile (Q) :

1/4(n+1)th term

n = number of sample = 10

1/4(11)th term

2.75 term : (2 + 6) /2 = 8/2 = 4

Median :

1/2(n+1)th term

n = number of sample = 10

1/2(11)th term

5. 5 term : (7 + 7) /2 = 14/2 = 7

Upper quartile :

3/4(n+1)th term

3/4(11)th term

8.25 th term

3 /4 (8 + 49) = 42.75

Answer:

31

Step-by-step explanation:

I think the correct answer is 31

Answer:

B) 10 cm

Step-by-step explanation: since DC scaled up to 10 cm and they were both originally 6cm, RU would be 10cm.

Here are the ways that you can find an equivalent fraction:

Multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.

Answer:

You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction.

Step-by-step explanation:

Answer:  b = 14/3 = 4.667 feet

The decimal value is approximate. In reality the 6's go on forever. Round that however you need to.

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Work Shown:

b = unknown base

h = height = 6 ft

A = area = 14 sq ft

A = b*h/2

14 = b*6/2

14 = b*3

14 = 3b

3b = 14

b = 14/3

This approximates to 14/3 = 4.667 ft

Answer:

8 14

Step-by-step explanation: