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3 years ago

10

ladder is 8 ft long . The ladder needs to reach to a window that is 6 ft above the ground . How far away from the house should t

he bottom of the ladder be placed ?

1 answer:

stiks02 [169]3 years ago

5 0

Answer:

5.3 or 28

Step-by-step explanation:

$6^{2}$ + $b^{2}$ = $8^{2}$

36+ $b^{2}$ =64

64-36=28

$\sqrt{28\\}$

=5.29 or 5.3

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19. The cost function of a product is C(Q) = 3Q² +8 and the demand function of the same product is P =1/3 Q² — 10Q + 105, where

Kamila [148]

The marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

<h3>What is a marginal cost?</h3>

It is defined as the cost showing an increase in the cost when the number of units produced increases, In simple words it is the ratio of the cost to quantity.

We have a cost function of a product:

C(Q) = 3Q² +8

a) To find the marginal cost to differentiate it with respect to Q and plug

Q = 4:

C'(Q) = 6Q

C'(4) = 6(4) = 24

b) R(Q) = P×Q

$\rm R(Q) = (\dfrac{1}{3} Q^2 - 10Q + 105)Q$

$\rm R(Q) = \dfrac{1}{3} Q^3 - 10Q^2 + 105Q$

R'(Q) = Q² - 20Q + 105

Plug Q = 4

R'(Q) = (4)² - 20(4) + 105

R'(Q) = 41

c) Marginal profit:

MP(Q) = R(Q) - C(Q)

After calculating:

$\rm MP(Q) = \dfrac{1}{3}Q^3-13Q^2+105Q-8$

MP'(Q) = Q² - 26Q + 105

Plug Q = 4

MP'(Q) = 16 - 104 + 105 = 17

Similar, we can find the maximum profit.

Thus, the marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

Learn more about the marginal cost here:

brainly.com/question/7781429

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3 0

2 years ago

Shelly is trying to improve her running time for a track race she ran the first race in 43.13 seconds her time was 43.1 seconds

lesantik [10]

I we consider her running times as an arithmetic series with common difference:
43.13 - 43.1 = -.03/2 = -.015, Shelly's time in the fourth race will be 43.1 - .015 = 43.085.

7 0

3 years ago

Read 2 more answers

Given: measure of angle KJ = 124°, measure of IC =38°<br><br> Find: m∠CQJ, m∠LIJ.

VLD [36.1K]

Answer:

Part 1) $m$

Part 2) $m$

Step-by-step explanation:

Part 1) Find the measure of angle CQJ

we know that

The measure of the interior angle is the semi-sum of the arcs comprising it and its opposite.

$m$

$arc\ IK+arc\ CJ=360\°-(arc\ IC+arc\ KJ)$

substitute the values

$arc\ IK+arc\ CJ=360\°-(38\°+124\°)=198\°$

$m$

Part 2) Find the measure of angle LIJ

step 1

Find the measure of angle IJL

we know that

The inscribed angle is half that of the arc it comprises.

$m$

substitute the values

$m$

step 2

Find the measure of angle ILJ

we know that

The measurement of the external angle is the semi-difference of the arcs it encompasses.

$m$

substitute the values

$m$

step 3

Find the measure of angle LIJ

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

In the triangle LIJ

$m$

substitute the values

$m$

$m$

3 0

4 years ago

6points and brainliest answer No.4

Anton [14]

It is 6 because 6x6x6=216

3 0

3 years ago

Read 2 more answers

Find the inverse of f (x) = x + 2 + 9

Brut [27]

Answer:

y = x - 11

Step-by-step explanation:

First, turn the f(x) into a y:

y = x + 2 + 9

Now, switch the x and y.

x = y + 2 + 9

Add like terms.

2 + 9 = 11

x = y + 11

Now, solve for y. Subtract 11 on both sides.

y = x - 11

5 0

3 years ago