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matrenka [14]
2 years ago
8

Can someone help me with this question

Mathematics
1 answer:
Savatey [412]2 years ago
6 0

x^2 + 9.5^2 = 11^2

x^2 + 90.25 = 121

x^2 = 30.75

x^2 = \sqrt{30.75}

x = 5.54cm

rounded: 5.5cm

answer: D

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A bag contains 100 marbles, some red and some purple. Suppose a student, without looking, chooses a marble out of the bag, recor
LUCKY_DIMON [66]

Answer:

45

Step-by-step explanation:

9 of the 20 drawn were red

9/20 * 100 = 45

8 0
3 years ago
Elasticity of Demand The demand function for a certain brand of backpacks is
Trava [24]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The demand function of a certain brand is given as price P a function of x quantity of goods ( in hundred ) demanded per month. The relation is:

                           P ( x ) = 50 Ln ( 50 / x ).

- The point price elasticity ( E ) of demand is given by:

                           E = \frac{P}{x}*\frac{dP}{dx}  

- Where, dP / dx : is the rate of change of price ( P ) with each hundred unit of good ( x ) is demanded.

- To determine the " dP / dx " by taking the first derivative of the given relation:

                          P ( x ) = 50 Ln ( 50 / x ).

                          d P ( x ) / dx = [ 50*x / 50 ] * [ -1*50 / x^2 ]

                                              = - 50 / x

- Hence the point price elasticity of demand is given by:

                          E = - ( P / x ) * ( 50 / x )

                          E = -50*P / x^2    

- For an inelastic demand, ! E ! is < 1:

                          ! -50*P / x^2 ! < 1

                          50*P / x^2 < 1

                          P < x^2 / 50

- For an unitary demand, ! E ! is =  1:

                          ! -50*P / x^2 !  = 1

                          50*P / x^2 = 1

                          P = x^2 / 50

- For an inelastic demand, ! E ! is > 1:

                          ! -50*P / x^2 ! > 1

                          50*P / x^2 > 1

                          P > x^2 / 50

2)

If the unit price is increased slightly from $50, will the revenue increase or decrease?

- We see from the calculated demand sensitivity d P / dt:

                          d P ( x ) / dx = - 50 / x

- We see that as P increases the from P = $50, the quantity of goods demanded would be:

                          50 = 50 ln(50/x)

                           1 = Ln ( 50 / x )

                           50/x = e

                           x = 50 / e

Then,

                          d P ( x ) / dx = - 50 / ( 50 / e )

                          d P ( x ) / dx = - e

- We see that if price slightly increases from $ 50 then the quantity demanded would decrease by e (hundreds ) goods.

- The decrease in the quantity demanded is higher than the increase in price. The revenue is given by the product of price P ( x ) and x:

                Revenue R ( x ) = P ( x ) * x

                                = 50*x*ln(50/x)

Then the product of price and quantity goods also decreases; hence, revenue decreases.

8 0
3 years ago
8+[5×6]= i need answer asap pls
Karo-lina-s [1.5K]

Answer:

38

Step-by-step explanation:

Follow orders of operations.

Slove the expression in the parenthesis or brackets whatever, same thing.

5*6=30

Now add

30+8=38

5 0
2 years ago
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Which of the following shows the Distributive Property of Multiplication of 4 x 24?
Nana76 [90]
The answer is (4x20) + (4x4) which equals 96
5 0
2 years ago
Which is a solution of the system of equations shown?
taurus [48]

Answer:

  D.  (2, 0)

Step-by-step explanation:

The solutions are the two points of intersection of the graphs:

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The latter of these corresponds to choice D, the one you have marked.

5 0
3 years ago
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