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Over [174]
2 years ago
10

Olamami performancematters.com/ola/lapichentCodes Miamidade

Mathematics
1 answer:
dangina [55]2 years ago
8 0

Answer:

The correct option is;

B, C, and D

Step-by-step explanation:

The labelled letters on the number line are;

A = 2 units to the left of the point 0 = - 2 units

B = 1 units to the left of the point 0 = - 1 unit

C = Located at the point 0

D = 1 units to the right of the point 0 = +1 unit

Therefore, the letters that have their opposites labelled are;

Given that we have;

The opposite of B = -1 is +1 = D

The opposite of D = +1 is -1 = B

The opposite of C = 0 is 0 = C

The letters which have their opposites labelled are B, C and D

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Find the slope of the line that passes through (10,8) and (8,0).​
N76 [4]

Answer:

The slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4.

Explanation:

Points given = ( -10, -8) and ( -8, -16)

Slope = ?

( -10, -8 ) : x1 = -10 and y1 = -8

( -8, -16 ) : x2 = -8 and y2 = -16

We know,

slope = y2 - y1 / x2 - x1

Slope = -16 - ( -8) / -8 - (-10)

slope = -16 + 8 / -8 + 10

slope = -8 / 2

slope = -4

Therefore,  slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4.

Step-by-step explanation:

3 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
B. Mercury, Venus, and Earth are the three planets closest to the sun. Would their combined distance from
Arte-miy333 [17]

Answer:

Mercury Venus and earth together would be greater than the distance from Neptune to the sun  neptune is 2.759 billion miles away from the sun and the three others combined are 196.18 million miles away from the sun.

5 0
2 years ago
Explain the difference between finding the volume of a cylinder and the volume of a cone.(please help me)
Natali5045456 [20]

Answer:

The difference is that the height of the cone is divided by 3

Step-by-step explanation:

formular of cylinder

V=\pi r^2h

Formular of a cone

V=\pi r^2\frac{h}{3}

7 0
3 years ago
Sequences:
joja [24]

Answer:

<u>The sequence is</u>

  • 1, 1 + 2, 1 + 2 + 3, 1  + 2 + 3 + 4, ...

Each term is the sum of the consecutive numbers from 1 to that number.

<u>The nth term is the sum of the first n numbers:</u>

  • aₙ = 1 + 2 + 3 + ... + n
  • aₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)
  • aₙ = n(n + 1)/2

1) The number of circles in the nth pile is n(n + 1)/2

2) When n tends to infinity the number of circles tends to infinity

4 0
2 years ago
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