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4 years ago

Please help I need an answer ASAP

Mathematics

1 answer:

ratelena [41]4 years ago

3 0

Answer:

option 1st is correct !

Step-by-step explanation:

[ Refer to the attached file ]

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The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range

Setler [38]

Answer:

( 3, negative 1) I think.

Step-by-step explanation:

9 0

3 years ago

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Suppose that for a company manufacturing calculators, the cost, revenue, and profit equations are given by Start 1 By 3 Matrix

Nesterboy [21]

Answer:

Cost is Increasing at a rate of 20,000 per week
Revenue is decreasing at a rate of 100,000 per week
Profit is decreasing at a rate of 120,000 per week

Step-by-step explanation:

The cost, revenue, and profit equations for a company manufacturing calculators are given below:

Cost, C=90000+40x
Revenue, $R=200x-\frac{x^2}{20}$
Profit = R - C

$\frac{dx}{dt} =500\\$ When Production output x=4000

Change in Cost

Cost, C=90000+40x

$\frac{dC}{dt} =40\frac{dx}{dt}=40*500\\\frac{dC}{dt}=20,000$

Change in Revenue

$\frac{dR}{dt} =200\frac{dx}{dt}-\frac{x}{10}\frac{dx}{dt}\\=200*500-\frac{4000}{10}*500\\\frac{dR}{dt} =-100,000$

Change in Profit

$\frac{dP}{dt} =\frac{dR}{dt}-\frac{dC}{dt}\\=-100,000-20,000\\\frac{dP}{dt}=-120,000$

Therefore, when production output is 4000 and increasing at a rate of 500 calculators per week,

Cost is Increasing at a rate of 20,000 per week
Revenue is decreasing at a rate of 100,000 per week
Profit is decreasing at a rate of 120,000 per week

5 0

3 years ago

The quoientiant of the difference of a number and 24 divided by 8 is the same as the number divided by 6

Sergeu [11.5K]

$x-the\ number\\\\\dfrac{x-24}{8}=\dfrac{x}{6}\ \ \ \ |multiply\ both\ sides\ by\ 24\\\\3(x-24)=4x\\\\3x-72=4x\ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\\boxed{x=-72}$

5 0

3 years ago

surveyor stands 100 m from the base of a tower on which an antenna stands. He measures the angles of elevation to the top and bo

balu736 [363]

Answer: 36.3m

Step-by-step explanation:

To solve this, we can draw two triangle rectangles, where the distance between the man and the base of the tower is one of the cathetus, the adjacent one, the height will be the opposite cathetus.

The triangle where the elevation angle is 58° is associated with the height of the tower without the aerial

The other triangle, where the elevation angle is 63° is associated with the height of the tower with the aerial.

Then we can calculate those two heights, then compute the difference, and the difference will be equal to the height of the aerial.

In both cases we want to calculate the opposite cathetus, then we should use the relation:

Tan(θ) = (Op. cath)/(Adj. cath)

The height without the aerial is h1, let's find it:

Tan(58°) = h1/100m

Tan(58°)*100m = h1 = 160m.

The height with the aerial is h2, let's find it:

Tan(63°) = h2/100m

Tan(63°)*100m = h2 = 196.3m

Then the height of the aerial will be:

h2 - h1 = 196.3m - 160m = 36.3m

6 0

3 years ago

HELP PLEASE 50 PT

nikdorinn [45]

Answer:

102 cups

Step-by-step explanation:

314-212=102

8 0

3 years ago

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