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elena-14-01-66 [18.8K]

2 years ago

9

What is the distance between (-27. -3) and (1, -3)? -22,-3)

1 answer:

Murljashka [212]2 years ago

5 0

Answer:(-27,5)

Step-by-step explanation:

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durning the second half of a trivia game, Angie scored 867 points in the science round and -332 points in the art round.what was

Ket [755]

535 points. You could either add 867 to -332 or subtracted 332 from 867. I hope this was helpful.

8 0

2 years ago

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

2 years ago

What is the exact circumference of a circle with a radius of 12 inches?

Anestetic [448]

We can get the circumference of any circle in terms of the radius with this formula. C = 2 $\pi$ r.

Where r is the radius of the circle.

And we will use 3.14 for $\pi$ .

Plug in all the values.

C = 2 * 3.14 * 2

C = 12.56

So, the circumference of the circle is 12.6 inches when rounded to the nearest tenth.

8 0

2 years ago

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The width of a rectangular table is 2.3 feet less than its length. If the area of the table is 9.5 square feet, find its dimens

stellarik [79]

Answer: Width = 12 feet

length = 9 feet

8 0

2 years ago

Solve the system by substitution

Andru [333]

A solution on the photos

4 0

3 years ago

Read 2 more answers