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4 years ago

Plz hurry I will give 17 points

Mathematics

2 answers:

Anestetic [448]4 years ago

8 0

Answer:

Organize

Step-by-step explanation:

UNO [17]4 years ago

6 0

Your answer should be organize, correct me if I’m wrong !

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3 over 2 + x = 7 over 4 whats x?

Alla [95]

Answer:

$\frac{3}{2} + x = \frac{7}{4} \\ x = \frac{3}{2} - \frac{7}{4} \\ x = \frac{6 - 7}{4} \\ = \frac{ - 1}{4} \\ x = - \frac{1}{4}$

7 0

3 years ago

A culture started with 3,000 bacteria. After 7 hours, it grew to 3,300 bacteria. Predict how many bacteria will be present after

frez [133]

P=Ae^(kt)
3300=3000e^(7k)
11=e^(7k)
In(11)/7=k
P=Ae^(In(11)/7t)
P=3000e^(In(11)/7(17))= 3780 in population.

5 0

4 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

3 years ago

What is the y-coordinate of point D after a translation of (x, y) ? (x + 6, y – 4)?

Mandarinka [93]

Answer:

Y-coordinate = y - 4

Step-by-step explanation:

In the given question point D coordinate is (x, y)

and D after translation

x goes to 6 unit to the right and y goes to 4 unit down.

Hence,

Y-coordinate = y-4

Example:From graph

Let point D coordinate (x , y) = (2 , 3)

After rotation

D coordinates is (x+6 , y-4) = (2+6 , 3_4) = (8 , -1)

6 0

3 years ago

Read 2 more answers

Find the equation of the line that has a slope of 3 and passes through the point (-5,4)

Ipatiy [6.2K]

We can use point-slope form (since we have the slope, and 1 ordered pair)

point-slope form is y-y1=m(x-x1)

x=-5
y=4
m=3

y-(4)=3(x-(-5)

7 0

3 years ago

Read 2 more answers