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3 years ago

Pleas answer this in two minutes

Mathematics

1 answer:

Ainat [17]3 years ago

4 0

Answer: x=5, y=7

Step-by-step explanation:

Since ΔEFG and ΔHIJ are congruent, we can set the corresponding sides equal to each other.

y+14=3y [subtract both sides by y]

14=2y [divide both sides by 2]

y=7

------------------------------------------------------------------------------------

10x=x+45 [subtract both sides by x]

9x=45 [divide both sides by 9]

x=5

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The publisher of a recently released nonfiction book expects that over the first 20 months after its release, the monthly profit

wolverine [178]

Answer:

(a) $\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

(b)P'(5)=-($4.54) Thousand

(c)P'(11)=-($2.10) Thousand

(d)The fifth Month

Step-by-step explanation:

Given the monthly profit model:

$P(t)=\frac{240t-40t^2}{t^2+20}$

(a)We want to derive a model that gives the Marginal Profit, P' of the book.

We differentiate

$P(t)=\frac{240t-40t^2}{t^2+20}$ using quotient rule.

$\frac{dP}{dt}=\frac{(t^2+20)(240-80t)-(240t-40t^2)(2t)}{(t^2+20)^2}$

Simplifying

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

We have derived a model for the marginal profit.

(b) After 5 months, at t=5

Marginal Profit=P'(5)

$\frac{dP}{dt}=\frac{4800-1600t-240t^2}{(t^2+20)^2}$

$P^{'}(5)=\frac{4800-1600(5)-240(5)^2}{(5^2+20)^2}$

=-($4.54) Thousand of dollars

(c)Marginal Profit 11 Months after book release

$P^{'}(11)=\frac{4800-1600(11)-240(11)^2}{(11^2+20)^2}$

=-($2.10) Thousand of dollars

(d) Since the marginal profit at t=5 is negative, after the 5th Month, the profit starts to experience a steady decrease.

6 0

3 years ago

20x100/2???????????????????????????????????????????????????????????????????????????????

Nezavi [6.7K]

Answer: 1000

Step-by-step explanation:

20x100=2000 and then 2000/2=1000

7 0

3 years ago

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Which mixed number is equal to 18/8 <br> 2 6/9<br> 2 5/8<br> 2 1/4<br> 1 2/8

Galina-37 [17]

Answer: 2 1/4

Step-by-step explanation:

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3 years ago

There are 24 girls in a class. The ratio of girls to boys is 3:8.

dangina [55]

Answer:

64 boys.

Step-by-step explanation:

There are 3 girls for every 8 boys.

24/3 = 8

8 * 8 = 64

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3 years ago

BD is the bisector of angle ABC. Find the length of the segment AE.

viva [34]

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