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2 years ago

A 25-inch television has a screen that is 15 inches high. How wide is the screen? inches

Mathematics

1 answer:

Firdavs [7]2 years ago

8 0

Answer:

20 inches

Step-by-step explanation:

Use the Pythagorean Theorem.

$a^2 + b^2 = c^2\\15^2 + b^2 = 25^2\\225 + b^2 = 625\\b^2 = 400\\b = \sqrt{400} \\b = 20$

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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

2 years ago

Graph the system of equations. 2x - y=4 1 x - y = -2

dybincka [34]

PPLMway will help

Step-by-step explanation:

4 0

3 years ago

Need help on this quadratic factoring problems

Effectus [21]

3: m= 2, -3
4: x= -1, 5/2
5: x= -1, -3
6: x= 5/2, -4

3 0

3 years ago

Consider the expression 5/6(1/2x+6)-3x

Gwar [14]

Ok...I considered it....oh..u want me to answer it...lol..ok

5/6(1/2x + 6) - 3x
5/12x + 30/6 - 3x
5/12x - 36/12x + 5
- 31/12x + 5 <===

3 0

3 years ago

Which is the value of 2c2d if c = 0.5 and d = 3? A. 0.15 B. 1.5 C.33 D. 6 E 15

aksik [14]

Answer:

The answer is D (6).

hope this helps!

4 0

2 years ago