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4 years ago

Find the value of x and y.

Mathematics

2 answers:

Gre4nikov [31]4 years ago

6 0

x = 90 and y = 30

x is an right angle which always is 90 degrees and all of the sides are congruent so ∡c is≅∡b and angle c=60 so 90+60=150; 180-150=30

(180 is the total for any set of angles regaurdless of degrees)

ozzi4 years ago

3 0

UUUUhhhhhh....i cant really see it sorry.

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Assume that it costs Apple approximately E(x) 25,600 + 100x + 0.012 dollars to manufacture x 32GB iPods in a day. (a) The averag

uranmaximum [27]

Answer:

(a) $C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)x=1600, Minimum Average Cost Per iPod=$132

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

Step-by-step explanation:

Given that it costs Apple approximately $ C(x) to manufacture x 32GB iPods in a day, where:

$C(x)=25,600+100x+0.01x^2$

(a)The average cost per iPod when they manufacture x iPods in a day is given by:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}$

The average cost per iPod is therefore:

$C'(x)=\dfrac{x^2-2560000}{x^2}$

(b)To minimize average cost of x iPods per day, we set the average cost per iPod=0 and solve for x.

$C'(x)=\dfrac{x^2-2560000}{x^2}=0\\x^2-2560000=0\\x^2=2560000\\x=\sqrt{2560000}=1600$

The resulting minimum average cost (at x=1600) is given as:

$Cost \:Per \:iPod=\dfrac{C(x)}{x} =\dfrac{25,600+100x+0.01x^2}{x}\\\dfrac{25,600+100(1600)+0.01(1600)^2}{1600}\\=\$132$

Second derivative test

(c)The answer above is a critical point for the average cost function. To show it is a minimum, we calculate the second derivative of the average cost function.

$C''(x)=\dfrac{5120000}{x^3}$

At the critical point, x=1600

$C''(1600)=\dfrac{5120000}{1600^3}=0.00125$

The result, C''(1600) is positive, which means that the average cost is Concave up at the critical point, and the critical point is a minimum.

3 0

3 years ago

Which of the following are solutions to the inequality below? Select all that apply.-96-51

sergij07 [2.7K]

You have the following inequality:

$-51$

In order to determine which are valid solutions of the previous inequality, take into account that any positive value for V is solution of the previous equation, because if V is positive, 96/V is also positive.

Then, the following area solutions:

V = 3

V = 6

V = 8

V = 4

6 0

1 year ago

PLEASE HELP ME I BEG YOU !!!

boyakko [2]

Hi,

$f(x)=\log(x)$ FALSE

$f(x)=\log(x-4)+1$ TRUE

→ $f(x)=\log(x-2)$

$f(x)=\log(x+2)$ FALSE

$f(x)=2log(x)$ TRUE

4 0

4 years ago

Read 2 more answers

An online store contacts 1000 customers from its list of customers who have purchased in the last year. In all, 696 of the 1000

Vlad1618 [11]

The population in this setting is(A) All customers who have purchased something in the last year.

Step-by-step explanation:

As it is given in the question that 1000 customers from the list of the customers who made a purchase last year.So the list refers to the population of the people who have made a purchase last year .

The 1000 customers are the sample of the population.

8 0

3 years ago

Convert 0.865 from Base 10 to Base 2.8 and 16.

svetlana [45]

Answer:

Don't know

Step-by-step explanation:

can't help u in this

sorry

I am from India what about you I think Canada because I choose in states Canada

3 0

3 years ago