Which number is an integer?

I really need help on this question

lyudmila [28]

Answer:

31

Step-by-step explanation:

CPCTC and Parallel concurrency theorem

7 0

3 years ago

What are three types of life cycle

SpyIntel [72]

Answer: three type of life cycles are Haploid life cycle,Diploid life cycle, and alternation of generations.

3 0

3 years ago

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

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

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:

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

<u>Second derivative test</u>

(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

Melissa is saving money to buy a game. So far she has saved $20, which is four-fifths of the total cost of the game. How much do

Elena L [17]

Answer:

25

Step-by-step explanation:

5 10 15 20 25

7 0

3 years ago

Read 2 more answers

Thank you so much!!!

vova2212 [387]

Answer:

$\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}$

Step-by-step explanation:

(1) A typical form of equation of a line is:

$y = Mx + b$

with, $M$ is slope and $b$ is y-intercept.

(2) Another straight line has equation in form of:

$y = Nx + c$

with $N$ is slope and $c$ is y-intercept

(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:

$M$ x $N$ = -1

(4) Transform the given equation of original line into typical form:

$7x + 4y = -24\\$

<=> $4y = -7x - 24$

<=> $y = (\frac{-7}{4})x - \frac{24}{4}$

<=> $y = (\frac{-7}{4})x - 6$

=> $M = \frac{-7}{4}$

=> $N = \frac{-1}{M} = \frac{-1}{\frac{-7}{4} } = \frac{-4}{-7} = \frac{4}{7}$

=> Option D: $y = (\frac{4}{7})x + 8$ is correct (Slope = $\frac{4}{7}$ )

Hope this helps!

:)

4 0

3 years ago