Algorithms for 3.1-2.74

Mathematics

2 answers:

Mazyrski [523]3 years ago

8 0

.46 would be the answer:)))))) think of it as 310-274

bonufazy [111]3 years ago

6 0

The answer is forty six

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The cost for a company to manufacture x bracelets can be represented by the function C(x). Complete the sentence below using the

gizmo_the_mogwai [7]

The cost for a company to manufacture "x"....
These statements tell you what X is. (The word cost refers to what the function will tell us. In other words C(x) = The Cost for the Company))

So as we keep going the problem goes onto:
.... bracelets
So the number of bracelets is X.

The function is: C(x)

And how functions work are quite simple. You plug in a number (x) and get out a number (y).

So, C(256) = 1536

So, they made 256 bracelets at a cost of 1536 dollars.

This is no different than if I said the function was:
C(x) = 6x
And then asked, what would the function equal when x = 256. It's the same thing, so don't let it trip you up!

Answer 1: 1536$
Answer 2: 256

3 0

4 years ago

Read 2 more answers

Anna earns 50 points every time she shops at a grocery store. She needs a total of 3,470 points to receive a free prize. So far

Leona [35]

Step-by-step explanation:

I think its 63 times because 50X60 will get you 3,000 and you already have 320 so 3,000+320 is 3,320 and when you add 50, 3 more times you get 3,470 so it would be 63 times

8 0

4 years ago

Read 2 more answers

A man starts walking north at 5 ft/s from a point P. Five minutes later a woman starts walking south at 6 ft/s from a point 500

aev [14]

Check the picture below.

the man is going North, and he has a rate of 5 f/s, she's going south, 500 miles from P, the green distance, and she's going 6 f/s.

by the time she started walking, he already had been walking for 5 minutes, or 300 seconds, since he's going 5 f/s, then he had already covered 1500 feet by then.

after that, they both walked for 15 minutes more or 900 seconds, and for her that means 5400 feet, whilst for him going slower means 4500 feet, as you see in the picture.

since he's going North and she's going South, dy/dt is the combined rates, as you see there.

now, let's use the pythagorean theorem, bearing in mind that the green 500 feet are constant all the while, that matters because the derivative of a constant is 0.

$\bf r^2=x^2+y^2\stackrel{chain~rule}{2r\cfrac{dr}{dt}}=0+\stackrel{chain~rule}{2y\cfrac{dy}{dt}}\implies \cfrac{dr}{dt}=\cfrac{2y}{2r}\cdot \cfrac{dy}{dt}
\\\\\\
\cfrac{dr}{dt}=\cfrac{y}{r}\cdot \cfrac{dy}{dt}$

so, what is "r" value 15 minutes later anyway?

$\bf r=\sqrt{(1500+4500+5400)^2+500^2}\implies r=\sqrt{11400^2+500^2}
\\\\\\
r=\sqrt{130210000}\implies r=100\sqrt{13021}$

then we just plug those folks in the derivative,

$\bf \cfrac{dr}{dt}=\cfrac{y}{r}\cdot \cfrac{dy}{dt}\qquad 
\begin{cases}
r=100\sqrt{13021}\\
\frac{dy}{dt}=11\\
y=11400
\end{cases}\implies \cfrac{dr}{dt}=\cfrac{11400}{100\sqrt{13021}}\cdot 11
\\\\\\
 \cfrac{dr}{dt}=\cfrac{114\cdot 11}{\sqrt{13021}}\implies \cfrac{dr}{dt}=\cfrac{1254}{\sqrt{13021}}\implies \cfrac{dr}{dt}\approx 10.99~\frac{f}{s}$