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il63 [147K]
2 years ago
14

The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys?

Mathematics
1 answer:
IrinaK [193]2 years ago
4 0
10 boys and 15 girls
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We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measure
STALIN [3.7K]

Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be h(t) = -16\cdot t^{2} + 128\cdot t + 320, the first and second derivatives are, respectively:

First Derivative

h'(t) = -32\cdot t +128

Second Derivative

h''(t) = -32

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

-32\cdot t +128 = 0

t = \frac{128}{32}\,s

t = 4\,s (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320

h(4\,s) = 576\,ft

The highest altitude that the object reaches is 576 feet.

6 0
3 years ago
a web designer charges a $200 fee plus $50 per hour to build a website. which equation represents the total cost, y, to a custom
dezoksy [38]
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Help with b please I have 25 minutes left
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Answer:

60 × 66,666

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Step-by-step explanation:

If you look at the pattern on the top numbers, you can see that there is one six that keeps on getting added. I'm not sure of my answer, but that is what I would put.

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2 years ago
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Answer:

i

Step-by-step explanation:

Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.

Also, a negative number times another negative number, is a positive number. -2 * -2 = 4

With both of those true, then what number could be multiplied by itself to equal a negative number? i.

i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to \sqrt{-1}.

Hope that this helps!

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3 years ago
Which equation represents exponential decay?
timama [110]

Answer:

i would say A) But what you gotta do is look up the word of exponential decay and whatever it says will help you with The answer

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