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enot [183]
3 years ago
8

8. How do you find area of a triangle? * (10 Points)

Mathematics
1 answer:
dexar [7]3 years ago
4 0
The area of a triangle is calculated by multiplying the base and the height, then dividing that value by 2.
(1/2)bh
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Heather wants to make a 36% acid solution.
bonufazy [111]

Answer:

.72x + .27 = .36(x + 3)

4 0
3 years ago
Jasmine is traveling at 45 miles per hour. At that same rate, how long will it take her to travel 135 miles?
mina [271]
45\ miles\ per\ 1\ hour\\
135\ miles\ per\ x\ hours\\\\
making\ proportion:\\
45-1\\
135-x\\\\
cross\ multiplication\\\\
45x=135\ \ \ | divide\ by\ 45\\\\
x=3\\\\
It\ will\ take\ 3\ hours.
7 0
3 years ago
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Find a closed form for the generating function for each of these sequences. (assume a general form for the terms of the sequence
noname [10]
There really is no single "obvious" choice here...

Possibly the sequence is periodic, with seven copies of -1 followed by six copies of 0, or perhaps seven -1s and seven 0s. Or maybe seven -1s, followed by six 0s, then five 1s, and so on, but after a certain point it would seem we have to have negative copies of a number, which is meaningless.

Or maybe it's not periodic, and every seventh value in the sequence is incremented by 1? Who knows?

I'll go ahead and assume the latter case, that the sequence is not periodic, since that's technically somewhat easier to manage. We can assign the following rule to the n-th term in the sequence:

\{a_n\}=\{-1,\ldots,-1,0,\ldots,0,1,\ldots,1,2,\ldots,2,3,\ldots\}
\implies a_n=\left\lfloor\dfrac n7\right\rfloor-1

for n\ge0.

So the generating function for this sequence might be

G(a_n;x)=\displaystyle\sum_{n\ge0}\left(\left\lfloor\frac n7\right\rfloor-1\right)x^n

As to what is meant by "closed form", I'm not sure. Would this answer be acceptable? Or do you need to find a possibly more tractable form for the coefficient not in terms of the floor function?
4 0
3 years ago
I need to know the steps to simplify 15.7 + (-3.45)
faust18 [17]
U call it keep change change. keep 15.7. change it to subtract and change -3.45 to just 3.45 (positive not negative)
5 0
3 years ago
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What is the remainder when 3^99 is divided by 8?
Gnom [1K]

Answer:

3

Step-by-step explanation:

3^1=3 divided by 8 will give a remainder of 3

3^2=9 divided by 8 will give a remainder of 1

3^3=27 divided by 8 will give a remainder of 3

3^4=81 divided by 8 will give a remainder of 1

3^5=243 divided by 8 will give a remainder of 3

You will notice that 3^n will give 3 when n is odd number and 1 when n is even number

Since n=99 and 99 is an odd number,

Then the remainder is 3

3 0
3 years ago
Read 2 more answers
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