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musickatia [10]
3 years ago
8

At 4:00 am, the outside temperature was -28*F. By 4:00 P.M. it rose 38 degrees. What was the temperature at 4:00 P.M. ?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0
The answer would be 10 degrees
i hope this helps
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4. Using the geometric sum formulas, evaluate each of the following sums and express your answer in Cartesian form.
nikitadnepr [17]

Answer:

\sum_{n=0}^9cos(\frac{\pi n}{2})=1

\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=0

\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})=\frac{1}{2}

Step-by-step explanation:

\sum_{n=0}^9cos(\frac{\pi n}{2})=\frac{1}{2}(\sum_{n=0}^9 (e^{\frac{i\pi n}{2}}+ e^{\frac{i\pi n}{2}}))

=\frac{1}{2}(\frac{1-e^{\frac{10i\pi}{2}}}{1-e^{\frac{i\pi}{2}}}+\frac{1-e^{-\frac{10i\pi}{2}}}{1-e^{-\frac{i\pi}{2}}})

=\frac{1}{2}(\frac{1+1}{1-i}+\frac{1+1}{1+i})=1

2nd

\sum_{k=0}^{N-1}e^{\frac{i2\pi kk}{2}}=\frac{1-e^{\frac{i2\pi N}{N}}}{1-e^{\frac{i2\pi}{N}}}

=\frac{1-1}{1-e^{\frac{i2\pi}{N}}}=0

3th

\sum_{n=0}^\infty (\frac{1}{2})^n cos(\frac{\pi n}{2})==\frac{1}{2}(\sum_{n=0}^\infty ((\frac{e^{\frac{i\pi n}{2}}}{2})^n+ (\frac{e^{-\frac{i\pi n}{2}}}{2})^n))

=\frac{1}{2}(\frac{1-0}{1-i}+\frac{1-0}{1+i})=\frac{1}{2}

What we use?

We use that

e^{i\pi n}=cos(\pi n)+i sin(\pi n)

and

\sum_{n=0}^k r^k=\frac{1-r^{k+1}}{1-r}

6 0
3 years ago
What is the volume of a sphere with radius 9? Round to the tenths.
GrogVix [38]

Answer:

V=3053.6

Step-by-step explanation:

8 0
3 years ago
Please help #2! I’ll give first and correct brainliest!
inna [77]

Answer:

Confused as well

Step-by-step explanation:

If there are hypothetically 10 hours a day with 100 minutes an hour and 100 seconds per minute

at 6 pm there would be 18 hours gone in the day

18 normal hours are equal to 18*60*60 = 64800 seconds

(64800 seconds) / 10000 ( for hours)

6:48 would be the replacement  time

but this answer is wrong bc it's not an option

6 0
3 years ago
Please help me
beks73 [17]
The answer is B
because 
10*60=600 s
5*60=300s
2*60=120s
you have a total 1020 s
7 0
4 years ago
Factor completely. <br> -3x^2+9x+30
STatiana [176]

Answer:

− 3 ( x − 5 ) ( x + 2 ) hope this helps

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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