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3 years ago

Which of the following is equivalent to 48 + 18

Mathematics

2 answers:

charle [14.2K]3 years ago

8 0

50+16 is equal to 48+18. You can combine 40 and 10 (50) and combine 8 and 8 (16). I hope this helped.

umka21 [38]3 years ago

3 0

48+18=66
60+6=66
50+16=66
40+26=66
33+33=66
4*16=66
3*22=66
so on...

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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

7 3/4 + (12 - 3 6/11) =

nataly862011 [7]

Answer:

$\frac{713}{44} = 16 \frac{9}{44}$

Step-by-step explanation:

7 3/4+ (12 - 3 6/11)

31/4 + (12 - 3 6/11)

31/4 + (12 - 39/11)

31/4 + 93/11

= 713/44 = 16 9/44

5 0

2 years ago

Read 2 more answers

What is the slope and equation of a line parallel to the x-axis passing through point (3,7)

Law Incorporation [45]

Thats when point =0. equation of a line mx +b where m is the slope
and b is the intercept

6 0

2 years ago

Giving brainlyist to the first person to answer with a complete and correct answer.

julsineya [31]

Hi There!

Given:

A placemat requires 30 feet of ribbon
Mandy has 200 feet of ribbon

To Find:

How many placemats can Mandy make, if she has 200 ft of ribbon?

Solve:

200÷30≈7

Thus, she can make 7 placemats.

<h3>Hope it helps & enjoy your day!</h3>

$\huge\textbf{TheStarryNights}$

3 0

1 year ago

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Joseph owns a pizza restaurant. He sells pizzas for $15 each and charges $8 for delivery. What would your total cost be if you h

ANTONII [103]

Answer:

y = 15x + 8

Step-by-step explanation:

Hey there!

15x represents 15 times how many ever pizzas you order and 8 is for the delivery cost.

Hope this helps!

8 0

2 years ago