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2 years ago

Which of the following best describes a function? Select all that apply

Mathematics

2 answers:

Ivahew [28]2 years ago

5 0

Answer:

Step-by-step explanation:

A function produces a single output for each unique input.

The output does not have to be unique.

enot [183]2 years ago

3 0

Answer:

Where are the answer choice's??

Step-by-step explanation:

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The ratio of isabellathe ratio of isabella's money to shane's money is 3:11. If isabella has $33,how much money does shane have.

Sindrei [870]

Shane has 121 dollars

3 0

3 years ago

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

4 years ago

Plz answer correctly will give 30 points.

TEA [102]

Answer:

Step-by-step explanation:

trust me.

6 0

3 years ago

Read 2 more answers

M x-2 20 L Find the value of x. A.2 B.4 C.6 D.8

valentina_108 [34]

Answer:

X=4

Step-by-step explanation:

Eveything is explained in the pic. Hope that helps ;)

3 0

2 years ago

HELP PLZ WILL NAME YOU

nekit [7.7K]

Answer:

1-B The arrow is moving to the left which means that each equation should be negative which'll result in a negative.

2-A

8 0

3 years ago