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3 years ago

What is the rectangular form of 17(cos(315°) + isin(315°))?

Mathematics

2 answers:

Arlecino [84]3 years ago

7 0

Answer:

Step-by-step explanation:

EDG2021

Dmitriy789 [7]3 years ago

5 0

Answer:

it is answer A. I did the test bro :)

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Which statement is true regarding the graphed functions?

algol13

Answer:

x--5-4-3-2-1

Step-by-step explanation:

because it is x axis not y axis

8 0

3 years ago

Someeee one?????????????????

Ad libitum [116K]

Answer:

Option B) $a_{n} = 2\cdot 4^{n-1}$

Step-by-step explanation:

The given geometric sequence is

2, 8, 32, 128,....

The general form of a geometric sequence is given by

$a_{n} = a_{1}\cdot r^{n-1}$

Where n is the nth term that we want to find out.

a₁ is the first term in the geometric sequence that is 2

r is the common ratio and can found by simply dividing any two consecutive numbers in the sequence,

$r=\frac{8}{2} = 4$

You can try other consecutive numbers too, you will get the same common ratio

$r=\frac{32}{8} = 4$

$r=\frac{128}{32} = 4$

So the common ratio is 4 in this case.

Substitute the value of a₁ and r into the above general equation

$a_{n} = 2\cdot 4^{n-1}$

This is the general form of the given geometric sequence.

Therefore, the correct option is B

Note: Don't multiply the first term and common ratio otherwise you wont get correct results.

Verification:

$a_{n} = 2\cdot 4^{n-1}$

Lets find out the 2nd term

Substitute n = 2

$a_{2} = 2\cdot 4^{2-1} = 2\cdot 4^{1} = 2\cdot 4 = 8$

Lets find out the 3rd term

Substitute n = 3

$a_{3} = 2\cdot 4^{3-1} = 2\cdot 4^{2} = 2\cdot 16 = 32$

Lets find out the 4th term

Substitute n = 4

$a_{4} = 2\cdot 4^{4-1} = 2\cdot 4^{3} = 2\cdot 64 = 128$

Lets find out the 5th term

Substitute n = 5

$a_{5} = 2\cdot 4^{5-1} = 2\cdot 4^{4} = 2\cdot 256 = 512$

Hence, we are getting correct results!

6 0

3 years ago

Solve the inequality $-4x > -24.$ Give your answer in interval notation.

Scorpion4ik [409]

Answer:

x>6 that's means x is greater than 6

6 0

3 years ago

Solve this absolute value equation and show all work.

vitfil [10]

I was confused at first until I realized that you'd shared not one, not two, but three questions in one post. would you please post just one question at a time to avoid this.

I'll focus on your second question only: Solve 3 + |2x - 4| = 15.

Subtr. 3 from both sides. Result: |2x - 4| = 12

Divide all terms by 2, to reduce: |x - 2| = 6

Case 1: x-2 is already +, so we don't need | |:

x - 2 = 6 => x = 8 (first answer)

Case 2: x-2 is negative, so |2x-4| = -(2x-4) = 6

Then -2x + 8 = 6. Subtr. 8 from both sides: -2x = -2

Div both sides by -2: x = 1 (second answer)

Be sure to check these results by subst. them into the original equation.

Please post your other questions separately. Thanks and good luck!

6 0

3 years ago

A $104.000 selling price with $24000 down at 8 1/2% for 25 years results in a monthly payment of

romanna [79]

*******************************************************
(See attached formula)
Loan Principal = 104,000 - 24,000 = 80,000
rate = 8.5 / 1,200 = 0.0070833333 
time = 25 years = 300 months

Monthly Payment = 0.0070833333 + [ 0.0070833333 / ((1.0070833333)^300 -1)) ] *principal

Monthly Payment = 0.0070833333 + [ 0.0070833333 / ( 8.3104129461 -1)] * 80,000
Monthly Payment = 0.0070833333 + [ 0.0070833333 / ( 7.3104129461)] * 80,000
Monthly Payment = (0.0070833333 + 0.00096893750767) * 80,000
Monthly Payment = 0.00805227080767 * 80,000
Monthly Payment = 644.18

Source:
http://www.1728.org/calcloan.htm

3 0

3 years ago