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3 years ago

The sum of 4 consecutive old numbers is 40. What is the second number in the sequence

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

7 0

If the sequence is 7+9+11+13 then the second number in the sequence is 9

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Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x

Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

3 0

3 years ago

5^-1 = blank * 5^4 find the missing factor

skad [1K]

Answer:

1/3125 or, 5^-5

Step-by-step explanation:

5^-1 = blank * 5^4

1/5/625= blank or, 5^-1/5^4=blank

blank=1/3125 5^-5=blank

4 0

2 years ago

Please Help me<br> This is due ASAP!

77julia77 [94]

Answer:

20 nickels

23 dimes

Step-by-step explanation:

hope this helps!

7 0

2 years ago

The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite those sides are __

frez [133]

The answer is “C” supplementary I think.

5 0

3 years ago

In t hours the train has traveled s miles. Find the formula for v, the speed of the train (in mph) in terms of t and s. Find the

Digiron [165]

Answer:

Part 1 .

As per the given statement: In t hours the train has traveled s miles.

Distance of the train = s mile

Time = t hours

Formula for :

Speed of the train(v) = $\frac{\text{Distance of the train}}{\text{Time}}$

$v = \frac{s}{t}$ mph .....[1]

Substitute the value of t = 3 hours and s = 180 miles in [1], to solve for v;

$v = \frac{180}{3} = 60 mph$

Therefore, the speed of the train(v) is, 60 mph

Part 2.

Similarly,

The formula for speed of the train (v) is given by;

$v =\frac{s}{t}$

Substitute the value of t = 2.5 hours and s = 225 miles to solve for v;

$v = \frac{225}{2.5} = 90 mph$

Therefore, the speed of the train(v) is, 90 mph

7 0

3 years ago

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