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alekssr [168]
2 years ago
9

Choose the set of numbers with an average of 7.

Mathematics
2 answers:
shtirl [24]2 years ago
6 0

Answer:

A) 3, 5, 7, 8, 12

Step-by-step explanation:

1) Add all the numbers together (35)

2) divide the sum by the number of numbers added (35/5)

30 35/5=7

sergiy2304 [10]2 years ago
5 0

Answer:

A

Step-by-step explanation:

3 + 5 + 7 + 8 + 12 = 35

35/5 = 7

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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
Write a variable expression for 9 more than a number s.
Vladimir [108]
S+9

More than suggests addition.
7 0
3 years ago
3. (04.04 MC)
Marina CMI [18]

Answer:

Part A:

The graph passes through (0,2) (1,3) (2,4).

If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2

Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.

Since the slope is constant (the same) everywhere, the function is linear.

Part B:

A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.

An example is  y=2x-3

A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3

A non-linear function contains at least one of the following,

*Product of x and y

*Trigonometric function

*Exponential functions

*Logarithmic functions

*A degree which is not equal to 1 or 0.

An example is...xy= 1 or y= sqrt. x

An example of a linear function is 1/3x = y - 3

An example of a non-linear function is y= 2/3x

3 0
3 years ago
What triangle congruence postulate would prove that the two triangles are congruent?
Cerrena [4.2K]

Answer:

1.) SSS

Step-by-step explanation:

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3 years ago
-15.41 rounded to the nearest hundreth
Vesnalui [34]
It would be -15.4 rounding to the nearest hundredth 
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