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3 years ago

A prime number is always divisible by one

Mathematics

1 answer:

Nostrana [21]3 years ago

7 0

True. Not sure if this is a true or false question but its true. Have a nice day and blessed be!

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What is the percent of increase from 45 to 70?21.7%35.7%55.6%64.3%

SSSSS [86.1K]

Answer:55.6%

Step-by-step explanation:

45-70= -25

-25/45 = 0.555

=55.6

4 0

2 years ago

Which of the following is a solution of x2 + 2x + 8?

zubka84 [21]

Using the quadratic equation we get:
$\frac{ - 2 + - \sqrt{4 - 32} }{2} = \frac{ - 2 + - \sqrt{ - 28} }{2}$

Factoring out 2 we get
$\frac{ - 2 + - 2\sqrt{ - 7} }{2} = - 1( + - ) \sqrt{ - 7}$
Factoring out the imaginary number:
$- 1 + \sqrt{7} i \: (and) \: - 1 - \sqrt{7} i$
So b.

4 0

2 years ago

For which value of theta is sin theta equals -1?

Olin [163]

Answer:

The value of Ф is 3π/2

Step-by-step explanation:

* Lets revise the angle Ф in the four quadrant

∵ r = √(x² + y²) ⇒ square the two sides

∴ x² + y² = r²

∵ r = 1

∴ x² + y² = 1

∵ cos² Ф + sin² Ф = 1

∵ x is the adjacent side to Ф and y is the opposite side to Ф

∴ x = cos Ф and y = sin Ф

- At point (1 , 0)

∵ x = 1 , y = 0

∴ cos Ф = 1 and sin Ф = 0

∵ The positive part of x-axis represents the angle 0 and 2π

∴ cos 0 and 2π are 1 and sin 0 and 2π are 0

- At point (0 , 1)

∵ x = 0 , y = 1

∴ cos Ф = 0 and sin Ф = 1

∵ The positive part of y-axis represent the angle π/2

∴ cos π/2 is 0 and sin π/2 is 1

- At point (-1 , 0)

∵ x = -1 , y = 0

∴ cos Ф = -1 and sin Ф = 0

∵ The negative part of x-axis represents the angle π

∴ cos π is -1 and sin π is 0

- At point (0 , -1)

∵ x = 0 , y = -1

∴ cos Ф = 0 and sin Ф = -1

∵ The negative part of y-axis represent the angle 3π/2

∴ cos 3π/2 is 0 and sin 3π/2 is 1

* For the value of Ф = 3π/2 is sin Ф = -1

6 0

3 years ago

Read 2 more answers

How many ways can 100 be written as the sum of distinct integers from the set {1, 2,..., 15}?

konstantin123 [22]

Answer:

48 ways

Step-by-step explanation:

Let me take a guess

S₁_₁₅ = (1+15)*7 + 8 = 120

There are 48 combinations of distinct digits from 1 to 15 to make 20

120-20=100

So every 20 has a corresponding 100

I wish I got it right, otherwise report it.

4 0

2 years ago

What is the coefficient in the expression 10x? -7 ?<br> A 7<br> B. X<br> O c. 10<br> O D. 2

allsm [11]

Answer:

C.) 10

Step-by-step explanation:

8 0

3 years ago