How would you explain 0 (prime and composite wise)?

Step-by-step explanation: D. 20

I see you use the TeX command "\binom" for binomial coefficient, but I think you meant to use "\frac" to write a fraction, namely,

[tex]\dfrac{\sin(\alpha)+\sin(2\alpha)}{1+\cos(\alpha)+\cos(2\alpha)}=\tan(\alpha)[/tex]

and I assume you're supposed to establish an identity.

Recall the double angle identities for cos and sin :

cos(2α) = cos²(α) - sin²(α) = 2 cos²(α) - 1

sin(2α) = 2 sin(α) cos(α)

Now expand the left side as

(sin(α) + sin(2α)) / (1 + cos(α) + cos(2α)) = (sin(α) + 2 sin(α) cos(α)) / (1 + cos(α) + 2 cos²(α) - 1)

Factor sin(α) from the numerator, and after canceling the 1s in the denominator and factor cos(α) :

… = [sin(α) (1 + 2 cos(α))] / [cos(α) (1 + 2 cos(α))]

Cancel the factors of 1 + 2 cos(α) :

… = sin(α) / cos(α)

which is equivalent to

… = tan(α)

by definition of tan.

Answer:

8 units for 1, -9

6 units for 6, -6

Step-by-step explanation:

Answer:

A-(-5) = A+5

it is the answer

Answer:

a-(-5)

Step-by-step explanation:

Since it's originally an addition question but you want to write it as a difference (subtraction) question, you would use double negative signs. Whenever there are two double negatives next to each other, it counteracts and becomes a positive sign, however you still wrote it as a subtraction question.

Hope this helps

Answer:

A x>9

Step-by-step explanation:

add 4 to both sides and ta da

Answer:

x>9

Step-by-step explanation:

you move the negative 4 to the other side to get it away from x so then you can find the answer.

Hope this helps:)

Answer:

5

Step-by-step explanation:

x < 7

Which means 6 and below

only 5 people slept for less than 7 hours

Answer:

5 people

Step-by-step explanation:

Cuz you have to look what’s to the left of 7 and count the dots in 5 and 6

Answer:

A. Yeah

Step-by-step explanation:

Answer:

t = (p - 1/2)/3

Step-by-step explanation:

p = 4t + 1/2 - t​

combine like terms:

p = 3t + 1/2

subtract 1/2 from each side of the equation:

3t = p - 1/2

divide both sides by 3:

t = (p - 1/2)/3

Answer:

30.5

Step-by-step explanation:

Let ;

Sunny = S ; Medium = M ; Cold = C

_____ S _____ M ___ C

__X : 50 ____ 35 ___ 10

P(X) : 0.2 ____ 0.5 __ 0.3

P(M) = 1 - (0.2 + 0.3)

P(M) = 1 - 0.5 = 0.5

Expected profit per day, E(X)

E(X) = sum of (X * p(x)

E(X) = (50 * 0.2) + (35 * 0.5) + (10 * 0.3)

E(X) = 10 + 17.5 + 3

E(X) = 30.5

The ordered pair does not lie on the graph of the exponential function

is (12, 0).

Option A is the answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]

We need to substitute the values of x and y into the function and see if the equation holds true.

A. (12, 0)

Substituting x = 12 and y = 0 into the function, we get:

[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]

This does not equal y = 0, so (12, 0) does not lie on the graph of the function.

B. (-2, 48)

Substituting x = -2 and y = 48 into the function, we get:

[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]

This does not equal y = 48, so (-2, 48) does lie on the graph of the function.

C. (2, 3/16)

Substituting x = 2 and y = 3/16 into the function, we get:

[tex]f(2) = 3(1/4)^2 = 3/16[/tex]

This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.

D. (0, 3)

Substituting x = 0 and y = 3 into the function, we get:

[tex]f(0) = 3(1/4)^0 = 3[/tex]

This equals y = 3, so (0, 3) does lie on the graph of the function.

Therefore,

The ordered pair does not lie on the graph of the exponential function

is (12, 0).

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ2

Answer:

3 unit is the correct answer

Answer:

3 units

Step-by-step explanation:I took the test

Answer:

As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:

d1 = 44 / tan(60) = 25.403 m

For point2:

d2 = 44 / tan(30) = 76.210 m

The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.

The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

Answer:

e

Step-by-step explanation:

e

Answer:

6

Step-by-step explanation:

0.84 * (500/1000) = 0.84 * 0.5 = 0.42

0.92 * (750/1000) = 0.92 * 0.75 = 0.69

5 - (0.42 + 0.69) = 5 - 1.11 = 3.89 Euro

Answer is 3.89

Answer:

H

Step-by-step explanation:

This is because a rectangle can be divided into two triangles.

Using the slope concept, it is found that the swimmer is 21.95 feet from the boat.

In this problem:

Hence:

[tex]\tan{64^{\circ}} = \frac{45}{d}[/tex]

[tex]d = \frac{45}{\tan{64^{\circ}}}[/tex]

[tex]d = 21.95[/tex]

The swimmer is 21.95 feet from the boat.

You can learn more about the slope concept at https://brainly.com/question/26342863

Answer: 1.) 10

Step-by-step explanation:

-4 + 4 = 0

0 + 6 = 6

6 + 4 = 10

Answer:

3. Z=10 4. B=60

Step-by-step explanation:

For number 3 we work backwards. So, 6 - (-4) would equal 10. To check this -4  + 10 = 6. For number 4, we also work backwards, so 12 x 5 = 60. To check this 60/5 = 12. So z = 10 B = 60.

Answer:

A. -0.93

Step-by-step explanation:

It is a negative due to the scatter plot line decreasing as the precipitation increases, which cancels out C & D. Then, it is decreasing rapidly, which portrays it as closer to -1 than 0, meaning the answer is A.

Answer:

C.

Step-by-step explanation:

Answer:

She'll have $661 in the account in 2022.

Step-by-step explanation:

Compound interest:

The amount of money earned in compound interest after t years is given by the following equation:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial amount and r is the interest rate, as a decimal.

Rachael started off with $400. It earns 3% interest each year.

This means that [tex]A(0) = 400, r = 0.03[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 400(1+0.03)^t[/tex]

[tex]A(t) = 400(1.03)^t[/tex]

She wants to know how much money she'll have in the account in 2022.

17 years after 2005, which means that this is A(17). So

[tex]A(17) = 400(1.03)^{17} = 661[/tex]

She'll have $661 in the account in 2022.

Answer:

equation: s = 70W + 750

answer for 12 weeks: 1590

Step-by-step explanation:

You replace W with 12 to get the total amount per 12 weeks.

Answer:

The answer is 60x500=30000

Step-by-step explanation:

30000 is your answer

Answer:

-44

Step-by-step explanation:

Since a is -2 and y equals 7 we can plug them both into the expression to get -2 - 6(7) which after simple math results in the answer of -44.

Answer:   It is 217

360-(114+29)=217

114 + 29 = 143

Step-by-step explanation: Srry if its wrong

Answer:

44 + 45 = 99° divided by 2 = 49.5 (you can round to 49)

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Answer:

Uphill slopes are positive slopes.

The slope will be a positive number like 5 or 2/3.

Downhill slopes are negative slopes.

The slope will be a negative number like -7 or -1/3.

Step-by-step explanation: