MATHEMATICS
HIGH SCHOOL

Answer: 2cos theta = 1 -> cos theta = 1/2

Then theta = pi/3 + 2npi or -pi/3 + 2npi, where n is random interger

And the domain is restricted in [0,2pi]

So answer will be pi/3 or 5pi/3

Then theta = pi/3 + 2npi or -pi/3 + 2npi, where n is random interger

And the domain is restricted in [0,2pi]

So answer will be pi/3 or 5pi/3

MIDDLE SCHOOL

If the sum of four consecutive numbers is n, what is the first one? Write the formula for the sum of 7 consecutive numbers if the first one is m.

COLLEGE

How do i solve (x+2)^2 with given identity? My teacher wants me to show how to solve it using multiplication and given identity... i know how to solve it with foil and i get the answer and show it like this Foil: (x+2)^2

(x+2)(x+2)

x^2+2x+2x+4

x^2+4x+4

But given identity i don't know pls help i've been trying to figure it out for hours

Is the identity ?

If so, all you have to do is recognize that in your example, a = 2

Substitute into the identity

Recognizing an identity can be helpful in that it can save time when expanding.

If so, all you have to do is recognize that in your example, a = 2

Substitute into the identity

Recognizing an identity can be helpful in that it can save time when expanding.

MIDDLE SCHOOL

To win a basketball game, one team scored 146 points. They made a total of 56 two-pointers and three-pointers. How many of the baskets were worth 2 points, and how many were 3 pointers?

First,, you would take the 56 two pointers the team made and multiply 56 by 2 to find out how many actual points the team made with just the 2 pointers

56 x 2 = 112

Then,, you will subtract 112 from 146 to see how many points are left

146 - 112 = 34

That shows that 112 of the points came from 2 pointers and 34 came from 3 pointers :)

56 x 2 = 112

Then,, you will subtract 112 from 146 to see how many points are left

146 - 112 = 34

That shows that 112 of the points came from 2 pointers and 34 came from 3 pointers :)

There need to be 34 three-pointers and 22 two pointers (pls brainliest)

HIGH SCHOOL

The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how many bacteria will be present at the end of the 8th hour?

Answer:

The number of bacteria after will be

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

Where is number of bacteria after hours.

is bacteria present initially.

is the common ration, in our problem it is given that bacteria doubles every hour. So,

And is the number of hours. In our problem we need amount of bacteria at the end of hours. So,

Plugging values in the formula we get,

So, number of bacteria after will be