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expeople1 [14]
3 years ago
9

Verify that sin (π + q) = -sin q is an identity.

Mathematics
1 answer:
frosja888 [35]3 years ago
7 0
Bearing in mind that cos(π) is -1, and sin(π) is 0, then

\bf \textit{Sum and Difference Identities}
\\\\
sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta)\\\\
-------------------------------\\\\
sin(\pi +q)=sin(\pi )cos(q)+cos(\pi )sin(q)
\\\\\\
sin(\pi +q)=0\cdot  cos(q)+(-1)\cdot sin(q)\implies sin(\pi +q)=-sin(q)
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Pleaseee someone help me :( Ive been stuck on this for an hour
Whitepunk [10]

Answer:

The number of times organism B's population is larger than organism A's population after 8 days is 32 times

Step-by-step explanation:

The population of organism A doubles every day, geometrically as follows

a, a·r, a·r²

Where;

r = 2

The population after 5 days, is therefore;

Pₐ₅ = = 32·a

The virus cuts the population in half for three days as follows;

The first of ta·2⁵ he three days = 32/2 = 16·a

The second of the three days = 16/2 = 8·a

After the third day, Pₐ = 8/2 = 8·a

The population growth of organism B is the same as the initial growth of organism A, therefore, the population, P₈ of organism B after 8 days is given as follows;

P₈ =  a·2⁸ = 256·a

Therefore, the number of times organism B's population is larger than organism A's population after 8 days is P₈/Pₐ = 256·a/8·a = 32 times

Which gives, the number of times organism B's population is larger than organism A's population after 8 days is 32 times.

Hope this helps you out! :)

Also, it's OK! This was actually pretty hard to figure out!

6 0
3 years ago
Plz help me with the problem below
zalisa [80]

Answer:

10

Step-by-step explanation:

4 0
3 years ago
Which of the following rational number between 3/7 and 7/8 ?
Charra [1.4K]

Answer:

Step-by-step explanation:

There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator.  So ...

The best way to do it is to change the two givens so that they have a denominator of 56

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7*7 / 7*8 = 49 / 46

So you need a number that is between 49 and 24

There is only one 27 / 56

6 0
3 years ago
Find the missing number so that the equation has no solutions. 5x+1-3x=_x+13
joja [24]

Answer:

You may just add 2 in the spot. Moreover, you get no solution.

Step-by-step explanation:

Hope this helped!

7 0
3 years ago
240,000 written as a whole number multiplied by the power of ten
Stolb23 [73]
This question can be also asked as what is the scientific notation of the number 240,000. The scientific notation is written as <span>a whole number multiplied by the power of ten. It should be written as follows:

2.4 x 10^5

Hope this helps. Have a nice day.</span>
8 0
3 years ago
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