27, 140 is the correct answer
If period of

is one-half the period of

and
<span>

has a period of 2π, then

and

.
</span>
To find the period of sine function

we use the rule

.
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f is sine function where f (0)=0, then c=0; with period

, then

, because

.
To find a we consider the condition

, from where

.
If the amplitude of

is twice the amplitude of

, then

has a product factor twice smaller than

and while period of

<span> </span> is 2π and g(0)=0, we can write

.
Answer:
D is the correct option.
Step-by-step explanation:
In the given table, the first column is for "hours of training" and the second column is for "Monthly pay".
Now, we have to state the meaning of the term h(40)=1820.
In coordinate system we can write this as (40,1820).
Since, the first column represents "hours of training" and second column is for "Monthly pay". Hence, we can say that for 40 hours of training the monthly payment is $1820.
In other words, if the training attended by the worker is 40 hours, h/she would pay $1820.
Therefore, D is the correct option.
Answer:
Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.
Step-by-step explanation:
1.) Distribute
6−2(4−5)=40
6−8+10=40
2.) Combine like terms
6a-8a+10=40
-2a+10=40
3.) Subtract 10 from both sides of the equation
-2a+10=40
-2a+10-10=40-10
4.) Simplify
subtract the numbers
-2a+10-10=40-10
-2a=40-10
subtract the numbers
-2a=40-10
-2a=30
-2a=30
5.) Divide both sides of the equation by the same term
-2a=30

6.) Simplify
cancel terms that are in both the numerator or denominator

a=
Divide the numbers
a=
a=-15
a=-15
7.) Solution
a=-15