Answer:
The cosine of the angle is: negative
The sine of the angle is: positive
Step-by-step explanation:
Answer:
<em>There are 72 crayons in the box</em>
Step-by-step explanation:
<u>Fractions</u>
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:

Thus, the portion of yellow crayons is:

This fraction of x crayons is equal to 14, thus:

x = 72
There are 72 crayons in the box
Answer: $ 125987.80
Step-by-step explanation:
Given: The value, V(t) of $393,000 worth of assets after t years, that depreciate at 15% per year, is given by the formula
, here
is the initial asset value and b is the multiplicative decay factor.
The exponential decay function is given by ;-
, where A is the initial value , x is the times period and b is the multiplicative decay factor.
where b = 1-r, r is the rate of decay.
Since r = 15%=0.15
Therefore, b = 1-0.15=0.85
Now ,for 7 years , the value of assets is given by :-

Hence, the assets valued at after 7 years = $ 125987.80
Two transformations occur on F(x) to obtain G(x).
a) Multiplication by -1
This means, the function is reflected across x-axis
b) Multiplication by 5.
This means vertical stretch by a factor of 5.
So, G(x) can be obtained by reflecting F(x) across x-axis and stretching it vertically be a factor of 5.
So, the correct answer is option B