Answer:
Atleast 4 women
Step-by-step explanation:
Ratio of
Women to men = 2 : 7
Number of women needed to maintain the ratio if there are 14 men on the roster :
The minimum number of women required :
(2 : 7) * number of men in roster
(2 / 7) * 14
2 * 2 = 4 women
Atleast 4 women are required to main the ratio
Answer:

Step-by-step explanation:
The only thing important in this question in the original equation is the slope, which is 3, the multiplyer for x. To find the opposite slope follow the steps below.
The first step is to make the original slope into a fraction.

Then flip the numerator and denominator.

Now multiply this value by -1.

There is the opposite slope of 3.
The frequency of the emitted radio waves is:

The energy of a photon is given by:

where h is the Planck constant and f is the photon frequency. Using the frequency given by the problem, we can find the energy of each photon of this radiation:
You can first use the fundamental trigonometric identity:
sin(x) ^2 + cos(x) ^2 = 1
=> cos(x) ^2 = 1 - sin(x) ^2
=> cos(x) ^2 = 1 - (-4/5)^2 = 1 - 16/25 = (25 - 16) / 25 = 9 /25
=> cos (x) = +/ - √ (9/25) = +/- 3/5
Now, analyze the sign.
In the fhird quadrant the cosine is negative, so the answer is cos(x) = - 3/5.
Answer: option C. - 3/5
Answer:
13 y^2 - 13 y + 11
Step-by-step explanation:
Simplify the following:
15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7
Grouping like terms, 15 y^2 - 2 y^2 + 2 y - 15 y + 4 + 7 = (15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4):
(15 y^2 - 2 y^2) + (-15 y + 2 y) + (7 + 4)
15 y^2 - 2 y^2 = 13 y^2:
13 y^2 + (-15 y + 2 y) + (7 + 4)
2 y - 15 y = -13 y:
13 y^2 + -13 y + (7 + 4)
7 + 4 = 11:
Answer: 13 y^2 - 13 y + 11