We will have to use proportions:
Cross multiplying we get
Now divide:
Solve to tenths place we get
The woman casts a 36.6 ft long shadow.
Answer:
x = $3, or x = $11
Step-by-step explanation:
The equation given is 
where
- P(x) is the profit, and
- x is the app price
<u>We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:</u>
<em>It means (x-3) = 0 OR (x-11) = 0</em>
So, x = 3, or 11
The Law of Cosine states
cos
so plugging in the numbers gives us
cos
We now have cosJ so plug that into your calculator and find arccos (arccos(cos(J)) = J)
arccos
rounding your answer will give you 34°
Answer:
Between 55 and 65
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 60
Standard deviation = 5
Between what two values do about 68% of the values lie?
By the Empirical Rule, within 1 one standard deviation of the mean. So from 60-5 = 55 to 60+5 = 75.
Answers:
<h3>k = 13</h3><h3>The smallest zero or root is x = -10</h3>
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Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
