Answer:
Total no.of possible outcomes = 200 × 4 = 800
No.of favourable outcomes = 200 × 1 = 200
P (E) = no.of favourable outcomes / total no.of possible outcomes
= 200/800
= 1/4
it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.
Let h(t) represent the height of the ball at time t.
Given that the height is given by:
h(t) = -16t² + 80t + 40
1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:
40 = -16t² + 80t + 40
16t² - 80t = 0
t(t - 5) = 0
t = 0 or t = 5
Hence it takes 5 seconds to reach a height of 40 ft.
2) The maximum height is at h'(t) = 0,
h'(t) = -32t + 80
-32t + 80 = 0
32t = 80
t = 2.5
It takes 2.5 seconds to reach maximum height.
Find out more at: brainly.com/question/11535666
Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.
Answer:
Depends on which function is which...
Step-by-step explanation:
The blue graph is the same as the yellow graph but raised up 1 unit. That means either:
blue function rule = yellow function rule + 1
or
yellow function rule = blue function rule - 1
Your picture doesn't say which function is <em>f</em> and which is <em>g</em>.
If, just to pick a possibility, the blue function is <em>g</em>(<em>x</em>), then
g(x) = f(x) + 1
If the blue function is <em>f</em>(<em>x</em>), then
g(x) = f(x) - 1
The minimum of a quadratic function, with a positive coefficient a, is its vertex.
Let's find the x₀ coordinate.
Now we need to find y₀ coordinate. That will be the minimum of function.
So, the minimum cost to produce the product is $13
Decompose 5x^2 − 70x + 258 into multipliers
Answer: 5(x − 7)^2 + 13; The minimum cost to produce the product is $13.
