By the use of the completing the square method, the maximum height is 3 ±√29/4 + 9 m.
<h3>What is the maximum height of the water?</h3>
The maximum height has been modeled by the use of the equation f(x)= -4x^2 +24x -29. Now we know that f(x)= h so we can write;
h = -4x^2 +24x -29
Now we have;
0 = -4x^2 +24x -29
-4x^2 +24x -29= 0
x^2 - 6x = -29/4
(x - 3)^2 = -29/4 + 3^2
(x - 3)^2 = -29/4 + 9
x = 3 ±√29/4 + 9 m
Learn more about completing the square:brainly.com/question/4822356
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Answer: men = 15 , women = 12
Step-by-step explanation:
Ratio of men to women = 5:4
Total ratio = 9
number of people = 27
number of men = ration of men / total ratio x total number of people
That is :
number of men = 5/9 x 27
number of men = 3
Number of women = ratio of women / total ratio x number of people
That is :
number of women = 4/9 x 27
number of women = 12
Answer:
(7, 10)
Step-by-step explanation:
The vector has an x component of 5 and a y component of 7, so we can add each of these components to the coordinates of B to get its image:
B(2,3)
B'(2 + 5, 3 + 7) = B'(7, 10)
Answe
Given,
f(x) = 49 − x² from x = 1 to x = 7
n = 4
For x= 1
f(x₀) = 49 - 1^2 = 48
x = 2.5
f(x₁) = 42.75
x = 4
f(x₂) = 49 - 4^2 = 33
x = 5.5
f(x₃) = 49 - 5.5^2 = 18.75
x = 7
f(x₄) = 49 - 7^2 = 0
We have to evaluate the function on therigh hand point
For Area for left hand sum
Recall your d = rt, distance = rate * time.
notice, the distance are the same, say it was "d" miles.
and if car A is travelling at a speed of say "r" mph, then B is going at "r+15" mph.
how far is B going? well, r + 15.