Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Luanne got 14 multiple choic
1 answer:
You might be interested in
x = 2
solve 4x + 6 = 2x + 10
subtract 2x from both sides
2x + 6 = 10
subtract 6 from both sides
2x = 10 - 6 = 4
divide both sides by 2
x = = 2
as a check f(2) =(4 × 2 )+ 6 = 14 and g(2) =( 2× 2) + 10 = 14
<h3>Answer: B. About 93%</h3>
You have the correct answer.
=======================================================
Explanation:
Focus solely on the "in anime club" row. We do this because of the phrasing "given the student is in the anime club". We know for a fact that whoever is randomly picked, they are in the anime club. So we don't have to worry about other data values in the other rows.
Divide the value 0.13 which is in the "takes Japanese" column over 0.14, which is in the "total" column.
Basically we're computing where A and B represent the events "takes Japanese" and "in anime club" respectively. The upside down U symbol represents intersection to indicate both events are happening at the same time.
So we end up with 0.13/0.14 = 0.92857142857142 which rounds to 0.93, then that converts to 93% when you move the decimal point over to the right two spots.
Answer:
(1) 256 inches
(2) 5 feet
(3) 400 inches
(4) 10 feet
Step-by-step explanation:
(1) The function that gives the height in inches of the spray of water at a distance <em>x</em> from the sprinkler head is given as follows;
h(x) = 160·x - 16·x²
At x = 2 feet, we have;
h(2) = 160 × 2 - 16 × 2² = 256
Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches
(2) The x-coordinate, , of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;
= -b/(2·a)
The x-coordinate, , of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;
= -160/(2 × (-16)) = 5
Therefore, the number of feet along the way, the function will reach maximum height, = 5 feet
(3) The function, h(x) = 160·x - 16·x², will reach maximum height, , at x = 5, therefore;
= h(5) = 160 × 5 - 16 × 5² = 400
The maximum height of the spray, = 400 inches
(4) The water is at ground level where h(x) = 0, therefore;
At ground level, h(x) = 0 = 160·x - 16·x²
160·x - 16·x² = 0
∴ 16·x × (10 - x) = 0
By zero product rule, we 16·x = 0, or (10 - x) = 0, from which we have;
x = 0, or x = 10
The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.