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.
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Number of ounces left is 1120
Step-by-step explanation:
- Step 1: Find number of ounces left after each day.
Given total soup prepared each day = 15 gallons
Amount served each day = 1/4 of 15 = 15/4 gallons
Amount left after each day = 15 - 15/4 = 60 - 15/4 = 35/4 gallons
- Step 2: Convert gallons into ounces. 1 gallon = 128 ounces
35/4 gallons = 35/4 × 128 = 1120 ounces
Jenny is a full-time college student at the local university. She is debating whether to purchase renter’s insurance or not. In at least one paragraph, give Jenny 3 reasons why purchasing renter’s insurance is important. Also, give your recommendation on how much renter’s insurance she should purchase and why.a. Answers will vary. Jenny should purchase at least$11,050 worth of coverage to ensure that all of her belongings are covered.
<h2>i HOPE IT'S HELP </h2>
Answer:
- a) 2x -y = -5; A=2, B=-1, C=-5
- b) y = 2x +5
Step-by-step explanation:
a) Standard Form is ...
Ax + By = C
where A > 0 and A, B, C are mutually prime.
To get that form, we can add 2x-5 to both sides of the equation:
(2x -5) -2x = (2x -5) -y +5
-5 = 2x -y
Then we can swap sides of the equal sign:
2x -y = -5 . . . . . . standard form
Matching this to the generic standard form equation, we find ...
A = 2
B = -1
C = -5
__
b) We can solve for y by adding 2x+y to both sides of the equation:
(2x +y) -2x = (2x +y) -y +5
y = 2x +5 . . . . . . slope-intercept form
Answer:
The inverse is ±sqrt(100-x)
Step-by-step explanation:
To find the inverse, exchange x and y
x = 100 -y^2
Solve for y
Subtract 100 from each side
x - 100 = -y^2
Divide by -1
-x +100 = y^2
Take the square root of each side
±sqrt(100-x) = sqrt(y^2)
±sqrt(100-x) =y
The inverse is ±sqrt(100-x)
