The height (in meters) at time t (in hours) of a balloon is given the formula h(t) = −20t4 + 80t.What is the balloon's height when it starts moving?(Give an exact answer. Use symbolic notation and fractions where needed.)What is the balloon's velocity after 30 minutes?(Give an exact answer. Use symbolic notation and fractions where needed.)Find the maximum height of the balloon.(Give an exact answer. Use symbolic notation and fractions where needed.)mm/hm

The height (in meters) of a balloon at time t (in hours) is given by ht = -20t4+80t…

Answered: The height (in meters) at time t (in…

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter10: Quadratic Equations

Section10.4: Solve Applications Modeled By Quadratic Equations

Problem 159E: A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial...

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A bullet is fired straight up from a BB gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the formula h=16t2+v0t+8 to determine how many seconds it will take for the bullet to hit the ground. (That is, when will h=0 ?)
Simplify: (a) k0 (b) 290
Solve: FA=W for A.
The height (feet) of an object moving vertically is given by s = - 16t + 272t + 204, where t is in seconds. Find the object's velocity at t = 4, its maximum height and when it occurs, and its velocity when s = 0. ... The velocity of the object at t= 4 seconds is ft/second. (Simplify your answer. Type an integer or a decimal.)
The height (feet) of an object moving vertically is given by s = - 16t+80t + 60, wheret is in seconds. Find the object's velocity at t= 2, its maximum height and when it occurs, and its velocity when s = 0. ft/second. The velocity of the object at t = 2 seconds is (Simplify your answer. Type an integer or a decimal.)
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The height h, in feet, of a ball above the ground t seconds after being thrown upward with a velocity of 48 ft/s is given by h = −16t2 + 48t + 2. After how many seconds will the ball be 34 ft above the ground? (Enter your answers as a comma-separated list.) s
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The height (feet) of an object moving vertically is given by s = − 16t² +48t + 36, where t is in seconds. Find the object's velocity at t = 6, its maximum height and when it occurs, and its velocity when s = 0. The velocity of the object at t = 6 seconds is (Simplify your answer. Type an integer or a decimal.) ft/second.
Juan uses the equation below to determine the amount of interest he should earn on a 5-year investment. I = (5)(0.0125)P, where P is the amount invested. If Juan predicts he will earn $125 over the 5-year period, how much will he invest? Select one: O A. $1000 O B. $1625 O c. $2000 O D. $625
Doctors can use Cowling's Rule to determine the correct dosage of a drug to prescribe to a child: D(a + 1) where D is the adult dosage, d is the 24 child dosage, and a is the age of the child. If the adult dosage is 630 milligrams and the child's dosage is 420 milligrams, how old is the child? d = " years
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