Answer:
t=+4.06
Step-by-step explanation:
when the baseball hits the ground, the height will be 0.
h=0we are given that h=−16t2+64t+4.
this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.
since time cannot be negative, only the positive value can be taken.
this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.
Answer:
Step-by-step explanation:
The formula for finding the distance between two points is expressed as shown
D = √(x₂-x₁)²+(y₂-y₁)²
Given the coordinate (17,3) and (17,−5), from the coordinates x₁ = 17, y₁ = 3, x₂ = 17 and y₂ = -5.Substituting the values given into the formula;
D = √(17-17)²+(-5-3)²
D = √0²+(-8)²
D = √64
D = 8
According to the result gotten, it can concluded that Marcia is correct although she didn't use the right expression to calculate her distance. She should have taken the square root of the sum of the square of difference in the coordinates axis according to the formula used.
Answer: You would have 50 quarters and 20 dimes
Step-by-step explanation: 50-30=20 so, 20+50=70
Answer:
5r + (5 x 6) = 84
looking for rice per pound.
Step-by-step explanation:
5r + (5 x 6) = 84
This shows an equation where we need to make r the subject to establish how many pounds a bag of rice weighs.
5r + (5 x 6) = 84
5r + (30) = 84
5r = 84-30
5r = 54/5
r = 10 4/5
r = 10.8 pounds
Answer:
0.25
Step-by-step explanation:
simplify 4/16 to 1/4.
multiply 1/4 by 25/25.
then you get 25/100, which equals to 0.25