Answer:
1.08 seconds
Step-by-step explanation:
given data
<u>first equation:</u>
According to the data, sharon position will be
h(t)= -16 
+ 4t +18---->eq(1)
<u>Second equation;</u>
When Sharon jumps, Megan throws a beach ball up to Sharon with an initial upward velocity of 16 ft/s from a height 5 feet off the ground to the nearest hundredth of a second
therefore, ball position would be
h(t)= -16 +16t +5 --->eq(2)
In order to find how long after she jumps does the ball reach Sharon i.e time, we will equate eq(1) and eq(2)
Therefore,
eq(1)= eq(2)
-16 +4t +18 = -16 + 16t +5 --->(further simplifying it)
-16 + 16 + 18 -5 = 16t - 4t
13 = 12t
t= 13/12
t= 1.08 s
Thus it took 1.08 seconds.
Answer:
3y times the quantity 2x minus 1 over x times the quantity x minus 2
Step-by-step explanation:
Answer:
Jaime's wrong, becuase the distance(absolute value) from the point estimate to the lower bound is different than he distance from the upper bound to the point estimate.
Step-by-step explanation:
The distance(absolute value) from the point estimate to the lower bound must be the same as the distance from the upper bound to the point estimate.
The point estimate is 0.14.
Jaime
Jaime's interval has a lower bound of 0.049 and an upper bound of 0.191
upper - point = 0.191 - 0.14 = 0.051
point - lower = 0.14 - 0.049 = 0.091
Jaime's wrong, becuase the distance(absolute value) from the point estimate to the lower bound is different than he distance from the upper bound to the point estimate.
Mariya
Just to check.
Mariya's interval has a lower bound of 0.079 and an upper bound of 0.201.
upper - point = 0.201 - 0.14 = 0.061
point - lower = 0.14 - 0.079 = 0.061
Mariya has the same distances, so it is correct.
Answer:
D: 1/35
Step-by-step explanation:
First, you have to know how many marbles there are, and if you count them all up there are 15 marbles in total. Next, there are 3 blue marbles, so you would put the fraction as 3/15, or simplified to 1/5. Now, if you don't replace that blue marble, you now only have 14 marbles, and there are 2 yellow, which means you have a 2/14 chance of drawing a yellow marble, simplified to 1/7. But because there are two parts of the problem you are going to multiply 1/5 by 1/7 to get 1/35, which is your answer.
Answer:
Length = 5
Width = 21
Step-by-step explanation:
(x)(x + 16) = 105
x^2 + 16x = 105
x^2 + 16x - 105 = 0
(x - 5) x ( x + 21) = 0
x - 10 = 0
x = 5
x + 21 = 0
x = -21
Now that we have the zeroes.
We have to find the most viable one to put in.
Using -21 would not make sense, so we will use 5.
Plug it in:
x = 5
(5) (5 + 16) = 105
5 ( 21) = 105
