Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,
If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to
So the height of the ball is that product.
A(6) = .33 cm
A is your answer
Answer: The number of miles Paul ran is 2 miles.
Step-by-step explanation:
Let the number of miles Paul ran be x
Since we have given that
Number of miles ran by Yurika = 7 miles
According to question, Yurika ran 3 more than twice as many miles as Paul did yesterday.
So, it becomes,
Hence, the number of miles Paul ran is 2 miles.
Answer:
- a) AB = 10 units
- b) Midpoint is (2, 6)
===================
<h3 /><h3>Given</h3>
- Points A( - 1, 10) and B(5, 2)
<h3>To find</h3>
- a) The length of AB
- b) The midpoint of AB
<h3>Solution</h3>
a) Use the distance formula:
Substitute the coordinates and calculate:
The distance is AB = 10 units
b) Use midpoint formula and find x and y- coordinates of this point:
and
Substitute coordinates and find the midpoint:
and
The midpoint is (2, 6)
Answer: Use 22/7 for π. Solution: Use the formula. C = 2πr. Substitute 14 for r. C = 2π(14) Substitute 22/7 for π. C ≈ 2 x (22/7) x 14. Simplify C ≈ 2 x (22/1) x 2. C ≈ 88. So, the circumference of the region watered by the sprinkler is about 88 feet.
Step-by-step explanation: Hope this helps
Answer:
The answer is 4az + a + 4z − 4
Step-by-step explanation:
= a + 9az + - 4 + -5az + 4z
= a + 9az + -4 + -5az +4z
= (9az + -5az) + (a) + (4z) + (-4)
= 4az + a + 4z - 4