Answer:
At 7 seconds the instantaneous rate of change of the function s(t) with time which is the velocity is -11.18 m/s
Step-by-step explanation:
The given information on the height can be written as follows;
s(t) = -2.72·t² + 26.9·t + 6
Where;
s = The height (displacement) of the golf ball
t = The time taken during the motion of the golf ball
The velocity is found by finding the derivative of the displacement s as follows;
v = d(s(t))/dt = d(-2.72·t² + 26.9·t + 6)/dt = 2×(-2.72)×t + 26.9
When t = 7, v = 2×(-2.72)×7 + 26.9 = -11.18 m/s
Therefore the ball is coming down with 11.18 m/s speed at 7 seconds.
Answer:
x = 29°
The angles are 137° , 116° , 96° , 44° and 147°
Step-by-step explanation:
The sum of the angles of the polygon is given as 540°. The angles are given as 5x – 8°, 4x°
, 96° , 44°, 5x + 2. Therefore, the value of x can be found as follows
5x – 8° + 4x° + 96° + 44° + 5x + 2° = 540°
collect like terms
5x + 4x + 5x - 8 + 96 + 44 + 2 = 540°
14x + 134 = 540°
14x = 540 - 134
14x = 406
divide both sides by 14
x = 406/14
x = 29°
Therefore, the angles are as follows
29 × 5 - 8 = 137°
29 × 4 = 116°
96°
44°
5 × 29 + 2 = 147°
Answer:
<u>The correct answer is A. Add 4 to both sides, and then divide by 2. The solution is x = 12.</u>
Step-by-step explanation:
1. For solving the question and understand which of the statements matches with the solution, let's proceed with the equation:
2x − 4 = 20
2x - 4 + 4 = 20 + 4 (Adding 4 at both sides)
2x = 24
2x/2 = 24/2 (Dividing by 2 at both sides)
x = 12
<u>The correct answer is A. Add 4 to both sides, and then divide by 2. The solution is x = 12.</u>
Answer:
.65625 gallons a week
Step-by-step explanation:
1.5 x 7=10.5
10.5/16= .65625
