Answer:
1.451 seconds. Hurry.
Step-by-step explanation:
The position(height, h) of the foot ball will be given by the equation:
h = -32.2t^2 + 45t + 2.5
The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity. The + is assigned since the ball is moving vertically from ground. The negative sign in -32t^2 is due to the acceleration being towards ground. The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.
We can either calculate or graph with this function to find the time the ball spends in the air:
<u>Calculate: </u>
h = -32.2t^2 + 45t + 2.5
We need a value of t that would cause h to be 5.5 feet, the level it was caught:
5.5 = -32.2t^2 + 45t + 2.5
-32.2t^2 + 45t + 2.5 = 5.5
-32.2t^2 + 45t -3.0 = 0
Solve for t using the quadratic formula. I get a value of 1.33 seconds.
<u>Graph:</u>
See the attached graph. It confirms the 1.33 second value
Answer:
His salary is $2666.68
Step-by-step explanation:
First add the percent of the costs. 10% + 15% = 25%
Then subtract 25% from 100% to find the percentage that 2,000 is of the total salary. 100% - 25% = 75%
$2,000 is 75% of the total salary. Divide 2,000 by three to find the amount of money 25% of the salary is. ( 75% is 3/4 of 100) 2,000 divided by 3 = $666.67
25% of the salary is $666.67
Multiple that by 4 and you get the total salary.
666.67•4= $2666.68
Are you sure those were all the correct numbers because that was not a very nice number at the end there lol but that answer is correct with the numbers you gave me.
Answer:
3
Step-by-step explanation:
The lights and pole form a right triangle. The question gives the hypotenuse as 5 and one side length as 4.
Use the Pythagorean theorem:
.
Plug in what you are given: 


b = 3
Or you could recognize that it was a pythagorean triple: 3, 4, 5
Question 1. 5b + 2 = 17
Step 1. Subtract 2 from both sides of the equation.
5b+2-2=17-2
Step 2. Then simplify.
5b=15
Step 3. Finally divide by 5.
5b/5=15/5
Answer: b=3
Question 3.
Step 1. Subtract 9 from both sides.
9+4b-9=17-9
Step 2. And simplify.
4b=8
Step 3. Finally divide by 4.
4b/4=8/4
Answer: b=2
Hope this helps! :)