An exercise ball, also known as a yoga ball, is a ball constructed of soft elastic with a diameter of approximately 35 to 85 centimeters (14 to 34 inches) and filled with air. The air pressure is changed by removing a valve stem and either filling with air or letting the ball deflate. It is most often used in physical therapy, athletic training and exercise. It can also be used for weight training. The ball, while often referred to as a Swiss ball, is also known by a number of different names, including balance ball, birth ball, body ball, ball, fitness ball, gym ball, gymnastic ball, physio ball, pilates ball, naval mine, Pezzi ball, stability ball, Swedish ball, or therapy ball.
Answer:
46.375
Step-by-step explanation:
Given information:
where, 0 ≤ x ≤ 3.
We need to divde the interval [0,3] in 6 equal parts.
The length of each sub interval is
Right end points are 0.5, 1, 1.5, 2, 2.5, 3.
The value function on each right end point are
Riemann sum:
![Sum=[f(0.5)+f(1)+f(1.5)+f(2)+f(2.5)+f(3)]\times 0.5](https://tex.z-dn.net/?f=Sum%3D%5Bf%280.5%29%2Bf%281%29%2Bf%281.5%29%2Bf%282%29%2Bf%282.5%29%2Bf%283%29%5D%5Ctimes%200.5)
![Sum=[0.25+3+8.25+16+26.25+39]\times 0.5](https://tex.z-dn.net/?f=Sum%3D%5B0.25%2B3%2B8.25%2B16%2B26.25%2B39%5D%5Ctimes%200.5)
Therefore, the Riemann sum with n = 6 is 46.375.
Answer:
2,455
Step-by-step explanation:
Your monthly payment on a personal loan of $10,000 at a <em>9%</em> interest rate over a 5-year term would be $208. You would pay <em>$2,455</em> in total interest over the life of this loan.
Hope this helps! c:
<span>To produce 1000L of mixture the factory will need 657 liters of grade A and 343 liters of grade B. To determine this you have to figure out the percentage of each grade in the mixture. The ratio is 2.3 liters to 1.2 liters. Therefor in this scenario the unit equaling 100% is 3.5 liters. To find the percentage of grade A you divide the amount used by the total amount of the unit 100%:
2.3 divided by 3.5 = .657 (multiply the answer by 100 to get 65.7%).
To find the percentage of grade B you divide the amount used by the total amount of the unit 100%:
1.2 divided by 3.5 = .343 (multiply the answer by 100 to get 34.3%)
To test your answer make sure both percentages add up to 100%:
65.75 plus 34.35 = 100%
To determine how much of grade A and grade B is needed for a set amount of liters you multiply the percentage by the liters needed.
For this situation you multiply 65.7% (when multiplying percentages you need to multiply in decimal form).
For grade A you multiply .657 (65.7%) by 1000 liters = 657 liters
For grade B you multiply .343 (34.3%) by 1000 liters = 343 liters
To test your answer you can use the same addition as you did to test the percentages:
657 liters plus 343 liters = 1000 liters</span>
Answer:
They ate 1 1/2 pizzas
Step-by-step explanation:
3/4 plus 3/4 equals 6/4 which simplifies to 1 1/2 so draw one full pizza and another half of a pizza
