Answer:
=10%
Step-by-step explanation:
We are asked the value of 10 + 9
we know
10 = 1
1= 100%
10 to 9 = 100 to 90
Therefore this is 10%
as 100%-90%=10%
Answer:
D
Step-by-step explanation:
Well, since t = time in air, we already know that it traveled 2 seconds.
H = height in meters, and H = 18
So, after 2 seconds the object is 18m in the air
So, option D
Answer:
1300 kids attended the circus
Step-by-step explanation:
Using one variable, we can set up an equation to solve for the amount of kids that attended the circus. Using 'x' for the amount of adult tickets, we can use '2x' for the amount of children's tickets since the problem says there were 'twice as many kids than adults'. With the ticket prices and total sales:
6x + 2.5(2x) = 7150 (distribute) 6x + 5x = 7150
Combine like terms: 11x = 7150
Divide by 11: 11x/11 = 7150/11 or x = 650
Since 650 represents the amount of adult tickets, 2x is the amount of children's tickets: 2(650) = 1300 childrens tickets
Answer:
The given function is
f(x)=cos 3x-7 x²+ 4x
f'(x)=-3 sin 3 x-14 x+4
When you will draw the graph of the function , you will find that root of the function lie between (-1,0).
Consider initial root as,
![x_{0}=0](https://tex.z-dn.net/?f=x_%7B0%7D%3D0)
Using Newton method to find the roots of the equation
![x_{n+1}=x_{n}-\frac{f{x_n}}{f'{x_{n}}}\\\\x_{1}=x_{0} - \frac{cos 3x_{0}-7 x_{0}^2+ 4x_{0}}{-3 sin 3 x_{0}-14 x_{0}+4}\\\\x_{1}=-\frac{\cos 0^{\circ}-0+0}{-3 \times 0-0+4}\\\\x_{1}=\frac{-1}{4}\\\\x_{1}= -0.25\\\\x_{2}=x_{1} - \frac{cos 3x_{1}-7 x_{1}^2+ 4x_{1}}{-3 sin 3 x_{1}-14 x_{1}+4}\\\\x_{2}=-0.25 -\frac{cos (-0.75)-7\times (0.0625)- 1}{-3 sin (-0.75)+3.50+4}\\\\x_{2}= -0.176054](https://tex.z-dn.net/?f=x_%7Bn%2B1%7D%3Dx_%7Bn%7D-%5Cfrac%7Bf%7Bx_n%7D%7D%7Bf%27%7Bx_%7Bn%7D%7D%7D%5C%5C%5C%5Cx_%7B1%7D%3Dx_%7B0%7D%20-%20%5Cfrac%7Bcos%203x_%7B0%7D-7%20x_%7B0%7D%5E2%2B%204x_%7B0%7D%7D%7B-3%20sin%203%20x_%7B0%7D-14%20x_%7B0%7D%2B4%7D%5C%5C%5C%5Cx_%7B1%7D%3D-%5Cfrac%7B%5Ccos%200%5E%7B%5Ccirc%7D-0%2B0%7D%7B-3%20%5Ctimes%200-0%2B4%7D%5C%5C%5C%5Cx_%7B1%7D%3D%5Cfrac%7B-1%7D%7B4%7D%5C%5C%5C%5Cx_%7B1%7D%3D%20-0.25%5C%5C%5C%5Cx_%7B2%7D%3Dx_%7B1%7D%20-%20%5Cfrac%7Bcos%203x_%7B1%7D-7%20x_%7B1%7D%5E2%2B%204x_%7B1%7D%7D%7B-3%20sin%203%20x_%7B1%7D-14%20x_%7B1%7D%2B4%7D%5C%5C%5C%5Cx_%7B2%7D%3D-0.25%20-%5Cfrac%7Bcos%20%28-0.75%29-7%5Ctimes%20%280.0625%29-%201%7D%7B-3%20sin%20%28-0.75%29%2B3.50%2B4%7D%5C%5C%5C%5Cx_%7B2%7D%3D%20-0.176054)
![x_{3}=x_{2} - \frac{cos 3x_{2}-7 x_{2}^2+ 4x_{2}}{-3 sin 3 x_{2}-14 x_{2}+4}\\\\x_{3}=-0.176054 -\frac{cos (3\times -0.176054)-7\times (-0.176054)^2+4 \times -0.176054}{-3 sin (-0.176054)-14 \times (-0.176054)+4}\\\\x_{3}= -0.1689](https://tex.z-dn.net/?f=x_%7B3%7D%3Dx_%7B2%7D%20-%20%5Cfrac%7Bcos%203x_%7B2%7D-7%20x_%7B2%7D%5E2%2B%204x_%7B2%7D%7D%7B-3%20sin%203%20x_%7B2%7D-14%20x_%7B2%7D%2B4%7D%5C%5C%5C%5Cx_%7B3%7D%3D-0.176054%20-%5Cfrac%7Bcos%20%283%5Ctimes%20-0.176054%29-7%5Ctimes%20%28-0.176054%29%5E2%2B4%20%5Ctimes%20-0.176054%7D%7B-3%20sin%20%28-0.176054%29-14%20%5Ctimes%20%28-0.176054%29%2B4%7D%5C%5C%5C%5Cx_%7B3%7D%3D%20-0.1689)
So, root of the equation is
=0.1688878
=0.1689(approx)
Answer:
The answer is 131072
Step-by-step explanation:
![\frac{1}{8} \times {16}^{5} = 131072](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20%20%5Ctimes%20%20%7B16%7D%5E%7B5%7D%20%20%3D%20131072)