The equation for the path of the ball can be measured using a regression model calculator which produced the quadratic model ;
- y(x) = - 16x² + 36x + 4
- Height at x = 1.7 = 18.89 feets
<u>The table given</u> :
Time, x : __0.5 ___ 1 ____ 1.5 ____ 2
Height, y _ 18 ____22 ___ 24 ____ 12
<u>Using </u><u>technology</u><u> such as a </u><u>quadratic regression</u><u> calculator or </u><u>excel</u> ;
The quadratic regression model obtained is :
<u>The </u><u>height after, 1.7 seconds</u><u>, x = 1.7 can be calculated thus</u> :
Put x = 1.7 in the equation :
- y(1.7) = - 16(1.7)² + 36(1.7) + 4
- y = 18.89 feets
Therefore, the height of the baseball after 1.7 seconds will be 18.89 feets.
Learn more : brainly.com/question/22939512
If you picture a cylinder rolled out flat. there would be two circles for top and bottom and then a rectangle for the side. The rectangle would have width equal to height and length equal to circumference.
So then the areas of the pieces are added together to get total surface area.
= 2pi(3x-2)^2 + 2pi(3x-2)(x+3)
and you can simplify this is you want by multiplying through and combining like terms.
= 2pi(12x^2 - 5x -2)
or factor more to simplify the solution.
= 2pi(3x-2)(3x-2+x+3)
= 2pi(3x-2)(4x+1)
Answer:
180
^
120 Green, 60 Red
^ ^
Bruised Green = 30, Not Bruised Green = 90/Bruised Red = 12, Not Bruised Red = 48
Step-by-step explanation:
There is a beginning amount of 180 which goes in the first bubble. Then, you divide by 3 because 1/3 is red. 180 divided by 3 is 60, so there are 60 red apples. And 180 minus 60 is 120 and that's the amount of green. Then, 1/5 of the red apples are bruised so 60 divided by 5 is 12, so 12 are bruised and sincce 60 - 12 = 48, 48 are not. And then 1/4 of the green are bruised so 120 divided by 4 is 30, which means 30 are bruised. Lastly 120 minus 30 = 90, so 90 are not bruised that are green.
Hey There!
your win/lose ratio is 5/6 and you have 10 on your first one 5×2=10 so 6×2=12
the other one you have 18 so 6×3=18 so, 5×3=15 thus these being your answers.
Hope This Helps!!!
Answer:
50
Step-by-step explanation:
d-nr of ducks
g- nr of goats
2*d+4*g=260
d+g=80 /*(-2)
2d+4g=260
-2d-2g=-160
------------------
2g=100
g=100/2
g=50