To solve the equation 3x^2-4x=0 graphically, Amber will begin by plotting the graph of y=4x, and the x-coordinate points where the graphs intersect will provide the solutions.
Answer:
3/10 liter
Step-by-step explanation:
Assuming your statement indicates that in 4/3 liters of punch, there is 2/5 liters of water, then the proportion of water in the punch is calculated as:
(2/5)/(4/3) = (2/5)(3/4) = 3/10
So, 3/10 of a liter of water is included in each liter of punch.
Response:
Detailed explanation:
Weighing 71 grams would certainly categorize as a high outlier, while the majority of insect species typically weigh significantly less. Consequently, this weight distribution's graph would be skewed to the lower end, or leftward.
The similarity statements that illustrate the relationship between the two triangles include Triangle S R P being similar to triangle X Z Y, Triangle R S P corresponding to triangle Z X Y, and Triangle R P S matching triangle Z Y X.
To find the height equation for the soccer ball's trajectory, we start with the acceleration due to gravity of g=9.81 m/s². Converting this gives us approximately 32.18 ft/s², rounded to 32 ft/s². The height formula is h = -g/2 * t² + vt + h0. Setting t=0 and h=0, we deduce that h0=0. Thus h=-16t² + vt applies. Given that the ball reaches 50 ft in 2.5 s, it reaches 25 ft in 1.25 s. Now, using 25=-16(1.25)² + v(1.25), we find velocity v=50/1.25, which simplifies to 40. Therefore, the height equation is h = -16t² + 40t.
