Math help please! Will give 20 points!1. A football is kicked at 40 yards away from a goal post that is 10 feet high. Its path is modeled by y = -0.03x 2 + 1.6x, where x is the horizontal distance in yards traveled by the football and y is the corresponding height above the ground in feet.
Does the football go over the goal post? How far above or below the goal post is the football? Use two or more complete sentences to explain your answers. (Hint: The unit conversion is built into the given function.)
Vertical Motion Model
The height, h, in feet of a projectile can be modeled by h = -16t 2 + vt + s where t is the time in the air in seconds, v is the initial vertical velocity, and s is the initial height in feet.
2. A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Write an equation to model the height of the ball: h = -16t 2 ___t + ____.
Complete the table.
Time t in seconds 0 0.5 1 1.5 ?
Height h in feet ? ? ? ? 0
3. A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.
Answers
the height will be y= –0.03x2 + 1.6x= 19.25 > 15
is 4.25 feet above the goal post.
Related Questions
The graphs of f(x) and g(x) are shown below:If f(x) = (x + 7)^2, which of the following is g(x) based on the translation? g(x) = (x + 9)^2 g(x) = (x + 5)^2 g(x) = (x − 9)^2 g(x) = (x − 5)^2
A system of equation is shown y=-2x+by= 3x+bWhat value of b is required so that the system has the solution (0,6)b= Please no link I need help badly!
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?A. 90B. 110C. 130D. 180
Which property can be used to show that if 3a = 4b, then 4b = 3a?
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4+8=(-8+8)+3x
12=3x
12/3=4
X=4
Hope that helps!!
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=523-378
=145 eggplants remaining
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4%
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Answer:
Step-by-step explanation:
You want to add these two fraction together so they need to have the same denominator. Find the common denominator by multiplying both denominators
2x5=10
then convert the fractions
(1/2)x5=5/10
(2/5)x2=4/10
now you can add them
(5/10)+(4/10)=9/10
so 9/10 students wear black or white shoes
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A negative example would be to sell ice cream in the winter time. The temperature outside is cold, therefore people want to eat and drink warmer items. They would probably prefer cocoa at this time.
No correlation would be something like cake. Cake is eaten throughout each year and has never been out of style. This means sales would be steady throughout the year.
For each of these examples, I have attached an image provide showing work to fully understand the problem.
Positive correlation
The number of kids at the playground and the number of swings being used
As the number of kids at the playground increases, the number of swings being used will increase. When both variables increase, they have a positive correlation. Thus, the situation in this problem has a positive correlation.
If we sketch a scatter plot for this situation, notice that the number of kids at the playground would be on the x-axis and the number of swings being used would be on the y-axis.
We can predict that if the number of kids at the playground increases, then the number of swings being used would also increase. Since this is only a sketch, it's not important exactly where our points are. Instead, we simply want to draw the points so our scatter plot has a line of best fit line with an upward of positive slope.
The image for this correlation is the first attachment.
Negative correlation
The amount of time Diaco spends goofing off in class and the grade Dicaco earns in the class
Notice that if the amount of time that Diaco spends goofing off increases, his grade is likely to decrease. When one variable increases and the other decreases, they have a negative correlation. Thus, the situation in this problem has a negative correlation.
If we sketch a scatter plot for this situation, notice that the time goofing off would be on the x-axis and Diaco's grade would be on the y-axis.
We can predict that if Diaco spends little or no time goofing off, his grade will be high and if he spends a lot of time goofing off, his grade will be low. Since this is only a sketch, it's not important exactly where our points are. Instead, we want to simply draw the points so our scatter plot has a line of best fit with a downward or negative slope.
The image for this correlation is the second attachment.
No correlation
The number of pets a family has and the number of kids in the family
Notice that in most cases, the number of pets a family has is not related to the number of kids in the family. Thus, there is no correlation between the number of pets a family has and the number of kids in the family.
If we sketch a scatter plot for this situation, notice that the number of pets a family has would be on the x-axis and the number of kids in the family would be on the y-axis.
Since there is no correlation between the variables, the data points will be spread out and there will be no best fit line.
The image for "no correlation" is the third attachment.