The height of a ball in feet is modeled by
[tex]y = - 16x {}^{2} + 72x[/tex]
where X is the time in seconds after the ball is hit. How long is the ball in the air?
(May I also get steps on how to solve these kind of questions please?)
The value of time of the ball in the air is,
⇒ 4.5 seconds
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The height of a ball in feet is modeled by the equation,
y = - 16x² + 72x
where, x is the time in seconds after the ball is hit.
Hence, For time of the ball in the air, we can plug y = 0 in above equation.
y = - 16x² + 72x
0 = - 16x² + 72x
Solve for x;
- 16x² + 72x = 0
- 4x (4x - 18) = 0
This gives,
4x = 18
x = 18/4
x = 4.5 seconds
Thus, The value of time of the ball in the air is,
⇒ 4.5 seconds
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Choose the justification for each step in the solution for equation 6X -9 equals 45
Which of the following shows that polynomials are closed under subtraction when polynomial 3x2 + 4 is subtracted from x2+ 2x + 5?
−2x2 + 2x + 1 may or may not be a polynomial
2x2 − 2x − 1 will be a polynomial
−2x2 + 2x + 1 will be a polynomial
2x2 − 2x − 1 may or may not be a polynomial
IF 3 QUARTS IS DIVIDE BY 16 PEOPLE HOW MANY OUNCES
Plzz help me im going to most more like this because im not understanding it
Kimela’s little sister likes to swing the playground. Yesterday, Kimela pulled the swing back and let it go. The swing traveled a distance of 9 feet before heading back the other way. Each swing afterward was only 70% as long as the previous one. Find the total distance the swing traveled.
To find the total distance traveled by the swing, we use the sum of an infinite geometric series formula with the first swing distance being 9 feet and a common ratio of 0.7. The sum equals 30 feet, indicating the total distance the swing traveled.
The question involves finding the total distance traveled by a swing that starts with an initial swing length and then decreases by a certain percentage with each subsequent swing. It can be classified as a series problem in mathematics, specifically dealing with a geometric series.
First swing distance is 9 feet. Each subsequent swing is only 70% of the previous, which means the ratio is 0.7. We want to find the sum of this geometric series. The total distance traveled by the swing is the sum of the distances traveled in each direction, so the swing's distances form an infinite series. To find the total distance traveled, we use the formula for the sum of an infinite geometric series:
S = [tex]\frac{a}{1-r}[/tex]
where S is the sum of the series, a is the first term, and r is the common ratio (in this case, 0.7). Plugging in the values, we get:
S = [tex]\frac{9 feet }{(1 - 0.7)}[/tex] = 9 feet ÷ 0.3 = 30 feet
Hence, the total distance traveled by the swing is 30 feet.
Simplify
(4y^2-13y+3)/2y^2-5y-12 multiplied by
(2y^2+9y+9)/16y^2-1) Multiplied by
(Y^2+3y-28)/y^2-9)
What is the median out of 55,85,95,100,105,122,158,162,165,174
A pencil costs $0.30 and a pen costs $0.50. You buy 10 pencils and the total Is $7.50. How many pens did buy?
Find the slope of the line.
A.) -7/2
B.) -2/7
C.) 7/2
D.) 2/7
A coin is flipped five times. Find the number of possible sets of heads and tails that have 2 heads. a. 0 c. 5 b. 1 d. 10
An object moves on a conveyor belt at a speed of 60 inches per second. Explain how you could conver the speed to feet per minute
Need help please....
A scatterplot has a negative, linear correlation. Which statement is true about the relationship between the x- and y-values?
A) As the x-values increase, the y-values tend to increase.
B)As the x-values increase, the y-values tend to decrease.
C)As the x-values decrease, the y-values tend to decrease.
D)As the x-values decrease, the y-values tend to vary randomly.
Answer:
B
Step-by-step explanation:
as the x values increase, the y values tend to decrease
For the Scatter plot negative the x-values increase, the y-values tend to decrease.
What is Scatterplot?A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nevertheless, calculus and linear algebra are also used to represent linear functions. The function notation is the only distinction. It is also important to understand an ordered pair expressed in function notation. When an is an independent variable on which the function depends, the expression f(a) is referred to as a function.
Given
A scatterplot has a negative, linear correlation.
Which is negative correlation means that with the increase/decrease in one variable the other variable also decrease/increase,
in which their is inverse proportion between two variables.
so values of x increase and values of y tend to decrease.
Hence option B is best suitable answer.
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how do I find the depth to this rectangular prism
Just say answer, no need to explain. Thanks
First Response gets brainliest!
Number 18 BTW!
Which table shows the function y = -2x + 4? A) x y 0 4 1 2 2 0 B) x y 1 25 2 26 3 27 C) x y 0 -4 1 -2 2 0 D) x y -1 6 -2 8 -3 12
I WILL MARK BRAINLIEST!!!!!!!!!!
What is the length of segment AB?
A. 10
B. 12
C. 13
D. 15
A businessman has 10 employees; his salary is equal to 6 times the average of employees' salary. If the 11 of them received a total of 64000 in a one year, what was the businessman's salary that year?
Write an equation in standard form for the line whose slope is undefined and and passes through (-6,4).
The equation represents a vertical line passing through the point (-6, 4) is x= -6.
When the slope is undefined, it means that the line is vertical.
In this case, the line passes through the point (-6, 4).
A vertical line has the equation of the form x = k, where k is a constant. Since the line passes through (-6, 4), the equation of the line in standard form is:
x = -6
This equation represents a vertical line passing through the point (-6, 4).
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Which of theses are log functions?
Paige rides her bike around town. She can ride one half of a mile in 1 30 ith of an hour. If she continues to ride at the same pace, how many miles could she travel in 1 hour?
vic is driving 450 miles to his grandma's house. if vic can drive 25 miles per gallon of gas,how many gallons if gas will he use round trip
the odometer in Mr Washington's car does not work correctly the odometer recorded 13.2 miles for his last trip to the hardware store but he knows the distance traveled is 15 Mi what is the percent error
A spinner that has 5 areas of equal size, blue, red, green, yellow, and purple, is spun 25 times. The results are shown in the table. Are all outcomes equally likely according to the results of the experiment?
Answer:
The answer is D.) No its seems more likely to spin a blue or red than a green or a yellow
Step-by-step explanation:
No, it seems more likely to spin a blue or red than a green or yellow. According to the probability model, red and blue are landed on more often.
No, all outcomes equally likely according to the results of the experiment seems more likely to spin a blue or red than a green or a yellow
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
Given , spinner that has 5 areas of equal size, blue, red, green, yellow, and purple, is spun 25 times.
The results are shown in the table.
Color Frequency
Red 18
Blue 11
Green 8
Yellow 4
Purple 19
Total spin recorded = 25
Probability that the next spin will land on red or green or purple will be P(A∪BC) = P(A) + P(B) + P(C)
P(A∪BC) = 0.3 + 0.134 + 0.32 =0.754
= 75%
No, all outcomes equally likely according to the results of the experiment seems more likely to spin a blue or red than a green or a yellow
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On a skiing trip there are five people but only three pairs of skis how many different groups of three could ski
How do you divide fractions
How I learned it is the same way as doing it normally
Can you help me list the following stocks and bonds in order from highest default risk to lowest default risk?
-A municipal bond in a city with a population of 150,000
-A common stock in a company under federal investigation
-A preferred stock in a 150-year old firm with good business practices
From highest to lowest default risk, the investments would likely be ranked as follows: common stock in a company under federal investigation, a municipal bond from a relatively small city, and preferred stock in a stable, long-established firm.
Explanation:The default risk of a financial investment is the likelihood that the issuer of the instrument will be unable to meet their obligations, thereby causing a default. From the highest to lowest default risk, the list would likely be:
Common stock in a company currently under federal investigation: This company has the highest default risk because the investigation could lead to penalties, disruptions in its business, or damage to its reputation.A municipal bond from a city with a population of 150,000: Though generally considered safe, these bonds can still go into default. The default risk here is lower than the stock under investigation because municipal bonds are backed by the taxes and revenue of the municipality, making them more stable than corporations which are dependent on their business performance.A preferred stock in a 150-year old firm with good business practices: This has the lowest default risk. Preferred stocks have a lower risk than common stocks because they receive dividends before common stock and have a higher claim on the assets in case of bankruptcy. The age of the firm and its good business practices also suggest stability and reduced risk. Learn more about Default Risk here:https://brainly.com/question/34906573
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1. Which graph models the equation y = 3.5x?
2. Determine the equation of the line given by the graph.
A)y = 3x + 2(Wrong, I'm retaking the test)
B)y = 3x − 2
C)y = 1/3x + 2
D)y = 1/3x − 2
3.Determine the equation of the line given by the graph.
A)y = 2/3x - 1
B)y = 3/2x - 1
C)y = -2/3x - 1(Wrong, retaking)
D)y = -3/2x - 1
4.Determine the equation of the line given by the graph.
A)y = 5/3x - 4
B)y = 3/5x - 4
C)y = -5/3x + 4
D)y = -3/5x + 4