Mountain lions are capable of jumping high into the ait If mountain lion jumps 9 feet off the ground and then comes back down, its height above the ground varies according to the equation h = - 16t ^ 2 + 24t where t = 1 time in seconds and h = heig in feet The right side of this equation can be factored to get the equivalent equation h = - 8t * (2t - 3) What do the factors 2t - 3 mean in this situation?

Answers

Answer 1

The factors 2t - 3 represent the time it takes for the mountain lion to reach its highest point and return back to the ground.

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that,

The equation h = -16t² + 24t represents the height (h) of the mountain lion above the ground at any given time (t) in seconds.

Now, By factoring the equation as,

h = -16t² + 24t

h = -8t × (2t - 3)

Here, Factor 2t - 3 indicates the time it takes for the height (h) to reach zero, which corresponds to the mountain lion being on the ground.

So, when 2t - 3 equals zero, the height is zero, indicating that the mountain lion has returned to the ground.

Therefore, factors 2t - 3 help us determine the point in time when the mountain lion reaches its peak height and when it returns back to the ground.

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ4


Related Questions

Find the derivative of
y = 1/ (3x^3) with steps

Answers

Answer:

[tex] - 9 {x}^{ - 4} [/tex]

Step-by-step explanation:

[tex]y = \frac{1}{ {3x}^{3} } = {3x}^{ - 3} [/tex]

[tex]y = < - 3 \times 3 > {x}^{ - 3 - 1} \\ = - 9 {x}^{ - 4} [/tex]

50 points plzz help Combine the radicals .

Answers

Answer:

D) [tex]-2\sqrt{3}[/tex]

Step-by-step explanation:

[tex]5\sqrt{27} =15\sqrt{3} \\\\15\sqrt{3}-17\sqrt{3} =-2\sqrt{3}[/tex]

Which statement is true about the equation (x – 4)(x + 2) = 16? O The equation x - 4 = 16 can be used to solve for a solution of the given equation. O The standard form of the equation is x2 - 2x - 8 = 0. O The factored form of the equation is (x + 4)(x - 6) = 0. O One solution of the equation is x = -6. vity​

Answers

Answer:

The factored form of the equation is (x + 4)(x - 6) = 0

Step-by-step explanation:

(x - 4)(x + 2) = 16

[tex]x^{2} -2x - 8 = 16[/tex]

[tex]x^{2} -2x - 24[/tex] = 0

(x - 6)(x + 4) = 0

x = 6  or x = -4

Hamal has a new part time job bagging groceries after school. The equation y=10x+50 show the relationship between his hours of work (x) and the money in his bank account (y)
How much is Hamal earning per hour??

FREE POINTS!!!

Answers

Free points? What does that mean?

There were f frogs in a pond. 36 of the frogs hopped away. Write the expression that shows how many frogs are in the pond now.

Answers

Answer: f - 36

Step-by-step explanation:

Number of frogs in the pond originally was f.

Then 36 of them hopped away which means that these 36 have to be subtracted from the original f to find out the number of frogs still in the bond.

Expression is therefore:

= Number of frogs originally in the pond - Number of frogs that left

= f - 36

use distributive property to rewrite the expression 3x(x+4)​

Answers

Answer:

3x^2 + 12x

Step-by-step explanation:

3x(x +4)

3x^2 + 12x

- Multiply 3x * x = 3x^2

- Multiply 3x * 4 = 12x

Which Gives You 3x^2 + 12x  

solve for x
5 - 2x^2 = -15​

Answers

The answer is 3.16227766

Calculate the product below and give your answer in scientific notation.
(1.3 x 10-^2) x (0.05) = ?

Answers

Answer:

0.02549509756

nearest hundredth: 0.03

nearest thousandth: 0.025

nearest ten-thousandth: 0.0255

Step-by-step explanation:

1.3x10^-2 = 0.013

0.013x0.05= .00065

Square root of .00065 is 0.02549509756

Remove parentheses using the distributive property 9 ( x + 8)

Answers

Answer:

9x + 72

Step-by-step explanation:

Answer:

9x + 8

Step-by-step explanation:

Hope this helps have a nice day :)

*You don't have to read this part*

Parentheses can be removed by multiplying the outside factor to each term inside the parentheses using distributive property.

Which table represents a quadratic function?

Answers

Answer:

the first table

Step-by-step explanation:

step by step explanation:in a quadratic function, the second different are the same

Send
# 84 square inches
4
4. Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the total.
surface area of his cylinder in cubic inches? 8.7B-R
F
G
345.6 in?
251.3 in?
188.5 in
471.2 in?
H
J
Use Pi symbol on ca This assignment has been submitted and is no longer editable.
Client time: 4/30/2021, 1:14:30 AM (America/Chicago)
Server time: 4/30/2021, 1:14:30 AM (637.50)
Show Your We

Answers

Complete Question

Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the volume of his cylinder in cubic inches?

Answer:

471.24 cubic inches

Step-by-step explanation:

The formula for the volume of a cylinder =

πr²h

r = Radius = 5 in

h = Height = 6 in

Hence,

Volume = π × (5 in)² × 6 in

= 471.24 cubic inches

Therefore, the volume of his cylinder in cubic inches = 471.24 cubic inches

Which is the simplified form of p⁰?
O p
O 1/p
O 0
O 1​

Answers

Answer:

It is p = 1

Step-by-step explanation:

p⁰=1 because it is basically saying and when simplifying fractional exponents we can flip the bottom exponent up to the top if we change the sign, leaving us with : (p⁵-p⁵)=p⁰

The high school students who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. Students are 74% likely to tryout for softball; 27% likely to tryout for volleyball; 42% likely to tryout for tennis; and 88% likely to tryout for swimming. Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.If Event A = freshman or sophomore, what is Event A'?

Event A' = freshman or senior
Event A' = freshman or junior
Event A' = sophomore or senior
Event A' = junior or senior

Answers

Answer:

Event A' = Freshman or Junior

Step-by-step explanation:

The salary of the president and vice president were a total of $576,300 a year. If the president makes $203,700 more a year than the vice president, how much does the vice president make?
A. $166,300
B. $186,300
C. $390,000
D.$286,000

Answers

Answer:

The answer is C

A farmer sells 7.7 kilograms of apples and pears at the farmer's market.
1
4
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market? answer

Answers

ttbhbidek umm in 10th grade and idek but u can ask others

A recent article in Business Week listed the "Best Small Companies." We are interested in the current results of the companies' sales and earnings. A random sample of 8 companies was selected and the sales and earnings, in millions of dollars, are reported below. Sales ($million) 89.2 18.6 18.2 71.7 58.6 46.8 17.5 11.9 Earnings ($million) 4.9 4.4 1.3 8 6.6 4.1 2.6 1.7 Let sales be the independent variable and earnings be the dependent variable. (i) Determine the estimated regression equation and comment on the coefficient of X. (ii) For a small company with $50.0 million in sales, estimate the earnings. (iii) Calculate the standard error of estimate and comment on it. (iv) Find the coefficient of determination and interpret the result.

Answers

Answer:

(i) The estimated regression equation is;

[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X

The coefficient of 'X' indicates that [tex]\hat y[/tex] increase by a multiple of 0.0604 for each million dollar increase in sales, X

(ii) The estimated earnings for the company is approximately $4.7096 million

(iii) The standard error of estimate is approximately 29.34

The high standard error of estimate indicates that individual mean do not accurately represent the population mean

(iv) The coefficient of determination is approximately 0.57925

The coefficient of determination indicates that the probability of the coordinate of a new point of data to be located on the line is 0.57925

Step-by-step explanation:

The given data is presented as follows;

[tex]\begin{array}{ccc}Sales \ (\$million)&&Earning \ (\$million) \\89.2&&4.9\\18.6&&4.4\\18.2&&1.3\\71.7&&8\\58.6&&6.6\\46.8&&4.1\\17.5&&2.6\\11.9&&1.7\end{array}[/tex]

(i) From the data, we have;

The regression equation can be presented as follows;

[tex]\hat y[/tex] = b₀ + b₁·x

Where;

b₁ = The slope given as follows;

[tex]b_1 = \dfrac{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}{\Sigma(x_i - \overline x)^2}[/tex]

b₀ = [tex]\overline y[/tex] - b₁·[tex]\overline x[/tex]

From the data, we have;

[tex]{\Sigma(x_i - \overline x) \cdot (y_i - \overline y)}[/tex] = 364.05

[tex]\Sigma(x_i - \overline x)^2}[/tex] = 6,027.259

[tex]\overline y[/tex] = 4.2

[tex]\overline x[/tex] = 41.5625

∴ b₁ = 364.05/6,027.259 ≈ 0.06040059005

b₀ = 4.2 - 0.06040059005 × 41.5625 ≈ 1.68960047605 ≈ 1.69

Therefore, we have the regression equation as follows;

[tex]\hat y[/tex] ≈ 1.6896 + 0.0604·X

The coefficient of 'X' indicates that the earnings increase by a multiple of 0.0604 for each million dollar increase in sales

(ii) For the small company, we have;

X = $50.0 million, therefore, we get;

[tex]\hat y[/tex] = 1.6896 + 0.0604 × 50 = 4.7096

The estimated earnings for the company, [tex]\hat y[/tex] = 4.7096 million

(iii) The standard error of estimate, σ, is given by the following formula;

[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n - 1}}[/tex]

Where;

n = The sample size

Therefore, we have;

[tex]\sigma =\sqrt{\dfrac{6,027.259 }{8 - 1}} \approx 29.34[/tex]

The standard error of estimate, σ ≈ 29.34

The high standard error of estimate indicates that it is very unlikely that a given mean value within the data is a representation of the true population mean

(iv) The coefficient of determination (R Square) is given as follows;

[tex]R^2 = \dfrac{SSR}{SST}[/tex]

Where;

SSR = The Sum of Squared Regression ≈ 21.9884

SST = The total variation in the sample ≈ 37.96

Therefore, R² ≈ 21.9884/37.96 ≈ 0.57925

The coefficient of determination, R² ≈ 0.57925.

Therefore, by the coefficient of determination, the likelihood of a new introduced data point to located on the line is 0.57925

(7y - 23)
(23x - 16)
(8x – 21)

In need of help ASAP

Answers

Hey it will be 7y -23 :$

What is the volume of this composite solid?

Answers

Answer:

A: 64 cubic meters

Step-by-step explanation:

Multiply 7m, 2m, and 4m. You get 56

Then for the smaller cube multiply 2, 2, and 2

solve with solution
1. A cow is tied to a tree using a rope. The rope measures 5m. How many
meters can the cow walk around the tree?

Answers

Answer:

It sounds like you want the circumference of a circle with a 5m radius.

C = 2πr = 2(3.14)(5) = 31.4 m

An overnight Train left at 21 55 on a journey that took 9 h 18 min. Given that the train departed on a monday find the day and the time at which it arrived at its destination

Answers

Answer:

wait do i have to multiply??

Step-by-step explanation:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

uhhhhhhh

Step-by-step explanation:

Answer:

about 314 units

Step-by-step explanation:

i was confused but i hope this helps

State if the three numbers can be the measures of the sides of a triangle,
6,8,9
No
Yes

Answers

No since normally the sides would be the same length. Don’t press the links!

The box plots summarize the attendance for the spring musical and the fall musical. Each musical was performed for six evenings.

Answers

I can’t answer bc there is nothing sorry

answer plz i really need it

Answers

answer

root 15

Step-by-step explanation:

root 15 =3.87 and it is closer to root 4

2x^2-5x+1=4 factor step by step please

Answers

Answer in screen shot below

Trisha helped clean up her neighborhood by picking up plastic she collected 3/4 pound of plastic the first day and 1/6 pound of plastic the second day how much more trash did she collect the first day than the second day?

Answers

She collected more 1/3 pounds on the first day

The volume of a cylinder is 8T cubic centimeters. The
radius and the height are equal. What is radius of the
cylinder? Explain how you know.

Answers

i’ve assumed that T= pi

Please help me to do this question with steps

Answers

Answer:

x = 71°

Step-by-step explanation:

Segments of tangents from the same external point are congruent, that is

AT = BT

Then Δ ABT is isosceles with base angles congruent , so

x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71°

Jacob sells homemade skateboard decks for a profit of $27 per deck. He is considering switching to a new type of material that will increase his profit, as expressed by the function y = 32x, where x is the number sold and y is the amount of profit.

How many more dollars will Jacob earn on each skateboard deck if he switches to the new material? Explain how you found your answer. (5 points)

Answers

They had 30 I know this because I did 37 times 32x divided my y plus 15

A tree that is 8 feet tall is growing at a rate of 2 feet each year. A tree that is 16 feet tall is growing at a rate of 1 1/2 feet each year. Enter the number of years it will take the two trees to reach the same height

Answers

Answer: 8.

This is because for every 2 years the 10 foot tree will grow one foot and for every year the 8 foot tree will grow one foot.

It takes 8 years fort the 10 ft tree to be:16

This is because you do:

2+2+2+2+2+2+2+2=16

It takes 8 years for the 8 food tree to be: 16

You do:

2+2+2+2+2+2+2+2=16 and we added it 8 times and in 8 years it will be 16

- - Hope this helps! - -

Heart or brain me!

Other Questions
Can ready to-eat food be eaten cold? the uterus is a hollow, ________-shaped, muscular organ located in the anterior portion of the pelvic cavity, between the sacrum and the symphysis pubis, above the bladder and in front of the rectum. Who is at fault in Animal Farm? Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)an =nsqr root35 + 3nlim n[infinity] an = brainteaser there are 5 people sitting arund a table with different birthdays, what is the probability they sit in the right order both clockwise and counter clockwise Can fish survive being frozen in ice? Somebody pls helpThe maximum capacity of a theater is 471 people. So far, 254 people are seated in the theater. If p represents the number of people that can still enter the theater, write an inequality that represents the situation. Which of the following is not a typical effect of vendor managed inventory (VMI)?O increased processing speed for manufacturers and distributorsO fewer data entry errors for manufacturers and distributorsO reduced planning and ordering costs for distributorsO increased stock-outs for distributors What is the purpose of an in-text parenthetical citation? What is the value of discriminant X 4x +4 0? The professor asks his class for three volunteers to help him box up books. everyone is silent, and katcha looks around the room to see if anyone is going to volunteer first. then maybe she'll raise her hand. which term describes what katcha was doing?a. conformity b. bystander effect c. diffusion of responsibility d. social facilitation Fill in the necessary reagents or products, from A through G, to complete each of the following reactions in the formation of 1-phenyl-2-butanol. A through G are single reagents or products, excluding any acid workup. A PB PBr3 B C D CH2N2 NaBH4 followed by H30+ DIBAL-H -78 C father said to me let me car at the stotion Is 4 a linear expression? Danielle received the following scores on her essay tests:84, 85, 83, 86, 80, 85, 86, 88, 89, 86, 83What is the mean of her scores?85.584.58685 how can we find out if a clustering method in unsupervised learning is a good one? group of answer choices the svm accuracy on data has the accuracy close to 100% the predicted labels are equal to actual labels the distances between different clusters are minimum the sum of distances between objects in the same cluster are minimum What are the four types of interdependence? Is 7 3x is a factor of 3x 7x? need help- Given the line 3x-4y+24=0, determine the value of a, and b if the points (8.3,a) and (b, -10.2) are on the line. Draw (on paper) a Lewis diagram for CH3CH2CH2OH Use your diagram to answer the following questions. The number of C-H bonds The number of O-H bonds is The number of C-C single bonds The number of C-O single bonds The total number of lone pairs