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:

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Related Questions

A bakery sells chocolate cupcakes and mocha cupcakes. One day it sold 153 chocolate
and 187 mocha. What percent of the cupcakes sold that day were chocolate?

Answers

Answer:

45% of the cupcakes baked on that day were chocolate flavored.

Step-by-step explanation:

Hey there!

We're given that the bakery sold 153 chocolate cupcakes and 187 mocha cupcakes.

Let's find the total number of cupcakes baked in a day.

[tex]153 + 187 = 340[/tex]

Now, we need to find the ratios of the cupcakes. Of the 340 cupcakes baked, 153 were chocolate flavored. Therefore, we can create a ratio between the two values and find the percentage.

Step 1: Define Values

153 chocolate cupcakes baked340 cupcakes in total

Step 2: Create Ratio and Simplify

[tex]\displaystyle \frac{\text{153 chocolate cupcakes}}{\text{340 total cupcakes}} = \frac{153}{340} = 0.45[/tex]

Step 3: Convert from Decimal Form to Percentage Form

[tex]0.45 \times 100\% = 45\%[/tex]

Therefore, we have determined that 45% of the cupcakes baked on that day were chocolate flavored.

GameStop pays $12.00 for each Minecraft video game. They markup each game by 40%. What is the selling price?

Answers

Answer:

$16.80

Step-by-step explanation:

12 * 1.4 = 16.8

Answer:

$16.80

Step-by-step explanation:

Find 40 % of 12 by multiplying .05*12 to get $4.80. Add the original price $12 and the price increase $4.80 to get the new selling price of $12

can you simplify -3(x+7)

Answers

Answer:-3x-21

Step-by-step explanation: use the distributive property

Answer:

=−3x−21

Step-by-step explanation:

−3(x+7)

=(−3)(x+7)

=(−3)(x)+(−3)(7)

=3x-21

Will give brainlyest to the first correct answer! Easy points

Answers

Answer:

its most likely A

Step-by-step explanation:

Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A

I did this problem almost 2 years ago and I’m pretty sure it’s A

Solve the 4 letter code please I need it before midnight, it's not a word.

Answers

Answer:

1. E

2. A

3. B

4. I

Step-by-step explanation:

EABI, try it out, comment if i get it right, i am so f**cking tired right now so sorry if its wrong

Marking BRAINLYEST need help ASAP

In the diagram, the measures of 3 and 6 are 50°. The measure of 5 is
130°. Are lines cand d parallel?
1/2
3 4
d
5
6
7
8
O A. Yes, because 5 and 6 are supplementary
B. No, because 6 and 5 are not congruent.
O C. Yes, because 3 and 6 are congruent.
D. No, because 3 and 5 are not supplementary

Answers

Answer:

c

Step-by-step explanation:

The solution is,  (c)  Yes, because angle 3 and angle 6 are congruent.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

given that,

Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.

we have,

We expect angles 5 and 6 to be supplementary because they are a linear pair.

That fact says nothing about the relationship of line d to line c.

Hence, The solution is,  (c)  Yes, because angle 3 and angle 6 are congruent.

To learn more on angle click:

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Please help I would appreciate it

Answers

Answer:

Lower and upper quartiles(B)

Step-by-step explanation:


HELLLPPP!!!
What is the equation of the parabola with focus(1, 1/2)
and directrix y = 3?
A. Y=x^2+17x-1
B. Y=-3/16x^2
C. Y=1/5x^2+2/5x+31/20
D. Y=-3/5x^2-14/31x+71/16


Answers

Given:

Focus of a parabola = [tex]\left(1,\dfrac{1}{2}\right)[/tex]

Directrix: [tex]y=3[/tex]

To find:

The equation of the parabola.

Solution:

The equation of a vertical parabola is:

[tex]y-k=\dfrac{1}{4a}(x-h)^2[/tex]            ...(A)

Where, [tex](h,k)[/tex] is center, [tex](h,k+a)[/tex] is focus and [tex]y=k-a[/tex] is the directrix.

On comparing the focus, we get

[tex](h,k+a)=\left(1,\dfrac{1}{2}\right)[/tex]

[tex]h=1[/tex]

[tex]k+a=\dfrac{1}{2}[/tex]           ...(i)

On comparing the directrix, we get

[tex]k-a=3[/tex]              ...(ii)

Adding (i) and (ii), we get

[tex]2k=\dfrac{7}{2}[/tex]

[tex]k=\dfrac{7}{4}[/tex]

Putting [tex]k=\dfrac{7}{4}[/tex] is (i), we get

[tex]\dfrac{7}{4}+a=\dfrac{1}{2}[/tex]

[tex]a=\dfrac{1}{2}-\dfrac{7}{4}[/tex]

[tex]a=\dfrac{-5}{4}[/tex]

Putting [tex]a=\dfrac{-5}{4},h=1,k=\dfrac{7}{4}[/tex] in (A), we get

[tex]y-\dfrac{7}{4}=\dfrac{1}{4\times \dfrac{-5}{4}}(x-1)^2[/tex]

[tex]y-\dfrac{7}{4}=\dfrac{-1}{5}(x^2-2x+1)[/tex]

[tex]y-\dfrac{7}{4}=-\dfrac{1}{5}(x^2)-\dfrac{1}{5}(-2x)-\dfrac{1}{5}(1)[/tex]

[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x-\dfrac{1}{5}+\dfrac{7}{4}[/tex]

On further simplification, we get

[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{35-4}{20}[/tex]

[tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{31}{20}[/tex]

Therefore, the equation of the parabola is [tex]y=-\dfrac{1}{5}x^2+\dfrac{2}{5}x+\dfrac{31}{20}[/tex].

Note: Option C is correct but the leading coefficient should be negative.


A six-sided fair mmber cube is rolled once. What is the probability that the result is a 2 or a 5?
Write answer as fraction in its simplest form.

Answers

Answer:

1/3

Step-by-step explanation:

this is because you have six sides and two options to get and then 2/6 is 1/3

What’s the equation

Answers

Answer:

The equation of the line is;

y = 0.8x + 1

Step-by-step explanation:

Here, we want to get the equation of the line

The general equation of a straight line is;

y = mx + b

m

is the slope and b is the y-intercept

The y-intercept is simply the point on the y-axis where the line crosses the y-axis

we have this point at (0,1)

so we have;

y = mx + 1

to get m, we get any other point on the line and substitute its coordinates before we solve for m

we can identify the point (-2.5, -1)

substituting the coordinates

-1 = -2.5(m) + 1

-2.5m = -1-1

-2.5m = -2

m= 2/2.5

m= 0.8

so we have the equation of the line as;

y = 0.8x + 1

what does f(2x+16) mean, id f at 2x
+16

Answers

Equation f(2x+16) multiply each term in the parentheses by f

2fx+16f

PLS HELP!!!!!
which polynomial is a perfect square trinomial?

A. 49x^2 - 28x + 16
B. 4a^2 - 20a + 25
C. 25b^2 - 20b - 16
D. 16x^2 - 24x - 9

Answers

Answer:

B

Step-by-step explanation:

We have to find which trinomial has:

1) two terms that are the perfect square of two numbers

2) a terms that is the double product of the two numbers

the first condition is satisfied by A and B, but only B satisfied the second., in fact the trinomial can be rewrite as: (2a-5)^2

Options C and D are traps because the square of a number can’t be negative

The measures of angles X and Y are the same, x degrees. The measure of angle Z is twice the measure of angle Y. What is the measure of angle Y


Pls help me‼️‼️‼️‼️‼️

Answers

Don’t believe this link

Y = ½(Z)

Step-by-step explanation:

X = Y = x°Z = 2Y

Y = ½(Z)

What type of graph would have the title, "Mile Time of a Typical 5th Grade Student

Answers

Bar graph or plot graph

Answer:

bar graph or line plot

Step-by-step explanation:

Help me fast please

Answers

Answer:

The answer is the third option, 20.

20
It proportional
12/15 = x/25
Solve for x
4/5 = x/25
100 = 5x
20 = x

in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?

Answers

Answer:

20%

Step-by-step explanation:

465 - 372 = 93

93/465 = 0.2

0.2 × 100 = 20

Hope this helps !

HELP MEEEEEEEEEEEE 3.0

Answers

Answer:

I think that J would be the answer , It is more reliable than the left ones .

Hope it was helpful , good luck ^^

J would be the correct answer

Please help me!
No links!!! Please!

Answers

Answer:

d = -3

Step-by-step explanation:

-3 -9 = -12

-12/6

= -2

What is the length of the unknown leg in the right triangle?

Answers

Answer:

15m

Step-by-step explanation:

a^2 + b^2 = c^2

a=?

b = 20m

c = 25m

a^2 + (20m)^2 = (25m)^2

a^2 + 400m^2 = 625m^2

a^2 = 625m^2 - 400m^2 = 225m^2

a = 15m

Answer:

The answer is 15

Step-by-step explanation:


Which mixed number represents point D?
A)3 1/10

B)2 9/10

C)2 10/10

D) 3 2/10

Answers

Answer:

1/10

Step-by-step explanation:

Mr. Bond wrote the inequality –46 < –34. Write a sentence about a real-life situation that compares the values from his inequality.

Answers

Answer:

We have the inequality:

-46 < -34

This naturally happens because -46 is at the left of -34 in the number line, meaning that -46 is smaller than -34.

An example to see this is suppose that these numbers represent money.

Because the numbers are negative, then these represent money you owe.

-46 means that you owe $46

-34 means that you owe $34

Then if we are counting the money you have, owing $34 means that your money is larger than if you owe $46.

Another example is if these numbers represent distance under the surface of the water.

-46 means that you are 46 ft under the surface of the water

-34 means that you are 34 ft under the surface of the water.

Clearly, in the second case your altitude is higher than in the first one, so again, the inequality is true.

I have to graph these. I don't understand!!! please just tell me if it's a closed circle and where I have to put it​

Answers

Answer:

Okay so im gonna put the pictures here, it might look like spam but i promise you its not

Step-by-step explanation:

The numbers are in order from x > 7 to x < 2

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

In two similar triangles find the ratio of corresponding sides if the areas are 50cm²and 98cm²​

Answers

Answer:

5:7

Step-by-step explanation:

The areas of two triangles are 50cm²and 98cm²​.

We need to find the ratio of corresponding sides. It can be calculated as follows :

[tex]\dfrac{s_1}{2_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{50}{98}}\\\\=\sqrt{\dfrac{25}{49}}\\\\=\dfrac{5}{7}[/tex]

So, the ratio of corresponding sides are 5:7.

Who can solve and attach a pic so I can write down how I got the answer

Answers

do NOT click on that file! it’s a virus :( ^

The growth rate of Las Vegas is about 3.5% per year. If the population in 2010 was 1.35 million, what would be the expected population in 2020?

Answers

Answer:

Expected population=  1,904,308 people

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,350,000

Number of periods (n)=  10 years

Growth rate (g)= 0.035 per year

To calculate Future Value (FV), we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,350,000*(1.035^10)

FV= 1,904,308 people

WHAT IS THE RANGE FOR THIS GRAPH?

PLEASE HELP

Answers

Answer:

[0,5] or 0≤ y≤ 5

Step-by-step explanation:

Not 100% certain but all the values are included even though there is an open circle

Which expression has a quotient of about 7?

Answers

Answer:

36/5

Step-by-step explanation:

find the value of x of triangle ​

Answers

Answer:

By the math, x = 10°

Here's my issue though, the top angle is x - 15°. That would be an angle of -5° which is impossible.

Step-by-step explanation:

x - 15 + 2x + 25 + 180 - 4x = 180°

combine like terms:

3x - 4x + 190 = 180°

-x = -10°

x = 10°

Can someone help only answer if you know and scam links are getting reported

Answers

Answer:

12 cubic centimeter blocks are in the bottom layer

X-9/2=12
X=?
Find what does x equal to.

Answers

Answer:

x = 33

Step-by-step explanation:

cross-multiply:

x-9 = 2(12)

x-9 = 24

x = 33

Answer:

The answer is 33.

Step-by-step explanation:

1) Multiply both sides by 2.

[tex]x - 9 = 12 \times 2[/tex]

2) Simplify 12 × 2 to 24.

[tex]x - 9 = 24[/tex]

3) Add 9 to both sides.

[tex]x = 24 + 9[/tex]

4) Simplify 24 + 9 to 33.

[tex]x = 33[/tex]

Hence, the answer is 33.

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