Work out the sheet here

Using quadratic function concepts, it is found that the system that models the height of the tennis ball and the height of the dog's mouth over time is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

It is given by:

h(t) = -16t² + v(0)t + h(0)

In which:

For the tennis ball, we have that v(0) = 18, h(0) = 4.5, hence the equation is:

h(t) = -16t² + 18t + 4.5.

For the dog jump, we have that v(0) = 21, h(0) = 1.5, hence:

h(t) = -16t² + 21t + 1.5.

Hence, the system is given by:

h(t) = -16t² + 18t + 4.5 and h(t) = -16t² + 21t + 1.5.

More can be learned about quadratic function concepts at https://brainly.com/question/24737967

Answer:

D) h = -16t2 + 18t + 4.5 and h = -16t2 + 21t + 1.5

Step-by-step explanation:

The next answer is, "the time at which the ball and the dog's mouth are at the same height"

Answer:

The answer is D. 272

Step-by-step explanation:

All you need to do is find out how many people can be seated at each table, then add them together.

16 x 8 = 128

12 x 12 = 144

128 + 144 = 272

272 students can fit in the cafeteria at once.

Answer:

if it's m^2-16, than it's B, (m+4)(m-4)

Step-by-step explanation:

remember (a+b)(a-b)=a^2-b^2, or m^2-4^2=m^2-16

Answer:

y = -5x + 9

Step-by-step explanation:

Slope-intercept form of an equation is:

y = mx + b

Since they gave you the slope and y-intercept, it is kind of a fill-in-the-blank problem. Nothing to calculate!

Fill in the slope for the m. Fill in the y-intercept for the b.

y = -5x + 9

Answer:

Box 2 has 3 times the volume of Box 1....

Answer:

Step-by-step explanation:

Answer:

x = 6.08 units

Step-by-step explanation:

For a right triangle

sin = opp leg / hyp

for this triangle    sin 34 =  3.4 / x    re-arrange to

                         x = 3.4 / sin34   = 3.4 / .5591 = 6.08

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Solution -

[tex]Area\: of \:equilateral \:triangle\: = \: \frac{ \sqrt{3} }{4} a {}^{2} \\ \\ \implies \frac{ \sqrt{3}}{4} \times 14^{2} \\ \\ \implies \: \frac{ \sqrt{3} }{\cancel4} \times \cancel{196} \\ \\ \implies \: \sqrt{3} \times 49 \\ \\ \implies \: \bold\blue{49 \sqrt{3} \:units {}^{2}} [/tex]

Further ,

value of [tex]\bold\orange{\sqrt{3} = 1.732}[/tex]

therefore ,

[tex]Area = 49 \times 1.732 \\ \\ \implies \: \bold\red{84.69 \: units {}^{2} \: (approx.)}[/tex]

hope helpful :D

Answer: ....

Ok done. Thank to me :>

Answer: x=20

Step-by-step explanation:

The two angles provided are vertical angles.

Vertical angles are equal in measurement.

This means we can set (3x+50) and (6x-10) equal to each other and solve for x

[tex]3x+50=6x-10[/tex]

Add 10 to both sides

[tex]3x+50=6x-10\\3x+50+10=6x-10+10\\3x+60=6x[/tex]

Subtract 3x from both sides

[tex]3x-3x+60=6x-3x\\60=3x[/tex]

Divide both sides by 3

[tex]\frac{60}{3} =\frac{3x}{3} \\20=x[/tex]

Answer:

Step-by-step explanation:

(3x + 50)° = (6x - 10)°

3x - 6x = -50 - 10

3x = -60

[tex]\frac{-3x}{-3}[/tex] = [tex]\frac{-60}{3}[/tex]

x=20°

Answer:

Step-by-step explanation:

Answer:

i think it's 14c5 sincce theres 5 colors to choose from .

The *graph of a function* (and not an equation) f(x) crosses the x-axis for any value of x such that f(x) = 0. We call x a root of f(x) in that case.

The simplest function with roots at both x = 3 and x = -8 is

f(x) = (x - 3) (x + 8)

since

f(3) = (3 - 3) (3 + 8) = 0 • 11 = 0

and

f(-8) = (-8 - 3) (-8 + 8) = -11 • 0 = 0

Answer:

B

Step-by-step explanation:

Answer:

Making money

Step-by-step explanation:

selling motorcycle for 2,535

After 2 years the motorcycle is worth:

y = 4721(0.65)^2

= 1994.6

2535> 1994.6

Answer:

Joel is selling a motorcycle for $2,535. He bought the

motorcycle two years ago and paid $4,721 for it. It depreciated

35% during the two years. Is he losing money or making money

on this sale

1/2

hope it helps..!!!!!

The probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have the probability P(R) of randomly removing a red bead is 20%.

Let's suppose the number of red beads is n(R)

[tex]\rm P(R) = 20\% \Rightarrow 0.20\\\\\rm \frac{n(R)}{15} = 0.20[/tex]

n(R) = 15×0.20

n(R) = 3

Number of yellow beads = 15 -3 = 12

The probability randomly removing a yellow bead:

[tex]=\rm \frac{12}{15}[/tex]

= 0.8 or 80%

Thus, the probability of randomly removing a yellow bead is 0.8 or 80% if the bag contains 15 beads that are either red or yellow the probability of randomly removing a red bead is 20%.

Learn more about the probability here:

brainly.com/question/11234923

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Answer:

d= 7.62

Step-by-step explanation:

(-1,3)(2,-4)

the formula of distance is-

[tex]d=\sqrt{((x_{2}-x_{1})^2 + (y_{2}-y_{1})^2)} \\\\d=\sqrt{(2+1)^2+(-4-3)^2}\\ d=7.62[/tex]

Answer:

32,708.3 cu. ft

Step-by-step explanation:

First we find the volume of a sphere with the same dimensions

is the formula for the volume of a sphere

substitute the radius with 25 because radius is half the diameter and use 3.14 for pie. The answer to that formula is 65,416.6

Since you're finding the volume of a hemisphere, divide the volume of the sphere in half

65,416.6/2= 32,708.3

Answer:

$76

Step-by-step explanation:

The Area of the tray ≈380 cm

Hope it helps.

Do comment if you have any query.

The fraction that shows the number of ounces of filling camilo uses in each empanadas is,

↪32 ounces

☆...hope this helps...☆

_♡_mashi_♡_

[tex] \bold{ \underline{SOLUTION }}[/tex]

Required Answer

Camilo uses ounce = 32

he put emandas = 0

each tray = 3

find how many ounce of filling camilo uses in each empandas

0 × 3 = 0

{and any number is cant divided by zero.}

Thus ,,

32 empanadas fill on each ounce

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I will assume that we are trying to find the slope between (2,-6) and (-9,-6)

The slope's equation ⇒  [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's set the variables:

    (x1, y1) --> (2, -6)

    (x2, y2) --> (-9, -6)

Now let's plug them in:

 [tex]Slope = \frac{-6--6}{-9-2} =\frac{0}{-11} =0[/tex]

Thus the slope of the line is 0.

Hope that helps!

Answer:

D

Step-by-step explanation:

a local minimum is a low point in the graph, but it isn't the lowest. and If u look at the given interval choices, the only one that has a local minimum Is D.

Answer:

Step-by-step explanation:

use pythagorean theorem a^2 + b^2 = c^2

a = 6, b = 8

6^2 + 8^2 = c^2

100 = c^2

c = -10

since it cant really be negative, the distance becomes 10.

Answer:

Step-by-step explanation:

The circumference formula is

The ratio of the radius to the circumference is

or

r : C = 1 : 6.28

Formula's:

circumference of any circle: 2πr

radius: r

Their ratio:

radius : circumference

r : 2πr

r : 2(3.14)r

1 : 6.28

Answer:

Going left to right:

2/5

1/5

1/4

13/10

Step-by-step explanation:

Answer:

Assuming

Step-by-step explanation:

If he has a wreck he will ASSUME the risk....his loss

Answer:

[tex]h = 16.1[/tex]

Step-by-step explanation:

[tex]sin A /a = sin B / b = sin C/c[/tex]   where A is angle and a is side opposite of angle

[tex]sin (49) / h = sin(41)/ 14[/tex]       cross-multiply

[tex]h*sin(41) = 14 * sin(49)[/tex]

[tex]h = (14*sin(49))/ sin(41)[/tex]

[tex]h = 16.1[/tex]