Jessica is eating a bag of Sour Skittles. Her friend asks her to share, and Jessica throws over an extra bag. Her friend does not catch the bag, and it hits the ground. The distance from the ground (height) for the bag of candies is modeled by the function h(t)=−16t2+32t+4h(t)=−16t
2
+32t+4, where h(t) is the height (distance from the ground in feet) of the candies and t is the number of seconds the candies are in the air. Describe in a paragraph what the graph of this scenario would look like.

Answers

Answer 1

Answer:

A parabola opens downward with vertex at (1,20)  

The function that models the height of bag of candies is

The graph of this function is a parabola that opens downward.

To find the maximum height of the candy bag, we complete the squares to obtain the vertex form of the function.

Factor -16 to get;

Add and subtract the square of half the coefficient of t.

Factor the perfect square trinomial:

The vertex is (1,20)

This means the maximum height after 1 second is 20 feet.


Related Questions

A jewelry prism with a length of 9 inches and a height of 4 1/4 inches. The volume of the jewelry box is 283 1/2 cubic inches. What is the width of the box?

Answers

Answer:

volume = (length × Width × height)

(567/2) = (9×) × (17/4) × (w)

283.5 = 38.25w

w= 7.41inches

The function p(x) = –2(x – 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 apiece?

$15
$28
$172
$244

Answers

Answer:

the answer is 28

Step-by-step explanation:

i know this because i got it wrong and it told me

PLEASE I don't understand how to do this, 50 Points for anyone who solves it!
Check attachment below

Answers

Answer:

170°

Step-by-step explanation:

∠WYX is the inscribed angle and equal to half of the intercepted arc WX

mWX = 2m∠WYX = 2(42x + 1) = 84x + 2

Sum of arc measures add to 360°:

29x - 1 + 65x + 3 + 84x + 2 = 360178x + 4 = 360178x = 356x = 2

Plug in the value of x and find measure of the arc WX:

mWX = 84*2 + 2 = 170°

Find the missing side.

Need help please.

Need to know how to get the answer.

Answers

it is sin with 20= 16/x

I need help quick 5(3x-2)

Answers

Answer:

8x-10

Step-by-step explanation:

5 * 3x = 8x, 5* -2 = -10

-8 3/8-10 1/6 PLS HELP!!!!!!!!!!!!!!!!!!!!!

Answers

I think it's -18 13/24 ?

Answer:

-18 13/24

Step-by-step explanation:

Looking at the two numbers, we need to find a common denominator. To do that, list the multiplies of both numbers & find the first one that is in common.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120

The first multiple 8 & 6 share is 24, so we'll use that as our denominator

-67/8 - 61/6

-201/24 - 244/24

(-201 - 244)/24

Subtract 244 from -201 to get -445.

-445/24

Convert -445/24 into a mixed number.

-18 13/24 is the answer to -8 3/8 - 10 1/6.

Sascha deposited $600 in a simple interest saving account. In one year the value of the account increased to $621

Answers

Answer:

:)

Step-by-step explanation:

:)

what is the exponential equation

Answers

I am pretty sure it’s the second one

please help for brainliest, ONLY PART C!!!!
(PLS note that brainliest can only be given when there are 2 answers, if ur the only person that responded i cannot give u brainliest, this i s bc u can only b the brainliest answer out of 2, but you cant be the brainliest answer out of only u, if that makes sense]

Answers

Answer:

They played 4 games and paid $19

Step-by-step explanation:

4x + 3 = 2x + 11    (You basically have to solve for X)

4x - 2x = 11 - 3      (move like terms together)

2x = 8

x = (8/2)

x = 4

This means they had to play 4 games.

To get how much they paid, just plug 4 into any one of those given equations (They will both give the same answer).

4x + 3 ⇒ 4(4) + 3 = $19

To check if this is true,

2x + 11 ⇒ 2(4) + 11 = $19

Therefore, they paid $19

Answer:

$19 and played 4 games


The volume (V) of a cube is 216 cubic Inches. What is the surface area (S) of the cube?

Answers

Answer:

216in^2

Step-by-step explanation:

6*6*6=216

side length is 6

6^2=36

36*6=216

A quadrilateral has 4 congruent angles but does NOT have 4 congruent sides.
The quadrilateral must be a...
A) Rhombus
B) Square
C) Rectangle
D) None of the above

Answers

Answer:

rectangle

Step-by-step explanation:

in a rectangle, all 4 angles are 90° but only opposite sides are congruent

Mrs. Richardson wants to rent patio chairs for a party. Rick’s Rentals charges $3.50 per chair and $35 for delivery. Dean’s Discount Rentals charges $5 per chair and $20 for delivery. How many chairs would Mrs. Richardson need to rent in order for Rick’s Rentals to have the same price as Dean’s Discount Rentals?

11
76
75
10

Answers

Answer:

maby awser b.76

Step-by-step explanation:

tell me if this helps

which is the explicit formula for the sequence above?

Answers

Answer:

aₙ=5*4ⁿ⁻¹

Step-by-step explanation:

The common ratio is r=80/20=20/5=4

The explicit formula for a geometric sequence is aₙ=a₁*rⁿ⁻¹ where aₙ is the nth term, r is the common ratio, and a₁ is the first term.

Given:

a₁=5

r=4

Therefore, the explicit formula for the sequence is aₙ=5*4ⁿ⁻¹

PLS HELP AS SOON AS YOU CAN!
How many solutions does the equation 4y + 7 = 5 + 2 + 4y have?

A. One
B. Two
C. None
D. Infinitely many

Answers

Answer:

D) infinitely many solutions.

Step-by-step explanation:

1) Cancle 4y on both sides.

[tex]7 = 5 + 2[/tex]

2) Simplify 5 + 2 to 7.

[tex]7 = 7[/tex]

3) Since both sides equal, there are infinitely many solutions.

hence, the answer is option D) infinitely many solutions.

Hasina and her sister Jaqa ride their bikes to school.
Hasina starts first. The equations show the distance
each girl is from home m minutes after Jada starts.
What is the solution of the system of equations? What
does this mean in this situation?
Hasina: d = 300m + 1,500
Jada: d= 300m

Answers

The solution to the system of equations is d = 300m, which means that after Jada starts, both Hasina and Jada will be 300m away from home.

The solution to the system of equations is d = 300m. This means that after Jada starts, both Hasina and Jada will be 300m away from home. This is because the equation for Hasina states that she is 300m + 1500m away from home. Since Jada is starting second, she will only be traveling 300m from home. Therefore, the solution of the system of equations is d = 300m.

To solve the system of equations, we can use substitution. First, we can substitute 300m for d in Jada's equation. This gives us 300m = 300m, which is a true statement. We can then substitute this value for d in Hasina's equation, which gives us 300m + 1500m = 300m. To solve for m, we can subtract 1500m from both sides, giving us 0 = -1500m. To isolate m on one side, we can divide both sides by -1500, giving us -1 = m. This means that after Jada starts, both Hasina and Jada are 300m away from home.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

Use the figure to find the measure of <6. Plz help

Answers

Answer:

<6=82°

Step-by-step explanation:

jeoskzkkkkkkiwowowowoq

Answer: The answer is 82%

Step-by-step explanation: if you really pay attention and think its the same measurements.

For an art project, you are using a piece of cloth that is cut out in the shape of a right triangle. Find the area of the cloth. A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.

Answers

Answer:

[tex]A=17.99\ in^2[/tex]

Step-by-step explanation:

Given that,

A triangle with side lengths 6 inches, 6 inches, and 8.5 inches.

We need to find the area of the cloth.

The side lengths form an isosceles triangle. The formula for the area of the isosceles triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

Where

[tex]h=\sqrt{a^2-\dfrac{b^2}{4}}[/tex]

So,

[tex]A=\dfrac{1}{2}\times b\times \sqrt{a^2-\dfrac{b^2}{4}}[/tex]

Put a = 6 and b = 8.5

So,

[tex]A=\dfrac{1}{2}\times 8.5\times \sqrt{6^2-\dfrac{8.5^2}{4}}\\\\A=17.99\ in^2[/tex]

So, the area of the cloth is equal to [tex]17.99\ in^2[/tex].

5 What is the range of
y = -x?- 2x + 3?


A X54
B X > -4
Cy 54
Dy >-4

Answers

The answer is d
Yes the answer is d

Name four things that you can find on both a dot plot and box plot.

Answers

Answer:Dots, Lines, Box's, and Circles.

Step-by-step explanation: You're welcome

PLEASE HELP I WILL MARK YOU BRAINLIEST.

Answers

Answer and working out attached below. Hope this helps.

Answer: The answer is 8.808!

Step-by-step explanation: So you need to subtract 1.192 from 10

and its suppose to give you 8.808.

Josh went for a drive in his new car. He drove for 6 hours at a speed of 38.4 miles per hour. How many miles did he drive​

Answers

6hours
At 38.4 miles per hour
So times 6 times 38.4 will give you the miles so he drove 230.4

find the length of x please.

Answers

I think the answer is 8

Answer:

x = 7.5

I used the Pythagorean theorem:

[tex]c=\sqrt{x} a^2+b^2=\sqrt{x} 4.5^2+6^2=7.5[/tex]

Step-by-step explanation:

Have a nice day!

and can I maybe have brainliest? Thanks!

find the measurement K explain in detail how do you solved for measurement k or upload a picture of your detailed work

Answers

Answer:

m<K = 63

Step-by-step explanation:

Exterior angle thm:

6x - 9 + 4x + 7 = 118

10x - 2 = 118

10x = 118 + 2

10x = 120

x = 12

m<K:

6x - 9

6(12) - 9

72 - 9

63

No links!!!
Please help me

Answers

Answer:

B one

They only cross once on the graph

5. Chante was very cold. She wanted to wear her new jacket with the pink
flowers on it. Her mother said that it was negative seven degrees Celsius
but that it was going to be eleven degrees Celsius by afternoon. How many
degrees would the temperature have to rise to reach eleven degrees
Celsius? Convert 11 degrees Celsius to Fahrenheit.

Answers

Step-by-step explanation:

To find how many degrees the temperature would have to rise you need to do 11 - (-7) which is equal to 18. So the temperature rose 18 degrees.

To convert Celsius to Fahrenheit you need to do

(C * 9/5) + 32. In this case it would be (11 * 9/5) + 32 which results in 51.8 degrees Fahrenheit.

What is the relationship between a and b

A) vertical angles
B)complementary angles
C)supplementary angles
D)Non of the above

Answers

Answer:

Vertical Angles

Step-by-step explanation:

Any opposite angles caused by two intersecting lines are vertical angles.

Any two adjacent angles caused by vertical lines or two angles that equal 180° are supplementary angles.

Two angles that make 90° in all are complementary angles.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

find the measure of the missing angle

Answers

Answer:

28 i think [⩾▾⩽]

Step-by-step explanation:

since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.

hope this helps^^

have a great day :D

Right angle = 90 degrees
90 - 62 = 28

a = 28 degrees

A rock sinks 160 feet in 20 seconds. Find the average rate of change per second.

Answers

we need to find how many feet a rock sinks per second. assuming the rock falls at a constant rate we can divide each number by 20 to get 8 feet per second.

to check our worker can multiply our feet by 20, in which we get 160.

Question 5 (1 point)
Find the volume of the sphere. Round your answer to the nearest tenth.
Help me please

Answers

Answer: The closest one would be 3052.1

Step-by-step explanation:

Given a special license plate tag consists of 5 characters for a small country. The first
characters is a digit between 1-6. The second and third characters are letters that
can not repeat. The last two characters can be any digits. How many unique tags
are possible?
351,000 tags
405,600 tags
325,000 tags
390,000 tags

Answers

Answer:

D

Step-by-step explanation:

Remark

First characters:  6 choices

Second two characters: 25 * 26

Third set of 2: 10 * 10 = 100

6 * 25 * 26 * 100 = 390000

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