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

An algebra class has 8 students and 8 desks. For the sake of variety, students change the seating arrangement each day. How many days must pass before the class must repeat a seating arrangement?

Suppose the desks are arranged in rows of 4. How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats ?

What is the probability that Larry, Moe, Curly and Shemp are sitting in the front seats? ​

Answers

Answer:

.0025%

Step-by-step explanation:

Pilar used five reusable shopping bags on a recent purchase she made at a grocery store. Each bag decreased the amount she spent by 15 cents. What was the change to the amount Pilar spent at the grocery store by using the reusable bags?

Answers

Answer:

-25 is the correct answer

Step-by-step explanation:

hope this helps:)

Mara and Jonathan each created a sequence of numbers using a rule. Both sequences start with 0 as the first number. Mara’s rule is “add 3,” and Jonathan’s rule is “add 5.” Which statement about their sequences is true?

Answers

Answer:

Both can be true irrespective of the common difference.

If the measure of angle 3 is 60 degrees. What is the measure of angle 5? Why?

Answers

60 degrees because three and five have the same angle

in a test, a hybrid car drove 4952 yards on 1 cup of gasoline. What is this rate in miles per gallon ?

Answers

Answer:45

Step-by-step explanation: There’s 16 cups in a gallon and the car goes 4952 yards per cup. You have to multiply the equivalency of a gallon by the yards to get your total distance in yards. Then, you would have to divide your total in yards (79,232) by the yards in a mile (1760). Your ratio would be around 45 miles per gallon.

PLEASE HELP ASAP ANSWER THIS QUESTION AND I WILL GIVE BRAINLIEST!! NO LINKS PLS

Answers

Answer:

3. The ages of people eating in a family restaurant. The ages of people who watch football.

Step-by-step explanation:

Hope this helps<D

It creates a gap because there's a restaurant but then there's age of people who watches football.

please help i’ll give brainliest

Answers

Answer:

Fungi and bacteria

Hope that helps!

Step-by-step explanation:

Answer:

fungi and bacteria

Step-by-step explanation:

Please Help and NO LINKS PLEASE
Three times the sum of two numbers is 15. One of the numbers is 9 more than one-third of the other number.
a. How can you use a system of equations to find the two numbers?
b. What are the two numbers? Show your work.

Answers

Answer:

8, - 3

Step-by-step explanation:

one number is x, the other is y

x  = 1/3y + 9

=> (1/3y + 9 + y) × 3 = 15

=> y + 27 + 3y = 15

=> 4y = 15 - 27

=> 4y = - 12

=> y = - 3

x  = 1/3(- 3) + 9 = 8

At the craft store, Janice bought a bag of green and yellow marbles. She received 14 green marbles and 11 yellow marbles. What percentage of the marbles were green?

Answers

Answer: 56%

Step-by-step explanation:

Since Janice bought a bag of green and yellow marbles and she received 14 green marbles and 11 yellow marbles, the total number of marbles will be:

= 14 + 11 = 25 marbles

Number of Yellow marbles = 11

Number of Green marbles = 14

Total number of marbles = 25

The percentage of the marbles that were green will be:

= Number of Green marbles / Total marbles × 100

= 14/25 × 100

= 14 × 4

= 56%

Brenda took a math quiz last week. She got 21 problems correct and 4 problems incorrect. What percentage did Brenda get correct?

Answers

Answer:

84%

Step-by-step explanation:

Add the total number of questions (21+4 = 25)

divide 25 by 21

25/21 = 0.84

Multiply 0.84 by 100 to change it to a fraction

0.84*100 = 84%

The percentage that Brenda got correct was 84 percent

Mhanifa please help im almost done!!

Answers

Answer:

Q 1

Sum of interior angles of a pentagon:

4x + 60 = 180(5 - 2)4x + 60 = 5404x = 480x = 120Q 6

Midsegment is half of the sum of the bases:

(2n - 2 + 4n + 6)/2 = n + 12(6n + 4)/2 = n + 123n + 2 = n + 122n = 10n = 5

Midsegment is:

5 + 12 = 17

Correct choice is D

Q 3m∠1 = 90 as diagonals are perpendicularm∠2 = 41 as alternate interior angles

∠3 is complementary with ∠2:

m∠3 = 90 - 41 = 49

None of the choices is correct

Grandma Gertrude's Chocolates, a family owned business, has an opportunity to supply its product for distribution through a large coffee house chain. However, the coffee house chain has certain specifications regarding cacao content as it wishes to advertise the health benefits (antioxidants) of the chocolate products it sells. In order to determine the mean % cacao in its dark chocolate products, quality inspectors sample 36 pieces. They find a sample mean of 55% with a standard deviation of 4%. The correct value of t* to construct a 90% confidence interval for the true mean % cacao is ________.

Answers

Answer:

t-value = 1.690

Step-by-step explanation:

We are given;

Sample size; n = 36

DF = n - 1

DF = 36 - 1

DF = 35

Confidence level = 90%

However, from the first table I attached, we see that the critical significance level of a 90% Confidence level is 0.05

Thus, in the second table, looking at a DF of 35 and significance level of 0.05, we have a critical t-value = 1.690

Which equation below can be used to determine the missing angle in the triangle?
Select one:

x+75+60=180

75x+60x=180

75+60=x

x+75+60=90

Answers

Answer:You can use this fact to solve for the missing angle of a triangle. ... Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees. ... Let x = the degree measure of each angle.

Step-by-step explanation:

Help please thanks bye

Answers

Answer:

I got 51 cm^3

Step-by-step explanation:

Hope this helps you, Im in a rush though but if you need an explanation just let me know

Which of the following phrases are inequalities?

Answers

Answer:

B, C, and D

Step-by-step explanation:

They have an either a less than sign ( < ) or a greater than sign ( > ).

What is the area with the length of 5/8 ft and a width of 4/9 ft

Answers

Answer:

[tex]area \: = length \times width \\ = \frac{5}{8} \times \frac{4}{9} \\ = \frac{20}{72} \\ = \frac{10}{36} {ft}^{2} [/tex]

Hope this helps youCan I have the brainliest please?

The area of a rectangle is x^2-6x-16. If the width is x+2, what is the length?

Answers

Answer:

8

Step-by-step explanation:

If the point (a, b) is
located in Quadrant I, in which Quadrant is
the point (a, -b) located?​

Answers

Answer:

Quadrant IV

Step-by-step explanation:

In Quadrant I the numbers are both positive.

In Quadrant II the number on the x-axis is negative while the number on the y-axis is positive.

In Quadrant III both numbers are negative.

In Quadrant IV the number on the x-axis in positive while the number on the y-axis is negative.

Since your plot point was (a, -b), the number in the y-axis is negative meaning it's located in Quadrant IV.

Find the total surface area of the net bellow
1. 102.4 cm2
2. 357.4 cm2
3. 22.4 cm2
4. 3502.4 cm2

Answers

Answer: 102.4 cm^2

Step-by-step explanation:

find the surface area of all of the rectangles

7.2(4)=28.8

7.2(2)=14.4

7.2(4)=28.8

7.2(2)=14.4

4(2)=8

4(2)=8

add

28.8+14.4+28.8+14.4+8+8=102.4

In which 3 statements below will the number 24 correctly fill in the blank? A) 2 feet = ___ inches B) 24,000 grams = ___ kg C) 3 gallons = ___ pints D) ___ pints = 12 cups E) 240 mg = ___ grams

Answers

Answer:

A,B and C.

Step-by-step explanation:

(A) 1 feet = 12 inches

So, 2 feet = 2 × 12 inches = 24 inches

(B) 1,000 grams = 1kg

So, 24,000 grams = (24,000÷ 1,000) = 24kg

(C) 1 gallon = 8 pints

So, 3 gallons = 3 × 8 pints = 24 pints

(D) 1 pints = 2 cups

So, 12 cups = (12÷ 2) = 6 pints

(E) 1 gram = 1000 mg

So, 240 mg = (240 ÷ 1,000) = 0.24 gram

Hence, A,B and C correctly fill with 24.

What fact will help you to find the measure of angles B and C in the diagram shown?
A) An equilateral triangle has 3 congruent angles.
B)
The height of an isosceles triangle bisects the base.

C) The base angles of an isosceles triangle are congruent.
D)
The midsegment of an isosceles triangle is parallel to the base

Answers

Answer:

The Answer is C

Step-by-step explanation:

Look at B and C you can see that they have a line on each angle. Also, know that isosceles have two congruent sides. So when looking at this triangle we can infer that C is our best bet.

GIVING BRAINLIEST !!!

Which images below are scalene triangles?


Triangles A and D
Triangles B and D
Triangles A and C
Triangles C and D

Answers

Answer:

c and d

Step-by-step explanation:

.............. just for filling 20 characters

Answer:C AND D

Step-by-step explanation:

here is the question again

Answers

Answer:

2

Step-by-step explanation:

f(12)

x=12-2 =10

10/5=2

Which measure represents the volume of the semi-truck trailer shown below? performance maters

Answers

Answer:

The answer is 5,512.

Step-by-step explanation:

Multiply 53 times 13 times 8

Answer:

kbjlhbkhhhiljb jkbhiphouhkvguohyuhlj vguhbkhuobjk

Step-by-step explanation:

set up proportion and solve:

3 packages of blueberries cost $9. How many packages can you buy for $18?

Answers

Answer:

3/9=3

3*18=54

you can buy 54 packages

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

3/9=x/18

3/9=1/3

so 1/3=x/18

cross product

3*x=1*18

3x=18

x=18/3

x=6

What's the value of
[tex] \sqrt{25 \times 1} [/tex]

Answers

Answer:

5

Step-by-step explanation:

[tex]\sqrt{25*1}= \sqrt{25}[/tex]

[tex]\sqrt{25}=5[/tex]

Square root of 25 is 5, because 5x5=25.

9.
x, y and z are three different numbers.
x + y + z = 100
The mean of x, and y is 40.
The mean of y and z is 35.

Answers

9.

x, y and z are three different numbers.

x + y + z = 100

The mean of x, and y is 40.

The mean of y and z is 35.

the means of x, y is that like similar to coordinator

I need halp PLSSSSS I’m confused

Answers

Answer:

the answer is C (18:30)

Step-by-step explanation:

Each set of ratio in the table in simplest form is 3:5, and so is C.

6×3=18

6×5=30

So, 18:30 in simplest form is 3:5

Hope this helps!

Out of 1500 students at a school 85% made grade check. How many students passed grade check?

Answers

Answer:

1275

Step-by-step explanation:

Sammy's mother asked him to buy some aspirin at the supermarket. There were two different
sizes of aspirin bottles, and Sammy was not sure which one to buy. The bottle with 150 tablets
cost $7.50. The bottle with 50 tablets cost $3.00. Sammy used proportions to make his decision.

1. The bottle with 150 tablets

2. The bottle with 50 tablets

3. Both bottles work out the same

Answers

MARK BRAINLIEST SO I CAN LEVEL UP
so I divided 150 by 7.50 and it’s 20 tablets for 1.00 then I divided 50 by 3.00 and it’s 16 tablets for 1.00 so the bottle for 7.50 is a better deal
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