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.

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.

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

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

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? ​

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

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

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

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

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

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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

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

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.

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?

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Which of the following phrases are inequalities?

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?

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Which images below are scalene triangles?


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

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?

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.

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

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

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

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

here is the question again

set up proportion and solve:

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

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