A carnival attraction tests your strength by how far in the air you can drive a weight with a hammer. If the weight reaches 15 feet, you win a prize. The equation h = -16t 2+ 31t + 2 gives the height, in feet, and time, in seconds of the weight after it is hit.
a. How long is the weight in the air?
b. What was the weight’s maximum height?
c. Did you win a prize? Why or why not?

Answers

Answer 1

Answer:

a. 2 secondsb. ~17 feetc. yes

Step-by-step explanation:

Given function:

h(t) = -16t² + 31t + 2a.

h(t) = 0 will give us the y-intercept of the graph. The greater value of t is the time the weight in the air

-16t² + 31t + 2 = 016t² - 31t - 2 = 0t = [31 + √(31²+4*16*2)]/32t =  (31 + 33)/32t = 2 secondsb.

Maximum height is reached at vertex.

The x coordinate of the vertex is determined as x = -b/(2a), considering the standard form of a quadratic function f(x) = ax² + bx + c

t = -31/(-16*2) = 31/32 = 0.96875h(0.96875) = -16(0.96875)² + 31*0.96875 + 2 = 17.015625 ftc.You win the prize as the maximum height is greater than 15 feet
A Carnival Attraction Tests Your Strength By How Far In The Air You Can Drive A Weight With A Hammer.

Related Questions

Can someone please explain the area of a circle in the simplest way possible, no links

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So, for the area of a circle, there should be a line in the middle. Correct?

Well, that line is the diameter. Then cut that in half, so if the diameter is 6, the radius is 3.

Then multiply the the radius by the radius, so 3x3 once you get that, multiply the answer by pi. Pi= 3.14, so if you do 3x3x3.14 you should get 28.26. Hope this helps.

Find the surface area of the solid figure represented by the given net. 10cm squared 10cm squared 10cm squared 10cm squared 25cm squared

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Answer:

its actually 65

Step-by-step explanation:

A donut shop made 32 chocolate donuts one morning. The chocolate donuts were 40% of the total number of donuts made that morning. How many donuts were made, in all

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Answer:80

Step-by-step explanation:

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?

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3/4 cups of water is needed for one cup of milk

4x^2+5y^2=41
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Answer:

i dont know the answer sry

Step-by-step explanation:

srryyy

Eva's mother will add $5 to all other
donations that she collects for the school
fund drive.
Let a = all other donations.
Let t = total donations.
Graph t = a + 5.

Answers

Answer:

hope it helps you...

The points of the graph are (10,15)(20,25)(5,5)

Step-by-step explanation:

Transformations of Functions (A1)

The graph of y=f(x) is the solid black graph below. Which function represents the dotted graph?

A: y=f(x−1)−1

B: y=f(x−1)+1

C: y=f(x+1)+1

D: y=f(x+1)−1

Answers

Answer:

D

Step-by-step explanation:

Pretty sure it’s f(x-1)+1

Please help! Needed ASAP

Answers

Answer:

7)Bagel costs $3.5 and muffin cost $1.25

8) Ticket is $9 while snacks are $2

9) Correct because left hand side is zero

10) Correct because they both have same slope and same y-intercept

Step-by-step explanation:

7) Let bagel be x and muffin be y.

Thus;

For Aaron;

x + 3y = 7.25 - - - (1)

For bee;

x + 2y = 6 - - - (2)

Subtract eq 2 from eq 1 to get;

y = 1.25

Put 1.25 for y in eq 2;

x + 2(1.25) = 6

x + 2.5 = 6

x = 6 - 2.5

x = 3.5

Bagel costs $3.5 and muffin cost $1.25

8) Let movie ticket be x and snacks be y.

Thus;

2x + 3y = 24 - - - (1)

3x + 4y = 35 - - - (2)

Multiply eq(1) by 3 and eq(2) by 2 to get;

6x + 9y = 72 - - - (3)

6x + 8y = 70 - - - (4)

Subtract eq 4 from eq 3 to get;

y = 2

Put 2 for y in eq 3;

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Ticket is $9 while snacks are $2

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Thus, no solution exists because we can't isolate the variable to get an answer.

10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.

In this case, their y-intercept which is when x is 0 is;

3(0) + y = 9

y = 9

Their slope is also the same equal to 3.

A store applies a 120% markup to an item and sells it for $80.08. What was the value of the item before the markup was added?

Answers

Answer:

66.7333

Step-by-step explanation:

if 120 =80.08 what about 100

100×80.08÷120

=66.733

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Answers

Answer:

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Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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What is the solution to the inequality below?

x² > 81

A.

B.

C.

D.​

Answers

Answer:

C. x > 9, x < - 9

Step-by-step explanation:

x² > 81 √x² > √81|x| > 9x > 9, x < - 9

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Answers

Answer:

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Step-by-step explanation:

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=-81

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please mark as brainliest

What is the approximate area of the circle shown below

Answers

Area of circle= pi r^2
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Or choice B

Answer:

the approximate area of corcle is 3848

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what is the equivalent fractions of 2​

Answers

Answer:

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Step-by-step explanation:

differentiate tan inverse of x÷a

Answers

Answer:

Expression Derivatives

y = tan-1(x / a) dy/dx = a / (a2 + x2)

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a percent of
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were
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Answer:

aeafscgefgdderhgdthdg

Help plsssss ......................

Answers

Answer:

3/5 of the lawn was mowed

Step-by-step explanation:

1/5 + 2/5 = 3/5

Answer:

3/5

Step-by-step explanation:

1/5+2/5=3/5

What is the volume of the rectangular prism below?

Answers

Answer:

148.8 cm

Step-by-step explanation:

Length * width * height = volume

9.3 * 4 * 4 = 148.8

01:16:12
What are the dimensions of the rectangle?
A rectangle has an area of 40 square units. The length
is 6 units greater than the width
O 8 by 5
10 by 4
11 by 9
13 by 7

Answers

Answer:

its b

Step-by-step explanation:

The requried dimensions of the rectangle are 10 by 4. Option B is correct.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,
To solve the problem, we can use the formula for the area of a rectangle, which is:

area = length x width

We also know that the length is 6 units greater than the width, which we can express as:

length = width + 6

We can substitute this expression for length into the formula for area, giving us:

area = (width + 6) x width

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We are given that the area is 40 square units, so we can set up the equation:

40 = width² + 6width

We can rearrange this equation into the standard quadratic form:

width² + 6width - 40 = 0

We can then use the quadratic formula to solve for the width:

width = (-b ± √(b² - 4ac)) / 2a

Plugging in the values of a, b, and c from the quadratic equation above, we get:

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width = (-6 + 14) / 2 = 4

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Answers

Answer:

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Step-by-step explanation:

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Andre swims 5 laps in just 4 minutes, if Andre swam 22 laps, how many minutes did it take him? Please I need answer as fast as you can type. This answer is worth 200% of my grade, it could make me go from A to a literal Z

Answers

Answer: 17.6 minutes

Step-by-step explanation: im not sure if u can use decimals tho

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InnerSloth continue to update their popular video game Among Us.3 Scraping their serverlogs, we have the sample data below. For the number of players, the sample statistics includea mean of about 7.7778 players and a standard deviation of about 1.3017 players. For thegame times, the sample statistics include a mean of about 407.5556 seconds and a standard deviation of about 68.4235 seconds. The correlation between the number of players and thegame time is about 0.9012.
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6 353
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Answers

Answer:

A

Step-by-step explanation:

Which of the following is not equivalent to 10 divided by 80
10/80
80/10
80 divided by 10
8

Answers

the second, third and fourth
Ummm well 80/10 isn’t equivalent.. and 80 divided by 10 isn’t equivalent either... and 8 isn’t equivalent either
Have a great day :)

Find the gradient of the line segment between the points (2,3) and (4,7)

Answers

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

What’s the volume and surface area

Answers

Surface area and volume are calculated for any three-dimensional geometrical shape. The surface area of any given object is the area or region occupied by the surface of the object. Whereas volume is the amount of space available in an object.

IM DESPERATEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE *sniff* ;-;

Answers

Answer

1-right

2-not a triangle

3-acute

4-obtuse

5-right

6-obtuse

7-acute

Step-by-step explanation:

11 out of the 22 employees at the sports shop are part-time employees. What percentage of the employees at the sports shop work part-time?

Answers

Answer:

50% of the employees work part time.

Step-by-step explanation:

11/22=0.5

0.5 *100=50

The given graph represents the function f(x) = 2(5)^x
[tex]f(x) = 2( {5})^{x} [/tex]
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a) the graph will increase at a slower rate
b) the graph will show a decreasing, rather than increasing, function
c) the graph will show an initial value that is lower on the y-axis
d) the graph will increase at a constant additive rate, rather than a multiplicative rate

Answers

Answer:

C

Step-by-step explanation:

in exponential equations f(x)=ab^x , a is the intial amount while b is the growth factor. you are just decreasing a so the intial value is lower (=^w^=)

Answer:

Step-by-step explanation:C

What is the value of K?

Answers

The value of K is 10

someone please help me answer this!!

Answers

Answer:

c = 9.4m is the answer

Step-by-step explanation:

a (length of the telephone pole) = 9m

b (distance between the pigeon and the pole) = 3m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

9² + 3² = c²

81 + 9 = c²

c² = 90

c = 9.4m

∴ the pigeon will fly 9.4m

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