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

4x^2+5y^2=41
3x^2-4y^2=23

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Answer:

i dont know the answer sry

Step-by-step explanation:

srryyy

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

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.

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;

6x + 9(2) = 72

6x + 18 = 72

6x = 72 - 18

6x = 54

x = 54/6

x = 9

Ticket is $9 while snacks are $2

9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.

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.

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

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

Answers

Answer:

its actually 65

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

What is the value of K?

Answers

The value of K is 10

what is the equivalent fractions of 2​

Answers

Answer:

[tex]2=\frac{2}{1}= \frac{4}{2} =\frac{6}{3}=\frac{8}{4}=\frac{10}{5}[/tex]

Step-by-step explanation:

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

PLEASE HELP, I WILL MARK BRAINLIEST(no links)

Answers

Answer:

-70 degrees

Step-by-step explanation:

What you need to do is subtract 10 from -58 to find the difference;

-58-12 = -70 degrees

-70 degrees because -58 - 12

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

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

area = width² + 6width

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:

width = (-6 ± √(6² - 4(1)(-40))) / 2(1)

width = (-6 ± √(196)) / 2

width = (-6 ± 14) / 2

So we have two possible values for the width:

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

or

width = (-6 - 14) / 2 = -10

Since the width cannot be negative, we can reject the second solution. Therefore, the width of the rectangle is 5 units.

We can use the expression for the length in terms of the width to find the length:

length = width + 6 = 4 + 6 = 10

Therefore, the dimensions of the rectangle are 10 by 4.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ7

a percent of
Yidosol 3,3,200
are
7
boys. What percent of the class are boys?
In a class where the number of girls is 36% of the total number, there are 48
boys. How many students are there in the class?
Challenge Problems
8. The total attendance at aconcert in a theater hall was 1500, of this total 400
children, 850 were women, and the remaning were men. Find the
were
percent of the total attendance represented by:
a. Children
b. Women
c. Men
. The base is one greater than the amount. If the percentage is 93.75, then fin
the amount and the base.
10. Hiwot has Birr 46,000 in her account. If she plans to invest 26% of
saving in establishing a kindergarten, find the
int required​

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Answer:

aeafscgefgdderhgdthdg

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

Answers

Answer:80

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

please give answer and ill give brainliest

Answers

Answer:

42.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you add both top and bottom which is 17 then divide 17 ÷2 which is 8.5 and then multiply by 5 which gives you 42.5 m

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Answers

the second, third and fourth
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Answers

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Answers

Area of circle= pi r^2
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Answer:

the approximate area of corcle is 3848

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Answers

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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:

hope it helps you...

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

Step-by-step explanation:

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Answers

Answer:

148.8 cm

Step-by-step explanation:

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b) the graph will show a decreasing, rather than increasing, function
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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

differentiate tan inverse of x÷a

Answers

Answer:

Expression Derivatives

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

y = sec-1(x / a) dy/dx = a / (x (x2 - a2)1/2)

y = cosec-1(x / a) dy/dx = - a / (x (x2 - a2)1/2)

IM DESPERATEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE *sniff* ;-;

Answers

Answer

1-right

2-not a triangle

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5-right

6-obtuse

7-acute

Step-by-step explanation:

please help im am really stuck on this​

Answers

Answer:

-81,-294

Step-by-step explanation:

-36-27-18

=-81

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please mark as brainliest

What is the solution to the inequality below?

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A.

B.

C.

D.​

Answers

Answer:

C. x > 9, x < - 9

Step-by-step explanation:

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

Correct choice is C

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Answer:

A

Step-by-step explanation:

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