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

Mr. Muñoz has a coupon for 15% off his entire purchase. He buys binoculars for $105 and hiking boots. He spends a total of $170 before tax.
solve an equation to find how much the hiking boots cost, X, before tax

Answers

Answer:

[tex]105(.15)+x=170[/tex]

Hope this helps, have an amazing day!

Answer:

144.50 so he got 25.50 Dollars off

3 1/7 x 10 answer plz

Answers

Answer:

31.43

Step-by-step explanation:

3 1/7 = 3.14285714285

3 1/7 x 10 = 31.4285714286 which is about 31.43

Answer:

31 [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{22}{7}[/tex]×[tex]\frac{10}{1}[/tex]

[tex]\frac{220}{7}[/tex]

31 [tex]\frac{3}{7}[/tex]

Question
The area of a triangular painting is 50 square inches. The base is 20 inches. What is the height?

Answers

Answer:

2.5 inches

Step-by-step explanation:

Area= 50 square inches

Base= 20 inches

Height=?

Area= base×height

50= 20× x

50= 20x

x= 50/20

= 2.5

Hence the height is 2.5 inches

Answer:5 inches

Step-by-step explanation:

What Are the missing numbers?

Answers

Answer:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Step-by-step explanation:

The missing numbers represent the slope/rate of change (m) and y-intercept (b) of the table of values given.

✔️Let's find slope (m) using any two given pairs of values, say (2, 9) and (4, 6):

Slope (m) = change in y/change in x

= (6 - 9)/(4 - 2)

= -3/2

m = -³/2

✔️Find b by substituting (x, y) = (2, 9), and m = -³/2 into y = mx + b

Thus,

9 = -³/2(2) + b

9 = -3 + b

9 + 3 = b

b = 12

The missing numbers are -³/2 and 12.

Which will give us:

[tex] y = -\frac{3}{2}x + 12 [/tex]

Plss help mark brain list a lot of point

Answers

Answer:

arc TQ= 69°          (44 + 25)

arc QR = 155°       (180 - 25)

arc TS = 111°         (360 - 44 - 25 - 155 - 25)

arc SQR = 335°    (360 - 25)

arc RQT = 224°    (155 + 25 + 44)

can you please help me

Answers

C. Hope this helps:)

Find [tex]a_{1}[/tex] in a geometric series for which [tex]S_{n}[/tex] = 189, r = [tex]\frac{1}{2}[/tex], and [tex]a_{n}[/tex] = 3.

Answers

Answer:

[tex] \displaystyle a_{1} = 108[/tex]

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

[tex] \displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r} [/tex]

we are given that

[tex]S_n=189[/tex][tex]r=\dfrac{1}{2}[/tex][tex]n=3[/tex]

thus substitute:

[tex] \displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} } [/tex]

to figure out [tex]a_1[/tex] we need to figure out the equation

simplify denominator:

[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189[/tex]

simplify square:

[tex] \displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189[/tex]

simplify substraction:

[tex] \displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189[/tex]

simplify complex fraction:

[tex] \displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189[/tex]

calculate reciprocal:

[tex] \displaystyle a_{1} \frac{7}{8} \times 2 = 189[/tex]

reduce fraction:

[tex] \displaystyle a_{1} \frac{7}{4} \ = 189[/tex]

multiply both sides by 4/7:

[tex] \displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7} [/tex]

reduce fraction:

[tex] \displaystyle a_{1} = 27\times 4[/tex]

simplify multiplication:

[tex] \displaystyle a_{1} = 108[/tex]

hence,

[tex] \displaystyle a_{1} = 108[/tex]


In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the
length of side AC?

Answers

Answer:

43 inches

Step-by-step explanation:

During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?

Answers

Answer:

Most snow- 3 1/2 inch least snow, 1/2 inch

Step-by-step explanation:

there's 20 points for both problems if you could please solve this

Answers

1 is 36. There are 360 in a circle, so 10x36=360.
2 is 45. 45x8 is 360.

Just answer the top answer please and thank you

Answers

Answer:

C. 75

Step-by-step explanation:

If Jordan rode his bike for five days how much hours dose he ride it for? PLEASE COMMENT YOUR ANSWER asp

Answers

Answer: 2880 hours

Explanation: 120 days times 24 hours

A national organization sets out to investigate the change in prevalence of HIV since the last census in 2010. A total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive. Assume that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%.

Required:
Test if the proportion of the prevalence of HIV has changed (is equal to 7.5%). Use α = 0.05.

Answers

Answer:

As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

Step-by-step explanation:

Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:

4706 = 100

468 = X

468 x 100/4706 = X

46,800 / 4,706 = X

9.94 = X

Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.

write the following comparison as a ratio reduced to lowest terms.



94 hours to 8 days​

Answers

Answer:

11.75:1

Step-by-step explanation:

alrighty right, more unit rates, so we have to get that 8 down to 1. How are we gonna do that? By dividing it by 8. And if we divide one side by 8, we also have to divide the other side:

8 ÷ 8 = 1

94 ÷ 8 = 11.75

So 94 hours to 8 days in lowest terms is 11.75 hours to 1 day

i am so confused help me whats 2x3x4x6x7+7=

Answers

Answer:

1015 will be your answer!

Step-by-step explanation:

2 x 3 x 4 x 6 x 7 + 7 =

6 x 24 x 7 + 7 =

144 x 7 + 7 =

1008 + 7 =

1015

Answer:

Hi! The answer to your question is [tex]1015[/tex]

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

what is 513 + _ + 130 = 764? what is the missing number and can u pls do a explantation

Answers

Answer:

121

Step-by-step explanation:

The missing number is 121. I got this by doing 764-130-513=121. You would do this because you are trying to find the number that would allow 130 and 513 to add up to 764.

Another way to look at this problem is 513+130= 643

764-643=121

In conclusion, 513+121+130=764

Answer:

the answer will be 121

Step-by-step explanation:

because 513 + 130= 643 then 121 + 643 = 764

PLEASE HELP NO LINK ANSWER I WILL GIVE BRAINLY THING BOTH QUESTIONS PLEASE ​

Answers

1: glucose and 2 is stomach

Answer: 33. Glucose 34. stomach

Step-by-step explanation:

Find the value of x in the triangle shown below.

a.164
b.2
c.6
d.80

Answers

Answer:Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²

10²=+8²

x=36=6 units.

COPY THIS WHAT I WRITE IN UNDER↓↓↓↓↓




\bcancel{\huge\pink{\fbox{\tt{࿐αɴѕωєя࿐}}}}




_______________________

AND THAN PASTE IT'S SHOWING IN THE ATTECHMENT



Answers

[tex]

{\pink{\fbox{\tt{࿐αɴѕωєя࿐}}}}[/tex]

<( ̄3 ̄)> the cancel thingy wasn't needed until it's mathematics.

Answer:

[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex] \huge\purple{\boxed{\mathfrak{Thanks}}}[/tex]

Hi please help me out I am one the edge of failing math class and might have to do summer school, but I don't want to talk about that, anyways please help me!

A company has three sales departments (local, regional, and national) at each of several locations across the United States. Each local sales department has 120 employees. The company wants to survey its employees to determine the most effective sales method.



Which sample should the company use to arrive at the most reliable conclusion?

Group of answer choices

24 employees from one sales department at one location

24 employees from one sales department at each location

24 employees from each sales department at one location

24 employees from each sales department at each location

Answers

Step-by-step explanation:

24 employees from each sales department at each location

Answer: D. 24 employees from each sales department at each location

Step-by-step explanation: took the test I got it right

Which describe the solution set of the given system? Check all that apply.
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary curves.
The boundaries of the overlapping region are in the solution set.
The boundary curves intersect at approximately
(–3, 0).

Answers

Answer: 1,3,5

I got them right on my assignment

Option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have two inequality:

x² - 9y² < 9

y > 2×

After plotting on the graph:

From the graph:

The correct options are:

The solution set is unbounded

There is one point of intersection of the boundary curves.

The boundary curves intersect at approximately (-3, 0).

Thus, option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

please someone help me with this ASAP especially with the workout!!

Answers

Answer:

71 degrees

Step-by-step explanation:

please someone help me with this ASAP especially with the workout!!

From the triangle shown;

YX² = YZ² + XZ² - 2(YZ)(XZ) cos Z

28² = 25² + 23² - 2(25)(23) cos Z

784 = 625 + 529- 1150 cos Z

784 - 1154 = -1150cos Z

-370 = -1150cos Z

cos Z = 370/1150

cos Z = 37/115

cos Z = 0.3217

Z = arccos 0.3217

Z = 71.23

hence the measure of <Z is 71 degrees

what is the inverse operations of -5x + 10 = 40

Answers

Answer:

x=-6

Step-by-step explanation:

−5x+10=40

−5x+10−10=40−10

−5x=30

−5x/5=30/5

x=−6

Using the diagram, calculate the values of the unknown variables: a, b, and c.

Answers

Answer:

a = 82

b = 130

c = 118

Step-by-step explanation:

A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.

Opposite angles of a cyclic quadrilateral are supplementary.

Therefore,

a° + 98° = 180°

a° = 180° - 98°

a° = 82°

a = 82

By inscribed angle theorem:

a° = 1/2(b° + 34°)

82° * 2 = b° + 34°

164° - 34° = b°

b° = 130°

b = 130

Again by inscribed angle theorem:

76° = 1/2(c° + 34°)

76° *2 = c° + 34°

152° - 34° = c°

c° = 118°

c = 118

Newton yayınları anahtar kodu

Answers

Answer:

What does this even say maybe I can try and help.

Please you guys I need help!!!! I'll mark branliest !!!!


1. In triangle ABC, Angle A = 2X + 7, Angle B = 5X-15, and Angle C = 6X. What is the value of X and what are the measures of angles A,B, and C?


2. In a triangle XYZ, Angle X= 37 degrees, Angle Y = 45 degrees and Angle Z = 3x + 6. What is the value of X and what is the measure of Angle Z?

Answers

1.) 14.5
2.) X is 30.7 and Z is 98
Look at the uploaded pictures for work.


Sally's savings account has $238 and she is withdrawing (taking money out) $17 each week to put gas in her car. How much money will Sally have after 5 weeks?

Answers

Answer:

$153

Step-by-step explanation:

The Correct Answer for this is 153$ Because you times 17 by 5 and subtract that from 238

Your cousin is building a sand box for his daughter

How much sand will he need to fill the box

how much paint does he need for the box

Answers

Answer:

volume of box(v)=l×b×h

=1×6×4

=24ft^3

so it required 24volume sand to fill the box

Brainliest for answer

Answers

Answer:

C. 8 and -32

Step-by-step explanation:

-2 → 8 → -32 → 128

-4 -4 -4

f(n) = -2 • -4^(n–1)

The common ratio is -4, and the first term of the sequence is -2.

Where f(n) is the nth term of the sequence.

help pls its due in 1 hour !!!!​

Answers

Answer:

Hello Love! This is A Triangular Prism

Hope that helps!

Answer: Triangular Prism

Step-by-step explanation:

There’s no way to explain this, but you can easily find the answer by searching “what does a rectangular prism look like” and go through each of the answer choices until you find one that matches.

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