Scenario: The Cannon Instructions: View the video found on page 1 of this Journal activity. Using the information provided in the video, answer the questions below. Show your work for all calculations. The Cannon: Ernest's friend Nik is about to be shot out of a cannon. The path he will travel follows a parabolic arch that can be described by this polynomial. f(x) = –0.05(x2 – 26x – 120) He is supposed to land on a safety net 30 feet away. Does the function give you enough information to tell you where he will land? If so, how far from the cannon will he land?

Answers

Answer 1

Answer:

Part A

Yes

Part B

He will land at a point 30 meters from Cannon

Step-by-step explanation:

Part A

The given function that represent the path of the Cannon, which is the path of a parabolic arc, is presented as follows;

f(x) = -0.05·(x² - 26·x - 120)

We note that the height, 'h', of the path of a parabola at a horizontal distance, 'x' from the origin is equal to f(x)

Therefore, given that at the ground level, at the start and end of the flight, the f(x) = 0, we can write;

-0.05·(x² - 26·x - 120) = 0

∴ x² - 26·x - 120 = 0

x = (26 ± √((-26)² - 4 × 1 × (-120)))/(2 × 1)

Which gives;

x = 30 or x = -4

Therefore, he lands at a point 30 meters from the starting point

Therefore, the function gives enough information to tell where he will land

Part B

He lands at the point, x = 30 from the point the cannon was fired.


Related Questions

is this correct help please

Answers

Answer:

I would think it would be 4 because dont you add the 2 sides?

Step-by-step explanation:

A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents this situation?

Answers

If you have 60 gal and 5% (12) is being drained per min it will only take 5 mins to drain all the water

I don't know if I solved it the way you needed me to, but I hope it helps

I don't know what the answer choices are so yeah.

A recipe calls for 3 cups of flour to make 3 dozen cookies. Use the proportion to calculate how (1 point much flour is needed to make 9 dozen cookies. 3 cups 1 cups 9 dozen 3 dozen Об cups 3.5 cups 9 cups 0 12 cups point 4. Chase sold 48 tickets to the school dance, and Justine sold 14 tickets. What is the rato, in simplest form of the number of tickets Justine sold to the number of tickets Chase sold? 7. 24 24 7​

Answers

9 cups
7:24
should be correct sorry if wrong

Ms. Gonzalez had $70 to purchase school supplies for her class. She bought 29 glue sticks and 29 boxes of crayons. Each glue stick cost $1.29, and each box of crayons cost $0.79. How much money did Ms. Gonzalez have left after these purchases?

Answers

she would have $9.68 after the purchases

A cube has an A on 3 sides and a B on 3 sides. Rolling it 50 times results in 17 A's and 33 B's.

Using this observed probability, how many A's would be rolled in 750 tries?

Answers

two hundred and fifty five

Please help! Due today

Answers

Answer:

-4 5/12

Step-by-step explanation:

Question 5 of 10
The function f(x) = 2X is shifted 4 units left. The result is g(x). What is g(x)?
O A. g(x) = 2x + 4
O B. g(x) = 2X – 4
C. g(x) = 2x - 4
D. g(x) = 2x + 4

Answers

Answer:

None

See below under Remark.

Step-by-step explanation:

When you shift left, you think of moving in the negative direction. But it is not shown that way. You need to show what happens when you substitute a value in for x. Usually a graphing program helps to show which choice is right.

g(x) = f(x+4) = 2(x + 4)

None of the choices are this result, so we have to assume that the brackets were just omitted.  The graph below shows what the answer given is the correct one.

Remark

Look at the graph carefully. The red line is f(x) = 2x

The blue line is g(x) = f(x-4) = 2(x - 4)

Notice that g(x) has shifted 4 units to the left. The x intercept has gone from 0,0 to (-4,0) and is so labeled.

If you have an answer with brackets around (x + 4) that's the one you choose. It needs the 2 outside the brackets.

Arsenic concentration in public drinking water supplies is potential health risk. An investigator collected data of arsenic concentration in parts per billion (ppb) from 10 metropolitan phoenix communities and 10 rural Arizona. Under  = 5%, can the investigator conclude that the metropolitan phoenix water is different from the rural Arizona when it comes to the Arsenic concentration

Answers

Answer:

Hello your question has some missing data  below is the missing data

answer : The Investigator can conclude that the metropolitan phoenix water is different from the rural Arizona ( to = -2.77 which is < 0.05 )

Step-by-step explanation:

The hypothesis ;

H0 : μ1 = μ2

Ha : μ1 ≠ μ2

significance level ( ∝ ) = 0.05

calculate for degree of freedom ( df ) = 13.2  ( using excel function )

find the test statistic ( to ) = -2.77

attached below is the remaining part of the solution

PLEASE HELPPP!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

If you get that right, follow Sammy Revv on Spotify please

What are the solutions to 2(x+1^2)=18

Answers

Answer:

2( x + 1) = 18

2x + 2 = 18

2x = 16

x = 16/2 = 8

A space shuttle is made using a scale of 1 inch : 12 feet. If the actual space shuttle has a height of 84 feet, then the model is ____ inches tall.

Answers

Answer:

7 in.

Step-by-step explanation:

1 in - - > 12 ft

x in - - > 84 ft

----------------------

12*x=84 - - >x=7in

It takes 2 workers 6 hours to paint a school hall.
How long would it take 4 workers to paint the same hall

Answers

Answer:

it will take 3 hour to paint the wall

Answer:

3 hours

Step-by-step explanation:

because  we know that 2 x 3 = 6 and 4 x 3 = 12 basically your finding the median. if the number of values is an even number, the median will be the average of the two middle numbers

Sentence: It will take 3 hours for 4 workers to paint the same wall.

Chris's art Class is 8 hours long. How long is his class in minutes?

Answers

60 minutes in an hour
60 x 8 = 480
his class is 480 minutes long

answer all of them please


easy math questions for 20 points ​

Answers

1) 18
2) 4
3) 60
4) 18
5) 6
6) 4
7) 9
8) 4
9) 4
10) $35
11) 8
12) 9
13) 56
14) 10000
15) 78
16) $50
17) 10
18) 1,2,3,4,6,12
19) 1,2
20) 1000
21) 8
22) 5
23) 12
24) 366
25) 35

What is the area, in square centimeters of the shaded part of the rectangle shown below

Answers

100 centimeters is the answer

The area of shaded region is 100 square centimeters.

What is an area?

An area is the amount of space taken up by a 2D shape or surface. The area of a shape is the number of unit squares required to completely cover it.

For the given situation,

The diagram shows the rectangle. In rectangle, some region is shaded and some region is left. The unshaded region is in the shape of the right triangle.

The area of shaded region = Area of rectangle - Area of triangle

The dimension for rectangle,

Length = 10 cm

Width = 14

The formula of area of rectangle = (length)(width)

The dimension for triangle,

Base = 10 cm

Height = 14 - 6

⇒ Height = 8 cm

The formula of area of triangle = 1/2 (base)(height)

On substituting the above values,

Thus area of shaded region = [tex](10)(14)-\frac{1}{2} (10)(8)[/tex]

⇒ [tex]140-40[/tex]

⇒ [tex]100[/tex]

Hence we can conclude that the area of shaded region is 100 square centimeters.

Learn more about area here

https://brainly.com/question/14853802

#SPJ2

HELP IM TIMED. ILL MARK BRAINLIEST!

Answers

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Can someone please help me with my homework its due in two hours!!!!!! Please i need it done soon.

Answers

Answer:

see explanation

Step-by-step explanation:

so, when a=-3, c is -20. now, to find b when a is -3, plug a (which is -3) into the equation b=4a-5 to get b=-17. so b=-17, c=-20. b is obviously larger (remember the negative sign)

when c is 21, a is 5. plug numbers in to get b=15.

when a is 6, there is no clear value for c, so i'd guess undefined. b however is 19

we can plot the line and the points, for problem 4 and all points above the line means that c is greater than b, and when below it's less than. doing this we get when a is 12, when a is 0, and when a is 5. hope this was clear

What type of units are used to describe volume?

Answers

units used to describe volume are cubic

Answer:

The most basic common unit is Liters (L), but people also commonly use milliliters (mL) and cubic centimeter (cm^3).

which equation has (2, -1) as a solution
a. y=2x-1
b. y=x+3
c. y=x-3
d. y=-2x+1

Answers

Answer:

y=x-3

-1=2-3=-1

............

Does anyone know the answer to this?

Answers

Answer:

x=18 and y=106

Step-by-step explanation:

Write 53 minutes to 4 hours as a ratio.

Answers

Answer:

The minutes wouldn't it be hours?

Step-by-step explanation:

Answer:

53:240

Step-by-step explanation:

Turn the hours into minutes since the minutes can't change to hours.

The ratio of children to adults is 4 to 3. How many children are there if there are 2700 adults?

Answers

Answer:

2025 children

Step-by-step explanation:

4 2700

-- = --------

3 x

cross multiply

4x = 8100

x = 2025


The product of two numbers is 75
one of the two numbers is a perfect squar. The other is a prime number. Find the sum of the two numbers.

Answers

Answer: 8

Step-by-step explanation: numbers are 5 and 3.

5²·3 =75

Which of the following is a trigonometric identity?
cot 0 + tan 0 = 1
sec2 0 +csc2 0 = 1
tan2 0 = sin2 0 x sec2 0
cos2 = sec2 0 x tank 0​

Answers

Answer:

it's the first one... I think

Answer:

third one

I'm assuming does 2's are squared symbols.

Step-by-step explanation:

It's the third one because

sin^2 x sec^2 x

sin^2 x (1/cos^2 x) by reciprocal identity

sin^2 x/cos^2 x by multiplicative identity prop

tan^2 x by quotient identity

The first one wouldn't work because plugging in pi/4 gives 1+1=1 which isn't true.

The second one doesn't work because plugging in pi/4 gives 2+2=1 which isn't true.

The last equation doesn't make sense at all. There is no variable on the left and on the right there is an extra variable.

GEOMETRY!! I will give brainliest

Answers

Answer

The triangle is scalene triangle

Answer:

Scalene triangle

Step-by-step explanation:

 

I posted 2 question of this but nobody answered first answer gets brainliest and a thanks and 5 stars and 20 points and do all of them or half no links ASAP guessers will be reported

Answers

Answer:

14. 13.65

15. 7.53

17. 0.0371

18. 0.81

19. 0.864

Here are some answers! Hope this helps

sum of -4/5 and -5/12. please answer.​

Answers

Answer:

[tex]- 1 \frac{13}{60} [/tex]

Step-by-step explanation:

[tex] - \frac{4}{5} + - \frac{5}{12} \\ \frac{ - 48 - 25}{60} \\ \frac{ - 73}{60} \\ = - 1 \frac{13}{60} [/tex]

Hope this helps you.

Can I have the brainliest please?

can someone help me answers these questions

Answers

Answer:

3) 156°

4) 24°

5) 24°

6) 24°

Step-by-step explanation:

m∡2: 180 - 156 = 24°  

m∡3:  156° (is vertical to angle labeled as 156°)

m∡4:  24°  (is vertical to angle 2)

m∡5:  156°

m∡6:  24° (alternate-interior to angle 4)

m∡7:  156° (corresponding angle with ∡3)

m∡8:  24° (vertical with angle 6)

Answer:

Step-by-step explanation:

m∠2 = m∠4 = m∠8 = 180° - 156° = 24°

m∠8 = 156°

PLEASE HELP————————-

Answers

I think I know one of them, angles 1 and 5 are vertical

Neal thought of a number. When he divided 47 by his number the remainder was 5. What can Neal's number be? Find all possible answers

Answers

47x5= 235
235 divided by 5 =47
Neals number could be 47

Answer:

[tex]\{\ldots -89,-42,5,52,99,\ldots\}[/tex]

Step-by-step explanation:

His number must be an integer multiple of 47, plus 5.

[tex]47n+5[/tex]  where n  is any integer.

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