Stunt Double A movie stunt double jumps from the top of a
building 50 feet above the ground onto a pad on the ground
below. The stunt double jumps with an initial vertical velocity
of 10 feet per second.
a. Write and graph a function that models the height h (in feet)
of the stunt double t seconds after she jumps.
b. How long does it take the stunt double to reach the ground?

Answers

Answer 1

Answer:

2.1 s

Step-by-step explanation:

1. Write the equation

The formula for vertical displacement is

y =  h + v₀t - ½gt²

h = 50     ft

v₀ = 10     ft/s

g = 32.2 ft/s²

Insert the values

y = 50 + 10t - ½ × 32.2t²

y = 50 + 10t - 16.1t²

The graph below shows the height as a function of time.

2. Solve the equation

a = -16.1; b = 10; c = 50

[tex]\begin{array}{rcl}x & = & \dfrac{-b\pm\sqrt{b^2 - 4ac}}{2a}\\\\& = & \dfrac{-10\pm\sqrt{10^2-4(-16.1) \times 50}}{2(-16.1)}\\\\& = & \dfrac{-10\pm\sqrt{100 - (-3220)}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{100 + 3220}}{-32.2}\\\\& = & \dfrac{-10\pm\sqrt{3300}}{-32.2}\\\\& = & \dfrac{-10\pm 57.62}{-32.2}\\\\\end{array}[/tex]

[tex]\begin{array}{rcl}x = \dfrac{-10 + 57.62}{-32.2}& \qquad & x = \dfrac{-10 -57.62}{-32.2}\\\\x = \dfrac{47.62}{-32.2}& \qquad & x = \dfrac{-67.62}{-32.2}\\\\x = -1.479& \qquad & x =\textbf{ 2.1 s}\\\\\end{array}\\\text{It takes the stunt double $\large \boxed{\textbf{2.1 s}}$ to reach the ground.}[/tex]

Stunt Double A Movie Stunt Double Jumps From The Top Of Abuilding 50 Feet Above The Ground Onto A Pad

Related Questions

Melissa and Jane are planting trees. Melissa plants 10 trees in 1 hour. Jane plants 17 tree in 2 hours.
Enter an equation that can be used to find the number of hours t, takes Melissa and jane to plant 111 trees together

Answers

Answer:

6 hours

Step-by-step explanation:

Let both of them plan for  t hours to plant 111 trees n t hours

Melissa  can plants 10 trees in 1 hour

in t hours she can plant 10 t trees

Jane plants 17 tree in 2 hours

in one hour Jane can plant 17/2 trees

in t hours she can plant (17/2)t  trees.

Total trees planted by both of them in t hours in terms of t will be

10t + (17/2)t

= (10t*2 + 17t)/2

= (20t + 17t)/2

= 37t/2

but it is given that they planted 111 trees together

so 37t/2 should be equal to 111

37t/2 = 111

=> 37t = 111*2 = 222

=> t = 222/37 = 6.

Thus, it takes 6 hours for both of them to plant 111 trees together.

What is the inverse of f(x) =1/3x +3​

Answers

Answer:

I think that the answer is C

Answer: D. h(x) = 3x - 6

Step-by-step explanation:

edge2021

ABCΔ is an isosceles triangle in which AB=AC=17m and BC=16m . Find the area

Answers

Answer: 136 sq. m.

Step-by-step explanation:

Area = (base x height ) / 2

= (17x16)/2

= 272/2 = 136

QUESTION 5 of 10: You are considering selling your home. You consult with an agent who gives you the asking prices of five homes (comps)
in your area: $165,000, $188,000, $175,000, $150,000 and $400,000. The $400,000 is an outlier so you will not include it in your evaluation. In
determining a reasonable asking price, what is the mean of the four remaining comps?
a) $188,000
b) $215,000
Oc) $169,500
d) $175,000

Answers

Answer: $169,500

Step-by-step explanation:

The mean simply means the average price of a set of a numbers that are given. For one t calculate the mean, one has to add the numbers that are given and then divide them by the amount of numbers.

I'm the case above, the numbers given are $165,000, $188,000, $175,000, and $150,000.

Mean = ($165,000 ,+ $188,000 +$175,000 + $150,000) ÷ 4

= $678,000/4

= $169,500

Answer:

c) $169,500

Step-by-step explanation:

I just took the quiz.

A photograph that measures 16 cm by 10 cm is to be framed. The frame has the same width on all sides. (Call this length ​x.​ ) The picture and frame combined will have an area that is twice as big as the area of the photo alone. Determine the width of the fame.

Answers

Answer: W= 40cm

Step-by-step explanation:

16*10

A=160

160/4

=40

Answer: w=40

Step-by-step explanation:

plz help!
solve for p

Answers

Answer:

[tex] \boxed{p = 4} [/tex]

Step-by-step explanation:

[tex] = > {p}^{2} = 16 \\ \\ = > {p}^{ \cancel{2}} = {4}^{ \cancel{2}} \\ \\ = > p = 4 \\ \\ \\ OR \\ \\ \\ = > {p}^{2} = 16 \\ \\ = > {p}^{2} = {4}^{2} \\ \\ = > p = \sqrt{ {4}^{2} } \\ \\ = > p = {4}^{ \cancel{2} \times \frac{1}{ \cancel{2}} } \\ \\ = > p = 4 [/tex]

Using the given equation, we know that the square root of p = 16.

Because of this, we also know that the square root of 16 will equal p.

[tex]\sqrt{16} = 4[/tex]

Therefore, p is equal to 4, or p = [tex]\sqrt{16}[/tex].

Hope this helped! :)

someone help meh plzz

Answers

Answer:

1) 229 Teens

2) (12,-2)

How much interest is earned on a principal of $4.62 invested at an interest rate of 7% for two years

Answers

Answer:$0.6568

Solution,

Principal (P)=$4.62

Rate(R)=7%

Time(T)=2 years

Interest (I)=?

Now,

Interest=P*T*R/100

= 4.62*7*2/100

=64.68/100

=$0.6468

Hope it helps

Good luck on your assignment

Answer:

$0.6468

Step-by-step explanation:

[tex]principal(p) = 4.62 \\ rate(r) = 7 \\ time(t) = 2[/tex]

[tex]simple \: \: \: \: = \frac{prt}{100} \\ interest \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{4.62 \times 7 \times 2}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.6468 \\ [/tex]

Hope this helpsbrainliest appreciatedgood luck! have a nice day!

Miles has a piece of paper that is 1/4 of a large circle.He cuts the paper into five equal parts from the center point of the circle. What is the angel measure of each part?

Answers

Answer:

18°

Step-by-step explanation:

First, we find the angle of the large piece of paper that is 1/4 of a circle.

The angle in a circle is 360°. The angle in 1/4 of a circle is:

1/4 * 360 = 90°

He cuts the paper into five equal parts from the center point of the circle. That means the angle was divided into 5 parts:

1/5 * 90 = 18°

Each part has an angle of 18°,

Answer: it's 18

Step-by-step explanation: 18 is the answer hope this helps

A plumber used 2.895 m of pipe during a job. How much pipe did he use rounded to 1 decimal place?

Answers

Answer to the question:

2.9m

A Car is moving on a straight road with velocity 30m/s and is speeding up at constant rate and reaches a velocity of 90m/s. What is the average velocity of the journey? PLZZZ ANSWER

Answers

Answer:

60m/s

Step-by-step explanation:

velocity of the while moving is 30 m/s and it becomes 90 m/s after speeding up at constant rate. so the average velocity of the journey is

[90+30] /2

=60 m/s

find the value of root 121 + 3 over root 125

Answers

The value of the given expression √121 + ∛125 would be 16 which is determined by the square root and cube root properties.

What is Prime Factorization?

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The expression below which is given in the question

⇒ √121 + ∛125

Here 11×11 = 121 and 5×5×5 = 125

⇒ √(11×11) + ∛(5×5×5)

By the square root and cube root properties to get

⇒ 11 + 5

Apply the addition operation,

⇒ 16

Thus, the value of the given expression √121 + ∛125 would be 16.

Learn more about Prime Factorization here:

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PLEASE PLEASE HELP ME I NEED HELP IM CONFUSED!!!!
( show the work MANDATORY)
WRITE EACH FRACTION AS A DECIMAL. USE A BAR TO SHOW REPEATING DECIMAL.
1.) 7/10
2.) 1/4
3.)-3/10
4.)1/8
5.) 7/30
6.) 7/11
7.)-3/5

Answers

Answer:

1. 0.7

2. 0.25

3. -0.3

4. 0.125

5. 0.23

6. 0.64

7. -0.6

Step-by-step explanation:

First divided those fractions, then you got those repeating decimals.

Answer:

1.) 0.7

2.) 0.25

3.) -0.3

4.)0.125

5.)0.233 (bar on top of threes)

6.)0.63 (bar on top of 6 and 3)

7.)-0.6

Step-by-step explanation:

1.) 7 divided by 10

2.)1 divided by 4

3.) -3 divided by 10

4.)1 divided by 8

5.)7 divided by 30

6.)7 divided by 11

7.)-3 divided by 5

A school conference room can seat a maximum of 83 people. The principal and two counselors need to meet with the school's
student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum
number of students that can attend each meeting?

Answers

Answer:

Including the princpal and two counselors, only 40 students will be able to attend each meeting.

If the principal and two counselors dont attend, then 41 students can attend with one of their parents.

Which pair of triangles is congruent?

Answers

Answer:

The first pair.

Step-by-step explanation:

3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.

what is the x and y intercept of y= 8x-18

Answers

Answer:

The x-intercept is (2.25,0).

The y-intercept is (0,18)

b) The ratio of boys to girls in a school is 12:25. If there are 120 boys.
(i) how many girls are in the school?
(ii) what is the total number of boys and girls in the school?

Answers

Answer:

250 girls in the school and 370 students all total

Step-by-step explanation:

250 girls are in the school and 390 total students in the school.

What is Ratio?

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

The ratio of boys to girls in a school is 12:25

Let, No. of boys in the school = 12x

No. of girls in the school = 25x

Total students in the school = 12x+25x = 39x

Given, there are 120 boys

So, 12x = 120

x = 10

No. of girls in the school = 25x = 25(10)

No. of girls in the school = 250

Total students in the school = 39x = 39(10)

Total students in the school = 390

Hence, 250 girls are in the school and 390 total students in the school.

Learn more about Ratio

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PLEASE PLEASE HELP!! WHAT EXACTLY SHOULD I TYPE DOWN IN THE BOX?

Answers

The area of a triangle is 1/2 x base x height.

The base is 2 , the height is 4.

Area = 1/2 x 2 x 4 = 4 square cm.

The area of a square is s^2

S is the length of a side, which is 2

Area = 2^2 = 4 square cm

Both shapes have an area of 4 square cm

Answer: 4.5.

Step-by-step explanation for the triangle:

A = 1/2 ⋅ b ⋅ h  A = 1/2 ⋅ 3 ⋅ 3  A= 4.5

                       OR

Step-by-step explanation for the square:

A = a^2 = 2^2 = 4 = 4.5

2 X + 3 = X + 1. find the value of x​

Answers

Step-by-step explanation:

2x + 3 = x + 1

x + 3 = 1

x = -2

Answer:

x= -2

Step-by-step explanation:

2x+3=x+1

   -3     -3

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

2x = x - 2

-x    -x

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

x= - 2

what number times itself to be 49

Answers

Step-by-step explanation:

x × x = 49 there are two values for x

1) 7 because 7 × 7 = 49

2) -7 because -7 × -7 = 49 the square value for negative numbers is positive.

The number 7 times itself equals the number 49.

find the coordinates of H' after a reflection across the parallel lines; first across y = -2 and then across y = 2. Answer in form (a,b). Part 7a

Answers

Answer: H' = (-4, 4)

Step-by-step explanation:

H = (-4, -4)

reflect across y = -2:

H is 2 units below y = -2 so when reflected it will be 2 units above y = -2

--> the x-coordinate doesn't change    the new y-coordinate is: 0

H' = (-4, 0)

reflect across y = 2:

H' is 2 units below y = 2 so when reflected it will be 2 units above y = 2

--> the x-coordinate doesn't change    the new y-coordinate is: 4

H'' = (-4, 4)

Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15

Answers

Enter them into your calculator to get the decimal versions. Then you can easily order them from smallest to largest.

7/10=0.7
2/3=0.667
4/5=0.8
11/15=0.733

Answer:

2/3, 7/10, 11/15 and 4/5

Step-by-step explanation:

2/3=0.66

7/10=0.7

11/15=0.73

4/5=0.8

Dan invests £1000 into his bank account. He receives 10% per year simple interest. How much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.

Answers

Answer:

1200

Step-by-step explanation:

i=prt is the interest equation however we must find the total because it says After 2 years

first lets do 1000*.1*2=200

1000+200=

1200

Simplify (5+1)²-(11+3²)÷4

Answers

Answer:

-13

Step-by-step explanation:

(5+1)²-(11+3²)÷4

(6)-14^2 divided by 4

36-14^2/4

13-196/4

13-49

-13

Answer & Step-by-step explanation:

(5 + 1)² - (11 + 3²) ÷ 4

Following the rules of order of operation, the first thing we have to do is the operations in the parentheses ().

(6)² - (11 + 3²) ÷ 4

Next, solve for your exponents.

36 - (11 + 9) ÷ 4

Next, do the operations in the parentheses ().

36 - (20) ÷ 4

Now, divide -20 by 4.

36 - 5

Subtract 5 from 36.

31

So, your final answer to this equation is 31.

A triangle has two sides with the lengths 8m and 15 m. Which of the following lengths could represent the length of the third side? Choose all that apply. 1. 23m 2. 4m 3. 10m 4. 14m 5. 7m

Answers

Answer:

3. 10m

4. 14m

Step-by-step explanation:

Angle inequality rule: A triangle can only form if it's 2 shortest sides add up to have MORE length than it's longer side.

1. 23 m

2. 4m

3. 10m

4. 14m

5. 7m

1 doesn't follow the angle inequality rule.

2 doesn't follow the angle inequality rule.

3 can be the third side.

4 can be the third side

5 doesn't follow the angle inequality rule.

w(x) = 2x^3+ 3x; Find w(3)

Answers

Answer:

63

Step-by-step explanation:

w(x) = 2x³ + 3x

Put x as 3.

w(3) = 2(3)³ + 3(3)

Solve for the power.

w(3) = 2(27) + 3(3)

Multiply the terms.

w(3) = 54 + 9

Add both the terms.

w(3) = 63

Answer:

63

I hope it helps :)

Step-by-step explanation:

[tex]w(x) = 2x^3+ 3x\\w(3)\\w(3) = 2(3)^3 +3(3)\\w(3) = 2(27) +9\\w(3) = 54+9\\w(3) =63[/tex]

Giardo is using the model below to solve the equation 3×+1 = 4×+(-4) which step could be adjusted so that Gerardo final step results in a positive x value

Answers

Answer:

The answer is B. In step one he should have added 3 negative x-tiles to both sides.

See attachment for complete question.

Answer:

The correct option is B.

In step one he should have added 3 negative x-tiles to both sides.

Step-by-step explanation:

Given the equation

3x + 1 = 4x + (-4)

Adding 3 negative x tiles, we have

3x + 1 + (-3x) = 4x + (-4) + (-3x)

1 = x - 4

x = 1 + 4 = 5

The diagram shows a solid which is half of a cone. Calculate the total surface area of the solid.
a. ( 48 + 48[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
b. ( 48 + 15[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
c. ( 48 + 30[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
d. ( 24 + 15[tex]\pi[/tex] ) [tex]cm^{2}[/tex]

Answers

Answer:

100πcm².None of the options is correct

Step-by-step explanation:

Total surface area of a cone [tex]S[/tex] = [tex]\pi r^{2}+\pi rl\\[/tex]

Since the diagram is half of a cone, its surface area will be [tex]S = \frac{\pi r^{2} +\pi rl}{2}[/tex]

r = radius of the cone

l = slant height

From the diagram diameter of the cone = 16m;

r = 16/2 = 8m

l = 17m

[tex]S = \frac{\pi (8)^{2} +\pi (8)(17)}{2}\\S = \frac{64\pi + 136\pi }{2} \\S = 32\pi + 68\pi \\S = 100\pi cm^{2}[/tex]

What is the value of this expression 14−3? 164 112 12 64

Answers

Answer:

11

Step-by-step explanation:

14-3 = 11

you have 14 apples and you eat 3 of them. wow! now you have 11 apples!

What is the equation of a line with a slope of 8 and a y-intercept of 6

Answers

Answer:

y=8x+6

Step-by-step explanation:

m=slope

c=y-intercept

y=mx+c

y=8x+6

Answer:

y=8x+6

Step-by-step explanation:

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