A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second from a height of 11 meters. The equation h(t)=

4.9t2+9t+11 models the height of the bowling pin in meters after t seconds.
About how many seconds does it take for the bowling pin to hit the ground?
Round your answer to the nearest tenth of a second.

Answers

Answer 1

Answer:

2.7

Step-by-step explanation:

yes i'm correct

Answer 2

A circus juggler on the highwire gives a bowling pin a final toss into the air with an initial velocity of 9 meters per second from a height of 11 meters. The time taken by the object to hit the ground is 2.7 seconds.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable.

The standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

It is given that,

Initial velocity of an object, u = 9 m/s

Height, h = 11 m

The equation that models the height of the object in meters after t seconds is :

[tex]h(t)= -4.9t^2+9t+11[/tex]

We have to find the time it take for the bowling pin to hit the ground

i.e.   [tex]-4.9t^2+9t+11=0[/tex]

On solving the above quadratic equation, we get the value of time t is :

t = 2.7 seconds

Hence, The time it takes to hit the ground would be 2.7 seconds.

Learn more about quadratic equations here:

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Related Questions

how do you turn 20 into a fraction?
Step by step explaination

Answers

Answer:

20 can work as an improper fraction, like 20/1. or you can de-simplify it or whatever it's called and make it like 40/2 or 80/4. Hope this helps. :)

Step-by-step explanation:

p

The answer is [tex]\frac{40}{2}[/tex] or [tex]\frac{60}{3}[/tex]

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

[tex]\frac{20x2}{1x2}[/tex]= [tex]\frac{40}{2}[/tex]

[tex]\frac{20x3}{1x3}[/tex]= [tex]\frac{40}{3}[/tex]

(hope this help you :D)

Amber surveyed a random sample of 100 students from her middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey:

Hamburgers Spaghetti Pizza
Sample #1 44 43 13
Sample #2 39 41 20
Which of the following inferences can be made based on the data? (5 points)

a
Hamburgers are the most preferred lunch.

b
Pizza is two times more popular than spaghetti.

c
Pizza is two times more popular than hamburgers.

d
Hamburgers and spaghetti are preferred almost equally.

Answers

Answer:

d Hamburgers and spaghetti are preferred almost equally.

HELP
I will mark brainliest just answer quick

Answers

Answer is a I think

What is the angle of depression from the top of a 400-fc foot cable that runs from a towel to a point 325 feet away

Answers

45.6 degrees
Step-by-step explanation



First of all this needs to be recognized as a right triangle problem. The angle of depression is the angle outside the triangle that is complementary to the vertex angle (the angle at the top). Geometrically, this angle is congruent to the base angle inside the triangle (NOT the right angle).

the length of the altitude from the right angle to the hypotenuse of a right triangle is the _______ mean of the two segments that makes the hypotenuse.

Answers

Answer:

The length of the altitude from the right angle to the hypotenuse of a right triangle is the geometric mean of the two segments that make the hypotenuse.

PLEASE HELP I RESLLY NEED IT SHOW WORK BRAINLIEST AND 20 POINTS

Answers

MY GUESS: =====C: 4 inch

Step-by-step explanation:

12^2 + B^2 = 20^2

144+B^2 =400

200-144 = 56 = B^2

B^2 = 7.48331477355

7.48331477355 - 3 = 4ish inches

Answer:

[tex]i \: think \: 4 \: inches[/tex]

I hope it helps

have a nice day

#Capaainpower

solve for A no links​

Answers

Answer:

71.1 degrees

Step-by-step explanation:

The side opposite angle A is 35 and that adjacent to angle A is 12.  The trig function that connects A and these two sides is

tan A = (opp) / (adj)

which here is

tan A = 35/12.  Find A using a calculator's arctan function:

arctan 35/12 = 1.25 radian or 71.1 degrees.

Please help don’t understand will mark brainliest be geniune no links

Answers

Answer:

226.19 cubic kilometers

Step-by-step explanation:

In the photo.

which of these are qualdrilateral

Answers

Answer:

any four sided closed shape

Step-by-step explanation:

can you add the option?

Answer:

Square, Rectangle, Rhombus, Trapezoid, Parallelogram.

The painting shown at the right has an area of 260 in^2. What is the value of x?

Answers

Answer:

rt The painting shown at the right has an area of 420 in.2. What is the value of x? Step-by-step solution. Step 1 of 5. The area of a rectangular painting of length ...

Step-by-step explanation:

1. Given:
-2x +1, x <-2
f(x) = {5,-2 <x<3
*+4,x>3
2
Evaluate: A) f(-2) B) f(0)C) f(5)
D) Sketch the graph of f(x)​

Answers

picture????


plss!!!!?!?!!?!!?!!?

A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the length of the rectangle.

What is the length of the rectangle?

0.75 units
1.5 units
3 units
6 units

Answers

Answer:

6 units

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

A rectangle’s width is one-fourth of its length.

W = 1/4 × L

W = L/4

Cross Multiply

L = 4W

A = 9 square units

Hence

9 = L × W

We substitute 4W for L

9 = 4W × W

9 = 4W²

We square root both side

√9 = √4W²

3 = 2W

W = 3/2

W = 1 1/2 unit or 1.5 units

Solving for L = Length

9 = L × W

9 = L × 1.5

L = 9/1.5

L = 6 units

Therefore, the Length of the rectangle = 6 units

solve (4*3) + 2 , how are you all , freeee points​

Answers

Step-by-step explanation:

hope it is helpful to you

Answer:

14 is the answer.

Step-by-step explanation:

(4 × 3) + 2 = ?

→ (4 × 3) + 2

→ 12 + 2 = 14

Solve for X


explain the process for this problem​

Answers

Answer:

x = 40

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

126° is an exterior angle of the triangle, then

x + 2x + 6 = 126

3x + 6 = 126 ( subtract 6 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40

What would be the reason?

Answers

Answer:

For what comment it and ill answer

Step-by-step explanation:

Answer:

The reason for what?

Nothing else is here.

What value of x makes the following equation true? Show your work.
2/3x+4=22

Answers

Answer:

27

Step-by-step explanation:

2/3x27=18

18+4=22

Answer:

2/3x=22-4

2/3x=18

X=18*3/2

X=9*3

therefore X =27...

hope it helps

answer both. please help. i will etransfer you if u can answer all my questions!!!!

Answers

Answer:

honestly i dont know :(

Step-by-step explanation:

Answer:

a: -5

k: 1/4

d: 3

c: 2

[tex]g(x) =2-\frac{5}{4(x-3)}[/tex]

Step-by-step explanation:

Explanation is in Picture. Reflections across x-axis make a negative.

For b), look up 'Transformations of the 1/x function' and watch the video by Ragini Narasimhan. He explains it well

In February, Ronald. Read a book that was 98 pages long. In March, he read a book that was 124 pages long. In April, he read a book that was 208 pages long. How many pages did Ronald read in February, March and April?

Answers

Answer:

430

Step-by-step explanation:

You add 98+124 which is 222 then add it plus 208 which is 430

Answer:

the answer is 430 books for 3 months

GIVING BRAINLIST........

Answers

Answer:

36

Step-by-step explanation:

for the equation, we have to add 1 cubed, 2 cubed and 3 cubed together to get the answer. That equation would look like this

1^3 + 2^3 + 3^3

or expanded out

(1x1x1)+(2x2x2)+(3x3x3)

Solving that down, the equation turns into this

1 + 8 + 27

Adding those values together leaves us with 36!

Hope this helped, have a good rest of your day!

Answer:

36

Step-by-step explanation:

[tex]1^{3}[/tex] + [tex]2^{3}[/tex] +[tex]3^{3}[/tex] = 36

[tex]1^{3}[/tex] = 1 x 1 (= 1) x 1 = 1

[tex]2^{3}[/tex] = 2 x 2 (= 4) x 2 = 8

[tex]3^{3}[/tex] = 3 x 3 (= 9) x 3 = 27

27 + 8 + 1 = 36

Hope this helps :)

How do I solve this without it giving me an actual inequality? It’s just the graph and possible solution...

Answers

Answer:

B and C

Step-by-step explanation:

Looking at the graph we can see that:

(1, 5) - lies on the border line, no(1, 0) - in the shaded region, yes(4, 2) - in the shaded region, yes(-1, 5) - lies outside of the shaded region, no(-4, 1) - lies outside of the shaded region, no

Answer:

D.

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!

If (x) = 3x^2+ 10, what is f(-7)?

Answers

Answer:

157

Step-by-step explanation:

3(-7)² + 10

3(49) + 10

147+10

157

- Gage Millar, Algebra 2 Tutor

GIVING 30 PONTS!! PLEASE ANSWER ALL 4!! NO LINKS

Answers

Answer:

See below

Step-by-step explanation:

The measure of all the arcs can be obtained by using 'Central angle and its corresponding arc theorem'.

1. The measure of arc AD is [tex] \boxed {105}\degree [/tex]

2. The measure of arc ABC is [tex] \boxed {205}\degree [/tex]

3. The measure of arc ADB is [tex] \boxed {190}\degree [/tex]

4. The measure of arc BD is [tex] \boxed {85}\degree [/tex]

Which piecewise relation defines a function?
x², X<-2
O y=0, -2 -X?. x24
x² xs-2
O y =
4, -2 x2 +1, x22
(-3x, X<-2
O y =
3, 0 2x, x4
(-3x, XS-4
O y= 3, -5

Answers

The piecewise relation which defines a function is option B.

What is a function?

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable.

The types of function.

In Science, there are different types of functions and these include the following;

Periodic functionInverse functionModulus functionSignum functionPiece-wise defined function

A piecewise-defined function refers to a type of function that is defined by two (2) or more mathematical expressions (equations) over a specific domain. As an example, we have:

[tex]F(x)=\left \{ {{x^3-4} \atop {x+3}} \right.[/tex]

Read more on function here: https://brainly.com/question/4246058

Type the correct answer in the box. Use numerals instead of words. Enter your answer as a fraction in simplest form, using / for the fraction bar.


Erik buys a new combination lock for his locker at the gym. The lock has 3 dials, each with the numbers 0 through 9. The probability that he sets the combination as 4-3-9 is?​

Answers

Answer:

4

step-by-step explanation:

ansver  

Answer from: Quest

SHOW ANSWER

i believe the answers 600m

ansver  

Answer from: Quest

SHOW ANSWER

answer:   2 multiplied by x =24

step-by-step explanation:

ansver  

Answer from: Quest

SHOW ANSWER

i believe b is the answe

Step-by-step explanation:

Which equation(s) represents proportional relationship(s) with a constant of proportionality equal to 2?

Select ALL that apply.
A.y=2x

B.−y=−2x

C.2y=x+2

D.2y=4x

E.y=2+x

F.y+2=2x+2

Answers

Answer:

y=2x

Step-by-step explanation:

Lashonda works mowing lawns and babysitting. She earns $7.80 an hour for mowing and $7.60 an hour for babysitting. How much will she earn for 7 hours of mowing and 4 hours of babysitting?

Answers

Answer:

$85.00

Step-by-step explanation:

7.80 x 7 = 54.6

7.60 x 4 = 30.4

54.6 + 30.4 = 85

The answer is $85.00 I hope this is correct

PLEASE HELP RATIONAL EQUATIONS

Answers

It’s the first one.

HELPPPP PLEASEEEEEEEEE

Answers

Answer:

i have no idea

Step-by-step explanation:

Which pair of triangles can be proven congruent by SAS?

Answers

The third set of triangle can be proven by SAS as both triangles have a congruent angle in between two congruent sides.

Third pair of triangles is congruent by SAS.

What is congruency?

In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

In the third pair, this rule is visible. Two pair of sides are equal to each other and the angles formed at the common vertex of the two sides are equal. Hence, the two triangles are congruent by SAS.

Learn more about congruency here

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resolucion de ese ejercicio por favor

Answers

Answer:

what?

Step-by-step explanation:

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

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