A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth

Answers

Answer 1

Answer:

h= -20

t = -0.104 and -2.39s

Step-by-step explanation:

A juggler tosses a ball into the air. The balls height, h, and the t seconds can be represented by the equation h(t)=16t^2+40t+4. Suppose the juggler missed and the ball hit the ground. Find the maximum height of the ball and the time it took the ball to reach the ground. Round all answers to the nearest hundredth

The velocity of the body at its maximum height is zero

V= dh/dt

dh/dt = 32t + 40

0 = 32t+40

-32t = 40

t = 40/-32

t = -1.25s

Substitute t = -1.25 into the expression

h(t)=16t^2+40t+4.

h(-1.25)=16(-1.25)^2+40(-1.25)t+4.

h = 16(1.5625)-50+5

h = 25-45

h =-20

Hence the maximums height is -20m

The ball will reach the ground at h = 0

Substitute

h(t)=16t^2+40t+4.

0 = 16t^2+40t+4

Divide through by 4

0 = 4t²+10t+1

Factorize

-10±√10²-4(4)/2(4)

t = -10±√100-16/8

t = -10±√84/8

t =-10+9.17/8

t = -0.83/8 and -19.17/8

t = -0.104 and -2.39s


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Answer:

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Step-by-step explanation:

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Answer:

ASA: If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent. SAS: If any two angles and the included side are the same in both triangles, then the triangles are congruent.

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  see below

Step-by-step explanation:

ASA requires two angles and the side that lies between them. The list below is a list of such. (The ends of the segments are the vertices of the angles.)

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Step-by-step explanation:

Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.

The lines outlined in a black box are the correct answers.

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Step-by-step explanation:

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Answers

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Answer:

The answer is 2x + 8

Step-by-step explanation:

which expression is equivalent to
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Answers

Answer:

-2g - 11

Step-by-step explanation:

Expand the brackets, multiply 2 over 3g and -4. One plus and one minus make a minus.

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please help :{

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Answers

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A small cube with side length 6y is placed inside a larger cube with side length 4/2. What is the difference in the
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Answers

Answer:

Step-by-step explanation:

Side length of a small cube = 6y

Side length of a larger cube = 4x²

This small cube is placed inside a larger cube. We need to find the difference in the  volume of the cubes.

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Volume of lager cube,

[tex]V_2=(4x^2)^3\\\\=64x^6[/tex]

Difference in the volume of the cubes,

[tex]\Delta V=V_2-V_1\\\\=64x^6-216y^3[/tex]

We can simplify the above expression :

[tex]\because \ (a^3-b^3)=(a-b)(a^2+ab+b^2)\\\\(4x^2)^3-(6y)^3=(4x^2-6y)((4x^2)^2+4x^2\times 6y +(6y)^2)\\\\=(4x^2-6y)(16x^4+24x^2y+36y^2)[/tex]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

I think so

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Answer:

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Step-by-step explanation:

there ain't nothing 2 solve

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Step-by-step explanation:

Which expression is equivalent to the one below?
3(10+)
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Answer:

Do you have a picture, I can answer you faster?

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given that:

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Answers

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Answers

This question is incomplete. There isn’t enough data to display an answer

3/4 of a bag of dog food will last for 2.25 days.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

Given :

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Rectangular equation formed by eliminating the parameter.

Solution :

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We get :

[tex]y = ( x-5)^3[/tex]

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[tex]t = \sqrt[3]{y}[/tex]

Putting the value of t and equation two, we get :

[tex]x = \sqrt[3]{y}+5[/tex]

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A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

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The above equation represents a cubic equation.

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Thing
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Answers

Answer:

I don't see a picture but the circumcenter is usually inside the triangle.

(a) 4x - 3y = 6,
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g​

Answers

a.4x=3y+6 we found the x that x=+3/4+3/2
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Answer:

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Step-by-step explanation:

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Answer:

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