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o-na [289]
3 years ago
9

Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The

Mathematics
1 answer:
julsineya [31]3 years ago
4 0

Answer:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

h(t) = 10 - 2t^2

Where t is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be <em>0 seconds</em>.

And the value of height can not be lesser than that of 0 ft.

0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

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Step-by-step explanation:

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2 years ago
Can some one please help me !!
irina1246 [14]
Should be 55 I believe
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3 years ago
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Y = – 3
KonstantinChe [14]

The  best approximation for the solution to this system of equations is (-2.2,-3)

Option C is correct.

Step-by-step explanation:

Solving the system of equations to get the exact value of x:

y = -3\\y = x-0.8

Let

y = -3\,\,eq(1)\\y = x-0.8\,\,eq(2)

Putting value of y from eq(1) into eq(2)

-3=x-0.8

x=-3+0.8

x=-2.2

So, Value of x is -2.2

The  best approximation for the solution to this system of equations is:

x=-2.2 and y = -3

(-2.2,-3)

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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3 years ago
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Which one is right triangle angle <br>a. 45, 55 and 35<br>b. 52, 48 and 20​
Gemiola [76]
<h2>option b. 52, 48 and 20</h2>

Step-by-step explanation:

<u>let's solve:-</u>

  • To test whether given this triangle is right triangle or not, we can use the Pythagorean Theorem .

soo

Pythagorean Theorem=

\bold \green{(leg1)^{2} +(leg2)^{2} =(hypotenuse)^{2} }

<h2>_____________________________________</h2>

Here:-

\bold \blue{leg \: 1 = 48} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\ \bold  \blue{ leg2 = 20} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \bold\blue{hypotenuse = 52}

Putting values:-

{48}^{2}  +  {20}^{2}  = {52}^{2}   \:  \:  \:  \:  \:  \: \\  \\ 2304 + 400 = 2704 \\  \\ 2704 = 2704 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

<h2>_____________________________________</h2>
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2 years ago
The sum of three consecutive even numbers is 144. What is the smallest of the three numbers ?​
ikadub [295]

Answer:

2

Step-by-step explanation:

132+10+2=144

3 0
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