PLEASE HELP ME OUT PLEASE AND I WILL GIVE BRAINLIES!!!!!!

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

julsineya [31]

Answer:

Interval notation: [0, 2.236]

Set Builder notation: $\{t\ |\ 0\le t\le 2.236\}$

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:

Domain of a function 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 0 seconds.

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:

Interval notation: [0, 2.236]

Set Builder notation: $\{t\ |\ 0\le t\le 2.236\}$

4 0

3 years ago

Solve this system of linear equations. Separate

AleksAgata [21]

7x=-63-11y-(1)
8x=93+11y--(2)

Adding both

15x=30
x=2

Putting in second one

8(2)=93+11y
11y=16-93
11y=-77
y=-7

5 0

2 years ago

Read 2 more answers

Please help me!! I don’t know how to do this

Hatshy [7]

If you look at the rectangle properly, you can see that the diagonal creates two triangles, and if we only focus on one triangle, we can see that the bad of the triangle is 7 and the perpendicular height is 4

Using Pythagorean theorem we can figure out the hypotenuse, or the diagonal
C squared is equal to a squared plus b squared

7^2+4^2 is 65

Square root of 65 is 8.1

3 0

3 years ago

Can someone answer this and give an explanation

Alik [6]

Answer: 27

Explanation: Bunny&Cat=10kg it can be 1/9,2/8 etc. it’s 3/7 Bunny 3 Cat 7. With that we know the Dog weighs 17 kg. 17 Dog + 7 Cat= 24. With that it’s easy, 3+7=10+17=27

6 0

2 years ago

How many quarts does it take to fill a kitchen sink

Anna [14]

The average kitchen sink has a width of approximately 23.5 inches, a length of approximately 31.5 inches, and a depth of approximately 21 inches.

Multiplying these values together, we can see that the volume of the average kitchen sink is about 15545.25 cubic inches.

The conversion of cubic inches to liquid gallons is 1 cubic inch = approximately 0.004329 gallons.

Multiplying these numbers, we can see that 15545.25 cubic inches is the same as approximately 67.29538725 gallons. Now, we just have to multiply that number by 4, since there are 4 quarts in a gallon.

67.29538725 * 4 = 269.181549

It takes approximately 269.181549 quarts to fill the average kitchen sink.
Hope that helped =)

3 0

3 years ago