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3 years ago

Kevin can travel 22 1/2 miles in 1/3 hour. what is his average speed in miles per hour

2 answers:

7 0

D=vt (distance equals velocity times time)

v=d/t (velocity equals distance divided by time) In this case:

v=(22 1/2mi)/(1/3hr)

v=(45mi/2)/(3/hr)

v=(45*3)/2 mph

v=67.5 mph

We can easily check our answer since d=vt so:

d=(67.5mi/hr)(hr/3)=22.5 miles, so it was correct.

klemol [59]3 years ago

4 0

We know that speed * time = distance

Before we start we need to make sure the units for all three numbers are right

The time is 1/3 of a hour, 1/3*60 = 20 minutes

x * 20 = 22.5

x *2 * 10 = 22.5

2x = 2.25

x = 1.125

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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

He following formula is used in economics to find a factory's unit labor cost UUU, where OOO is the hourly output per worker and

Vilka [71]

Answer:

W = O/U

Step-by-step explanation:

U/1 = O/W

WU=O

W = O/U

4 0

3 years ago

Another question i will give brainlilest!

Strike441 [17]

Answer:

2π

Step-by-step explanation:

Area = πr^2

= π2^2

= 4π

4π is the area of the whole circle, so divide it in half to get the semicircle.

= 2π

5 0

3 years ago

The graph f(x) is a transformation of the graph y=g(x).

PolarNik [594]

Answer:

Thats hard

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone

nevsk [136]

Answer:

a) 6 gigabytes

b) $100

Step-by-step explanation:

Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.

For the first smartphone

One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.

Equation =

c = 52 + 8d

For the Second smartphone

A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.

Equation =>

c = 82 + 3d

How many gigabytes would have to be used for the plans to cost the same?

We would equate both cost to each other

52 + 8d = 82 + 3d

Collect like terms

8d - 3d = 82 - 52

5d = 30

d = 30/5

d = 6

Therefore,

a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.

b) The cost of both plans if 6 gigabytes is used =>

c = 52 + 8d

c = 52 + 8 × 6

c = $100

3 0

3 years ago