What is the answer ?

How many times around the Earth is 3.7 trillion apples ?<br><br>Show how you worked it out please.

shepuryov [24]

The Earth's circumference is 24,901 miles.
Assuming an apple is 3 inches wide:
3.7 trillion apples is 3/12/5280*3000000000000=142045454.545 miles.
That is 142045454.545/24901=5704.408 times around the Earth.

5 0

3 years ago

Design a Roller Coaster Portfolio

scoray [572]

1) The domain is [0,300]. The range is [0,250]

2) The slope for the initial climb is 3.57. The equation of the line is $y=3.57 x$

3) The rate of change of the second hill is -1.4

4) The rate of change of the third hill is -2.1

5) The blue hill is steeper

6) It is not a function

Step-by-step explanation:

1)

The domain of a function is the set of values of x (the input) for which the function itself is defined.

Instead, the range of a function is the set of values of y (the output) that the function can take.

To find the domain, we have to look at the x-axis and see for which values of x the function is defined. By looking at the graph, we see that the function is defined between

x = 0 and x = 300

So, the domain is [0,300].

To find the range, we have to look at the y-axis and see for which values of y the function has an output. By looking at the graph, we see that the function has values of y between

y = 0 and x = 250

So, the range is [0,250].

2)

The slope of a function in a certain range is given by

$m=\frac{\Delta y}{\Delta x}$

where

$\Delta y$ is the change in the y-coordinate

$\Delta x$ is the change in the x-coordinate

For the initial climb (pink line), we have:

$\Delta y = 250 - 0 = 250\\\Delta x = 70 - 0 = 70$

Therefore, the slope in this part is

$m=\frac{250}{70}=3.57$

We can now write the equation of the line in the form

y = mx + b

where b is the y-intercept: since it is zero, the line has simply the form

$y=mx \rightarrow y = 3.57 x$

3)

Again, to calculate the slope of the hill, we use:

$m=\frac{\Delta y}{\Delta x}$

where

$\Delta y$ is the change in the y-coordinate

$\Delta x$ is the change in the x-coordinate

For the green hill, we have:

$\Delta y = 60-200 = -140$

$\Delta x = 300-200 = 100$

So the rate of change is

$m=\frac{-140}{100}=-1.4$

4)

As before, the rate of change of the hill is

$m=\frac{\Delta y}{\Delta x}$

For the blue hill, we have:

$\Delta y = 30-230 = -300$

$\Delta x = 200-60 = 140$

So the rate of change is

$m=\frac{-300}{140}=-2.1$

5)

To know which hill is steeper, we need to compare the magnitude of their rate of change.

In fact, both hills have rate of change negative - because we are going down along the slope. Therefore, we have to consider the magnitude of their slope.

For the green hill:

$|m| = 1.4$

For the blue hill:

$|m|=2.1$

We see that the blue hill has a greater slope (in magnitude): therefore, the blue hill is steeper.

6)

A function is defined as a mapping (operation between two sets of variables) in which to one value of x (the input) corresponds one and only one value of y (the output).

This means that a function cannot have multiple values of y for the same x (the input).

By looking at the graph, we see that this function does not respect this criterium: in fact, we see that certain values of x give multiple values of the output, y (for instance, at x=300 the function has two values). So, this is not a function.

Learn more about functions:

brainly.com/question/3511750

brainly.com/question/8243712

brainly.com/question/8307968

#LearnwithBrainly

5 0

4 years ago

Read 2 more answers

You are remodeling your kitchen. You've contacted two tiling companies who gladly told you how long it took their workers to til

quester [9]

Ok so pete lays 10 more than jim per hour

pete and jim laid same amount of tiles

j=jim's rate
p=pete's rate

6j=5p

but pete lays 10 tile per hour faster so
p=10+j

sub
6j=5(10+j)
6j=50+5j
minus 5j both sides
j=50

jim can lay at 50 tiles per hour

7 0

3 years ago

Read 2 more answers

8 mi. 133 yd. 2 ft. – 5 mi. 107 yd. 2 ft.

Murrr4er [49]

8 mi. 133 yd. 2 ft. - 5mi. 107 yd. 2 ft.

= (8 mi. - 5 mi.) + (133 yd. - 107 yd) + (2 ft. - 2ft.)

= 3 mi. +26 yd.

8 0

3 years ago

The original cost of Sam’s investment is $10,000. After liquidating the investment, Sam calculated his real return to be $10,700

OverLord2011 [107]

Answer:

Return on investment (ROI) = 7%

Step-by-step explanation:

Given:

Amount invested = $10,000

Total amount get (refund) = $10,700

Find:

Return on investment (ROI) = ?

Computation:

Amount Return = Total amount get (refund) - Amount invested

Amount Return = $10,700 - $10,000

Amount Return = $700

$Return\ on\ investment \ (ROI) = [\frac{Amount\ Return}{Amount\ invested} ]100\\\\Return\ on\ investment \ (ROI) = [\frac{700}{10,000} ]100 \\\\ Return\ on\ investment \ (ROI) =7$

Return on investment (ROI) = 7%

3 0

3 years ago