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4 years ago

A scientist studied the migration patterns of two types of whales.

Mathematics

1 answer:

boyakko [2]4 years ago

5 0

Answer:

2240/28=80 mpd

80*32 days=2560 miles

2560 miles-2368 miles=192

the humpback whales would have traveled 192 more miles than the gray whales after 32 days.

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Which of the following best represents the average speed of a fast runner?

Tpy6a [65]

For the answer to the question above, the easiest way to determine is changing every runner's speed into the same unit.

First = 10 m/s 

Second = 10 miles/min = 16090.34 / 60 m/s (As 1 mile = 1609.34 meter and 1 min = 60 sec) 
Second = 260.82 m/s 

Third = 10 cm/hr = 10*(0.01)/60*60 (As 1 cm = 0.01 m and 1 hr = 60*60 sec) 
Third = 0.000028 m/s 

Fourth = 10 km/sec = 10*1000 m/s (As 1 km = 1000 m and time is already in sec) 
Fourth = 10000 m/s 

So fastest would be the one who covers the largest distance in 1 sec. It would be the fourth one.

3 0

3 years ago

Read 2 more answers

Ann is using a recipe that serves 20 people. the recipe requires 1/2 of a cup of sugar. how many cups of sugar does ann beed to

Setler [38]

Answer:

1 1/4 cup

Step-by-step explanation:

4 0

3 years ago

Graph f(x) = 3x + 2 PLEASE HURRY

PtichkaEL [24]

Answer:

See attached

Step-by-step explanation:

Given

f(x) = 3x + 2

The graph for the function is attached

5 0

3 years ago

Help help I don’t really get this???

insens350 [35]

Answer:

Question 4: $y=\displaystyle -\frac{4}{5}x$

Question 5: $y=-5x-3$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the y-coordinate of the point where the line crosses the y-axis).

Question 4

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$ where two points that pass through the line are $(x_1,y_1)$ and $(x_2,y_2)$

In the graph, two easy-to-identify points on the line are (-5,4) and (5,-4). Plug these into the equation:

$\displaystyle m=\frac{-4-4}{5-(-5)}\\\\\displaystyle m=\frac{-4-4}{5+5}\\\\\displaystyle m=\frac{-8}{10}\\\\\displaystyle m=-\frac{4}{5}$

Therefore, the slope of the line is $\displaystyle -\frac{4}{5}$ . Plug this into $y=mx+b$ as the slope (m):

$y=\displaystyle -\frac{4}{5}x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis when y is 0. Therefore, the y-intercept (b) is 0. Plug this into $y=\displaystyle -\frac{4}{5}x+b$ :

$y=\displaystyle -\frac{4}{5}x+0\\\\y=\displaystyle -\frac{4}{5}x$

Question 5

1) Determine the slope (m)

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Two easy-to-identify points are (-1,2) and (0,-3). Plug these into the equation:

$\displaystyle m=\frac{-3-2}{0-(-1)}\\\\\displaystyle m=\frac{-3-2}{0+1}\\\\\displaystyle m=\frac{-5}{1}\\\\m=-5$

Therefore, the slope is -5. Plug this into $y=mx+b$ :

$y=-5x+b$

2) Determine the y-intercept (b)

On the graph, we can see that the line crosses the y-axis at the point (0,-3). The y-coordinate of this point is -3. Therefore, the y-intercept (b) is -3. Plug this into $y=-5x+b$ :

$y=-5x+(-3)\\y=-5x-3$

I hope this helps!

8 0

3 years ago

Find the sample space for the experiment.

Bingel [31]

Answer:

The sample space is:

$AB,\ AC,\ AD,\ AE,\\BC,\ BD,\ BE\\CD,\ CE\\DE$

Step-by-step explanation:

The sample space of an experiment is a set of all the possible values that satisfies that experiment.

The five supervisors are A, B, C, D and E.

Two are to selected.

The number of ways to select 2 supervisors from 5 is: ${5\choose 2}=\frac{5!}{2!(5-2)!} =\frac{5!}{2!\times 3!} = 10$

The sample space will consist of 10 combinations.

The sample space is:

$AB,\ AC,\ AD,\ AE,\\BC,\ BD,\ BE\\CD,\ CE\\DE$

5 0

4 years ago