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# Math and Arithmetic

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Cards in this guide (28)
What term describes an educated guess about what the answer to a question might be

hypothesis
A hypothesis.

Convert 240 miles per hour to feet per second

352 feet per second I HATE APLUS!!!!!!!!!!!!!!

A rocket accelerates at a rate of 30 ms for 2 minutes What is its change in velocity

A rocket accelerates at a rate of 30 m/s¶ for 2 minutes. What is its change in velocity?

A race car starts from rest and accelerates uniformly to a speed of 40 ms in 8.0 seconds how far will the car travel during the 8 seconds

160 m

A plane is uniformly accelerated from 60 ms to 80 ms in 12 seconds what is the distance traveled by the plane during this period

((60m/s+80m/s)/2)x12s=840m

The custom of watching fireworks on the Fourth of July would be studied by this social science

a- Anthropology

A jogger runs at an average speed of 5 ms for 3 minutes then finishes with an average speed of 4 ms for 2 minutes What is his average speed in ms for the run

4.6ms

How long will it take a sailboat traveling at the rate of 5 miles per hour to sail 120 miles

It will take a sailboat 24 hours traveling at 5 miles per hour to sail 120 miles.

A speed bike tops a hill at 3.50 ms and accelerates steadily down the hill until reaching a speed of 11.4 ms after 4.20 seconds How far did the bike travel during this period

31.30

Which of these rates is slowest 1760 yardsminute 60 mihr or 88 ftsec

When you convert it, you will find out that they're all the same.

How long will it take a driver to drive 300 miles by maintaining a constant speed of 60 miles per hour

Time = Distance/Speed = 300 miles/60 mph = 5 hours

Find the uniformed acceleration that causes a car's velocity to increase from 32 ms to 96 ms in a period of 8.0 seconds

The average uninformed acceleration is (delta-V) / (delta-T). Delta-V = (96 - 32) = 64 m/s. Delta-T = 8.0 seconds. A = (64 m/s) / (8.0 sec) = 8 m/s2

A progressive tax means that as taxable income increases the percentage of income paid on taxes also increases

True(Kaylop)

The tangent of an angle equals the ratio of the

Sine of the angle to its cosine.

You drive to Austin Texas 300 miles in 5 hours but the return trip takes you 7 hours what is your average speed for the trip in miles per hour

You've done 600 miles in a total of 12 hours, therefore your average speed was 600/12 = 50 mph.

Which of these measurements is not a scalar quantity

5 ft/sec,north

Look at the pie graph pictured How many students ate in the cafeteria

125

A driver traveling at a speed of 21 ms tops a hill and spots a deer standing in the middle of the road 90 meters away He hits the brakes and panic stops the car in 8 seconds How far did the car travel

Assuming that his acceleration was linear (ie. that he slowed down at a perfectly steady rate), then you can say his velocity at any point in those eight seconds was:

21 - t(21 / 8) m/s

To get the distance covered in that time, you can simply take the area under that line between 0 seconds and eight seconds. Because it's linear, this is very easy. You're dealing with a right triangle that is 8 seconds wide and 21 meters per second tall. With a triangle, the area is equal to half it's width times it's height, so the equation is:

d = 21m/s * 8s / 2

∴d = 168m / 2

∴d = 84m.

So he traveled 84 meters in those 8 seconds, and probably scared the bejeebers out of that poor deer.

Average speed = 21/2 m/s , Time =8 s, Distance = 8 x 21/2 = 84m

A plane traveling at 80 ms lands on a runway and comes to rest after 10 seconds What was the plane's deceleration

-80/10 = -8 m/s2

How far does a plane fly in 15 seconds while its velocity is increasing from 75 ms to 145 m s at a uniform rate of acceleration

If it accelerates from 75 m/s to 145 m/s at a uniform rate, then its average speed during

the acceleration is 0.5(145+75) = 110 m/s.

Distance covered in 15 sec at average speed of 110 m/s = (15 x 110) = 1,650 m = 1.65 km.

The trip took 317 days What was the average speed of the sailboat in miles per hour Round to the nearest tenth of a mile hour

We're missing a value, we'll need the distance traveled to determine that.

You drive a car 2 hours at 40 miles per hour 2 hours at 60 miles per hour how many miles will you travel

If you drive a car at 40 miles per hour for two hours,then the distance covered will be 80 miles.If you drive the car for another 2 hours at 60 miles per hour ,then you will cover another 120 miles.The total distance you will cover is thus 80 miles + 120 miles = 200 miles.

What is the best definition of the word repletion

Based on the information in this passage, what is the most likely meaning of the underlined word?

How many airmiles from Oklahoma city to dallas

Air miles from Oklahoma City, Oklahoma, to Dallas, Texas, total 191 miles. That is 307 kilometers or 166 nautical miles.

What type of measurement is this 12 feet up scalar or vector

A scalar has distance but no direction.

A vector has distance and direction.

"12 feet up" has distance (12 feet) and direction (up), so is a vector.

Is 55 miles per hour a vector quantity or scalar quantity

(55 miles per hour) is a scalar.

(55 miles per hour heading north) is a vector.

What can be concluded from the information in this reading passage The last of the Mohicans

hawkeye liked plants

What of these is always part of using the scientific method

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