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Vedmedyk [2.9K]
3 years ago
5

A and b are rational numbers. The difference between a and b is

Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer:

Step-by-step explanation:

If a and b are rational and b is not zero, then a/b is also rational. Indeed, if a=m/n and b=p/q, where m,n,p, and q are integers, then a/b=mq/pn, i.e. it is also a ratio of two integers, and is therefore rational.

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A ball is thrown vertically upwards with an initial velocity of 22 m/s. When will its speed be 10
gogolik [260]

Answer:

<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>

Step-by-step explanation:

The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.

If the object is thrown upwards at speed vo, its speed at time t is:

v_f=v_o-g.t

Where g is the acceleration of gravity g=9.8 m/s^2.

Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.

Solving the above equation for t:

\displaystyle t=\frac{v_o-v_f}{g}

Substituting:

\displaystyle t=\frac{22-10}{9.8}=\frac{12}{9.8}

t=1.22 seconds

The ball's speed will be 10 m/s at t=1.22 seconds

8 0
3 years ago
Rowan reads at a constant rate of 1.5 pages per minute and has already
saul85 [17]

Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.

What is a linear function?

  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

For Rowan, we have that:

  • He has already read 20 pages, hence the y-intercept is b = 20.
  • He reads 1.5 pages per minute, hence the slope is a = 1.5

Then:

y_R = 1.5x + 20

For Kennedy, we have that:

  • He has already read 25 pages, hence the y-intercept is b = 25.
  • He reads 1 page per minute, hence the slope is a = 1

Then:

y_K = x + 25

They will have read the same number of pages after x minutes, for which:

y_R = y_K

Then:

1.5x + 20 = x + 25

0.5x = 5

x = \frac{5}{0.5}

x = 10

To learn more about linear function, you can take a look at brainly.com/question/25823744

3 0
3 years ago
Solve for F:<br> C=5(F-32)/9
puteri [66]
C = 5(F-32)/9      Multiply each side by 9
9C = 5(F-32)       Distribute
9C = 5F - 160     Add 160 to each side
9C + 160 = 5F     Divide each side by 5
9/5C + 32 = F
5 0
3 years ago
which number set(s) does -10 belong toirrational numberswhole numbersrational numbersintegersreal numberscounting or natural num
yKpoI14uk [10]

Given:

The number is -10.

To describe the number:

Explanation:

Since 10 is a whole number and it has a minus sign.

So, -10 is an integer number.

Since it is an integer number.

So, it must be a rational number as well as the real number.

Therefore, -10 is a number that belongs to the sets

Integer numbers

Rational numbers

Real numbers

Final answer:

• Integer numbers

,

• Rational numbers

,

• Real numbers

6 0
1 year ago
Over five days Nikia ran a total of 10.2
beks73 [17]

Answer:

2 miles

Step-by-step explanation:

10.2 (total amount of miles ran) - 2.2(fifth day) = 8m

8=miles ran in total for the first 4 days

8 miles / 4 days = 2 miles per day for the first 4 days

5 0
3 years ago
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