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3 years ago

Is the quotient of two integers always a rational number? Explain.

Mathematics

1 answer:

Troyanec [42]3 years ago

4 0

Answer:

It is true that the quotient of two integers is always a rational number. This is because a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

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in a company 75% of the workers are women. of 850 people work for the company who aren't women, how many workers are there in al

Nadya [2.5K]

There’s one method
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4 0

2 years ago

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

f'(t) is negative

The unit is degC/min

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

5 0

3 years ago

What is the equation in point slope form of the line that passes through the point (–1,–3) and has a slope of 4?

Law Incorporation [45]

M=4

(-1, -3)
x1, y1

just plug the rest in

4 0

3 years ago

Read 2 more answers

A flute is on sale for 20% off. Including the discount and 8% tax, the sales price is $216.

Len [333]

Answer:

Before Tax: $240

After Tax: $259.20

Step-by-step explanation:

If we are trying to find the original price then here:

216/1.08 = 200

This took away the tax now we need to take away the discount:

200 x 1.2 = 240

Before Tax: $240

After Tax: $259.20

7 0

3 years ago

Read 2 more answers

Which of the following equations has the same solutions as the equation 3x + 2y= -12

tatuchka [14]

Answer:

x= -2/3y-4

Step-by-step explanation:

3x+2y=-12

3x+2y-2y= -2y-12

3x=-2y-12

3x/3= -2y/3-12/3

x= -2/3y-4

6 0

3 years ago