Choose the solution to this inequality. 4/3 1/2 C. y 4

Which of the following is an example of a rational number that is not an integer? a. -3 b. 1 c. 1/3 d. 3

JulijaS [17]

Answer:

the answer is C.1/3

Step-by-step explanation:

Here is why in mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. Hope this helps. :)

5 0

4 years ago

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a half of whats johns age was 4 years ago is equal to one third of what will be in 5 years time. how old is john now?

Leona [35]

Let x = John's age now

half of what johns age was 4 years ago: (1/2)(x-4)

is equal to one third of what it will be in 5 years time: (1/3)(x+5)

(1/2)(x-4) = (1/3)(x+5)

3(x-4) = 2(x+5)

3x - 12 = 2x + 10

8 0

3 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:

a

f'(t) is negative

b

The unit is degC/min

c

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

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

=> $R = 1.5 * 0.5$

=> $R = 0.75$

So

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

4e^2x-6=10<img src="https://tex.z-dn.net/?f=4e%5E2x-6%3D10" id="TexFormula1" title="4e^2x-6=10" alt="4e^2x-6=10" align="absmiddl

Taya2010 [7]

X=4/e^2 or X=0.541341

3 0

3 years ago

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The figure below is half of a figure with its line of symmetry shown. Which figure below will combine with

Leokris [45]

Answer: D

Step-by-step explanation: A is not possible because the shape and the way it is drawn is nearly the same as the figure given. The shape of B is different from the given shape. C is a little too flat to be considered symmetrical to the figure. Which leaves only option D.

Hope this helped :D

6 0

3 years ago

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