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3 years ago

Which pair of expressions below are equivalent? a. −4−8 and 4+8 b. −4−8 and −4+8 c. −4−8 and −4−(−8) d. −4−8 and −4+(−8)

Mathematics

2 answers:

omeli [17]3 years ago

6 0

Answer:

d. −4−8 and −4+(−8)

Step-by-step explanation:

+ - is equivalent to -

Elanso [62]3 years ago

5 0

Answer:

d. −4−8 and −4+(−8)

Step-by-step explanation:

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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.

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Write 603,478 in word form

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The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.

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A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the perpendicular line will be given as

y = mx + c

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The slope of the line is -5/2.

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3 = 2/5 × 10 + c

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More about the linear system link is given below.

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(7,8) I think is the answer your looking for

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