3 years ago

It took James 1 3/4hrs totravel a distance of 126in his car. Calculate his speed

Mathematics

1 answer:

antoniya [11.8K]3 years ago

8 0

Answer:

Assuming that 126 is expressed in miles (mi), the answer is 72 miles per hour.

Step-by-step explanation:

Speed is calculated using the following formula: distance/time.

Knowing that he travels 126 miles in 1 hour and 45 minutes, we obtain 126 miles divided by 1.75 = 72 mph.

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What is the midline equation of y = -4sin (2x - 7) + 3?

Georgia [21]

Answer:

$y = 3$ .

Step-by-step explanation:

The minimum and maximum value of $\sin(2\, x - 7)$ over all real $x$ are $(-1)$ and $1$ , respectively. Hence, the maximum and minimum value of $y = -4\, \sin(2\, x - 7) + 3$ would be:

Maximum: $y = (-4)\, (-1) + 3 = 7$ .
Minimum: $y = (-4)\, (1)\ + 3 = (-1)$ .

The midline equation of a sine wave is a horizontal line that is right in the middle of maximum and minimum $y$ -values of that sine wave. In the sine wave in this question, the average of the maximum and minimum $y\!$ -values is $(1/2) \, (7 + (-1)) = 3$ . Hence, the midline equation of this sine wave would be $y = 3$ .