Answer:
x=3
Step-by-step explanation:
Use pemdas!
First use distributive property to get rid of the parenthesis, by multiplying 2 by 3x and -4. Then combine like terms and use inverse operations to simplify each side until you get it down to just x! Hope this helped! :)
Answer:
x=9
Step-by-step explanation:
the equal of angles in triangle is 180°
so
Answer:
6x-8=2x+4
6x-2x=8+4
4x=12
x=3
b. 3.2 rad/s
c. 52 rad/s
d. 81 rad/s
Answer:
c. 52 rad/s
Step-by-step explanation:
Final question does not correspond with available option. The real question is: What is the angular speed in radians per second?
At first we assume that spin balance rotates at constant rate and convert given angular speed, measured in revolutions per minute, into radians per second:
Which corresponds to option C.
The wheel rotates at an angular speed of 52 rad/s and the equivalent road speed is about 39 mph.
To solve this, we need to consider the given spin speed which is 500 revolutions per minute and convert this to rev per second by dividing by 60.
This is because a minute has 60 seconds.
Hence, the wheel rotates at 500/60 = 8.33 rev/s.
Furthermore, we need to know that in physics, one full revolution equals 2π radians (this is the equivalent of going around a circle once).
So, to convert from revolution to radian, we multiply by 2π, so the wheels is spinning at 8.33 * 2π ≈ 52.36 rad/s, which most closely matches option c. 52 rad/s.
Lastly, the linear (or road) speed can be calculated by multiplying the Angular momentum by the radius of the wheel (which is half the diameter), so v = (52.36 rad/s) * (13 in) = 680.68 in/s.
To convert it to mph, note that 1 inch/s = 0.057 mph, hence the wheel is spinning at about 39 mph.
Learn more about Angular momentum here:
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The quantity of the medicine left in the patient's system after 2 hours is 18 mg.
Consider the function:
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
It should be noted that only 60% of the medicine of the previous hour is left n the patient's system every hour.
Thus, the model of the scenario,
where D is the dosage at any hour n.
From the model above with n equal to 2 then D becomes 18.
Hence, The quantity of the medicine left in the patient's system after 2 hours is 18 mg.
Learn more about exponential growth and decay here:
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