Answer:
y = 16x^5
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
This will create a cylinder volume = 1/2 pi r^2 h = 1/2 pi 4 * 12
= 24 pi = 75.398 in^3
Answer:
(1 cm)cos3πt
Step-by-step explanation:
Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft
where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.
Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations = 2 s
So, f = 3/2 s =1.5 /s = 1.5 Hz
Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm
h = Acos2πft
= (1 cm)cos2π(1.5Hz)t
= (1 cm)cos3πt
You can determine if two numbers are equal if they have the same value. (4 are 4 are equal) (4 and 5 are not equal). You can determine if two expressions are equal by solving them. If the answers are of an equal value, they are equal. (4+5 and 6+3 are equal because they both work out to be 9) (4+5 and 5+5 are not equal because they work out to be 9 and 10.)
~Crutchie
p.s. The mathmatical term for "equal" is <em>equivilent. </em>As in <em>equivilent expressions</em> or <em>equivilent numbers</em>.
p.p.s. The mathmatical term for "numbers" are <em>integers</em>. As in <em>the diffrence between the integers </em>or <em>equivilent integers.</em>
Answer:
x+20
Step-by-step explanation:
As we can see n the diagram, there are parallel traversals and one line, and the two angles given are same-side interior angles. We know that when there is parallel traversal, and we have same side interiors, the sum of the measure of the two angles are supplementary. Supplementary means 180 degrees, or a straight line.
So we plug everything in and we have 4x+5x=180 degrees
4x+5x=9x, so 9x=180
We divide by 9 on both sides to get the value of x, which is 20
Hope it helps!
