Answer:
Step-by-step explanation:
81 = 9 * 9 = 3 * 3 * 3 *3
8 = 2 * 2 * 2 *2
<em>Answer:</em>
<em>2</em>
<em>Step-by-step explanation:</em>
<em>The factors of 72: 1, </em><em>2</em><em>, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72</em>
<em>The factors of 98: 1, </em><em>2</em><em>, 7, 14, 49, 98
</em>
<em>Your greatest common factor is 2.</em>
<em>Hope this helps. Have a nice day.</em>
The value of the differential with respect to x is -xy/x²+ay
<h3>Implicit differentiation</h3>
Given the following function
x²y +ay² = b
We are to differentiate implicitly with respect to x
x²dy/dx + 2xy + 2aydy/dx = 0
(2x²+2ay)dy/dx = -2xy
dy/dx = -xy/x²+ay
Hence the value of the differential with respect to x is -xy/x²+ay
Learn more on implicit differentiation here: brainly.com/question/25081524
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Answer:
Half of each day is taken up by sleeping and eating.
Step-by-step explanation:
Answer:
t=+4.06
Step-by-step explanation:
when the baseball hits the ground, the height will be 0.
h=0we are given that h=−16t2+64t+4.
this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.
since time cannot be negative, only the positive value can be taken.
this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.
