Answer:
They are proportional
Step-by-step explanation:
Cross multiply, if the results are the same, they are proportional. If not, well then they're not proportional.
25 × 27 = 675
45 × 15 = 675
They have the same result
They are proportional
Answer:
The sinusoidal axis is the neutral horizontal line that lies between the crests and the troughs (or peaks and valleys if you prefer). ... Instead, it would still be the horizontal line directly between the crests and troughs which is also the average of the maximum and minimum values
Answer:
v= 2.66 m/sec
Step-by-step explanation:
supposing we have to find their speed just as he grabs her.
Applying law of conservation of Energy
That is
p_i= p_f
Initial momentum = p_i = 35×0+ 44×4.9= 210.6 kg.m/sec.
final momentum p_f= (35+44)v
let the final velocity of combined body be v
therefore,
79v= 210.6
v= 2.66 m/sec.
<h2>f</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>x</h2><h2>3</h2><h2>−</h2><h2>9</h2><h2>x</h2><h2>2</h2><h2>+</h2><h2>24</h2><h2>x</h2><h2>−</h2><h2>10</h2><h2>Taking first derivative of</h2><h2> </h2><h2> </h2><h2>f</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>f</h2><h2>′</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>3</h2><h2>x</h2><h2>2</h2><h2>−</h2><h2>18</h2><h2>x</h2><h2>+</h2><h2>24</h2><h2>For finding critical points substituting</h2><h2> </h2><h2>f</h2><h2>′</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2>f</h2><h2>′</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2> </h2><h2>⇒</h2><h2>3</h2><h2>x</h2><h2>2</h2><h2>−</h2><h2>18</h2><h2>x</h2><h2>+</h2><h2>24</h2><h2>=</h2><h2>0</h2><h2> </h2><h2>⇒</h2><h2>3</h2><h2>(</h2><h2>x</h2><h2>2</h2><h2>−</h2><h2>6</h2><h2>x</h2><h2>+</h2><h2>8</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2>(</h2><h2>x</h2><h2>−</h2><h2>4</h2><h2>)</h2><h2>(</h2><h2>x</h2><h2>−</h2><h2>2</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2>After solving the value of x is</h2><h2>x</h2><h2>=</h2><h2>2</h2><h2>,</h2><h2>4</h2><h2>Thus critical points at</h2><h2> </h2><h2> </h2><h2>x</h2><h2>=</h2><h2>2</h2><h2>,</h2><h2>4</h2>
Answer:
The next three terms are 55,89 and 144
Step-by-step explanation:
We want to predict the next three numbers in the pattern
3, 5, 8 , 13 , 21 , 34
The difference between two successive terms is written between them.
Thus, we have
3 2 5 3 8 5 13 8 21 13 34
So the rule here is to add the next term to the previous so as to get the next coming term
Thus, we have;
34 + 21 = 55
55 + 34 = 89
89 + 55 = 144
