Answer:
D. 
Step-by-step explanation:
The given equation is
When we divide through by 4 we get;
Comparing to
y=mx+c,
The y-intercept is
The corrrect choice is D.
Step-by-step explanation:
Perfect number is the positive integer which is equal to sum of proper divisors of the number.
Aliquot part is also called as proper divisor which means any divisor of the number which isn't equal to number itself.
<u>Number : 6 </u>
Perfect divisors / Aliquot part = 1, 2, 3
Sum of the divisors = 1 + 2 + 3 = 6
Thus, 6 is a perfect number.
<u>Number : 28</u>
Perfect divisors / Aliquot part = 1, 2, 4, 7, 14
Sum of the divisors = 1 + 2 + 4 + 7 + 14 = 28
Thus, 28 is a perfect number.
1) first find the ratio of gallons to minutes which is 150/6=25, so 25 gallons a minute.now divide 20,000 by 25=800 and that is the answer
2)so, we found the proportion 25:1 or 25 gallons a minute
3)we do the same thing we did for find, find the ratio per square feet 700/2=350, next we divide 1960 by 350. that should get you 5.6
Hope I helped! :)
Answer: 15e^5x
Step - by - step
y=3e^5x - 2
By the sum rule, the derivative of 3e^5x - 2 with respect to x is d/dx [ 3e^5x ] + d/dx [-2].
d/dx [ 3e^5x ] + d/dx [ -2 ]
Evalute d/dx [ 3e^5x ]
Since 3 is constant with respect to x , the derivative of 3e^5x with respect to x is
3 d/dx [ e^5x ].
3 d/dx [ e^5x ] + d/dx [ -2 ]
Differentiate using the chain rule, which states that d/dx [ f(g(x))] is f' (g(x)) g' (x) where f(x) = e^x and g(x) = 5x.
To apply the Chain Rule, set u as 5x.
3 ( d/du [ e^u] d/dx [5x] ) + d/dx [ -2]
Differentiate using the Exponential rule which states that d/du [ a^u ] is a^u ln(a) where a=e.
3( e^u d/dx[5x] ) + d/dx [ -2 ]
Replace
3(e^5x d/dx [5x] ) + d/dx [ -2 ]
3(e^5x( 5 d/dx [x] )) + d/dx [ -2 ]
Diffentiate using the Power Rule which states that d/dx [x^n] is nx^n-1 where n=1.
3(e^5x(5*1)) + d/dx [-2]
3 ( e^5x * 5 ) + d/dx [-2]
Multiply 5 by 3
15e^5x + d/dx [-2]
Since -2 is constant with respect to x, the derivative of -2 with respect to x is 0.
15e^5x + 0
15e^5x
By definition, a rectangle is:
Any four sided polygon (quadrilateral) that contains four right angles.
By extension, a square is:
Any rectangle where all sides are of the same, or equal, length.
<h3>So yes, a square is always a rectangle.</h3>
