First calculate volume of the cylindrical container: Pi * R2 * H; where Pi is 22/7 or 3.147, R is the radius and H is the height of the container.
Vol of the cylindrical container: 3.147 * (3.25/2) * (3.25/2)* 5 = 41.55 inch 3
Volume of the shaker using the above principle:
3.147 * (1/2) * (1/2) * 1.5 = 1.18 inch 3
Number of times it can fill the salt shaker will be the ratio of the volumes:
= Volume of the cylindrical container divided by the volume of the shaker = 41.55 divided by 1.18
Answer is 35 times if rounded in absolute number.
The slope is the ratio between the change in the y and x values. When you write a line as 
, the slope is the coefficient 
. So, the slope of the first graph is 405, which means that the first plane flies with a speed of 405 miles per hour.
Similarly, from the table we can see that each time you increase x by 1, the distance traveled increases by 435. So, the slope of the second graph is 435, which means that the second plane flies with a speed of 435 miles per hour, and is thus faster.
Answer:
Step-by-step explanation:
x + 112 + 133+128+100+120= 720
x + 593 = 720
x = 127
The answer will be 2. the gcf of the equation is 2 because 2 goes into 10 by 5 and into 4 by 2 leaving you with 2(5b^2+2a^3).
Answer:
D.
Step-by-step explanation:
Remember that the limit definition of a derivative at a point is:
![\displaystyle{\frac{d}{dx}[f(a)]= \lim_{x \to a}\frac{f(x)-f(a)}{x-a}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28a%29%5D%3D%20%5Clim_%7Bx%20%5Cto%20a%7D%5Cfrac%7Bf%28x%29-f%28a%29%7D%7Bx-a%7D%7D)
Hence, if we let f(x) be ln(x+1) and a be 1, this will yield:
![\displaystyle{\frac{d}{dx}[f(1)]= \lim_{x \to 1}\frac{\ln(x+1)-\ln(2)}{x-1}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%281%29%5D%3D%20%5Clim_%7Bx%20%5Cto%201%7D%5Cfrac%7B%5Cln%28x%2B1%29-%5Cln%282%29%7D%7Bx-1%7D%7D)
Hence, the limit is equivalent to the derivative of f(x) at x=1, or f’(1).
The answer will thus be D.
