Answer:
B. 30cm³
Step-by-step explanation:
Volume of a prism=length×Breadth×Height(L×B×H)
Where Length(L)=5-cm, Breadth(B)= 2-cm Height(H)=3-cm
∴Volume=5×2×3=30 cm³
Given:
Sum of three consecutive integers is more than 62.
To find:
The inequality to represent the above situation then solve your inequality.
Solution:
Let the three consecutive integers are respectively.
Sum of three consecutive integers is more than 62. So,
Subtract 3 from both sides.
Divide both sides by 3.
Therefore, the required inequality is and solution is .
Answer:
A) -2
Step-by-step explanation:
The form is indeterminate at x=0, so L'Hopital's rule applies. The resulting form is also indeterminate at x=0, so a second application is required.
Let f(x) = x·sin(x); g(x) = cos(x) -1
Then f'(x) = sin(x) +x·cos(x), and g'(x) = -sin(x).
We still have f'(0)/g'(0) = 0/0 . . . . . indeterminate.
__
Differentiating numerator and denominator a second time gives ...
f''(x) = 2cos(x) -sin(x)
g''(x) = -cos(x)
Then f''(0)/g''(0) = 2/-1 = -2
_____
I like to start by graphing the expression to see if that is informative as to what the limit should be. The graph suggests the limit is -2, as we found.
Answer:
Point P = (-9,11)
Step-by-step explanation:
Point M: (1,3) X and Y have the 2 on the bottom right of them
Midpoint N: (-5,7)
Point P: (X*2, Y*2)
( 1 + X*2 3 + Y*2 )
( _______ ________ ) = (-5 , 7)
( 2 , 2 )
( 1 + X*2 )
( _____ ) = -5
( 2 )
Then multiply the left equation above by 2, and that cancels out the 2 being
divided on the bottom. Also, multiply the -5 by 2 and you get -10
1 + X*2 = -10
+1 +1
__________
X*2 = -9
X = -9
( 3 + Y*2 )
( ______ ) = 7
( 2 )
Then multiply the left equation above by 2, and that cancels out the 2 being divided on the bottom. Also, multiply the 7 by 2 and you get 14
3 + Y*2 = 14
-3 -3
_________
Y*2 = 11
Y = 11
Hope this helps, good luck! :)
Answer:
the probability that a randomly selected duck weighs more than 1.8 kg is 5-10%