Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
Answer: 75ml
Step-by-step explanation:
The volume of a rectangular prism is:
= Length × width × height
where,
Volume = 22500ml³
Length = Unknown
Width = 50ml
Height = 6ml
We then slot the values into the formula.
Volume = Length × width × height
22500 = Length × 50 × 6
22500 = Length × 300
Length = 22500/300
Length = 75ml
The length of the cellular phone is 75ml.
Answer:
.6n
Step-by-step explanation:
If we get 40 % off, we still have to pay 100-40 or 60%
The original price is n
We pay 60% of n
60%*n
.60*n
.6n
Answer:
113.9 ft³
Step-by-step explanation:
==>Given:
Base area of square pyramid (B) = 17 ft²
Height of pyramid (h) = 20.1 ft
==>Required:
Volume of the square pyramid (V)
==>Solution:
Using the formula ⅓*B*h, let's find the volume of the pyramid as follows by plugging in our values:
V = ⅓*17*20.1
V = 341.7/3
V= 113.9 ft³
Volume of the square pyramid = 113.9 ft³
