Step-by-step explanation:
To cover a rectangular region of her yard, Penny needs at least 217 square feet of sod. The length of the region is 15.5 feet. What are the possible widths of the region?
L=length=15.5 ft; W=width; A=area=>217 sq ft
L*W=>217 sq ft Divide each side by L
W=>217 sq ft/L
W=>217 sq ft/15.5 ft=>14 feet
ANSWER: To cover at least 217 sq ft. the width must be at least 14 feet.
Answer:
θ ≈ 17.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan θ = 
= 
= 
, then
θ = 
( ) ≈ 17.1° ( to the nearest tenth )
If we simply substitute the value x=2 in the expression we have
which is undefined.
But if we factor both numerator and denominator, we have
Since we are studying the limit as x approaches 2, we can assume that x is not 2. In this case, we can simplify the (x-2) parenthesis, and the expression becomes
And we can evaluate this at 2 with no problems:
So, we have
This means that in this case both left and right limits exist and are the same, so the limit exists, but the function is not defined at x=2. This is a removable discontinuity, because we can define the function as its limit, and we have a continuous function at x=2:
a) C
b) F
c) A
d) D
e) B
f) E
Step-by-step explanation:
To find the correct algebraic expression for each table.
For table a)
The values of T is 2 more than the values of n
So, T ⇒ n+2
For table b)
The values of T is 3 less than the values of n
So, T ⇒ n-3
For table c)
The values of T is thrice of the values of n
So, T ⇒ 3n
For table d)
The values of T is 2 more than from the thrice of the values of n
So, T ⇒ 3n+2
For table e)
The values of T is square of the values of n
So, T ⇒ n²
For table f)
The values of T is 1 less than from the twice of the values of n
So, T ⇒ 2n-1
Answer: it would be C
Step-by-step explanation:
