Answer:
64
Step-by-step explanation:
If the number is x we have the equation:-
3x + 5 = 197
Subtract 5 from both sides:-
3x = 192
x = 192/3
x = 64
Let

and

be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function

subject to the constraint

.
From the constraint, we find

so we can write the area function independently of

:

Differentiating and setting equal to zero, we find one critical point:

which means

, so in fact the largest area is achieved with a square fence that surrounds an area of

.
Answer: 16 rotations
Step-by-step explanation:
Given : Shawn is coasting down a 500 cm long ramp on his inline skates. The wheels on his inline skates are 32 cm in circumference.
Length of ramp = 500 cm
Circumference of wheels = 32 cm
Formula :
Number of rotations = Length of ramp divided by Circumference of wheels
= 500 cm ÷ 32 cm
= 15.625 ≈ 16 [approx]
Therefore, each wheel makes 16 rotations while Shawn is coasting down the ramp.
Answer:
B. 5
Step-by-step explanation:
The degree of the above polynomial is the highest power of x.
In this case,the highest power of x is 5 in 6x^5.
So,the degree of the polynomial is 5.