Answer:
0.67 cm/s
Step-by-step explanation:
The area of a square is given by :
....(1)
Where
x is the side of a square

Differentiating equation (1) wrt t.

When A = 81cm², the side of the square, x = 9 cm
Put all the values,

So, the length of the side of a square is changing at the rate of 0.67 cm/s.
Answer:
the anwser is b
Step-by-step explanation:
divide 27 by 180 and you get an answer of 54
Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
Answer:
17
Step-by-step explanation:
4 × 3² = 36
2 × 7 = 14
36 ÷ 12 = 3
3 ± 14 = 17
Answer:
Hours spent for snowboarding = 1 hour 35 minutes
Step-by-step explanation:
Total hours spent for skiing and snowboarding = 3 hours
Hours spent for skiing = 1 hours 25 minutes
How long did he spend snowboarding?
Hours spent for snowboarding = Total hours spent for skiing and snowboarding - Hours spent for skiing = 1 hours 25 minutes
= 3 hours - 1 hours 25 minutes
1 hour = 60 minutes
3 hours = 180 minutes
1 hours 25 minutes = 85 minutes
3 hours - 1 hours 25 minutes
= 180 minutes - 85 minutes
= 95 minutes
95 minutes = 1 hour 35 minutes
Hours spent for snowboarding = 1 hour 35 minutes