Answer:
13.20 min
Step-by-step explanation:
Rate of the reaction is a measure of the rate of decomposition of the compound.
Rate (R) = Concentration (C) ÷ time (t)
C1/t1 = C2/t2
C1 = 52.3% = 0.523
t1 = 8.6 min
C2 = 80.3% = 0.803
t2 = C2t1/C1 = 0.803×8.6/0.523 = 13.20 min (to 2 decimal places)
-------------------------------------------------------------------------
Given Information
-------------------------------------------------------------------------
Total number of people = 165
Adult = $6
Child = $2
Total collected = $618
-------------------------------------------------------------------------
Assumptions
-------------------------------------------------------------------------
Let x be the number of adults and y be the number of children
-------------------------------------------------------------------------
Form equations
-------------------------------------------------------------------------
Total number of people
x + y = 165
Total amount collected
6x + 2y = 618
-------------------------------------------------------------------------
Ans: The two equations are x + y = 165 and 6x + 2y = 618
-------------------------------------------------------------------------
The question is not asking for it but if you need to solve the equation to find the answer to x and y
-------------------------------------------------------------------------
Present the two equations and solve for x and y
-------------------------------------------------------------------------
x + y = 165 ------------------------- (eqn 1)
6x + 2y = 618 ------------------------- (eqn 2)
(eqn 1) :
x + y = 165
x = 165 - y ------------------------- substitute into (eqn 2)
6(165 - y) + 2y = 618
990 - 6y + 2y = 618
4y = 990 - 618
4y = 372
y = 93 ------------------------- substitute into (eqn 1)
x + y = 165
x + 93 = 165
x = 165 - 93
x = 72
x = 72 and y = 93
-------------------------------------------------------------------------
Ans: 72 adults and 93 children
-------------------------------------------------------------------------
The length of the rope in this case becomes the radius of the circle that the goat is able to graze. The area of the circle is calculated through the equation,
A = πr²
Substituting,
A = π(5m)² = 78.54 m²
Thus, the area that the goat is able to graze is equal to 78.54 m².
Answer:
9572 visitors
Step-by-step explanation:
This is exponential: y=ab
a = initial value
b = growth rate
It will grow by 5% each year but also keep the same amount as last year (100% of last year's visitors)
a = 7500
b = 1.05

Plug in x=5
9572.111719 = 9572 visitors
Answer:
ok i will
Step-by-step explanation: