Answer: <em>x </em>= 13
Step-by-step explanation: the equation to solve this is:
4 × (4 + 8) = 3 × (3 + <em>x</em>)
so we solve the first half of that:
4 × (4 + 8)
4 × 12
48
now we have:
48 = 3 × (3 +<em> x</em>)
so we switch the sides to make it easier and solve
3 × (3 + <em>x</em>) = 48
divide both sides by 3
3 × (3 + <em>x</em>) ÷ 3 = 48 ÷ 3
and get
3 +<em> x</em> = 16
now subtract 3 from both sides
3 + <em>x</em> = 16
-3 -3
and finally we get
<em>x </em>= 13
hope this helped :)
Answer:
d. Variable ratio
Step-by-step explanation:
We are asked to determine that gambling at a slot machine is an example of which reinforcement schedule.
Let us see our given choices one by one.
a. Fixed ratio
We know that in fixed ratio schedule, reinforcement is delivered after the completion of a number of responses. An example of fixed ratio is a reward to every 6th response.
b. Fixed interval
We know that in fixed interval schedule the first response is rewarded only after a specified amount of time has elapsed. An example of fixed interval schedule is weekly paycheck.
c. Variable interval
We know that in variable interval schedule, the reinforcement is delivered at changing and unpredictable intervals of time.
d. Variable ratio
In variable ratio schedule, a response is reinforced after an unpredictable number of responses. Gambling and lottery are examples of variable ratio.
Therefore, option 'd' is the correct choice.
Answer:
a) Rumble: $1
Pedal: $0.6
b) more than 5 songs
c) No, should be integers only
d) No, has to be integers greater than or equal to 2
Step-by-step explanation:
Part a
Rate per song is the slope.
Rumble:
Slope is 0.6
Rate is $0.6 per song
Pedal:
Slope: (4-2)/(2-0) = 1
Rate is $1 per song
Part b
Pedal would be a better deal if it's cost is lower than Rumble's
Rumble's cost: C = 2 + S
Pedal's cost: C = 4 + 0.6S
4 + 0.6S < 2 + S
0.4S > 2
S > 5
c) No, because no. of songs has to be positive integers only.
For example graph shows S = 2.5, but we know that's not possible
d) No, since the cost is 2 + S,
cost can't be in decimals either.
Cost too should be only integers greater than equal to 2
Answer:
Step-by-step explanation:
<u>6-digit palindrome is the number n the form of:</u>
<u>This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):</u>
Now, in order to be divisible by 99, the number must be divisible by 11 and 9.
According to divisibility rule by 9 the sum of all digits must be divisible by 9. <u>You can see In our case we need to have (the minimum):</u>
<u>The smallest number we could get is when x is minimum, y is minimum, so:</u>
<u>The number we get is:</u>
<u>Proof:</u>
Answer: y = f(m)
Justification:
By definition, the graph of a function in the cartesian coordinate plane is the plot of the curve that join all the points that satisfy the equation of the function.
In the cartesian coordinate plane, each point is represented by a pair of coordinates (y, x). y is the value of the function f(x), and x is any input value of the function.
In this case, the function is given as f(m), which means that the input value is represented by m.
Hence, the graph is the plot of y = f(m).
The choice of the letter used for the variable is completely arbitrary and does not change either the math or the graph. It could have been said that the function is f(x) in which case the graph would be y = f(x). Nothing changes but the name that you use.
