A 4 digit addends could have a 5 digit sum because of the rule of regrouping.
Regrouping is a situation where carrying and borrowing is involves. So let’s have an example
8999
<span>+5678
</span>14677
so in this example, we added 8999 to 5678.
9+8 = 17, so we bring down 7 and carry 1
9 + 7 = 16 + 1 = 17 , so again we bring down 7 carry 1
9 + 6 = 15 + 1 = 16, bring down 6 carry 1
8+5 = 13 + 1 =14, since this is our last number, bring down 14..
=> 14, 677
Answer:
christopher columbus
Step-by-step explanation:
The solution will be x>1/6
Answer:
y = 4sin [(1/2)t - (4/3)π ] - 2
Step-by-step explanation:
For this question, do not be intimidated by the terminology, just realize the following:
for y = a sin [ (2π/T) t ]
a = amplitude = given as 4
T = period = given as 4π
phase shift is simply horizontal shift, positive values means the graph moves by that amount to left and negative values means the graph moves to the right.
vertical shift ... is well a shift vertically. positive values move the graph up vertically and negative values move the graph down vertically.
so... if we start with the basic formula:
y = a sin [ (2π/T) t ]
given a = 4 and T = 4π (substitute these values into the formula)
y = (4) sin [ (2π/4π) t ] = (4) sin [ (1/2) t ]
y = 4sin [(1/2)t ]
Now for the shifts:
given phase shift, aka horizontal shift is -(4/3)π, equation becomes
y = 4sin [(1/2)t - (4/3)π ]
given vertical shift is -2, the equation simply becomes
y = 4sin [(1/2)t - (4/3)π ] - 2
Answer:
75
Step-by-step explanation:
Buddy and Ken can do work 2/3 times faster than Tom and Ron. The LCM (10, 15) is 30. In thirty minutes Buddy and Ken will have installed 3 panels, while Tom and ron will have installed 2 panels. In thirty minutes 5 panels will have been placed. There are 12 panels that need to be placed so we know it will take another thirty minutes to place 5 more panels. After an hour only 10 panels will have been placed. So we need to add more time. There are only two panels that will need to be placed after an hour, so each group can place a panel. Tom and Ron will need 15 minutes so the answer is 60+15=75.
