4x-30=2x+50
+30 +30
4x=2x+80
-2x -2x
2x=80
/2 /2
X=40
4(40)-30=130°
2(40)+50=130°
180-130=50°
Angle 7=50°
Answer:
The answer is -8.
Step-by-step explanation:
This is because 6 added to -8 results in -2.
So, think of 6 positive things, and 8 negative things.
o o o o o o
p p p p p p p p
The 6 positive things will cancel out 6 of the negative things, leaving behind 2 negative things.
p p
#teamtrees #WAP (Water And Plant)
George Washington..was the first president
Answer:
Mean: 5
Median: 4
Mode: 4
Step-by-step explanation:
Mean:
1. To find the mean given a data set, you have to add up all the data points and then divide them by the number of data points there is.
Therefore, the mean is 5.
Median:
1. To find the median given a data set, we first have to arrange the data points in order.
2. Next, we have to find which data point is in the middle. In this case, the middle number is 4.
Therefore, the median is 4.
Mode:
1. To find the mode given a data set, you just have to find which data point is the most frequent.
- 1 data point of 2
- 3 data points of 4
- 1 data point of 6
- 1 data point of 8
Because the most frequent value is 4, the mode is 4.
Answer:
Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds
Step-by-step explanation:
Let Q(t) = amount of dye for all time,t.
Let Q'= rate in - rate out.
But Q/200 = concerntration of dye
Therefore rate out= Q/200 ×2.
Q'/Q = - 1/100
Dividing by Q gives
Ln/Q/ + c = -1/100t + c1
Integrating both sides with respect to t
Ln/Q/ = -1/100t + c2.
c1 and c1 are just another constants
Q= c3e^-t/100
Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3
200= c3-0/100
c3= 200
2= 200e^-t/100
Ln1/100= - t/100
Ln0.01 = - t/ 100
Cross multiply
t= Ln0.01 × 100
t = 4.6052 ×100
t = 460.52seconds
