Answer:
Alex = No B.
Step-by-step explanation:
1) Use Quotient Rule: 

2) Simplify 1 - 3 = 2

3) Use Negative Power Rule: 

Step-by-step explanation:
Hey there!
1.》 Let the unknown angle be 'x'.
Now,
x+ 29° + 105° = 180° [ Sum of interior angle of a triangle is 180°]
x = 180° - 134°
x = 46°
Therefore the missingangle is 46°.
2.》Angle 1 = 78° + 55° [ Exterior angleis equal to the measure of adjacent interior angle]
angle 1 = 133°
Therefore the measure of angle 1 is 133°.
3.》Angle 2 + 55° + 78°= 180° [ Sum of interior angle of a triangle is 180°]
angle 2 = 180° - 133°
angle 2 = 47°
Therefore the measure of angle 2 is 47°.
4.》It's is obvious that the measure of exterior angle is equal to opposite adjacent interior angle of a triangle.
See in picture;;; for more description for no.4.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answer:
t = 460.52 min
Step-by-step explanation:
Here is the complete question
Consider a tank used in certain hydrodynamic experiments. After one experiment the tank contains 200 liters of a dye solution with a concentration of 1 g/liter. To prepare for the next experiment, the tank is to be rinsed with fresh water flowing in at a rate of 2 liters/min, the well-stirred solution flowing out at the same rate.Find the time that will elapse before the concentration of dye in the tank reaches 1% of its original value.
Solution
Let Q(t) represent the amount of dye at any time t. Q' represent the net rate of change of amount of dye in the tank. Q' = inflow - outflow.
inflow = 0 (since the incoming water contains no dye)
outflow = concentration × rate of water inflow
Concentration = Quantity/volume = Q/200
outflow = concentration × rate of water inflow = Q/200 g/liter × 2 liters/min = Q/100 g/min.
So, Q' = inflow - outflow = 0 - Q/100
Q' = -Q/100 This is our differential equation. We solve it as follows
Q'/Q = -1/100
∫Q'/Q = ∫-1/100
㏑Q = -t/100 + c

when t = 0, Q = 200 L × 1 g/L = 200 g

We are to find t when Q = 1% of its original value. 1% of 200 g = 0.01 × 200 = 2

㏑0.01 = -t/100
t = -100㏑0.01
t = 460.52 min
Answer:
8
Step-by-step explanation:
The domain is from the points (-4,0) through (4,0).
Answer:
The depth of the lake last year was 52 feet
Step-by-step explanation:
Given as :
This year depth of lake = 39 feet
Let the last year depth of lake = x feet
Now,
According to question :
The depth this year is 25% less than that of last year
I.e 39 feet = x - 25% of x
Or, 39 feet =
or, x =
∴ x = 52 feet
Hence The depth of the lake last year was 52 feet Answer