Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.
Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.
So the net flow rate of salt, given by 
in grams, is governed by the differential equation,
which is linear. Move the 
term to the right side, then multiply both sides by 
:
Integrate both sides, then solve for :
Since the tank starts with 5 g of salt at time 
, we have
The time it takes for the tank to hold 20 g of salt is 
such that
A. True. This is because distances are preserved and kept the same.
B. True. Moving any point to it's corresponding image is having you travel 8 units.
C. True. Corresponding angles are congruent.
D. False. This is not always true so in general it's false.
The final answer is choice D
Answer:
A and E are correct option.
Step-by-step explanation:
We are given two triangle congruent.
If two triangles are congruent then their corresponding sides and angles are equal.
In ΔTUV ≅ ΔWXY
Now we write all the congruent sides and angles
- ∠T=∠W
- ∠U=∠X
- ∠V=∠Y
- TU≅WX
- UV≅XY
- TV≅WY
Now we see all the given option.
∠Y=∠V (TRUE, Congruent part of congruence triangles)
∠W=∠T (TRUE, Congruent part of congruence triangles)
Thus, A and E are correct option.
From the steps Talia chooses to find the equation of the line, we shall evaluate the incorrect step as follows:
Step 1:
Choose a point in the line such as (2,5)
Step 2:
<span>Choose another point on the line, such as (1, 3)
step 3:
</span><span>Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is.
(5-3)/(2-1)=2/2=1
step 4:
</span><span> Substitute those values into the point-slope form
y-y1=m(x-x1)
y-3=2(x-1)
y=2x+1
Thus the answer is:
</span><span>Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form</span>
