Answer:

Step-by-step explanation:
Combine Similar Elements: 

Combine Similar Elements: 

Subtract 14 From Both Sides

Simplify

Add
To Both Sides

Simplify

Divide Both Sides By 

Simplify

Answer:
3 hours and 45 minutes
Step-by-step explanation:
190/55=3.4545
Answer:
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
Step-by-step explanation:
Given the data in the question;
If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is?
dA/dt = rate in - rate out
first we determine the rate in and rate out;
rate in = 3pound/gallon × 5gallons/min = 15 pound/min
rate out = A pounds/1000gallons × 5gallons/min = 5Ag/1000pounds/min
= 0.005A pounds/min
so we substitute
dA/dt = rate in - rate out
dA/dt = 15 - 0.005A
Therefore, If A(t) represents the amount of salt in the tank at time t, the correct differential equation for A is is dA/dt = 15 - 0.005A
Option C) dA/dt = 15 - 0.005A is the correction Answer
Answer:
Part 1) The perimeter of rectangle is equal to 24 units
Part 2) The area of rectangle is equal to 32 square units
Step-by-step explanation:
Part 1) Find the perimeter of rectangle
we know that
The perimeter of rectangle is equal to

where
L is the length of rectangle
W is the width of rectangle
we have

Plot the figure to better understand the problem
using a graphing tool
see the attached figure
Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees
so

the formula to calculate the distance between two points is equal to

step 1
Find the distance FG

substitute the values



step 2
Find the distance RF

substitute the values



step 3
Find the perimeter

we have

substitute

Part 2) Find the area of rectangle FROG
we know that
The area of rectangle is equal to

we have

substitute
