-68hen you enter an equation into the calculator, the calculator will begin by expanding (simplifying)
the problem.
Answer: The slope is -6/5
Step-by-step explanation:
Hi!
In one batch she uses 3/4 teaspoon of vanilla
therefore in 5 batch she uses 5*3/4=15/4 teaspoons of vanilla.
as it is given that 3 teaspoons=1 tablespoon
the amount of vanilla used for 5 batches =(15/4)/3=(15/4)*1/3=5/4==1.25 tablespoons.
All the best.
We are given with the following given
dV/dt = 35 m3/min
h = (3/2)D
What is asked is
dr/dt at t = 7 min
The volume of a cone is
V = (1/3)πr²h
From the given
h = (3/2)D
since D = 2r
h = 3r
Subsituting
V = πr³
At t = 7 min, the volume is
V = 35(7)
V = 245
and the radius is
245 = πr³
r = 4.27
Differentiating the volume
dV/dt = 3πr² dr/dt
From the given
dV/dt = 35
Subsituting
35 = 3πr² dr/dt
So,
dr/dt = 0.20 m/s
and
dh/dt = 0.60 m/s
The solution to the system of equation are (0, -2) and (1, 0)
<h3>Solution to system of equations</h3>
System of equations are equations that has unknown and more than 1 equations.
Given the system of equations
y = x^2 + x – 2
y = 2x – 2
Equate both expressions
x^2 + x -2 = 2x - 2
x^2 - x = 0
x(x-1) = 0
x = 0 and x - 1 = 0
x = 0 and 1
If x = 0
y = 0 - 2 = -2
If x = 1
y = 2 - 2 = 0
Hence the solution to the system of equation are (0, -2) and (1, 0)
Learn more on system of equation here: brainly.com/question/13729904
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