Answer:
4x+8
6x-8
Step-by-step explanation:
a) 4(x + 2)=4x+8
b) 2(3x - 4) =6x-8
c) 4(3 - 6x) 2x + 18-2(2 – 3x)
<h3>
Answer: c = 7/4</h3>
================================================
Work Shown:
Compute the function value at the endpoints
With a = -5 and b = 4, we have
So,
Use algebra to solve for c
Answer: dr/dt = 9/(24pi) cm per minute
9/(24pi) is approximately equal to 0.119366
=============================================
Work Shown:
Given info
dS/dt = 18 cm^2/min is the rate of change of the surface area
r = 6 cm is the radius, from the fact that the diameter is 12 cm
--------
Use the surface area equation given, apply the derivative, plug in the given values and then isolate dr/dt which represents the rate of change for the radius
S = 4*pi*r^2
dS/dt = 2*4*pi*r*dr/dt
dS/dt = 8*pi*r*dr/dt
18 = 8*pi*6*dr/dt
18 = 48*pi*dr/dt
48pi*dr/dt = 18
dr/dt = 18/(48pi)
dr/dt = (9*2)/(24*2pi)
dr/dt = 9/(24pi)
The units are cm per minute, which can be written as cm/min.
Answer:
C. $16.00
Step-by-step explanation:
First, let's find how much they profit from one loaf
The profit is the difference between how much they sell it for and what they buy it for.
So, we can subtract what they buy the bread for from how much the sell it for
selling price-buying price
2.40-0.80=1.6
So, they profit $1.60 per loaf
To find how much they profit for 10 loaves, multiply their profit from one loaf by 10
profit*10
1.60*10=16
The profit for 10 loaves is $16, or choice C
Answer:
Unit fractions play an important role in modular arithmetic, as they may be used to reduce modular division to the calculation of greatest common divisors. Specifically, suppose that we wish to perform divisions by a value x, modulo y. In order for division by x to be well defined modulo y, x and y must be relatively prime.
Step-by-step explanation:
