Answer:
x = 24.
r 0.
Step-by-step explanation:
2. The given equation is:
a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.
b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.
c) We have the equation:
Multiplying throughout by 6, we get:
Therefore, the solution of the equation is 24.
3. The given equation is:
To solve for y:
We can rearrange the equation as:
or,
Note that we have to impose a condition on variable . It would be that can never be zero. i.e., . Otherwise, the value of would be undefined.
Answer:
C= 82.1116
k=-0.0007192
Step-by-step explanation:
Applying logarithmic properties yields in the following linear system:
Solving for k:
Solving for C:
C= 82.1116
k=-0.0007192
Answer:
Step-by-step explanation:
we know that
In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant, and this constant is called the common difference (d)
In this problem we have the ordered pairs
Let
Find the difference between one term and the next
The difference between one term and the next is a constant
This constant is the common difference
so
The sequence graphed is an Arithmetic Sequence
therefore
The first term is
The common difference is equal to
Answer:
27
Step-by-step explanation:
Let the 5 digit palindrome formed from 1,2,3,4,5 be represented as XYZXY
Possible outcomes of X are 1,2,3 which give 3 possible outcomes
Possible outcomes of Y are 1,2,3 which also gives 3 possible outcomes
Possible outcomes of Z are 1,2,3 which will give 3 possible outcomes.
The total possible outcome = 3*3*3
= 27
Answer:
L = 260 cm^2
Step-by-step explanation:
height h = 12 cm
slant height s = 13 cm
side length a = 10 cm
lateral edge length e = 13.928388277184 cm
1/2 side length r = 5 cm
volume V = 400 cm^3
lateral surface area L = 260 cm^2
base surface area B = 100 cm^2
total surface area A = 360 cm^2
Genda: h = height
s = slant height
a = side length
e = lateral edge length
r = a/2
V = volume
L = lateral surface area
B = base surface area
A = total surface area