Answer:
a. The value of the constant k is 21
b. The equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.
Step-by-step explanation:
a.
<em>A proportional relationship satisfies the equation y = k * x, where k is a positive constant and is called a proportionality constant. In this case "x" is the number of terraced houses and "y" is the width of a row of identical houses.
</em>
The data you have is that the width of 5 townhouses are 105 feet. This means that the value of "x" is 5 houses and the value of "y" is 105 feet. By replacing in the equation y = k * x and isolating the constant k, you get:
<em>105=k*5
</em>
<em>k=21
</em>
<u><em>So the value of the constant k is 21.</em></u>
b.
<em>As mentioned, the equation is y = k * x, where k is the proportionality constant, "x" is the number of terraced houses and "y" is the width of a row of identical houses.</em>
This means that just as "x" increases, "y" increases. And that if "x" decreases, "y" will decrease. And this relationship between "x" e "and" will always be the same, determined by the value of the constant "k".
Answer and Step-by-step explanation:
Code: 2 letters | 4 digits | 3 letters
Options for letters: 26 (a b c d e f g h i j k l m n o p q r s t u v w x y z)
Options for letters: 10 (0 1 2 3 4 5 6 7 8 9)
How many different codes are possible?
26.26.10.10.10.10.26.26.26 = 26⁵.10⁴
How many codes are possible if repeating letters and digits is not allowed?
26.25.10.9.8.7.24.23.22 = 3.97837.10¹⁰
How many codes are possible if repeats are not allowed and the first letter must be 'X' and the first digit must be '4'?
1.25.23.1.9.8.7.24.23.22 = 1.53014.10⁸
If the wrong code is entered the vault automatically locks and the alarm sounds. Suppose repeating letters and digits are allowed in the code. What is ther probability of a thief breaking into the vault if the thief has no prior knowledge of the secret code?
1/(26⁵.10⁴)
Answer:
is a partition of Z
Step-by-step explanation:
Given
for some integer k
for some integer k},
for some integer k},
and
for some integer k}.
Required
Is a partition of Z
Let
So:
So, we have:
Hence:
is a partition of Z
That guy above me is correct
Answer:
Step-by-step explanation:
Hello, please consider the following.
You need to develop the expression.
Thank you.