Answer:
It is false, because infinity is not a cardinality. The set N of positive integers is infinite and its cardinality is, if you wish, ℵ0 , the smallest infinite cardinal number, at least in an axiomatic set theory. A set S is infinite if and only if there exists a bijection between S and a proper subset of S , i.e. a subset of S different from S . Now the successor function s:N→N∗ is such a bijection; this follows from Peano’s axioms for arithmetic.
Let g = graph paper and r = ruler
1st equation: 5g + 30r = 40
2nd equation: 12g + 20r = 44
Multiply the 2nd equation by -1.5 to cancel out the r's
2nd equation: 12g + 20r = 44 x -1.5 = -18g - 30r = -66
Now add the 1st equation to that:
-18g + 5g = -13g
30r -30r = 0
40 -66 = -26
The new equation becomes -13g = -26
Divide both sides by -13
g = -26 / -13
g = 2
This means each pack of graph paper cost $2.
Now replace g with 2 in the first equation to solve for the cost of a rule:
5(2) + 30r = 40
Simplify:
10 + 30r = 40
Subtract 10 from each side:
30r = 30
Divide both sides by 30:
r = 30 / 30
r = 1
Each rule cost $1.
Answer:
Remember that logarithms are inverse of exponentials. That means the result of the logarithm is equal to the exponent of a power with the same base.
<h3>1. (a)</h3>
Notice that the result is one beacuse 
<h3>(b)</h3>
Because 
<h3>(c)</h3>
So, 
<h3>2. </h3>
I would say to thim that 
and 
are variables of the logarithm, which be solved by imagine the logarithm as an exponential like
In other words, the is the exponent and the is the result of the exponential.
We will calculate this by using ratios and because these two triangles are similar, which is very important.
Explanation:
We see that the FG = 9 corresponds to the VU = 21. Therefore, FH = 18 corresponds to the UW = x.
9 : 21 = 18 : x
x = (21*18)/9
x = 378/9
x = 42.
The correct answer is B. 42.
Answer:
1) E
2) D
3) G
4) I
Step-by-step explanation:
1)
P = 2(l + w)
P = 2(3a + 3 + 8a - 12)
P = 2(11a - 9)
P = 22a - 18
2)
P = 22a - 18
P = 22(3) - 18
P = 66 - 18
P = 48
3)
P = a + b + c
P = 3b + 7 + 7b - 2 + 7b - 2
P = 17b + 3
4)
P = 17b + 3
P = 17(6) + 3
P = 102 + 3
P = 105
