Answer:
This is a reflection about the x-axis.
Step-by-step explanation:
A reflection about the x-axis has the rule
[x,y]-> [x,-y].
Therefore
M[x,y] = [x,-y}
Let M=
|a b|
|c d|
Then the matrix multiplication gives
ax+by=x.............(1)
cx+dy=-y............(2)
Solving the previous equations (1) and (2) gives
a=1, b=0
c=0, d=-1
giving M as
|1 0|
|0 -1|
Answer:
It'll take approximately 9.1 minutes
Step-by-step explanation:
The decay of this element can be modeled by the following expression:
m(t) = 540*(1 - 0.179)^t
Where m is the mass of the element in a given minute t. This expression comes from a compounded interest formula, with negative rate, since they will work in the same manner. Therefore to find how long until it reaches 90 g, we need to make m = 90 and solve for t.
90 = 540*(0.821)^t
(0.821)^t = 90 / 540
(0.821)^t = 1/6
ln(0.821^t) = ln(1/6)
t*ln(0.821) = ln(1) - ln(6)
t*ln(0.821) = - ln(6)
t = -ln(6)/ln(0.821) = 9.08452
It'll take approximately 9.1 minutes
Answer:
-6
Step-by-step explanation:
Trust me fam
change 5 4/10 to an improper fraction (10*5 +4)/10 = 54/10
54/10 divided by 6/10
copy dot flip
54/10* 10/6
54/6
9
There are 9 servings of soup
Answer:
Step-by-step explanation:
What is the least common denominator of 1/3 and 1 2?
The denominator of the largest piece that covers both fractions is the least common denominator (LCD) of the two fractions. So, the least common denominator of 12 and 13 is 6 .
