The student would have to score 100% on their next test to brung their average up to 90. Here is why;
90+84+86=260
(260+?)/4=90
(260+100)/4=90
360/4=90
This is done to get the mean (or average) of a group of numbers by adding all the numbers and dividing by the amount of numbers you added together. Here it is divided by 4 because of the three tests he has taken and the test he will take.
X +y = 5
x = 5-y
---------------------
2x -y = 1
2•(5-y) -y = 1
10 -2y -y = 1
10 -3y = 1
-3 y = 1-10
-3y = -9
then you can divide it
y = -9/-3
y= 3
for x :
x + y = 5
x + (3) = 5
x= 5-3
x= 2
(x,y)
(2,3)
Answer:
We conclude that the function remains constant over the interval [0, 2].
Step-by-step explanation:
We know that if x increases from left to right and y remains constant, the function remains constant over a certain interval.
From the given graph below, it is clear that from x = 0 to x = 2 the value of y does not change.
In other words, the value of y remains constant from x = 0 to x = 2.
i.e.
at x = 0, y = 5
at x = 1, y = 5
at x = 2, y = 5
Therefore, we conclude that the function remains constant over the interval [0, 2].
<h2>
Answer: 816 years</h2>
This problem can be solved using the <u>Radioactive Half Life Formula:
</u>
<u />
(1)
Where:
is the final amount of the material
is the initial amount of the material
is the time elapsed (the quantity we are asked to find)
is the half life of americium-241
Knowing this, let's find from (1):
Applying natural logarithm in both sides:
<u></u>
<u>Finally:</u>
Answer:
Complementary
Step-by-step explanation:
