Answer:
D is the correct answer
Step-by-step explanation:
Fifth row of Pascal pyramid is 1 , 5, 10, 10, 5 , 1
The expansion should always have n + 1 number of terms
Where n is the power
Answer:
line a and b are parallel
line c is not perpendicular because it is not 3
step-by-step explanation:
if the slope is the same it is parallel
if the slope is the complete opposite it is perpendicular
lines a and b are parallel with a slope of -1/3
(0, 5) (3, 4)
m = 4 - 5 / 3 - 0
m = -1 / 3
m = -1/3
(-1, 1) (2, 0)
m = 0 - 1 / 2 + 1
m = -1 / 3
m = -1/3
line c is perpendicular to lines a and b the slope is
(0, 0) (2, 5)
m = 5 - 0 / 2 - 0
m = 5/2
2.5
Answer
Notebook each =$4
Folder each = $9
First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30
Because we know from the first equation
f=n+5, we can substitute that into the second equation for f
3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4
Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9
We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct
13/ 52 = 1/4 chances.
There are 13 spades and 52 cards. You divide the spades and cards in the deck to find your chances of drawing one.
You have a 25% chance of getting a spade.
Now you put it back. Since you put it back, you still have the same number of cards and the same number of spades. So when you divide 13/52 again, the numbers are still the same. 1/4. 25% chance.
So, you still have a 25% chance the second time around.
Answer:
Tacoma's population in 2014 will be 587,439 people
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by the formula
where
y is Tacoma's population in thousand
x is the number of years since 2000
r is the rate of change
a is the initial value
we have
substitute
what will Tacoma's population be in 2014?
Find the value of x
substitute the value of x
therefore
Tacoma's population in 2014 will be 587,439 people
