Answer:
D
Step-by-step explanation:
The starting term is a1.
That's the very first term.
a1 = - 10
The second term = -17 which means that you added - 7 to - 10.
So d must be - 7
The formula must be
an = a1 + (n - 1)*d
an = -10 + (n - 1)(-7)
You might wonder why it is n - 1. The reason is because the first term is already added on the right side. The -1 means that we have already included the first term.
We should try the formula out to see what it does. Let's find a4
a4 = -10 + (4 -1)*-7
a4 = -10 + 3(-7)
a4 = -10 - 21
a4 = - 31 which is what the question suggests.
Answer:
Step-by-step explanation:
The formula is
which models the exponential function
where a is the initial amount of whatever it is you have (in our case it's bacteria), b is the growth rate (ours is 4 which means that every day the number from the day before increases by a factor of 4), and x is the number of days. We plug into the formula the values we have, starting with x = 1:
Always raise what's inside the parenthesis first, then multiply in the 45. 4 to the first is 4, and 4 multiplied by 45 is 180. After the first day, there are 180 bacteria present in the culture.
Next, x = 2:
which simplifies to
y = 45(16) so
y = 720.
Next, x = 3:
which simplifies to
y = 45(64) so
y = 2880
Answer:
$480
Step-by-step explanation:
12x12 = 144 sq feet.
144 sq feet = 16 sq yards.
$30 x 16 = $480
Answer:
D
Step-by-step explanation:
This comes out to 4. The other ones are absolute value, meaning there are no negatives. You can think of subtracting as adding a negative. When you role a dice however, you are never really moving backward.
Answer:
1. 3.81 x 10^2
2. 2.571428 × 10^1
3. 5x10^2
4. 1.09 x 10^-6
5. 2x10^-5
Step-by-step explanation:
Make sure to put a line over the numbers that have decimals.