Answer:
Number of ways chosen cookies = 8 ways
Step-by-step explanation:
Given;
Total number of chocolate chip cookies = 16
Total number of oatmeal raisin cookies = 12
Total number of cookies choose = 3
At least 1 chocolate cookie
Find:
Number of ways chosen cookies
Computation;
Number of total ways = 2³
Number of total ways = 8
If at least on cookie is chocolate cookie,
Number of ways chosen cookies = Number of total ways - 1
Number of ways chosen cookies = 9 - 1
Number of ways chosen cookies = 8 ways
Slope = ( 7+2)/(0 - 8) = -9/8
b = 7
equation
y = -9/8 x + 7
-------------------------------------
(-2,0)(0,-2)
slope = (0 +2)/(-2 - 0) = -1
-------------------------------
y = -2x
x = 0 y = 0
x = 1 y = -2
x = -1 = 2
use these 3 coordinate points to graph it
Answer:
- Considering the temperature is 0°C and
- It is changing at a rate of -3 per hour.
So, it took 11 hours for the change in temperature to be -33.
Step-by-step explanation:
Rate of change basically means the amount of change to how long it takes for the change to occur.
Rate of change = Change in Value/ Change in time
On a certain day the temperature changed at a rate of -3 per hour.
Let suppose the Temperature at 8:00 = 0°C
As the temperature changed at a rate of -3 per hour.
It means the Temperature at 9:00 = -3°C.
so
Rate of change = (-3 - 0)/(9:00 - 8:00) = -3°C per hour
So, the temperature to be -33°C, it would take 11 hour as -3 × 11 = -33.
Therefore, it took 11 hours for the change in temperature to be -33.
Answer:
t(n) = 2n² + n - 3
Step-by-step explanation:
<u>Given sequence: </u>
Find the formula for nth term t(n)
<h3>Solution</h3>
<u>Sequence is neither arithmetic nor geometric, analyzing:</u>
<u>First level difference</u>
<u>Second level difference</u>
<u>As there are two levels, the formula should be in the form of:</u>
<u>Trying the formula with the known terms:</u>
- t(2) = 4a + 2b + c = 7 ⇒ 3a + b = 7
- t(3) = 9a + 3b + c = 18 ⇒ 3(3a+b) + c = 18 ⇒ 21 + c = 18 ⇒ c = -3
<u>Going back to previous equations to find remaining coefficients:</u>
- t(1) ⇒ a+ b = 3 ⇒ t(2) = 2a + (a+b) = 7 ⇒2a + 3 = 7 ⇒ a= 2 ⇒ b = 1
<u>So the formula becomes:</u>
t(n) = 2n² + n - 3
Answer:
18.84
Step-by-step explanation:
c=2×3.14(pi) × 6(diameter)/2
c=2×3.14×6/2
c=18.84
