Answer:
Step-by-step explanation:
The sunflower then began to grow at a rate of 2 inches per week. This means that the rate of growth of the sunflower is in arithmetic progression. We would apply the formula for determining the nth term of an arithmetic sequence which is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 25 inches
d = 2 inches
To determine the height after 7 weeks, T7
n = 7
T7 = 25 + 2(7 - 1)
T7 = 25 + 12
T7 = 37 inches
To determine the height after w weeks, Tw
n = w
Tw = 25 + 2(w - 1)
Tw = 25 + 2w - 2
Tw = 23 + 2w
Answer:
- Decay rate, r = 0.014
- Initial Amount =120,000
- P(10)=104,220
Step-by-step explanation:
The exponential function for growth/decay is given as:
In this problem:
The city's initial population is 120,000 and it decreases by 1.4% per year.
- Since the population decreases, it is a Decay Problem.
- Decay rate, r=1.4% =0.014
- Initial Amount =120,000
Therefore, the function is:
When t=10 years
Answer:
J
Step-by-step explanation:
If the side of the shape is increased by 3/2 then the total distance around the shape will be 3/2 bigger.
Example: If the pentagon has side length 2 then it becomes 2*3/2 = 6/2 = 3.
The original perimeter was 2+2+2+2+2 = 10.
The new perimeter is 3+3+3+3+3 = 15.
Did you notice that 
? J is correct.
The answers are 3/8 and 1/6.
There are 8 possible outcomes in the sample space for flipping 3 coins. Of those, 3 include two heads and 1 tail. This makes the probability 3/8.
Choosing a quarter for the first coin is 3/10, since there are 3 quarters out of 10 coins. After this, choosing a dime is given by 5/9, since there are 5 dimes out of 9 coins left:
3/10(5/9) = 15/90 = 1/6
Answer:
<B = 3(14) + 6 = 48 degrees
Step-by-step explanation:
4x+6+3x+6+5x = 180 degrees
12x + 12 = 180
12x = 180 - 12
x = 168/12
x = 14
