Answer:
Hi! The answer to your question is y = 9
Step-by-step explanation:
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Answer:
205
Step-by-step explanation:
Given
N(t) = 100 + 15t is the equation of the relation.
We're asked to find N(7)
Taking a look at the question again and putting it side by side the equation
N(t)
N(7)
We can deduce that t = 7, and as such, solve for it in the equation given
N(7) = 100 + 15(7)
N(7) = 100 + 105
N(7) = 205
Therefore, the number of unread mails after 7 days will be 205
Firstly , we can draw diagram
we can see that
adjacent = 850
opposite =250
so, we can use tan formula


16.38

so,
angle of depression is 16.38 degree........Answer
Answer and Step-by-step explanation:
Each package has 12 pencils
total number of pencils Sarah purchased: n = 12p
n = total number of pencils
p = number of packages
n depends on p, because the total number of pencils dependos on how many packages she will buy, so:
independent variable: p
dependent variable: n
╔═══╦══════════╦════╗
║ p ║ n = 12p ║ n ║
╠═══╬══════════╬════╣
║ 3 ║ n = 12*3 ║ 36 ║
╠═══╬══════════╬════╣
║ 4 ║ n = 12*4 ║ 48 ║
╠═══╬══════════╬════╣
║ 5 ║ n = 12*5 ║ 60 ║
╠═══╬══════════╬════╣
║ 6 ║ n = 12*6 ║ 72 ║
╠═══╬══════════╬════╣
║ 7 ║ n = 12*7 ║ 84 ║
╚═══╩══════════╩════╝
Answer:
12
Step-by-step explanation:
Given that
Current count of pushups = 8
Number of increase in pushups each day = 2
The desired pushup goal on daily basis = 30
Days require = x= ?
as we can conclude the number of pushups would increase by following sequence
8, 10, 12, 14, 16, ......30
Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.
First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.
So
X1 = 8
Xn = 30
d = 2
Using the formula of nth term for arithmetic sequence
Xn = X1 + (n-1)d
Substituting the values
30 = 8 + (n-1)2
30-8 = (n-1)2
22 = 2n -2
22+2 = 2n
2n = 24
n = 24/2
n = 12
So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.