Answer:
8
Step-by-step explanation:
Fourmla:
a^2+b^2=c^2
7^2=49
3^2=9
49+9=58
square root of 58 is about 8.
Usually the easiest way to solve this is by using a calculator. Of course only if your teacher allows you too.
Answer:
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 + r)^t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 5655
r = 1.4% = 1.4/100 = 0.14,
a) Therefore, the equation that estimates the population t years after 2010 is
A = 5655(1 + 0.14)^t
A = 5655(1.14)^t
b) in 2022, the number of years t = 2022 - 2010 = 12
Therefore,
A = 5655(1.14)^12
A = 27245
Answer:
B) 
Step-by-step explanation:
Technically, since the function starts at its maximum, you could say the function is 
, but the answer choices all use sine instead. Therefore, we will have to use the cofunction identity 
and we can see that the correct answer is B.
Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
