Answer:
x^2 + y^2 = r^2
Step-by-step explanation:
See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.
<span>So we need to find the average speed of the bus that travels 20 km in 30 minutes. Average speed is defined as: Average speed=distance travelled/time taken or: v=s/t. We know s=20 km and t=30 minutes=0.5h. So after we input our numbers in the equation, we get: v=20km/0.5h=40km/h. So the correct answer is C) 40km/h.</span>
Answer:
Step-by-step explanation:
One formula for the reproduction of bacteria is
Data:
N = 2
N₀ = 1
t = 15 min
Calculation:
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
<h3>How to find the derivative of a quadratic equation by definition of derivative</h3>
In this question we have a quadratic function, in which we must make use of the definition of derivative to find the expression of its first derivative. Then, the procedure is shown below:
f(x) = x² - 5 Given
f' = [(x + h)² - 5 - x² + 5] / h Definition of derivative
(x² + 2 · x · h + h² - 5 - x² + 5) / h Perfect square trinomial
(2 · x · h + h²) / h Associative, commutative and modulative properties / Existence of additive inverse
2 · x + h Distributive, commutative and associative properties / Definition of division / Existence of multiplicative inverse
2 · x h = 0 / Result
The first derivative of the function f(x) = x² - 5 is equal to f'(x) = 2 · x.
To learn more on derivatives: brainly.com/question/25324584
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The interest in the first month is given as $ 97.1. The principal balance in the second question is $15,030.02
<h3>How to solve for the interest in the first month</h3>
1. We have to solve for the cost of the car
This would be = 19,725*(1.0475)
= 20,661.9375
There is a Down payment = 2,175
balance would be 20661.9375-2,175 = 18,486.94
average rating interest of new car = 6.30%
So the interest accrued in first month = 18,486.94x0.063/12 = $ 97.1
2. cost = 15867
sales tax = 5.25%
10 percent down payment
5.25/100 = 0.0525
cost of car = 15867 + (15867 * 0.0525)
= 16700 dollars
10% of 16700 dollars
= 1670 dollars
principal balance = 16700 - 1670
= $15,030.02
Read more on interest rate here
brainly.com/question/25793394
