Answer:
x = 5
m∡B = 66°
Step-by-step explanation:
these two angles are same-side interior angles, which are supplementary
8x + 74 + 2x + 56 = 180
10x + 130 = 180
10x = 50
x = 5
m∡B = 2(5) + 56 = 66°
The cost of the loan is increasing as time goes by.
<h3>Exponential function</h3>
The standard exponential function is expressed as:
y = ab^x
b is the rate of the function
The value of b depends on the increase or decrease in the rate
Since the value of b in the function 5000(1.08)^x is greater than 1, hence the the cost of the loan is increasing as time goes by.
Learn more on expoenential function here: brainly.com/question/12940982
Answer:
dV/dt = 100 cm³/min
Step-by-step explanation:
Given
V = 728 cm³
P = 182 kPa
dP/dt = - 25 kPa/min
dV/dt = ?
If we apply the ideal gas equation
P*V = n*R*T
where n*R*T is constant
we have
d(P*V)/dt = d(n*R*T)/dt
⇒ d(P*V)/dt = 0
⇒ V*(dP/dt) + P*(dV/dt) = 0
⇒ dV/dt = - (V/P)*(dP/dt)
Plugging the known values we obtain
⇒ dV/dt = - (728 cm³/182 kPa)*(- 25 kPa/min)
⇒ dV/dt = 100 cm³/min
Answer:
Hanging out with my family. :D
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
its a