Answer:
Only first two are exponential growth function and last three functions are exponential decay functions.
Step-by-step explanation:
We need to describe exponential growth or decay for the given functions.
The standard exponential function equation is
Where a is the initial value and b is the growth factor.
Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.
Value of b is 1.008 > 1, therefor it's an exponential growth function.
y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.
All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.
1. Answer;
Force = 98.1 Newtons
Explanation;
-On the hanging mass the net force is
Fnet = Mh*g - T = Mh*a where Mh is the mass = 10kg, g = 9.81m/s², and T the tension in the string. Its acceleration is a ( same as g)
Thus; Force = 10 kg × 9.81 m/s²
= 98.1 Newtons.
2. Answer;
a = 4.905 m/s²
Solution;
-We know that that T = Ms*a, but Fnet = Mh*g - T = Mh*a
Substituting; T with Ms*a
Mh*g - Ms*a = Mh*a
Mh*a + Ms*a = Mh*g
a = Mh*g/(Mh + Ms)
= 10.0kg*9.81 m/s²/(10kg + 10kg)
= 4.905 m/s²
I used the special right triangle rules for a 30-60-90 degree right triangle. The width of the park is 2 miles and the length of the sidewalk is 4 miles.
Answer:
Area: 6x+6
Perimiter: 4x+10
Step-by-step explanation: to find the area of something multiply the width times the height. to find the perimeter of something add each side together. use the order of operations (PEMDAS).
Area=3(2x+2)
Area=6x+6
Perimeter=3+3+(2x+2)+(2x+2)
Perimeter=6+4x+4
Perimeter=4x+10
Answer: Hence angles are 36° , 54° and 90°.