Answer:
a) Rumble: $1
Pedal: $0.6
b) more than 5 songs
c) No, should be integers only
d) No, has to be integers greater than or equal to 2
Step-by-step explanation:
Part a
Rate per song is the slope.
Rumble:
Slope is 0.6
Rate is $0.6 per song
Pedal:
Slope: (4-2)/(2-0) = 1
Rate is $1 per song
Part b
Pedal would be a better deal if it's cost is lower than Rumble's
Rumble's cost: C = 2 + S
Pedal's cost: C = 4 + 0.6S
4 + 0.6S < 2 + S
0.4S > 2
S > 5
c) No, because no. of songs has to be positive integers only.
For example graph shows S = 2.5, but we know that's not possible
d) No, since the cost is 2 + S,
cost can't be in decimals either.
Cost too should be only integers greater than equal to 2
Answer: 5.9 cm for both triangles.
Step-by-step explanation:
Hi, since the situation forms 2 right triangles we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of a triangle (the longest side of the triangle) and a and b are the other sides.
Replacing with the values given:
c^2 = 3^2 + 5^2
c^2 = 9+25
c^2 = 34
c = √34
c = 5.9 cm
Since both triangles are identical ( same side lengths) the hypotenuse is the same for both, 5.9 cm.
Feel free to ask for more if needed or if you did not understand something.
Answer:
h = 8 feet
Step-by-step explanation:
see attached
Answer:
661.7 million
Step-by-step explanation:
Given the exponential model :
A = 661.7 e^0.011t
The general form of an Exponential model is expresses as :
A = A0 * e^rt
Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed
From the question t = time after 2003
Therefore, A0 = initial population, which is the population in 2003
Therefore, A0 = 661.7
Or we could put t = 0 in the equation and solve for A
A = 661.7 e^0.011(0)
A = 661.7 * 1
A = 661.7
Hence, population in 2003 is 661.7 million
Answer:
1.580 Liters
Step-by-step explanation:
We know that 1000 mL = 1 Liter
1580 ml * 1L/1000 ml
1.580 Liters
