Answer:
10.7 m
Step-by-step explanation:
Given that,
The speed of a sound wave, v = 6,420 m/s
The frequency of the wave, f = 600 Hz
We need to find the wavelength of the wave. We can find it using the below relation as follows :

So, the wavelength of the sound wave is equal to 10.7 m.
Answer:
P = 49°
R = 131°
Q = 114°
S = 66°
Step-by-step explanation:
in a quadrilateral inscribed in a circle, the opposite angles are always supplementary, meaning they add up to 150
we are given opposite angles P and R (S is not given so we can't use Q and S)
P+R = 180
5y+14 + 15y + 26 = 180
20y + 40 = 180
20y = 140
y = 7
so...
P = 5(7) + 14 = 35 + 14 = 49
R = 180-49 (since opposite angles in inscribed quadrilaterals are supplementary) = 131
Q = (7)^2 + 65 = 49 + 65 = 114
S = 180-114 = 66
Answer:

Step-by-step explanation:
we know that
The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.
we have
15,18 and 25
Decompose the numbers in prime factors



Multiply common and uncommon numbers with their greatest exponent
so
The LCM is equal to


Answer:
The average rate of change of the function from x=1 to x=2 will be: 10.5
Step-by-step explanation:
Given the function

at x₁ = 1,
f(x₁) = f(1) = -14/(1)² = -14/1 = -14
at x₂ = 2,
f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [-3.5 - (-14)] / [2 - 1]
= [-3.5 + 14] / [1]
= 10.5 / 1
= 10.5
Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5
Answer:
C
Step-by-step explanation:
What makes a function is if each input or x-value has EXACTLY one output or y-value.
a. is wrong because the x value 1, has both an output of 1 and 4
b. is wrong because -1 is repeated 4 times with all different outputs
c. is correct because each input has exactly one output. None of the x values repeat itself
d. is wrong because -1 has 2 outputs.
so this is what makes a function and what doesn't. Hope this helps!