Answer:
.
Step-by-step explanation:
We are given the graph of a sinusoidal function.
From the graph we see that,
The given graph is represented by the function
<em>Now, 'If a function f(x) is of period P, then f(bx) has period '.</em>
So, we get,
As, have period .
Then, have period i.e. .
Since, 'Frequency is the reciprocal of the period',
We have,
Frequency of the given function is .
Answer:
x=2 and y=3
Step-by-step explanation:
This is a system of equations that you would solve by substitution.
Start by solving for x by plugging in the value of y:
x + 2(x+1) = 8,
Then simplify:
3x = 6 / x = 2
Now plug the known value of x into the first equation:
y = (2) + 1
Simplify,
y = 2
I hope this helps!
Answer:
174kN
Step-by-step explanation:
F ( force) = mass (m) × acceleration (a)
From equations of motion
h = ut + 1/2at^2
h = 60m, t = 0.01s, u = 0m/s
60 = 1/2×a×0.01^2
a = 60×2/1×10^-4 = 1.2×10^6m/s^2
Mass (m) = 145g = 145/1000 = 0.145kg
F = ma = 0.145×1.2×10^6 = 174000N = 174000/1000 = 174kN
Answer:
<u>$16.74</u> will be paid for the chips.
Step-by-step explanation:
Given:
A 40-pack of Doritos cool ranch chips costs $25.75.
It's on sale at 35% off.
Now, to find the price to pay for the chips.
Cost of chips = $25.75.
Sale = 35% off.
According to question:
Thus, to get the cost of chips on sale at 35% off:
<u><em>$25.75 - 35% of $25.75.</em></u>
Therefore, $16.74 will be paid for the chips.
We can translate the given problem into a table containing the data expressed as
x c(x) ($)2 274 10510 675
to find the total cost of producing 5 cases, we plot first the data and find the equation. The equation is c(x) = 7x2 - 3x + 5. when x is equal to 5, then c(x) is equal to $165