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Answer:
The answer is below
Step-by-step explanation:
Given the function as:
f(x)=5sin(πx / 15)+180,
a) The angular frequency (ω) = 2π * frequency
but ω = π/15, hence:
π/15 = 2π * frequency
frequency = (π/15)/2π
frequency = 1/30 hertz
Period (T) = 1/frequency = 1/(1/30) = 30 seconds
b) The period is 30 seconds. This means that it reaches the maximum temperature every 30 seconds.
In one hour (3600 s), the number of times the function reaches a maximum temperature = 3600 s / 30 s = 120
The correct option is B): "<span>Let x = 1st integer. Let x + 2 = 2nd integer.</span><span>"
Given that "The sum of two consecutive odd integers is 28."
Now the difference between two odd numbers is 2.
So this means that one odd number has to be greater than the other by 2.
Let the smaller number be 'X' therefore the bigger number will be 'x+2'
thus
x + (x+2) = 28
therefore,
x + x + 2 = 28
now we subtract "2" from both the sides
therefore,
2x = 26
now dividing throughout by 2 we get:
x = 13
therefore,
x + 2 = 13+2
= 15
therefore, the numbers are
13 AND 15</span>
The approximate middle value
Ok so assumin by 2x3 you mean 2x^3 or 2 times x cubed
PEMDAS
parenthasees
exponentes
multiply
divide
add
subtract
exponents
we have
2(3)^3+3(4)^2-17
exonents
3^3=27
4^2=16
now we have
2(27)+3(16)-17
distribute (multply)
2 tiems 27=54
3 times 16=48
now we have
54+48-17
add/subtract
85
answer is 85
