The amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
<h3>What is cos function?</h3>
It is defined as the function which is in the form of cosine waves in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
We have a cos function:
y = 3/2 cos(3x) + 1
We know,
f(x) = acos(bx - c) + d
The above function represents the cos function where:
a = amplitude
b = is the period of the function
c = phase shift
d = vertical shift
On comparing we get:
a = 3/2
Thus, the amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
Learn more about the cos function here:
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Answer:
36 units
Step-by-step explanation:
Break it into 2 right triangles with legs 6 and 8 then the hypot = 10
8 +8 + 10 + 10 =36
To evaluate the series we proceed as follows:
2. -5,-15,-25,-35,-45
The common difference is (-15--5)=-10
thus the series is an arithmetic sequence hence the explicit formula will be:
an=a+(n-1)d
thus the formula for the series is:
an=-5+(n-1)(-10)
an=-10n+5
4. 0.5, 0.25,0,...,-0.75
The common difference =0.25-0.5=-0.25
The sequence is an arithmetic sequence:
the explicit formula will be:
an=0.5-0.25(n-1)
an=-0.25n+0.75
thus
n=4
a4=-0.25*4+0.75=-0.25
when n=5
a5=-0.25*5+0.75=-0.5
when n=6
a6=-0.25*6+0.75=-0.75
the missing values are -0.25 and -0.5
6] 4.5,5.6,6.7, ....,11.1
common difference=5.6-4.5=1.1
the sequence is an arithmetic sequence
The explicit formula is:
an=4.5+1.1(n-1)
an=1.1n+3.4
when n=4
an=1.1*4+3.4
a4=7.8
when n=5
a5=1.1*5+3.4
a5=8.9
a6=1.1*6+3.4
a6=10
the missing values are: 7.8, 8.9, 10
The missing angle would be 68 because the the triangles can be alternate exterior
Sales tax is charged on the subtotal (amount before tax).
First, find the subtotal by adding up all of the amounts.
4(675) + 2(110) + 5(41) + 6(135) + 230(2.50)
2700 + 220 + 205 + 810 + 575
Total = 4510
Next, we need to find 7% of 4510. That number is the sales tax.
0.07 x 4510 = 315.70
Sales Tax = $315.70
Total Amount (with tax) = $4825.70
Hope this helps!! :)
