12 1/3 or 12.33.
EXPLANATION:
because of order of operations or PEMDAS, multiplication comes first.
4 x 3 = 12
so now we have 1/3 + 12.
So 12 1/3.
Which in decimal form is 12.33
There are 9 lines of symmetry and infinite rotational symmetries in first figure,4 lines of symmetry and no rotational symmetries in second figure,6 lines of symmetry and infinite rotational symmetries in third figure,1 line of symmetry and infinite rotational symmetries in fourth figure.
Given four figures.
We are required to find the number of lines of symmetry and rotational symmtries.
Symmetry lines are those lines which act as shape in such a way that both parts are like mirror image.
Rotational symmetry is the property that a shape has when it looks same after some turn.
- There are 9 lines of symmetry and infinite rotational symmetries in first figure.
- There are 4 lines of symmetry and no rotational symmetries in second figure.
- There are 6 lines of symmetry and infinite rotational symmetries in third figure.
- There is 1 line of symmetry and infinite rotational symmetries in fourth figure.
Hence there are 9 lines of symmetry and infinite rotational symmetries in first figure,4 lines of symmetry and no rotational symmetries in second figure,6 lines of symmetry and infinite rotational symmetries in third figure,1 line of symmetry and infinite rotational symmetries in fourth figure.
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Answer:
31217.34
Step-by-step explanation:
92000+92800+99000+100500+105000=489300/5=97860 avg salary
97860X.0145=1418.97x22=31217.34
The answers will be:
- (4, 5)
- remain constant and increase
- g(x) exceeds the value of f(x)
<h3>What is Slope and curve?</h3>
a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
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