<span>{(p^2)(q^50}^5 * {(p^-4)(q^50}^-2
= </span><span>p^10 q^250 * p^8 q^-100
= p^18 q^150
Hope it helps.</span>
Similarities: same atomic number
Differences: they have a different number of neutrons
A line can be drawn by joining the plot of the two given points
- Please find attached the graph of the line created with MS Excel
- The equation of the line is <u>y = -x - 2</u>
Reason:
Given points on the line are (-5, 3) and (-1, -1)
- From the given points, the graph of the line can be plotted with MS Excel
The slope, <em>m</em>, of the line is given as follows
Therefore, we have;
The equation of the line in point and slope form is therefore;
y - 3 = -1·(x - (-5) = -x - 5
In slope and intercept form, we have;
y = -x - 5 + 3 = -x - 2
- The equation of the line in slope and intercept form is <u>y = -x - 2</u>
Learn more here:
brainly.com/question/2088114
The 12th term = a + 11d where a is the first term and d is the common difference
a + 11d = 74
The first three terms are a, a + d, a + 2d
a + (a + d) + (a + 2d) = 42
3a + 3d = 42
a + d = 42 / 3 = 14
By subtracting this equation from the T12 equation
(a + 11d) - (a + d) = 74 - 14
10d = 60
d = 6 (the common difference = 6)
a + 6 = 14
a = 14 - 6 = 8 (the first term = 8)
S(n) = n/2 x (2a + (n-1)d)
S(10) = 10/2 x (2x8 + (10-1)x6)
S(10) = 5 x (16 + 54) = 5 x 70 = 350
9514 1404 393
Answer:
C
Step-by-step explanation:
The graph is of the "greatest integer" (floor) function shifted up by 3 units. Hence the appropriate choice is C.
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The greatest integer less than or equal to x for 0 ≤ x < 1 is 0, so the horizontal line segment at f(x)=3 indicates 3 has been added to the function.
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<em>Additional comment</em>
The brackets used for floor and ceiling functions only have horizontal bits below or above (respectively) the enclosed argument. The usual square brackets [ ] need explanation as to their meaning if they are intended to indicate one or the other of these functions.