Answer:
The numbers of measure of music played are 1 and 7
Step-by-step explanation:
Given
Required
Solve for x when s = 80
Substitute 80 for x
Subtract 50 from both sides
Divide through by 10
Reorder
This can be split into
or 
Solve for x
or 
or 
Hence:
<em>The numbers of measure of music played are 1 and 7</em>
![\displaystyle\lim_{n\to\infty}\sqrt[n]{\left|\left(\frac{5n+15}{2n-1}\right)^n\right|}=\lim_{n\to\infty}\frac{5n+15}{2n-1}=\dfrac52](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bn%5Cto%5Cinfty%7D%5Csqrt%5Bn%5D%7B%5Cleft%7C%5Cleft%28%5Cfrac%7B5n%2B15%7D%7B2n-1%7D%5Cright%29%5En%5Cright%7C%7D%3D%5Clim_%7Bn%5Cto%5Cinfty%7D%5Cfrac%7B5n%2B15%7D%7B2n-1%7D%3D%5Cdfrac52)
Since this limit exceeds 1, the series diverges.
The last one is not scientific notation because the 25.67 is greater than 10
Answer: The width is: " 10 in. " .
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Explanation:
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Consider a "rectangular prism".
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The formula for the Volume of a rectangular prism:
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V = L * w * h ;
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in which:
V = volume = 120 in.³ ;
L = length = 8 in.
w = width = ??
h = height = 1.5 in.
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We want to solve for "w" (width) ;
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Given the formula:
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V = L * w * h ;
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Rewrite the formula; by dividing EACH SIDE of the equation by
"(L * h)" ; to isolate "w" on one side of the equation;
and to solve for "w" ;
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→ V / (L * h) = ( L * w * h) / (L * h) ;
to get:
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→ V / (L * h) = w ;
↔ w = V / (L * h) ;
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Plug in our given values for "V", "L"; and "h"; to solve for "w" ;
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→ w = (120 in.³) / (8 in. * 1.5 in.) ;
→ w = (120 in.³) / (12 in.²) ;
→ w = (120/12) in. = 10 in.
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Answer:
[f(2) - f(-1)]/3
Step-by-step explanation:
The table is incomplete, so I will answer the question in general terms. The rate of change between f(-1) and f(2) is computed as follows:
rate of change = [f(2) - f(-1)]/[2 - (-1)] = [f(2) - f(-1)]/3
To complete the calculation you need to replace the values of the function at x = 2 and x = -1, and compute the result.
