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Solnce55 [7]
3 years ago
8

If GF = 3.2 ft, which is a possible measure of TS?

Mathematics
2 answers:
iVinArrow [24]3 years ago
6 0

Answer:

C. 3.2

If GF = 3.2 a possible measure of TS is 3.2

Lilit [14]3 years ago
3 0

Answer:

3.2

Step-by-step explanation:since its parallel it would be the same thing 3.2

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As you progress in math, it will become increasingly important that you know how to express exponentiation properly.

y = 2x3 – x2 – 4x + 5  should be written    <span>y = 2^x3 – x^2 – 4^x + 5.  The 
" ^ " symbol denotes exponentiation.

I see you're apparently in middle school.  Is that so?  If so, are you taking calculus already?  If so, nice!

Case 1:  You do not yet know calculus and have not differentiated or found critical values.  Sketch the function          </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5).  Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?

Case 2:  You do know differentiation, critical values and the first derivative test.  Differentiate  y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:

dy/dx = 6x^2 - 2x - 4 = 0.  Reduce this by dividing all terms by 2:

dy/dx = 3x^2 - x - 2 = 0    I used synthetic div. to determine that one root is x = 2/3.  Try it yourself.  This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1.  Again, you should check this.

Now we have 2 roots:  -1 and 2/3

Draw a number line.  Locate the origin (0,0).  Plot the points (-1, 0) and (2/3, 0).  This subdivides the number line into 3 subintervals:

(-infinity, -1), (-1, 2/3) and (2/3, infinity).

Choose a test number from each interval and subst. it for x in the derivative formula above.  If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.

Ask all the questions you want, if this explanation is not sufficiently clear.

4 0
3 years ago
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A positive number with an absolute value less than 5.
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Answer:

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4 0
2 years ago
Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she wo
Elodia [21]

Answer:

She will earn <u>$442.89</u> in one week after the changes.

And this is <u>more</u> than her previous weekly earnings.

Step-by-step explanation:

Given:

Alondra received a 14% hourly raise, but the number of hours worked decreased by 7.5%. If her wage was $10.50 an hour and she worked 40 hours per week before the changes.

Now, to find money she will earn in one week after the changes.

Her wage was = $10.50.

She worked per week = 40 hours.

So, her salary before changes:

10.50\times 40\\\\=\$420.

Thus, the salary per week before changes is $420.

Now, to get her salary after 14% hourly raise:

10.50+14\%\ of\ 10.50\\\\=10.50+\frac{14}{100} \times 10.50\\\\=10.50+1.47\\\\=11.97

<u>Salary after hourly raise = $11.97 per hour.</u>

Then, to get the number of hours worked decreased by 7.5%:

40-7.5\%\ of\ 40\\\\=40-\frac{7.5}{100} \times 40\\\\=40-3\\\\=37.

<u>Number of hours per week after hours of worked decreased  = 37 hours.</u>

Now, to get the salary after changes:

<em>Salary after hourly raise × number of hours per week after hours of worked decreased</em>

=11.97\times 37

=\$442.89.

<u>Salary after changes in one week = $442.89.</u>

<u><em>As, the previous salary was $420 in one week. </em></u>

<u><em>And after changes this salary is $442.89 in one week which is more than previous. </em></u>

Therefore, she will earn $442.89 in one week after the changes.

And this is more than her previous weekly earnings.

4 0
3 years ago
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