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Nana76 [90]
4 years ago
8

What is 4,876,213 rounded to the nearest ten thousand

Mathematics
1 answer:
Nutka1998 [239]4 years ago
4 0
4,880,000

hope that helps!!
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If f is a differentiable function, find an expression for the derivative of each of the following functions
almond37 [142]

12a. Answer:  d) x⁶ f'(x) + 6x⁵ f(x)

<u>Step-by-step explanation:</u>

Use the multiplication formula for derivatives:

y = a · b       →     y' = a'b + ab'

<u>y = x⁶ · f(x)     </u>  

a = x⁶          b = f(x)

a' = 6x⁵       b' = f'(x)

<u>y' = a'b + ab'</u>

y' = 6x⁵ f(x) + x⁶ f'(x)

***************************************************************

12b. Answer:  \bold{b)\ y=\dfrac{xf'(x)-9f(x)}{x^{10}}'}

<u>Step-by-step explanation:</u>

Use the division formula for derivatives:

y=\dfrac{a}{b}       →     y' = \dfrac{a'b - ab'}{b^2}

y=\dfrac{f(x)}{x^9}\\\\a=f(x)\qquad b=x^9\\\\a'=f(x)\qquad b'=9x^8\\\\y'=\dfrac{a'b-ab'}{b^2}\\\\y'=\dfrac{x^9f'(x)-9x^8f(x)}{(x^9)^2}\\\\.\ =\dfrac{x^9f'(x)-9x^8f(x)}{x^{18}}\\\\\text{factor out }x^{8}: y'=\dfrac{xf'(x)-9f(x)}{x^{10}}

Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.

5 0
3 years ago
Suppose you are going to graph the data in the table.
Svetradugi [14.3K]

Answer:

The correct representation of data on x-axis and y-axis is:

x-axis: minutes in increments of 5; y-axis: temperature in increments of 5

Step-by-step explanation:

The minutes will be plotted along the x-axis with increment of 5 minutes because the minutes represents here the independent variable

and the temperature will be plotted along the y-axis with the increment of 5 degrees Celsius because the temperature denotes the dependent variable.


5 0
3 years ago
Which choice could you use to find the distance D between the points shown on the number line
MariettaO [177]

Answer:

d = |145 − (−235)|

Step-by-step explanation:

6 0
3 years ago
Can y’all help me with this!???? I’ll boost you up!
Alecsey [184]

The equations have been computed below

<h3>How to illustrate the information?</h3>

3(x + 2) + 11 = 5(x - 4)

3x + 6 + 11 = 5x - 20

Collect like terms

3x - 5x = -20 - 17

-2x = -37

x = 37/2

x = 18.5

6x + 4 = 3(3 - 2x)

6x + 4 = 9 - 6x

Collect like terms

6x + 6x = 9 - 4

12x = 5.

x = 5/12

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

7 0
2 years ago
What height on the wall will a 15 foot ladder reach if its plaxed 3.5 feet from the base of a wall
quester [9]
I would be happy to help with this question!
you would need to use the pythagorean theorem inputting 3.5 for a and 15 for c. after this you will need to solve for b and you should get the answer of 14.6feet
7 0
3 years ago
Read 2 more answers
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