Rewrite the expression log5 7 using only the natural logarithm (5 is the base)

Mathematics

1 answer:

ELEN [110]3 years ago

7 0

7 times 5 equal 35. Hope this helped

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Use the four-step definition of the derivative to find f'(x) if f(x) = −4x^3 −1.

guapka [62]

$\stackrel{de finition \textit{ of a derivative as a limit}}{\lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[-4(x+h)^3-1]~~ - ~~[-4x^3-1]}{h} \\\\\\ \cfrac{[-4(x^3+3x^2h+3xh^2+h^3)-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{[-4x^3-12x^2h-12xh^2-4h^3-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{-4x^3-12x^2h-12xh^2-4h^3-1+4x^3+1}{h}\implies \cfrac{-12x^2h-12xh^2-4h^3}{h}$

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2 years ago

Quotient of 2/9 and 2/5

Annette [7]

8/45 is the correct answerrrrrr

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3 years ago

A total of 65 pounds of iceberg lettuce heads are purchased for use in a banquet of 120 people. If 6 ounces of cleaned chopped l

makvit [3.9K]

65 lbs= 1040 oz

120 people x 6 oz = 720 oz

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3 years ago

Which is a factor of 5xy − 40x − 15y + 120? <br> A. 2 <br> B. y − 8 <br> C. x − 4 <br> D. x + 6

Phantasy [73]

Upon slight rearranging:

5xy-15y-40x+120, now factor 1st and 2nd pair of terms

5y(x-3)-40(x-3) which is equal to:

(5y-40)(x-3) if we factor the first parenthetical term as well

5(y-8)(x-3)

So (y-8) is a factor

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3 years ago

What is the slope of the line that passes through the point (2,1) and (17,-17)?

Natasha2012 [34]

Answer:-1.2

Step-by-step explanation:

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