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labwork [276]
2 years ago
12

Which compound inequality has no solution?

Mathematics
1 answer:
-BARSIC- [3]2 years ago
3 0

Answer:

five points???????????????????

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The volume of a cylinder with radius of 10cm and height of 15cm​
aleksandr82 [10.1K]

You would use the equation pi times radius to the second ( radius times radius) times height to get 4,710

3 0
3 years ago
Solve the equation<br> (k-1)^3/2 -3 =61
zimovet [89]
The correct answer is k=6.03968419. Hope this helps! ;D
5 0
2 years ago
Find lim h-&gt;0 f(9+h)-f(9)/h if f(x)=x^4 a. 23 b. -2916 c. 2916 d. 2925
Svetach [21]

\displaystyle\lim_{h\to0}\frac{f(9+h)-f(9)}h = \lim_{h\to0}\frac{(9+h)^4-9^4}h

Carry out the binomial expansion in the numerator:

(9+h)^4 = 9^4+4\times9^3h+6\times9^2h^2+4\times9h^3+h^4

Then the 9⁴ terms cancel each other, so in the limit we have

\displaystyle \lim_{h\to0}\frac{4\times9^3h+6\times9^2h^2+4\times9h^3+h^4}h

Since <em>h</em> is approaching 0, that means <em>h</em> ≠ 0, so we can cancel the common factor of <em>h</em> in both numerator and denominator:

\displaystyle \lim_{h\to0}(4\times9^3+6\times9^2h+4\times9h^2+h^3)

Then when <em>h</em> converges to 0, each remaining term containing <em>h</em> goes to 0, leaving you with

\displaystyle\lim_{h\to0}\frac{f(9+h)-f(9)}h = 4\times9^3 = \boxed{2916}

or choice C.

Alternatively, you can recognize the given limit as the derivative of <em>f(x)</em> at <em>x</em> = 9:

f'(x) = \displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h \implies f'(9) = \lim_{h\to0}\frac{f(9+h)-f(9)}h

We have <em>f(x)</em> = <em>x</em> ⁴, so <em>f '(x)</em> = 4<em>x</em> ³, and evaluating this at <em>x</em> = 9 gives the same result, 2916.

8 0
3 years ago
bert is planning to open a savings account that earns 1.6% simple interest yearly. He wants to earn exactly 128 interest in 2 ye
mina [271]
The formula for simple interest is <em>I</em> = <em>prt</em>, where <em>I </em>is the amount of interest, <em>p</em> is the principal invested, <em>r</em> is the rate as a decimal number and <em>t</em> is the amount of time.  Substituting our given information we have
128 = <em>p</em>(0.016)(2) ----- 1.6% = 1.6/100 = 0.016
128 = <em>p</em>(0.032)
Divide both sides by 0.032:
128/0.032 = <em>p</em>(0.032)/0.032
4000 = <em>p</em>
He needs to invest $4000.
7 0
3 years ago
The area of a circle is 100π cm². What is the circumference, in centimeters? Express your answer in terms of \piπ.
Montano1993 [528]
35.45 cm squared. Hope this helps
3 0
3 years ago
Read 2 more answers
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