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diamong [38]
3 years ago
14

Simplify with positive exponents... Show your work.. -6a^-3 b^9 c / 18a^2 b^-2 C^4

Mathematics
2 answers:
Oksi-84 [34.3K]3 years ago
6 0

-(b^11)/(3a^5c^3)

go to freemathhelp.com/factoringcalculator.php to help you with things like that

olya-2409 [2.1K]3 years ago
5 0
<span>-6a^-3 b^9 c 
-------------------
18a^2 b^-2 C^4

=  a^-1 b^7
----------------
  -3 c^3

= b^7
-------------
 -3 a^1 c^3</span>
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5 Exam-style ABCD is a kite.
Mnenie [13.5K]

let's recall that in a Kite the diagonals meet each other at 90° angles, Check the picture below, so we're looking for the equation of a line that's perpendicular to BD and that passes through (-1 , 3).

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of BD

y = \stackrel{\stackrel{m}{\downarrow }}{3}x-1\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}

so we're really looking for the equation of a line whose slope is -1/3 and passes through point A

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{1}{3}}[x-\stackrel{x_1}{(-1)}]\implies y-3=-\cfrac{1}{3}(x+1) \\\\\\ y-3=-\cfrac{1}{3}x-\cfrac{1}{3}\implies y=-\cfrac{1}{3}x-\cfrac{1}{3}+3\implies y=-\cfrac{1}{3}x+\cfrac{8}{3}

5 0
2 years ago
A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this
Westkost [7]

Answer:

Expectation=240

standard deviation=3.098

Step-by-step explanation:

This is a binomial probability function with n=250 and probability of success is 96%

-The expected value is calculated as:

E(X)=np\\\\=250\times 0.96\\\\=240

Hence, the expected germination is 240 seeds

b. From a above, we have the value of p=0.96 and n=250.

The standard deviation of germination is therefore calculated using the formula:

\sigma=\sqrt{np(1-p)}, \ \ \ \\\\=\sqrt{250\times 0.96(1-0.96)}\\\\\\=3.098

Hence, the standard deviation of germination is 3.098

8 0
2 years ago
What is the equation of a hyperbola with a = 1 and c = 9? Assume that the transverse axis is horizontal.
rosijanka [135]
C^2-a^2=b^2 b^2=81-36=45 x^2/36-y^2/45=1?
5 0
2 years ago
Jada walks to school. The function D givers her distance from school, in meters, t minutes since she left home. Which equation t
kolbaska11 [484]

Answer:

t(5)=600.................

6 0
3 years ago
What is the value of v?
sammy [17]
Basically, this is saying that 80% of (x) = 2 so you have know what the whole would be. It would be 2.5 because 80% of 2.5 is 2. So because you are subtracting 7 from v to get 2.5, you have to add 2.5 to 7 to get v. V=9.5
5 0
3 years ago
Read 2 more answers
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