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Sedaia [141]
3 years ago
10

If n is a positive even number, then the product of (-12)ⁿ will be what

Mathematics
1 answer:
kipiarov [429]3 years ago
3 0

Answer:

a positive even number.

Step-by-step explanation:

I suggest plugging in random positive even numbers and finding a pattern. (-12)^2 = 144. (-12)^ 4= 20,736. this is because two negatives, when multiplied, turn to a positive. the n is how many times negative 12 is multiplied with itself

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5 2/3 divided by 3/2
Zinaida [17]

Answer: 34/9

Step-by-step explanation:

5  2/3  /   3/2

= 17/3  /   3/2

=17/3 x 2/3        [reciprocal]

=34/9

Hope it helped u,

pls mark as the brainliest

^_^

7 0
3 years ago
Read 2 more answers
8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4
MA_775_DIABLO [31]

Hello,

If center is (0,0)

x²/a²+y²/b²=1 for a half horizontal axis of a, and a half vertical axis of b

Here

a=2 ==> a²=4

b=8 ==> b²=64

\boxed{\dfrac{x^2}{4}+ \dfrac{y^2}{64}=1}\\

3 0
2 years ago
Find each quotient. Write in simplest form. keep answer as fraction - not decimal
kirill [66]

So we are given the expression:

\frac{mn^{2}}{4} ÷ \frac{m^{2}n}{8}

When we divide fractions, we must flip the second term and change the sign to multiplication:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}

And then we multiply across:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}

Then we can break apart all of the like variables for simplification:

\frac{8mn^{2}}{4m^{2}n}=\frac{8}{4} * \frac{m}{m^{2}} *\frac{n^{2}}{n}

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

\frac{8}{4} =2

\frac{m}{m^{2}}=m^{-1} =\frac{1}{m}

\frac{n^{2}}{n}=n^{1}=\frac{n}{1}

So then we multiply all of these simplified parts together:

\frac{2}{1}*\frac{1}{m}*\frac{n}{1}   =\frac{2n}{m}

So now we know that the simplified form of the initial expression is: \frac{2n}{m}.

3 0
2 years ago
PLEASE HELP 60 POINTS!!!!!!Sal’s Sandwich Shop sells wraps and sandwiches as part of its lunch specials.
Zanzabum

2x + 3y = 1,470

To solve using the slope intercept method, we need to solve for y.

First, subtract 2x from each side.

3y = -2x +1470

The, we need to divide both sides of the equation by by 3 to solve for y

y = -2/3 x + 490.


We know the y intercept is 470, which means on the y axis we place at point at positive 490.  The slope is -2/3.  We go down 2 units and over to the right 3 units and place a point.  We draw a line connecting these two points extending only to the right until it reaches the x axis. We cannot have negative x because we cannot sell negative lunch specials.  We cannot have negative y, because y is the number of specials sold.

8 0
3 years ago
A bag has 4 yellow, 6 red, 2 green, and 8 purple marbles. What is the probability of picking a purple marble, not replacing it,
Dominik [7]

Answer:

The probability of picking two consecutive purple marbles without replacement is 14.72%.

Step-by-step explanation:

Initially, there are 4+6+2+8 = 20 total marbles.

The probability of picking a purble marble is

P_{1} = \frac{number of purple marbles}{number of total marbles}

P_{1}= \frac{8}{20} = 0.4

Since there are no replacements, there are now 19 total marbles, 7 of which are purple. So, the probability of picking another purple marble is

P_{2} = \frac{7}{19} = 0.368

The probability P of picking a purble marble(P_{1}), not replacing it, and then picking another purple marble(P_{2}) is:

P = P_{1}*P_{2} = 0.4*0.368  = 0.1472 = 14.72%

8 0
3 years ago
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