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wlad13 [49]
3 years ago
13

A ternary digit is either 0, 1, or 2. how many sequences of eight ternary digits containing a single 2 and a single 1 are possib

le?
Mathematics
1 answer:
PIT_PIT [208]3 years ago
8 0

Answer:

56

Step-by-step explanation:

If there can be only one 1 and only one 2, the remaining digits must all be 0. The digits 1 and 2 can be anywhere in the 8 digits, and can be in either order.

There are 8 possible locations in the sequence for the 1, then 7 possible locations for the 2. The total number of possibilities is 8·7 = 56.

12000000, 21000000, 10200000, 20100000, ..., 00000012, 00000021.

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A 250-kVA, three-phase, 480-volt transformer requires 75 gallons of insulating oil to keep it properly cooled. How many liters i
Dennis_Churaev [7]

This problem can be directly solved by using a conversion factor. Simple research will tell us that 1 gallon contains about 3.78 Liter. Therefore the volume in Liter is:

volume = 75 gallons * (3.78 Liter / gallon)

<span>volume = 283.5 Liters</span>

7 0
3 years ago
Write the rule for finding a point translated vertically k units up. 2. Use this rule to find the coordinates for (−3, −6) when
Alex17521 [72]

Answer:

Rule is (x, y+k)

New point is (-3,9)

Step-by-step explanation:

A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units

This can be represented mathematically as;

Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under  a vertical translation k units up you add k to the y coordinate value.

Given ;

A=(\frac{x}{y} )\\\\T=(0,k)\\\\A'=(\frac{x}{y} )+(\frac{0}{k} )=(\frac{0+x}{y+k} )\\\\A'=\frac{x}{y+k} =(x,y+k)

where T is the translation

In the question

Given (-3,-6) and T is (0,5) the new coordinate will be

=(\frac{-3}{4}) +(\frac{0}{5} )=\frac{-3}{9} =(-3,9)

8 0
3 years ago
a test has 25 questions and is worth a total of 100 points. it consists of multiple choice that are worth 8 points each and shor
soldier1979 [14.2K]

Answer:

5

Step-by-step explanation:

8*5=40  and then 20 short answer that are 3 each. that makes up the rest of the 60 points

3 0
3 years ago
Read 2 more answers
Use the quadratic formula to solve. Round to the nearest tenth if necessary.<br> 2x^2 -3x -7 = 0
abruzzese [7]

The quadratic formula is:

\frac{-b + \sqrt{b^2 - 4ac} }{2a} and  \frac{-b - \sqrt{b^2 - 4ac} }{2a}

In this case, a = 2, b = -3, and c = -7

So, we can plug in the numbers to get:

  \frac{-(-3) + \sqrt{(-3)^2 - 4(2)(-7)} }{2(2)} and    \frac{-(-3) - \sqrt{(-3)^2 - 4(2)(-7)} }{2(2)}

Simplifying, we get:

    \frac{3 + \sqrt{65} }{4} and   \frac{3 - \sqrt{65} }{4}

You need to use a calculator to find what these would be in decimal form. The answer, rounded to the nearest tenth, is: x = 2.8, x = -1.3

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3 years ago
I need help finding the equation of the line. Could someone please help me? Thanks.
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