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Nesterboy
4 days ago
7

How many different 4-letter permutations can be formed from the letters in the word decagon?

Mathematics
1 answer:
zzz [11.8K]4 days ago
3 0
28 might be an answer
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Which are the solutions of x2 = –5x + 8? StartFraction negative 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFract
tester [11942]

Answer:

x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}

Detailed solution:

Given:

The problem to solve is:

x^2=-5x+8

Convert the equation into the standard quadratic form ax^2+bx +c =0, where a,\ b,\ and\ c represent constants.

So, by adding 5x-8 to both sides, we get:

x^2+5x-8=0

Note that a=1,b=5,c=-8.

The roots of this quadratic are found by applying the quadratic formula given as:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=1,b=5,c=-8 into the formula and calculate for x.

x=\frac{-5\pm \sqrt{5^2-4(1)(-8)}}{2(1)}\\x=\frac{-5\pm \sqrt{25+32}}{2}\\x=\frac{-5\pm \sqrt{57}}{2}\\\\\\\therefore x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}

Hence, the roots are:

x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}

4 0
1 month ago
Read 2 more answers
A cone-shaped water cup has a height of 3.3 inches and a diameter of 2.7 inches. One fluid ounce is equivalent to 1.8 cubic inch
lawyer [12140]
The capacity is approximately 3.5 fluid ounces. In order to determine this, we need to compute the volume of a cone-shaped cup. The formula for the volume of a cone is: 1/3 * π * r^2 * h, where r equals the diameter divided by 2, which gives 1.35 inches, and h equals 3.3 inches. After substituting these values, we find the volume to be V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inches. To convert cubic inches to fluid ounces, we use the relationship that 1 fluid ounce is equal to 1.8 cubic inches. Therefore, x fluid ounces equal to 6.3 cubic inches leads to x = 6.3 / 1.8, which results in 3.5 fluid ounces.
8 0
26 days ago
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Which expression can be used to convert 100 USD to Japanese yen
lawyer [12140]
As of 12:04 EST in the U.S.

$1=<span>112.624847 Yen

Thus:

100USD(112.624847Y/1USD)=11262.62 Yen</span>
8 0
1 month ago
Read 2 more answers
A balance scale was in perfect balance when Jane placed a box of candy on one pane of the balance and 3/4 of the same sized cand
AnnZ [11958]

Answer:

Step-by-step explanation:

I'm fairly certain that addition is needed here.

When we combine two fractions like 3/4 + 3/4, we ensure that the denominators (the bottom parts) are identical before simply adding the numerators (the top parts).

In this case, the denominators match, so we straightforwardly combine 3+3 to get 6/4. The denominator remains the same.

               answer:

                      3/4 + 3/4    =   6/4

Hope this helps!

5 0
1 month ago
Emily and a friend bought two tickets to see a soccer game. Each ticket cost $8.25. The friends paid a total of $24.50, which in
Leona [12162]
2\cdot8.25=16.5\\\\24.5-16.5=8\\\\8:2=4\\\\\frac{4}{8.25}\cdot100\%=\\\\\frac{400}{8.25}\%=\\\\48.48\%
6 0
14 days ago
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