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Oksanka [162]
3 years ago
14

Type the correct answer in the Box use numerals instead of words if necessary use / for the fraction bar find the missing term

Mathematics
2 answers:
Valentin [98]3 years ago
8 0
The roots of the given equation are 5 + 3i, 5 - 3i.

This means the two factors of the given polynomial are x - (5+3i) and x - (5 - 3i). The product of the factors must result in the original expression. So, we can write:

x² - (answer) + 34 = (x - 5 -3i)(x - 5 + 3i)           (Equation 1)

Simplifying the right hand side:

(x - 5 -3i)(x - 5 + 3i) \\ \\ = x^{2} -5x+3xi-5x+25-15i-3xi+15i-9i^{2} \\ \\ = x^{2} -10x+25-9i^{2} \\ \\ = x^{2} -10x+25-9(-1) \\ \\ = x^{2} -10x+25+9 \\ \\ = x^{2} -10x+34

Thus, we can write the Equation 1 as:

x² - (answer) + 34  = x² - 10x + 34 

Comparing the two sides, we can conclude that the answer to this question is 10x.
Dvinal [7]3 years ago
6 0

Answer:

Type the correct answer in the box. Use numerals instead of words.

Find the area of this shape.

The area of the shape is  

35

square centimeters.

Step-by-step explanation:

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What number is39% of 120
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Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

8 0
1 year ago
A theater group surveyed 146 audience members after a show and found that 132 of them wanted to see the show again. Find the sta
Sophie [7]

Answer:

0.024

Step-by-step explanation:

Sample size (n) = 146 people

The proportion (p) of people who answered that they would be interested in seeing the show again is:

p=\frac{132}{146}\\ p=0.9041

The standard error for a sample of size 'n' and proportion 'p' is:

SE = \sqrt{\frac{p*(1-p)}{n}}\\SE = \sqrt{\frac{0.9041*(1-0.9041)}{146}}\\ SE=0.024

The standard error for the sample proportion of audience members who want to see the show again is 0.024.

4 0
3 years ago
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