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Shalnov [3]
3 years ago
14

Thomas hiked 6 miles in Monday, 10 Thomamiles on Tuesday and 8 miles on Wednesday. Which value is closest to the mean number of

miles he hiked over three day period
Mathematics
1 answer:
Korolek [52]3 years ago
7 0
I think the answer is 7
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The sum of two rational numbers is -2. If one of the numbers is -14/5, find the other.
Marat540 [252]

Answer:

\frac{4}{5}

Step-by-step explanation:

\frac{ - 14}{5}  + x =  - 2 \\ x =  - 2 +  \frac{14}{5 }  \\ x =  \frac{ - 10 + 14}{5}  \\ \: x =  \frac{4}{5}  \\ therefore \: the \: other \: number \: is \:  \frac{4}{5}

7 0
2 years ago
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What is 3 and 2/3 times 5 and 1/7 what does it equal
Naya [18.7K]
18 6/7<em /> is the awnser
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3 years ago
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Consider the initial value function y given by
Nuetrik [128]

Answer:

y(s) = \frac{5s-53}{s^{2} - 10s  + 26}

we will compare the denominator to the form (s-a)^{2} +\beta ^{2}

s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}

comparing coefficients of terms in s

s^{2} : 1

s: -2a = -10

      a = -2/-10

      a = 1/5

constant: a^{2}+\beta ^{2} = 26

               (\frac{1}{5} )^{2} + \beta ^{2} = 26\\\\\beta^{2} = 26 - \frac{1}{10} \\\\\beta =\sqrt{26 - \frac{1}{10}} =5.09

hence the first answers are:

a = 1/5 = 0.2

β = 5.09

Given that y(s) = A(s-a)+B((s-a)^{2} +\beta ^{2} )

we insert the values of a and β

  \\5s-53 = A(s-0.2)+B((s-0.2)^{2} + 5.09^{2} )

to obtain the constants A and B we equate the numerators and we substituting s = 0.2 on both side to eliminate A

5(0.2)-53 = A(0.2-0.2) + B((0.2-0.2)²+5.09²)

-52 = B(26)

B = -52/26 = -2

to get A lets substitute s=0.4

5(0.4)-53 = A(0.4-0.2) + (-2)((0.4 - 0.2)²+5.09²)

-51 = 0.2A - 52.08

0.2A = -51 + 52.08

A = -1.08/0.2 = 5.4

<em>the constants are</em>

<em>a = 0.2</em>

<em>β = 5.09</em>

<em>A  = 5.4</em>

<em>B = -2</em>

<em></em>

Step-by-step explanation:

  1. since the denominator has a complex root we compare with the standard form s^{2} -10s+26 = (s-a)^{2} +\beta ^{2} = s^{2} -2as +a^{2} +\beta ^{2}
  2. Expand and compare coefficients to obtain the values of a and <em>β </em>as shown above
  3. substitute the values gotten into the function
  4. Now assume any value for 's' but the assumption should be guided to eliminate an unknown, just as we've use s=0.2 above to eliminate A
  5. after obtaining the first constant, substitute the value back into the function and obtain the second just as we've shown clearly above

Thanks...

3 0
2 years ago
(05.05 HC) Figure ABCD has vertices A(-3, 2), B(2, 2), C(2, -4), and D(-3, -2). What is the area of Figure ABCD?​
irga5000 [103]

Answer:

I don't know how to answer this, sorry!

Step-by-step explanation:

.

6 0
1 year ago
What is the Greatest Common Factor of x4 and x3? (1 point)
denis-greek [22]
The greatest common factor of both x^4 and x^3 would be x^3, since the largest number of X variables that you can evenly take out between both terms is x^3 or x cubed.
4 0
3 years ago
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