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cluponka [151]
3 years ago
15

Write the equation that represents the line use exact numbers

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0
There’s no equation shown
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Find the average velocity of the function over the given interval.
snow_lady [41]

Answer:

Average velocity of the function over the given interval

              =  log(\frac{7}{4} ) -2

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given function y = 3/x -2 ...(i)

The average velocity of the function over the given interval

             Average velocity  = \frac{1}{b-a} \int\limits^b_a {(\frac{3}{x} -2)} \, dx

                               =    \frac{1}{7-4} \int\limits^7_4 {(\frac{3}{x} -2)} \, dx

now integrating

                           =   \frac{1}{3}( \int\limits^7_4 {(\frac{3}{x} )} \, dx-2\int\limits^7_4 {1} \, dx )

                           = \frac{1}{3} (3 (log x) - 2 x )_{4} ^{7}

                        =   \frac{1}{3}( (3 (log 7) - 14 )-(3 log 4 -8))

by using formulas

                 log a-log b = log(a/b)

  on simplification , we get                  

                 = \frac{1}{3}( (3 (log 7) -3 log 4 ) - \frac{1}{3} (6)

                = log(\frac{7}{4} ) -2

Average velocity of the function over the given interval

              =  log(\frac{7}{4} ) -2

 

 

6 0
3 years ago
Barry got a samll sandwich for lunch and ate 1/2 of his sandwich. Jonah got a large sandwich and ate 1/2 of his sandwich. Did Jo
xeze [42]
No, they did not eat the same amount. Barry ate less because his sandwich was smaller, so there would be a smaller half. Jonah ate more because his sandwich was bigger, so he would have eaten a bigger half.
8 0
4 years ago
69.6% of all full-time law enforcement officers are sworn officers, and of those, 88.2% were males. Females, however, make up 60
Evgen [1.6K]

Answer:

The probability that he or she is a male or a civilian employee is 1.037068

Step-by-step explanation:

Probability of sworn officers = 0.696

Probability of civilians = 1 - 0.696 = 0.304

Probability of male sworn officers = 0.882*0.696 = 0.6139

Probability of male civilian = (0.304*(1-0.608)) = 0.1192

Hence probability that he or she is a male or civilian employee is

0.6139 + 0.1192 + 0.304 = 1.037068

7 0
3 years ago
Read 2 more answers
What does a equal? (This assignment is past due so please help me)
LUCKY_DIMON [66]
I think it mean dog in Spanish
4 0
3 years ago
Read 2 more answers
£864.00 to be accrued<br> after £800 is invested with<br> 2% pa simple interest.
Vsevolod [243]

Answer: 4 years

Step-by-step explanation:

Your question isn't complete but I believe that you want to calculate the number of years. This will be:

Simple Interest = PRT/100

where,

Interest = 864 - 800 = 64

Principal = 800

Rate = 2%

Therefore, 64 = 800 × 2 × T /100

Cross multiply

64 × 100 = 1600T

6400 = 1600T

T = 6400/1600

T = 4

Therefore, time will be 4 years

6 0
3 years ago
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