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Dafna11 [192]
2 years ago
15

A village loses 20% of their goats to the flood and 5% die from diseases. There are 8084 goats left, how many goats were their o

riginally.
Mathematics
1 answer:
bezimeni [28]2 years ago
6 0

Answer:

10779

i think some error in this question

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I) Find the first 4 terms in the expansion of
Katyanochek1 [597]

Answer:

(i)  64+192 x^2+240 x^4+160x^6

(ii) 1072

Step-by-step explanation:

<u>Part (i)</u>

Using Binomial series formula:

(2+x^2)^6=2^6+6C1 \cdot 2^{6-1}\cdot x^2+6C2 \cdot 2^{6-2}\cdot(x^2)^2+6C3 \cdot 2^{6-3}\cdot(x^2)^3

              =64+6 \cdot 32\cdot x^2+15 \cdot 16\cdot x^4+20 \cdot 8 \cdot x^6

              =64+192 x^2+240 x^4+160x^6

<u>Part (ii)</u>

<u />(1-\frac{3}{x^2})^2=(1-\frac{3}{x^2})(1-\frac{3}{x^2})

               =1-\dfrac{6}{x^2}+\dfrac{9}{x^4}

(2+x^2)^6(1-\frac{3}{x^2})^2=(64+192 x^2+240 x^4+160x^6)\left(1-\dfrac{6}{x^2}+\dfrac{9}{x^4} \right)

=64-\dfrac{384}{x^2}+\dfrac{576}{x^4}+192x^2-1152+\dfrac{1728}{x^2}+240x^4-1440x^2+2160+...

There is no need to keep expanding since the remaining will include the variable.

Therefore, the term independent of x = 64 - 1152 + 2160 = 1072

6 0
2 years ago
A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip. For how many hours did the trucker travel?
nexus9112 [7]
Divide 583.2 by 48.6 to get your answer, 12 hours.
5 0
3 years ago
Read 2 more answers
Geometry Please Help (will mark brainliest)
SOVA2 [1]

The answer is 14 because you have to substitute every answer with x and find which one both are equal to each other because both sides of the triangle are equal it is an equilateral triangle so the angles need to be congruent.


7 0
3 years ago
Read 2 more answers
4 questions last ones thxxx
iren [92.7K]

Answer:

(For the first two questions I do believe that you will need a protractor to calculate the angles.)

15) -(\frac{7\pi }{18} )\\ measures out to -70° in order to display that the angle would be in quadrant IV (the bottom right quadrant.)

The first image attached shows where the angle should be located.

16) \frac{\pi }{3} is equal to 60° (the line you draw will be in quadrant 1 (the top right quadrant))

17) 350° is \frac{35\pi }{18} or 6.11 (the answer depends on the format the professor wants.)

18) 240° is -(\frac{4\pi }{3}) radians or -4.19 (I am rounding to the nearest hundredths place the unsimplified answer is −4.18879020...)

6 0
2 years ago
Anyone could help with the answer?
tatuchka [14]

Step-by-step explanation:

sorry but i need points Thank you

7 0
3 years ago
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