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3 years ago

Find the sum of the series.

Mathematics

2 answers:

ch4aika [34]3 years ago

6 0

Answer:

as per my point to view you can use a L.C.M so you can get the answer or you can try using a exponent way like 5by 1 as n value is 1 so it may give yoh answer

valentina_108 [34]3 years ago

5 0

Answer:

1/12

Step-by-step explanation:

firstly the answer will not be -,because 5^(-n)>7^(-n)

then we try the value for first 2:(2/35)+(24/1225)=94/1225

then we can know for n=<3 the value outcome is too small

and 12×94/1225=1128/1225 and the value is nearly 1/12 and that is the answer.

or need limits to do

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3 years ago

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Solve 6 2/3 -1 1/2+4 1/6

Tju [1.3M]

Answer:

9 1/3

Step-by-step explanation:

Make 2/3 , 1/2 , & 1/6 have the same denominator. 6 is the least common multiple for all 3 fractions.

2/3 gets multiplied by 2/2

1/2 gets multiplied by 3/3

1/6 stays the same

2/3 becomes 4/6

1/2 becomes 3/6

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Follow the order of operations from the original equation.

4/6 - 3/6 = 1/6 then 1/6 + 1/6 = 2/6

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3 years ago

Which of the following reasons can be used to justify statement #4 in the proof?

8_murik_8 [283]

Answer:

SSS postulate because three sides of a triangle are are congruent

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3 years ago

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The length of a rectangle is 6 more than twice the width. if the area is 40 cm^2, find the length and breadth of the rectangle

ra1l [238]

Answer: 3.217 & 12.434

Step-by-step explanation:

If we use w to represent the width, the length will be 6 more than 2 times w.

Hence, the length is $2w+6$ .

The area of a rectangle would be its length times its width, so let's make an equation to represent it's area.

$A=w(2w+6)$

We can also substitute 40 in for A as it's given in the question.

$40 = w(2w+6)$

Distributing w by multiplying it by both terms in the parentheses, we get

$40 = 2w^2+6w$

We can make the equation simpler by dividing both sides by 2.

$20 = w^2+3w$

Subtracting both sides by 20 will make the left-hand side 0.

$0=w^2+3w-20$

Now that we have put this quadratic equation into standard form (ax²+bx+c), we can find its solutions using the quadratic formula.

For reference, the quadratic formula is

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

In this case, a is 1, b is 3, and c is -20.

Substituting, we get

$w=\frac{-3\pm\sqrt{3^2-4(1)(-20)}}{2(1)}$

$w= \frac{-3\pm\sqrt{9+80}}{2}$

$w=\frac{-3+\sqrt{89}}{2}\hspace{0.1cm}or\hspace{0.1cm}\frac{-3-\sqrt{89}}{2}$

Since the second solution results in a negative number, it cannot be the length of w.

$w=\frac{-3+\sqrt{89}}{2}\approx3.217$

The width/breadth of the rectangle is 3.217 cm.

To calculate the length, let's substitute the width into the expression for the length:

$l=2(3.217)+6$

$l=12.434$

The length of this rectangle is 12.434 cm.

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2 years ago

The salary of two governing bodies in 2008 was $169.3 thousand, and has increased by approximately $4 thousand per year since th

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Answer:

Step-by-step explanation:

Find, find the total increase in salary for 7 years;

If 1 year = $4,000

7 years = ?

=7*4000

=28,000 in total

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Add the total increase in salary to the original salary;

169,300 + 28,000 = 197,300

Therefore, in 7 years, the salary would be $197,300

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3 years ago