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2 years ago

Find the sum of the following without actually adding: 1+3+5+7+9+11+13+15

Mathematics

2 answers:

-Dominant- [34]2 years ago

7 0

Answer:

Step-by-step explanation:

The following numbers are successive odd numbers.

The sum of successive odd numbers (starting from 1) is always the square of number of terms you are adding.

Hear there are 8 terms. Square of 8 is 64.

Hence the sum of this numbers is<u> 64</u>.

I am Lyosha [343]2 years ago

6 0

use this formula Sn=n/2[2a+(n-1)d]

here,d=a2-a1 and n= no. Of terms

Step-by-step explanation:

S8=8/2[2(1)+(8-1)2]

S8=64

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6 and 2/3 divided by 1/5 pls help

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A family pays $45 each month for cable television. the cost increases 7%.a. how many dollars is the increase?the increase is $.b

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2 years ago

Given n//p m<2=50 degrees what is m<7?

Bogdan [553]

Answer: m∠7=130°

Step-by-step explanation:

If two parallel lines are cut by another line (transversal), each one will have four angles surrounding the intersection.

By definition, the adjacent angles of each parallel line, are supplementary, this means that they add up 180°.

Then, if m∠2=50°, then m∠3 is:

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2 years ago

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Tanya [424]

Answer:

$2.50$

Step-by-step explanation:

Given

$(x_1,y_1) = (-1,0.8)$

$(x_2,y_2) = (0,2)$

$(x_3,y_3) = (1,5)$

$(x_4,y_4) = (2,12.5)$

Required

The rate of change (b)

The above graph is represented as:

$y = ab^x$

For: $(x_2,y_2) = (0,2)$ ;

We have:

$y = ab^x$

$2 = a * b^0$

$2 = a *1$

$2 = a$

$a = 2$

For $(x_3,y_3) = (1,5)$ ,

We have:

$y = ab^x$

$5 = a * b^1$

$5 = a * b$

Substitute $a = 2$

$5 = 2 * b$

Divide by 2

$2.5 = b$

$b = 2.5$

<em>Hence, the rate of change is 2.50</em>

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2 years ago

How do i solve 1/4 +1/3

mojhsa [17]

Answer:

$\large\boxed{\dfrac{1}{4}+\dfrac{1}{3}=\dfrac{7}{12}}$

Step-by-step explanation:

$\dfrac{1}{4}+\dfrac{1}{3}\qquad\text{find}\ LCD=(4)(3)=12\\\\=\dfrac{1\cdot3}{4\cdot3}+\dfrac{1\cdot4}{3\cdot4}=\dfrac{3}{12}+\dfrac{4}{12}=\dfrac{3+4}{12}=\dfrac{7}{12}$

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2 years ago

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