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3 years ago

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Find the sum of the first 20terms of this arithmetic progression: 2,5,8,11,.......

1 answer:

postnew [5]3 years ago

8 0

Y = -1 + 3x... y1= 2, y2=5... so the 20th term will be 59. There will be ten pairs (i.e 2,59 equal 61... 5,56 equal 61) so multiply this 61 by 10 and your sum will be 610

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Select True or false for each statement

PilotLPTM [1.2K]

Answer:

False

True

False

False

Step-by-step explanation:

1. We have to get the sum as follows :

$3\frac{4}{9} + 4\frac{6}{9}$

= $\frac{31}{9} + \frac{42}{9}$

= $\frac{31 + 42}{9}$

= $\frac{73}{9}$

= $8\frac{1}{9} \neq 7\frac{1}{9}$

So, this is false.

2. We have to get the sum as follows :

$4\frac{5}{6} + 1\frac{3}{6}$

= $\frac{29}{6} + \frac{9}{6}$

= $\frac{29 + 9}{6}$

= $\frac{38}{6}$

= $6\frac{2}{6}$

So, this is true.

3. We have to get the difference as follows :

$4\frac{5}{8} - 2\frac{4}{8}$

= $\frac{37}{8} - \frac{20}{8}$

= $\frac{37 - 20}{8}$

= $\frac{17}{8}$

= $2\frac{1}{8} \neq 2\frac{3}{8}$

So, this is false.

4. We have to get the difference as follows :

$7\frac{5}{8} - 4\frac{2}{8}$

= $\frac{61}{8} - \frac{34}{8}$

= $\frac{61 - 34}{8}$

= $\frac{27}{8}$

= $3\frac{3}{8} \neq 3$

So, this is also false. (Answer)

5 0

3 years ago

If x varies directly with y and x = 3.5 when y = 14, find x when y = 18.

maks197457 [2]

Answer:

x = 4.5

Step-by-step explanation:

there's definitely other ways to solve this, but I used a proportion.

$\frac{3.5}{x} = \frac{14}{18}$

Then you can make this equation:

14x = 3.5 * 18

I solved for it and got 4.5 .

5 0

3 years ago

Please help.<br> Is algebra.<br> PLEASE HELP NO LINKS OR FILES.<br> I don't want links.

alexandr1967 [171]

9514 1404 393

Answer:

9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

$\dfrac{18n^6+27n^5-36n^4}{2n^2+3n-4}=\boxed{\text{Blank 1}}$

Such division is carried out by first finding the quotient of the highest-degree terms:

$\dfrac{18n^6}{2n^2}=\dfrac{18}{2}n^{6-2}=9n^4$

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

9n^4

_____

The attachment shows the long division.

7 0

3 years ago

e) Isabel’s competition,who sells books and no other products, charges a shipping fee of $1.99 per book plus a fixed fee of $3 f

inessss [21]

Answer:

It will equal 0

7 0

3 years ago

What are the zeros of the function? what are their multiplicities?<br> f(x)=x^4-4x^3+3x^2

-Dominant- [34]

Since each term contains x, x= 0 is one answer Also as x^2 is a factor it has duplicity 2.
Factoring:-

x^2 (x^2 - 4x + 3) = 0
x^2( x - 3)(x - 1) = 0

so x = 3 and x = 1 are also zeros

Answer:- x = 0 (duplicity 2), x = 1 and x = 3.

4 0

3 years ago