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wel
3 years ago
6

S=n/2(2a+(n-1)d). If d=5, n=13, S=585 find the value of a.​

Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Answer:

15

Step-by-step explanation:

Sum of 'n' terms formula is given by:-    

s=n/2(2a+(n-1)d)  

s=13/2[2xa+(13-1)5]    

s=13/2(2xa+12x5)    

s=13/2(2a+60)    

585=13/2(2a+60)    

585 x (2/13) = 2a + 60

90 = 2a + 60  

90-60 = 2a

30 = 2a

a = 15

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(4x3 + 3x2 - 30x - 10) ÷ (x -3)
pogonyaev
(12x+6x-30x-10)/(x-3)=
=(-12x-10)/(x-3)
=-12x*+36- 10x+30=
=-22x+56
5 0
2 years ago
Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq
Alex

Answer:

D =\frac{P}{\pi X^2}

And solving for the radius we got:

X = \sqrt{\frac{P}{\pi D}}

And replacing the data given we got:

X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km

And this value converted to meters is X = 87.40 m

Step-by-step explanation:

For this case we know the population size P = 20000 and we also know the population density D = 480 \frac{people}{km^2}

We can assume that the area is a circle. We also know that the formula for the population density is given by:

D= \frac{P}{A}

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

A = \pi X^2

With X the radius of the circle

And then the populationd density become:

D =\frac{P}{\pi X^2}

And solving for the radius we got:

X = \sqrt{\frac{P}{\pi D}}

And replacing the data given we got:

X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km

And this value converted to meters is X = 87.40 m

6 0
3 years ago
Transformations<br>I need help on this worksheet please.
Neporo4naja [7]

Answer:

Step-by-step explanation:

Question 2

As far as I can see, you got it right. The general transformation for 90 ccw is

(x,y) ===> (-y, x)

What that means is for the x you put in -y changing the sign to the opposite and for the y you put in x and this time you leave the sign alone . The transformation is shown in the left hand diagram.

The two tables are shown below.

Original

  • (1,4)
  • (1,2)
  • (3,2)
  • (3,5)

The transformed table is

  • (-4,1)
  • (-2,1)
  • (-2,3)
  • (-5,3)
  • (-4,1)    This is just to let the program know to close the figure For some reason this did not have lines and if I delete it and put the lines in, I won't be able to upload the new diagram.

===========

Four

This one transforms from (x,y) to (-x,-y) which means where you see an x, you put a - x and where you see a y, you put a minus y. It is the middle frame.

Original

  • (-4,3)
  • (0,3)
  • (-2,0)
  • (-4,3)  Here again, this is just to close the figure.

The transformed figure in red I think is

  • (4,-3)
  • (0,-3
  • (2,0)
  • (4,-3) And this closes the figure as well.

==========

Six

The diagram is on the right

Reflection about the y axis. Here the transformation is (x,y) ====> (-x,y) notice the ys don't change.

  • (-3,0)
  • (-5,-2)
  • (-1,-2)

There is no closure.

Reflection

  • (3,0)
  • (5,-2)
  • (1,-2)

4 0
2 years ago
Find f(4) for the function below. <br><br> f(x) = |x-7| + 3
Anastaziya [24]

Step-by-step explanation:

f(x) = |x-7| + 3

when x is equal to 4, then

f(4) = |4-7| + 3

=-3+3

=0

6 0
2 years ago
Read 2 more answers
Please help me need ASAP
Anton [14]

Answer:

The answer is either (3) or (4) because drawing a line of best fit and finding its gradient is going to give you a negative answer

3 0
2 years ago
Read 2 more answers
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