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Dvinal [7]
3 years ago
13

How is the sum expressed in sigma notation? 11 + 17 + 23 + 29 + 35 + 41

Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:

The given sums 11+17+23+29+35+41  can be written as in sigma notation is  \sum\limits_{i=1}^{6}5+6i

Therefore 11+17+23+29+35+41=\sum\limits_{i=1}^{6}5+6i

Step-by-step explanation:

Given series is 11+17+23+29+35+41

To find the given sum expressed in sigma notation :

11+17+23+29+35+41  can be written as the given sums in sigma notation is  \sum\limits_{i=1}^{6}5+6i

That is

11+17+23+29+35+41=\sum\limits_{i=1}^{6}5+6i

Now expand the sums and to verify that whether the summation is true or not :

\sum\limits_{i=1}^{6}5+6i=(5+6(1))+(5+6(2))+(5+6(3))+(5+6(4))+(5+6(5))+(5+6(6))

=(5+6)+(5+12)+(5+18)+(5+24)+(5+30)+(5+36)

=11+17+23+29+35+41

Therefore 11+17+23+29+35+41=\sum\limits_{i=1}^{6}5+6i

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|x-4| +|y-5| = 0

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How to write 3,000,000+600,000+80,000+10 in standard form
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3 years ago
Read 2 more answers
Which figure is the image produced by applying the composition t 0,3 r 0,90 to figure R?
Maksim231197 [3]

Answer:

Option A is correct

The only figure after composition of t_{0 , 3} (r_{0,90^{\circ}}) to figure R is Figure H

Step-by-step explanation:

From the given figure in R;

The coordinates in Figure R ;

(1 , -1) , (2, -2) ,(4, -2) ( 0, -4)

Composite function defined as when one function is substituted into another function.

To Apply the composition t_{0 , 3} (r_{0,90^{\circ}}) to figure R;

First apply the Reflection r_{0, 90^{\circ}} in Figure R;

The rule of reflection is given by:

(x,y) \rightarrow (-y,x)

By applying the rule of reflection in Figure R ,

then, the coordinates becomes;

(1 , -1) \rightarrow (1, 1)

(2 , -2) \rightarrow (2, 2)

(4 , -2) \rightarrow (2, 4)

(0, -4) \rightarrow (4, 0)

Now, apply the translation t_{0,3}

Translation : It is a type of transformation that moves each point in a figure the same distance in the same direction.

then,

the rule of translation is:

(x,y) \rightarrow (x+0,y+3)

Apply the rule of translation on coordinates (1,1) , (2,2),  (2,4) and (4,0)

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(1 , 1) \rightarrow (1+0 1+3) =(1,4)

(2, 2) \rightarrow (2+0 2+3) =(2, 5)

(2, 4) \rightarrow (2+0 4+3) =(2 ,7) and

(4, 0) \rightarrow (4+0 0+3) =(4 ,3)

Then, the only figure after composition of t_{0 , 3} (r_{0,90^{\circ}}) to figure R is Figure H





7 0
4 years ago
Read 2 more answers
In 5 years, Dad will be three times as old as his daughter Jill will be then. If the sum of their present ages is 50, how old ar
Nataliya [291]
The answer is <span>b.3x + 15 = 55 - x
</span>
x - Jill's present age
y - dad's present age

<span>In 5 years, Dad will be three times as old as his daughter Jill will be then:
y + 5 = 3(x + 5)

</span><span>The sum of their present ages is 50:
x + y = 50

We have the system of two equations now:
</span>y + 5 = 3(x + 5)
x + y = 50

Let's rearrange the second equation:
If:         x + y = 50     
Then:  y = 50 - x

Now, substitute y from the second equation (y = 50 - x) into the first one:
y + 5 = 3(x + 5)
50 - x + 5 = 3(x + 5)
50 + 5 - x = 3*x + 3*5
55 - x = 3x + 15

Rearrange it a bit:
3x + 15 = 55 - x
Therefore, the correct choice is b.
5 0
3 years ago
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