Please take a look at the picture

The explicit formula for calculating the sum is

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

The sum of the nth term of a sequence is expressed as;

[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]

a is the first term

d is the common difference

n is the number of terms

For the sequence  0 + 1 + 2 + 3  +...

[tex]S_n=\frac{n}{2}(2(0)+(n-1)1)\\S_n= \frac{n}{2}(n-1)\\S_n= \frac{n(n-1)}{2}[/tex]

Similarly for the sequence:

1 + 2+ 3 + 4+...

[tex]S_n=\frac{n}{2}(2(1)+(n-1)1)\\S_n= \frac{n}{2}(2+n-1)\\S_n= \frac{n(n+1)}{2}[/tex]

Taking the product of the sum to get the explicit formula for calculating the sum

[tex]S_N=\frac{n(n-1)}{2} \cdot\frac{n(n+1)}{2}[/tex]

Learn more here: https://brainly.com/question/24547297

Answer:

7/3

Step-by-step explanation:

integral of equation is x^3/3-6x^2/2+5x/1

the answer will be

7^3/3-3*7^2+5*7-0= 343/3-147+35= 7/3

Answer:

10.5? sorry if it doesnt work

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

..

Step-by-step explanation:

Gomenosai

Answer:

I think its x = 8

Step-by-step explanation:

There are 8 white long rectangles so I would think x = 8

but there are 9 little white squares so it could be 8 + 9  but

Answer:

x= 6/7

Step-by-step explanation:

becuase 7x -3x -2 + 1 = 8-3-3x + x

is simplified to 5x  -1 = 5-2x

+2 on both sides

7x-1 =5

+ 1 on both sides

7x=6

divde both by 7

x= 6/7

Answer:

what's the question?

Step-by-step explanation:

I'd love to help but i don't see a question...

Answer:

5x12=60,+6=66

Step-by-step explanation:

Answer:

66 months

Step-by-step explanation:

12months x 5= 60

60 + 6= 66

Answer:

m <5=91 is the correct response to this question

Answer:

way too long

Step-by-step explanation:

jk, 3 hours and 55 minutes

Answer:

Please double check the question

y = 2√2 is not on the unit circle

The exact measure of the angle is 45°. If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2,

A Unit circle is defined as a circle having a radius of 1 unit and having its center at the origin.

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

[tex]1=\sqrt{(\dfrac{\sqrt{2}}{2})^2+y^2}[/tex]

[tex]1^2=\dfrac{2}{4}+y^2[/tex]

[tex]1-\dfrac{1}{2}=y^2[/tex]

[tex]Y=\dfrac{1}{\sqrt{2}}[/tex]

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

brainly.com/question/17972372

if there is any doubt leave a comment

This can be simplified to 2x-y = 2

Solving for y leads to y = 2x-2

========================================================

Explanation:

Anything perpendicular to Ax+By = C is of the form Bx-Ay = D

The given equation 2x+4y = 14 tells us that A = 2, B = 4, C = 14.

So Bx-Ay = D updates to 4x-2y = D.

We'll plug in the coordinates of the given point (x,y) = (4,6) to solve for D.

4x-2y = D

D = 4x-2y

D = 4(4)-2(6)

D = 16-12

D = 4

So 4x-2y = D updates to 4x-2y = 4

Optionally, we can divide each term by 2 to go from 4x-2y = 4 to 2x-y = 2

If we wanted to solve for y, then we'd get y = 2x-2

Answer:

Slope (m) = 0

Step-by-step explanation:

We will use this formula to find the slope⤵⤵⤵

[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]

(Sorry if it's a bit small btw)

Now we plug in the values accordingly:

-3 - (-3) = -3 + 3 = 0

-19 - (-9) = -19 + 9 = -10

Slope = 0/-10

So we have 0/-10, which means our slope is actually just 0.

(This also means that the line on the graph will be horizontal.)

Hope this helps you :)

Answer:

Y=7x+3

Step-by-step explanation:

Answer:

y=2x +5

Step-by-step explanation:

so 2 goes in the first blank and 5 goes in the second

Hope this helps!❆

Answer:

A

Step-by-step explanation:

companies can squeeze workers more than normal

Let's check one by one

#1

[tex]\\ \tt\longmapsto -1.5(3n+2)=-4.5n-3[/tex]

#2

[tex]\\ \tt\longmapsto -3(1.5n-1)=-4.5n+3[/tex]

#3

[tex]\\ \tt\longmapsto -3(1.5n+1)=-4.5n-3[/tex]

#4

[tex]\\ \tt\longmapsto -1.5(-3n+2)=4.5n-3[/tex]

Answer:

0% is none of the leaves and 100% is collecting all of them

Answer: 28 adults

Step-by-step explanation: 1 3/4 tons is 3500 pounds which I divided by 124 pounds which gave me the answer 28

Answer:

its x-5 and 4x-5-3x

Step-by-step explanation:

I took the test

Answer:

3/10

Step-by-step explanation:

Find a common denominator for both fractions.

4/5 - 1/2 = 8/10 - 5/10

Answer:

10.8mg to ml

Step-by-step explanation:

If you want to convert mg to ml of water you use

1ml=1000mg,then convert the units

1ml=1000mg, then what is the ml of 10.8mg? by using crisscross, let unknown value is B

= 1ml=1000mg

B=10.8mg

=1ml*10.8mg

1000mg

Answer:

w=6

Step-by-step explanation:  you should just look it up on line

Answer:

The correct answer is 1 43/60

Step-by-step explanation:

you convert 2.05 to a fraction and get 2 23/60 - (-1/3)  = 1 43/60

i also took the test

Answer:

Solution

verified

Verified by Toppr

f,g:R→R is defined as

f(x)=x+1

g(x)=2x−3

Now, (f+g)(x)=f(x)+g(x)=(x+1)+(2x−3)=3x−2

∴(f+g)(x)=3x−2

Now, (f−g)(x)=f(x)−g(x)=(x+1)−(2x−3)=x+1−2x+3=−x+4

∴(f−g)(x)=−x+4

(

g

f

)(x)=

g(x)

f(x)

,g(x)



=0,x∈R

∴(

g

f

)(x)=

2x−3

x+1

,2x−3



=0 or 2x



=3

∴(

g

f

)(x)=

2x−3

x+1

,x



=

2

3

Answer:

48

I hope it helps.

Answer:

h + 10 > - 9.5 is the correct answer