Given that S=n/2(2a+(n-1)d). If a=4,d=3 and n=20 find the value of S​

Answers

Answer 1

Answer:

s=650

Step-by-step explanation:

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]

s=20/2(2x4+19x3)

s=20/2(8+57)

s=20/2x65

s=10x65

s=650

Answer 2

Answer:

s=650

Step-by-step explanation:

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

s=n/2(2a+(n-1)d)

s=20/2[2x4+(20-1)3]  

s=20/2(2x4+19x3)  

s=20/2(8+57)  

s=20/2x65  

s=10x65  

s=650


Related Questions

A chef mix his salt and pepper. If he put 2/3 cup of salt and 1/2 cup of pepper in his shaker, what is the ratio of salt to pepper ?

Answers

Answer:

4 to 3

Step-by-step explanation:

The ratio of salt to pepper is

2/3 to 1/2

Multiply both fractions by 6

6 * 2/3 to 6 * 1/2

4 to 3

Write an equation in point-slope form of the line that passes through the given point and has the given slope.
(16,-4);m=-3/4

Answers

12 square + 16 squared = c squared
144 + 256= c squared
400= c squared
C = 20

1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg

Answers

Answer:

i) around 41.7 kg

ii) 72 books

Step-by-step explanation:

i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.

ii) use the same way as above.

3 different problems.

solve b - 4 = 3.

solve -32 = 8w

solve n
— = -4
7

Answers

Answer:

see below

Step-by-step explanation:

b - 4 = 3

Add 4 to each side

b - 4+4 = 3+4

b = 7

-32 = 8w

Divide by 8

-32/8 = 8w/8

-4 = w

n/7 = -4

Multiply by 7 to each side

n/7 *7 = -4*7

n = -28

Answer:

1. b = 7

2. w = -4

3. n = -28

Step-by-step explanation:

1. b - 4 = 3

Tip: Whenever there’s a number being subtracted or added, it’s best to make that number a 0

Step 1. Add 4 to both sides

b - 4 = 3

b + 4 = +4

b = 7

—————————————
2. -32 = 8w

Step 1. Isolate the variable
(by dividing both sides by 8)

w = -32/8

w = -4

—————————————
3. n/7 = -4

Step 1. Multiply 7 x -4

n = -28

Find a 2-digit number smaller than 50, the sum of whose digits does not change after being multiplied by a number greater than 1

Answers

The only 2-digit number that is lesser than 50 and the sum of its digits remain unaffected despite being multiplied by a number < 1 would be '18.'

To prove, we will look at some situations:

If we add up the two digits of 18. We get,

[tex]1 + 8 = 9[/tex]

And we multiply 18 by 2 which is greater than 1. We get,

[tex]18[/tex] × [tex]2 = 36[/tex]

The sum remains the same i.e. [tex]3 + 6 = 9[/tex]

Similarly,

If 18 is multiplied to 3(greater than 1), the sum of the two digits comprising the number still remains the same;

[tex]18[/tex] × [tex]3 = 54[/tex]

where (5 + 4 = 9)

Once more,

Even if 18 is multiplied to 4 or 5(greater than 1), the sum of its digits will still be 9.

 [tex]18[/tex] × [tex]4 = 72[/tex]

[tex](7 + 2 = 9)[/tex]

[tex]18[/tex] × [tex]5 = 90[/tex]

[tex](9 + 0 = 9)[/tex]

Thus, 18 is the answer.

Learn more about 'numbers' here: brainly.com/question/1624562

Please help i do not understand this question!

Answers

Answer:

Distributive property

Step-by-step explanation:

The rule being shown here is the distributive property, because the first binomial is taken apart and separately multiplied with the other binomial.

Use the Diagram to find BC.

Answers

Answer:

Step-by-step explanation: you have to ask your parents for help

A net is a two-dimensional pattern that can be folded to form a three-dimensional surface. T/F

Answers

Answer:  True

Explanation:

Consider a 3D cardboard box that you can unfold. It would unfold into a 2D net that you can then re-fold back into its 3D form. The 2D net is useful to help visualize and calculate the surface area. The surface area is simply the total area of all the external faces.

The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term.

Answers

1st way:

let the n'th term be called x, and the value of the term y,

then there is a function y=a*x + b

that will give us all term we want.

this formula is also used for straight lines.

we just need a and b. we already got two data points. we can just plug the known x/y pairs into the formula

10.5 = a*12 + b

13.5 = a*18 + b

now lets manipulate these lines.

multiply the first line by 3 and the second line by 2

31.5 = a*36 + 3b

27 = a*36 + 2b

subtract the second line from the first line

4.5 = b

yey, we now know b, let's plus b into either line from above, I'll go with the first one, looks easier.

10.5 = a*12 + 4.5

6 = a*12

0.5 = a

now y=a*x + b can be filled with a and b

y = 0.5 * x + 4.5

for x=1 (the first term) it's f(1)=5

each step is 0.5, hence the common difference.

2and way:

(13.5-10.5)/(18-12)

= 3 / 6

= 0.5

we got the comment difference by looking at the full difference over 6 steps and divined by these 6 steps.

from step 12 to step one it's 11 steps down

10.5 - 0.5*11

= 10.5 - 5.5

= 5

okay I admit... 2and way to do it might be faster and more intuitive... :D

please help, will give brainliest!!!

Answers

Answer:

≈ 0.19

Step-by-step explanation:

So first, we find the probability of getting 1 yellow marble (the formula is the number of amount of type over the total number of items), which is:

10/(6+10+5+1)

= 10/22

= 5/11.

So getting a yellow marble on the first try is 5/11 likeliness.

Now, for the second one, we do the same except that you are NOT putting it back into the bag, which means we have to subtract the yellow marble you already took AND ALSO ONE FROM THE TOTAL AMOUNT OF YELLOW MARBLES.

To find the probability of getting the second marble, our equation is:

9/(6+9+5+1)

= 9/21

= 3/7.

Lastly, to find the probability of getting them both consecutively, we multiply the two results.

5/11 * 3/7

= 15/77

≈ 0.19

I hope this helped! :D

indentify the explicit function for the sequence in the table ​

Answers

Answer:

Option B

a(n) = 8 + (n-1) • 6

Answered by GAUTHMATH

You order CDs for $14.25 each and the website charges $4.50 for each shipment.
The expression $14.25p + $4.50 represents the cost of p CDs. Find the total cost for
ordering 4 CDs.

Answers

Answer:

$61.50

Step-by-step explanation:

14.25(4) + 4.50

= 57.00 + 4.50

= 61.50

the train regularly travels 135 miles in 60 minutes.

What is the speed, in miles per minute, on this portion of the route?

Answers

Answer:

2.25 miles per minute

Step-by-step explanation:

Speed = Distance/Time

135/60

2.25 miles per minute

Answer from Gauthmath

Which is the best estimate of -14 1/9 (-2 9/10)

Answers

Answer:

Step-by-step explanation:

-14 1/9 is close to - 14

-2 and 9/10 is close to - 3

The best estimate would be 42 (14 * 3)

Estimate means you put your calculator on the kitchen counter until you've done this question.

Let's see what the actual answer is. 40.92222 which is close to 41.

42 is a pretty good estimate.

help me please !! find the domain and range of the function represented by the graph. determine wether the domain is discrete or continuous.

Answers

Answer:

Domain is the whole R and the range is R+. The domain is continuous

A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?

Answers

Answer:

[tex]Expected = 0.09375[/tex]

Step-by-step explanation:

Given

[tex]Balls = 4[/tex]

[tex]n = 4[/tex] --- selection

Required

The expected distinct colored balls

The probability of selecting one of the 4 balls is:

[tex]P = \frac{1}{4}[/tex]

The probability of selecting different balls in each selection is:

[tex]Pr = (\frac{1}{4})^n[/tex]

Substitute 4 for n

[tex]Pr = (\frac{1}{4})^4[/tex]

[tex]Pr = \frac{1}{256}[/tex]

The number of arrangement of the 4 balls is:

[tex]Arrangement = 4![/tex]

So, we have:

[tex]Arrangement = 4*3*2*1[/tex]

[tex]Arrangement = 24[/tex]

The expected number of distinct color is:

[tex]Expected = Arrangement * Pr[/tex]

[tex]Expected = 24 * \frac{1}{256}[/tex]

[tex]Expected = \frac{3}{32}[/tex]

[tex]Expected = 0.09375[/tex]

#What is the value of the discriminant for the quadratic equation –3 = –x2 + 2x?

Discriminant = b2 – 4ac

–8
4
8
16

Answers

Answer:

16

Step-by-step explanation:

the quadratic equation –3 = –x2 + 2x can be changed into :

x²-2x-3= 0

a=1, b= -2 , and c = -3

so, the discriminant = (-2)²-4(1)(-3)

= 4 + 12 = 16

solve A = 1/2bh, for b

Answers

Answer:

b=2A/h

Step-by-step explanation:

First I throw everything else to another side with A by dividing them

(A = b)/2h

then I get

b=2A/h

Step-by-step explanation:

A = 1/2 bh

divide by 1/2

2A = bh

divide by h

2A/h = b

if measure of three angles of a quadrilateral are 65 degree 95 degree and 45 degree then find the measure of the fourth​ angle?

Answers

Answer:

155 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:

360-65-95-45

= 155

Therefore, the measure of the fourth angle is 155 degrees.

I hope this helps!

Answer:

155 degrees

Step-by-step explanation:

A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle

360=65+95+45+x

360=205+x

x=155

given m||n, find the value of x

Answers

Answer:

x = 155º

Step-by-step explanation:

y = 25°    {Vertically opposite angles}

x + y = 180    {Co-interior angles are supplementary}

x + 25 = 180

Subtract 25 from both sides

x = 180 - 25

x = 155°

91. Jack can read 45 pages of his book in one and a
half hours. At that rate, how long will it take him to
read the entire 300-page book?

Answers

Answer:

10 hours

Step-by-step explanation:

45 pages per 1 hour and 30 minutes,  or 60 min +30 min =90 min

90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages

90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300

? minutes = 90*300/45 = 600 minutes

to read 300-page book will take 600 minutes = 10 hours

using appropriate properties , find 7/5 × 5/12 − 3/12 × 7/5 − 1/15

Answers

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{7}{5} \times \frac{5}{12} - \frac{3}{12} \times \frac{7}{5} - \frac{1}{15} = \frac{7}{5} ( \frac{5}{12} - \frac{3}{12} ) - \frac{1}{15} = \frac{7}{5} \times \frac{1}{6} - \frac{1}{15} = \frac{7}{30} - \frac{2}{30} = \frac{5}{30} = \frac{1}{6} [/tex]

A spherical ball has a radius of 4 inches. What is the volume of this sphere, to the
nearest cubic inch.

Answers

Answer:

V = 267.9 in^3

Step-by-step explanation:

V = 4/3 * (pi) * r^3

V = 4/3 * 3.14 * 4^3

V = 4/3 * 3.14 * 64

V = 256/3 * 3.14

V = 803.84/3

The bar graph shows the median income for families in the United States from 1993 through 2000.
Which two consecutive years saw the largest increase in median income?

A. 1994–1995

B. 1997–1998

C. 1998–1999

D. 1999–2000

Answers

The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

Given that

In 1994-1995, the median income is 37,500 and 38,500.In 1997-1998, the median income is 39,700 and 41,000.In 1998-1999, the median income is 41,000 and 42,200.In 1999-2000, the median income is 42,500 and its less.

So after analysis, we can conclude that The two consecutive years in which there is the largest increase in the median income is option B i.e. 1997-1998.

Learn more about the bar graph here: brainly.com/question/14894834


PLEASE HELP IM TRYING TO FINISH THIS BY NEXT MONDAY AND IVE BEEN STUCK ON THIS

Answers

Answer:

Step-by-step explanation:

Choice A is the only one that is applicable.

Answer:

A. F(x) has 1 relative minimum and maximum.

Step-by-step explanation:

[tex]{ \bf{F(x) = 2 {x}^{3} - 2 {x}^{2} + 1 }}[/tex]

As x and F(x) tend to positive and negative infinity:

[tex]{ \sf{x→ \infin : f(x) = \infin}} \\ { \sf{x→ {}^{ - } \infin : f(x) → {}^{ - } \infin}}[/tex]

❎So, B and C are excluded.

Roots of the polynomial:

[tex]{ \sf{f(x) = 2 {x}^{3} - 2 {x}^{2} + 1}} \\ { \sf{f(x) = - 0.6 \: \: and \: \: 0.8}}[/tex]

, D is also excluded.

✔, A

if f(x) = 2x²+2x-1, g(x) = x²+5x+2 f(x)=g(x), find the value of x​

Answers

Answer:

Possible Answers: –5. –21. 7. –1

Answer:

just put the values and simpilyfy it untill you get the value of X

hence, the value of X is either 3 or, -1

Find the arc length of the partial circle.

Answers

Answer: C=10.99

Step-by-step explanation:

It can be seen that the arc has an angle of a=90 degrees, respectively, the length of the arc can be found by the formula[tex]\bf C=\dfrac{2\bf {\pi} r}{360} \cdot \alpha=> \dfrac{2\cdot 3,14\cdot 7 }{360} \cdot 90=\boxed{\bf 10.99}[/tex]  

In the PQRS triangle PQ=QR, QR side extended to S Show that PQ+RS=QS. -S Q R

pls explain too

Answers

Answer:

Step-by-step explanation:

from the picture:

QP = QR

and

QR = RS

so

PQ + RS = QS

working alone, aliyah can dig a 10ft by 10 ft hole is 6 hours. one day her friend eugene helped her and it only took 3.75 hours. how long would it take eugene to do it alone? disclaimer: the answer is 11.95 hours, but i keep getting 10. please use the 1/x+1/y=1/z strategy

Answers

Answer:

I think the answer is 10 hours

the 11.95 seems wrong

Step-by-step explanation:

[tex]\frac{1}{6} + \frac{1}{y} = \frac{1}{3.75}[/tex]

multiply by 22.5 y

3.75 y + 22.5 = 6y

y = 10

Write down at least five number pairs to solve the equation vw = 50

Answers

Answer:

1, 50

2, 25

5, 10

10, 5

25, 2

Answer:

Step-by-step explanation:

V  W  

1 x 50     = 50

1.5 x 33 1/3 = 50

2 x 25     = 50

2.5 x 20     = 50

3 x 16 2/3 = 50

3.5 x 14 2/7 = 50

4 x 12 1/2 = 50

4.5 x 11 1/9 = 50

5 x 10     = 50

5.5 x 9     = 50

6 x 8 1/3 = 50

6.5 x 7 2/3 = 50

7 x 7 1/7 = 50

7.5 x 6 2/3 = 50

8 x 6 1/4 = 50

8.5 x 5 8/9 = 50

9 x 5 5/9 = 50

9.5 x 5 1/4 = 50

10 x 5     = 50

10.5 x 4 3/4 = 50

11 x 4 5/9 = 50

11.5 x 4 1/3 = 50

12 x 4 1/6 = 50

12.5 x 4     = 50

13 x 3 6/7 = 50

13.5 x 3 5/7 = 50

14 x 3 4/7 = 50

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