Answer:55Step-by-step explanation:Use the identity for the sum of squares of n natural numbers:S = n(n + 1)(2n + 1)/6Since we have the sum, 56980:n(n + 1)(2n + 1)/6 = 56980(n + n)(2n + 1) = 56980*62n + 3n + n - 341880 = 0Solve the equation graphically to get a natural solution of n = 55

Mathematics High School

DECIDE !!!!!!!!!!!!!

Answers

Answer 1

Answer:

Step-by-step explanation:

Use the identity for the sum of squares of n natural numbers:

Sₙ² = n(n + 1)(2n + 1)/6

Since we have the sum, 56980:

n(n + 1)(2n + 1)/6 = 56980(n² + n)(2n + 1) = 56980*62n³ + 3n² + n - 341880 = 0

Solve the equation graphically to get a natural solution of n = 55

Related Questions

There are 1024 bytes in a kilobyte. Write an expression that describes the number of bytes in a computer chip with n kilobytes. helpppp

Answers

Bytes are used to represent the number of bits in a computer system. There are 1024n bytes in n kilobytes.

Using the following representation:

[tex]KB \to[/tex] Kilobyte

[tex]B \to[/tex] Bytes

1024 bytes in 1 kilobyte is represented as:

[tex]1024B = 1KB[/tex]

Let the number of bytes in n kilobytes be x.

So, we have:

[tex]x = n\ KB[/tex] and

[tex]1024B = 1KB[/tex]

Cross multiply

[tex]x \times 1KB = 1024B \times nKB[/tex]

Divide both sides by KB

[tex]x \times 1 = 1024B \times n[/tex]

[tex]x = 1024n\ B[/tex]

Remove the units for proper representation

[tex]x = 1024n[/tex]

Hence, there are 1024n bytes in n kilobytes

Answers

Answer:

StepTo find the sum of the first Sn terms of a geometric sequence use the formula

Sn=a1(1−rn)1−r,r≠1,

where n is the number of terms, a1 is the first term and r-by-step explanation:

Answer: 745

Step-by-step explanation:

[tex]The\ sequence\ is\ a\ geometric\ one.u_1=75\\u_2=90\\u_3=108\\u_4=129.6\\u_5=155.52\\u_6=186.624\\\\common\ factor\ is\ 1.2=\frac{6}{5} \\\\Sum=u_1+u_2+...+u_6=\displaystyle \sum_{i=1}^{6} 75*(\frac{6}{5})^{i-1} \\=75*\dfrac{(\frac{6}{5}) ^6-1 }{\frac{6}{5}-1 }\\\\\\=75*\dfrac{1,985984}{\frac{1}{5} } \\\\=75*9,92992\\\\=744,744\\\\\approx{745}[/tex]

At a coffee sale held one day in 2004 ,the average price of 50 kg bag of coffee was sh 2422.90 . What was the cost of 1 kg of coffee (Give your answer to the nearest 10 cent)

Answers

Answer: $ 48.46

Step-by-step explanation:

If the price of 50 Kg of coffee was 2422.99, what is the cost of 1 Kg of coffee?

50/1 = 2422.90/x (cross multiplication)

48.46

Re-write the equation 2 x minus 4 y = 8 in slope-intercept form.
a.
y = 2 x minus 2
c.
y = negative one-half x minus 2
b.
y = one-half x + 2
d.
y = one-half x minus 2

Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

The answer is D

Step-by-step explanation:

Start by subtracting 2x from both sides

-4y = -2x + 8

Divide both sides by -4

y = 1/2x - 2

y = one-half x minus 2

Mr.Lin ordered 7 cases of pencils.Each case had 148 pencils. How many pencils did Mr.Lin order in all.Use the model to solve.

Answers

Answer:

7×148= 1036

Step-by-step explanation:

This is the easiest way to solve ...

But you are asking a model to be used for solving...

No idea about it

Find the value of x and y

Answers

(x/4, y/3＋1)＝(1/2, 5/3)

x/4＝1/2
2x＝4
x＝2

y/3＋1＝5/3
y＋3＝5
y＝2

(x, y)＝(2, 2)

Hope my answer helped u :)

what is the value of x?

Answers

Sum of interiors=Exterior

[tex]\\ \sf\longmapsto x+88=138[/tex]

Take 88 to right

[tex]\\ \sf\longmapsto x=138-88[/tex]

[tex]\\ \sf\longmapsto x=50°[/tex]

Option C is coreect

For the function f(x) = 3 − 8x, identify the values of f(0), f(1/2), and f(−2).
3; 7; −13
−5; −1; −13
3; −1; 19
−5; 7; 19

Answers

Answer:

The answer is 3: -1: 19

Step-by-step explanation:

I. f(x) is output x is input so

If x = 0

f(0) = 3 - 8(0)

f(0) = 3

If x = 1/2

f(1/2) = 3 - 8(1/2)

= 3 - 4

f(1/2) = -1

If x = -2

f(-2) = 3 - 8(-2)

= 3 - (-16)

= 3 + 16

f(-2) = 19

Hope that help :D

10. Jika a dan b penyelesaian dari persamaan
2x – 5 = 1+Vx-3 , maka a + b =
(A) 4
(B) 6
(C) 10
(D) 12
(E) 14

Answers

HELP PLS HELP HELP WILL MAKE BRAINLIEST

Answers

Answer: Therefore, 14% of cats and dogs got shelter during the day.

Step-by-step explanation:

cats = 5/50 * 100%

= 5*2% = 10%

dogs = 2/50* 100%

= 2*2% = 4%

= 10% + 4% = 14%

Answer:

Option A

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Solve for y
(y-k)h=c

Answers

Answer:

Y = C/h+ K

Step-by-step explanation:

hope that helps>3

How do write 200,403,926 in expanded form and in words

Answers

Answer:

two-hundred million,four-hundred and three thousand ,nine-hundred and twenty-six

Answer:

Answer below

Step-by-step explanation:

Expanded form: 200,000,000 + 400,000 + 3,000 + 900 + 20 + 6

This is when you split a number and write the value of each number

In words: two hundred million four hundred and three thousand nine hundred and twenty six.

HOPE THIS HELPED

Seven less than the product of 8 and a number equals 4

Answers

Answer:

11/8 or 1 3/8 or 1.375

Step-by-step explanation:

From the information given by the question, we can form an equation:

Let us call the number 'n'

8 × n - 7 = 4

We then move the 7 to the other side, changing it from minus to plus:

8 × n = 4 + 7

So,

8 × n = 11

We divide both sides by 8, to leave n on one side of the equation.

n = 11/8

Therefore, n = 11/8 or 1 3/8 or 1.375

please help mathematics worksheet

Answers

Answer:

(a).

[tex] \frac{2}{5a} = \frac{4}{a - 1} \\ \\ 20a = 2a - 2 \\ 18a =- 2 \\ a = - \frac{1}{9} [/tex]

(b).

[tex] \frac{7}{2d - 5} = \frac{9}{3d + 4} \\ \\ 7(3d + 4) = 9(2d - 5) \\ 21d + 28 = 18d - 45 \\ 3d = - 73 \\ d = - \frac{73}{3} [/tex]

(c).

[tex] \frac{3}{e + 1} + \frac{1}{2e + 1} = 0 \\ 3(2e + 1) = - (e + 1) \\ 6e + 3 = -(e + 1) \\ 7e = - 4 \\ e = - \frac{4}{7} [/tex]

(d).

[tex] \frac{5}{2f - 5} - \frac{4}{7f + 1} = 0 \\ \\ \frac{5}{2f - 5} = \frac{4}{7f + 1} \\ \\ 5(7f + 1) = 4(2f - 5) \\ 35f + 5 = 8f - 20 \\ 27f = - 25 \\ f = - \frac{25}{27} [/tex]

(d).

Step-by-step explanation:

a)2/5a=4/a-1

By cross multiplication:

5a×4=2(a-1)

20a=2a-2

20a-2a=-2

18a=-2

a=-2/18

a=-1/9

b)7/2d-5=9/3d+4

By cross multiplication:

7(3d+4)=9(2d-5)

21d+28=18d-45

21d-18d=-45-28

3d=-73

d=-73/3

c)3/e+1 + 1/2e+1=0

3/e+1=-1/2e+1

By cross multiplication

3(2e+1)=-1(e+1)

6e+3=-e-1

6e+e=-1-3

7e=-4

e=-4/7

d)5/2f-5-4/7f+1=0

By cross multiplication

5/2f-5=4/7f+1

5(7f+1)=4(2f-5)

35f+5=8f-20

35f-8f=-20-5

27f=-25

f=-25/27

there are 16 marbles in a bag 12 of them are blue and 4 are yellow. what is the probability of picking a blue marble then a yellow marble without replacing the first one

11/20
3/7
1/5

Answers

Answer:

1/5

Step-by-step explanation:

the prob that you will pick a blue marble would be 12/16, easy.

then the prob of picking a yellow marble after that would be 4/15 since one marble is already missing. multiply the numerator and denominator of each fraction. so 12 x 4 and 16 x 15 to get 48/240. then divide each by 48 to get 1/5.

the answer is 1/5

hope that solve your problem for whoever gets this question

O perimetro de uma praça é 320 m. Qual o valor do seu diâmetro

Answers

Answer:

A área de um quadrado cujo perímetro é de 320 m é 6400 m2

Step-by-step explanation:

Seven more than three times 11

Answers

11 times 3 is 33. 33+7 is 40. The answer is 40.

Step-by-step explanation:

So, 3 times 11 would give you 33. Then you just add the 7 and it would give you 40!

ANSWER ASAP!!! BRAINLIEST AWARDED

It take 5 minutes to help a restock an area. How much areas can you restock in 50 minutes?

Answers

Answer:

Step-by-step explanation:

1:5

10:50

Answer:

Step-by-step explanation:

5 minutes = 1 area

→ Divide the 50 by the 5

50 ÷ 5 = 10

→ Multiply this by the area

10 × 1 = 10

can someone please accurately do this. if you just put anything, i will report and get my points back

Answers

DOE= 27
BOC= 36
COE= 54
AOF= 36
FOE= 90
BOA= 144

I made sure to double check them all for you too, so they should be right!

(4x + 5y) - (2x + 5)
How to answer pls?

Answers

Step-by-step explanation:

(4x + 5y) - (2x+5)

impliment the negative

4x + 5y -2x -5

combine like terms

2x + 5y - 5

traditionally the x goes first but it could be y too such as 5y + 2y - 5

either one is the final answer

Answer:

2x + 5y - 5

Step-by-step explanation:

(4x + 5y - (2x + 5)

remove the brackets.

➡️ 4x + 5y - (2x - 5)

if there is a "-" in front of a form in brackets, change the sign of each term in the form.

➡️ 4x + 5y - 2x - 5

simplify terms by adding or subtracting.

➡️ 2x + 5y - 5

Please help this is timed

Answers

5 minutes

As time increases, the amount of water in the aquarium decreases.

30 litres per minute

After making several scale drawings Joseph decides on the best placement for a new grillon deck He uses a scale of 2 cm for every 5 in What is the actual area of the space for Joseph's new square inches ?

Answers

Answer:

2250

Step-by-step explanation:

The actual areas is 1125 in²

A scale drawing can be described as a drawing of an original image that is reduced by a constant proportion to the original image.

scale of the drawing = original dimensions / dimensions of the scale drawing

The scale used by Joseph = 2 cm : 5 inches

This can be simplified further by dividing by 2

1 cm : 2.5 inches

Based on the image, the dimensions of the grill are 10 cm x 18cm

The length of the actual grill = 18 x 2.5 = 45 inches

The width of the actual grill = 10 x 2.5 = 25 inches

Area of a rectangle = length x width

Area of the actual space for the grill = 25 x 45 = 1125 in²

To learn more about scale drawings, please check: brainly.com/question/980463?referrer=searchResults

I need help on this

Answers

Answer:

ans is 0

mark me as brainliest

What is the equatiqn of the line that passes through the point (-5, 4) and has a
slope of -3/5?

Answers

Answer:

y = -3/5x + 1

Step-by-step explanation:

We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and b = y-intercept.

4 = -5(-3/5) + b

4 = 3 + b

1 = b

With the information we know, we can input the values into the formula once again.

y = -3/5x + 1

Best of Luck

Can someon answer this ASAP no photo examples please!

Answers

Answer:

7 inches

Step-by-step explanation:

7 inches

bc area of a square is l^2 and square of 7 is 49.

I need an explanation for this PLEASEE!

Answers

Answer:

4)Y axis :X=0

5)A:2units B:4 units C:7units D:7units

A':2units B':4units C':7units D':7units

6)They are correspondingly the same

7)A(2;1) B(4;4) C(7;4) D(7;1)

A'(-2;1) B'(-4;4) C'(-7;4) D(-7;1)

Carrie likes to buy t-shirts at the local clothing store.
They cost $9.95 each. One day, she bought 25t-shirts.
How many money did she spend?

Answers

Multiply how much one T-shirt cost by the 25shirts Carrie bought = 248.75 dollars

Riley needs to make fruit punch for the family reunion. One batch of punch has the ingredients shown. if the punch bowl holds 27 cups, how many cups of orange juice will she need to keep the ratio in a full punch bowl the same?

Answers

Answer:

6 cups

hopes this help you

4.

Find the Midpoint of (2,8) and (-2,0)

if you could show your work that'd be great

Answers

Answer:

Midpoint= (0, 4)

Step-by-step explanation:

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) }[/tex]

Using the formula above,

midpoint

[tex] = ( \frac{2 - 2}{2} , \frac{8 + 0}{2}) [/tex]

[tex] = (0, \frac{8}{2} )[/tex]

[tex] = (0,4)[/tex]

PLEASE HELP! 100 POINTS!

Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.

What will your final grade be if your homework average is 85 and your test average is 76?

Answers

67% of 85

[tex]\\ \sf\longmapsto \dfrac{67}{100}\times 85[/tex]

[tex]\\ \sf\longmapsto 85(0.67)[/tex]

[tex]\\ \sf\longmapsto 56.95[/tex]

33% of 76

[tex]\\ \sf\longmapsto \dfrac{33}{100}\times 76[/tex]

[tex]\\ \sf\longmapsto 76(0.33)[/tex]

[tex]\\ \sf\longmapsto 25.08[/tex]

Add both

[tex]\\ \sf\longmapsto 56.95+25.08[/tex]

[tex]\\ \sf\longmapsto 82.03[/tex]

Using weighed averages, it is found that the final grade is was of 82.03.

-------------------

The weighed average, which represents the final grade, is given by the sum of the grades multiplied by it's weights.The higher grade has a weight of 67%.The higher grade was of 85, on homeworks.The lower grade has a weight of 33%.The lower grade was of 76, on the test average.

-------------------

Using the data given in the exercise, for the grades, and the weighed average concept, the final grade is:

[tex]G = 85(0.67) + 76(0.33) = 82.03[/tex]

The final grade was of 82.03.

A similar problem is given at https://brainly.com/question/24447096

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