what is the sum of 1+2+.....+50?​

Answers

Answer 1

Answer:

sum is 1275

Step-by-step explanation:

[tex]sum = \frac{n}{2} [2a + (n - 1)d] \\ \\ sum = \frac{50}{2} [(2 \times 1) + (50 - 1) \times 1] \\ \\ sum = 25(51) \\ sum = 1275[/tex]


Related Questions

Find the sum of 5m + 2n, n - 3m, and 7 - 3n

Answers

Answer:

5m + 2n + (n - 3m) + (7 - 3n) = 5m - 3m + 2n + n - 3n + 7 = 2m + 7

Step-by-step explanation:

Answer

36x287x855y46

Step-by-step explanation:

hmmmm

please help if possible​

Answers

Answer:

59 cm ³

Does the answer help you?

How to do it who can solve it

Answers

Answer:

because of its bark

Step-by-step explanation:

the answers have corresponding letters so answer the questions and put the letter next to the question above the answer

some of the answers are repeated

Solve for x. Type your answer below.


5(2x−12)=​−90

Answers

Hi there!

[tex]\large\boxed{x = -3}[/tex]

Begin by distributing the 5:

5(2x) + 5(-12) = -90

Simplify:

10x - 60 = -90

Add 60 to both sides:

10x = -90 + 60

10x = -30

Divide both sides by 10:

x = -3

Answer:

x = -3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, divide 5 from both sides of the equation:

5(2x - 12) = -90

(5(2x - 12))/5 = (-90)/5

2x - 12 = -90/5

2x - 12 = -18

Next, add 12 to both sides of the equation:

2x - 12 (+12) = -18 (+12)

2x = -18 + 12

2x = -6

Finally, divide 2 from both sides of the equation:

(2x)/2 - (-6)/2

x = -6/2

x = -3

-3 is your answer for x.

~

PLEASE HELP I'M GOING INTO 8TH GRADE AND I HAVE NO IDEA HOW TO DO ALGEBRA AND THIS IS CONFUSING HELP MY! :l 4x - 8 > -40

Answers

4x -8 > -40

Add 8 to both sides:

4x > -32

Divide both sides by 4:

X > -8

Answer: x > -8

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 43 and a standard deviation of 8. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 19 and 67

Answers

Answer:

Step-by-step explanation:

If you drew out the bell curve and put the values where they go, this would be a no-brainer that doesn't even need math to solve. However, we will use the formula and then the table for z-scores to find this answer.

We are looking for the probability that the number of calls falls between 19 and 67. The standard deviation is 8 and the mean is 43. The probability we are looking for is P(19 < x < 67), therefore we look for the probability first that number of calls is greater than 19:

[tex]z=\frac{19-43}{8}=-3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 19 is .99865 (or 99.8%). Likewise,

[tex]z=\frac{67-43}{8}=3[/tex] and from the table and to the right of the z-score, the probability that the number of calls is greater than 67 is .00315.

Take the difference of these to get the probability that the number of calls falls between these 2:

.99865 - .00135 = .9973 or 99.7%

help me please !!! :)

Answers

Answer:

A

Step-by-step explanation:

f(x) = x+4 when x is equal to or less than - 2. f(-4)=0

$108.75 for working 15 hours as a holiday helper wrapping gifts. At this rate, how much money will she earn if she works 18 hours the next week. Explain.

Answers

Answer:

$130.50

Step-by-step explanation:

$108.75/15 = 7.25

7.25 x 18 = $130.50

She will earn $130.50

Tommy started a business in the year 1991. He got $44,000 profit in the first year. Each year his
profit decreased by 3%. Identify an exponential decay model to represent his decreasing annual
profit in the business?

Answers

Answer= decreasing annual profit in the business

are $13200.

Answer:

[tex]P = 44,000(.97)^{t}[/tex]

P=Profit

t=years

Step-by-step explanation:

[tex]P = 44,000(.97)^{t}[/tex]

P=Profit

t=years

If the measure of FGH IS 64º and the measure of EGD is (4x+8), what is the value of x?
E
D
F
H

Answers

[tex]\\ \sf\longmapsto 4x+8=64[/tex]

[tex]\\ \sf\longmapsto 4x=64-8[/tex]

[tex]\\ \sf\longmapsto 4x=56[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{56}{4}[/tex]

[tex]\\ \sf\longmapsto x=14[/tex]

Given the diagram below , what is sin(30”)?

A. 1/2
B. 1/3
C. 1/4
D. 3/4

Answers

Answer:

Sin( 30 ) is 1/2 .

A is the best / correct answer .

what is the angle of elevation to a building 1000 m away that is 300 m high?

Answers

Let h be height of building

then In ΔABC

AB/BC =tan60degree

h/100 = root 3

h= 100 root 3

PLEASE MARK BRAINLIST!!

 

The required angle of elevation of the building is 16.7°.

Given that,
what is the angle of elevation to a building 1000 m away that is 300 m high is to be determined.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
The angle of the elevation is given as,
TanФ = 300/1000
Ф = tan⁻¹(3/10)
Ф = 16.7°

Thus, the required angle of elevation of the building is 16.7°.

Learn more about trigonometry equations here:

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simplify root 32-6 divided by root 2 plus root 2​

Answers

Answer:

5•362165924

Step-by-step explanation:

first make root of 32-6=5•099019514

then make root of 2+root2=1•84--

then divide upper by lower part answer comes

or

root32-6=root26

root 2+root 2=2root2

root26/root2root2

ans=3•0318---

Answer:

[tex] \frac{ \sqrt{32} - 6 }{ \sqrt{2} + \sqrt{2} } \\ \frac{ \sqrt{16 \times 2} - 6}{2 \sqrt{2} } \\ \frac{4 \sqrt{2} - 6}{2 \sqrt{2} } \\ \frac{2(2 \sqrt{2} - 3) }{2 \sqrt{2} } \\ \frac{2 \sqrt{2} - 3}{ \sqrt{2} } \\ thnk \: you[/tex]

The temperature of the rod was 10°C above zero. It was kept in a freezer at 2 p.m. If
its temperature decreased at the rate of 3°C per minute, at what time would be the
temperature be 8°C below zero? What would be the temperature at 3 pm ?

Answers

answer: 8:00 pm and 7°C

factorize the expression:
mn² + mnp + 3mn + 3mp

Answers

Answer:

(mn+3m)(n+p)

Step-by-step explanation:

Answer:

(mn + 3m)(n + p)

Step-by-step explanation:

Factorize by grouping:

[tex]mn^2+mnp\\mn(n+p)\\\\3mn+3mp\\3m(n+p)\\\\(mn+3m)(n+p)[/tex]

69 POINTS !!!!!!!
Which of the following describes the matrix?

[8 9 4]
[5 2 6]
[3 1 7 ]


3×3
3×9
9×3
2x3

Answers

Answer:  Choice A)  3x3

The 3x3 refers to the number of rows and the number of columns in that order.

As another example, this matrix

[tex]\begin{bmatrix}1 & 7 & 9\\13 & 41 & 2\\5 & 8 & 7\\92 & 3 & 5\end{bmatrix}[/tex]

is a 4x3 matrix because it has 4 rows and 3 columns.

Shyam is 28 years old than his daughter, now product of their age is 204. find out the age of daughter.​

Answers

Let daughter be x years old. Then, Shyam is (x + 28) years old.

So,

x(x + 28) = 204

=> x² + 28x = 204

=> x² + 28x - 204 = 0

=> x² - 6x + 34x - 204 = 0

=> x(x-6) + 34(x-6)

=> (x - 6) (x + 34) = 0

=> x - 6 = 0 or x + 34 = 0

=> x = 6 or x = -34

Since any age cannot be negative, daughter's age is 6 years old.

What is a ratio that is equivalent to 12:35?

Answers

Answer:

0.3429 is a decimal and 34.29/100 or 34.29% is the percentage for 12/35.

Answer:

24 : 70

Step-by-step explanation:

12 : 35

Multiply each side by 2

12*2  : 35*2

24 : 70

I need help, because I am stu-pid

Answers

Answer:

B. 171

Step-by-step explanation:

Answer:

The answer is 171

Step-by-step explanation:

You do the math in the parentheses first, then the sum to the power of two, then multiply by 4, and then subtract by 5^2.

4×(2+5)^2-5^2

4×(7^2)-5^2

4×(49)-5^2

4×49-5^2

196-5^2

196-25=

171

Identify the segments that are parallel, if any, if ∠KCB≅∠JAC.

Answers

The two lines are parallel if they are at same distant, but these lines will never meet at any point.

Parallel lines do not intersect each other. These lines are equidistant from each other.

In the given angles the line CB will be parallel to line AC.

CB ≅ AC

These two lines will be equidistant from each other since they both form an equivalent angle. These lines will not intersect with each other.

Learn more at https://brainly.com/question/24370301

A man writes 1 on the first line of his paper, then writes 2 and 3 on the second line, then 4, 5, and 6 on the third, and continues so that on any line n he writes the first n integers following the last integer on line n - 1. What is the sum of the first and last integers on line 17

Answers

Answer: 290

Step-by-step explanation:

[tex]First\ integer\ on\ line\ n\ is:\ \dfrac{n^2}{2}-\dfrac{n}{2}+1 \\\\For \ line\ 17\ : \dfrac{17^2}{2}-\dfrac{17}{2}+1 =137\\\\\\Last \ integer\ on\ line\ n\ is:\ \dfrac{n*(n+1)}{2} \\\\For\ line\ 17:\ \dfrac{17*(17+1)}{2} =153\\\\Sum=137+153=290[/tex]

I have not say the equation in u(n+3) for the recurrence,

the resolution of the equation caracteristic and the resolution of a system of 3 equations with 3 variables.

Question choices:
A: I, IV

B: II, III, IV

C: III, IV

D: II, III

Answers

0Answer:

A

Step-by-step explanation:

Find the zeros by letting y = 0 , that is

x² - x - 6 = 0 ← in standard form

(x - 3)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x + 2 = 0 ⇒ x = - 2

Since the coefficient of the x² term (a) > 0

Then the graph opens upwards and will be positive to the left of x = - 2 and to the right of x = 3 , that is in the intervals

(-∞, - 2) and (3, ∞ ) → option A

[tex](x+3).(x+2)=\sqrt{x^2+4}[/tex]

Answers

Answer:

OK, so I thought I could solve this but now I'm not so sure. I got [tex]\sqrt{x^{2}+4}[/tex] = [tex]\sqrt{x^{2}+4}[/tex] but this whole thing is such a huge mess I have no idea if it's right or wrong. I tried my best to get it right and I hope this helps.

Step-by-step explanation:

First, let's simplify the left side:

let's make (x + 3) = a and (x + 2) = b

so a · b or ab =

Now let's solve for a:

ab = [tex]\sqrt{x^{2}+4}[/tex]

ab/b = ([tex]\sqrt{x^{2}+4}[/tex]) / b

a = ([tex]\sqrt{x^{2}+4}[/tex]) / b

Now we can substitute a:

[([tex]\sqrt{x^{2}+4}[/tex]) / b] · b = [tex]\sqrt{x^{2}+4}[/tex]

{[([tex]\sqrt{x^{2}+4}[/tex]) / b] · b} / [([tex]\sqrt{x^{2}+4}[/tex]) / b] = ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b}

b =  ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b]

Now we can substitute a and b:

[([tex]\sqrt{x^{2}+4}[/tex]) / b] · ([tex]\sqrt{x^{2}+4}[/tex]) / [([tex]\sqrt{x^{2}+4}[/tex]) / b] = [tex]\sqrt{x^{2}+4}[/tex]

[tex]\sqrt{x^{2}+4}[/tex] = [tex]\sqrt{x^{2}+4}[/tex]

Please help!

This is a part 2 of a question, I found the first one and couldn’t find the second one. These are from edginuity. If you guys need the first part lmk.

Answers

Answer:

The vertical line test is basically a way to determine whether or not a graph is a function.  All three of the options are accurate, so I would select all three.

Let me know if you have any other questions!

pls help in question no 10. a)​

Answers

Answer:

He should sell it at the cost of 11,115.7895 Rs

Explanation:

Find original price:

100% - 5% = 95% = 9600

Let x be the original price.

Thus (95/100)x = 9600
x = (9600 x 100)/95
x = 960000/95
x = 10105.2632

Find the price in order to gain 10%.

x • 110% = 10105.2632 x 110/100 = 11,115.7895

graph shown here is the graph of which of the following rational
functions?

Answers

Answer:

B) f(x) = 1/x-1

Step-by-step explanation:

You can type it into desmos graphing calculator- hope this helps

Option (B) is correct.

What is a graphing function?

"Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation"

For the given graph,

The functions are

(A) [tex]f(x)=\frac{1}{x}[/tex]

(B) [tex]f(x)=\frac{1}{x-1}[/tex]

(C) [tex]f(x)=\frac{1}{x+1}[/tex]

Plot all these functions in the graph. We can obtain the graph as shown for option (B).

Hence we can conclude that option (B) is correct.

Learn more about graphing functions here

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Input in standard form the equation of the given line. The line that passes through (1, 1) and (3, 4)​

Answers

ANSWER:
y=3/2x-1/2

Standard Form Equation: y=mx+b

graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line

Answers

Answer:

y = -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - (-7) / -2 - (-3)

0/1

= 0

y = 0x + b

-7 = 0(-2) + b

-7 = 0 + b

b = -7

Two consecutive integers have a sum of 107. Find the integers.

Answers

Answer: 53 and 54

Explanation

Let the consecutive numbers be x and x + 1

ATQ

x + x + 1 = 107

2x = 107 - 1

x = 106/2

x = 53

Therefore the numbers are 53 and 54

Must click thanks and mark brainliest

Answer:

x = 53, x + 1 = 54

Step-by-step explanation:

Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):

Regular consecutive numbers: 1, 2, 3

Even consecutive numbers: 2, 4, 6

Since in this problem the numbers are not given you will use variables.

x + x + 1 = 107

Solve:

x + x + 1 = 107

2x + 1 = 107

      -1      -1

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

2x = 106

---    -----

2      2

  x = 53

x + 1

53 + 1 = 54

Hope this helped.

Determine the equation of the line that is parallel to the line 3x-4y-12=0 that passes through the point (-4,-1). Write the equation in slope-intercept form.

Answers

Answer:

y=(3/4)x+2

Step-by-step explanation:

write the equation in slope-intercept form: y=(3/4)x - 3

since it is parallel the slope is the same so we have y=(3/4)x + b

then plug in the point (-1) = (3/4)(-4) + b

-1 = -3 +b, b=2

y= (3/4)x + 2

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