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

Graph the line for y+1 = - 3(2x - 4) on the coordinate plane.​

Answers

Slope = -6
Y-intercept = (0,11)
X Y
0 11
1 5

PLZZ HELP !!!

If two functions, f(x) and g(x), are inverse of each other, then the:
(select all that apply)

- range of f(x) is the same as the domain of g(x)

-domain of f(x) is the same as the domain of g(x)

-domain of f(x) is the same as the range of g(x)

- range of f(x) is the same as the range of g(x)

Answers

The range and domain of f is the opposite one for g.
Meaning that range of f(x) is the domain for g(x) and the same goes for the domain of f(x) matching range of g(x).

Which expression is equivalent to 4 + 36x?

Answers

Answer:

A

Step-by-step explanation:

4(1)+4(9x)=4+36x

Help me please i have no idea how to do this

Answers

For clearly look we can seperate the number parts and the letter parts because they are all “*” and “/“ caculation
Initial fraction: (20 * a^2 * b) / ( 5 * a * b^2) = (20 / 5) * (a^2 / a) * (b / b^2)

Result: (4*a) / (b) = (4*a) / (1*b) = (4/1) * (a/b)

As you can see the result is a fully simplifying form so just simplify any thing you can from initial fraction
20/5 = 4/1 (both nume and deno are divided by 5)
a^2 / a = a/1 (divided by a)
b / b^2 = 1/b (divided by b)
Multiply all above we get the result 4a/b (just for checking whether we did right or not)

Next, multiply all that we have divided in previous step: 5*a*b = 5ab
=> problem solved

Which is the angle of depression from b to c

1.)<2
2.) <3
3.) <1
4.)<4

Answers

<2

Step-by-step explanation:

that the answer. because it below par

Lena is asked to write an explicit formula for the graphed geometric sequence.

On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).

What value, written as a decimal, should Lena use as the common ratio

Answers

Answer:

Common Ratio = 2.5

Step-by-step explanation:

Given

Points: (1, 1), (2, 2.5), (3, 6.25)

Required

Determine the common ratio

The points can be rewritten as:

x --- f(x)

1 ---- 1

2 --- 2.5

3 ---- 6.25

The data under the x column are the domain of the function and in this case,  they are not needed;

To calculate common ration, Lena should use data in function f(x) column

Common ratio is calculated by dividing a term by the previous term;

Hence;

Common Ratio = 2.5/1 or 6.25/2.5

Common Ratio = 2.5 or 2.5

Notice that, the results are the same;

Hence, the usable common ratio is 2.5

Answer: 2.5 or "C"

Step-by-step explanation: this is right on the edge i just did the test.....Hope this helps :D

Two consecutive even whole numbers have a product of 360. What is the smaller of the
two number?

Answers

Answer:

18

Step-by-step explanation:

To find this answer you would need to use the formula x(x+2) = 360 where x is an even number.  This is the formula because any number plus 2 equals the next consecutive, even whole number.   If we look at the factors of 360 we see the factors-

360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

If we look through all of the factors 18 and 20 are the only ones with a 2 number difference.

Next, if we plug 18 into the equation:

x(x+2) =360

18(18+2) = 360

324+36 = 360

360 = 360

Since the equation works, x = 18.

PLEASE HELP ME OUT I NEED IT RIGHT NOW!! :(((

Answers

1: 3.12-3=0.12
2: 3.22-3=0.22
3: 3-2.99=0.01
4: 3.111-3=0.111

0.01<0.111<0.12<0.22
∴ Rain gauge 3 was the most accurate

Hope my answer helped u :)

Which of the following is most likely the next step in the series?

A.
B.
C.
D.

Answers

Answer:

B

Step-by-step explanation:

In each one, they add two arrows that are to the right as much as they possibly can be

binomial expansions for clever cookies

Answers

The answers are in the red rectangles with the work.

Let me know if something is unreadable.

HELP, round to the nearest penny.
$11,579.9998

Answers

Answer:

11,580.00

Step-by-step explanation:

So basically all you need to do is round to the nearest 0.01 or the hundredths place. What you would do is round each place by so and you will eventually get the answer of 11,580.00

Hope this helps!!! Have a good rest of your day! :)

Solve the following for the value of the pro-numeral:
(c - 7) / 2 = -5

Answers

Answer:

[tex] \frac{(c - 7)}{2} = - 5 \\ c - 7 = - 5 \times 2 \\ c - 7 = - 10 \\ c = - 10 + 7 \\ c = - 3[/tex]

I hope I helped you^_^

PLEASE HELP ASAP
A helicopter hovers 500 feet
above a small island. The
figure shows that the angle of
depression from the helicopter
to point P is 48º. How far off
the coast, to the nearest foot, is
the island?
d ft
(Round the answer to the nearest whole number.)

Answers

Answer:

d = 450 ft

Step-by-step explanation:

Hi there!

First, we can find the angle in the triangle at the point of the helicopter, the angle opposite [tex]d[/tex]. Subtract 48° from 90°:

90-48=42

Now, given that this is a right triangle and we have an angle and the side adjacent the angle, we can solve for [tex]d[/tex] by using the tangent ratio:

[tex]tan\theta=\displaystyle \frac{opposite}{adjacent}[/tex]

Replace θ with 42°, "opposite" with [tex]d[/tex], and "adjacent" with 500 ft:

[tex]tan(42)=\displaystyle \frac{d}{500}[/tex]

Multiply both sides by 500 to isolate [tex]d[/tex]:

[tex]500*tan(42)=d\\450=d[/tex]

Therefore, d = 450 ft when rounded to the nearest whole number.

I hope this helps!

Determine the point of intersection of the lines x + y = 4 and 2x + 3y = 12

Answers

Answer:

(2,2)

Step-by-step explanation:

x=4-y

2 ( 4 - y )+ 3y= 12

2y = 12 -8

y= 2

substitute y in first eq. :

x=4 - 2

x= 2

im stuck between B and D please help

Answers

Answer:

maybe it's D ( not sure tho)

A pole that is 2.7 m tall casts a shadow that is 1.56 m long. At the same time , a nearby building casts a shadow that is 38.25 m long. How tall is the building ? Round your answer to the nearest meter.

Answers

Set up a ratio of height/ shadow

2.7/1.56 = x/38.25

Cross multiply:

1.56x = 103.275

Divide both sides by 1.56

X = 66.2

Round to nearest meter = 66

Answer: 66 meters

what is the value of x ?

Answers

Answer:

x = 18

Step-by-step explanation:

11 x 11 = 121

10 x 10 = 5x + 10

100 = 5x + 10

90 = 5x

x = 90/5

x = 18

find the ratio between 6 cm and 1.5m​

Answers

Answer:

6:150

Step-by-step explanation:

If you like my answer mark me brainliest

Answer:

1:25

Step-by-step explanation:

1.5m=150cm

6:150

1:25

Shelly charges $10 per hour for her babysitting servives. Last month Shelly babysat for 15 hours. This month she babysat for n hours.

a. Write an expression using parentheses to describe how much money she made.

b. Given that n=12, evaluate your expression using the distributive property.​

Answers

Answer:

A.  10(15) + 10n = $ made for babysitting

B. $270

Step-by-step explanation:

B. 10(15) + 10(12)

150 + 120 = $270

simplify the below equation
[tex]( {8x^{2} y^{3} )( \frac{3}{8}x {y}^{4} )[/tex]

Answers

Answer:

3x^3y^7.

Step-by-step explanation:

8 * x^2 * y^3 * 3/8 * x * y^4

= 8 * 3/8 * x^2 * x * y^3 * y^4

= 3x^3y^7.

Answer:

3x^3y^7

Step-by-step explanation:

( 8 x^2 y^3) *( 3/8 x y^4)

Multiply the coefficients

8 * 3/8 = 3

Multiply the x terms

x^2*x = x^3

Multiply the y terms

y^3 * y^4 = y^(3+4) = y^7

Put them back together

3x^3y^7

find the probability of picking a red marble and a green marble when 2 marbles are picked (without replacement)from a bag containing 6 red and 6 green marbles.}

Answers

p = 6/11.

So we have a bag that contains 6 red marbles and 6 green marbles.

Then the total number of marbles that are in that bag is:

6 + 6  = 12

There are 12 marbles in the bag, and we assume that all marbles have the same probability of being randomly drawn.

Now we draw two marbles, we want to find the probability that one is red and the other is green.

The first marble that we draw does not matter, as we just want the second marble to be of the other color.

So, suppose we draw a green one in the first attempt.

Then in the second draw, we need to get a red one.

The probability of drawing a red one will be equal to the quotient between the red marbles in the bag (6) and the total number of marbles in the bag (12 - 1 = 11, because one green marble was drawn already)

Then the probability is:

p = 6/11.

Notice that would be the exact same case if the first marble was red.

Then we can conclude that the probability of getting two marbles of different colors is:

p = 6/11.

What is the equation of the line that passes through the points (–12, –8) and (–17, –16)?

Answers

Answer:

firstly find the gradient given by the equation

m=y2-y1/x2-x1

in this case x1 is -12,x2 is -17, y1 is -8 and y2 is-16

m=-16+8/-17+12

=-8/-5 or1.6

then use the equation

y-y1=m(x-x1)

y+8=1.6(x+12)

y+8=1.6x+19.2

y=1.6x+11.2

I hope this helps and sorry if it's wrong

One of the factors of x² + y² + 2xy - z² is ?​

Answers

Answer:

x + y + z.

Step-by-step explanation:

x² + y² + 2xy - z²

= (x + y)^2 - z^2

This is the difference between 2 squares so the factors are:

(x + y + z) and (a + y - z).

Answer: The factors are (x+y+z) and (x+y-z)

In other words, it factors to (x+y+z)*(x+y-z)

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

Work Shown:

[tex]x^2 + y^2 + 2xy - z^2\\\\(x^2 + 2xy + y^2) - z^2\\\\(x+y)^2 - z^2\\\\(x+y+z)(x+y-z)\\\\[/tex]

Notes:

In the third step, I used the rule (A+B)^2 = A^2+2AB+B^2. For this, A = x and B = y.In the last step, I used the difference of squares factoring rule A^2-B^2 = (A+B)(A-B). In this case, A = x+y and B = z.

If a ray bisects a right angle, then each newly formed angle measures 45 degrees.
A) Sometimes
B) Always
C) Never

Answers

B) Always!

This is because ‘bisect’ means to spilt exactly in half. If you split 90 degrees in half, you get 45 degrees.

Hope this helps!

Answer:

Always

Step-by-step explanation:

Bisects means to divide in half

90/2 = 45

So the angles are each 45 degrees

If m = 8 and n = 5, then m(n + 3) – n + 1 =

a. 60
b. 58
c. 39
d. 32

Answers

Answer:

Step-by-step explanation:

m(n + 3) - n + 1 =

m = 8 n = 5

8(5 + 3) - 5 + 1 =

40 + 24 - 5 + 1 =

64 - 5 + 1 =

59 + 1 =

60

PLZ HELP ME ASAP PLZZ

Answers

Answer:

helloo thereeee

we do such construction from a making bc arc then from b and c making x just when we need to make

Angle bisector

hope that helps ig :)

Find the missing probability of 3

Answers

All prob adds up to be 1, so 1 minus all the number under 0,1,2 you will get your answer.

Function f is graphed. According to the graph, is f even, odd, or neither?

Answers

Answer:

C

Step-by-step explanation:

f is neither even nor odd

simplify : 3p+2p+8-3=15​

Answers

Answer:

3p+2p+8-3=15

5p+5=15

5p=15-5

5p=10

p=10/5

p=2

have a great dayy.

Answer:

p = 2

Step-by-step explanation:

One is given the following equation:

3p + 2p + 8 - 3 = 15

Combine like terms. In essence, if two number have the same variable, then one can perform operations between their coefficients. If two number have no variables, then these two terms are also like terms. After combing like terms, simplify the expression.

3p + 2p + 8 - 3 = 15

5p + 8 - 3 = 15

5p + 5 = 15

Inverse operations,

5p + 5 = 15

5p = 10

p = 2

the Marked price of a book is rupees 500 if 30% discount is all over there in a loss of rupees hundred is made what is the cost price of the book​

Answers

Answer:

cost price of book is Rs. 570

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