Find the sum of -50 + (-44) + (-38) + ... + 2038 + 2044.

Answers

Answer 1

Answer:

3950

Step-by-step explanation:

-50 + (-44) + (-38) + 2038 + 2044

-94 +  (-38) + 2038 + 2044

-132 + 2038 + 2044

1906 + 2044

3950
Hope this helps :)

Answer 2

Solution:

348950

Explanation:

first lets confirm, which series this is from,

( first term + third term )/2 = second term

(-50 + (-38) )/2 = -44-44 = -44

Thus it is arithmetic series.

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

Solving step-wise:

a₁ = -50aₙ = 2044n = ? = 350d = + 6

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

aₙ  = a₁ + d(n-1)2044 = -50 + 6(n-1)6(n) - 6 = 20946(n) = 2100n = 350

Here,

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

[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]

[tex]\sf S_n =348950[/tex]


Related Questions

Work out
64.89
% of
407.68
cm
Give your answer rounded to 2 DP.

Answers

Answer:

264.54 cm

Step-by-step explanation:

64.89% x 407.68 cm

Multiplying

0.6489 x 407.68 cm264.543552 cm⇒ 264.54 cm

Amy has 5.26 more pounds of apples than Shelly. Shelly has 4.87 pounds of apples. How many pounds of apples does Amy have?​

Answers

Answer:

According to my calculation it came like this.Hope the picture will help you.

30. The surface area of a rectangular prism is
450 m2. What will be the new surface area if
all the dimensions are doubled?
A. 675 m2
B. 900 m2
C. 1,800 m2
D. 3,600 cm
hevolume of a

Answers

Answer:

1800 m²

Step-by-step explanation:

The surface area of a prism is the sum of the areas of its faces.

⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB)

⇒ Surface area of rectangle prism = 2(LH) + 2(BH) + 2(LB) = 450 m²

⇒ 2(LH + BH + LB) = 450 m²

Finding the surface area if the dimensions are doubled:

⇒ 2[(2L × 2H) + (2B × 2H) + (2L × 2B)]

⇒ 2[(4LH) + (4BH) + (4LB)]

⇒ 2[4LH + 4BH + 4LB]

⇒ 2[4(LH + BH + LB)]

⇒ 2[2 × 2(LH + BH + LB)]

⇒ 2[2(450)]                                                           [2(LH + BH + LB) = 450 m²]

⇒ 2[900]

1800 m² (Option C)

solve for X: x = −b ± √b²-4ac/2a

Answers

two correct answers :

x = -2c

or

x = -2b - 2c

Find m v I need help with these two questions

Answers

Answer:

Step-by-step explanation:-

15)

ABCD is quadrilateral

∠MBC+∠ABC=180°

∠ABC = [tex]\tt 180-71=109^o[/tex]

The sum of all angles of quadrilateral = 360°

[tex]\tt 10x+6+12x-2+8x-1+109=360^o[/tex]

[tex]\tt 31x+112=360[/tex]

[tex]\tt 31x+112-112=360-112[/tex] ( Subtract 112 from both sides)

[tex]\tt 31x=248[/tex]  (Simplify)

[tex]\tt \cfrac{31x}{31}=\cfrac{248}{31}[/tex] (Divide both sides by 21)

[tex]\tt x=8[/tex]

___

16) Find m∠v

The polygon has 6 sides

Sum of angles:- (6-2)=180= 720°

so,

[tex]\tt 90+9x-19+111+5x+8+128+7x+3=720[/tex]

[tex]\tt 2x+321=720[/tex]

[tex]\tt 21x+321-321=720-321[/tex] ( Subtract 321 from both sides)

[tex]\tt 21x=399[/tex] (Simplify)

[tex]\tt \cfrac{21x}{21}=\cfrac{399}{21}[/tex] ( Divide both sides by 21)

[tex]\tt x=19[/tex]

Therefore, m∠v=19

____

1534 divided by 26 what is the answer help me out.

Answers

Answer:

59

Step-by-step explanation:

1534/26=59

It's 59 because I used a calculator

why 2 is not a solution of x>5

Answers

Answer: That's because you have a greater than sign. And if you think about it 2 isn't greater than 5.

In contrast, if you'd had 2<5 (two is less than five) then you would be correct.

I hope this helps!

What is the area of the figure?

Answers

Area of one triangle=(4+1+1)*2*1/2
=6*2*1/2
=6cm^2
Area of two triangles=6*2=12cm^2

Area of the rectangle=4*11=44cm^2

Total area=44+12=56cm^2

Therefore answer is B

Work out size of angle x

Answers

Answer:

x=120°

Step-by-step explanation:

120×2=240

360-240=120

x=120

Answer:

Angle x = 120 Degrees

Step-by-step explanation:

Formula for finding out total interior angles in a polygon = (Number of sides - 2) x 180 Degrees

e.g. Triangle have 3 sides

3 - 2 = 1

1 X 180 = 180

A Triangle has a total of 180 Degrees

Total Interior angle of a hexagon = 720 Degrees

Interior angle of a regular hexagon is 720 / 6 = 120

360 Degrees in a circle

360 - 120 - 120 = 120

What's the area for ABC?

Answers

Answer:

14

Step-by-step explanation:

7(length) times 4(height) equals 28

28/2= 14

PLEASE PLEASE HELP ME

Answers

Go through second method

Area of one traingle'-

1/2(1.5)42(1.5)3cm²

Area of two triangles=6cm²

Area of rectangle

(15-4)(3)11(3)33cm²

Total:-

33+639cm²

Answer:

Method 1

Find the area of the rectangle, 45 cm².  Subtract the area of the cut-out triangle from the rectangle,  45 - 6 = 39 cm²

Method 2

Separate the ribbon into two triangles and a rectangle.

33 + 3 + 3 = 39 cm²

Step-by-step explanation:

Formulae

Area of a rectangle = width × lengthArea of a triangle = 1/2 × base × height

Method 1

Area of the rectangle:

= 3 × 15

= 45 cm²

Area of the cut-out triangle:

= 1/2 × 3 × 4

= 6 cm²

Find the area of the rectangle, 45 cm².  Subtract the area of the cut-out triangle from the rectangle,  45 - 6 = 39 cm²

Method 2

Area of the rectangle:

= 3 × (15 - 4)

= 3 × 11

= 33 cm²

Area of one triangle:

= 1/2 × (3 ÷ 2) × 4

= 3 cm²

Separate the ribbon into two triangles and a rectangle.

33 + 3 + 3 = 39 cm²

Please help with this its really hard :(

Answers

Answer:

24sq cm

Step-by-step explanation:

the measure of an angle is 65 what is the measure of its complementary angle

Answers

Answer:

25 degrees

Step-by-step explanation:

complementary angles are 90 degrees

90-65=25 degrees

A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other. How long is each piece?

Answers

Answer:

24 inches120 inches

Step-by-step explanation:

The lengths can be found by considering their ratio:

  short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

  1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

__

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

  s +5s = 144

  s = 144/6 = 24

  5s = 5(24) = 120

The lengths are 24 inches and 120 inches.

HELP 80 POINTS
Solve the right triangle.
Round your answers to the nearest tenth

Answers

answer:

A=46°

a=17.983 (tenths- 18, hundredths- 17.98)

b=17.366 (tenths- 17.4, hundredths- 17.37)


explanation:

1. find angle A

it shows that the angle corresponding with the side length of 25 is a right angle, meaning it's 90°. using that information and the angle given to us (44°), we're able to find the missing angle. since all the angles in a triangle always add up to 180°, we can add the two angles together and then subtract that from 180° to find the missing angle.

90°+44°=134°

180°-134°=46°

A=46°

2. find side a

using the law of cosines, we're able to find the length of side a. cosine of an angle equals [tex]\frac{adjacent}{hypotenuse}[/tex]. we'll be using angle B (44°) for our angle. after we plug in the values, we can just solve the equation to find side a.

cosine44°=[tex]\frac{a}{25}[/tex]
(multiply both sides by 25)

25cosine44°=a
a=17.983

3. find side b

finding the length of side b is very similar to how you found side a. you can use the law of cosines again (make sure you use the right side lengths and angles!), but i used the law of sines. the sine of an angle equals [tex]\frac{opposite}{hypotenuse}[/tex]. we're going to be using the same angle for this.

sine44°=[tex]\frac{b}{25}[/tex]

(multiply both sides by 25)

25sine44°=b

b=17.366

--

if this helped, please consider giving brainliest !

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

Answer:

It's the y-int.

Step-by-step explanation:

I can't really see the graph well

Step-by-step answer, please.

Answers

Answer:

-335670

Step-by-step explanation:

Given :

a₁ = 2[tex]a_{i} = a_{i-1}-3[/tex]

Solving :

Sum of an arithmetic sequence is given byS₃₃₅ = 335/2 x 2(2) + (335 - 1)(-3)S₃₃₅ = 335/2 x -4008S₃₃₅ = 335 x -2004S₃₃₅ = -335670

It forms a arithmetic sequence

First term=a=2Common difference=d=-3

So

a_335:-

a+334d2-(334)(3)2-1002-1000

So

S_n

n/2[a+l]335/2[2-1000]335/2[-998]335(-499)-167165

What is the area of a circle with a diameter of 4x?
(second question): how to deal with loss of a family member..
please help :)

Answers

Answer:4x^2 π

Step-by-step explanation:

Well to solve the area of a circle with diameter with 4x, you need to find the radius which is half the diameter so 4x / 2 = 2x. Then you subsitute that into πr^2 which is 2x^2 π = 4x^2π.I don't have any solution for your second question... sorry...

Hewo!

The answer to your first question: 4x^2 π

To your second..

First, im really sorry about your loss.. it will get better i promise.

But, i would suggest letting it all out. I know its hard right now, so let it out.Get a notebook and keep track of your feelings.. get better soon Lilo..

-Nat

-
- What is the value of the expression 1\3x (5 + 7 x 4) - 10?

Answers

Answer:

-10x + 11/x

Step-by-step explanation:

I think you mean to simplify

1/3x(5+(7)(4))-10

= -30x + 33/3x

= -10x + 11/x

A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.

A. 82 possible license plates
B. 67,600 possible license plates
C. 676,000 possible license plates
D. 36 possible license plates

Answers

C 676,000 license plates

please help me do this question in the screenshot. I will give you stars for it!​

Answers

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{10}{12}\times \dfrac{6}{9}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{5}{6}\times \dfrac{2}{3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{10}{18}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{5}{9}[/tex]

1. the height of a right triangular prism is inches. each side of the triangular base measures 10 inches, and the height of the base is inches. the triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube. what is the surface area of the solid formed?

Answers

The surface area of the solid formed by the triangular prism and cube will be 598.33 square inches.

What is a prism?

A prism is a closed solid that has two parallel bases connected by a rectangle surface.

The height of a right triangular prism is 11/6 inches.

Each side of the triangular base measures 10 inches, and the height of the base is 26/3 inches.

The triangular prism is placed at top of a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.

Then the surface area of the prism will be

[tex]\rm Surface \ area = 5 \times (10 \times 10) + 0.5 \times 10 \times \dfrac{26}{3} + 3 \times 10 \times \dfrac{11}{6}\\\\\\Surface \ area = 598.33\ in^2[/tex]

More about the prism link is given below.

https://brainly.com/question/12649592

Number 2. Please help!!!!!!!!

Answers

Answer:

[tex]\frac{x-3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{3x^2+6x-45}{3x^2+21x+30}[/tex]                   Rewrite

[tex]\frac{x^2+2x-15}{x^2+7x+10}[/tex]                      Factor out GCF (3)

[tex]\frac{x^2+5x-3x-15}{x^2+5x+2x+10}[/tex]                 Replace b with factors

[tex]\frac{(x-3)(x+5)}{(x+5)(x+2)}[/tex]                     Factor by grouping

[tex]\frac{x-3}{x+2}[/tex]                               Final answer

For a more detailed explanation, please look at the help image attached. It shows each step on how to factor polynomials.

I hope this helps!

Type the expression that
results from the following
series of steps:
Start with n, subtract 5,
multiply by 4, then add 7.

Answers

Answer:

I think it is (n - 5) x 4 - 7, but I am not sure.

50% OFF the original price! What was the original price of a gymnastics mat whose sale price is $93?

Answers

Answer:

186

Step-by-step explanation:

186-50%= 93 or since 50% is half off 93×2=186.

What is the measure?

Answers

Answer:

180 - 70 = 110 degrees

Step-by-step explanation:

180 is half a circle, so the half minus 70 is 110


Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use z = 3.14 in any formulas used.





Perimeter = 52.56 inches, Area = 162.24 square inches

Perimeter = 65.12 inches, Area
162.24 square inches

Perimeter = 46.28 inches, Area = 137.12 square inches

Perimeter = 52.56 inches, Area = 137.12 square inches

Answers

answer:

d

perimeter = 52.56 inches

area = 137.12 square inches

The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.

The composite shape with trapezium and semicircle is given.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

The total perimeter = Perimeter of trapezium + Circumference of semicircle

Perimeter of trapezium = (8+10+10+20)

= 48 inches

Circumference of semicircle =πr

Here radius=8/2

= 4 inches

Now, 3.14×4 =12.56 inches

The total perimeter = 48+12.56

= 60.56 inches

Total area= Area of trapezium + Area of semicircle

Area of trapezium =1/2 (a+b)×h

= 1/2 (20+8)×8

= 28×4

= 112 square inches

Area of semicircle =πr²/2

= (3.14×4²)/2

= 25.12

Total area= 112+25.12

= 137.12 square inches

The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ2

Find the value of x.
x=?​
please hurry I will mark brainliest if correct!

Answers

Answer: 45

Step-by-step explanation:

A right isosceles triangle can only ever have two equal sides, since he sum of the three angles of any triangle is equal to 180 degrees, do the quick math of 180 - 90 = 90, then 90/2 = 45. Both remaining angles of the triangle are 45 degrees, including x, and when you add all angles together 90 + 45 + 45 it equals 180 degrees.

100 points please help fast asap
Find the dimensions of the actual swimming pool.

A drawing plan includes a rectangular swimming pool with a length of 1/2 ft and a width of 1/4 ft. The actual pool will be enlarged by a scale factor of 80/1.

Answers

Answer:

length: 40, width: 20

Step-by-step explanation:

length = 1/2×80/1 = 40

width = 1/4 × 80/1 = 20

hope this helps =)

Using the following expression. Are there any values of x that makes the expression undefined? Explain your reasoning.

Answers

Answer

x=-2

Step-by-step explanation:

If x was equaled to -2 the outcome would be infinity, does this help at all?

Answer:

Step-by-step explanation:

Yes, there are certain values of x that makes given expression undefined in the set of real numbers.

x + 2 ≤ 0 ⇒ x ≤ - 2

If x ∈ ( - ∞ , - 2 ] , given expression is undefined.

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