The arithmetic sequence ; is defined by the a i formula : a 1 =-4910 a i =a i-1 +8 Find the sum of the first 575 terms in the sequence.

Answers

Answer 1

Answer:

- 1,503,050

Step-by-step explanation:

Given that the sum of arithmetic sequence =

n/2[2a + (n-1)d]

Where;

n = 575

a = -4910

d = a i - a i-1  = 8

Substituting values;

575/2 [2(-4910) + (575 -1) 8]

575/2  [(-9820) + 4592]

=  - 1,503,050


Related Questions

why does a thick glass bottle crack when boiling water is suddenly poured inside it​

Answers

Answer:

The glass expands

Step-by-step explanation:

Molecules move faster and spread out more in high temperatures. In the tightly packed glass, they don't have much space to expand, so the glass cracks

Ill give brainilest, question is in the picture.

Answers

Step-by-step explanation:

1. true

2. false

3.true

4.false

5. ( may be false)

6 .(may be false)

1/2-1/6(4-1/3) simplify

Answers

Answer:

3 5/7

Step-by-step explanation:

evaluate the expression
I 13 I + I -2 I

Answers

Answer:

15

Step-by-step explanation:

Apply absolute rule: | a | = a, a ≥ 0

| 13 | = 13

= 13 + | -2 |

| -2 | = 2

= 13 + 2

= 15

Simplify please sorry last one(2y+1)^2-4y^2+2

Answers

4y^2+4x+1-4y^2+2
4y+1+2
4y+3

Pls help I need this answer asap I got 10 min left :(

Answers

Answer:

Step-by-step explanation:

A costume designer needs to make 12 costumes for the school play. Each costume requires 223 yards of fabric. How many yards of fabric does the costume designer need to make all the costumes?

Answers

Answer:

2676 yards

Step-by-step explanation:

12*223 is 2676

if each costume requires 223 yards then all you do is multiply the numbers

Q1. Prasha has five blocks of wood. The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each have a weight of 650 grams. Work out the weight, in grams, of the other block of wood.

Answers

Answer: Weight of the remaining block of wood =400g

Step-by-step explanation:

Total Weight of five(5) blocks = 3kg = 3000g

Weight of 4 out of the 5 blocks = 650x 4= 2600g

Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks

= 3000g-2600g

=400g

PLEASE HELP ILL MARK BRAINIEST

Answers

Answer:

(3,4)

Step-by-step explanation:

Select all the sets of side lengths that will make a triangular shelf fit in a 90 1 point
degree corner of a room.
3 cm, 4 cm, 5 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
6 cm, 8 cm, 10 cm
7 cm, 9 cm, 11 cm
This is Irequired question

PLEASE HELP AND LOOK AT MY OTHER RECENT QUESTIONS NOBODY EXCEPT A BOT IS ANSWERING 3

Answers

Answer is 7cm i think

Answer:

1. 6cm , 8cm , 10cm

2. 3cm , 4cm , 5cm

Step-by-step explanation:

A navy cruiser detects a nuclear submarine that is 2500 feet from the cruiser. The angle between the water level and the submarine is 15.5 degrees. How deep is the submarine?

Answers

Answer:

Depth of the submarine = 668.09 feet

Step-by-step explanation:

From the figure attached,

In triangle ABC,

Distance between a navy cruiser and a nuclear submarine = 2500 feet

Angle between the water level and the submarine = 15.5°

By applying sine rule in the given triangle,

sin(∠BAC)° = [tex]\frac{BC}{AC}[/tex]

sin(15.5°) = [tex]\frac{BC}{2500}[/tex]

BC = 2500[sin(15.5)]

BC = 668.09 feet

Therefore, submarine is 668.09 feet deep in the sea.

Question 1 (4 points)
Which statement is true?
F 21 and 22 are alternate interior angles.
G21 and 23 are corresponding angles.
H 23 and 26 are alternate exterior
angles.
J Z3 and 27 are same-side interior
angles.

Answers

it is G because they are corresponding :))))

Pls help this is due today I need help ASAP if its right i will give brainlest

Answers

Answer:

20.76 ✨

hope that helped!!!!

Answer:

i think it's $60.68

Step-by-step explanation:

if I'm wrong plz correct me

Cam used 2/3 of the flour from a 5-lb bag to make all of her holiday cookies. How much flour, in pounds, is left in the bag?

Answers

Answer:

3.3lbs

Step-by-step explanation:

5 x 2/3 = 3.3

The room can hold a maximum of 400 people. If there are already 134 people
there, how many more can come? Identify the inequality that represents this
situation.
A-x - 134 < 400

B-x + 134 < 400

C-x - 134 <400

D-x + 134 < 400

Answers

Answer:

x+ 134 is less than or equal to 400 is the answer

plzzzzzzzzzzzzz helpppp!!!!!!!!

Answers

Answer: 1. 34 degrees+34 degrees=68 180-68=112 so x=112 degrees

2. 84+22=106 180-106=74 so x=74 degrees

3. 126+20=146 180-146=34 so x=34 degrees

4. both angles on both sides are 40 so 40+40=80 180-80=100 so x=100 degrees

Step-by-step explanation: plz mark me brainliest [tap the crown on the bottom of an answer, if there isn't one then reload the page (there has to be 2 people who answered)]

Given cot A = 63/16 and that angle A is in Quadrant , find the exact value of sin A in simplest radical form using a rational denominator.

Answers

Answer:

sin(A) = 16*Cos(A)/63

Step-by-step explanation:

You didn't state what quadrant it was in.

The sine of angle A is 16 / 65

What is the sine of an angle?

In a right-angled triangle, the sine of an angle is equal to the ratio of the side opposite to the angle (also called perpendicular) and hypotenuse.

Give that, cot A = 63/16 and that angle A is in Quadrant, (refer to the figure attached)

Since, we know that, cotangent of an angle is ratio of adjacent side to opposite side.

Using Pythagoras theorem, we get,

63²+16² = 4255

√4225 = 65

Therefore, the hypotenuse = 65

sine of an angle = opposite side / hypotenuse

sinA = 16 / 65

Hence, the sine of angle A is 16 / 65

Learn more about sine of an angle, click;

https://brainly.com/question/3827723

#SPJ2

Please help me need help me please please help me

Answers

9514 1404 393

Answer:

  (3)  y = (x -3)²

Step-by-step explanation:

Try the first value of x in each function:

  (1)  y = 3² -3 ≠ 0

  (2)  y = (3 +3)² ≠ 0

  (3)  y = (3 -3)² = 0 . . . . . . matches the table value for f(3)

  (4)  y = 3² +3 ≠ 0

__

The only viable choice is (3).

HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!

Answers

If u want to show the (0,2) then this how u do it .

Angie scored 77 points on a test but only received a 35% grade on the test. How many points were possible on the test.

Answers

Answer:

77 is 35% of:  220

Step-by-step explanation:

Find the volume of a cone that has a radius of and a height of 1.

Answers

the volume of the cone would be 2.36 I hope this helps ❤️

Plz help I need it I don’t understand how to do these problems!

Answers

1. D. Rx9-5
2. B. F-5
3. B. Qx5+6
4. D. Tx3
5. B. Nx3+9

The mean number of books read
last year by a group of students is
normally distributed with a mean of 10
and a standard deviation of 6. If Austin
is 0.5 standard deviations below the mean
and Kaleigh is 2 standard deviations
above the mean, how many more books
did Kaleigh read than Austin?

Answers

Answer:

I thing Kaleigh read 1.5 more than Austin

Step-by-step explanation:

Write the center and radius for the following circles

Answers

Given:

The equations of circle are

4. [tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

5. [tex](x-1)^2+(y+2)^2=28[/tex]

6 .[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

To find:

The center and radius for the given circles.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where, [tex](h,k)[/tex] is center and [tex]r[/tex] is the radius of the circle.

4.

The equation of the circle is

[tex]\left(x+\dfrac{2}{3}\right)^2+(y+1)^2=24[/tex]

The standard form of this circle is

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(\sqrt{24})^2[/tex]

[tex]\left(x-(-\dfrac{2}{3})\right)^2+(y-(-1))^2=(2\sqrt{6})^2[/tex]

Therefore, the center of the circle is [tex]\left(-\dfrac{2}{3},-1\right)[/tex] and the radius of the circle is [tex]2\sqrt{6}[/tex].

5.

The equation of the circle is

[tex](x-1)^2+(y+2)^2=28[/tex]

The standard form of this circle is

[tex](x-1)^2+(y-(-2))^2=(\sqrt{28})^2[/tex]

[tex](x-1)^2+(y-(-2))^2=(2\sqrt{7})^2[/tex]

Therefore, the center of the circle is [tex]\left(1,-2\right)[/tex] and the radius of the circle is [tex]2\sqrt{7}[/tex].

6.

The equation of the circle is

[tex](x+12)^2+y^2=\dfrac{3}{64}[/tex]

The standard form of this circle is

[tex](x-(-12))^2+(y-0)^2=(\sqrt{\dfrac{3}{64}})^2[/tex]

[tex](x-(-12))^2+(y-0)^2=\dfrac{\sqrt{3}}{8}[/tex]

Therefore, the center of the circle is [tex]\left(-12,0\right)[/tex] and the radius of the circle is [tex]\dfrac{\sqrt{3}}{8}[/tex].

what is the radius of 28.26 cm

Answers

18.84

Hope this helps you!

Answer:

18.84

Step-by-step explanation:

$45.50, 15% markup what is the total

Answers

Answer:

$52.324

Step-by-step explanation:

Answer:
$52.324

That's all I know

Which of the lines below is perpendicular to y= -2/5
A.y=-5/2x-9
B.y=-2/5x+8
C.y=5/2x+1
D.y=2/5x-3

Answers

A had on a test and was right

If you can do this whole thing I will give you the brainliest JUST PLEASEE HELPPP MEEEE

Answers

Answer:

this hurts my brain x_x my non-existent brain....

i got you
1) Diameter = 16
Circumference = 50.25
Area = 200.96
2) Radius = 12
Circumference = 75.36
Area = 452.16
3) Diameter = 12
Circumference = 37.68
Area = 113.04
4) Radius = 3
Circumference = 18.84
Area = 28.26
5) Diameter = 28
Circumference = 87.92
Area = 615.44
6) Radius = 5
Circumference = 31.4
Area = 78.5
7) Radius = 16
Circumference = 100.48
A= 803.84
8) Diameter = 38
Circumference = 119.33
Area= 1133.54
9) Radius = 15
Circumference = 35.1
Area= 706.5

A TV has a listed price of $520,95 before tax. If the sales tax rate is 6.25%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary,

Answers

Answer: 6000,00

Step-by-step explanation:

Which number is IRRATIONAL

Answers

Answer:

A is 5, B is a irrational number because it doesn't terminate or repeat c is 7 and d is 8

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