Find n(A) for the set.
1) A = 200, 201,
202, ..., 2000)
A) n(A)= 1801
B) n(A)= 4
C) n(A)=2000

Answers

Answer 1

A=200,201,202.........,2000

Here, it forms an AP with common difference 1

Let the number of terms in the set be n

[tex] T_{n} = a+(n-1)d \\\\ 2000= 200+(n-1) \\\\ 200+n-1= 2000 \\\\ => n=2000-199= 1801[/tex]

Hence,n(A)=1801


Related Questions

Jensen has an above ground pool in the shape of a regular octagon. Opposite sides are 25 feet apart and each side is 10.4 feet long. It requires 7.5 gallons to fill one cubic foot. How much water is need to fill the pool with 3 feet of water.
A. 3900
B. 5850
C. 1560
D. 11700

Answers

Answer:

[tex]11700[/tex]

Step-by-step explanation:

The formula of a octagon is Area of octagon = 8(1/2 × b × h), which is 520ft.

520ft² × 3ft=1560

1 cubic ft takes 7.5 gallons to fill,

11700

whats the area of the shaded region

Answers

Answer:

36 meter square

Please mark my answer as brainliest for further answers:)

How many centimeters are equal to 9 meters?

Answers

Answer:

The correct answer is 900 centimeters.

Step-by-step explanation:

Hope this helped Mark BRAINLIEST!!!

Hey there!

Just simply multiply your given number by 100 and you will have your answer to the given equation

9 * 100 = 900

Answer: 900

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

If you have 14 feet of fencing, what are the areas of the different rectangles you could enclose with the fencing? Consider only whole number dimensions

Answers

Answer:

Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²

Step-by-step explanation:

Feets of fencing = 14

Perimeter = 14

Let x = Length y = width

Perimeter = 2(x + y)

For x = 1

2(1 + y) = 14

1 + y = 7

y =6

Area of rectangle ; x *y = 1 * 6 = 6 ft²

For x = 2

2(2 + y) = 14

2 + y = 7

y = 5

Area of rectangle ; x *y = 2 * 5 = 10 ft²

For x = 3

2(3 + y) = 14

3 + y = 7

y =4

Area of rectangle ; x *y = 3 * 4 = 12 ft²

For x = 4

2(1 + y) = 14

4 + y = 7

y = 3

Area of rectangle ; x *y = 4 * 3 =12 ft²

Hence, Area of rectangle possible. : 6ft² ; 10 ft², 12 ft²

Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?

Write your answer as a fraction or as a whole or mixed number.

Answers

sheeeesh i think the it’s 1/2 .2 in a meter of 55 6.789

Please Help Me!!! What is 81y + 54

Answers

Answer:

2

Step-by-step explanation:

y

Simplify the expression below.

4x+ 3(2x−1) − 4x

Answers

Answer:

=6x−3

Step-by-step explanation:

Let's simplify step-by-step

4x+3(2x−1)−4x

Distribute:

=4x+(3)(2x)+(3)(−1)+−4x

=4x+6x+−3+−4x

Combine Like Terms:

=4x+6x+−3+−4x

=(4x+6x+−4x)+(−3)

=6x+−3

Answer:

6x - 3

Step-by-step explanation:

4x + 3(2x - 1) - 4x

Distribute, multiply every term inside the parenthesis by the term outside of it,

4x + (3)(2x) + (3)(-1) - 4x

Simplify,

4x + 6x - 3 - 4x

Simplify further, combine like terms,

6x - 3

Meeta buys a ticket for the movie and a popcorn, which costs $6. She spends $16.50 in all. How much was the movie ticket?

Answers

Answer:

10.50

Step-by-step explanation:

16.50-6

In QRS the measure of S=90, the measure of Q=29 and SQ=5 feet. find the length of QR to the nearest tenth.r​

Answers

Answer:

QR ≈ 5.7 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QS}{QR}[/tex] = [tex]\frac{5}{QR}[/tex] ( multiply both sides by QR

QR × cos29° = 5 ( divide both sides by cos29° )

QR = [tex]\frac{5}{cos29}[/tex] ≈ 5.7 ( to the nearest tenth )

HELP HELP ASAP ASAP WILL MARK BRAINLIEST
ANSWER BOTH PLEASE EASY POINTS

Answers

Answer:

1.) Hypotenuse.

The hypotenuse is the longer side.

2.)Leg

Answer:

1.) Hypotenuse

2.) Leg

Step-by-step explanation:

The legs or bases of a triangle are the sides connected to the right angle.

The hypotenuse is the side across from the right angle and is always the longest side.

Please help me with this math problem

Answers

the answer would be 2/4

up
Write an equation for the translation of x2 + y2 = 49 by 3 units left and 4 units
O(x + 3)2 + (y + 4)2 = 49
O(x + 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y + 4)2 = 49

Answers

Answer: (x+3)^2+(y-4)^2=49

The answer is b :)

Step-by-step explanation:

7.73 , 5.4332 , 7.7 , 7.703 from least to greatest

Answers

Answer:

5.4332, 7.7, 7.03, and then 7.73

Answer: 5.4332, 7.7, 7.703, 7.73

!!PLEASE ANSWER QUICK
use the two way table to answer the question.

what percentage of students are studying spanish?

Answers

The answer is twenty-three percent (I had this question before)

Perimeter refers to the distance around 2-D figure and calculate perimeter, add the side lengths of the figure

True or false

Answers

Answer:

True

Step-by-step explanation:

The perimeter is the combined length of all the side lengths of a figure.

In the standard equation of a circle (x – h)2 + (y – k)2 = r2, h and k are...

Answers

Answer:

see explanation

Step-by-step explanation:

The standard form of the equation of a circle is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

You and your friend are standing back-to-back. Your friend runs 14 feet forward and then 7 feet right. At the same time, you run 10 feet forward and then 11 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?

Answers

Answer:

30.52 feet.

Step-by-step explanation:

Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system.

Please help!

Answers

Answer:

[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Step-by-step explanation:

The system of equation in matrix form is defined by following vector formula:

[tex]\vec A \cdot \vec x = \vec b[/tex] (1)

Where:

[tex]\vec A[/tex] - Matrix of coefficients.

[tex]\vec x[/tex] - Column vector of variables.

[tex]\vec b[/tex] - Column vector of results.

If we know that [tex]x + 2\cdot y = 0[/tex] and [tex]6\cdot x + 7\cdot y = -10[/tex], then the system of equations in matrix form is:

[tex]\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right][/tex], [tex]\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right][/tex], [tex]\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Then,

[tex]\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right][/tex]

Mary has $15.63 left in her wallet after spending $8.01 on snacks. How much did she have in her wallet before she bought the snacks? (Do not put the $ sign in your answer. Just type the amount without the $ sign.

Answers

$15.63 was left after she spent $8.01 on snacks. Do 15.63 + 8.01 which gives u 23.64, this is the amount Mary had before buying snacks

Question 1 of 20 Multiply. (4x - 5)^2
A. 16x2 - 25
B. 16x2 - 40x + 25
C. 16x2 + 20x + 25
D. 16x2 + 40x+ 25​

Answers

(4x - 5)^2
Multiply the equation by itself.
(4x - 5)(4x - 5)
Start by multiplying 4x by 4x.
Move on to multiplying 4x by -5.
Multiply -5 by 4x.
Multiply -5 by -5.
16x^2 - 20x - 20x + 25
Combine like terms.
16x^2 - 40x + 25

Answer: B

Answer:

B) 16x² - 40x + 25

Step-by-step explanation:

1) Use square differences: (a - b)² = a² - 2ab + b².

[tex](4x)^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

2)Use Multiplication Distributive Property: (xy)^a = x^a y^a.

[tex] {4}^{2} {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

3) Simplify 4² to 16.

[tex]16 {x}^{2} - 2 \times 4x \times 5 + {5}^{2} [/tex]

4) Simplify 5² to 25.

[tex]16 {x}^{2} - 2 \times 4x \times 5 + 25[/tex]

5) Simplify 2 × 4x × 5 to 40x.

[tex] {16x}^{2} - 40x + 25[/tex]

Thus, the Anwer is Option B) 16x² - 40x + 25 .

Pete pumps water into an empty pool. After 8 minutes, there are 40 gallons o water in the pool. Use the coordinate plane provided to plot two points that can be used to represent the relationship between time, x, and the total amount of water, y, in the pool. Select the places on the coordinate plane to plot the points​

Answers

Answer:

(2,10) (4,20) (6,30) (8, 40)

Step-by-step explanation:

every minute, the pool fills up with 5 gallons.

if you look at the points, you will see a pattern

here is a step by step example

Suppose your parents invest $25,000 in an account paying 7% compounded annually. What will be the balance after 8 years?

Answers

$25,000 x 7% = 1,750 in one year.
$1,750 x 8 years = $14,000

Am I right please tell me I really NEED IT

Answers

Answer:

it would 13

Step-by-step explanation:

19-6=13 there you go

Find equations of two lines that cross at the point (2,7) & explain how you got the answer

Answers

Is there like some kind of picture

A gift box has the shape of a cube. The box is 75 cm tall.

What is the volume of the box?
A.225 cm³
B.5625 cm³
C.33,750 cm³
D.421,875 cm³
plz explain how you got it-

Answers

I think the answers is C

An owner of a small store knows that in the last week 54 customers paid with cash, 42 paid with a debit card, and 153 paid with a credit card. Based on the number of customers from last week, which is closest to the probability that the next customer will pay with cash? (Round the answer to the nearest hundredth.)

Answers

Answer:

2268

Step-by-step explanation:

Do you know this??
I’m confused

Answers

Answer:

1: B

2: A

3: D

4: C

Step-by-step explanation:

In order to find the unit rate you have to divide the first number by the second number. You divide the first number because it is the gallons you are trying to find PER minute. In this case you are dealing with fractions which means you have to multiply the first number by the reciprocal of the second number.

Example 1:

3/4 ÷ 1/2

3/4 x 2/1

= 3/2

= 1 1/2

Example 2:

1 1/2 ÷ 1/2

3/2 ÷ 1/2

3/2 x 2/1

= 6/2

= 3

the rectangle below has a perimeter of 120 in right an equation to solve for x and then calculate the length and width of the rectangle.​

Answers

Answer:

I did what I can

Hope this helps :)

Can someone help me please

Answers

Answer:

It's 28

Step-by-step explanation

complete the tables of values

Answers

Answer:

a=0

b=-8

c=-16

d=0

e=-3

f=-6

Step-by-step explanation:

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