Mathematics High School

Find the 75th term of the following arithmetic sequence.
6, 11, 16, 21,

Answers

Answer 1

Answer:

The 75th term in the sequence is 16

Step-by-step explanation:

The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value

In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.

To find the 75th term:

Multiply the number of terms by 0.75 (or 75%/100%) :

             0.75*4 terms= 3

Then, we find the value of the term that is at position 3 from the left (lowest number)

In this case, the term that is at the 3rd position from the left is 16

Thus, the 75th term in the sequence is 16

Related Questions

Overclocked Game Design is developing a new video game and wants to determine how large the rectangular map that constitutes the game world will be. They want the width of the map to be x miles and the length to be x+4 miles. Write an equation to represent the area A of the map.

- Select the equation that represents the area of the map in terms of x.
A)
A=x2


B)
A=2x+4


C)
A=4x2


D)
A=x(x+4)

Answers

Answer:

D)

A = x(x + 4)

Step-by-step explanation:

Area of a rectangular map = width × length

Length of the rectangular map = (x + 4) miles

Width of the rectangular map = x miles

Area of a rectangular map = width × length

= x(x + 4)

= x² + 4x

D)

A = x(x + 4)

Use elimination to solve this

Answers

The solution is (-7/2 , 3)

Explanation:
#1 : I eliminated the x value which will leave me with the y value.

#2: now that you have the y value,, to look for the x value, pick one equation from the equations given. (I used 2x + 4y = 5)

#3: now put your y value into the equation in order to get the x value. (2x + 4(3) = 5)

#4: now just solve for x.

HELP HELP HELP A triangle has two sides of length 14 and 18. What is the largest possible whole-number length for the third side?

Answers

The way you can do this is Pythagorean theorem. Since the hypotenuse has to be the highest part. So you would do 14^2 + 18^ = c^2 and then do that and you get 196 + 324 which is equal to 520 so then get the square root of that which is 22.8, but it says largest possible whole number length so you would put 22.

Answer:

22

Step-by-step explanation:

I added the numbers yw

what is the area of the semicircle?
69.08 mm²
150.72 mm²
189.97 mm²
I know it's not 138.16​

Answers

here's the link to the answer.. 69.08

To rent some equipment from a local hardware store, it costs $65 for 8 hours. To rent it for 12 hours, it costs $85. If the rate of change is constant, find the rate of change (cost per hour).

Answers

Answer:

it costs 7-8$ per hour

Step-by-step explanation:

the answer is estimated

A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).

Answers

Complete question :

A video game developer wants to know how long it takes people to finish playing their new game. They surveyed a random sample of 13 players and asked how long it took them (in minutes).

1235

952

457

1486

1759

1148

548

1037

1864

1245

976

866

1431

Estimate the median time it will take all players to finish this game.

Find the interquartile range for this sample.

Answer:

1148 ; 549.5

Step-by-step explanation:

The ordered data:

457, 548, 866, 952, 976, 1037, 1148, 1235, 1245, 1431, 1486, 1759, 1864

The median value :

1/2 * (n +1)th term

n = 13

1/2 * 14 = 7th term

Median = 1148

The interquartile range :

Q3 - Q1

Q3 = 3/4(n+1)th term

Q3 = 3/4 * 14th term

Q3 = 10.5 th term

Q3 = (10 + 11)th term

Q3 = (1431 +1486) / 2= 1458.5

Q1 = 1/4(n+1)th term

Q1 = 1/4 * 14th term

Q1 = 3.5 th term

Q1 = (3 + 4)th term

Q1 = (866+ 952) / 2= 909

IQR = 1458.5 - 909 = 549.5

Answer:

Median:1054 mins

IQR:751.5

Step-by-step explanation:

Write an inequality for this statement . ( you do not have to solve) Miguel is planning on going to the arcade with $17.60 in his pocket. It will cost him $8 to get there and get home by a taxi . If all games cost 25 cents . Write and solve an inequality to show the number of games he can play.

Answers

Answer:

8 + .25x < 17.60

Step-by-step explanation:

The inequality sign should be less or equal to 17.60, but I don't have that on my phone.

pls help solve this math problem​

Answers

Step-by-step explanation:

the answer is 3 following triangle law

Kamal makes $12.00 an hour at his job. Last week he earned $390. Write and solve an equation to determine how many hours Kamal worked last week. Enter the correct answers in the boxes.

Answers

about 32 hours last week

Uhm I also need help with this

Answers

Answer:

D. Perpendicular

Step-by-step explanation:

First answer A. Answer A is not even correct. Parallel are two or more lines that NEVER cross

Answer B is also not correct. Line segments are a line of specific length. These are two LINES. You can tell by the arrows on the edge of each line.

Both C and D can be correct. But the answer would be D. Here is why

Intersecting lines are two or more lines that cross. Yes these lines are crossing by perpendicular lines also cross. The difference is, intersecting lines can cross at any angle. Perpendicular lines have to cross at 90 degrees making 4 right corners.

I need help with this problem- please help me ;w;

NO BOTS

Answers

Answer:

A) Perimeter: 210

   Area: 2,516

B) Area

C) Perimeter

Hope this helps ya :3

Miranda sold movie DVD’s for $12 and television DVD’s for $9 and has collected $1167 from the sales of both. The number of movies sold is 4 less than 3 times the number of television shows. How many movie DVD’s were sold, and how many television DVD’s were sold?

Answers

Answer:

number of be television be 27 and  the number of movies would be 50

Step-by-step explanation:

The computation of the number of DVD sold and the number of television sold is shown below:

Let us assume the number of television be x

So, the number of movies would be (3x - 4)

Now according to the question the following equation is made

12(3x - 4) + 9x = $1167

36x - 48 + 9x = $1,167

45x = $1,215

x = 27

So, the number of be television be 27

And, the number of movies would be

= (3x - 4)

= 3(27) - 4

= 50

What is the area of the following composite figure?

60 cm 2
52 cm 2
44 cm 2
36 cm 2

Answers

Answer:

60 is the correct answer

Answer:

44

Step-by-step explanation:

I need help please quickly please

Answers

Answer:

Step-by-step explanation:

plug the equations into Desmos

as attached

y = -3x-6

x + 3y = 6

3y = -x +6

y = -1/3x +2

-3x-6 = -1/3x +2

-8/3x = 8

x = - 3

y=-3(-3)-6

y = 9-6

y = 3

PLEASES HELP
I need help on this question the screenshot are down below

Answers

Answer:

D would be the answer

Step-by-step explanation:

Which function represents the given graph?
O f(x) = 100 (3/5)^x
O f(x) = (100 ×3/5)^x
O f(x) = 100+ 3/5x
O f(x) = 100×(2/5)x​

Answers

Answer:

A. f(x) =  100 · (3/5)^x

Step-by-step explanation:

Answer: edge 2021

Step-by-step explanation:

help plz due 20 min ill give brainliest

Answers

Answer:

Given: BC || AD and AB || CD. Prove: AB = CD. Complete the ... 4. 5. △ABC ≅ △CDA. 5. 6. AB = CD. 6. ______ a) Transitive Property b) Given c) CPCTC.

Step-by-step explanation:

A rectangular portrait has an area of 40 square feet it's perimeter is 26 feet what are the dimensions of the portrait?

Answers

Answer:

Step-by-step explanation:

Portrait is in the shape of a rectangle.

And the area of a rectangle = Length × Width

Let the length of the portrait = l

And width of the portrait = w

Area of the portrait = lw

lw = 40

l = [tex]\frac{40}{w}[/tex]

Perimeter of a rectangle = 2(Length + width)

Perimeter of the portrait = 2(l + w)

26 = 2(l + w)

l + w = 13 ----------(2)

By substituting the value of 'l' in equation (1) from equation (2)

[tex]\frac{40}{w}+w=13[/tex]

40 + w² = 13w

w² - 13w + 40 = 0

w² - 8w - 5w + 40 = 0

w(w - 8) - 5(w - 8) = 0

(w - 5)(w - 8) = 0

w = 5, 8 feet

From equation (2)

l = 8, 5 feet

Therefore, dimensions of the portrait are (5 feet by 8 feet) Or (8 feet by 5 feet).

Show and explain how you would solve the following equation by graphing x - 2 = 5

Answers

Answer:

See below

Step-by-step explanation:

If you graphed x-2=5, you would see a vertical line crossing the point x=7, as shown in the graph because 7-2=5.

Carla faz sua salada de frutas para vender .Hoje ela comprou 3kg de laranja 2,5 kg de banana e 2,5kg de maçã e 1,8kg de mamão No total ,quantos quilogramas de fruta Carla comprou hoje ?

Answers

Answer:

9,8 kg

Step-by-step explanation:

3 kg + 2,5 kg + 2,5 kg + 1,8 kg = 9,8 kg

Answer: 9,8 kg

A pattern is made from four congruent squares.
The sides of the squares are parallel to the axes.
N
Point A has coordinates (3, 2)
YA
B (27, 30)
Point B has coordinates (27, 30)
Point C is marked on the diagram.
Work out the coordinates of C.

Answers

Answer:

(13, 16)

Step-by-step explanation:

Point A has coordinates (3,2) Point b has the coordinates (27,30)

Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit

The length of the square = 28 unit / 4 square = 7 unit

Also, half of the height of the diagram = 28/2 = 14 unit

Therefore the x coordinate is given by:

27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13

Also, the y coordinate is given by:

30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16

Therefore the coordinate for point C is given by (13, 16)

hope it help :)


choose the inequality that represents the following graph

A. x < 2

B. x ≤ 2

C. x > 2

D. x ≥ 2​

Answers

Answer:

b po ang tamang sagot

Step-by-step explanation:

i hope its help

Answer:

X > 2

Step-by-step explanation:

Value of x is greater than 2 and the circle is not filled. So.  x > 2

You want to wrap the box with a square piece of wrapping paper with a side length of 24 inches. Do you have enough paper to wrap the entire box? Explain.

Answers

Answer:

It depends on the size of the box

Step-by-step explanation:

Since the dimensions of the box are not included you can't answer the question

Identify the second quartile in the box-and-whiskers plot

The median of the data set is

(attached)
.

Answers

Answer:

The median is 58

Step-by-step explanation:

Answer:

The answer is 58

help me plzz please please​

Answers

Answer:

132 square feet

Step-by-step explanation:

a+b/2*h

20+24/2*6=132

If the slope is 3 and one ordered pair on the line is (2,9), what is the equation?

I'll give you brainliest if it's correct!

Answers

Answer:

y = 3x+3

Step-by-step explanation:

we can find the equation of the line with this formula:

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point and m the slope

so we have

y-9 = 3(x-2)

y = 3x-6+9

y = 3x + 3

Work out the temperature

Answers

Answer:

a) -4

b) 4

c)0

Step-by-step explanation:

a) It had fallen by 9 ,therefore it would be 5 -9 = -4

b)mode is the most repetitive number that is 4

c) the median is the middle value.First arrange the numbers orderly then get the odd number that is 0.

Find the surface area of each figure.

Answers

Answer:

1=21yds. 2.=16m 3.=16ft 4.=3cm

I need help please I’m stuck

Answers

Answer:

x + 90 + 63 = 180

Step-by-step explanation:

∠A + ∠B + 45 + 63 = 180     {Straight line angles}

From the figure we know that , ∠B + 45 = 90

Therefore, ∠A + 90 + 63 = 180

Answer:

Option B is correct.

Step-by-step explanation:

∠A = 27

27 + 90 + 63 = 180

you can see that square right. the square is 90.

Have a nice day!

I NEED HELPP PLS!!!!!!!!!!!!!!!!!!!

Answers

Answer:

270

Step-by-step explanation:

The formula for finding the area of a triangle is base · height ÷ 2, or [tex]\frac{bh}{2}[/tex]

After plugging in the numbers given to the formula, we find that the area of the triangle is 27.

Then to account for the length, we multiply the area of the triangle by 10.

This gets us to 270.

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