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


f(x) = 2x - 3 and f(x) = f'(x), find the value of x.​

Answers

Answer:

x=1

Step-by-step explanation:

According to your typed question,

f(x)=2x-3

Let f(x)=y

y=2x-3

Now,

Interchanging the positions of x and y

x=2y-3

x+3=2y

x+3/2=y

f'(x)=x+3/2

Then,

f(x)=f'(x)

2x-3=x+3/2

2(2x-3)=x+3

4x-3=x+3

4x-x=3+3

3x=3

x=3/3

x=1

According to your image question,

f(x)=x/2x-3

f(x)=f'(x)

Now,

Let y=f(x)

y=x/2x-3

y(2x-3)=x

2xy-3=x

2xy-x=3

x(2y-1)=3

2y-1=3x

2y=3x+1

y=3x+1/2

f'(x)=3x+1/2

Then,

f(x)=f'(x)

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

2x=6xsq+2x-9x+3

2x=6xsq+7x+3

solve for x ok

PLEASE HELP! I MARK YOU BRAINLEST!
Solve for unknown values.

X= degrees

Y= degrees

Answers

Answer:

X = 85°

Y = 45°

Step-by-step explanation:

95° + x = 180° [angles on a straight line]

x = 180° - 95°

x = 85°

50° + x + y = 180° [sum of angles in a triangle]

50° + 85° + y = 180°

135° + y = 180°

y = 180° - 135°

y = 45°

x=85.
It is complementary to 95 (add together to 180)

y= 180-50-85 = 45.
The sum of the interior angles of a triangle is 180.

What is the length of in the right triangle below?

Answers

Answer:

75

Step-by-step explanation:

root21² + root72²= 75

Simply combining like terms:21b-32+7b-20b​

Answers

Answer:

8b-32

Step-by-step explanation:

21b-32+7b-20b

=21b+7b-20b-32

=8b-32

R and E + reeeeeeeee

Answers

Answer:

reeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

What is the largest Angle of BCD?

Answers

Answer:

< C

Step-by-step explanation:

because 23 is the largest number on the triangle so the angle opposite of that side would be C

Find the measure of angle B

Answers

Answer:

64°

Step-by-step explanation:

Angles in a straight line add up to 180° so 180° - 116° = 64°

Hi I need help please.
If a rectangular model of a building with dimensions of 5x3x10 represents an actual building with a scale factor of 12, what are the dimensions of the actual building?

Answers

Answer:

60x36x120

Step-by-step explanation:

Because the scale factor is 1:12, you multiply the dimension of the building by 12.

5x + 10 = 30
HELPPPP

Answers

Answer:

4

Step-by-step explanation:

5x+10=30

   -10  -10

5x=20

(divide both sides by 5)

x=4

hope this helps

What is the similarity?

Answers

Answer:

The similarity ratio is 2 to 1

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Now, let us use the angle markings

We have it that;

RP/QR = VW/VX

4/8 = 1/2

1/2 = 1/2

helpppppp meeeeee!!!

Answers

The answer is A. -8 I got you!!!!!

I NEED HELP WITH THIS

Answers

Answer:

180-130=50°

Step-by-step explanation:

answer is 50degrees

The answer is 50 degrees

How can you tell which tape diagram you need

Answers

Answer:

i gave you an answer down below

Step-by-step explanation:

:)

helpppppppppppppppppppppppppppppppppp please!

Answers

Answer:

Answer: 7u - 63

Step-by-step explanation:

If the terms are different, and they are in this case, then the answer must be 2 terms separated by a minus sign.So write the minus sign first.    - Now 7 * u = 7u7 * 9 = 63Put the 7u on the left side of the minus.Put the 63 on the right side.7u - 63

Barium sulfate, BaSO4, is a white crystalline solid that is insoluble in water. It is used by doctors to diagnose problems with the digestive system. Barium hydroxide, Ba(OH)2, is also a white crystalline solid and is used in wastewater treatment.​​​​​​​ How many more oxygen atoms are represented in the formula for barium sulfate than in the formula for barium hydroxide?

Answers

Barium Sulfate, BaSO4, has 4 oxygen atoms
Barium Hydroxide, Ba(OH)2, has 2 oxygen atoms, as there are two oxygen atoms in Hydroxide (OH)2

There are 2 more oxygen atoms in Barium Sulfate (4-2)

Pls help meeeeeeeee will give BRAINLIEST

Answers

d.) 4r+13b+16

hope this helps. :)

i put the image of the question, PLS HELP

Answers

Answer:

A translation is when you move in a direction but the shape doesn't turn or change.

You translate an image by moving a shape in any direction without turning it for example: *draw a shape* then move it to anywhere but don't turn the shape.

An easy way of finding the new coordinates is just by looking to which respect it's too. For example when you do a respect to the y axis you keep the second number in the coordinate pair and change the first number's sign in the coordinate pair same to the x axis.

It depends on their sign. Change in x-coordinate. Change in y-coordinate. Right. Increases. No Change. Left. Decreases. No Change. Up. No Change. Increases. Down. No Change. Decreases .

We use vectors to represent a translation. Which means we need direction (up, down, left, or right) and magnitude (length of units).

A traffic light is green for 2 minutes, red for 40 seconds, and yellow for 10 seconds. When a car approaches the light, what is
the probability that it is not red?

Answers

here total second=170 second

probability that is not red=

[tex] \frac{12}{284} [/tex]

Step-by-step explanation:

i think that is the portability that is not red

The probability that the light is not red is 13/17

How to determine the probability?

The given parameters are:

Green = 2 minutes

Red = 40 seconds

Yellow = 10 seconds

Express green as seconds

Green = 120 seconds

The probability that the light is red is:

P(Red) =Red/Total

This gives

P(Red) = 40/(120 + 40 + 10)

Divide

P(Red) = 4/17

The probability that it is not red is:

P(Not Red) = 1 - P(Red)

This gives

P(Not Red) = 1 - 4/17

Subtract

P(Not Red) = 13/17

Hence, the probability that the light is not red is 13/17

Read more about probability at:

https://brainly.com/question/251701

What is the measure of the missing angle

Answers

Answer:

40 degrees!

Step-by-step explanation:

95 + 45 = 140

180 - 140 = 40

Add 5 and 14, triple the sum, and then add four-
fifths.

Answers

Answer:

57.8 or 57 and four fifths

Step-by-step explanation:

5+14=19

19*3=57

57+0.8= 57.8

PLZ HELP WILL GIVE BRAINLIST!!!

Answers

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Answer:

-1.56, -0.98, -0.13, -0.1, 0.5, 0.93

Step-by-step explanation:

solve the equation to find the value of t:
2.5t = 10

Answers

Answer:

t = 4

Step-by-step explanation:

divide 2.5 by itself to cancel and divide on the other side to get 4

You divide each term by 2.5 and simplify.

The answer is t = 4

company that manufactures a popular multivitamin wanted to determine whether their multivitamin had any side effects. For its initial study, the company chose 2000 individuals to take one of their multivitamin tablets per day for one year. Scientists from the company surveyed the participants to determine whether they had experienced any side effects. The greatest problem with this procedure is that A) only one brand of vitamin was tested B) the study lasted only one year C) the sample size was not large enough D) no control group was used

Answers

Answer:

Option D

Step-by-step explanation:

In this experiment, It would have been scientific to compare the result of the experiment on the experimental group(taking the multivitamin) with the control group (Taking no medicine)

Without a control group, a defined impact of multivitamin over the experimental group cannot be deduced.

Hence, option D is correct

please help and fast!

Answers

The first one 7x+15.50=100

A box has a square base with each side measuring 8 inches. The height of the box is 4 inches. What is the surface area of the box in cubic inches?

Answers

Answer:

The surface area should be 256 cubic inches

Step-by-step explanation:

The equation you use to find surface area is A=(wl+hl+hw)*2. The w stands for width (8) the l stands for length (8) and the h stands for height (4). When we put these numbers into the equation we get A=(8·8+4·8+4·8)*2. We do the multiplication first, then we add all of them up and times by 2; this gives us our answer of 256.

hope this helps:)

plz can i get brainliest.

help por favor and ill love you forever <33

Answers

Answer:

B

Step-by-step explanation:

the second option!

Answer:

It would be 360/n

Step-by-step explanation:

Every shape's exterior angles must combine to form a 360* shape (meaning "full-circle" even though they are not circles). So you must divide 360 by the number of angles a shape has.

Ex #1: A Square has four angles, so the equation to finding the degrees of each exterior angle is 360/4, which equals 90. So 90* per exterior angle.

Ex #2: A Decagon has 10 angles, so the equation to finding the degrees of each exterior angle is 360/10, which equals 36. So 36* per exterior angle.

Solve the system of equations using subtraction. Equation 1: 3x-2y= -2 Equation 2: 3x + y = 10 The solution is (? ,?) HURRY PLEASE!!!!

Answers

Answer:

the solution is x = 2 and y = 4 OR (2,4)

Step-by-step explanation:

From the question

Equation 1: 3x-2y= -2

Equation 2: 3x + y = 10

Subtract equation 1 from equation 2, that is

3x + y = 10 - (3x -2y = -2)

You get

3x - 3x + y - (-2y) = 10 - (-2)

0 + y + 2y = 10 + 2

3y = 12

Divide both sides by 3

∴ y = 12/3

y = 4

Substitute the value of y into equation 2 to get x

3x + y = 10

3x + 4 = 10

Then,

3x = 10 - 4

3x = 6

Divide both sides by 3

∴ x = 6/3

x = 2

Hence, the solution is x = 2 and y = 4

pls help i am confused no links

Answers

Answer:

x = 20

Step-by-step explanation:

These angles are equal to each other because they are vertical angles.

Hence, we can equal the two measurements together to solve for x:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

Check your work:

3(20) + 50 = 6(20) - 10

60 + 50 = 120 - 10

110 = 110

Correct

Help!

An airplane takes off at an angle of 15 degrees with the ground. To the nearest 10 feet, how far has the airplane flown when it has covered a horizontal distance of 1800 feet?

Answers

Answer:

1863.5 feets

Step-by-step explanation:

Using Trigonometry :

The distance, d in the attached diagram can be obtained using the trigonometric relation :

Cosθ = adjacent / hypotenus

Cos 15° = 1800 / d

0.9659258 = 1800 / d

0.9659258 * d = 1800

d = 1800 / 0.9659258

d = 1863.4971 feets

The distance covered to the nearest 10 feet = 1863.5 feets

Emma and her 3 friends were thirsty, so she shared One-half gallon of lemonade equally among 4 people. How much lemonade did each person get?

One-half divided by 4 =

Answers

Answer:

[tex]\frac{1}{8}[/tex] gallon per person

Answer:

yeah what mya said 1/8

Step-by-step explanation:

gl

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