Find the 66th term in the following
arithmetic sequence :
--92, -85, -78, -71, ...

Answers

Answer 1

Answer:

363

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 92 and d = - 85 - (- 92) = - 85 + 92 = 7 , thus

[tex]a_{66}[/tex] = - 92 + (65 × 7) = - 92 + 455 = 363

Answer 2

Answer:

363.

Step-by-step explanation:

We see that each term increases by 7.

This is an arithmetic sequence with first term (a1) = -92  and the common difference (d) is 7.

an = a1 + (n - 1)d

a66 = -92 + (66 - 1)7

= -92 + 455

= 363.


Related Questions

Math question down below

Answers

Answer:

E

E is the only one that ends with 70 and is also all multiples of 6.

If each quadrilateral below is a rectangle find the missing measure in #5

Answers

Answer:

What do you mean by #5?

Step-by-step explanation:

Jarods bicycle wheel has a diameter of 27 inches. How far will the wheel have traveled in one full rotation? Use 3.14 for pi

Answers

Answer:

84.78 in

Step-by-step explanation:

in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is  [tex]2*3.14*13.5[/tex] which equals 84.78  

What is the mean absolute deviation of this data set? 26, 31, 32, and 39

Answers

Answer:

3.5

Step-by-step explanation:

26, 31, 32, and 39

First we need to find the mean

(26+ 31+ 32+ 39) /4

128/4 = 32

The mean absolute deviation is sum of   the positive difference between the number and the mean  divided by the number of terms

((32-26)+ (32-31)+ (32-32)+ (39-32)) /4

14/4

3.5

Solve this brain teaser, please!!!

Answers

Answer:

0 in the end they all burn out

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?

Answers

Answer: 54.43

Step-by-step explanation:

381 / 7

What is the surface area of this design?

Answers

Answer:

440 inches squared - the last option

Step-by-step explanation:

Step 1. Surface area of top square.

5 x 5 = 25 inches sq

Step 2. Surface area of the 4 sides of the cuboid.

5 x 8 = 40 inches sq

40 x 4 = 160 inches sq

Step 3. Surface area of the large square.

10 x 10 = 100 inches sq

100 - 25 (because it's being covered) = 75 inches sq

Step 4. Surface area of the 4 sides of the large flat cuboid.

2 x 10 = 20 inches sq

20 x 4 = 80 inches sq

Step 5. (OPTIONAL) Surface area of the bottom

10 x 10 = 100 inches sq

Step 6. Add up all.

25 + 160 + 75 + 80 (+ 100 if including the base) = 340

We can conclude that we have to include the base as well because 340 inches sq is not an option listed.

340 + 100 = 440 inches sq

440 inches sq is the last option

Hope this helps :)

Which number sentence is true?
A. 78 = 68
B. 78 < 69
C. 78 = 75
D. 78 < 81
E. 78 > 84​

Answers

Answer: the answer choice “d” is correct

Step-by-step explanation:

because the different symbols mean different things and yeah

Answer:

D

Step-by-step explanation:

lesser value -------    < --------This side bigger value {open mouth}

78 < 81

81 is bigger than 78

HELP ASAP 30 POINTS!~!!!


You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?

Answers

I got 536870912 hope this helps

Yehudy invested $19.250 in a simple interest account. After 6 years and no additional deposits or withdrawals, the account balance was
$22.957.55. Find the interest rate for the account. Round to the nearest hundredth of a percent if needed

Answers

Answer: 3.21%

Step-by-step explanation:

Interest = (1/t)(A/P - 1)

help me with this please I don't exactly get it

Answers

Answer:

P = 40.56 in (ANS)

Step-by-step explanation:

radius = 8/2 = 4 in

semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in

figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)

What is the value of x in the figure? Enter your answer in the box.
HELP IMMEDIATELY!

Answers

Answer:

Step-by-step explanation:

145 = 2x + 15

2x = 130

x = 65 (ANS)

Answer:

65º

Step-by-step explanation:

145º = (2x + 15)º

145º = (2x + 15)º

145º - 15º = 2xº + 15º - 15º

130º = (2x)º

x = 65º

The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, median, or mode and give its value.



C.) Which value would Cathy NOT tell her parents to convince them that she needs an increase in her allowance?



{I only need help on part C}

Answers

Answer:

The mean value = $80.5

Step-by-step explanation:

The value of her last six spendings are $109, $72, $99, $15, $99, and $89.

For the mean.

Mean = Total spendings/number

Mean =483/6

Mean = $80.5

For the median.

Lets arrange it in ascending order

$15 ,$72, $89, $99, $99, $109

The middle values are two.

Median = (89+99)/2

Median = 188/2

Median = $94

For the mode

$15 ,$72, $89, $99, $99, $109

Highest occuring is $99 with two frequencies.

To convince her parents that she needs an increase in allowance she would show them the bigger spendings .

So the least value on the list it's mean value which is $80.5.

A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?


31.4 inches

62.8 inches

314 inches

1256 inches

Answers

Answer:B

Step-by-step explanation:

c=2nr  or c=nd

2*3.14 * 10= 62.8

3.14 * 20= 62.8

The circumference of the tires is 62.8 inches.

What is Circumference?

Circumference of a circle is defined for non straight curves which is the length of the boundary of the curve.

Given that, a 20-inch bicycle has tires with a diameter of 20 inches.

Diameter of the tire = 20 inches.

Radius of a circle or a circular object is half of the diameter of it.

Radius of the tire = 20 / 2 = 10 inches

Circumference of a circular object = 2πr, r is the radius.

Circumference of the tire = 2π r

                                          = 2 (3.14) (10)

                                          = 62.8 inches

Hence the circumference of a bicycle tire is 62.8 inches.

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Solve by completing the square:
x2 + 3x – 9 = 0

Answers

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

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What if the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

This is a right triangle with hypotenuse x

We can use the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = x^2

9+16= x^2

25=x^2

Take the square root of each side

sqrt(25) = sqrt(x^2)

5 = x

wil give bianleast
What are the first four terms in the multiplication pattern given by the formula: 2 • 4n?


8, 32, 128, 512


8, 32, 64, 512


2, 8, 32, 128,


32, 128, 512, 2048

Answers

Answer: B, but technically, all of them are correct except C.

Step-by-step explanation:

First, you fill in 1 for n:

= 2 x 4(1)

= 2 x 4

= 8

Next, I filled in 4 for n:

= 2 x 4(4)

= 2 x 16

= 32

Then, I filled in 8 for n:

= 2 x 4(8)

= 2 x 32

= 64

You can already figure this one out, and the answer is B.

Answer:

all are correct except the third choice.

i just need the work for 11 & 12. i know the answer for 11 is (16,4) and 12 is (5,7) but i don’t know how to work it out to get those answers. (solving a system of linear equations)

Answers

Answer:

Step-by-step explanation:let x be the number of bicycles,

let y be the number of tricycles

given x+y=20→equation 1

also given 2x+3y=44→equation 2

from eq 1, y=20-x

substitudin ineq 2

2x+3(20-x)=44

2x+60-3x=44

60-x=44

-x=44-60

=-16

x=+16

then y=20-16=4

no of bicycles=16

no of tricycles=4

hope this helps

plzz mark me brainliest

What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)

Answers

The value of the expression using BODMAS rule is 9.

What is simplification?

To simplify the arithmetic expression involving more operators, we need to  use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.

For the given situation,

The values are c = -4, d = 10

The expression is 1/4(c^3+d^2)

Substitute the above values,

⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]

⇒ [tex]\frac{1}{4}(-64+100)[/tex]

⇒ [tex]\frac{1}{4}(36)[/tex]

⇒ [tex]9[/tex]

Hence we can conclude that the value of the expression using BODMAS rule is 9.

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Answer: 9

Step-by-step explanation:no clue how I got it but the test marked it correct

How to change miles per hour to feet per second?

Answers

Answer:

1 mph = 1.46666667  fps

49 increased by twice a number m

Answers

Answer:

The third one I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First -> twice m is -> 2m

Then

49 increased so -> 49+2m

Brainliest and 10 points for answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How do you find the x- and y-intercepts of an equation?

A) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for x.

B) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for y.

C) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for x.

D) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for y.

Answers

Answer:

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

Answer:

C

Step-by-step explanation:

A, B, and D don't make sense

What type of function is represented?

Answers

Answer:

b

Step-by-step explanation:

ITS B NOT C ITS B ITS B ITS B.

Complete 4 A,B 9 for points.

Answers

Answer:

R = (1/t) (A/P - 1)

T = (1/r) (A/P - 1)

1 point
The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.
What is the probability that it rains on BOTH Monday and Tuesday?
Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).
Type your answer...

Answers

Answer:

0.03

Step-by-step explanation:

Given data

Probability that it will rain on Sunday= 0.7

Probability that it will rain on Monday = 0.2

Firstly we need to solve for the probability that it will rain on Tuesday

Sample space S = number of week days = 7

Probability that I will rain on Tuesday = 1/7= 0.14

Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028

Rounding up the nearest hundredths = 0.03

What is the value of b? -8/5b = 8

Answers

Answer:

-0.2 or -2/10

Step-by-step explanation:

hope this helps

How many servings of
cups are in 33 cups of ice cream?

Answers

Answer:

I am 99% sure its 33 servings

Step-by-step explanation:

because the question says that "how many servings of cups are in 33 cups".

(hopefully im right) and HOPEFULLY THIS HELPS. : )

Twenty people apply for an open position at an accountant's office. The distribution of ages of the applicants is shown in the box plot.

Distribution of Applicant's Ages

How many of


age in years

the applicants have ages that fall within the box of the box plot?


Please help!!!!

Answers

Answer:

The number of applicants that have ages that fall within the box of the boxplot = 10.

Step-by-step explanation:

box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The boxplot usually consists of a box and a whisker plot.

The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.

The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.

Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.

The total number of applicants = 20

50% of 20 = 10.

Hence, the number of applicants that have ages that fall within the box of the boxplot = 10

Hope this Helps!!!

Can someone explain this step by step

Answers

Answer:

Step-by-step explanation:

[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]

Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect

Answers

Answer:

[tex]n > 1[/tex]

Step-by-step explanation:

Given

Statement: 4x n is greater than 4

Required

Value of n

First we need to rewrite the statement in algebraic form;

Product 4 * n is represented by 4n

greater than 4 is represented by > 4

Bringing these two together, it gives the following

[tex]4n > 4[/tex]

Divide through by 4

[tex]\frac{4n}{4} > \frac{4}{4}[/tex]

[tex]n > 1[/tex]

We've arrive at solution;

This means that n is greater than 1

So, the values of n must start from 2 to show that the condition is true

The value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have n as a number.

4n > 4

Plug n = 5

20 > 4 (true)

Plug n = 9/5

36/4 > 4

9 > 4 (true)

Plug n = 3

12 > 4 (true)

Plug n = 7/8

28/8 > 4

3.5 > 4  (false)

Thus, the value of n = 7/8 makes the inequality 4n > 4 false because 7/8 is less than 1.

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