The tenth term of an arithmetic sequence is 73 2 , and the second term is 9 2 . Find the first term.

Answers

Answer 1

Answer:

1.2

Step-by-step explanation:

9.2 + 8d = 73.2

d = 8

then first term is   9.2 - d = 1.2

Answer 2

The first term of an arithmetic sequence is 1.2 with a common difference of 8.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

Tenth term of an arithmetic sequence = 73.2  or

a+(10-1)d = 73.2 ....(1)

Second term of an arithmetic sequence = 9.2 or

a+(2-1)d = 9.2 .....(2)

Where a is the first term and d is a common difference.

Solving equations (1) and (2)

From the equation (2) put the value of d in the equation (1), we get:

a+9(9.2-a) = 73.2

a+82.8 - 9a = 73.2

-8a = -9.6

a = 1.2

Thus, the first term of an arithmetic sequence is 1.2 with a common difference 8.

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Related Questions

Find the derivative of the following function at x = 12. f(x) = 7x2

Answers

[tex]\text{Given that,}\\\\f(x) = 7x^2\\\\f'(x) = 7\cdot 2 x = 14x\\\\\text{At x = 12,}\\\\f'(12) = 14 \times 12 = 168[/tex]

What is the perimeter? If necessary, round to the nearest tenth.

Answers

Answer:

180

Step-by-step explanation:

a^2 + b^2 = c^2

(18^2)+(80^2)=6724

square root of 6724 is 82

82+18+80 = 180

6. We want to build the smallest cube possible using bricks with dimensions 8 cm - 12 cm 20 cm. How many bricks do we need?​

Answers

Answer:

1200

Step-by-step explanation:

We’ll need a number that is evenly dividable by all three values: 8,12 & 15. We can develop the generic common multiple by multiplying all three numbers and get 1440. But is that the smallest common multiple? The quick and dirty way to factor the number is to divide it by it’s various elements and see what works. In this case 1440/12=120 which is the smallest common multiple of the three numbers. The smallest length is therefore 120.

In order to find how many bricks just divide (120x120x120)/(8x12x15)=1200 bricks

Study the following chemical equation. Identify the total number of atoms before and after the reaction. N₂ + 3H₂ → 2NH3​

Answers

Before reaction, total number of nitrogen atoms is 2, also the total hydrogen atoms is 6. After the reaction, still, we have the same number of nitrogen atoms as 2, and hydrogen atoms as 6. This therefore obeys the law of conservation of mass that during a chemical reaction, matter is neither created nor destroyed.

The new aircraft model has a passenger section that is 100 feet long. Using appropriate variables, write an equation expressing the relationship between the number of rows of seats on the airplane and the seat pitch. Assume that the seatbacks in the last row are flush against the wall

Answers

Answer:

16x257

Step-by-step explanation:this eqals that and stuff

Help please :)………………..

Answers

Answer:

umm i cant see it clearly you shoudl get new cheromebook

Step-by-step explanation:

um im in middle school

what is 2x - 3y + 5z, x = 5 , y = one third, z =3 what does it equal

Answers

Answer:

24

Step-by-step explanation:

substitute the given values into the expression

2x - 3y + 5z

= 2(5) - 3([tex]\frac{1}{3}[/tex] ) + 5(3)

= 10 - 1 + 15

= 9 + 15

= 24

When mixed together in varying degrees, the three primary additive colors, consisting of ________, can produce all the other colors in the spectrum.

Answers

Answer:

Red, Blue, Yellow

Step-by-step explanation:

The three primary colors are red, blue, and yellow.

please help asap il mark brainliest ​

Answers

Answer: Square is rhombus

Rectangle not rhombus

Last one rhombus

Step-by-step explanation:

They have to have parallel lines that never meet

All sides have to be the same size

I got the same question right to it should be right

1 fluid once is equivalent to?

Answers

proboley like 1/16 of a cup?

determinan MAtriks beikut! -10-311-39-301-20012-4

Answers

Answer:

-20677

Step-by-step explanation:

-23 . - 29 . -31

on monday lexi rode 3 miles on a bike on tuesday she rode 3 times more than she did monday on wednesday she rode an additional 4 miles

Answers

Answer:

Lexi rode a total of 13 miles in 3 days.

Step-by-step explanation:

3x3+4=13

Answer: The other answer is wrong it  Lexi road 16 miles and not  13

16 is rigth

The combined area of a square and a rectangle is 225 square yards. the length of the rectangle is 8 times the width of the rectangle and the length of a side of the square is the same as the width of the rectangle. find the dimensions of the square and the rectangle.

Answers

Answer:

The rectangle:  L = 40 yards.   W = 5 yards

The square: The length and width are both 5 yards.

Step-by-step explanation:

Let L and W be the length and width of the rectangle.

Let l and w be the length and width of the square.

Area for each is:

Rectangle:  L*W

Square:       l*w

We are told that L*W + l*w = 225 yards^2

We are also told that

L = 8W

and that

l = W

Since the sides of a square are all equal, w is also W:  w=W

Summarizing and substituting:

L*W + l*w = 225 yards^2

(8W)*W + W*W = 225 yards^2

8W^2 + W^2 = 225 yards^2

9W^2  = 225 yards^2

W^2 = 25

W = 5 feet

---------------------

Therefore, since L = 8W , L = 40 yards.   W = 5 yards for the rectangle.

The square:  l=W, so l = 5 yards, and thus w=5 yards

--------------------------

Check:

Do a rectangle of 40' x 5' plus a square of 5' x 5' have a total combined area of 225 yards^2?

40yd x 5yd + 5yd x 5yd = 225 yards^2?

200 yd^2 + 25 yd^2 = 225 yards^2?

YES

Ik this isn’t a math question but I just want to know how much is worth cause I think I got it like 10 years ago i don’t know I just forgot I had it

Answers

Answer:

well just look at the price tag it should cost the same price sense it was only about ten years ago its not like it is a thousand years old.

Show that KLPQ is a parallelogram

for m = 14 and n = 12. 5. .

L

(5m + 36)

P

(6n – 1)º

(4m + 50)

K

Answers

Step-by-step explanation:

m = 14, n = 12.5

m<L = (5m + 36)° = (5(14) + 36)°

L = 106°

m<p= (6n-1°)=(6x12.5-1°)

p=74°

m<Q = (4m + 50)° = (4(14) + 50)°

Q = 106°

k=360°-(106°+74+°106°)=360°-286°

k=74°

The sum of the interior angle of a parallelogram is 360°

The opposite side of a parallelogram are equal.

10. Hayden is comprising a statement with all his
financial assets and liabilities. The assets are shown
as a positive number, and the liabilities are shown as a
negative number. What is the balance of his savings
account?
ITEM
VALUE (S)
CHECKING ACCOUNT
$2,540
INVESTMENTS
$6,000
CREDIT-CARD DEBT
-$880
PERSONAL LOANS
-$ 1,500
SAVINGS
TOTAL NET WORTH $6,760
F. $1,260
H. $810
G. $1,680
J.)$600

Answers

The balance in Hayden's savings account is $600.

What is the balance of the savings account?

Net worth is total assets less liabilities. Assets are items owned by a person that creates benefits in the future to the person. Liabilities are what are owed to another person.

Net worth = assets - liabilities

6760 = (2540 + 6000 + savings)  - (880 + 1500)

6760 = 8540 + savings - 2380

Savings = 6760 - 8540 + 2380

Savings = $600

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a theater has 30 rows with 27 seats in the first row, 31 in the second row, 35 in the third row, and so forth. How many seats are in the theater

Answers

Answer:

Question relates to a Arithmetic Sequence {30,32,34...} where d = 2

and the terms are the enumber of seats in each row.

S%5Bn%5D=%28n%2F2%29%282%2Aa%5B1%5D%2B+%28n-1%29d%29  |Sum of the seats in the 26 rows.

S%5B26%5D=%2826%2F2%29%282%2A30%2B+%2825%292%29 = 1430 seats in the ALL 26 rows

Step-by-step explanation:

Evaluate if a = 28 and b = -3. a over 4 + b =

Answers

Answer:

28

Step-by-step explanation:

a / (4 + b)

(28) / (4 + -3)

(28) / (4 - 3)

(28) / (1)

28

what is the answer to this equation 4x + 5y =6

Answers

Answer:

Step-by-step explanation:

This equation has no solution. You have one equation with two variables, so it cannot be solved. If you have another equation having the same variables x and y, then by using simultaneous equations, values of x and y can be solved. But to this equation 4x + 5y = 6, there is no solution for the reason mentioned above.



Find the value of W

Answers

Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

[tex]sum \: of \: angles\: of \: a \: polygon \: = \\(n - 2) \times 180\degree[/tex]

in the question , we've been given a five sided figure , i.e. , a pentagon.

sum of angles of a pentagon = ( 5 - 2 ) × 180°

[tex]\implies \: 3 \times 180\degree \\ \implies \: 540\degree[/tex]

thus we can say that ,

angle sum property of pentagon states that the sum of all the angles of a pentagon equals 540°.

therefore ,

Step-by-step explanation:

[tex]125\degree + 117\degree + (x + 6)\degree + x + (x - 44)\degree = 540\degree \\ \\ 125\degree + 117\degree + x + 6\degree + x + x - 44\degree = 540\degree \\ \\ 204\degree + 3x = 540\degree \\ \\ 3x = 540\degree - 204\degree \\ \\ 3x = 336\degree \\ \\ x = \cancel\frac{336}{3} \\ \\ x = 112\degree[/tex]

hope helpful ~

[tex]{\huge{\fcolorbox{purple}{blue}{\red{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{yellow}{Answer}}}}}}}}}}}}}[/tex]

To find :-

The value of x in the angles of Pentagon

Given :-

Here we have been provided 5 angles in Pentagon

x°, (x - 44)°, (x + 6)°, 125°, and 117°

Solution :-

We will find the value of x with the angle sum property.

Now, we will find the sum of angles of Pentagon

there is a formula

(n - 2) × 180°

n = no. of sides of above shape

here n = 5

(5 - 2) × 180°

3 × 180° = 540°

Now will add the above given angle in the diagram and put equal to 540°.

x° + (x - 44)° + (x + 6)° + 125° + 117° = 540° (angle sum property)

[tex]3x + 204{\degree} = 540{\degree} \\ 3x = 540{\degree} -204{\degree} \\ 3x = 336{\degree} \\ x = \frac{336{\degree}}{3} \\ x = 112{\degree}[/tex]

x = 112°

further we will find further 2 angles related to x.

x - 44 = 112 - 44 = 68°

x + 6 = 112 + 6 = 118°

Result :-

The all angles of Pentagon are

125°, 117°, 118°, 112°, and 68°.

12 What is the solution to this equation?
-12x-7 = 53
Record your answer and fill in the bubbles on your answer document. Be sure to use the
correct place value.

Answers

Answer:

x=-5

Step-by-step explanation:

add 7 to 53 then divide -12 to itself and 60.

The table shows a linear function.

Answers

Answer:The slope of linear function is same for all pair of points on line.

Step-by-step explanation:

can someone please help me work out this question i really don't understand ​

Answers

Answer:

108 cm^2

Step-by-step explanation:

rectangle   + 2  triangle = total area

L x W          + 2    *  1/2 base * height   = total area

(5x12)          + 2    *  1/2 * 12 * 4    = total area

  60              +   48    = 108 cm^2

Answer:

108 cm²

Step-by-step explanation:

To do:

1. find area of rectangle      2. find area of triangles       3. add them together

area of a rectangle = bxh = 5x12 = 60

area of triangle = (bxh)/2 = (12x4)/2 = 24

60+24+24=108

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Determine which shape is formed by each cross-section shown.
trapezoid
rhombus
triangle
rectangle

Answers

Answer:  Top one is trapezoid, middle one is rectangle, bottom one is triangle

Step-by-step explanation:

I took the test and got them all right, so this one must also be right

The shape is formed by each cross-section shown is Top is a trapezoid, the middle is a rectangle, the bottom is a triangle.

What is geometry?

A branch of mathematics that offers the dimension, houses, and relationships of points, traces, angles, surfaces, and solids broadly: the take a look at houses of given elements that continue to be invariant beneath detailed ameliorations.

The definition of geometry is a department of math that makes a specialty of the measurement and courting of lines, angles, surfaces, solids, and points. An instance of geometry is the calculation of a triangle's angles.

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Solve for x.
X=?
5x-16 x+10

Answers

Answer:

The answer is x= 31

Step-by-step explanation:

(5x-16)+ (x+10)= 180 (Linear Pair)

Now, open the brackets

5x-16+x+10= 180

Arrange the like terms together

5x+x-16+10= 180

=> 6x-6= 180

=> 6x= 180+6

=> 6x= 186

=> x= 186/6 = 31

∴x= 31

Hope it helps!!


[tex]\bold{ANSWER:}[/tex]
x = 31

[tex]\bold{EXPLANATIONS:}[/tex]

An isosceles triangle has an angle that measures 120°. What measures are possible for the other two angles? Choose all that apply.

1) 10 Degrees
2) 30 Degrees
3) 120 Degrees
4) 70 Degrees

Answers

30 degree

The sum of isosceles triangle is 180 degree. And this triangle 2 sides have to be equal.
So one of our angle is 120 degree. Two angle will be 180-120 = 60 degree

Now one angle 60/2=30

If your quiz is out of 14 and you get 80 percent how many questions did you get wrong

Answers

Answer: 2.8

Step-by-step explanation: 80/100 of 14 = 11.2

Wrong = 14 - 11.2

Answer:

You got 11.2 questions right and 2.8 questions wrong.

Step-by-step explanation:

80% * 14 is 11.2

And 14-11.2 is 2.8

A 95 % confidence interval for the proportion of democrat voters in the State of Florida based on a poll is (0.34, 0.43). Based on this confidence interval, is it reasonable to claim that less than 45 % of Floridian voters are democrats

Answers

Answer:  Yes

Reason:

The confidence interval for the population proportion p is (0.34, 0.43)

This is equivalent to saying 0.34 < p < 0.43

We're 95% confident p is somewhere between 0.34 and 0.43

Both of these endpoints are smaller than 0.45, meaning that all of the proportions p in the interval are smaller than 0.45

So it's fairly reasonable to assume that less than 45% of the Floridian voters are democrats (since it seems to be between 34% and 43%). Keep in mind that there's always a margin of error with statistics, so we cannot say this with 100% certainty.

Yes, it is reasonable to claim that less than 45 % of Floridian voters are Democrats.

How to calculate a confidence interval for the population mean for a small sample?

If the sample size is given to be n < 30, then for finding the confidence interval for the mean of the population from this small sample, we use a t-statistic.

Let the sample mean given as[tex]\overline{x}[/tex] and

The sample standard deviation s, and

The sample size = n, and

The level of significance = [tex]\alpha[/tex]

Then, we get the confidence interval in between the limits

[tex]\overline{x} \pm t_{\alpha/2}\times \dfrac{s}{\sqrt{n}}[/tex]

where, [tex]t_{\alpha/2}[/tex] is the critical value of 't' that can be found online or from tabulated values of critical value for a specific level of significance and degree of freedom n - 1.

The confidence interval for the population proportion p is given as (0.34, 0.43)

This is equivalent to 0.34 < p < 0.43

We're 95% confident that p is somewhere between 0.34 and 0.43

Both of these endpoints are smaller than 0.45, seems that all of the proportions p in the interval are smaller than 0.45

So it's fairly reasonable to assume that less than 45% of the Floridian voters are Democrats. So there's always a margin of error with statistics, so we cannot say this with 100% certainty.

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answer you get points
Find the measure of the indicated angle to the nearest degree

Answers

the answer is 14.67639.. or to the nearest whole number 14°

Answer:

30

Step-by-step explanation:

I see that the square in the triangle is a right triangle, so it's automatically a 90 degrees. the triangle should add up to 180, so I figured that since we have 90, we just needed to find the other angles that help add up to that, which is 60 and 30

im sorry if im wrong

HELP FIND THE AREA OF PARRELLEGRAM

Answers

Answer:

36.36 in^2

Step-by-step explanation:

Base * height

7 * 6 sin 60  = 36.37 units^2

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