What is the 13th term of this arithmetic sequence? 132, 135, 138, 141, …

a 168
b 172
c 176
d 179

Step-by-step explanation:

1/a = 1/b + 1/c

Multiply both sides by a.

1 = a/b + a/c

Multiply both sides by b.

b = a + ab/c

Multiply both sides by c.

bc = ac + ab

Subtract ab from both sides.

bc − ab = ac

Factor b.

b (c − a) = ac

Divide both sides by c − a.

b = ac / (c − a)

Answer:

see below

Step-by-step explanation:

1/a = 1/b+1/c

Multiply each side of the equation by a

a( 1/a) =a( 1/b+1/c)

1 = a/b + a/c

Then multiply each side of the equation by b

b*1 =b( a/b + a/c)

b = a + ab/c

Then multiply each side of the equation by c

cb = c( a+ ab/c)

bc = ac + ab

We have gotten rid of the fractions

Now we can solve for a

Factor out a on the right side

bc = a( c+b)

Then divide by c+b on each side

bc / ( c+b) = a ( c+b) / ( c+b)

bc / ( c+b) = a

Now we can solve for b

bc = ac + ab

Subtract  ab from each side

bc -ab = ac + ab-ab

bc -ab = ac

Factor out b on the left side side

b( c-a) = ac

Then divide by c-a on each side

b( c-a) / ( c-a) = ac / ( c-a)

b  = ac/ ( c-a)

We can factor out -1

b = -ac/( a-c)

[tex] v = \sqrt{4900} + \sqrt{8100} = 70 + 90 = 160[/tex]

Answer: D. 160

Answer:

[tex]\boxed{x = 8}[/tex]

Step-by-step explanation:

For NO ║ KJ, The two triangles must be similar and their sides must be proportional.

So, the proportion of their sides is:

=> [tex]\frac{x-4}{x} = \frac{x-3}{x+2}[/tex]

Cross Multiplying

[tex]\sf x (x-3)= (x-4)(x+2)\\Multiplying\\x^2-3x = x^2+2x-4x-8\\x^2-3x = x^2-2x-8\\Subtracting\ x^2\ to \ both \ sides\\ -3x = -2x -8\\Adding \ 2x\ to\ both\ sides\\-3x+2x = -8\\-x = -8\\[/tex]

x = 8

So, For x = 8, NO will be parallel to KJ.

Answer:

shadow cow

Step-by-step explanation:

In new estimate cost of labor and material is 35,700 and 12,300 respectively.

Reduction Factor means the percentage obtained by dividing the Net Worth Shortfall Amount by the Required Net Worth Amount.

According to the question

A contractor originally estimated the total cost of a job including labor and materials at $ 57,000.

let  Labor cost = l

     Material cost = m

Now ,

l + m = 57000 ----------(1)

A new estimate of $ 48,000 is made, reducing the labor cost by 15% and the material cost by 18%.

i.e,

[tex]\frac{(100-15)}{100} l + \frac{(100-18)}{100} m = 48000[/tex]

[tex]\frac{(85)}{100} l + \frac{(82)}{100} m = 48000[/tex]

0.85l + 0.82m = 48000  --------------------------------(2)

multiplying equation (1) from 0.85

0.85l + 0.85m = 48450   -------------------------------(3)

subtracting equation (1) and (3)

0.85l + 0.85m = 48450

-0.85l -0.82m = -48000

0.03m=450

m = 15000 (old cost )

new cost of m is = 0.82 * 15000 =12,300

putting value of m in equation (1)

l + m = 57000

l + 15000 = 57000

l = 42000   (old cost)

new cost of l is = 0.85l  = 0.85*42000

new cost of l is =  35,700

Hence, The new cost of labor is 35,700 and new cost of material is 12,300 .

To know more about Reduction Factor here :

https://brainly.com/question/20887376

# SPJ2

Answer:

24.5 mpg

Step-by-step explanation:

(23,695 - 23,252) / 14 = 24.5mpg

Answer:

The car averaged a total of 24.5 miles per gallon between the two fillings

Step-by-step explanation:

Firstly, we calculate the difference between the mileages.

This will give us the total distance traveled.

That would be 23,695 - 23,352 = 343 miles

The tank capacity obviously is 14 gallons

So mathematically, miles per gallon averaged between the two fillings = distance traveled by the car/gallon of fuel used = 343/14 = 24.5 miles per gallon

Answer:

0

Step-by-step explanation:

An integer is colloquially defined as a number that can be written without a fractional component.

-3/4 ---- It is a fraction itself, so it is a fractional component

0 ---- Has no fractional component

2.3 Pi ---- Pi is irrational and is a decimal, so is 2.3. Most of this is a fractional component already.

The only one we can't eliminate using just the definition is 0.

Hope that helps, tell me if you need a further explanation

From the given numbers the number that is an integer is 0. The correct option is B.

An integer is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. The following numbers are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

Given the following numbers -(3/4), 0, 2.3, and π. Therefore, from the given numbers the number that is an integer is 0.

Hence, From the given numbers the number that is an integer is 0.

Learn more about Integers here:

https://brainly.com/question/15276410

#SPJ2

Answer:

15 feet

Step-by-step explanation:

We have 2 similar right triangles with legs height and length of shadows.

height of men : length of shadows of the man = height of tree : length of shadows of the tree

5 : 8 = x : 24

8x = 5* 24

x = 5*24/8 = 15 (feet)

Answer:

15ft

Step-by-step explanation:

5 ft  is to 8 ft

A ft is to  24 ft

A = 24*5/8

A = 15ft

15ft

Answer:

see below

Step-by-step explanation:

Addition and subtraction are both closed under polynomials.

That means that when we add and subtract polynomials, we will end up with a polynomial

f(x) + g(x) will =  always be a polynomial when we start with polynomials

f(x) - g(x) will =  always be a polynomial when we start with polynomials

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients.

[tex]f(x)[/tex] and [tex]g(x)[/tex] are polynomial functions.

Adding polynomials and subtracting polynomials is essentially combining like terms of polynomial expressions.

[tex]f(x)+g(x)[/tex] is always a polynomial

[tex]f(x)-g(x)[/tex] is always a polynomial

If you add, subtract or multiply any two polynomials then the result will be always a polynomial.

Answer:

Step-by-step explanation:

The average salary in this city is $45,600.

Using the formula

z score = x - u /(sd/√n)

Where x is 46,356, u is 45,600 sd is 15,930 and n is 53.

z = 46,356 - 45600 / (15930/√53)

z = 756/(15930/7.2801)

z = 756/(2188.1568)

z = 0.3455

To draw a conclusion, we have to determine the p value, at 0.05 level of significance for a two tailed test, the p value is 0.7297. The p value is higher than the significance level, thus we will fail to reject the null and can conclude that there is not enough statistical evidence to prove that the average is any different for single people.

Answer:

62

Step-by-step explanation:

180-116 makes us find out that angle C is 64, thus to find out the inner angles you gotta do 64+ (2x+4)+(3x-13)=180

You follow this operation, find out x and perform 3(25)-13, which ends up giving you 62

Answer:

62°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is not sharing a common side

2x + 4 + 3x - 13 = 116° add like terms

5x - 9 = 116°

5x = 125° divide both sides by 5

x = 25 and angle A is 3x - 13 so 3×25 - 13 = 62°

Answer:

The answer is d

Step-by-step explanation:

h(3.2) represents the height of the rock 3.2 seconds after it is propelled.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given a function,

h(t) = -16t² + 28t + 500

Here t represents the time after it is propelled.

h(t) represents the height of the rock t seconds after it is propelled.

So, h(3.2) represents the height of the rock 3.2 seconds after it is propelled.

Hence the correct option is D.

Learn more about Functions here :

https://brainly.com/question/29756932

#SPJ7

Answer:

Step-by-step explanation:

The surface area of a cone is:

● Sa = Pi*r^2 +Pi*r*l

r is the radius and l is the slant heigth

The diameter of this cone is 12 inches so the radius is 6 (12/2=6).

●Sa = Pi*36 +Pi*6*10

●Sa = 301.59 in^2

Answer:

pi (6) * 10+ pi ( 6)^2

Step-by-step explanation:

The surface area of a cone is given by

SA =  pi rl +pi r^2  where r is the radius and l is the slant height

We know the diameter is 12 so the radius is 12/2 = 6

SA =  pi (6) * 10+ pi ( 6)^2

Answer:

3 pairs

Step-by-step explanation:

Top and Bottom

Front and Back

Side and Side.

Cereal Boxes have 6 sides

Answer:

B. edge 2021

B. is correct for the next one too.

Step-by-step explanation:

B. is the correct answer for the first one
B. is also the correct answer for the second one

Answer:

Step-by-step explanation:

Permutation has to do with arrangement. If r objevt selected from n pool of objects are to be arranged in a straight line, this can be done in nPr number of ways.

nPr = n!/(n-r)!

If 5 people are to be chosen and arranged in a straight line, if there are 6 people to choose from, this can be done in  6P5 numbe of ways.

6P5 = 6!/(6-5)!

6P5 = 6!/1!

6P5 = 6*5*4*3*2*1

6P5  = 720 different ways

Answer:

Step-by-step explanation:

Set notation { } is used in this case, to represent the domain and the range.

The values that go into T are the domain while the values that come out of T are the range.

The domain comprises all x (independent) values while the range comprises all y (dependent) values.

This should be applied in the clear definition of the relation T.

Answer:

C. [tex] \frac{343}{18} pie [/tex]

Step-by-step explanation:

Given a circle of:

Radius (r) = 14

Measure of minor arc = 115°

We are required to find the length of DGE = length of major arc.

Length of arc is given as 2πr(θ/360)

Measure of the major arc DGE (θ) = 360 - 115 = 245°

Length of major arc DGE = [tex] 2*pie*14*\frac{245}{360} [/tex]

[tex] = 28*pie*\frac{49}{72} [/tex]

[tex] = \frac{28*49}{72} pie [/tex]

[tex] = \frac{7*49}{18} pie [/tex]

[tex] = \frac{343}{18} pie [/tex]

Length of arc DGE =

[tex] \frac{343}{18} pie [/tex]

ANSWER :

6i - (1-i)

Step - by - step explanation:

( 4 + 2i ) - ( 1 - i )

( 4 + 2 × i) - ( 1 - i )

( 6× i ) - ( 1 - i )

= 6i- (1-i)

Hope this helps and pls mark as brainliest :)

Answer:

Reject the null hypothesis

Step-by-step explanation:

The claim is H0:p=0.35 Ha:p>0.35

At a significance level of 0.05, if the p value observed is less than 0.05, then we reject the null hypothesis, but if the p value observed is greater than the null hypothesis, then we fail to reject the null hypothesis.

In this case study: the p value is 0.03 which is less than the significance level, this we will reject the null hypothesis and conclude that there is enough statistical evidence to prove that the proportion of snoring events compared to other events during a sleep study is more than 35%.

Answer:

what do you need help with its not really clear

Answer

1. 48 2. 308

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

If we call each team, A, B, C and D, each team has to play each other team once. Let's call each pairing between 2 teams the 2 teams' letters next to each other, e.g. AB is A playing against B. A has to play against B, C and D so we have AB, AC and AD. So we have 3 so far.

We have already counted that B is playing A but we haven't counted B playing C and D yet so we also have BC and BD. So we have 5 in total

Lastly, C needs to play D, we have already counted C playing B and C playing A so we have CD left. In total that gives 6.

Now we have already included D playing every other team so we don't include any other pairings.

In total, now every team has played every other team giving a total of 6.

(another way of solving this is doing "3!2 but if you haven't learnt factorials yet stick to the first method.

Answer:

6 games.

Step-by-step explanation:

The answer is the number of combinations of 2 from 4

= 4*3 / 2*1

= 6.

Answer:

9 and 18

Step-by-step explanation:

2x and x are the numbers

1/x-1/2x=1/18

2/2x-1/2x=1/18

1/2x=1/18

2x=18X=9,

2x=18

The two integers are 9 and 18

Answer:

Easiest way to do this is to get the X's on one side of the equals sign and the Y's on the other. Then, you can choose the one with the negative sign in it.

When you do that,

First one is 2x=0+y, or y = 2x

Second one is 2y=0+x, or 2y = x (weird right)

Third one is x=0+2y, or 2y = x (again, weird right)

Final one is 2y=0-x, or 2y = -x

The final one is the answer. Cheers, but don't forget to remember this for next time bro.

Answer:

$70.33

Step-by-step explanation:

sticker price = $93.78

discount coupon in percentage = 25%

Thus, discount will be 25% of sticker price

discount amount = 25% of  $93.78 = 25/100 *  $93.78 = $23.45

Thus, amount paid = sticker price - discount amount  =  $93.78-$23.45

amount paid = $70.33

actual cost to you will be what after discount applied is $70.33

Answer:

[tex]\boxed{\frac{x^2 }{8} }[/tex]

Step-by-step explanation:

The quotient is the result from division.

Let x be that number.

Division between x² and 8.

[tex]\frac{x^2 }{8}[/tex]

The algebraic expression representing the quotient of a number squared and eight is x²/8.

An algebraic expression is a combination of terms formed using mathematical operators (+, -, *, /). The terms are made by the combination of variables and constants.

In the question, we are asked to write an algebraic expression that represents the quotient of a number squared and eight.

We know that an algebraic expression constitutes both variables and constants.

We assume the number in the expression to be x.

The number squared is then represented by x².

The quotient of the number squared and eight can be represented as x²/8.

Therefore, the algebraic expression representing the quotient of a number squared and eight is x²/8.

Learn more about the algebraic expressions at

brainly.com/question/4344214

#SPJ2

Answer:

monomial

Step-by-step explanation:

Answer:

Step-by-step explanation:

Easy way to solve

5^4 = 625.

5^12=244140625.

Thus, 625m=244140625.

Divide both sides by 625/

m=390625, or 5^8.

Better way to solve

When dividing by exponents [tex]x^{4}/x^{2} =x^{4-2}=x^2[/tex]

Thus, simply do 12-4=8 to know that m=5^8.

Hope it helps <3

Answer:

Step-by-step explanation:

(5⁴)m = 5¹²

Divide both sides by 5⁴

((5⁴)m)/5⁴ = 5¹²/5⁴

m = 5⁸

Answer:

6.64 ft²

Step-by-step explanation:

Given the above triangle with 2 sides of lengths 3.2 ft and 4.7 ft respectively, and angle 62° in between, the following formula can be used to calculate the area: ½*a*b*sin(θ).

Thus, a and b are the 2 given sides and θ is the included angle in between both sides.

Therefore,

Area = ½*3.2*4.7*sin(62)

Area = ½*15.04*0.88295

Area = ½*13.279568

Area = 6.639784

Area = 6.64 ft² (to the nearest hundredth)