The whole number m is a term in an arithmetic sequence with common difference 2. Show that the sum of the term m and the next two terms is a multiple of 3, no matter what the value of m. ​

Answers

Answer 1

Answer:

S

ThenSn=n(a1+an)2Sn=n(a1 + an)2 , where nn is the number of terms, a1a1 is the first term and anan is the last term. The sum of the first nn terms of an arithmetic sequence is called an arithmetic series .

Step-by-step explanation:


Related Questions

HELP ME OUTT PPL (BRAINIEST)

Answers

Answer:

(0, 6)

Step-by-step explanation:

Point T is at (3, 4), and three units to the left would be (0, 4). They then tell us to go two points up, which would change the ordered pair to (0, 6).

I hope this was helpful! Have a lovely day! :D

3.) Given the graph of the line represented by the equation f(x) = -3x + b,
if b is decreased by 5 units, the graph of the new line would be shifted 5 units
1) right
2) up
3) left
4)down

Answers

Answer: (4)

Step-by-step explanation:

Rewrite 4 x 6 2/3 as the product of a unit fraction and a whole number

Answers

Answer:

The whole number : 3

Fraction : 2/8

I'm pretty sure this is correct

6x + y=4x+ 11y, write a formula for h(x) in terms of x

Answers

Answer:

[tex]h(x)=\frac{1}{5}x[/tex]

Step-by-step explanation:

To write a formula for a function, such as h(x), you need to solve for y.

[tex]6x+y=4x+11y[/tex]
[tex]-4x[/tex]      [tex]-4x[/tex]
[tex]2x+y=11y[/tex]
    [tex]-y[/tex]       [tex]-y[/tex]
[tex]2x=10y[/tex]
[tex]/10[/tex]   [tex]/10[/tex]
[tex]\frac{2}{10}x=y[/tex]
[tex]y=\frac{1}{5}x[/tex]

y and h(x) mean the same thing, so you can subsitute h(x) for y in order to fit the question.

Therefore, [tex]h(x)=\frac{1}{5}x[/tex]

Q
Match the definition on the left to its corresponding geometric figure on the right
A zero-dimensional object that defines a specific location on a plane
A one-dimensional figure, which extends without end in two
directions
A finite section of a line between any two points that lie on the line
A half-line that begins at one point and goes on forever in one
R
direction
A two-dimensional surface that continues infinitely

Answers

Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot.

What is a geometric figure?

A geometric figure can be defined as the forms of different dimensional objects that are formed through a combination of lines, planes or points.

In Geometry, the following terminologies and definitions are used to describe a geometric figure:

Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot. ⇒Image 4.Line: is a one-dimensional figure which extends without end in two (2) directions. ⇒Image 5.Line segment: is a finite section of a line that exist between any two (2) points that lie on the line. ⇒Image 1.Ray: is a half-line that starts at one (1) point and goes on infinitely (forever) in one (1) direction. ⇒Image 3.Plane: is a two-dimensional surface that continues infinitely (forever). ⇒Image 2.

Read more on lines here: https://brainly.com/question/1655368

1 point
Item at position 12
Find x and the measure of angle P.

x =
Question Blank 1 of 2
type your answer...
,
angle P =
Question Blank 2 of 2
type your answer...
degrees

Answers

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all angles of triangle is 180

∠P + ∠Q + ∠R = 180

10x - 4  +4x - 22 + x +11 = 180

10x + 4x + x - 4 - 22 + 11 = 180

Combine like terms,

              15x  - 15 = 180

Add 15 to both sides

                     15x = 180 + 15

                     15x = 195

Divide both sides by 15

                         x = 195/15

x = 13

∠P = 10x - 4

     = 10*13 - 4

      = 130 -4

∠p = 126°

what is the answer to this equation help please 25x10x^{6}[/tex]

Answers

Answer:

I don't know answer It By Your Self

Find the surface area of the prism.

Answers

Answer:

158 in²

Step-by-step explanation:

Surface area of a rectangular prism:

2(lw + lh + wh), where w is the width, l is the length and h is the height.

= 2((8 x 5) + (8 x 3) + (5 x 3))

= 2(40 + 24 + 15)

= 2(79)

= 158 in²

You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?

I NEED THIS ANSWER ASAP!!

Answers

Answer:

20+5(x-2) im pretty sure

Step-by-step explanation:

HELP ASAP 20 BRAINLY POINT PLUS USER HELPPP ​

Answers

Answer:

A

Step-by-step explanation:

(m / 3) = (12 / 3) = 4

1/2 x 4 = 2

2 + n = 2 + 3/5 = 2 and 3/5 = 13/5

Answer:

13/5

Step-by-step explanation:

two sides of a parallelogram are 5.8m and 8.2m long. Find the perimeter​

Answers

Answer:

5.8+5.8+8.2+8.2=28m

Step-by-step explanation:

If you want to find the PERIMETER  you just need to add up the length of all of the sides. No multiplication needed. Just add the numbers. Don’t forget that there are multiple sides so even though only two are labeled dont forget to add every single side that the shape has.

[90 POINTS] An air conditioning system needed for a new warehouse is built in the shape of a rectangular prism. The warehouse is 250 feet long, 125 feet wide, and 22 feet high. A one-ton air conditioning unit can cool 12,000 cubic feet.
What is the volume of the warehouse, and what size air conditioner is needed?

Answers

Answer:

The warehouse has 31,250 cubic feet of space.

The air conditioner has to be at least 55 tons.

Answer:

687,500 for first blank

60 tons for second blank

Step-by-step explanation:

It is correct on edmentum

Which of the following is the correct factorization of the polynomial below?

2x^2 - 12x + 18

A. 2(x - 3)^2

B. 2(x + 6)(x + 3)

C. (2x + 6)(x + 3)

D. The polynomial is irreducible.

Answers

Use Factor

A is the answer

BRAINLIEST GIVEN)The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?



Enter your answer in the box.

Answers

Answer:

238

Step-by-step explanation:

You have to find the area for each box and then you add all of them together

Answer:

238 mm²

Surface area of rectangular prsim = 2(lw + lh + wh)

Here,

length = 11 mm

width = 4 mm

height = 5 mm

area:

2*(4*11+5*11+5*4)238 mm²

in 1977, Pistol Pete Maravich led the NBA with 2273 points. In 2006, Kobe Bryant led the NBA with 2832 points. However, there were many differences between basketball in 1977 and basketball in 2006, including the number of teams and possibility of a three-point shot. The mean number of points for the top 110 players in 1977 was 1198 points with a standard deviation of 379 points. The mean nimber of yards for the top 150 players in 2006 was 1123 points with a standard deviation of 433 points. Who had the better performance, Maravich or Bryant? Explain your reasoning.

Answers

Using z-scores, it is found that due to the higher z-score, Bryant had the better performance.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The above bullet point means that higher z-scores mean a better performance.

For Maravich, we have that the parameters are [tex]X = 2273, \mu = 1198, \sigma = 379[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2273 - 1198}{379}[/tex]

Z = 2.84.

For Bryant, we have that the parameters are [tex]X = 2832, \mu = 1123, \sigma = 433[/tex], hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2832 - 1123}{433}[/tex]

Z = 3.95.

Due to the higher z-score, Bryant had the better performance.

More can be learned about z-scores at https://brainly.com/question/24663213

given : PK and PL - tangent
KM perpendicular KP
angle KML = 50°

Solve - angle KPL

Please help me with how to solve this, thanks!​

Answers

Answer:

∠KPL = 80°

Step-by-step explanation:

As KM is perpendicular to KP, this means that KM is the diameter of the circle, as the tangent of a circle is always perpendicular to the radius.

The angle at the circumference in a semicircle is always a right angle.  So if KM is the diameter then ΔKLM is a right triangle with ∠KLM = 90°

The sum of the interior angles of a triangle is 180°.

Therefore, ∠KLM + ∠KML + ∠LKM = 180°

As ∠KLM = 90° and ∠KML = 50°

⇒ 90° + 50° + ∠LKM = 180°

∠LKM = 40°

As ∠PKM = 90° then

∠PKL = 90 - ∠LKM

              = 90 - 40

              = 50°

Tangents from a common point to a circle are always equal in length, so as PK and PL are tangents from point P, then PK = PL

Therefore, ΔLPK is an isoceles triangle and so its base angles ∠PKL and ∠PLK will be equal.

Since ∠PKL = 50° then ∠PLK = 50°

Again, as the sum of interior angles of a triangle is 180°:

⇒ ∠KPL + ∠PKL + ∠PLK = 180°

⇒ ∠KPL + 50° + 50° = 180°

∠KPL = 80°

Convert 6 2/3 % to a fraction lowest terms

Answers

Answer:

109/150

Step-by-step explanation:

Answer: 109/150

6% = 6/100

6/100 = 18/300 (Multiply Numerator and Denominator by 3)

2/3 = 200/300 (Multiply Numerator and Denominator by 100)

200/300 + 18/300 = 218/300

218/300 = 109/150 (Simplify by Dividing Numerator and Denominator by 2)

Convert the binary number 1101001 to decimal.

Answers

Answer:

105

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Decimal calculation steps
(1101001)₂ = (1 × 2⁶) + (1 × 2⁵) + (0 × 2⁴) + (1 × 2³) + (0 × 2²) + (0 × 2¹) + (1 × 2⁰) = (105)₁₀

You lose an online auction for an autograph. Your losing bid of $28 is 40% of the winning bid. How much less was your bid than the winning bid?

Answers

28/4=10%x
7=10%x
7•10=x
x=70

What is the total number of digits you need to number the pages of a book that has 1450 pages?

Answers

Answer: pages 1-1,450

pages 1-9 = 9 digits

pages 10-99 = 90*2 = 180 digits

pages 100-999 = 900*3 = 2,700 digits

pages 1000-1450 = 451*4 = 1,804 digits

sum = 4,693 digits

50% of the population are within one standard deviation.
O True
O False ???

Answers

Answer: False

Step-by-step explanation:

68%

Key Takeaways. The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

how to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3

Answers

Answer:

6

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

4 1/2=9/2, 2 2/3= 8/3

9/2x8/3=72/6,

12. However, you still have to divide by two, which gets you 6

Answer:

6

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

4 1/2=9/2, 2 2/3= 8/3

9/2x8/3=72/6,

The slopes of perpendicular lines are ___ ___of each other, which means their products is -1.
A. fractional reciprocals
B. negative reciprocals
C. positive reciprocals ​

Answers

Answer:

Negative Reciprocals

Step-by-step explanation:

Consider two slopes being perpendicular to each other:

[tex]\displaystyle \large{m_1\cdot m_2=-1}[/tex]

You will either receive:

[tex]\displaystyle \large{m_1=-\dfrac{1}{m_2}}[/tex]

or:

[tex]\displaystyle \large{m_2=-\dfrac{1}{m_1}}[/tex]

Say, you want to find perpendicular slope of 4. You have first slope as 4 and another as unknown which is assigned as m variable:

[tex]\displaystyle \large{4m=-1}\\\displaystyle \large{m=-\dfrac{1}{4}}[/tex]

Therefore, 4 and -1/4 are perpendicular to each other. See that one slope is positives while another is negative. If you have negative slope then the perpendicular slope is positive.

Hence, they are indeed reciprocal but also negative as well.

Please help I will give brainiest pls

Answers

46.5 is your answer

At 9AM on a Monday, five Starbucks are chosen and all customers are asked to participate in a survey.

What method of sampling was used to choose these people?

Answers

Answer:

random sampling

Step-by-step explanation:

There are no rules or criteria that are set to choose which Starbucks are chosen to be surveyed.

QUESTION TWO a A Mercedes Benz mechanic, in determining whether to purchase a device of design A or design B, checks the times for completing a certain task on each device. Eight operators were used in the testing, with each operator using both device A and B in a randomized order. The times in seconds) required to complete the task are given in the following tables. B Operator A 1 32 2. 40 3 42 4 26 5 35 6 29 7 45 8 22 aaNION 30 39 42 23 36 27 41 21 a) At alpha level equal to 0.05; test to see if there is a significant difference between mean completion times. (5 Marks) b) Determine the 95% level of confidence interval for the difference between A and B. (5 Marks) .​

Answers

At alpha level equal to 0.05, there is no significant difference between mean completion times.

How to illustrate the significance level?

From the complete information, the test statistic will be:

t = [(33.875 - 32.375) - 0]/8.1472 × ✓0.25

t = 0.3682

The tabulated value is 1.76. Therefore, we will accept the null hypothesis. Therefore, there is no significant difference between mean completion times.

Learn more about significance level on:

https://brainly.com/question/14279939

There are 318 calories in six ounces of a certain ice cream. How many calories are there in one pound?
1 pound = 16 ounces

Answers

Answer:

795

Step-by-step explanation:

318 x 2 (to get 12 ounces)

636 + (1/2 x318) (to get 3 ounces)

636 + 159 (to get 16 ounce)

795

The number of calories in one pound is 848 calories.

Given that, there are 318 calories in six ounces of a certain ice cream.

What are proportions?

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let x be number of calories in 1 pound = 16 ounces

Here, 318:6::x:16

⇒ 6x=318×16

⇒ 6x=5088

⇒ x=5088/6

⇒ x=848

Therefore, the number of calories in one pound is 848 calories.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

#SPJ2

Using Coordinates in Proofs |
IS
What is the most specific name for the figure?
A(a,0)
B(0, b)
Cla, 2b)
D(2a, b)
B
D
А
B. Rectangle
A. Trapezoid
D. Rhombus
C. Square

Please help me!

Answers

Answer: D

Step-by-step explanation: You're Welcome

Evaluate the expression when a = 6 and x= -5.
-a + 8x

Answers

Answer:

-46

Step-by-step explanation:

when a= 6 and ×=-5

-a + 8×= -6+8×-5

= -6+(-40)= -6-40= -46

need help with geometry (number 23)

Answers

Answer: D

Step-by-step explanation:

Diagonals of a square are perpendicular, so the measure of angle 1 is 90 degrees.

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