My first question ever, and my last question yet.


Alec and Beau race to compute 1 + 2 + 3 + ... + n. Alec skips two numbers and gets a sum of 92. Beau double-counts two numbers and gets a sum of 145. What is the value of n?

Answers

Answer 1

Answer:

n = {14, 15, 16}

Step-by-step explanation:

This is a sum of the first n terms of an AP:

S = (1 + n)*n/2

The true sum is between 92 and 145:

92 < n(n + 1)/2 < 145184 < n(n + 1) < 290184 < n² + n < 290185 < (n + 1/2)² < 291√185 < n + 1/2 < √29114 ≤ n < 17

Let n = 14

S = 14*15/2 = 105

Let n = 15

S = 15*16/2 = 120

Let n = 16

S = 16*17/2 = 136


Related Questions

If √(2x+3) =√(2x+33) which is the correct solution *
9
8
6​

Answers

Answer:

No solution

Step-by-step explanation:

(√(2x+3))^2 =(√(2x+33))^2

2x+3 = 2x+33

Please someone please help me.

Answers

Answer: B

Step-by-step explanation:

1/2+2/3 PLEASE HELP AND DONT DO IT LIKE 1.083333333 MY TEACHER DOESNT ALLOW THAT PLEASE HELP ME

Answers

Answer:

7/6 or 1 1/6

Step-by-step explanation:

when you add or subtract fractions, you have to have a common denominator. in this case, your common denominator is 6

1/2=3/6

2/3=4/6

add the numerators and keep the denominator 6

4+3=7

7/6 or 1 1/6

A store has a 20% off sale on pants. With this discount, the price of one pair of pants before tax is $15.20.

What is the original price of the pants?

Answers

Answer:

19$

Step-by-step explanation:

Because 19$ 20% off=15.20 and you added taxes]

Have a great day :}

Please help! Find the value of c in the isosceles trapezoid.

Answers

Answer:

u lookn hot tonight baby

Step-by-step explanation:

The picture frames shown are both squares. The area of the smaller frame is 14 the area of the larger frame. Find the side length of the larger frame.

Answers

Answer: I think it helps with the square units that both squares have.

Step-by-step explanation:

Area of the larger frame is 14times bigger than the smaller frame

Area of the smaller frame=9in^2

Area of the larger area

[tex]\\ \rm\hookrightarrow 9(14)=126in^2[/tex]

If f(x) is a polynomial of degree 4, and g(x) is a polynomial of degree 2, then what is the degree of polynomial f(x) - g(x)?

Answers

Answer:

4

Step-by-step explanation:

ㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇㅇ

Which of these describes how to use the number

phi to find a term in the Fibonacci sequence?


A-Divide the term Fn-1 by the value of phi to find

the value of the term Fn

B-Multiply the term Fn-1 by the value of phi to

find the value of the term Fn:

C-Subtract the value of phi from the term Fn-1.

This will give you the value of Fn

D- sum the previous two terms and then multiply

the sum by phi. This will give you the term Fn

Answers

Answer:

sum the previous two terms and then multiply

find the area and perimeter of sector OAB given that angle AOB is 60 degrees and the radius of a circle is 21cm​

Answers

Answer:

Step-by-step explanation:

Perimeter of a sector

The circumference of a circle is 2 pi r.

pi = 3.14

r = 21 cm

The angle of this particular sector is 60 degrees.

So the formula for this sector is P = 2*r + 60/360 * 2* pi * r

Now all you need do is plug the numbers in.

P = 2 * 21 + 1/6 * 2 * 3.14 * 21

P = 42 + 21.98

P = 63.98

Area of the sector

Area of a circle = pi * r^2

Area of a sector = theta / 360 * pi * r^2

theta = 60 degrees

area of this sector = (60/360) * 3.14 * 21^2

Area of this sector = (1/6) * 3.14 * 441

Area of this sector = 230.79

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

Given :-

We have given that, Angle AOB is 60° The radius of the circle is 21cm

To Find :-

We have to find the area and perimeter of the sector OAB

Let's Begin :-

We have ,

Two radii of the circle OA and OB = 21 cm each [tex]\bold{\angle{ AOB = 60° }}[/tex]AB is the segment of the circle

We know that,

[ Perimeter of sector = Arc length + radius + radius ]

[tex]\bold{\blue{ Perimeter \: of \: Sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× 2πr + r + r }}}[/tex]

Subsitute the required values in the above formula :-

Length of the arc of OAB

[tex]\sf{=}{\sf{\dfrac{ 60°}{360°}}}{\sf{×2πr + 2r }}[/tex]

[tex]\sf{=}{\sf{\dfrac{ 6}{36}}}{\sf{×2×21π + 2 × 21 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{6}}}{\sf{ × }}{\sf{\dfrac{22}{7}}}{\sf{× 42 + 42 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{ × }}{\sf{\dfrac{11}{7}}}{\sf{ × 42 + 42 }}[/tex]

[tex]\sf{= }{\sf{\dfrac{1}{3}}}{\sf{× 11×6 + 42 }}[/tex]

[tex]\sf{ = 11 × 2 + 42 }[/tex]

[tex]\sf{= 22 + 42 }[/tex]

[tex]\bold{\red{= 64 \: cm}}[/tex]

Thus, The perimeter of the sector OAB is 64 cm

Now,

We have to find the area of sector OAB

We know that,

[tex]\bold{\blue{ Area \: of \: sector = }}{\bold{\blue{\dfrac{\theta}{360°}}}}{\bold{\blue{× πr² }}}[/tex]

Subsitute the required values in the above formula :-

Area of sector OAB

[tex]\sf{=}{\sf{\dfrac{60°}{360°}}}{\sf{× πr² }}[/tex]

[tex]\sf{=}{\sf{\dfrac{6}{36}}}{\sf{× π × 21 × 21 }}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× π × 21 × 21 }}[/tex]

[tex]\sf{=}{\sf{\dfrac{1 }{6}}}{\sf{× 441π}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 441 × }}{\sf{\dfrac{22}{7}}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{ × 63 × 22}}[/tex]

[tex]\sf{=}{\sf{\dfrac{1}{6}}}{\sf{× 1386 }}[/tex]

[tex]\bold{\red{= 231 \: cm²}}[/tex]

Hence, The area and perimeter of the sector OAB is 64 cm and 231cm²

What is sector?

Sector is nothing but the portion covered by the two radii of the circle For example, In the given circle OAB is sector as it is enclosed by two radii OA and OB.

20) A school orders 26 packs of pencils. Each pack contains 12 boxes of 12 pencils. The
pencils are to be shared equally among the 14 classes in the school. To the nearest whole
number, how many pencils will each class be given?

Answers

Answer:

266

Step-by-step explanation:

26*12*12/14

sounds

0.25(2/3y-5+1/3y-7-9y)=0.25

Answers

y = -1.625 sorry if its incorrect, hope it helps tho!

what is the AREA of a 13ft by 6ft rectangle

Answers

Answer:

78 ft²

Step-by-step explanation:

The formula for area is:

[tex]Area=length*width[/tex]

A 13 ft by 6ft rectangle means that the length is 13 ft and the width is 6 ft. We can use this information to solve for the area...

[tex]Area=length*width\\Area=13ft*6ft\\Area=78 ft^2[/tex]

Answer:

78 sq feet

Step-by-step explanation:

Area = length × width

If you know two of the sides of the rectangle (that aren't directly across from each other) MULTIPLY the numbers together.

Area = l × w

Area = 13 × 6

Area = 78 sq feet

Can anyone please help me with this? I need help really soon!

Answers

Answer:

(x,y)=(19/5,-6/5) I'm not sure it's right, but hopefully it is

Write the equation of the line in slope-intercept form.


the question is 80y and 8x

The equation of the line in slope-intercept form is

Answers

Answer:

Y =mx/10+c/80

Point(8x, 80y) lies on Y =mx +c

help ill give 5 stars if you get it correct

Answers

Answer:

B is the answer

Step-by-step explanation: Ok so the problem we are working with is

8 2/9-4 2/3. We will eliminate all the negative answers. So we only have 2 options. When we actually think logically B is the only possible answer.

Answer:

[B] [tex]2\frac{8}{9}[/tex]

Step-by-step explanation:

First of all, it not asking for the answer it asking for the first step.

Secondly, both number are positive (Before subtract)

Hence, this leads us to 2 more answer choices.

When model a number or a fraction on the number line you put the first Value on the number line then the second Value.

Therefore, we can conclude that [B] 2 8/9 is the correct answer.

[RevyBreeze]

Help me pleaseeee! I beg u

Answers

Answer:

look at the pictures

Step-by-step explanation:

Libby's dog stands
7
9
yard tall and Jeff's dog stands
5
6
yard tall. How much taller is Jeff's dog than Libby's dog?

Answers

Answer:

hi it -2 3

Step-by-step explanation:

Answer:

1/18 there you go

Step-by-step explanation:

Somebody gets this all correct I will give them 20 points it is two step equations and it’s addition subtraction multiplication and division

Answers

6x + 8 = 50
x= 7
2n - 5 = 11
n= 8

Operation of complex numbers
(8i-9)+(6i+4)

Answers

Answer: 14i-5

Step-by-step explanation:

Add the imaginary numbers first and then the natural numbers

Bob rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 80 cents for each mile driven. Bob had to pay $114.19 when he returned the truck. For how many miles did he drive the truck?​

Answers

Answer:

124 miles

Step-by-step explanation:

$14.99 + ($0.80 x m) = $114.19 (where m is miles driven)

$0.80m = $99.20

m = 124

Which can be represented by the expression 13 – 2n?

Answers

Answer:

We generally know consecutive even integer numbers are 2 , 4 , 6, 8, 10 ............

So we can see there is difference of 2 in consecutive even integer.

So if we let first even integer as 2n.

So we will let three consecutive even integer as 2n , 2n+2 , 2n+4

Their sum is 54.

So we can write

So n = 8

The expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.

What are expressions?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Given is the expression as follows -

13 - 2n

We can write the expression as a function of (n) as -

f(n) = 13 - 2n

for {n} = 1, we can write - f(1) = 13 - 2 = 11

for {n} = 2, we can write - f(1) = 13 - 4 = 9

for {n} = 3, we can write - f(1) = 13 - 6 = 7

In the similar way we can continue further. We get the sequence as -

13, 11, 9, 7, .....

This is a arithmetic progression with {a} = 13 and {d} = - 2.

Therefore, the expression f(n) = 13 - 2n represents a arithmetic progression with {a} = 13 and {d} = - 2.

To solve more questions on expressions, visit the link below -

brainly.com/question/14591508

#SPJ2

quadrilateral corn has coordinates C(-4,1) O(-3,3) R(2,3) N(0,-1). what is the most specific name for the quadrilateral. justify your conclusion

Answers

The quadrilateral is a trapezoid because it presents two parallel sides with different lengths.

For solving this question, first you need to plot the coordinate points given on the Cartesian graph. After that, you should connect the plotted points with a line. With this, you can see an image of a parallelogram, but you need to inform your specific name.

Main Types of Quadrilaterals

square: it presents all side equals and angles equal to 90°;rectangle: it presents all angles equal to 90°. On the other hand, the opposite sides are equals (same length);rhombus:  it presents all side equals and angles different than 90° (two acute and two obtuse angles );trapezoid:  all the sides may not have equal length also it presents two parallel sides.

The image plotted from the coordinate points shows a quadrilateral with two parallel sides and different lengths. Therefore, this quadrilateral is a trapezoid.

Learn more about the trapezoid here:

https://brainly.com/question/24768934

Q25. The floor of a hall is completely covered by 26 carpets, each
measuring 4m in length and 3m in breadth. What is the area of the
of the hall?

Answers

Answer:

[tex]276m^{2}[/tex] total area. 78m breadth.

Step-by-step explanation:

First, do 4 multiplied by 3 to find the area of one carpet. The answer is 12m. Then, do 12m multiplied by 23 to get the total area. The answer will be 276m squared. If you want to find width then do 3m multipled by 26 which is 78m.

I need to know the area

Answers

Answer:

67.5 units²

Step-by-step explanation:

We can break this problem down in two parts: The upper triangle and the lower trapezoid.

The upper triangle:

Use the formula [tex]\frac{1}{2} (b)(h)[/tex] to compute the area of the triangle. Base = 10 and Height = 7.

1/2 (10)(7)

1/2 (70)

=35 units².

The lower trapezoid:

Use the formula [tex]\frac{1}{2}(base_{1} + base_{2}) (height)[/tex] to compute the area of the trapezoid. Base 1 = 10, Base 2 = 3 and Height = 5.

1/2 (10 + 3)(5)

1/2 (13)(5)

1/2 (65)

=32.5 units²

So, add the two areas of each shape:

35 + 32.5 = 67.5 units².

Answer:

Step-by-step explanation:

67.5 is the answer and thanks for asking

please, help me out !!

Answers

Answer:

Correct Statements:

1. The graph of A(t) decreases exponentially

4. The graph of A(t) has a y-intercept at (0,1200)

5. Every year, the cell phone loses 8% of its value.

Step-by-step explanation:

Exponential functions are in the form [tex]y=a(b)^x[/tex], meaning this is a exponential function, so it cannot be linear

a on the exponential function form represents the initial value, otherwise known as the y-intercept, and 1200 is a for the given equation

To find the multiplier, you do 1 -r, and since its 0.92, we do 1-0.92 = 0.08 value per year.

Graph the line that passes through the points (0,-5) and (-5,_6)

Answers

Answer:

Step-by-step explanation:

First find the slope(m) between (0,-5) and (-5,-6)

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = [tex]\frac{-6-(-5)}{-5-0}[/tex] = [tex]\frac{-1}{-5}[/tex] =    [tex]\frac{1}{5}[/tex]

y = [tex]\frac{1}{5}[/tex]x -5

I attached the graph. I used desmos.

Hope that helps!

Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What was his hourly pay rate? Sami made $ per hour and $ per week.

Answers

15 per hour possibly

what is the sum of the measures of the exterior angles of a decagon?

Answers

Answer:

360°

Step-by-step explanation:

The sum of the exterior angles of any polygon is 360°

sum of exterior angles of decagon = 360°

What’s the answer in neeeeeeeeed it………

Answers

Answer:

10x

Step-by-step explanation:

Test Direction: Find the measure of <s. Write the answer on the space provided. ​

Answers

Answer:

16. 40°

17. 40°

18. 50°

19. 45°

20. 135°

Step-by-step explanation:

16. angles opposite to each other are equal

17. 180 - 140 = 40

18. 90 - 40 = 50

19. 65 + 70 = 135

180 - 135 = 45

20. 145 + 80 = 225

360 - 225 = 135

hope this helps :)

Other Questions
Une correctamente las parejas.1. paella influencia de Espaa en la gastronoma cubana. 2. mofongo influencia de frica en la gastronoma cubana. 3. arroz salteado influencia de China en la gastronoma cubana. 4. congr influencia del Caribe en la gastronoma cubana. Which expression represents 5 more than 2 times the value of n?A. 2(n + 5)B. 5(2 + n)C. 2n + 5D. 5n + 2 WHO EVER HELPS FIRST GETS BRAINLIEST After the manager and employee work together to set the employees objectives, what is the next step of mbo?. help me PLS Is for today You know x is a number less than 4. Select all the inequalities that must be true.x-2 > 2x+6 < 10x < 25x < 20x < 8 Which source of law helped to shape the creation of international public law? find the length of arc AB. use 3.14 for . round to the nearest tenth Conditional statements that are always true are called:. In a short paragraph, Compare Hinduism and Buddhism , give at list 2 similarities and at least 2 differences According to US census data (2010), America is made up of many diverse groups of people. In the United States, [blank] is the most common foreign language, spoken by about 12.3 percent of the population.Between 2000 and 2010, the [blank] population accounted for more than half the population growth in the United States. Read the text and question and choose the option with the correct answer.Buenas noches, me llamo Lupita. Tengo quince aos y soy de Uruguay. Me gustan las fiestas de la vspera de Ao Nuevo. En Uruguay hay there is una costumbre para limpiar el espritu de las personas y para empezar begin el ao bien.What tradition or custom is Lupita referring to? Changing shoes and clothes Dancing with your father at midnight Throwing water out the window Holding a baby at midnight Using a Venn diagram, show your understanding of the two characters in the story "The Two Well-Diggers". How does the valmonde family treat Desiree ? Why is nitrate important in the ocean? How is it used biologically in the ocean? A DVD player cost rupees. 3895. What is the cost 45 such players? Find the value of x. (please show how you solved the problem if you're able to! :D) Please help me math and Thanks Solve x/2 - 2 = 5x =... I dont understand this. Elizabeth coal ltd has total assets of $8,000,000, common stock of $4,200,000, and liabilities of $1,200,000. What is the amount for retained earnings?.