find the sum of n first natural numbers is 496 ,find the number of terms

Answers

Answer 1

Answer:

Number of terms  = 31.

Step-by-step explanation:

Sum of n terms of an A S with first term 1 and common difference 1:-

496 = (n/2)(2(1) + 1(n - 1))

496 = (n/2)(n + 1)

n^2/2 + n/2 = 496   Multiply through by 2:-

n^2 + n = 992

n^2 + n - 992 = 0

(n - 31)(n + 32) = 0

n = 31   (we ignore the negative).


Related Questions

The diameter of a circle is 2 inches. What is the circle's area?
d=2 in

Answers

Answer: 1pi or 3.14

Step-by-step explanation:

The equation for finding the area of a circle is [tex]\pi r^2[/tex]since the radius is half of the diameter [tex]r=1[/tex]. Since r squared is also 1, the next thing you need to do is plug one into the equation, which, when solved, leaves you 1pi or 3.14.

I hope this helps!

Step-by-step explanation:

this is how you solve it :)

A coin is tossed 3 times and the outcome of heads or tails recorded for each toss. This is repeated until there have been 3 coin tosses 30 times. This list shows the results.

HTT, HHH, HTH, THT, THH, THH,THT, THH, THT, HHT, TTH, HHT,HHH, TTT, HHT, THH, HTT, HHH,HHH, THT, HTT, HHT, HTH, THH,THH, HTT, THH, TTH, HTT, TTT

According to this data, what is the experimental probability of getting exactly 2 tails out of 3 coin tosses? Select from the drop-down menu to correctly complete the statement. The experimental probability of getting exactly 2 tails is Choose... %.

30%
35%
40%
45%

Answers

Answer:45% ??

Step-by-step explanation: you have a higher chance of getting heads than tails


i dont really know the answer


Answer:

I believe it would be 30%

Step-by-step explanation:

If we look through the list of coin flips for each time there is a group (of 3) that has 2 tails and 1 heads, we would find that there are 10 groups.

So to solve this we can simply divide 10 (the amount of groups with 2 tails) by 30 (the total amount of groups) which gives us 33.333%. Now this isn't really an exact answer, but it is closer to 30% than it is to 35% so it would probably be safe to say that we could round down.

Hope this helps! -SC

Ten sixth grade students recorded the amounts of time each took to travel to school. The dot plot shows their travel times.

a. Which number of minutes—9 or 4.2–is a typical amount of time for the ten sixth grade students to travel to school? Explain your reasoning.

b. Based on the mean and MAD, Jada believes that travel times between 5 and 13 minutes are common for this group. Do you agree? Explain your reasoning.

c. A different group of ten sixth grader students also recorded their travel times to school. Their mean travel time was also 9 minutes, but the MAD was about 7 minutes. What could the dot plot of this second data set be? Describe or draw how it might look.

Answers

Answer:

A is 9 and B is yes

Step-by-step explanation:

Which statement is correct regarding the measurements of the parallelogram?

On a coordinate plane, a parallelogram has points (7, 3), (4, negative 4), (negative 5, negative 4), and (negative 2, 3).
The base is 7 and the height is 7, so the area is 7 (7) = 49 square units.
The base is 7 and the height is 3, so the area is 7 (3) = 21 square units.
The base is 9 and the height is 6, so the area is 9 (6) = 54 square units.
The base is 9 and the height is 7, so the area is 9 (7) = 63 square units

Answers

The correct statement regarding the measurements of the parallelogram is that the base is 9 and the height is 7, so the area is 9 (7) = 63 square units.

What is a Parallelogram?

This is defined as a quadrilateral which has two pairs of parallel sides present and the area is base × height.

The base is 9 and the height is 7, when the points are plotted which results in the area being 63 square units hence option D was chosen.

Read more about Parallelogram here https://brainly.com/question/970600

#SPJ1

The state tax is 8%. Calculate how much you will pay in taxes on the kyrie 5.

Answers

How much does the Kyrie 5 cost?


12(x - 3) + 18 = 4(3x - 3)

12(x-3) + 18=4(2x-4)

6x +8 = 7x +13

6x + 8 = 2(3x + 4)

6x + 8 = 6x + 13

Please help if you can solve all of these it will be a big help

Answers

Answer:

No Solution

x = 1/2

x = -5

x = 1

No Solution

What is a black hole?
A. A massive cluster of stars and other matter.
B. A star that has collapsed under its own gravity.
C. The opposite of a star, it is a hole in space that sucks in light and matter.
D. A dense cloud of dark energy; scientists still have not found a real one.

Answers

Im pretty good with space so your answer would be C

A veterinary clinic saw 45 pets on Monday. The shaded squares in the grid below represent the 60% of pets
seen on Monday that were dogs.
How many dogs were seen at the clinic on Monday?
25
15
27
18

Answers

Answer: 27 dogs were seen at the clinic on monday.

27/45 = 0.6

0.6 = 60%
27 dogs were seen on Monday

HELPPP FAST PLEASE

The chord BC is a diameter of OO.
C
.
O A. True
O B. False
0
B

Answers

Answer:

A. True

Step-by-step explanation:

Given:

O is the center of the Circle

Chord BC is the line segment passing from the center of circle

Chord: It is a line segment whose end points lies on the circle.

Diameter: It is defined as a line segment passing from the center of the circle whose end point lies on the circle.

Hence chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle.

Hence the statement is TRUE

Yes, The chord BC is a diameter of circle C.

What is Line segment?

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

We have to given that;

To check The chord BC is a diameter of circle C.

Now, WE know that;

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Here, The line segment BC is passing through the center O.

Hence, The chord BC is a diameter of circle C.

Learn more aboput the line segment visit:

https://brainly.com/question/280216

#SPJ7

The delivery truck drives at a constant speed. What is the truck's speed, in miles per hour, on the delivery route? Round the answer to the nearest whole number. Enter the answer in the box.

Answers

Answer:

Choose answer below

Step-by-step explanation:

The truck does 3 sides of the square     3 x 24 = 72

   and the truck does one entire diagonal of the square

          with side lengths 24

       diagonal = sqrt (24^2 + 24^2 ) = 33.94 miles

total miles 33.94 + 72 = 105.94 miles in 4.5 hours

    105.94 / 4.5 = 23.54 m/hr for the entire trip

The mph for the actual driving time (2.5 hours )

   105.94 / 2.5 = 42. 38 m/hr    for driving time only


PLEASE HELO ME!!! PLSSSS

Answers

Answer:

Choice A

Step-by-step explanation:

<4 and <5 are alternate interior angles.

Answer:

angle 3 and 6

Step-by-step explanation:

They are on the other sides of eachother and are both in the interior.

The diagram shows an electric motor. S N Which series of energy transformations occurs in the electric motor? O A. Electrical energy Chemical energy Mechanical energy​

Answers

Answer:

electrical → mechanical

Step-by-step explanation:

i dont know if thats what answer format you need but i feel like thats right

Question 6 of 10
How many solutions are there to the equation below?
&x=7
O A. 49
O B. 2
O c. 1
O D.O

Answers

I think the answer would be d

2 Find the mode and median from the following numbers 5,8, 6, 9, 7, 4, 10, 2, 5, 9, 0, 1, 6,9​

Answers

Answer:

MEAN=81/14                             MODE=6

Step-by-step explanation:

MEAN:

(5+8+6+9+7+4+10+2+5+9+0+1+6+9)/14=81/14

MODE: 6=middle number

What does the notation​ P(B|A) mean? Question content area bottom Part 1 Choose the correct answer below. A. The probability of event B​ occurring, given that event A has occurred B. The probability of event B​ occurring, divided by the probability of event A occurring C. The probability of event A​ occurring, given that event B has occurred D. The probability of both event A and event B occurring

Answers

Answer:

A.  The probability of event B​ occurring, given that event A has occurred

Step-by-step explanation:

Conditional probability

A probability is conditional if is depends on what has already happened.

The probability that event B happens, given that event A has already happened is "B given A" or P(B | A)

Therefore, P(B | A) means "The probability of event B​ occurring, given that event A has occurred"

Additional information:

P(A | B) means "A given B", i.e. the probability of event A​ occurring, given that event B has occurred

P(A ∩ B) means the probability of event A and event B both happening.

The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.

Answers

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

2

y

=

54

2

y

this gives

2

x

=

54

2

y

Divide both sides by 2

(

2

x

2

)

=

54

2

y

2

This gives.

x

=

27

y

putting this value into the second equation gives.

(

27

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

y

2

=

176

subtracting 176 from both sides gives

is

27

y

y

2

176

=

0

multiplying by negative one gives

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

11

)

×

(

y

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

Determine the value of x.
x = 9
All of these
None of these
x = 5 1/3
x = 20 1/3

Answers

Answer:

Step-by-step explanation:

56 = 6x+2

54 = 6x

54/6 = 9

X = 9

Opposite angles are equal

6x+2=566x=54x=9

Option A

Which statements about the value of the digits in the number 6,666,666 are true?

Select each correct answer.


The digit in the thousands place is 16 the value of the digit in the ten thousands place.


The digit in the hundred thousands place is 110 the value of the digit in the millions place.


The digit in the ten thousands place is 10 times the value of the digit in the thousands place.


The digit in the hundreds place is 60 times the value of the digit in the tens place.

Answers

Answer:

B. The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.

C. The digit in the ten thousands place is 10 times the value of the digit in the thousands place.

Hope this helps !

Step-by-step explanation:

1. How many cubic feet are in 3 cubic yards?​

Answers

The answer is: 81 cubic feet:)
Explanation:
I just did it

Find the distance between points 0, 10 and -9, 1

Answers

Answer:

9,9

Step-by-step explanation:

0 - -9 = 9

9 is the first number

10 - 1 = 9 (subtracting the biggest number by the lowest number tells the difference between two numbers.)

9 is also the second number.

Find the surface area of this cube. Be sure to include the correct unit in your answer.

Answers

Answer:

486 cm

Step-by-step explanation:

9×9=81

there are 6 faces

81×6=486

What is the value of 0.6 - (0.7)(1.4)

Answers

Answer:

-0.38

Step-by-step explanation:

0.6-(0.7)(1.4)

0.6-0.98

-0.38

Explain how to use a graph of the function f(x) to
find f(3).

Answers

To find the value of f(3) we need to follow the below steps :

Step 1 : First plot the graph of f(x)

Step 2 : We need to find f(3) or the function value at x = 3 therefore, in the graph locate the point (3,0)

Step 3 : Draw a line parallel to Y-axis passing through the point (3,0) .

Step 4 : Now there exists two cases :

If the drawn line do not intersect the graph of f(x), then no value of f(3) exists for the given function of x

If the drawn line intersects the graph, then the intersection point is marked and a line parallel to x - axis is drawn passing through that marked or intersection point. And the line where it intersects the y - axis is our required value of f(3).

If this is wrong than I guess I wasn't smart enough :)

How to write 2/9 as a decimal?

Answers

[tex]\large\textsf{Hey there!}[/tex]


[tex]\large\textbf{How do you convert a fraction to a decimal?}[/tex]

[tex]\bullet\large\text{ To put it easier to understand DIVIDE the numerator \& denominator}\\\\\large\text{ from each other and solve!}[/tex]


[tex]\large\textbf{How will we answer it?}[/tex]

[tex]\rm{\dfrac{2}{9}}[/tex]

[tex]\rm{= 2\div 9}[/tex]

[tex]\rm{= 0.22222222}[/tex]

[tex]\rm{\approx 0.22}[/tex]


[tex]\large\textbf{Here is a basic formula for converting fractions to decimals:}[/tex]

[tex]\rm{\dfrac{a}{b}\rightarrow a \div b \rightarrow c}[/tex]


[tex]\large\textbf{What is the answer?}[/tex]

[tex]\large\boxed{\mathsf{0.22222222}}\large\checkmark[/tex]


[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphirite1040:)}[/tex]

A fraction, like 2/9, has a numerator and a denominator separated by a dividing line.

2 is the numerator, because it is the number above the dividing line.

9 is the denominator because it is the bottom number of the dividing line.

To convert 2/9 to a decimal, divide the numerator by the denominator.

[tex] \bold{2 ÷ 9 ≈ 0.222222 ⇒ Answer}[/tex]

-3 ( 10 - 5v) - 10v

Explain

Answers

Answer:

- 30 + 5v

Step-by-step explanation:

- 3(10 - 5v) - 10v ( multiply each term in the parenthesis by - 3 )

= - 30 + 15v - 10v ← collect like terms

= - 30 + 5v

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - 3(10 - 5v) - 10v[/tex]

[tex]\qquad \sf  \dashrightarrow \: - 30 + 15v - 10v[/tex]

[tex]\qquad \sf  \dashrightarrow \:5v - 30[/tex]

so, the equivalent expression is 5v - 30

A loon is flying at a height of 10 feet above a lake. The loon dives into the water to catch a fish that is at a depth of 6 feet. What is the change in elevation of the loon?

Pls help

Answers

-16 is your answer because of 10 minus 16

help me pleaseeeeeeeeeeeeeeeeeeeeee

Answers

There is 165 Employees in total

Answer:

165

Step-by-step explanation:

If the ratio is (m->w) 4:7 and there are 105 women, there are 60 men. Add these together to get the total: 165.

Write the expression as a single natural logarithm.

2 ln a – 4 ln y

Answers

Answer:  [tex]\ln\left(\frac{a^2}{y^4}\right)[/tex]

============================================================

Explanation:

I'll be using these log rules

Blog(A) = log(A^B)log(A) - log(B) = log(A/B)

which I'll refer to as "rule 1" and "rule 2" respectively. There are other log rules, but we only need to use these two for this particular question.

Here's how the steps could be laid out:

[tex]2\ln\left(a\right)-4\ln\left(y\right)\\\\\ln\left(a^2\right)-\ln\left(y^4\right) \ \text{ ... use rule 1}\\\\\ln\left(\frac{a^2}{y^4}\right) \ \text{ ... use rule 2}\\\\[/tex]

Side note: The first letter of "ln" is a lowercase L, and not an uppercase i

What is the volume of this right prism?

1200 in3
1800 in3
2040 in3
3600 in3

Answers

Answer:

2nd option

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = Ah ( A is the area of the triangular face and h is its height )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = 30, h = 8 , then

A = [tex]\frac{1}{2}[/tex] × 30 × 8 = 15 × 8 = 120 in²

with h = 15 , then

V = 120 × 15 = 1800 in³

Find H please helpppp

Answers

Answer:

4.

Step-by-step explanation:

1) the rule:

h:2=8:h;

2) according to the rule:

h²=16; ⇒ h=4.

Other Questions
is the battle of hong as important today as it was before Javier has four cylindrical models. The heights, radii, and diagonals of the vertical cross-sections of the models are shown in the table.A cylinder.Model 1radius: 14 cmheight: 48 cmdiagonal: 50 cmModel 2radius: 6 cmheight: 35 cmdiagonal: 37 cmModel 3radius: 20 cmheight: 40 cmdiagonal: 60 cmModel 4radius: 24 cmheight: 9 cmdiagonal: 30 cmIn which model does the lateral surface meet the base at a right angle? Please help, will mark Brainliest!1. Does the relationship between number of people and the bill appear to be weak, moderate or strong?2. Does the relationship between number of people and the bill appear to be linear?3. The equation of the line of best fit is Bill = 5.80 + 11.15 People. (y=5.80+11.15x) Sketch this line on the scatterplot.4. Interpret the slope of the line of best fit in the context of this problem.5. Note that the points in the scatterplot do not all lie on the line. What could explain this variability?6. Use the equation of the line of best fit to estimate how much would you predict the bill to be for a party of 8?7. There was one party of 8 whose bill was $82.50. Did they pay more than or less than the predicted amount? How much more or how much less did they pay? Pls help its due Friday !!! Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis. = 0. 09 for a right-tailed test E Word mellem with addition et subtraction of 2 decimals Abdulu put 1253 gallons of fuel to cart There were 6.9 gallions in the car to begin with How much fuel is in Abdul's car now? 2 The price of a book is $1 more than twice the price of a pen. The total price of 5 books and 4 pens is $47. Find the price of a pen and of a book. Evaluate the expression 2x2+5y2 when x=4 and y=3. In the U.S., all of the following groups are at high risk for food insecurity except: Group of answer choices Asian households single parent households African American households Hispanic households rural households A ______ is a deduction from the original price of an item. Increasing the amount of plant cover would increase erosion. True or false? -5 is a(n)Awhole number and irrational number.Binteger and rational number.Crational number only.Dinteger only. Jill planted five rows of watermelons in her garden with the same number in each row she planted a total 35 watermelons how many in each row If two data points are 10 and 20, what data point would make 30 the mean? How does Jekylls letter to Lanyon in the excerpt from The Strange Case of Dr. Jekyll and Mr. Hyde create suspense in the story?Jekyll warns Lanyon of an illness spreading in London.Jekyll fails to reveal a reason for his request.Jekyll tries to persuade Lanyon to commit a crime.Jekyll threatens to hurt Lanyon if he does not help. WILL GIVE BRAINLIEST PELASE HELPFrancisco de Quevedo y VillegasFrancisco de Quevedo y Villegas (1580-1645) fue uno de los polticos y escritores ms famosos de Espaa. El siguiente es uno de sus poemas.Mir los muros de la patria maMir los muros de la patria ma,si un tiempo fuertes, ya desmoronados,de la carrera de la edad cansados,por quien caduca ya su valenta.Salime al campo, v que el sol bebalos arroyos del hielo desatados,y del monte quejosos los ganados,que con sombras hurt su luz al daEntr en mi casa, v que amancilladade anciana habitacin era despojos;mi bculo ms corvo y menos fuerte.Vencida de la edad sent mi espaday no hall cosa en que poner los ojosque no fuese recuerdo de la muerte.Tarea: En tu opinin, de qu se trata este poema? Qu frases del poema apoyan tu opinin? Cul es tu opinin del poema?Your response must contain at least 5 detailed and complete sentences in Spanish. You will be graded on (a) appropriate use of grammar and vocabulary, (b) completeness and detail of the response, and (c) overall quality of the response. Why didn't President Van Buren want to annex Texas? whats the study of human populayion PLEASE WRITE THE MEANING OF CINCO DE MAYO, HOW IT CAME TO BE AND HOW IT IS CELEBRATED I need your help with this haha