Find the sum of the first 31 terms of the following series, to the nearest integer.
5,14,23,..

Answers

Answer 1

Answer:

Step-by-step explanation:

5+14 is 19

19+23 is 4242


Related Questions

A water trough is 8 m long and has a cross-section in the shape of an isosceles trapezoid that is 40 cm wide at the bottom, 100 cm wide at the top, and has height 60 cm. If the trough is being filled with water at the rate of 0.1 m3/min how fast is the water level rising when the water is 30 cm deep?

Answers

Answer:

1.785 cm / min

Step-by-step explanation:

We have to the following equation:

V = A * L

The volume is equal to the area times the length, now, if we derive with respect to time we have:

dV / dt = dA / dt * L

Now, the area of a trapezoid is:

A = (Upper base + Lower base) / 2 * height

Now we have:

Upper base = 40 + h

Lower base = 40

Replacing we have:

A = (40 + h + 40) / 2 * h

A = (h ^ 2) / 2 + 40 * h

Now, we derive and we are left:

dA / dt = d [(h ^ 2) / 2 + 40 * h] / dh * dh / dt

dA / dt = (h + 40) * dh / dt

we replace dA / dt:

dV / dt = [(h + 40) * dh / dt] * L

We have that dV / dt is equal to 0.1 m ^ 3 / min, we know that 1m ^ 3 is equal to 10 ^ 6 cm ^ 3, therefore:

dV / dt = 10 ^ 5 cm ^ 3 / min

in addition L is equal to 8 m or what is equal to 800 cm, and also h at the required moment is 30 cm

we replace everything and we have:

10 ^ 5 = 800 * (30 +40) * dh / dt

dh / dt = 10 ^ 5/56000

dh / dt = 1.785 cm / min

Jason has two pairs of pants, four shirts, and two pairs of shoes from which to choose to wear to school. How many possible outcomes does Jason have? A. 2 B. 4 C. 8 D. 16

Answers

Answer:

16 as 2 x 4 x 2 = 16

Step-by-step explanation:

just like on a dice we have 2 dice and 36 outcomes we multiply 6 x 6 to find it answers 36.

With Jason's outcomes he has 2 x 4 x 2 = 16

Answer:

16

Step-by-step explanation:

2 pants * 4 shirts * 2 shoes = 16

please mark me brainliest :)

what is the wvt

90
32
58​

Answers

Answer:

B Maybe

Step-by-step explanation:

please need help I will be MARKING as BRIANILIST, thank you so much. ​

Answers

Answer:

Here is the mpg for each 6 cylinder:

(23), (24), (30), (23) ,(21), (20) ,(23), (21) ,(23), (22)

i : between 20-24 = 9/10

ii between 25-29 = 0/10

iii at least 30 mpg = 1/10

c- 38, 28,25,26,24,25

d- the mileage of six cylinder car is less than the mileage of four cylinder cars using the same amount of fuel. it is somehow accurate, other factor that affects is the model of the car and how big it is.

WILL GIVE BRAINLIEST AND 30 POINTS! Simplify −3 +i over 7 + i . First, multiply both the numerator and denominator by A. -3 + i B. -3 -i C. 7 + i D. 7-1 Hint: C is incorrect.

Answers

You have (-3 +i)/(7 + i) so you need to remove the i from the numerator, so you have to multiply by 7-i and you get

(-22 + 4i)/50 which can be simplified to

(-11 + 2i)/25

Answer:

Step-by-step explanation:

What you are trying to do in this question is get rid of the i in the denominator. To do that you must multiply top and bottom by the conjugate of 7 + i

The conjugate is 7 - i

D if correct if you just made a typo. Otherwise there is no answer.

( - 3 + i ) * (7 - i)

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

(7 + i ) ( 7 - i)

( - 3 + i ) * (7 - i)

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

49 - i^2

( - 3 + i ) * (7 - i)

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

49 + 1

( - 3 + i ) * (7 - i)

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

50

I'll let you work out the numerator. If you get (-2 + i)/5 you are correct.

Can someone help me please?

Answers

Answer:
X=40

Equation:
24+18+8=50
There’s a right angle so subtract 90 from 50

Determine which equation has the same solutions as the equation below.

4x^2 + 32x − 28 = 0

A.) (x + 4)^2 = 23
B.) 4(x + 4)^2 = 36
C.) 4(x + 8)^2 = 28
D.) (x + 8)^2 = 57

Answers

The answer is A.) (x + 4)^2 = 23

Proof that I am correct

30 POINTS!!!!Twice the sum of a number and eleven is more than negative two. Boundary point:



Answers

Answer:

2(x + 11) > -2

_________________________________________________________

I feel like we are missing information here, can you comment it down below.

Answer

13

Step-by-step explanation:


Given:
AB || DE
C is the midpoint of BD
Prove:
C is the midpoint of AE​

Answers

Answer:

Step-by-step explanation:

Given: AB║DE and C is the midpoint of BD.

To prove: C is the midpoint of A

                   Statements                       Reasons

1). AB║DE                                   1). Given

2). BC ≅ CD                               2). Point C is the midpoint of BD

3). m∠B ≅ m∠D                         3). Interior alternate angles

4). m∠ACB ≅ m∠DCE               4). Vertical angles

5). ΔABC ≅ ΔDEC                     5). ASA property of congruence

6). AC ≅ EC                               6). ΔABC ≅ ΔDEC

7). AC = [tex]\frac{1}{2}(\text{AE})[/tex]                            7). AC ≅ EC

A teacher purchased a 1-foot long sub to share amongst a group of 4 students but decided to eat 1/3 of it. after dividing the rest of the sub into equal parts how much of a sub will each student receive please an answer and a question im confused

Answers

Answer:

2 inches

Step-by-step explanation:

Answer:

2 inches each

Step-by-step explanation:

1 foot = 12 inches

1/3 of 12 =4

left over :12 - 4 = 8

8/4 =2

will mark bianleast plz plz i really need this
Triangle LMN is to be reflected across the x-axis.

What will be the vertices of the reflected triangle?


L'(–2, –1), M'(–3, –5), and N'(–6,–4)

L'(–2, 1), M'(–3, 5), and N'(–6,4)

L'(–1, 2), M'(–5, 3), and N'(–4,6)

L'(2, 1), M'(3, 5), and N'(6,4)

Answers

Answer:

fourth option

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y), thus

L(2, - 1 ) → L'(2, 1 )

M(3, - 5 ) → M'(3, 5 )

N(6, - 4 ) → N'(6, 4 )

Change the mixed number into an improper faction 6 5/12

Answers

Answer:

77/12

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

12 × 6 = 72

Step 2

Add the answer from Step 1 to the numerator

72 + 5 = 77

Step 3

Write answer from Step 2 over the denominator

77/12

=12×6+512= 77/12

Answer:

77/12

Step-by-step explanation:

You multiply the whole number by the station's denominator. You will get 72.

Then you add the 72/12 and 5/12 together.

You will get 77/12.

How many different pairs of regular polygons can be made with 16 toothpicks? WILL MARK BRAINLIEST 35 POINTS!

Answers

Answer:

6

Step-by-step explanation:

We can make:

A 3 sided shape and a 13 sided shape (3 + 13 = 16)

A 4 sided shape and a 12 sided shape (4 + 12 = 16)

A 5 sided shape and an 11 sided shape

A 6 sided shape and a 10 sided shape

A 7 sided shape and a 9 sided shape

2 8 sided shapes

Therefore the answer is 6.

the shapes which can be made are :triangle (3 sides)square (4 sides)Pentagon (5 sides )hexagon (6 sides )septagon (7 sides )octagon ( 8 sides )nonagon (9 sidesdecagon (11 sides )endecagon (12 sides)dodecagon (13 sides )triskaidecagon (14 sides )and so on....till the polygon with 16 sidesso we can make 13 sides

hope it helped :-)please mark me as brainliest

Place the following values in order from least to greatest: 3/4, 0.7, 4/5, 65.5%, 0.72

Answers

Answer:

4/5, 3/4, 0.72, 0.70, %65.5

Step-by-step explanation:

65.5/100=0.655

F(x)=x^2 What is g(x)?

Answers

Answer:

answer is D

Step-by-step explanation:

HELP PLEASE!!! I don't have a lot of time, please help!!!

Read the description of f below, and then use the drop-down menus to complete an explanation of why f is or is not a function.

f relates each student in Mr. Well's history class to their score on a final exam.

Answers

Answer:

Step-by-step explanation:

It is a function, since each student gets only one score one final exam,]

Domain is each student,

the first to last

Range is the score each student got:

(however the scoring was made)

f(each student) is a function because each student, or each element of the domain corresponds to the score, one and only one element of the range.

Answer:

The domain of f is 'the students in Mr. Well's history class'

The range of f is 'the final exam scores'

f 'is' a function because each student, or each element of the 'domain', corresponds to 'one' element of the 'range'

Use the spinner to find the theoretical probability of the events. Type your answer in the box below in simplified fraction form.

(will mark brainliest :))

Answers

Answer:

Step-by-step explanation:

A: if both 6 and 3 are red then the probability for a red is 2/6 or 1/3, if only 3 or 6 is a red then it is 1/6

B: spinning a 1 is 1/6 probability

C: spinning an odd number is 3/6 or 1/2 as half of the numbers are odd

D: 0 probability as there are no 9

Mark all the statements that are true.

Answers

I Cannot see any statements

What is the slope-intercept equation of this line?

Answers

Answer:

A. y=-3x+4

Step-by-step explanation:

Since the equation is in y=mx+b form, m represents the slope of a line. To solve for slope-intercept, use the equation m=(y2-x2)/(y1-x1).

[tex]m=\frac{-2-4}{2-0}[/tex]

[tex]m=\frac{-6}{2}[/tex]

[tex]m=-3[/tex]

Make sure to plug in one of the points into the equation to check if the numbers equal to one another or not.

Rod has to read a book which has p pages. He plans to read r pages each day for d days.
Write an equation for the number of pages left, b, in the book, after d days.

Answers

Answer:

Look at the attachment

The equation is an illustration of a linear function.

The equation for the number of pages left in the book is [tex]b =p- rd[/tex]

The total number of pages is:

[tex]Total = p[/tex]

The daily rate is:

[tex]Rate = r[/tex]

So, the number of pages read in d days is:

[tex]Pages = Rate \times Days[/tex]

This gives

[tex]Pages = r \times d[/tex]

Multiply

[tex]Pages = rd[/tex]

The number of pages left (b) is then calculated as:

[tex]b =Total - Pages[/tex]

So, we have:

[tex]b =p- rd[/tex]

Hence, the equation for the number of pages left in the book is [tex]b =p- rd[/tex]

Read more about linear equations at:

https://brainly.com/question/14323743

Given a = 4, b= -2 and c= 8, evaluate a - b - C.
-14
-6
0-2

Answers

Answer:

[tex]( - 2)[/tex]

Step-by-step explanation:

Given that

[tex]a = 4 \\ b = - 2 \\ c = 8[/tex]

Let's solve now

[tex]a - b - c[/tex]

[tex]4 - ( - 2) - 8 \\ 4 + 2 - 8 \\ 6 - 8 \\ - 2[/tex]

Given

a = 4

b= -2

c= 8

To find out:

Find the value of a - b - c ?

Solution:

a - b - c

Putting the value in the above

4 - ( - 2 ) - 8

4 + 2 - 8 [ - - = + ]

6 - 8

-2

find the minimum maximum and domain and range of the functions
h(x) = -x² + 4x - 2​

Answers

Domain (-infinity,infinity)

Min(?

max(2,2)

Is this a scalene triangle if not what?

Answers

Answer:

Yes

Step-by-step explanation:

the triangle is scalene because all of the side lengths have different measurements

_______________________________

Yes, it is a scalene triangle.

We can say it is a scalene triangle because none of the sides are equal in the given figure.

Hope it helps..

Good luck on your assignment

____________________________

FAST ANSWER PLZ
Describe a way that you can remember the elements of the reflection matrices if you forget where the 1s, -1s, and 0s belong.

Answers

Answer:

Associate the numbers or coordinates with something in your life. Think of it from every possible aspect. For example, number 7. I just think of it as "7 is half of 14, there are 7 days in a week, 7 can be said as 70, which means 7 tea cups. See like that, now when you try and remember the numbers, you are able to pick up on these trail of thoughts are trace it back to its origin, which here is 7.

Answer:

Multiplying the vertex matrix with the matrix gives us a reflection matrix. The most common matrix reflections are seen as a reflection in the x-axis as well as reflection in the y-axis. It can also be reflected by  90 degrees or by 180 degrees. So, one way to remember the elements is by multiplying the given matrix by a unit matrix. And on the other hand, you can remember the elements remembering by what degree we are reflecting the matrix. This way makes it easier to remember the elements.

Step-by-step explanation:

100% on edge2020

a box is 24cm by 15cm by 10cm. this box will packed with smaller boxes of paper clips which are 6cm by 3cm by 5cm . what is the largest number of boxes of paper clips that will fit in the bigger box?​

Answers

Answer:

40 boxes

Step-by-step explanation:

box = 24 x 15 x 10 = 3600 cm

1 paper clip box = 6 x 3 x 5 = 90 cm

3600/90 = 40

so 40 boxes of paper clips will fit

Answer:

40 boxes

box = 24 x 15 x 10 = 3600 cm

A paper clip box = 6 x 3 x 5 = 90 cm

3600/90 = 40

so 40 boxes of paper clips

Hira is rollerblading at 9 m/s. Danni is climbing at 7 m/s. Amelia is cartwheeling at 2 m/s.

Who will travel the furthest in 15s?

Answers

Answer:

Hira

Step-by-step explanation:

They are going at the fastest speed as 9 is the most

Answer:

Hira

Step-by-step explanation:

Select the best answer for the question
9. The perimeter of a church window is 80 inches. If the window is in the shape of a square, what is the length of each side of the window?
A. 20 inches
fold
B. 15 inches
C. 60 inches
D. 40 inches

Answers

Answer:

the answer is20 inches

Step-by-step explanation:

a square has 4 sides so you divide the total of 80 by 4.

80÷4=20

Simplify 2x + x. What is the answer to this?

Answers

Answer:

3x

Step-by-step explanation:

2x+x = 3x

Answer:

3x

Step-by-step explanation:

2x + x.

Factor out the x

x(2+1)

x(3)

3x

Graph the linear equation.

Answers

Answer:

Look at the image

Step-by-step explanation:

Which system of equations best represents the situation below?
A farmer grew his own tomatoes (a), eggplants (b), and potatoes (c). He decided to package his vegetables and price them as follows:
2 tomatoes, 1 eggplant, 3 potatoes for $10
3 tomatoes, 2 eggplants, 4 potatoes for $14
4 tomatoes, 2 eggplants, 6 potatoes for $20

Answers

Answer:

A.

2a +b+3c =10

3a+2b+4c=14

4a+2b+6c=20  

Step-by-step explanation:

Hi, to answer this question we have to write a system of equation with the information given:

The price of each package will be equal to sum of the products of each vegetable (a,b or  c) and their respective amount :

So:

2 tomatoes, 1 eggplant, 3 potatoes for $10

2a +1b+3c =10

3 tomatoes, 2 eggplants, 4 potatoes for $14

3a+2b+4c=14

4 tomatoes, 2 eggplants, 6 potatoes for $20

4a+2b+6c=20

The system is:

2a +b+3c =10

3a+2b+4c=14

4a+2b+6c=20  

(option A)

Feel free to ask for more if needed or if you did not understand something.

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