sum of first n terms of an ap sequance is 3n2+5n.what is the sum of its first n+1 terms.find the sum of its first 10 terms.



Answers

Answer 1

Answer:

a) 3n^2 + 11n + 8

b) 350

Step-by-step explanation:

10) 3(10^2)+ 5*10 = 350

n+1) 3(n+1)^2 + 5(n+1)

        3(n^2 + 2n + 1) + 5n+5

         3n^2 + 6n+3 + 5n + 5

           3n^2 + 11n + 8


Related Questions

Question 24 plz show ALL STEPS

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) The first 5 partial sums are listed in the table in the attachment.

__

b) Sigma notation makes use of the general term shown:

  [tex]\displaystyle\sum_{n=1}^\infty{\frac{3^n+(-2)^n}{6^n}}[/tex]

__

c) The sum appears to be close to 3/4. (For large n, a calculator cannot evaluate the terms of the series--they are too small.) The attachment shows the 100th sum to be rounded to 3/4 (from 12 significant digits).

I need help ASAP please and thank you

Answers

9514 1404 393

Answer:

  C. 4 +√(x+5)

Step-by-step explanation:

The sign between the terms changes to form the conjugate. The radical contents are unchanged.

The conjugate of 4 -√(x+5) is 4 +√(x+5).

_____

Additional comment

The utility of a conjugate is that the product of a number and its conjugate is the difference of two squares. The squares are intended to remove an undesirable feature of the number, its imaginary part or its irrational part, for example. Here, the product of the number and its conjugate would be ...

  (a -b)(a +b) = a² -b²

  4² -(√(x+5))² = 16 -(x +5) = 11 -x . . . . no longer contains a root

Jean can swim 100 meters in 1.86 minutes. Sean can swim the same distance in 2.12 minutes.

Answers

please where is the question

If x/4-y/6=1/6 and y/z=1/2, then what is the value of 3x-z?
A. 4
B.6
C. 3
D. 2
E. None​

Answers

Answer:
D. 2
Explanation

please help me with this
Evaluate -8 × |2|.

Answers

Answer:

-16

Step-by-step explanation:

The absolute value of 2 is 2 so -8*2=-16

What is the slope of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-6,-9)(−6,−9)left parenthesis, minus, 6, comma, minus, 9, right parenthesis?

Answers

Answer:

Step-by-step explanation:

Slope of line through (-9,6) and (-6,-9) = (-9 - 6)/(-6 - (-9)) = (-15)/(3) = -5

point-slope equation for line of slope -5 that passes through (-9,6):

y-6 = -5(x+9)

Answer:

1/2

Step-by-step explanation:

because i answered it on khan academy and it was right

Slope=  

Run

Rise

=  

Change in x

Change in y

start text, S, l, o, p, e, end text, equals, start fraction, start text, R, i, s, e, end text, divided by, start text, R, u, n, end text, end fraction, equals, start fraction, start text, C, h, a, n, g, e, space, i, n, space, end text, y, divided by, start text, C, h, a, n, g, e, space, i, n, space, end text, x, end fraction

Hint #22 / 3

\begin{aligned} \text{Slope}&=\dfrac{9-6}{-3-(-9)} \\\\ &=\dfrac{3}{6} \\\\ &=\dfrac{1}{2} \end{aligned}  

Slope

 

=  

−3−(−9)

9−6

 

=  

6

3

 

=  

2

1

 

 

Hint #33 / 3

The slope is \dfrac{1}{2}  

2

1

start fraction, 1, divided by, 2, end fraction.

***URGENT***
PLEASE HELP ME ASAP, ITS DUE TODAY!!!
............................................................

T is the point on AB such that AT:TB = 5: 1. Show that ot is parallel to the vector a + 2b.

Answers

Step-by-step explanation:

SO, OT is parallel to the vector a+2b

MY NOTES Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = 2x2 − 4x + 3, [−1, 3

Answers

Answer:

b)  [tex]c=1[/tex]

Step-by-step explanation:

From the question, we are told that:

Function

[tex]F(x)=2x^2-4x+9[/tex]

Given

Rolle's theorem states that if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b.

Generally, the Function above is a polynomial that can be Differentiated and it is continuous

Where

-F(x) is continuous at (-1,3)

-F(x) Can be differentiated at (-1.3)

-And F(-1)=F(3)

Therefore

F(x) has Satisfied all the Requirements for Rolle's Theorem

Differentiating F(x) we have

[tex]F'(x)=4x-4[/tex]

Equating F(c) we have

[tex]F'(c)=0[/tex]

[tex]4(c)-4=0[/tex]

Therefore

[tex]c=1[/tex]

a day? 6. If 18 pumps can raise 2150 tonnes of water in 50 days, working 8 hours a day, how much water will be raised in 60 days by 16 out of which 10 are working 9 hours a day and the rest 7 hours a day?

Answers

Given, 18 pumps----2170 tonnes----10*7 hrs.
So, 16 pumps-------2170 tonnes----10*7*18/16 hrs.
And, 16 pumps-------1736 tonnes----10*7*(18/16)*(1736/2170)hrs. = 63 hrs.

So, no. of days req.= 63/9 = 7 days

how do you get rid of the fractions

Answers

Answer:

x = - 12/11

Step-by-step explanation:

Multiply by LCM (or LDC if you like that term better)

2 & 3 LCM = 6

6(3/2) x  + 6(1/3)x  + 5*6 = 3*6

9x + 2x + 30 = 18

11x = - 12

x = - 12/11

Solve for
x
Round to the nearest tenth, if necessary.

Answers

9514 1404 393

Answer:

  x = 5.0

Step-by-step explanation:

The tangent relation is helpful:

  Tan = Opposite/Adjacent

  tan(50°) = x/4.2

  x = 4.2·tan(50°) ≈ 5.0054 . . . . multiply by 4.2

  x ≈ 5.0



What is the image point of (4, -6) after a translation right 5 units and up 4 units?

Answers

Answer:

(9,-2)

Step-by-step explanation:

5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them.  Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)

What is the value of p?

A. 125°
B. 45°
C. 35°
D. 550

Answers

Answer:

C- 35 °

Step-by-step explanation:

Interior angle adjacent to 90° angle = 90° (supplementary angles of a line segment).

Interior angle adjacent to 125° angle = 55° (supplementary angles of a line segment).

Sum of two interior angles of the triangle = 55+90 = 145°

∠p = 180° - 145° = 35°

C. 35° if you take the adjacent angle of 125° and subtract this from 180° you are left with 55°. Add this to the other 90° and you get 145°. You can then take 180°-145° to get 35°.

did from six times a certain number the result is 96 what is the number​

Answers

Answer:

The number is 16

Step-by-step explanation:

Number : x

Procedure and resolution:

6x = 96

x = 96/6

x = 16

Good Luck!
6x= 96
6/6x=96/6
X= 16

What is the simplified form of the following expression? Assume x > 0.
3
2x
16x
2x
4/24x²
2x
4/2443
16x4
124²

Answers

Answer:

fourth root of 24 x cubed/16x to the power four

List the stem numbers below!!

Answers

Answer:

see below

Step-by-step explanation:

The stems are in the middle and the leaves are on the left and right

Stems are 0,1,2,3,4,5

A plot of land in the shape of a horizontal ellipse has a pole at each focus. The foci are 16 feet from the center. If the plot of land is 40 feet across one axis, how long is it across the other axis?

a. 34 feet
b. 46 feet
c. 24 feet
d. 30 feet

Answers

Answer: 24 feet

Step-by-step explanation: i just guessed it on pluto and got it right. please leave a like if it worked

The length of another axis for the given ellipse will be around 25.6125 feet so none of the options will be correct.

What is an ellipse?

a regular oval form produced when a cone is cut by an oblique plane that does not intersect the base, or when a point moves in a plane so that the sum of its distances from two other points remains constant.

In another word, an ellipse is a curve that becomes by a point moving in such a way that the sum of its distances from two fixed points is a closed planar curve produced.

General equation of an ellipse

(x 2 / a 2 )+ (y2 / b 2 )= 1

Given that

the plot of land is 40 feet across one axis

so  2a = 40 feet

a = 20 feet

The foci are 16 feet from the center so

c = 16

Now we know that

c = √(b² - a²)  

c² = b² - a²

16² = b² - 20²

b = 25.6125  

So, the length of the minor axis will be around 25.6125 feet.

To learn more about ellipse,

https://brainly.com/question/14281133

#SPJ2

Which best describes the relationship between the line that passes through the points (-6,5) and (-
2,7) and the line that passes through the points (4, 2) and (6, 6)?

Answers

Answer:

Slope passes through (-6, 5) and (-2, 7)

[tex]m_1=\frac{y_2-y_1}{x_2-x_1} =m_1=\frac{7-5}{-2+6}[/tex]

[tex]m_1=\frac{2}{4} =\frac{1}{2}[/tex]

Slope passes through (4, 2) and (6, 6)

[tex]m_2=\frac{6-2}{6-4}[/tex]

[tex]\frac{4}{2} =2[/tex]

[tex]m_1\times m_2 \neq -1[/tex] [tex]m_1\neq m_2[/tex]

Answer:- A) neither perpendicular nor parallel.

OAmalOHopeO

b) solve by factorisation
[tex]x { }^{2} + x - 72 = 0[/tex]

Answers

QUESTION:- SOLVE EQUATION BY FACTORISATION

EQUATION:-

[tex] {x}^{2} + x - 72 = 0[/tex]

ANSWER:-

[tex] {x}^{2} + x - 72 = 0\\{x}^{2} + 9x - 8x - 72 = 0 \\ x(x + 9) - 8(x +9) = 0 \\ (x - 8)(x + 9) = 0 \\ [/tex]

NOW FOR VALUE OF X ->

[tex]x - 8 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x + 9 = 0\\ x = 8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = - 9[/tex]

The graph of a linear function is given below. What is the zero of the function?

Answers

Answer:

Need to see the problem, but the "zero of the function" is the x value when y=0.

Substitute '0' for y.

Solve for x

Answer: D

Step-by-step explanation:

Venn diagrams: unions, intersections, and complements

Attached is the photo reference

Answers

Answer:

a) 0

b) 2,3,4,5,6,7

c)3,4,6,7

Step-by-step explanation:

A team wishes to purchase 10 shirts of the same color. A store sells shirts in 3 different colors. What must the inventory of the store be in order to conclude that there are at least 10 shirts in one of the three colors?

Answers

Answer:

30

Step-by-step explanation:

A certain freezing process requires that room temperature be lowered from 35oC at the rate of 6oC every hour. What will be the room temperature 8 hours after the process begins?​

Answers

Answer:

-13 degrees celcius.

Step-by-step explanation:

6 degrees are lowered every hour. 6*8 = 48 degrees, 48 degrees are lowered.

35-48 is -13. The room temperature will be -13 eight hours after the process begins.

An object is moving at a speed of 5 kilometers every 4.5 hours. Express this speed in miles per minute

Answers

Answer:

Step-by-step explanation:

1 km = 0.621 mi

1 hr = 60 min

(5 km)/(4.5 hr) × (0.621 mi)/km × (1 hr)/(60 min) = (0.0115 mi)/min

find the surface area of the prism HURRY

Answers

Answer:

Does the answer help you?

salifye pizza charges a base pizza of $12.77 for large plus 7.44 additional topping.
a) Find a function that models the price of a pizza with toppings.
Find the inverse of the function. What does−1 represent?
If a pizza costs $20.20, how many toppings does it have?

Answers

Answer:

Sharjah Call Girls +971529238486 | Call Girls In Sharjah

Step-by-step explanation:

Sharjah Call Girls and our group are very a good deal satisfied to participate withinside the boom of the leisure field. Lots of customers are touring Sharjah now no longer handiest for playing the splendor of the town however additionally to the sensual entertainments our profiles.

A plane flying horizontally at an altitude of 3 mi and a speed of 460 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 4 mi away from the station (Round your answer to the nearest whole number.) 368 X mi/h Enhanced Feedback Please try again. Keep in mind that distance - (altitude)2 + (horizontal distance)? (or y = x + n ). Differentiate with respect to con both sides of the equation, using the Chain Rule, to solve for the given speed of the plane is x.

Answers

Answer:

[tex]\frac{dy}{dt}=304mi/h[/tex]

Step-by-step explanation:

From the question we are told that:

Height of Plane [tex]h=3mi[/tex]

Speed [tex]\frac{dx}{dt}=460mi/h[/tex]

Distance from station [tex]d=4mi[/tex]

Generally the equation for The Pythagoras Theorem is is mathematically given by

[tex]x^2+3^2=y^2[/tex]

For y=d

[tex]x^2+3^2=d^2[/tex]

[tex]x^2+3^2=4^2[/tex]

[tex]x=\sqrt{7}[/tex]

Therefore

[tex]x^2+3^2=y^2[/tex]

Differentiating with respect to time t we have

[tex]2x\frac{dx}{dt}=2y\frac{dy}{dt}[/tex]

[tex]\frac{dy}{dt}=\frac{x}{y}\frac{dx}{dt}[/tex]

[tex]\frac{dy}{dt}=\frac{\sqrt{7}}{4} *460[/tex]

[tex]\frac{dy}{dt}=304.2614008mi/h[/tex]

[tex]\frac{dy}{dt}=304mi/h[/tex]

convert the following to decimal fractions 99 by 5 ​

Answers

Answer:

divide 99 by 5

99/5= 19.8

1% defective parts. 100,00 parts made in total. The number of defects made should equal?

Answers

Answer:

1,000 defects

Step-by-step explanation:

Find how many defects that should be made by finding 1% of 100,000:

100,000(0.01)

= 1000

So, there should be 1,000 defects

hi plz help ASAP tyyy ^^​

Answers

Answer:

26.75 units²

Step-by-step explanation:

This shape can be split into 3 triangles and a square. Find the area of each shape then add them all up.

[tex]A(Square)=2(2)=4\\\\A(Triangle)=\frac{1}{2}(2)(2)=2\\\\A(Triangle)=\frac{1}{2}(5)(2)=5\\\\A(Triangle)=\frac{1}{2}(9)(3.5)=15.75\\\\A(Shape)=4+2+5+15.75=26.75[/tex]

Therefore, the area of the shape is 26.75 units².

Other Questions
would Nepal be so beautiful if it were a plain, hill or mountain only ? discuss ^ means to the power, / indicationg fraction.PLEASE IF YOU CAN ANSWER AND EXPLAIN TYVM!1. simplify. 32^2/5. 32 raised to the power of 2 over 3(fraction)27. the function f is definded belowf(x) = x^2+x-30/ x^2-10x+21find all variables that are NOT in the domain of f13. factor the following expression 16vx^3y^4+28v^5x^68. simplify, write answer without parentheses(w^2/-3v^4)^224. solve for x 8=3/x-211. solve the following ewuation for RQ=i^2Rt/J16. solve for v 5v^2=-21v-4 The Lamborghini Huracan has an initial acceleration of 0.85g. Its mass, with a driver, is 1510 kg. If an 80 kg passenger rode along, what would the car's acceleration be? fill in the blink Given ,Simplify ,BC=EF ,Multiplication Property of Equality ,Substitution Property of Equality AC=DF DE+EF=DF Reflexive Property of Equality Transitive Property of Equality ,Segment Addition Postulate, Division Property of Equality ,Addition Property of Equality, Distributive Property, Subtraction Property of Equality pls answer fast I need to submit in 5 mins !!What is the volume of the prism?Enter your answer, as a mixed number in simplest form, in the box. 3/x + 4/5 = 11/10 For what value of x is the equation above true?A) 3B) 5C) 7D) 10 True/False: Chemical reactions can NOT proceed in the reverse direction Summarize what responsibilities scientist have and why: What is the figurative meaning of the excerpt?The birds cage has been placed so that it overlooks a cemetery.The birds cage is so small that it cramps his wings and feet.The caged bird has had his hope destroyed.The caged bird is thinking very serious thoughts. one similarity and one difference between the governments of Germany and britain What is the tangential speed of a point on a wheel of a car if the point is located 0.114 m from the axis of rotation; and the wheel is rotating at 6.53 rev/sec? True or false: Verbs that indicate movement or place of origin are typically used with a preposition. How long must a 40.0 amp current flow through a solution of iron(III) chloride in order to produce 5.00 moles of iron? In a survey of 302 registered voters, 167 of them wished to see Mayor Waffleskate lose her next election. Find a point estimate for the proportion of registered voters who wish to see Mayor Waffleskate defeated. Which length is equivalent to 12 yards?4 feet9 feet15 feet36 feet A,b,c are consecutive perfect squares.How many natura numbers are lying between a and c, if a>0 if sneezing is the response to smelling food is it conditioned or unconditioned Which of the following was a mainreason for Adolf Hitler deciding to takeover Austria first?A. Austria was Hitler's home nation.B. Austria had declared war on Germany.C. Austria had been a German enemy in World War I.D. Austria asked Hitler to annex them into Germany. Express as a trinomial.(2x-6)(2x-8) an is an administrative assistant. While she is good at her job, she often feels copious amounts of stress because she is constantly interrupted in her work because her desk happens to be by the front entrance to the office. Which organizational factor seems to be most affecting Jan's stress