11, 20, 29, ...
Find the 43rd term.

Answers

Answer 1

Answer:

389

Step-by-step explanation:

20 - 11 = 9

29 - 20 = 9

This is a geometric sequence with a common difference of 9.

a_1 = 11

a_2 = 11 + 9

a_3 = 11 + 2 × 9

...

a_n = 11 + (n - 1) × 9

a_43 = 11 + (43 - 1) × 9

a_43 = 11 + 42 × 9

a_43 = 389

Answer 2

Hence, the [tex]43[/tex]rd term is [tex]389[/tex].

What is the sequence?

A  sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is [tex]11, 20, 29, ...[/tex]

Here,

[tex]a=11\\\\d=a_2-a_1\\d=20-11\\d=9[/tex]

The general formula is

[tex]a_n=a+(n-1)d[/tex]

where,

[tex]a_n[/tex] is the [tex]n[/tex]th term

[tex]a[/tex] is the first term

[tex]n[/tex] is the number of terms

[tex]d[/tex] is the common difference

Substituting the values in the general formula

[tex]a_n=a+(n-1)d\\\\a_{43}=11+(43-1)9\\\\a_{43}=11+(42)9\\\\a_{43}=11+378\\\\a_{43}=389[/tex]

Hence, the [tex]43[/tex]rd term is [tex]389[/tex].

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Related Questions

Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = 16

Answers

Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

-4x - 4y = 16 <== add 4x to both sides

+4x         +4x

-4y = 4x + 16 <== divide both sides by -4

/-4      /-4

y = -x - 4

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

-4x-4y=16

Convert to y=mx+b form

-4y=4x+16y=-x-4

Slope:-

m=-1

Parallel lines have equal slope

Perpendicular line's slope=1

When you are graphing a proportion or a percent, what should you look at to help you understand the bigger picture?.

Answers

Answer:

Or the rate of change. The percentage change.

Slope.

ello mate, i need help with this here question can you help a girl out and if ya do ill give you brainlist :D

Answers

Answer:

B

Step-by-step explanation:

Add the value of the dots

0 + 3/8 + 3/8 + 4/8 + 5/8 + 7/8 =   22/8 = 2 6/8

Hello people ~
Sketch the graph for y=cot ^-1 (cot x)

Answers

Answer:

      [tex]\sf y=cot^{-1}(cot(x))[/tex]

[tex]\sf \implies cot(y)=cot(x)[/tex]

[tex]\sf \implies \dfrac{1}{tan(y)}=\dfrac{1}{tan(x)}[/tex]

[tex]\sf \implies tan(x)=tan(y)[/tex]

[tex]\sf \implies y=x[/tex]

[tex]\sf \implies y=x\pm\pi n[/tex]

Which of the following is not a congruence transformation?
A. Rotating
B. Translating
C. Stretching

Answers

[tex]\bold{Heya!}[/tex]

Your answer to this is :

C. Stretching.

→ Explanation:-

Because the other one is congruent together.

Hopefully This Helps ! ~

#LearnWithBrainly

[tex]\underline{Answer :}[/tex]

Jaceysan ~

Answer:

I believe your answer is C. Stretching.

Step-by-step explanation:

When you rotate an object your keeping its congruence the same or keeping the shape the same size, while rotating it around a point, same goes for Translating, with translating, your just moving an image from its starting point, also having it keep the same congruence, but with stretching, you are distorting the shape making it bigger/smaller than the original shape so it looses its congruence making it no longer congruent.

A mixed economy is dependent only on the choices of individuals and businesses a combination of individual choice and government protection where people produce and trade traditional goods completely based on government decisions

Answers

Answer:

In general, a mixed economy is "a combination of individual choice and government protection," although the balance tends to lean more towards individual choice.

Answer:

a combination of individual choice and government protection

Step-by-step explanation:

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal at y = negative 1. Everything above the line is shaded. The second dashed line has a negative slope and goes through (negative 2, 1) and (0, 0). Everything below the line is shaded. A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, since it was dropped. Which constraint could be part of the scenario? The pool is 1 meter deep. The pool is 2 meters deep. The toy falls at a rate of at least a Negative one-half meter per second. The toy sinks at a rate of no more than a Negative one-half meter per second

Answers

y≥x-2

x+2y⊂4

hoping that your answer

Josef owns four par value $1,000 bonds from dowc beverage co. each bond has a market value of 104.561 and gives 9.2% interest. josef also owns 170 shares of stock in dowc beverage co. stock in dowc beverage co. has a share price of 26.25 and pays a dividend of $2.38. if the broker josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold, which aspect of josef’s investment in dowc beverage co. has a greater percent yield, and how much greater is it? a. the stocks have a yield 2.15 percentage points higher than that of the bonds. b. the stocks have a yield 0.27 percentage points higher than that of the bonds. c. the bonds have a yield 1.35 percentage points higher than that of the stocks. d. the bonds have a yield 2.08 percentage points higher than that of the stocks.

Answers

Josef’s investment in dowc beverage co. has a greater percent yield when the bonds have a yield 1.35 percentage points higher than that of the stocks.

What is market value?

Market value is the current price of a product, company, or something consorting to the stock of the market.

The investment of Josef are,

Josef owns four par value $1,000 bonds from dowc beverage co. each bond has a market value of 104.561 and gives 9.2% interest. Josef also owns 170 shares of stock in dowc beverage co. stock in dowc beverage co. has a share price of 26.25 and pays a dividend of $2.38.

The broker josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold.

At the bond value 1.35 percentage higher than the stock gives will give him greater percent yield among all the options.

Thus, the Josef’s investment in dowc beverage co. has a greater percent yield when the bonds have a yield 1.35 percentage points higher than that of the stocks.

Learn more about the market value here;

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What is the measurement of < F

Answers

Answer:

Option C - 65°

Step-by-step explanation:

Since the side lengths of this triangle are equal this triangle is an isosceles:

Because the triangle is an isosceles the base angles are equal so

∠G = ∠F = 65°

hello! this is an isosceles triangle, meaning that two sides are congruent.
angle g and angle f are also congruent so angle f is 65 degrees

Area of composite shapes
The following shape has 1 pair of
parallel sides.
7
2
7
8
*
-
-
-
3
What is the area of the shape?
CI
units?

Answers

Answer: 76

Step-by-step explanation:

The area of the given composite figure is 76 square units.

What is area?

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The given composite figure has three parts, two triangles and one rectangle.

Area of small triangle = 1/2 ×8×2

= 8 square units

Area of large triangle = 1/2 ×8×3

= 12 square units

Area of rectangle = Length×Height

= 8×7

= 56 square units

Total area = 8+12+56

= 76 square units

Therefore, the area of the given composite figure is 76 square units.

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What is the volume of this cube?

Answers

Answer: 1 inc^3

Step-by-step explanation:

V = A^3

Where a = side

V = 1 ^3

V = 1 inch^3

Or in meteres it is 1.6387064e-5

Step-by-step explanation:

HOPE THIS HELPS IF NOT SORRYYYY !!!!!

What is the missing value in this calculation?
2/13+ ?/13=6/13

Answers

Answer:

? = 4

Step-by-step explanation:

2/13 + ?/13 = 6/13        (Given)

-2/13               -2/13      (Isolate the unknown through subtraction)

?/13 = 6/13 - 2/13        

?/13 = 4/13                    (Combine like terms)

? = 4

Because the demoninators are the same, the unknown value can be found using isolation techniques. To find the unknown, subtract 2/13 from both sides. This eliminates the 2/13 from the right side while obeying the rule that states that what is done to one side must to done to the other. This leaves the ?/13 by itself on the right and 4/13 on the left. Again, because the demoninators are identical, the unknown value must be 4.

The answer probably is 4

10, 3, 17, 1, 8, 6, 12,

Answers

Hey! More context pls!

A $24.99 shin is on sale for 15% off. You have a coupon that will take an additional 10% off, after the first coupon. Your friend says. "Why don't they just take 25% off? It's the same amount!" She then adds. "Isn't it? How do you respond? Justify your answer. Do not round!

also its due on Thursday April 14​

Answers

Answer:

Its not the same

Step-by-step explanation:

Hey there!

I would respond to him by telling him that its first 15% off then you can add the 10%

First, you would take out the 15% from $24.99 which would make the price $21.25.

Then you would take out the 10% which makes the final price $19.13

This is because the 10% was added later.

If you took out 25% in the begining the final price would be $18.75 not $19.13

9. A man bought a calculator for Rs 1450 and sold at a loss of 12% Find the loss amount Hi. Find the selling price of the calculator.​

Answers

Price of calculator=₹1450Sold at a loss=12%

Loss amount:-

12% of 14500.12(1450)₹174

Hence

Selling price:-

Price-loss1450-174₹1276

Answer:

1276 rupees

Step-by-step explanation:

Given

Price = 1450Loss % = 12%

Solving

Selling price = 1450 x (100 - 12%) [as it a loss]1450 x 88%1450 x 0.881276 rupees

Thirty percent of what number is 123?

Answers

The answer is 410

Hope this helps!!

Answer:

30% also means 30/100 in fraction form.

(Think of the root 'per' in percent to be per a 100.)

The keyword 'of' means multiplication.

'X' will be the unknown number aka the part that says ('-what number').

And 123 will represent the result.

Set up equation;

30/100 · x = 123

Then solve for x;

30/100x = 1230.3x = 123÷ 0.3   ÷ 0.3x = 410

So your answer is 410.

Puzzle in the picture. explain how you did it, the answer should be 23.

Answers

Answer:

Bro you have got the answer as 17 I don't know how

Step-by-step explanation:

Please mark me as brainliest

What is the value of x?
Enter your answer in the box.
units

Answers

Answer:

x=27

Step-by-step explanation:

the attached photo might help you

What scale factor was used to dilate STUV to S’T’U’V?

A. 0.20
B. 0.50
C. 0.25
D. 0.75

Answers

Answer: C. 0.25

Step-by-step explanation:

Large Shape: S (-4, 12)   T (2, -4)    U (6, -8)   V (-12, -8)

Small Shape: S (-1, 3)   T (0.5, -1)    U (1.5, -2)   V (-3, -2)

For the smaller shape the distance between V and U is 4.5

For the larger shape the distance between V and U is 18

So when you divide [tex]\frac{4.5}{18}[/tex] you should get 0.25

S: [tex]\frac{-4}{-1}=4[/tex]     [tex]-4 *0.25=-1[/tex]

T: [tex]\frac{2}{0.5}=4[/tex]     [tex]2*0.25=0.5[/tex]

U: [tex]\frac{6}{1.5}=4[/tex]     [tex]6*0.25=1.5[/tex]

V: [tex]\frac{-12}{-3} =4[/tex]    [tex]-12*0.25=-3[/tex]

I hope this helps

Please explain someone!!!

Answers

Answer: 1 and 2

Step-by-step explanation: 1 and 2 because if you are graphing this the formula to find the slope / the line is y = x + some number. In the formula x is how much the line goes from the x axis and the number is how much it is from the y axis. On #2 the problem is 3y = 2x + 4 so to follow the formula you need to divide both sides by 3 to get y = 2/3x + 4. For #3 you do the same thing to get y = -3/2x -5. Finally for #1 the equation is 2x + 3y = 7 so to get the slope / line you need to put x on the other side so now it is 3y = 7-2x then you divide both sides by 3 and get y = -2/3x + 7 and on 1 and 2 there x is 2/3 (the negative doesn't matter and the random number) so they are parallel.

0.4 divided by 29 equally is?

Answers

Answer:

72.5 (Not rounded)

Hope this helps!

I wasn't sure if it was 180 so I decided to post it

Answers

Answer:

25

Step-by-step explanation:

These angles are supplementary, or add up to = 180 degrees:

(2x + 10) + (4x + 20) = 180

6x + 30 = 180

6x = 150

x = 25

Let's check our work:

2(25) + 10 = 60

4(25) + 20 = 120

60 + 120 = 180 degrees :)

Good luck!

Answer:

x = 25

Step-by-step explanation:

[tex](2x+10)+(4x+20)=180^{o}[/tex]

[tex]6x+30=180[/tex]

[tex]6x=180-30[/tex]

[tex]6x=150[/tex]

[tex]x=150/6[/tex]

[tex]x=25[/tex]

Hope this helps

What is 85% of 21?
I need to know for school because we're doing this project.

Answers

Answer:

85% of 21 is 17.85.

hard question help!!!!

Answers

Answer:

A

Step-by-step explanation:

You can do 22/4 and that will give you 5.5. Since A gives the multiply chart for 5.5 to 4, the answer is A

Please tell me how to solve for the area cause I thought the formula was ab/2

Answers

Answer:

Step-by-step explanation:

(a). 5.33 m

(b). 41.65 m²

2.56x+0.14-187x
How to solve pls and answer

Answers

STEP
1
:

187
Simplify ———
100
Equation at the end of step
1
:

256 14 187
((———•x)+———)-(———•x)
100 100 100
STEP
2
:

7
Simplify ——
50
Equation at the end of step
2
:

256 7 187x
((——— • x) + ——) - ————
100 50 100
STEP
3
:

64
Simplify ——
25
Equation at the end of step
3
:

64 7 187x
((—— • x) + ——) - ————
25 50 100
STEP
4

Solve x2 14x = −24 by completing the square. what is the solution set of the equation?

Answers

Answer:

(-12, -2)

Step-by-step explanation:

Rearrange the equation --> x^2 + 14x + 24 = 0

Split 14x into 12x + 2x --> x^2 + 12x + 2x + 24 = 0

Group --> x(x + 12) + 2(x + 12) = 0, (x + 12)(x + 2) = 0

Find roots:

x + 12 = 0, x = -12

x + 2 = 0, x = -2

The solution of the given expression [tex]\rm x^{2} +14x = -24\\[/tex] by completing the square method is 12 and  -2.

The given expression is

[tex]\rm x^{2} +14x = -24\\[/tex]

What is completing the square method?

In completing the square, we take half of the coefficient of the middle term and then square it. Then we add it to both sides of the equation

Here coefficient of middle term x is +14.

So, 14/2 = 7

square of 7 is 49

[tex]\rm x^{2} +14x +49= -24+49\\\rm (x+7) (x+7)=25\\\rm (x+7)^{2} =5^{2} \\\rm x+7 =5[/tex]

x+7 = 5 and x+7 = -5

Solve for x by subtracting 7 on both sides

x = -2  and x= -12

Solution set is {-12, -2}

Learn more about completing the square;

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What is the result of subtracting 4x + 3xy + 2y
from 5x + 3xy + 6y ?
1. x² + 47
x + 4y
8. -X- 4y
-x
C. -X – 4y
-
D. x² + 4y

Answers

D. x + 4y

5x - 4x = x
3xy - 3xy = 0
6y - 2y = 4y

What is 2x+3+8x=3x+9x+7

Answers

Answer:

x=-2

Step-by-step explanation:

Hey there!

In order to solve this equation, you need to combine like terms

The equation after combining the x terms and the contants will look like this

10x+3=12x+7

Now you have to take 10x away from both sides

3=2x+7

Now bring all the constants to the left side

3-7=2x

Simplify

-4=2x

divide 2 on both sides to get x by itself

x=-2

So, the answer is x=-2

Find the surface area of a rectangular prism that has the following dimensions.
length: 4.5 in.
width: 6 in.
height: 12 in.
surface area = in^2

Answers

The expression for the total surface area of rectangle was used, with all values rightly plugged in, the total surface area is 306 in^2

Surface area of Solids

Given Data

Length = 4.5 inchWidth = 6 inchHeight = 12 inch

We know that the expression used in finding the surface area is given as

Surface area of rectangular prism =2(wl+hl+hw)

Substituting our given data into the formula we have

=2(6*4.5+12*4.5+12*6)

=2(27+54+72)

=2(153)

= 306 in^2

Learn more about area of shapes here:

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Answer:

306

Step-by-step explanation:

I didn't know till I saw the other persons answer. Please give them branliest.

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