The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
158, 155, 152, ...
Find the 34th term

Answers

Answer 1

The 34th term of the sequence 158, 155, 152 ...... is 59

The sequence is as follows:

158, 155, 152 ......

let

a = first term = 158

d = common difference = 155 - 158 = -3

Using Arithmetic progression formula, let's find the 34th term as follows:

aₙ = a + (n - 1)d

a₃₄ = 158 + (34 - 1)-3

a₃₄ = 158 + (33)(-3)

a₃₄ = 158 - 99

a₃₄ = 59

Therefore, the 34th term of the sequence is 59.

learn more about sequence here: https://brainly.com/question/23251262?referrer=searchResults


Related Questions

Solve, 7x-5y=20
-8x-3y=12

Answers

Answer:

x=0 y=-4

Step-by-step explanation:

The perimeter of a rectangle is 80 inches. The length of the rectangle is 12 inches.

Which equation could represent the width of the rectangle, w?

Answers

Answer:

That will be 7

Step-by-step explanation:

The equation that represents the width of the rectangle will be 2(L + W) = 80. And its width is 28 inches.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The perimeter of a rectangle is 80 inches. The length of the rectangle is 12 inches. Then the equation is given as,

2(L + W) = 80

2(12 + W) = 80

12 + W = 40

W = 40 - 12

W = 28 inches

The equation that represents the width of the rectangle will be 2(L + W) = 80.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2

geometry PLEASE HELP and explain how???

Answers

Answer:

x means times

Step-by-step explanation:

If I have a discriminate value of -3, how many solutions and what type will I have?

Answers

Answer:

0

Step-by-step explanation:

If b^2 - 4ac is less than 0, it will not have any real roots/solutions so you would not get any solutions in this case.

The function f is defined below.
f(x)=−2x−3
Find f(1).

Answers

Answer:

[tex]f(1)=-5[/tex]

Step-by-step explanation:

[tex]f(1)=-2(1)-3\\\\f(1)=-2-3\\\\f(1)=-5[/tex]

f(1) means to substitute x with 1 or that x=1. So since x=1  you will substitute it in where x is and then solve like a regular equation which will give you -5.

y + 4= -6
Find the slope and the Y-intercept of the graph of this equation

Answers

Slope: 0
Y-intercept (0,-8)

Please help with this math problem!! IT'S DUE TONIGHT AT 11:59PM!! NO LINKS PLEASE!! :)

Answers

Answer:

[tex]c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7[/tex]

Step-by-step explanation:

check this pls

but im not sure;-)

pa heart and 5 star

if check po

Answer:

[tex]C= -2p+5, \text{where slope is} ~-2.[/tex]

Step by step explanation:

  I need help on 7 and 8 plssssss

Answers

I think the domain and range are infinite
[tex]\huge \cal༆ Answer ༄[/tex]

7. Find domain ~

[tex] \sf - 6 \leqslant x < 5[/tex]

or

[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~

[tex] \sf - 2 <y \leqslant 7[/tex]

or

[tex] \sf x ∈ (-2 , 7][/tex]

Can someone help me solve this question

Answers

Answer:

Step-by-step explanation:

Choosing a white pen from box a

Can someone pls help like plss

Answers

Answer:

-32r+3

Step-by-step explanation:

You have to combine -9r+2r-5r-20r, orrrr…

you can remove the variables and solve:

[tex]-9+2-5-20=\\ -32[/tex]

then add the variable back,

[tex]-32r[/tex]

since the +3 has no variable, you can’t add it to -32r

so…

you have to add it to the equation as a separate term:

[tex]-32r+3[/tex]

hope this helps!

What do I need to know?
I need help on this question please

Answers

Answer:

i cant see the Q

Step-by-step explanation:

Help plsss I REALLY need help!

Answers

Answer:

6x^2√x

Step-by-step explanation:

6 times 6 is 36

So you can take 6 out and leave x^5

However x^5 also have a power to square by:

x^4 which can turn into x^2

So we can take x^2 out

So the answer is 6x^2√x

Hope this helps!

I think its

the bottom left i might be wrong

PLEASE HELP SOMEBODY!!!!!!!!!! I uploaded a picture below.

Answers

Yes the answer above is correct 16!

divide x² +x +1 by x+ 1 by long division method​

Answers

Answer:

I hope it will help you.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

x= -3

y= 1

Step-by-step explanation:

You can graph this on Desmos Graphing Calculator and look at the vertex on the graph.

the two triangles below are similar.

Answers

Answer:

Step-by-step explanation:

yes they are just a rotated triangle

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x + 2y = -16

Answers

Answer:

y = -1/2x - 8

Step-by-step explanation:

You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.

2y = -x - 16

Now you want 1y instead of 2y. So divide everything by 2.

y = -1/2x - 8

Where r is the radius of the cone's base and h is the height of the cone. Find the approximate volume of a cone when r is 8 cm and h is 8 cm.
Volume of a Cone = pir2h/3

Answers

Step-by-step explanation:

Given,

the radius(r)of the cone's base = 8 cm

the height(h)of the cone = 8 cm

then the volume of cone

= 1/3 πr²h

= (1/3×22/7×8²×8 (substituting the value of r and h )

=(1/3×22/7×64×8)cm³

=(12544/21)cm³

=597.333cm³(ans)

If you face any doubt related to the solution please ask me

The volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.

What is the volume of a cone?

The volume of a cone is the amount of space possessed by a cone in a three-dimensional plane. A cone contains a circular base, which suggests the base is made of a radius and diameter.

The volume can be defined as a three-dimensional space enclosed by an object or thing.

The formula for the volume of the cone,

[tex]\rm V=\dfrac{1}{3} \pi r^2h[/tex]

r = radius of the circular base

h= perpendicular height of the cone

Here, r = 8 cm

h = 8 cm

So the volume of the given cone will be,

[tex]\rm V=\dfrac{1}{3} \pi r^2h\\\\\\=\dfrac{1}{3}\times\dfrac{22}{7}\times8^2\times8\\\\\\[/tex]

V  = 536.38 cubic m

Volume =536.38 cubic cm

Thus, the volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.

To know more about the cone please follow:

brainly.com/question/16394302

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WILL REWARD BRAINLIEST!!! plz :,) this is my last question:(( 50 POINTS!!!! Hellppp me with this!!!! Click to view whole pics!!! If you can view it it basically says : You are making several purchases from the B-Better Electronics store. You can buy from this store online or in a physical store. You have a coupon for 20% off that can only be used in the physical store and a $20.00 off coupon that can only be used online. The sales tax of 7.5% only applies to the physical store.
Shipping for the online store is a flat rate of $8.99 or free for purchases over $75.00. Using the information below, which way of purchasing would save you the most money?

B-better electrics store:
Headphones. 1 pair. 14.99/e
DVDs 4dvds 13.95/e
CDs. 2cds. 9.85/e
————————————————-

Online store:
Headphones 1 pair. 13.50/e
DVDs. 4dvds 14.99/e
CDs. 2cds. 10.99/e
————————————————-

Answers

Answer:

77.82 $ will be paid at physical Store

Step-by-step explanation:

Item                 Quantity          Physical Store Online Store

Headphones 1 pair                 $14.99/ea             $13.50/ea

DVDs             4 DVDs             $13.95/ea             $14.99/ea

CDs               2 CDs                $9.85/ea              $10.99/ea

Cost Price = 14.99 + 4 * 13.95  + 2 * 9.85

= 90.49 $

20% off Coupon = (20/100)90.49  = 18.1 $

Amount after Coupon = 72.39 $

7.5% sales Tax = (7.5/100)72.39 =  5.43$

Amount with Tax = 72.39 + 5.43  = 77.82 $

77.82 $ will be paid at physical Store

Answer:

Step-by-step explanation:

i want points thanks

Help me plsss pls psl​

Answers

It’s b
it’s not A because it’s not percentages it’s decimals using boxes as an example

Answer: A, B, D

it can’t be “C” because that would be equal to 40%

Help me plz I would really appreciate it!

Answers

Given,[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

The area of a triangle is 40 square inches.
The base of the triangle is x + 1,
and the height is x - 1.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh

Answers

Answer:

+9 and -9

Step-by-step explanation:

Kay's mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table at
the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50
for materials. She sells each ornament for $6.00.

If x represents the number of ornaments sold at the craft fair, which of the following expressions
would represent Kay's profit? (Circle all choices that apply.)
A. -30 + 6x - 2.50x
B. 6x - 30 -2.50x
C. 6x - 30
D. 4.50x - 30
E. 3.50x - 30

Answer without link please

Answers

Answer: B

Step-by-step explanation: 6x represents the positive because it represents the amount being made from each ornament. The -30 represents the one-time cost of the table. And the -2.50x represents the cost of each ornament.

How to graph a linear function from slope-intercept form

Answers

Answer:

Use the coefficient of x as the slope and constant as the y-intercept

Step-by-step explanation:

Start by going to your graph and plotting your y-intercept. For example, if the y- intercept is -2, plot the point (0, -2). Then from there, you need to plot the slope (let's pretend that the slope is 2/3). From the intercept, you will go up two and right one. Then starting from that point, continue using the rise over run to plot your points and then draw your line.

Find the slope-intercept form of the line that satisfies the given conditions.
Through A(−7, 5) and B(6, 11)

Answers

Answer:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

Step-by-step explanation:

(x1, y1) = (-7, 5)

(x2, y2) = (6, 11)

The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

I marked the points above as points 1 and 2, so you can plug those numbers into the formula:

[tex]m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}[/tex]

That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.

[tex]y=mx+b[/tex]

Plug the slope and any point of your choice into the equation. I'll use point b:

[tex]11=(\frac{6}{13})6+b[/tex]

Now, solve for b:

[tex]11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}[/tex]

They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:

[tex]y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5[/tex]

That works out.

What is the final amount if 700 is increased by 4% followed by a further 3% increase?

Answers

Answer:

Answer: 749.84

Step-by-step explanation:

• For 4% increment

[tex] = { \rm{ \frac{(100 + 4)}{100} \times 700 }} \\ \\ = { \rm{ \frac{104}{100} \times 700}} \\ \\ = { \rm{728}}[/tex]

• For the 3% increment

[tex] = { \rm{ \frac{(100 + 3)}{100} \times 728}} \\ \\ = { \rm{ \frac{103}{100} \times 728 }} \\ \\ = { \rm{749.84}}[/tex]

A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)

What is the area of the sector ?


Answers

Answer:

8πcm² = 8pi cm²

Step-by-step explanation

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

45/100 in its simplest form

Answers

Answer:

9/20

Step-by-step explanation:

5×9=45

5×20=100

we need to convert it in lowest term by dividing it..

Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.​

Answers

Answer:

14

Step-by-step explanation:

For every question, there should be 1 answer.

There are 4 answers for the 4 questions

4 times 4 = 16

Match the sentences below to the correct vocabulary word.
rational number
1. A decimal that ends in zero is a —
2. 0.7 is a __
terminating decimal
3. Ifx is not a rational number, it must be a(n) —
repeating decimal
irrational number
4. x is a terminating decimal, so it must also be a

Answers

Answer:

1) terminating decimal

2) 0.7 is a terminating decimal

3) a non-terminating, non-repeating decimal

4) a rational number

Step-by-step explanation:

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