What is the 30th term of the arithmetic series 4, 7, 10, …? 88 89?

Answers

Answer 1

a1 = 4; a2 = 7; a3 = 10
d = a2 - a1 -> d = 7 - 4 = 3
an = a1 + (n-1) d -> an = 4 + (n-1) * 3 = 4 + 3n - 3n + 1
[an = 3n + 1]
a30 = 3 * 30 + 1 = 90 + 1 = 91
Answer: a30 = 91

Related Questions

I need to spend exactly £200, how?

Answers

You can just rent dancers for 4 hours 4 * 50 = 200

What are the solutions to the equation?

n^2−8n+16=25

Enter your answers in the boxes.

n1=

n2=

Answers

To factor the equation, first make sure the right hand side is equal to 0. Do this by subtracting 25 from both sides of the equation.
The equation becomes,
n^2-8n-9 = 0

Factoring the equation now gives you (n-9)(n+1) = 0.
In order to find the solutions to this equation, find values of 'n' that make the equation equal to 0.

In this case, if n is 9 or -1, we get the answer 0.

Proof: (9-9)(n+1) => (0)(n+1) = 0
or (n-9)(-1+1) => (n-9)(0) = 0.

Hope this made sense! If it didn't, please ask questions!

Answer:

help

Step-by-step explanation:

Analyze the key features of the graph of the quadratic function f(x) = -x2 + 2x + 10. A. Does the parabola open up or down?
B. Is the vertex a minimum or a maximum?
C. Identify the axis of symmetry, vertex and the y-intercept of the parabola.

Answers

see the attached graphic

the parabola open down
the vertex is a maximum
the axis of symmetry is the y axis
the y-intercept of the parabola.is the point (0,10)

SOS

Answer

A: Down

B: Max

AOS: x = 1Vertex: (1, 11)Y-Int: (0, 10)

Step-by-step explanation:

A: If the leading coefficient (a) is positive, the graph opens UP. If it is negative, the graph opens DOWN.

B: Anytime the graph goes UP, there's a minimum. Anytime the graph goes DOWN, there's a maximum

AOS: [tex]x = \frac{-b}{2a}, a=-1, b=2, c=10[/tex]

Vertex: [tex](\frac{-b}{2a}, y)[/tex]

Y-INT: let x=0 and solve for y. The coordinate of the y-intercept is (0, y).

Hope this helps!!

Suppose that an individual has a body fat percentage of 16.4% and weighs 153 pounds. how many pounds of her weight is made up of fat? round your answer to the nearest tenth.

Answers

The question is asking X lbs = 16.4% of 153 lbs.
So multiply 0.164 times 153 to get 25.1lbs of fat.

△ABC∼△LMN , AB is 8 inches, BC is 14 inches, and LM is 12 inches.

What is MN ?

Answers

Similar triangles have side lengths that are proportional.
We setup a proportion using the given information.

AB/LM = BC/MN

8/12 = 14/MN

8(MN) = 12 * 14

8(MN) = 168

MN = 168/8

MN = 21

16 might be your answer if not I am truly dearly sorry

a cylinder has a circumgerence of 12pi cm and a height that is half the radius. what is the total surface

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\quad \begin{cases} r=radius\\ -----\\ C=12\pi \end{cases}\implies 12\pi =2\pi r\implies \cfrac{12\pi }{2\pi }=r\implies 6=r\\\\ -------------------------------\\\\ \textit{total surface of a cylinder}\\\\ S=2\pi r(h+r)\quad \begin{cases} r=6\\ h=\stackrel{half~of~r}{3} \end{cases}\implies S= 2\pi (6)(3+6)[/tex]

and surely you know how much that is.

The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. What describes the domain of (gºf)(x)?

Answers

The function g°f(x) can be written as g(f(x)), which means that you take a random x, put it into f(x) which gives you a value (let's call it y). You then put y into g(y) and you find the result.

Therefore the Domain you are looking for in words is every x that can be put into f(x) and that gives you a value y that can be put in g(y).

Mathematically:
Dom (g°f) = {x ∈ Dom(f) | f(x) ∈ Dom(g)}

In your case:
Dom (g°f) = { x ∈ R - {7} | f(x) ∈ R - {-3} }

algebra 2 unit 2 question. connexus.

Answers

From the graph we can infer that our function crosses the x-axis at -2.5, 0.5, and 1.5, so those are the zeroes of the function.
Next, lets convert those decimals into fractions by adding a denominator 1 to each decimal and multiply both its numerator and denominator by a power 10 that lets us get rid of the decimal point:
[tex]( \frac{-2.5}{1} )( \frac{10}{10} )= \frac{-25}{10} =- \frac{5}{2} [/tex]
[tex]( \frac{0.5}{1} )( \frac{10}{10} )= \frac{5}{10} = \frac{1}{2} [/tex]
[tex]( \frac{1.5}{1} )( \frac{10}{10} )= \frac{15}{10} = \frac{3}{2} [/tex]

Since we know that each one of those points is a zero of the function ([tex]x=0[/tex]), we can replace each value into our [tex]x=0[/tex], and work backwards to get our binomials:
[tex]x=- \frac{5}{2} [/tex]
[tex]2x=-5[/tex]
[tex]2x+5=0[/tex]
So, our first binomial is [tex](2x+5)[/tex]

[tex]x= \frac{1}{2} [/tex]
[tex]2x=1[/tex]
[tex]2x-1=0[/tex]
So, our second binomial is [tex](2x-1)[/tex]

[tex]x= \frac{3}{2} [/tex]
[tex]2x=3[/tex]
[tex]2x-3=0[/tex]
So, our next binomial is [tex](2x-3)[/tex]

Now lets put all together to find the equation of our function:
[tex]y=(2x+5)(2x-1)(2x-3)[/tex]
And of course, we can rewrite it in a different order:
[tex]y=(2x-1)(2x-3)(2x+5)[/tex]

We can conclude that the equation that most likely represents the graph of the function is [tex]y=(2x-1)(2x-3)(2x+5)[/tex]

Final answer:

The subject of this question is Mathematics, specifically Algebra 2.

Explanation:

The subject of this question is Mathematics, specifically Algebra 2.

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Reggie currently has a square rug in his living room. He is moving soon and has determined that for his new living room, he will need a rug that has a width that is two feet shorter than his current rug and a length that is five feet longer than his current rug. Let x represents the side measure of Reggie's current rug, in feet. Determine the equation that represents the area, y, in square feet, of the rug needed for his new living room.

y = x2 + 3x - 10

y = x2 - 7x + 10

y = x2 - 3x - 10

y = x2 + 7x + 10

Answers

Answer:
y = x² + 3x - 10

Explanation:
Reggie's current rug has a square shape.
This means that:
length of rug = x ft
width of rug = x ft

For the new rug:
1- the length is 5 ft longer than the current rug. This means that:
new length = x + 5 ft
2- the width is 2 ft shorter than the current rug. This means that:
new width = x - 2 ft

The area of the new rug can be calculated as follows:
area of new rug = new length * new width
area of new rug = (x + 5)(x - 2)
area of new rug = x(x) - 2(x) + 5(x) - 5(2)
area of new rug = x² - 2x + 5x - 10
area of new rug = x² + 3x - 10 ft²

Hope this helps :)

Answer:

C. y = x² + 3x - 10

Step-by-step explanation:

Reggie's current rug has a square shape.

This means that:

length of rug = x ft

width of rug = x ft

For the new rug:

1- the length is 5 ft longer than the current rug. This means that:

new length = x + 5 ft

2- the width is 2 ft shorter than the current rug. This means that:

new width = x - 2 ft

The area of the new rug can be calculated as follows:

area of new rug = new length * new width

area of new rug = (x + 5)(x - 2)

area of new rug = x(x) - 2(x) + 5(x) - 5(2)

area of new rug = x² - 2x + 5x - 10

area of new rug = x² + 3x - 10 ft²

Just took the test <3.

PLEASE HELP ME QUICKLY!!!

BRAINLIEST AVAILABLE TO CORRECT ANSWER

Answers

I would like to know the possible answers since I can’t infer whether the total price is changed, but i would assume that m would need to increase if that’s the case when b is halved, and that when m is tripled b and mx would increase since prices would be going up

helppppppppppppppppppppppp

Answers

Answer:
log base 2 of 100 is about 1/4 the value of log base 6 of 20

Explanation:
We will get the value of each of them separately and then compare these values.
log base 2 of 100 = 6.6438
log base 6 of 20 = 1.6719

Comparing these values, we will find that:
log base 2 of 100 is about 1/4 the value of log base 6 of 20

Hope this helps :)

Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year. Choose the equation that can be used to solve the problem.
A.) y=42000(1+.08)^6
B.) y=42000(1+6)^8
C.) y=42000(1−.08)^6
D.) y=42000(1−.8)^6
And then: What is the value of the car expected to be 6 years from now?
This is the only question I don't understand, someone help please!

Answers

i think the correct answer is

C.) y=42000(1−.08)^6

as for what it will cost in six years:

25466.91

not sure if you have to include the decimal or round it.

Answer:

Option (c) is correct.

[tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

Step-by-step explanation:

Given : Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year.

We have to choose the equation that can be used to solve the given problem.

We know

Depreciation formula given as,

[tex]A=P(1-\frac{r}{100} )^n[/tex]

Where A is the amount value after depreciation.

P is present value

r is depreciate rate.

n is time period.

Given : P = 42000 and r= 8% also given time period is 6.

Substitute , we have,

[tex]y=42000(1-\frac{8}{100} )^6[/tex]

Simplify , we have,

[tex]y=42000(1-0.08)^6[/tex]

Simplify we get,

[tex]y=25466.91[/tex]

Thus, [tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91

Jenna throws a stone off a pier and into the ocean. The graph models how the height of the stone, above sea level, changes over time.

Select from the drop-down menu to interpret the decreasing interval of the graph.

The stone was falling toward the water from

https://static.k12.com/nextgen_media/assets/8090396-NG_AL1_O_07_012_Quiz_05.png

Answers

0.5 after it was thrown until 1.5 after it was thrown

This should get you a hundred on the 4.11 quiz. :)

Suppose that F(x) = x^3 and G(x) = (4x)^3 − 5. Which statement best compares the graphs of F(x) and G(x)?

A.The graph of G(x) is the graph of F(x) stretched vertically and shifted 5 units down.
B.The graph of G(x) is the graph of F(x) stretched horizontally and shifted 5 units down.
C.The graph of G(x) is the graph of F(x) compressed vertically and shifted 5 units down.
D.The graph of G(x) is the graph of F(x) compressed horizontally and shifted 5 units down.

Answers

Final answer:

The graph of G(x) is the graph of F(x) stretched horizontally by a factor of 4 and shifted 5 units down.

Explanation:

Comparing the functions [tex]F(x) = x^3[/tex] and [tex]G(x) = (4x)^3 - 5[/tex]reveals the relationship between their graphs. G(x) is a horizontal stretch of F(x) by a factor of 4 due to the presence of "4x." Additionally, the constant term "-5" shifts the graph downward by 5 units. Consequently, G(x) can be accurately characterized as a horizontal stretching of F(x) and a vertical shift downward by 5 units, altering the shape and position of the original cubic function F(x).

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A rectangle is 1/2 feet long and 3/4 feet wide. What is the area of the rectangle?

Answers

3/8 because to find the area you multiply both numbers so 1*3 is 3 and 2*4 is 8 so your answer should be 3/8

The area of the rectangle having a length of 1.2 feet and a width of 3/4 feet is 3/8 sq feet.

What are the area and perimeter of a rectangle?

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know the area of a rectangle is (length×width).

Given, A rectangle is 1/2 feet long and 3/4 feet wide.

Therefore, The area of this rectangle is,

= (1/2×3/4) sq feet.

= 3/8 sq feet.

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Math question help :)

Answers

You have two similar triangles.
Use corresponding parts of the two triangles.
If two triangles are similar, then the lengths of corresponding parts are proportional.
The small triangle has a vertical side that measures 6 ft. That side corresponds to the height of the tree, h, in the large triangle.
The small triangle has a horizontal side that measures 10 ft. That side corresponds to the side of the large triangle that measures 40 ft.

6 ft corresponds to h
10 ft corresponds to 40 ft

[tex] \dfrac{6}{h} = \dfrac{10}{40} [/tex]

Answer:

Step-by-step explanation:

I think its D.

Which pair of measurements is equivalent?
8,600 mg, 86 g
2,500 g, 250 kg
3.4 kg, 3,400 g
480 g, 4.8 mg

Answers

Let's look at each pair and change it so the first one in the pair will be what the second one will be converted to.
8,600 mg = 86,000 mg; So now, the first one is not equivalent.
2,500 g = 250,000 g; Not that one either.
3.4 kg = 3.4 kg; This one is correct. We can check by checking the last pair.
480 g = .0048 g; Nope.
So 3.4 kg, 3400 g would be the correct answer.

Answer:

3.4 kg, 3,400 g

Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos. Based on this data, what is a reasonable estimate of the probability that the next customer does not get an arm tattoo?

Answers

Answer:

346/389

Step-by-step explanation:

correct on khan academy!

The reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.

Here, Based on the given conditions, formulate

Probability = Favorable outcome / Total outcome

Calculate the sum or difference: (389-43)/389

get the result: 346/389

Thus.the reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.

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Write an expression for the following situation and solve. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave 4 to his students. How many total pencils does Mr.Simms use and give away? Show your work.

Answers

Hi!
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.

Mr. Simms used 1/4 of the 20 pencils he bought, which equals 5 pencils, and gave away an additional 4 pencils, totaling to 9 pencils used and given away.

To solve how many total pencils Mr. Simms uses and gives away, we first find out how many pencils he used by taking 1/4 of the 20 pencils he bought. To do this, we multiply 20 by 1/4:

20 times 1/4 = 5

Mr. Simms used 5 pencils. He also gave away 4 pencils to his students. To find the total number of pencils used and given away, we add the pencils used to the pencils given away:

5 (used) + 4 (given away) = 9

Therefore, Mr. Simms used and gave away a total of 9 pencils.

How could you find an equation of a quadratic function with the zeroes of -3 and 1?

Answers

Hello,

The simpliest quadratic function is y=(x+3)(x-1)
or y=x²+2x-3

What is the interior angle if the outside equals 110?

Answers

Interior and exterior angles are supplementary. The corresponding interior angle is 180° -110° = 70°.

a basketball player made 27 free throws in her last 45 tries. what is the experimental probability that she will make her next free throw?

Answers

Hey mark me brainlest but ur answer is 27/45

Bess ur day.

You have a cd-rw drive that advertises speeds of 32x/12x/48x. what is the read speed of the drive?

Answers

When you have CD-RW drive that advertises speeds of 32x/12x/48x, the first speed that you encounter from left to right is the writing speed, the next one is the rewrite speed, and the last one is the reading speed.
Knowing this we can tell that our CD-RW drive has:
32x of writing speed
12x of rewriting speed
48x of reading speed

We can conclude that the reading speed of our CD-RW drive is 48x

help me please asap and plz be correct :)

Answers

The radii are all equal, so
.. AI = BI
.. 3x +7 = 5x -11
.. 18 = 2x
.. 9 = x

Then
.. AI = 3x +7
.. = 3*9 +7
.. = 34

AI = 34

△JKL∼△QRS , JK is 8 centimeters, QR is 12 centimeters, and RS is 9 centimeters.

What is KL ?

Enter your answer in the box.

Answers

Answer:

The measure of KL is 6 centimeters.

Step-by-step explanation:

It is given that △JKL∼△QRS.

The corresponding sides of two similar triangles are proportional.

[tex]\frac{JK}{QR}=\frac{KL}{RS}[/tex]

[tex]\frac{8}{12}=\frac{KL}{9}[/tex]

[tex]8\times 9=KL\times 12[/tex]

Divide both sides by 12.

[tex]KL=\frac{72}{12}[/tex]

[tex]KL=6[/tex]

Therefore we can say that if △JKL∼△QRS, then the measure of KL is 6 centimeters.

Answer:

Step-by-step explanation:

He did too much math lol, a simple way of this is by dividing both sides initially.

12/9 = 1.5
9/1.5 = 6

how many fluorine atoms are found in 1.92 grams of AsF3?

Answers

First you need to find out how many moles of AsF3 are in 1.92 grams.
The molar mass of AsF3 is 131.918 g/mole so
1.92 g * (1 mole)/(131.918g) = .0146 moles AsF3

Each mole of AsF3 has 6.02 x10^23 molecules of AsF3 and each molecule of AsF3 has 3 flourines, so you need to convert from moles to molecules AsF3 to atoms of F
0.146 moles AsF3 * (6.02 x 10^23 molecules AsF3)/(1 mole AsF3) * (3 atoms F)/(1 molecule AsF3) = 2.64 x 10^22 atoms F

A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
$500,000.00
$4,862.03
$4,600.00
$20,250.00
24.
A $6,000.00 principal earns 8% interest, compounded semiannually. After 35 years, what is the balance in the account?
$22,800.00
$39,600.00
$88,712.07
$93,429.71
25.
A tractor costs $15,450.00 and depreciates in value by 14% per year. How much will the tractor be worth after 3 years? $22,889.85
$15,408.00
$8,451.28
$9,827.07

Answers

4000(1.05)⁴=$4862.03

6000(1+ .08/2)^35(2)=$93429.71

15450(.86)³=$9827.07

the first one is a
the second one is b
the third is a

Answers from anybody please??

Answers

The ratio of areas is the square of the ratio of linear dimensions. The smaller area is
.. (27 in^2)*(8/12)^2 = 27*(4/9) in^2 = 12 in^2

Choose the correct box of the best buy available.
a .a box of cookies for $1.89
b. two boxes of cookies for $3.69

Answers

1.89 times 2 is $3.78 which is more than 3.69, so the answer is b.

The correct answer is B because if you do the multiplication between 1.89 times 2 and it will give you $3.78 which is more than 3.69

BRAINLIESTTT ASAP!!!!!!!!!

Answers

find where the blue and red lines touch
the answer would be -3.5 and -0.5

the first choice is the correct one

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