The first term in an arithmetic sequence is -3. If the sequence has a common difference of 8, what is the 30th term in the sequence?

Will give brainliest to right answer :))

Answers

Answer 1

Answer:

229

Step-by-step explanation:

(my work for the problem is in the photo I attached)

(I also wrote this step-by-step in the photo because I can explain things better as I do them)

This will be a little bit confusing without me writing out the numbers, so mainly this is if you can't read my handwriting

  -3       + 8         =      5    ;  5       + 8    =     13

(1st term)                   (2nd term)            (3rd term)

Instead of adding 8 repeatedly (repeated addition), we can use multiplication.

To get the 3rd term in this sequence, we had to add 8 twice, which could also be done by multiplying 8 twice (8 x 2)

13 + 8 = 21

         (4th term)

to get the 4th term, we added 8 three times (or, 8 x 3)

So, if we are looking for the 30th term in a sequence, we will have to add 8, 29 times (8 x 29) to our original term.

8 x 29 = 232

-3 + 232 = 229

This means that the 30th term of the sequence will be 229.

The First Term In An Arithmetic Sequence Is -3. If The Sequence Has A Common Difference Of 8, What Is

Related Questions

1.)which of the following is the formula to find the volume of rectangular prism?

A. V =lwh
B. V = lw
C. 1/3(Bh)
D. 1/2(Bh)

2.)the volume of a cone is _____ the volume of a cylinder with the same base area (B) and height (h).

A. 1/2
B. 1/3
C. 1/4
D. 1/5

Answers

Answer:

First answer:

A

Second answer:

I think A

Answer:

A and B

Step-by-step explanation:

1

the volume (V) of a rectangular prism is calculated as

V = lwh ( l is length, w is width, h is the height )

  = Bh ( B is the area of the base )

2

the volume of a cone is [tex]\frac{1}{3}[/tex] the volume of a cylinder with the same base area (B) and height (h)

1. In a sample of 800 students in BNHS, 160, or
20%, are Grade 7 students Based on the above
information, the school's paper reported that "20% of
all the students at BNHS are grade 7." This report is
an example ofIn a sample of 800 students in BNHS, 160, or
20%, are Grade 7 students Based on the above
information, the school's paper reported that "20% of
all the students at BNHS are grade 7." This report is
an example of

a. a sample
b. a population
c. statistical inference
d. descriptive statistics

19.. A statistics professor asked students in a class
their ages. On the basis of this information, the
professor states that the average age of all the
students in the university is 21 years. This is an
example of
a. a census
b. descriptive statistics
c. an experiment
d. statistical inference

20. A tabular summary of a set of data showing the
fraction of the total number of items in several classes
is a
a. frequency distribution
b. relative frequency distribution
c. frequency
d. cumulative frequency distribution

Answers

Answer:

1. c. statistical inference

19. d. statistical inference

20. b. relative frequency distribution

What is the product of 3x(x²+4)?
Ox²+3x+4
O 3x³ +4
O 3x³ + 12x
O 3x² + 12x

Answers

Answer:

3x³ + 12x

Step-by-step explanation:

3x(x² + 4)

3x³ + 12x

The sum of negative eighteen and a number is eleven. What is the number?



Which equation could be used to solve the problem?

Answers

Answer:

-18 + x = 11

x = 29

Step-by-step explanation:

To solve this, you can use the formula of a + b = c

[tex]-18 + x = 11\\-18 = 18\\11 + 18 = 29\\x = 29[/tex]

Answer:

29

Step-by-step explanation:

Your equation can be -18+x=11. Since we don't know the number, we can use x. We are trying to find out a number that when it's added to -18, the answer will be 11.

Now, we solve the equation:

-18+x=11

x=11+18

x=29. Answer

To check this answer:

we can use our equation and substitute 29 for x.

-18+x=11

-18+(29)=11

11=11.

They are equal. Therfore, the answer is correct.

Find the number of terms in the sequence.

-3, -3, -9, -15, ...,-9

Answers

Answer:

6

Step-by-step explanation:

I use the information I from my Nathan teacher

The radius of a wheel on a toy truck is 4 inches. To the nearest foot, how far does the wheel
travel when it makes 7 revolutions?

Answers

2 feet I think, I could be wrong

A mother and daughter decided to add their ages together. The sum of their ages is 76. Six years ago, the mother was 3 times the age of her daughter. How old is the daughter now?​

Answers

Answer: The answer will be 19

Answer: 23 years old

Step-by-step explanation:

can you help me please?​

Answers

prolly 4.36 just use the Pythagorean theorem

Find the area of the following sector. Round your answer to the nearest tenth.

Answers

The area of the sector is 188.9 km².

What is a sector?

A sector is a plane figure enclosed by two radii and an arc between them.

To calculate the area of the sector, we use the formula below.

Formula:

A = ∅πr²/360................. Equation 1

Where:

A = Area of a sectorr = Radius of the circle∅ = The angle sustained by the sector at the center of the circle

From the diagram,

Given:

r = 19 km∅ = 60°π = 3.14

Substitute these values into equation 1

A = 60×3.14×19²/360A = 188.9 km²

Hence, the area of the sector is 188.9 km².

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What is 4:3 in the form of 1:n

Answers

Answer: 1:0.75

Step-by-step explanation:

Ratio 4 to 3 = 4:3

Simplified Ratio 4.00:3.00

Ratio in Form 1:n 1:0.75

Ratio in Form n:1 1.33:1

The function m is given in three equivalent forms.​

Answers

Answer:

  B; (-4, -8)

Step-by-step explanation:

The given forms of the equation are standard form, vertex form, and intercept form.

__

It is not surprising that the vertex form yields the vertex most quickly.

  B) m(x) = 2(x +4)² -8

Compare this to the generic vertex form ...

  f(x) = a(x -h)² +k . . . . . . . . . vertex (h, k)

We see that the vertex is (h, k) = (-4, -8).

Solve the equation. 13x-5=1+11x

Answers

Answer is C, hope this helps!!

Answer:

x=3

13x-5=1+11x

(ADD 5 TO BOTH SIDES)

13x-5+5=1+11x+5

SIMPLIFY

13x=11x+6

SUBTRACT 11x FROM BOTH SIDES

13x-11x=11x+6-11x

SIMPLIFY

2x=6

DIVIDE BOTH SIDES BY 2

2x/2 = 6/2

SIMPLIFY TO GET FINAL ANSWER

x=3

please answer quickly, (1 question, 30 pts) thanks!

Answers

Step-by-step explanation:

once the level of medicine reaches a value, where 30% are 23mL (so, whatever is lost, is immediately replaced again), that is then the long run value for the amount of the drug in the patient's body.

so,

30% = 23 mL

1% = 30%/30 = 23/30 = 0.766666666...

100% = 1%×100 = 0.766666666... × 100 = 76.666666...

so, once the level reaches 76.666666... mL in the body, it will remain constant, as the daily filtered out 30% are 23 mL, and the daily add-on is also 23 mL.

so, the answer is

76.667 mL

PLEASE HELP!!! EOC REVIEW!
From his eye, which stands 1.52 meters above the ground, Wyatt measures the angle of elevation to the top of a prominent skyscraper to be 28 degrees. If he is standing at a horizontal distance of 331 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.

Answers

The height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper.

What is Trigonometric Ratio?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Here, h₀ = 1.52 m,      angle of elevation = 28⁰

         d = 331 m

Now, tan 28⁰ = h/d

         h = d. tan 28⁰

         h = 331 X 0.5317

         h = 175.99 m

Total height = h + h₀

                    = 175.99 + 1.52

                    = 177.51 m

Thus, the height of the skyscraper is 177.51 m which is 331 m from the base of skyscraper..

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Answer:

Step-by-step explanation:

The answer is 177.5 dont add the .1

Question 1
What is the length of the diagonal from A to C of this rectangle? Round your answer to
the nearest tenth to a metre
Will mark Brainest!!

Answers

Answer: 17.2

Step-by-step explanation:

By the Pythagorean theorem,

[tex]10^{2}+14^{2}=(AC)^{2}\\\\(AC)^{2}=296\\\\AC=\sqrt{296} \approx \boxed{17.2}[/tex]


2(z + 5) + 5(z + 2) = 10 (z - 1)

Answers

Answer:

z = 10

Step-by-step explanation:

simplify to

2z + 10 + 5z + 10 = 10z-10

2+5z-10z=-10-10-10

-3z = -30

z = 10

give brainiest please!

hope this helps :)

Answer:

z = 10

Step-by-step explanation:

Distribute:

(2z + 5) + 5(z + 2) = 10(z - 1)

2z + 10 + 5(z + 2) = 10(z - 1)

and distribute again:

2z + 10 + 5(z + 2) = 10(z - 1)

2z + 10 + 5z +10 = 10(z - 1)

and add the 2 tens that are in bold.

2z + 10 + 5z +10 = 10(z - 1)

2x + 20 + 5z = 10(z-1)

Theres a lot more steps but just

comebine like terms

Distribute

Stubtract 20 from both sides

simplify

subtract 10z from both sides

simplfy

divide both sides by the same factor

and simplfy.

All the perfect squares and perfect cube numbers ranging from 1-500

Answers

that one is way to hard bru i respect u trying to get the awnser

Find the value of x - Step by step answer please

Answers

Answer:

x = -2

Step-by-step explanation:

Given :

[tex]\frac{8}{x+1} = \frac{-16}{x+4}[/tex]

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

Cross multiplying the terms :

⇒ 8 (x + 4) = -16 (x + 1)

⇒ 8x + 32 = -16x - 16

⇒ 24x = -48

x = -2

Which is the correct answer ?

Answers

Answer: D

Step-by-step explanation:

As the measure of the 75 degree angle is less than the measure of the 80 degree angle, rule out RS.

Also, the two triangles with the 80 degree angle are congruent, so PQ=QR.

This leavesc us with SP

d. If f¹(x+2) =X-1/x+1x not equal to 1 then find f(x) and f¹(4).​

Answers

I assume by f¹, you actually mean f⁻¹ as in the inverse of f. I also assume you are asked to find f(x) (as in the inverse of f⁻¹) and f⁻¹(4).

Given that

[tex]f^{-1}(x+2) = \dfrac{x-1}{x+1}[/tex]

with x ≠ 1, we can find f⁻¹(x) by replacing x + 2 with x :

[tex]f^{-1}(x + 2) = \dfrac{x-1}{x+1} = \dfrac{(x+2) - 3}{(x + 2) - 1} \implies f^{-1}(x) = \dfrac{x-3}{x-1}[/tex]

Then when x = 4, we have

[tex]f^{-1}(4) = \dfrac{4-3}{4-1} = \dfrac13[/tex]

Of course, we also could have just substituted x = 2 into the definition of f⁻¹(x + 2) :

[tex]f^{-1}(4) = f^{-1}(2+2) = \dfrac{2-1}{2+1} = \dfrac13[/tex]

To find f(x), we fall back to the definition of an inverse function:

[tex]f^{-1}\left(f(x)\right) = x[/tex]

Then by definition of f⁻¹, we have

[tex]f^{-1}\left(f(x)\right) = \dfrac{f(x)-3}{f(x)-1} = x[/tex]

Solve for f :

[tex]f(x) - 3 = x (f(x) - 1)[/tex]

[tex]f(x) - 3 = x f(x) - x[/tex]

[tex]f(x) - x f(x) = 3 - x[/tex]

[tex](1 - x) f(x) = 3-x[/tex]

[tex]f(x) = \dfrac{3-x}{1-x} = \dfrac{x-1}{x-3}[/tex]

There are 18 students on the debate club. How many ways can the club send 4 students to the next debate

Answers

There are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have the total number of students = 18

The number of ways the club send 4 students to the next debate is:

= C(18, 4)

[tex]= \rm \dfrac{18!}{4!(18-4)!}[/tex]

= 3060

Thus, there are 3060 ways the club send 4 students to the next debate if there are 18 students on the debate club.

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1712 is a odd or even number

Answers

1712 is an even number

help me pls i have 10 minutes left

Answers

Answer:

Rhombus

Step-by-step explanation:

Sides are parallel but have no right angles.

Answer:

  parallelogram

Step-by-step explanation:

Opposite sides of the figure have the same slope (0 or 5/2), so are parallel. The product of the slopes is not -1, so the angles are not right angles. Adjacent sides are different lengths, so the figure is not a rhombus.

__

The figure is a parallelogram.

_____

Additional comment

The slope is the "rise" (change in y-coordinate) of the segment divided by its "run" (change in x-coordinate). The left and right sides have a rise of 7-2 = 5, and a run of 6-4 = 2 -0 = 2. Their slope is 5/2.

The top and bottom sides have a rise of 0, so a slope of 0.

When the product of the slopes of different segments is -1, those segments are perpendicular. The perpendicular to a horizontal line has "undefined" slope, so the product of the slopes would be (0)×(undefined). This is a special case of perpendicular lines where the product of slopes is not -1.

¿Cuál es la tasa de cambio promedio para f(x) = 2(-5x + 18) me ayudan ​

Answers

Answer-10x+46

Step-by-step explanation: hope this helps

Answer: Answer-10x+46

catergorize the graph as linear decreasing, linear increasing, exponential growth or exponetnial decay

Answers

i cant help you with that bc there is no graph so...

PLEASE HELP! 50 POINTS! IF YOURE NOT GOING TO ACTUALLY ANSWER, PLEASE DON'T SAY ANYTHING.

Answers

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation:

Brett draws the shape shown below.
He says the shape can be classified as a quadrilateral, parallelogram, rhombus, and square.
Is Brett correct? Explain.

Answers

The given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

What is a square?

A square is a quadrilateral with all the sides equal and all the four sides are perpendicular to each other.

We know that it is a quadrilateral as a quadrilateral is having four sides and the sum of the angles is 180 degrees.

The given figure is a parallelogram as opposite sides of the figure are parallel and equal.

The given figure is a rhombus as all the sides are parallel and equal.

The given figure can not be a square as in the square all the four sides are perpendicular to each other.

Therefore given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

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what is the solution to this equation ?
4(4x+1) = 3x - 4(6 - x) + 8
A. x = - 12/9
B. x = - 20/23
C. x = - 20/9
D. x = - 12/23

Answers

Answer:

x = -20/9

Step-by-step explanation:

First we need to distribute this equation 4(4x+1) = 3x-4(6-x)+8. After distributing we get 16x+4 = 3x-24+4x+8. Next we add like terms to get 16x+4 = 7x-16. Now subtract 7x on both sides to get 9x+4 = -16. Now subtract -4 on both sides to get 9x = -20. Now divide by 9 on both sides to get x= -20/9.

Hope that helps! :)

Joey wants to buy a gym membership. He visits two gyms with two different fees. Gym A has a $40
sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month. How
many months will he have to belong to each before the costs are the same?

Answers

Answer:

2 months

Explanation:

50 - 40 = 10

25-20 = 5

10/5 = 2

The months for which Joey have to belong to each before the costs are the same are 2 months.

What is equation modelling?

Equation modelling is a method of writing a mathematical relation from a mathematical statement for mathematical analyses of the problem given.

Given is different fees structure of two gyms →  Gym A has a $40 sign up fee and it costs $25 per month. Gym B has a $50 sign up fee and costs $20 per month.

Assume that the months for which Joey have to belong to each before the costs are the same be x.

Then -

For Gym A -

Total cost for x months = C[A] = 25x + 40

For Gym B -

Total cost for x months = C[B] = 20x + 50

For same cost -

C[A] = C[B]

25x + 40 = 20x + 50

25x - 20x = 50 - 40

5x = 10

x = 2

Therefore, the months for which Joey have to belong to each before the costs are the same are 2 months.

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Given that 1 ton is equal to 2,000 pounds, how many pounds does 5.9 tons equal?
59,000 pounds
11,800 pounds
1,180 pounds
5,900 pounds

Answers

Answer:

11,800 lb

Step-by-step explanation:

dnt worry i got my wayz :)

Answer:

11,800 lbs

Step-by-step explanation:

5.9x2,000=11,800

Other Questions
Read the excerpt from act 3 of A Dolls House.Krogstad [with a searching look at her]. Is that what it all means?that you want to save your friend at any cost? Tell me frankly. Is that it?Mrs. Linde: Nils, a woman who has once sold herself for another's sake, doesn't do it a second time.Krogstad: I will ask for my letter back.Mrs. Linde: No, no.Krogstad: Yes, of course I will. I will wait here until Helmer comes; I will tell him he must give me my letter backthat it only concerns my dismissalthat he is not to read itMrs. Linde: No, Nils, you must not recall your letter.Krogstad: But, tell me, wasn't it for that very purpose that you asked me to meet you here?Mrs. Linde: In my first moment of fright, it was. But twenty-four hours have elapsed since then, and in that time I have witnessed incredible things in this house. Helmer must know all about it. 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