Find the 87th term of the arithmetic sequence-19,-13,-7

Answers

Answer 1

Answer:

a₈₇ = 497

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 19 and d = a₂ - a₁ = - 13 - (- 19) = - 13 + 19 = 6 , then

a₈₇ = - 19 + (86 × 6) = - 19 + 516 = 497


Related Questions

Naglakad si Ruben ng 900 sentimetro samantalang si Jaime ay naglakad ng
10 na metro. Gaano kalayo ang pagitan ng nalakad ni Jaime kay Ruben sa
sentimetro?
a. 200 cm c. 300 cm
b. 100 cm d. 250 cm

Answers

Sagot:

100 cm

Hakbang-hakbang na paliwanag:

Kung ganoon :

Distansya na sakop ng Ruben = 900 centimetri

Distansya na sakop ng Jamie = 10 metro

Pagko-convert sa centimeter:

100 cm = 1 m

x cm = 10 m

Paggamit ng multiplikasyon ng krus:

x = 100 * 10

x = 1000 cm.

Dahil dito Distansya ni Jamie = 1000 cm

Distansya sa pagitan ng Jamie at Ruben;

1000 cm - 900 cm = 100 cm

A retailer sold an electric item to a customer at a loss of 10 percent the customer purchase it for rs 25425 including 13, percent VAT calculate the cost price of the electric item to the retailer

Answers

Answer: Rs 25,000

Step-by-step explanation:

Given

Retailer sold an electric iron to a customer at a loss of 10%

Suppose the Cost price of iron is [tex]x[/tex]

So, selling price is [tex]0.9x[/tex]

This price must be equal to [tex]25425[/tex]+ VAT

[tex]\Rightarrow 0.9x=25425-0.13(0.9x)\\\Rightarrow 0.9x+0.117x=25425\\\Rightarrow 1.017x=25425\\\Rightarrow x=\text{Rs }25,000[/tex]

Thus, the cost price is [tex]Rs.25,000[/tex]

A dealer spent a total amount of $5250 for importing some cosmetics. If the total cost of the cosmetics was $5000 without tax, what was the percentage of import tax?

Answers

Answer:

5%

Step-by-step explanation:

First, find the amount of tax:

5250 - 5000

= 250

Divide this by the original price of $5000 to find the percent of import tax:

250/5000

= 0.05

So, the percent of import tax is 5%

Equivalent expression -2/3a+5/6a-1/6

Answers

Answer:

324

Step-by-step explanation:

ASAPppppppppppppppppp

Answers

Answer:

9/16

Step-by-step explanation:

3/8 ÷ 2/3

Copy dot flip

3/8 * 3/2

Multiply the numerators

3*3=9

Multiply the denominators

8*2 = 16

Numerator over denominator

9/16

Can someone help me please ?

Answers

Answer:

I would say D is your answer

Step-by-step explanation:

Answer:

the fourth one

use mathaway its like my best friend for math!!!

Step-by-step explanation:

Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cupsss

Answers

Answer:

158.33 minutes = 2.63 hours

Step-by-step explanation:

Raju took some marble from his box. He put them in equal groups of 4. Then he put them in the groups of 5 , and then in the groups of 10. Each time no marble was leftover. Find the Minimum number of marbles he took from his box.

Answers

Answer:

ans is 20. just find the lcm between the three and it is 20

What do I need to do to be able to solve this problem?

Answers

9514 1404 393

Answer:

  (x, y, z) = (5, 11, 6)

Step-by-step explanation:

To solve this problem, you need to understand "row operations". The ones we're concerned with are multiplying a row by a scalar, and adding rows together.

You also need to understand what the solution looks like, and the usual way that is achieved. The solution will have the 3×3 matrix left of the vertical line be a diagonal of 1s (the identity matrix). Then the numbers to the right of the vertical line represent the solution.

__

In the following, we will use the notation [a]+b[c]⇒[d] to mean that row 'a' is added to the product of row 'c' and the scalar 'b' and that sum replaces row [d]. Multiplying a row by a scalar multiplies each element in the row by that scalar.

The first several operations look like this. Notice we have made the upper left 2×2 matrix an identity matrix. Steps will continue to take care of the 3rd column.

  [tex]\left[\begin{array}{ccc|c}1&1&1&22\\6&1&8&89\\-6&4&4&38\end{array}\right] \qquad\text{given}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&-5&2&-43\\0&5&12&127\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ 6[1]+[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&1&1&22\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[2]+[3]$\rightarrow$[3];\ $-\frac{1}{5}$[2]$\rightarrow$[2]}\\\\\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&14&84\end{array}\right]\qquad\text{[1]-[2]$\rightarrow$[1]}[/tex]

Now, we normalize the third column.

  [tex]\left[\begin{array}{ccc|c}1&0&1.4&13.4\\0&1&-0.4&8.6\\0&0&1&6\end{array}\right] \qquad\text{$\frac{1}{14}$[3]$\rightarrow$[3]}\\\\\left[\begin{array}{ccc|c}1&0&0&5\\0&1&0&11\\0&0&1&6\end{array}\right] \qquad\text{$-\frac{7}{5}$[3]+1$\rightarrow$[1];\ $\frac{2}{5}$[3]+[2]$\rightarrow$[2]}[/tex]

This is the target of our row operations. It tells us the solution to the system of equations is ...

  (x, y, z) = (5, 11, 6)

_____

A number of online calculators and phone or tablet apps are available for putting a coefficient matrix into this "reduced row-echelon form." Many graphing calculators will do this, too.

In the end, this is not terribly different from ad hoc solution using "elimination" methods. That is precisely what we did when we created the zeros in the first two columns of row 3.

The rectangular top of a small box has dimensions of 140 mm by 230 mm.

How long (in centimeters) would a ribbon need to be to go all the way around the edge of the top of the box?

A.) 740 cm
B.) 74 cm
c.) 37 cm
D.) 7,400 cm

Answers

Answer: B. 74 cm

Step-by-step explanation:

Concept:

Here, we need to know the idea of unit conversion and perimeter.

When there are multiple units in a question, then we should convert all units into one through converting factors.

Perimeter is the distance around a two-dimensional figure.

P = 2 (w + l)

1 cm = 10 mm

Solve:

140 mm = 14 cm

230 mm = 23 cm

P = 2 (w + l) ⇒ Given

P = 2 (14 + 23) ⇒ Substitute

P = 2 (37) ⇒ Addition

P = 74 cm ⇒ Simplify through muliplication

Hope this helps!! :)

Please let me know if you have any questions

The value of cube root of x^10, when x = -2, can be written in simplest form as a^3 times the square root of b, where a = _____ and b = ______.

Answers

Answer:

[tex]a = 2[/tex]

[tex]b = 2^{1/6}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]

[tex]x = -2[/tex]

Required

Find a and b

We have:

[tex]\sqrt[3]{x^{10}} = a^3 * \sqrt b[/tex]

Substitute -2 for x

[tex]\sqrt[3]{(-2)^{10}} = a^3 * \sqrt b[/tex]

[tex]\sqrt[3]{1024} = a^3 * \sqrt b[/tex]

Expand

[tex]\sqrt[3]{2^9 * 2} = a^3 * \sqrt b[/tex]

Split the exponents

[tex]2^{(9/3)} * 2^{(1/3)} = a^3 * \sqrt b[/tex]

[tex]2^{3} * 2^{1/3} = a^3 * \sqrt b[/tex]

By comparison:

[tex]a^3 = 2^3[/tex]

So;

[tex]a = 2[/tex]

and

[tex]\sqrt b = 2^{1/3}[/tex]

Take square roots of both sides

[tex]b = 2^{1/6}[/tex]

Answer: -8, -2

Step-by-step explanation: (the previous answers are ) 1. D 2. C 3. -8,-2 (for reference of order :))

pals fast what are amplitude, period, phase shift and midline for f(x)=-4 cos (3x-pi)+2

Answers

Answer:

amplitude = |-4| =4

period = 2 pi/3

phase shift = pi / 3

midline = 2

Step-by-step explanation:

f(x)=-4 cos (3x-pi)+2

The equation is in the form

f(x) = a cos (bx -c) +d  where |a| is the amplitude

period  is 2 pi /b

phase shift:  c/b

midline = d

amplitude = |-4| =4

period = 2 pi/3

phase shift = pi / 3

midline = 2

Helppppp pleaseeee anyoneeeeeee!!!!!!!!!!!!!

Answers

Answer: 314.5

Explanation

Divide the areas into conventional shapes with determined formulas, rectangles, triangles and add them together

(17x5)+(18x4)+(21x15/2)

= 314.5

Hope this helps :)

Hi!! Please help me with this question. I got an answer of 63.25 but it was incorrect and need to redo it. Please also explain how you got the answer and why mine was wrong.

Use ΔDEF, shown below, to answer the question that follows:

Triangle DEF where angle E is a right angle. DE measures 55. EF measures x. Angle D measures 49 degrees.

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

Answers

Answer:

x ≈ 63.27

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan49° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{EF}{DE}[/tex] = [tex]\frac{x}{55}[/tex] ( multiply both sides by 55 )

55 × tan49° = x , then

x ≈ 63.27 ( to the nearest hundredth )

Find the marked angles in each of the following. (where a point O is given it is the centre of the circle.)​

Answers

Answer:

answer is in the attachment.

What is the following sum?
4(^5sqrtx^2y) + 3(^5sqrtx^2y)

Answers

Answer:

option 3

Step-by-step explanation:

[tex](4 + 3) \sqrt[5]{x {}^{2}y } = 7 \sqrt[5]{ {x}^{2}y } [/tex]

Answer:

[tex]7( \sqrt[5]{ {x}^{2}y } )[/tex]

Step-by-step explanation:

[tex]4( \sqrt[5]{ {x}^{2}y } ) + 3( \sqrt[5]{ {x}^{2} y} )[/tex]

[tex](taking \: \sqrt[5]{ {x}^{2}y } \: as \: common \: then)[/tex]

[tex] = \sqrt[5]{ {x}^{2} y} (4 + 3)[/tex]

[tex] = \sqrt[5]{ {x}^{2} y} \times 7[/tex]

[tex] = 7 (\sqrt[5]{ {x}^{2}y } )(ans)[/tex]

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70, find its length and width.

Answers

Answer:

[tex]l = 6w - - - - 1 \\ \\ 2l + 2w = 70 - - - - - 2 \\ \\ solving \: simultaneously \\ put \: l = 6w \: into \: 2 \\ 2(6w) + 2w = 70 \\ 12w + 2w = 70 \\ 14w = 70 \\ w = 5 \\ \\ l = 6w \\ l = 6(5) \\ l = 30[/tex]

HELPPPP MEEEE OUTTTTT ASAPPPPP PLEASEEEEE!!!!!

Answers

Answer:

cos A = 7/25

Step-by-step explanation:

Since we are given a right triangle, we can use trig functions

cos A = adj side/ hypotenuse

cos A = 7/25

Answer:

[tex]\boxed{\sf cos\ A =\frac{7}{25}}[/tex]

Step-by-step explanation:

We need to find out the value of cos A using the given triangle . Here we can see that the sides of the triangle are 7 , 25 and 24 .

We know that the ratio of sine is base to hypontenuse .

[tex]\sf\longrightarrow cos\theta =\dfrac{ base}{hypontenuse}[/tex]

Here we can see that the side along the angle A is 7 , therefore the base of the triangle is 7. And the side opposite to 90° angle is 25 . So it's the hypontenuse . On using the ratio of sine ,

[tex]\sf\longrightarrow cos \ A =\dfrac{ b}{h}=\dfrac{AB}{AC}[/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow \boxed{\blue{\sf cos \ A =\dfrac{7}{25}}}[/tex]

Hence the required answer is 7/25.

Need help on this asap!! Also Thank you in advance!!

Answers

Answer:

50/sin90=x/sin45

x=35.36cm

please help, it is associated with angles. thank u ;)

Answers

Answer:

angle c is 63

Step-by-step explanation:

Angles in a triangle add up to 180 therefore

70+47+x=180

x=180-117

=63°

I hope this helps

Angel c is 63, hope this helps

Please help ASAP!!!! What is the length of BC?

Answers

Answer:

x=24

Step-by-step explanation:

Answer:

BC = 24

Step-by-step explanation:

Since ∠ B and ∠ C are congruent the the triangle is isosceles with

AC = AB , that is

3x - 15 = x + 33 ( subtract x from both sides )

2x - 15 = 33 ( add 15 to both sides )

2x = 48 ( divide both sides by 2 )

x = 24

Then

BC = x = 24

what is the value of k if the function f(x)=(2-k)/(5x+k) if the graph of the function passes through the point (-1,1/2)

Answers

Answer:

k = 3.

Step-by-step explanation:

At the given point x = -1 an f(x) = 1/2, so we have the equation:

1/2 = (2 - k)/(5(-1) + k)

(2 - k)/(k - 5) = 1/2

Cross multiplying:

2(2 - k) = k - 5

4 - 2k = k - 5

-2k - k = -5 -4

-3k = -9

k = 3.

1/100,000 as a power of ten. What Is it?

Answers

Answer:

10^-5

10^-5 = 1/100,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{1}{100000}=\frac{1}{10^{5}}=10^{-5}\\\\\\\frac{1}{a^{m}}=a^{-m}[/tex]

How do I find the low value of a box plot

Answers

The far left of the chart is the minimum(low) value of the box plot.

Answered by Gauthmath must click thanks and mark brainliest

What is the quotient in simplest form? 12/7 ÷ 3​

Answers

The answer is 0.5714285714

1. Suppose Alexis gets a job at a construction firm. Her salary begins at
$15,000 a year. I very year she works for the construction firm from now
on will increase her salary by $2,000 per year
Let , the input be the number of years Alexis has worked at the
construction firm, and let the output, be her salary.
a. Ir the function is linear, write a function rule for this function. If it
is not linear, explain why in one sentence.
b. Create a table involving at least four ordered pairs which represents
this function

Answers

Answer:

Annswea is 7 so if add ur it is the correct answer

Step-by-step explanation:

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic

Answers

Answer:

Independent means that one has no effect on the other. Exclusive means one cannot happen alongside the other. In simpler terms, independent events can be thought of as the chance it'll rain and how many people are flossing their teeth in the morning. Both happen, but neither one impacts the other.

Exclusive, on the other hand, means only one can happen. Lets say at nine in the evening your favorite show is on. However, you have an early morning and should be asleep by nine. You cannot both be asleep and watching your favorite show, and so these events are exclusive.

Mr. Matthew was testing the only popularity of us custom-made belts and wallets that are marked differently some items were sold prior to the online launch date

Answers

Complete question is;

Mr. Matthew is testing the online popularity of his custom made belts and wallets that were marketed differently. Some items were sold prior to the online launch date.

The equation below represents the number of belts sold, s, x days after its online launch. S = 3^(x)

The equation below represents the number of wallets sold, s, x days after its online launch. S = 4x + 15

Using graphing technology, complete the statements. After ___ days, the total number of belts sold will be the same as the total number of wallets sold. The number of belts and the number of wallets Mr. Matthew sold after this many days is ___

Answer:

Number of days = 3 days

Total belts and wallets after 3 days = 54

Step-by-step explanation:

We are told that the number of belts sold, s, x days after its online launch. S = 3^(x)

Also, we are told that the number of wallets sold, s, x days after its online launch. S = 4x + 15

Now, we want to find the Number of days that total number of belts sold will be the same as the total number of wallets sold using graphing technology.

The number of days will simply be the value of x where the two graphs meet.

I have drawn the graph of both equations.

From the attached graph, we can see that the x-value at where the both graph lines meet is approximately 3. I didn't take the negative solution because number of days cannot be negative.

Thus, x = 3

Putting x = 3 in;

S = 3^(x)

S = 3^(3)

S = 27

Similarly, Putting x = 3 in;

S = 4x + 15

We have;

S = 4(3) + 15

S = 12 + 15

S = 27

Thus,total number of belts and wallets sold after 3 days = 27 + 27 = 54

How would I solve this half life problem?

Answers

Bye using the half life formula

For each graph below, state whether it represents a function.

Answers

Graph1-Yes
Graph2-yes
Graph 3- NO
Graph4-yes
Graph5-No
Graph6/No

Graph exists as an illustration of any object or a physical format by dots, lines, etc.

What is graph function?

The graph of a function f exists the set of all points in the plane of the form (x, f(x)). We could also describe the graph of f to be the graph of the equation y = f(x). So, the graph of a function exists in a particular case of the graph of an equation.

A function is defined as a connection between a set of inputs containing one output each. In simple words, a function exists as an association between inputs where each input is connected to exactly one output. Every function includes a domain and codomain or range. A function exists generally represented by f(x) where x is the input.

From the given figure,

Graph 1 exists a function.

Graph 2 exists a function.

Graph 3 doesn't exist as a function.

Graph 4 exists a function.

Graph 5 doesn't exist as a function.

Graph 6 doesn't exist as a function.

Hence, Graph exists as a representative of any object or a physical design by dots, lines, etc.

To learn more about graph refer to:

https://brainly.com/question/11803331

#SPJ2

Other Questions
what is the meaning of Neccesity A worker with a wheelbarrow filled with bricks starts at a point 50 m from theentrance to a construction site. The worker pushes the wheelbarrow away from theentrance at a speed of 1 m/s for 10 s, stops for 5 s to unload, and then moves backtoward the entrance at a speed of 2 m/s for 20 s. Draw a distance-time graph. A solid oblique pyramid has a square base with edges measuring x cm. The height of the pyramid is (x + 2) cm.A solid oblique pyramid has a square base with edges measuring x centimeters. The height is (x + 2) centimeters.Which expression represents the volume of the pyramid?StartFraction x cubed + 2 x squared Over 3 EndFraction cm3StartFraction x squared + 2 x squared Over 2 EndFraction cm3StartFraction x cubed Over 3 EndFraction cm3StartFraction x cubed + 2 x squared Over 2 EndFraction cm3 Answer this please~!!!! General Snacks is a typical firm in a market characterized by the model of monopolistic competition. Initially, the market is initially in long-run equilibrium, and then there is an increase in demand for snacks. We expect that: Group of answer choices in the long run, new firms will enter the market. there will be a short-run increase in the number of firms, but in the long run the number of firms will return to the original level. firms will leave the market in the long run. firms will shut down, but they will not leave the industry in the long run. Please help me! I will give brainly!!! Question,Your friend says that because ofthe order of operations, theexpressions are equivalent. Is yourfriend correct?16 (20 4) + 3 or 16 20 4 + 3 Yes or No Question,Which expressions have a valueof 8?A) 6 3 8B) 24 4 + 2C) 18 50 10 5D) 24 8 2 + 4E) (14 8 5) 8F) 4 4 18 2Check a letter Question,Three pumpkins are catapulted at acontest. * Pumpkin A travels 0.98 kilometer.* Pumpkin B travels 0.45 kilometer farther than Pumpkin A.* Pumpkin B travels 0.09 kilometerfarther than Pumpkin C. How much farther doesPumpkin C travel than Pumpkin A? A company is reviewing tornado damage claims under a farm insurance policy. Let X be the portion of a claim representing damage to the house and let Y be the portion of the same claim representing damage to the rest of the property. The joint density function of X and Y is Determine the probability that the portion of a claim representing damage to the house is less than 0.2. The table shows values for functions f(x) and g(x)Xf(a) = 2-2g(x) = -22-3186-24.4-12200122.443618What is the solution to f(x) = g(x) ?Select each correct answer. In a city baseball league, the Tigers are 1 1/2 games behind the Pirates, and the Pirates are 4 games ahead of the Cubs. How many games separate the Tigers and the Cubs?A: 2 1/2B: 3C:3 1/2D: 5 1/2 The stock in Rhea Corporation is owned by Jennifer (80%) and Lucy (20%), mother and daughter. In a liquidation of the corporation in the current year, Rhea distributes land that it purchased two years ago for $675,000 to Lucy. The property has a fair market value of $450,000 on the date of distribution. One year later, Lucy sells the land for $400,000. What loss, if any, will Rhea Corporation recognize with respect to the distribution of land?A. $0B. $45,000C. $225,000D. $275,000 a square has a length of 6 ft use an exponent to express its area and evaluate Davidson Company has 10,000,000 common shares issued and 400,000 shares of treasury stock. The stock's par value is $2 per share and its current market price is $15 per share. Which of the following is correct when a 15% stock dividend is declared and distributed??a. Retained earnings will decrease by $4.000 million b. Retained earnings will decrease only by $3.796 million c. Retained earnings will decrease by $49.348 million. d. Retained earnings will decrease by $52.000 million. How to save a file for the first time? Use the Ka values for weak acids to identify the best components for preparing buffer solutions with the given pH values. Name Formula Ka Phosphoric acid H3PO4 7.5 x 10^-3 Acetic acid CH3COOH 1.8 x 10^-5 Formic acid HCOOH 1.8 x 10^-4pH 1.9 =_________pH 5.0 = ________pH 3.9= ________ Find the sum of first five multiple of 5 College is not for everyone? Find the missing length indicated miss / will miss will have / am having is going to melt / is melting persuades / will persuade will be enjoying / enjoys am starting out / will start out will be believed / is to be believed is going to depart / departs will agree / agrees will rise / are to rise see / are going to see ~ A: Do you want to come out for a meal tonight? B: I ...m starting out... early tomorrow morning - my flights at six - so I dont think Ill come, thanks. The next train for London .. from platform six at 16.07. I .. some friends over for dinner on Saturday. Do you want to join us? They reckon the Greenland ice sheet .. within a few years. A: Gary doesnt want to come on holiday with us, then. B: He says that now, but Im sure Hannah him to change his mind. By the middle of the week, temperatures .. to 30 C. The striking workers have said that they will prevent finished goods leaving the factory until the management . to their demand for improved working conditions. Im not sure when Ill be home tonight. Expect me when you . me. A: The coach leaves Oxford at exactly 5.00 from the bus station. B: What if I .. it? A: Youll have to take the train. Can you answer this math homework? Please! Would kindly appreciate the help please !