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

Answers

Answer 1

Answer:

497

Step-by-step explanation:

a(87) = -19+(87-1)6

a(87)=-19+(86)6

a(87)=-19+516

a(87)=497

I used the arithmetic formula which is an=a1+(n-1)d.....


Related Questions

Transformation picture above!!

Transformation picture above!!

Answers

Answer:

Pretty sure it is C

Step-by-step explanation:

Suppose f(z)= ∑an(z-zo)" is a series satisfying the hypotheses of Corollary 5.26
(a) Suppose part 1 has been proved. Explain why the function f(z)-a-1(2-zo)-¹ is analytic on the annulus. Hence conclude that f(z) is analytic on the annulus. (This is different to Corollary 5.18 since a-1(2-zo)-¹ has no anti-derivative on the annulus!)
(b) In order to mimic the proof of Corollary 5.18 to show that f(z) is differentiable term-by- term, what properties must the curve C have?
(c) Prove part 3 (recall Exercise 5.3.6- the same hint works!)

Answers

(a) The function f(z) - a-1(2-zo)-¹ is analytic on the annulus because it can be expressed as a power series. By subtracting the term a-1(2-zo)-¹ from f(z), we obtain a new series that satisfies the hypotheses of Corollary 5.26.

(b) To mimic the proof of Corollary 5.18 and show that f(z) is differentiable term-by-term, the curve C must satisfy the condition that it lies entirely within the annulus where f(z) is analytic.

(c) To prove part 3 of the corollary, we can use Exercise 5.3.6, which states that if f(z) is a function analytic on a domain D and F(z) is an antiderivative of f(z) on D, then the integral of f(z) along any curve in D depends only on the endpoints of the curve.

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pls help pls help!!!!! ok ty

pls help pls help!!!!! ok ty

Answers

Answer:

D

Step-by-step explanation:

Indepedent values basically means the x-values

Also sorry for last answer

Write the equation of the line.

Write the equation of the line.

Answers

Answer:

y=2x+4

Step-by-step explanation:

First find out the slope, pick out 2 points. For ex. (-2,0) & (0,4)

Slope=4-0/0-(-2)

=4/2

=2

Y-intercept is 4.

Slope-Intercept form: y=mx+b

m is slope & b is y-intercept

y=2x+4

HOPE I helped!

given the equation f(x)=−2x 4find the equation to the function that is perpendicular to f(x) and passes through the point (0,3).

Answers

To find the equation of the function that is perpendicular to f(x) and passes through (0,3), we need to first determine the slope of the line perpendicular to f(x). The slope of f(x) is -8x³, so the slope of the line perpendicular to f(x) will be the negative reciprocal of -8x³, which is 1/8x³.



Now we can use the point-slope form of an equation to find the equation of the line that passes through (0,3) with a slope of 1/8x³. The point-slope form of an equation is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values we have, we get:

y - 3 = (1/8x³)(x - 0)

Simplifying this equation, we get:

y - 3 = 1/8x³ * x
y - 3 = 1/8x²
8y - 24 = x²

Therefore, the equation of the function that is perpendicular to f(x) and passes through the point (0,3) is x² = 8y - 24.

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Who introduced judicial activism?

Answers

Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

What is judicial activism?

Judicial activism is a judicial philosophy that is sometimes referred to as "legislating from the bench". It is an exercise of judicial review and generally refers to the willingness of a judge to strike down legislative or executive actions regarding constitutional issues. Judicial restraint is generally thought of as the opposite of judicial activism.[1]

Earlier in the january of 1947 ,Arthur Schlesinger Jr. introduced the term "judicial activism" .An article by Keenan Kmiec says that in its early usage, it was sometimes used with a positive connotation akin to the term "civil rights activist".

Thus , Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".

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Please answer this question ty

Please answer this question ty

Answers

Answer:

m<1 = 45 M<2 = 135 M<3 = 45

Step-by-step explanation:

Answer: M<1 = 45, M<2 = 135, m<4 = 45

Step-by-step explanation:

Angles such as 1 to 4 and 2 to 3 have the same angle, so you take the total of 3 and 2 (270) and subtract it from 360 to to get the values of angles 1 and 4 combined. divide this in half to separate the two angles to get 45 degrees.

135+135=270

360-270=90

90/2=45

Why would a mutual fund, a collection of stocks, bonds, and other securities, have less risk than investing in stocks alone?

Answers

Answer:

Mutual funds, collections of stocks, bonds, and other securities, have less risk than investing in stocks alone because of the risk associated with the ever-changing market.

Step-by-step explanation:

got 100% on edge

3|1/2x + 5| + 7 = 5

Answers

Answer:

x is -34/3 and -26/3

Step-by-step explanation:

Given the expression

3|1/2x+5| + 7 = 5

Removing the modulus sign

3(1/2x+5) + 7 = 5

Subtract 7 from both sides

3(1/2x+5) + 7 - 7= 5 - 7

3(1/2x+5) = -2

Open the bracket

3/2 x + 15 = -2

Subtract 15 from both sides

3/2 x + 15-15 = -2 - 15

3/2 x = -17

3x = -2*17

3x  = -34

x = -34/3

Hence the value of x is -34/3

For the negative function:

3(1/2x+5) + 7 = 5

Subtract 7 from both sides

3(-(1/2x+5)) + 7 - 7= 5 - 7

3(-1/2x-5) = -2

Open the bracket

-3/2 x - 15 = -2

Add 15 from both sides

3/2 x + 15-15 = -2 + 15

-3/2 x = 13

-3x = 2 * 13

-3x  =26

x = -26/3

Hence the value of x is -26/3

Can anyone please help meee!!

Can anyone please help meee!!

Answers

Answer:

equilateral acute

Step-by-step explanation:

equilateral-- all the sides have the same length

acute-- all the angles are below 90 degree

Answer:

Step-by-step explanation:

You'r answer should be an equilateral acute.

Emily spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -4.7°F. Between 9am and noon, the temperature increased by 17.4°F. Between noon and 3pm, the temperature dropped 8.9°F. Between 3pm and 6pm, the temperature decreased by 15.3°F. What was the temperature at 6pm?

Answers

The temperature at 6 pm is -11.5°F, after a cumulative decrease throughout the day.

To find the temperature at 6 pm, we need to calculate the cumulative change in temperature from 9 am to 6 pm.

Starting with the temperature at 9 am, which is -4.7°F:

- From 9 am to noon, the temperature increased by 17.4°F, so the temperature at noon is: -4.7°F + 17.4°F = 12.7°F.

- From noon to 3 pm, the temperature dropped by 8.9°F, so the temperature at 3 pm is: 12.7°F - 8.9°F = 3.8°F.

- From 3 pm to 6 pm, the temperature decreased by 15.3°F, so the temperature at 6 pm is: 3.8°F - 15.3°F = -11.5°F.

Therefore, the temperature at 6 pm is -11.5°F.

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The museum is hosting a show for July that features the oil
paintings by different artists. All artists show the same number of
paintings and each will show more than 1 painting. How many
artists could be featured in the shows?

Answers

Answer:

This depends on the total number of paintings in the show. If the total number of paintings is known, then the number of artists can be calculated by dividing the total number of paintings by the number of paintings each artist will show.Step-by-step explanation:

Given the equation of a plane ax+by+cz = d
one point 0,0,1
and a normal 0,0,1
move the plane 10 units along the normal of the plane

Answers

The new equation of the plane, moved 10 units along its normal vector, is: ax + by + cz = d + 10.

To move the plane 10 units along its normal vector, we can simply adjust the constant term in the equation of the plane. Since the normal vector of the plane is (0, 0, 1), which points in the z-direction, we need to change the value of d in the equation ax + by + cz = d by adding 10 units.

The original equation of the plane is: ax + by + cz = d

To move the plane 10 units along the normal vector, the new equation becomes: ax + by + cz = d + 10

Since the normal vector is (0, 0, 1), the coefficient of z remains unchanged. The coefficients a and b also stay the same because the plane is moving directly along the normal vector.

Therefore, the new equation of the plane, moved 10 units along its normal vector, is: ax + by + cz = d + 10.

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????????????????????????

????????????????????????

Answers

Answer:

3 c  3 3 3 33  3 the 3 one

Step-by-step explanation:

HELP ASAP A furniture manufacturer must pay $16.91 to make a certain kind of chair, which it can sell for $55.75. If the manufacturer has starting overhead costs of $18,340, not including production costs, how many chairs must it sell to realize a profit of $24,850, to the nearest chair?
a. 1,112
b. 918
c. 775
d. 640

(10 points and brainliest if the answer is right)

Answers

Answer:

A. 1,112

Step-by-step explanation:

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Option A is the correct answer.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by finding the profit per chair:

So,

Profit per chair = Selling price - Production cost

= $55.75 - $16.91

= $38.84

Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:

Profit = Profit per chair x Number of chairs sold - Overhead costs

$24,850 = $38.84x - $18,340

$43,190 = $38.84x

x = 1,112.49

Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Therefore,

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

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HP usually sells its laser printers at discounted prices and charges its customers much more when those customers buy consumables such as printer cartridges. What can we learn from this

Answers

HP's pricing strategy allows them to capture a larger customer base, create customer loyalty and long-term profitability.

HP uses the 'razor' and 'blade' model. Here, Laser printer is sold at a lower price while the consumables (printer cartridges) are sold at higher profit margins. This strategy aims to create a recurring revenue stream from the sales of consumables, which have higher profit margins compared to the initial printer sale.

By relying on the sales of consumables, HP diversifies its revenue streams. While printer sales may have lower profit margins, the higher profit margins from consumables help offset those costs and contribute to overall profitability. This reduces HP's reliance on a single revenue source and improves financial stability.

Therefore , HP is leaning towards a scheme which aims at long-term profitability.

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you have torn a tendon and is facing surgery to repair it. the surgeon explains the risks to you: infection occurs in 3% of such operations, the repair fails in 13%, and both infection and failure occur together in 2%. what percentage of these operations succeed and are free from infection? give your answer as a whole number.

Answers

The percentage of the operations succeed and are free from infection = 86%

The probability of infection, P(infection) = 3% = 0.03

The probability of repair fails, P(repair fail) = 13% = 0.13

Probability of both infection and repair fail, P(infection ∩ repair fail) = 2% = 0.02

We know that, if A and B are two events, then,

P(A ∪ B) = P(A) + P(B) - P(A∩B)

So Probability of infection or repair fail = P(infection ∪ repair fail)

                                                                 =  P(infection) +  P(repair fail) - P(infection ∩ repair fail)                        

                                                                = 0.03 + 0.13 - 0.02

                                                                = 0.14

Now P(not A) = 1 - P(A)

So probability of no infection and repair success

= P(no infection and repair success                                                        

= P(not [infection ∪ repair fail])                                                                

= 1 - P(infection ∪ repair fail)

= 1 - 0.14

= 0.86

Hence The percentage of the operations succeed and are free from infection = 0.86 x 100% = 86%

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Given the equation
2x² = 12x - 5
enter the values of a, b, and c, where a is a positive integer.

Answers

The values of a= 2, b= -12 and c= 5.

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term.

Quadratic equations are another name for it.

The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

Given:

Equation: 2x² = 12x - 5

Rewriting the equation

2x² - 12x + 5 =0

We know that the standard form of Quadratic Equation is

ax² + bx + c = 0

where a, b, and c are integers and a ≠ 0.

Now, Comparing the standard equation with Given equation we get

a= 2, b= -12, c= 5

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find the hypotenuse: c =

find the hypotenuse: c =

Answers

The answer is 1.5 that is because

I need help on these two questions please

I need help on these two questions please
I need help on these two questions please

Answers

Answer:

For #1=     D = 24.25     #2=       D= 21

Step-by-step explanation:

hope this helps. pls mrk me branliest :)

Answer:

1)24.25

2)21

Step-by-step explanation:

1) (a/4)^2=(20/4)^2=25

b/2/8=6/8=3/4

25-3/4

=100/4-3/4

=97/4

=24.25

2)2(x-y)^2=2(3)^2=18

x-y=3

=18+3

=21

Hope this helps!

\( \Sigma 0 / 1 \) pt \( \bigcirc 3 \rightleftarrows 19 \) D Details Given the ellipse \( \frac{(x-6)^{2}}{9}+\frac{(y-2)^{2}}{16}=1 \) Find the center point: List the four vertices:

Answers

The four vertices of the given ellipse {(x-6)^2}/{3^2} + {(y-2)^2}/{4^2}=1 with a center point (6,2) are (9, 2), (3, 2), (6, 6), and (6, -2).

The given ellipse is in the form of [(x-h)^2/a^2]+[(y-k)^2/b^2]=1 where (h, k) is the center of the ellipse.

Therefore, we can see that the given ellipse is in the standard form of an ellipse.

Thus, the center point can be found by comparing the given equation to the standard equation.

The standard form of the equation of an ellipse is [(x-h)^2/a^2]+[(y-k)^2/b^2]=1

Comparing it with the given equation,{(x-6)^2}/{3^2} + {(y-2)^2}/{4^2}=1

We get that the center point is (6, 2). So, the center point is (6, 2).

Now, let us find the four vertices of the ellipse. The distance of the vertices from the center is a. The value of a is 3 in this case.

Therefore, we can use the center point (6, 2) and the value of a to calculate the coordinates of the four vertices of the ellipse.

So, the coordinates of the four vertices are (9, 2), (3, 2), (6, 6), and (6, -2).

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Ferris wheel diameter was 250 feet. Calculate it’s radius. If 40 steel rods were joined at the centre find the total steel required?

Answers

Answer:

785.5ft

Step-by-step explanation:

Given data

Diameter= 250ft

Radius= D/2= 250/2= 125ft

The total steel required can be found from the Circumference

C= 2πr

C= 2*3.142*125

C= 785.5ft

Hence the total steel required is 785.5ft    

The ages between 2 brothers is 64. In 4 years the older brother will be 3 times as old as the younger brother. What are their current ages?​

Answers

Answer:

bnyhhjjvcxzzzxzxvbnn

Step-by-step explanation:

fh

vbmmhhhgfxsssbb bmmbhhhjj

Add.

(6x³ + 3x² − 2) + (x³ - 5x² − 3)

Express the answer in standard form. (Please and thank you)

Answers

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

7x^3 - 2x^2 - 5

----------------------------------------

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Hope this helps! :)

Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Question #4
A system of equations is shown below.
(4x - 5y = - 10
2x - 7y = 4
Which operations on the system of equations will isolate the y quantity?

Answers

Answer:

y = -4/5x + 2 & y = -2/7x - 4/7

Step-by-step explanation:

(4x) - 5y = -10                                             (2x) - 7y = 4

Move 4x on the same side as -10            Move 2x on the same side as 4

-5y = 4x -10                                                -7y = 2x + 4

Divide -5 to both sides                              Divide -7 by both sides

That should isolate the y for both equations.

4x/-5 = -4/5x....-10/-5 = 2                            2x/-7 = -2/7x....4/-7 = -4/7

y = -4/5x + 2                                                y = -2/7x - 4/7

If that wasn't the answer to your question, I'm sorry.

But if it did, then your welcome.

Which animal shelter has the dog that weighs old Least

Which animal shelter has the dog that weighs old Least

Answers

Answer:

shelter B

Step-by-step explanation:

I think im so sorry if im wrong but it seems B is correct

The school's copier can
make 30 copies in 12a
minute. How many
copies can it make in 18
minutes?

Answers

Answer: 45 copies in 18 minutes

Step-by-step explanation:

i figured it out ;)

Tickets to Disney World are $100. The price is going to increase on
January 1. What is the percent of change if the cost increases to a $142?

Answers

Answer:

42%

Step-by-step explanation:

Answer:

42%

Step-by-step explanation:

To find the percent change, divide the difference in the prices by the original price

42/100

= 0.42

So, the percent change was 42%

determine the measure of each segment then indicate whether the statements are true or false

determine the measure of each segment then indicate whether the statements are true or false

Answers

Answer:

\(d_{AB}\ne d_{JK}\)

\(d_{AB}\ne \:d_{GH}\)

\(d_{GH}\ne \:d_{JK}\)

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

Step-by-step explanation:

Considering the graph

Given the vertices of the segment AB

A(-4, 4)B(2, 5)

Finding the length of AB using the formula

\(d_{AB}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

        \(=\sqrt{\left(2-\left(-4\right)\right)^2+\left(5-4\right)^2}\)

         \(=\sqrt{\left(2+4\right)^2+\left(5-4\right)^2}\)

         \(=\sqrt{6^2+1}\)

         \(=\sqrt{36+1}\)

        \(=\sqrt{37}\)

\(d_{AB}\:=\sqrt{37}\)

\(d_{AB}=6.08\) units        

Given the vertices of the segment JK

J(2, 2)K(7, 2)

From the graph, it is clear that the length of JK = 5 units

so

\(d_{JK}=5\) units

Given the vertices of the segment GH

G(-5, -2)H(-2, -2)

Finding the length of GH using the formula

\(d_{GH}\:=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\)

         \(=\sqrt{\left(-2-\left(-5\right)\right)^2+\left(-2-\left(-2\right)\right)^2}\)

          \(=\sqrt{\left(5-2\right)^2+\left(2-2\right)^2}\)

          \(=\sqrt{3^2+0}\)

           \(=\sqrt{3^2}\)

\(\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a,\:\quad \mathrm{\:assuming\:}a\ge 0\)

\(d_{GH}\:=\:3\) units

Thus, from the calculations, it is clear that:

\(d_{AB}=6.08\)  

\(d_{JK}=5\)

\(d_{GH}\:=\:3\)

Thus,

\(d_{AB}\ne d_{JK}\)

\(d_{AB}\ne \:d_{GH}\)

\(d_{GH}\ne \:d_{JK}\)

Therefore,

Option (A) is false

Option (B) is false

Option (C) is false

WILL MARK YOU BRAINLIEST

WILL MARK YOU BRAINLIEST

Answers

Answer:

6      and           7

Step-by-step explanation:

now make me brainliest

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