what is the 60th term of the sequence 2, -3, -8, -13?

Answers

Answer 1

Answer:

  -293

Step-by-step explanation:

The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...

  an = a1 +d(n -1)

  an = 2 -5(n -1)

The 60th term is ...

  a60 = 2 -5(60 -1) = -293


Related Questions

A line with a slope of -3 passes through the points (9, r) and (10, 3). What is the value of r? r​

Answers

Answer: The value of R is 6.

Explanation: I recommend you go to these two links for an easier understanding:

https://www.wikihow.com/Find-the-Y-Intercept

https://www.wikihow.com/Find-the-X-Intercept


Profit is defined as earnings less expenses (earnings - expenses). At the local hot-air balloon festival, the Ma & Pops Ice Cream Truck sells ice cream pops, which cost them $0.75 each, but are sold for $2 each. They also paid $50 to the festival's organizers for a vendor permit. The table below shows the earnings, expenses, and profit earned when 50, 75, and 100 ice cream pops were sold at the festival.

Answers

Answer:

Step-by-step explanation:

Simplify (5^3)^6 leaving your answer in index form.

Answers

Answer:

5^18.

Step-by-step explanation:

By the law of indices:

(a^b)^c = a^(bc)

So (5^3)^6

= 5^(3*6)

= 5^18.

Studying a group of children from first grade through high school to see the effect of pre-schooling on educational success would be which
type of study?
a
longitudinal
cross-sectional
Ос
natural observation
Od
experimental

Answers

Answer:

Longitudinal study

Step-by-step explanation:

Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.

This is the change in kinetic energy of a system in which a 16 kg object moving at 25 m/s slows to a velocity of 20 m/s.

Answers

The change in kinetic energy of the  system is 200 J

Kinetic energy is the energy that an object possesses as a result of its motion.

It is given by:

Kinetic energy = (1/2)m[v - u]²

Where m is the mass of the object, v is the final velocity and u is the initial velocity.

Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:

Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J

The change in kinetic energy of the  system is 200 J

Find out more at: https://brainly.com/question/12669551

Please Help ill give brainliest!!!! Help ASAP


Question: Whose puppy gained weight the slowest? How much did it gain per week?

Answers

Answer:

Camille's puppy becuase it gains about half a pound per week

Step-by-step explanation:

Answer:

Camille's puppy because it gains about half a pound per week

Step-by-step explanation:

brainliest please?

Identify the domain of the exponential function shown in the following graph :

Answers

Answer:

The domain of this exponential function is (all real numbers).

Step-by-step explanation:

The domain is all real numbers because according to the x-axis the function passes through all numbers the negative and positive. As you see the graph is continuous which means it will keep on going.

I hope this helps!

what is the total number of edges on a rectangular prism

Answers

Answer:

12 edges

Step-by-step explanation:

A rectangular prism has 6 faces, 8 vertices (or corners) and 12 edges.

Answer:

12

Step-by-step explanation:

The triangle shown below has an ar

Answers

Answer:

a^2+b^2=c^2

C=7

b=?

a=4

LET B=x =

[tex] \sqrt{65 } [/tex]

I will give brainlist

Answers

no clue

Step-by-step explanation:

...................

Ricky has seven dollars and one cent.
How is that amount written using a dollar sign?

Answers

Answer:

$7.01

Step-by-step explanation:

Answer:

$7.01

Step-by-step explanation:

You have seven whole dollars, which goes before the decimal point, then your cents go behind the decimal point.

Could y’all help me out with this?

Answers

Answer:

M' (5,-1)

D' (5,1)

A' (3,4)

W' (4,-1)

Step-by-step explanation:

We want to find the coordinates of Quadrilateral MDAW with vertices M(-1, 5), D(1,5), A(4,3), and W(-1,4) after a reflection across y = x.

We can find these coordinates by following the following rule:

Reflection over y = x rule : ( x , y ) ---> ( y , x )

Explanation of rule: Simply swap the places of the x and y values.

Applying rule to given coordinates:

M(-1,5) -----> swap x and y values -----> M'(5,-1)

D(1,5) ----> swap x and y values -----> D'(5,1)

A(4,3) -----> swap x and y values -----> A'(3,4)

W(-1,4) -----> swap x and y values -----> W'(4,-1)

So the coordinates of Quadrilateral MDAW  after a reflection over the y = x  line are M'(5,-1) , D'(5,1) , A'(3,4) , W'(4,-1)

For more validation, refer to the attached image

Consider the complex number 5 + 0.45i What is the real part of this complex number?

Answers

Answer: 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

A complex number in the form z = a + bi , then

the real part of z is a and b is the imaginary part

For 5 + 0.45i

where 5 is the real part

PART B: Uber was also available for Mike to use to get home from the airport. Uber
does not have an initial fee; it charges $3.45 per mile. Which would be a better deal
the taxi or Uber for Mike's trip home?

Answers

Answer:

taxi

Step-by-step explanation:

you would take the taxi because it would cost less than Uber

The taxi would be the better deal because of the price

I need help answering asap!

Answers

Answer:

4 is. R=11.94 D= 23.88

5 and 6 I am not sure tbh

7 D=60.50 R=30.25

8 D=60 C=120

Please answer this ASAP
Solve for x.
5x−3=13−3x

A: x=-2
B: x= -5
C: x=2
D: x=5

Answers

Answer:

c: x=2

Step-by-step explanation:

5x-3= 13-3x

   +3      +3

5x=16-3x

+3      +3

8x=16

divide all of it by 8 and thats how you get your answer


Which expression is equivalent to -9x^-1y^-9/-15x3y-3? Assume x & y ≠ 0

Answers

Step-by-step explanation:

when we have multiplications of fractions, we can simply "break" the multiplications apart, simplify every fraction, and then combine the results again.

-9/-15 = 3/5

x^-1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, when we multiply the 3 fractions again, we get

3/(5x⁶y⁶)

which is the second answer option.

unit 5 relationships in triangles homework 1 triangle midsegments

Answers

Based on the definition of a parallel line and the Midsegment Theorem the following are the right answers:

1. a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. a.) FH = 24

b.) JL = 74

c.) KJ = 60

d.) FJ = 30

4. a.) AE = 26

b.) AN = 58

c.) CT = 21.5

d.) Perimeter of ΔAEN = 127

5. x = 15

6. x = 6

What are Parallel lines?

Parallel lines coplanar straight lines that do not meet each other and are equal distance from each other.

The Triangle Midsegment TheoremA midsegment is a line that connects the midpoints of the two sides of a triangle together. Every triangle three midsegments.Based on the Midsegment Theorem of a triangle, the third side of a triangle is always parallel to the midsegment, and thus, the third side is twice the size of the midsegment. In order words, length of midsegment = ½(length of third side).

Applying the definition of a parallel line and the Midsegment Theorem the following can be solved as shown below:

1. The pairs of parallel lines in ΔAEC (i.e. the midsegment is parallel to the third side) are:

a.) BD║AE

b.) BF ║CE

c.) DF║CA

2. The segment parallel to the given segments are:

a.) YZ║RT

b.) RS ║XZ

c.) XY║TS

3. Given:

FG = 37; KL = 48; GH = 30

a.) FH = ½(KL)

Substitute

FH = ½(48)

FH = 24

b.) JL = 2(FG)

Substitute

JL = 2(37)

JL = 74

c.) KJ = 2(GH)

Substitute

KJ = 2(30)

KJ = 60

d.) FJ = ½(KJ)

Substitute

FJ = ½(60)

FJ = 30

4. Given:

PT = 13

EN = 43

CP = 29

a.) AE = 2(PT)

Substitute

AE = 2(13)

AE = 26

b.) AN = 2(CP)

Substitute

AN = 2(29)

AN = 58

c.) CT = ½(EN)

Substitute

CT = ½(43)

CT = 21.5

d.) Perimeter of ΔAEN = EN + AN + AE

Substitute

Perimeter of ΔAEN = 43 + 58 + 26

Perimeter of ΔAEN = 127

5. 10x + 44 = 2(8x - 23) (midsegment theorem)

10x + 44 = 16x - 46

Add like terms together

10x - 16x = -44 - 46

-6x = -90

Divide both sides by -6

x = 15

6. 19x - 28 = 2(6x + 7) (midsegment theorem)

19x - 28 = 12x + 14

Add like terms together

19x - 12x = 28 + 14

7x = 42

Divide both sides by 7

x = 6

Learn more about midsegment theorem on:

https://brainly.com/question/11482568

if z=3+i/3-i find the value of 1/z and z+1/z​

Answers

Ok done. Thank to me:>

Order them from least to greatest

5(exponent 0), 5(exponent 4), and 5(exponent -5)

Answers

5^-5, 5^0, 5^4

Explanation:

5^-5 would end up being in the negatives,

5^0 would end up equaling 5 or 0

5^4 is automatically more than 5^0 because 4 is greater than 0.

Challenge Question Sally's bank account balance was $50 on Monday. On Tuesday, she bought a new pair of shoes for $45. On Thursday evening she earned $25 babysitting her neighbor's children. On Friday she spent $42 on pizza for her friends. She earned $20 dollars on Saturday raking leaves. What is her bank account balance on Sunday? ?​

Answers

Answer:

  $8

Step-by-step explanation:

After the shoe purchase, her balance was $50 -45 = $5.

After depositing her babysitting earnings, her balance was $5+25 = $30.

After buying pizza, her balance was $30 -42 = -$12.

Assuming no overdraft charge, her balance after depositing her earnings was ...

  -$12 +20 = $8

Sally's balance on Sunday was $8.

Find the unknown number in the equation 16 x 7 = 28 x n. 4 7 8 10

Answers

Answer:

the answer is 4

Step-by-step explanation:

16×7= 112

112÷28=4

Helppppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

13+(12-x)+14+(20-x)+x+(15-x)+8=74

solve for x

x=4

18 of the 23 tables at Paul's Italian Restaurant are full. What is the ratio of the number of full tables to the number of empty tables?

Write your answer as two numbers separated by a colon (for example, 2:3).

Answers

Answer: 18:23

Step-by-step explanation:

angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (4x - 8)°, then find the measure of A.​

Answers

Complementary angles have a submission of 90 degrees thus :

[tex]angle \: \: A + angle \: \: B = 90°[/tex]

[tex](4x - 28)° + (4x - 8)° = 90°[/tex]

[tex]4x + 4x - 28 - 8 = 90[/tex]

Collect like terms

[tex]8x - 36 = 90[/tex]

Add both sides 36

[tex]8x - 36 + 36 = 90 + 36[/tex]

[tex]8x = 126[/tex]

Divide both sides by 8

[tex] \frac{8x}{8} = \frac{126}{8} \\ [/tex]

[tex]x = 15.75[/tex]

_____________________________________________

Now let's find the measure of A :

[tex]A = 4x - 28[/tex]

[tex]A = 4 \times (15.75) - 28[/tex]

[tex]A = 63 - 28[/tex]

[tex]A = 35°[/tex]

And we're done...

Don't have a good day , Have a great day ♡

Cherie has 4 gift cards. Each gift card is worth $10. If she spends $23, how much will she have left?

Answers

Answer: She'll have $17 left.

Step-by-step explanation:

4 * 10 = 40

40 - 17 = 23

Hope this helps!

i dont know how to do this stuff
im choosing brainliest

Answers

Answer:

5 - 15 = -10

Step-by-step explanation:

Answer:

5 - 15 = -10

Step-by-step explanation:

If you start with 5 and then subtract 15, you end up at -10.

Can some one help? This is sooooooo hard

Answers

Answer:

median is a hight of a triangle

BRAINLIEST NO LINKS

Allen is showing his work in simplifying −8.3 + 9.2 − 4.4 + 3.7. Identify any errors in his work or in his reasoning.

Step Work Reasoning

−8.3 + 9.2 − 4.4 + 3.7 Original problem

1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse

2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property

3 −8.3 + (4.4 + 9.2 + 3.7) Associative property

4 −8.3 + 17.3 Simplify

5 9 Simplify

A: He did not make any errors.

B: Step 1: He wrote −4.4 incorrectly as + 4.4.

C: Step 2: He identified changing the order of the numbers as the commutative property, which is incorrect.

D: Step 3: He identified changing the grouping of the numbers as the associative property, which is incorrect.

Answers

In 1. He did not use the correct of making it an additive inverse. Usually to make additive inverse, one has to add the same numbers but opposite signs with it to result for a zero.

So the answer for step 1. would be... - 8.3 + 8.3 + 9.2 - 9.2 - 4.4 + 4.4 + 3.7 - 3.7

In 2. he also had errors because commutative property states that we can place the numbers in a different format but the result number will always be the same.

So the original problem is −8.3 + 9.2 − 4.4 + 3.7  which results 0.2                                     but in Allen's workout: −8.3 + 4.4 + 9.2 + 3.7 results 9

Actually the answer is B.  cuz A is incorrect because he made errors. D is also incorrect because changing the grouping of numbers are commutative property. And step 2 is actually commutative so its not incorrect.

answer above is correct!

Missing Work Help!!!

I have a bunch of missing work.
What are some strategies to help stay calm and even out the work?

I would really appreciate the help :)

Answers

Answer:

Take Action: Take Time to Plan. ...

Take a Break: Get Out of the Office. ...

Take Action: Talk it Out with a Colleague. ...

Take a Break: Get a Full Night's Sleep. ...

Take Action: Work on the Weekends.

Answer:

If your due dates are at least by the end of the week, I recommend doing straight work for 30 minutes, then rewarding yourself. Repeat this for as long as you want but don't do so much that you weren't able to do anything socially for the whole day. If your due dates are already passed or if they are coming up really soon, I recommend putting on whatever music you like to listen to, but nothing to upbeat. Put on some calm music with a rain sound effects video in the background, and just keep working until you kind of dose off from reality and just get in the zone. A long answer, but it really helps.

Forgot to mention; if you ever get stressed out, either do something else to calm down, or use that stress to your advantage and do a ton of work because of it.

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