Find the 62nd term of the arithmetic sequence
15, 13, 11, ...

Answers

Answer 1

Answer:

[tex]a_{62}=-107[/tex]

Step-by-step explanation:

This is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference and n is the index of any given term.

The common difference of the given sequence is -2:

[tex]13-15=-2\\11-13=-2[/tex]

Using the first term and the common difference, you can write the equation for this sequence:

[tex]a_n=15+(n-1)(-2)[/tex]

And using that equation, you can find the 62nd term:

[tex]a_{62}=15+(62-1)(-2)\\a_{62}=15+(61)(-2)\\a_{62}=15-122\\a_{62}=-107[/tex]


Related Questions

The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza?

Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Nevermind give the points to the another guy

Step-by-step explanation:

the area of the box (as a square) is

side length × side length = side length ²

that is here 12² = 144 in²

the area of a circle is

pi×r²

that is here

pi×5² = pi×25 = 3.14×25 = 78.50 in²

the difference is

144 - 78.5 = 65.50 in²

What is the answer I’ll rate you 5

Answers

The equation of the line is [tex]y=8[/tex]

To get the required equation, use the general form of the equation of a line having a gradient [tex]m[/tex], and passing through a point [tex](x_0,y_0)[/tex]

[tex]y-y_0=m(x-x_0)[/tex]

For our problem, the line has [tex]0[/tex] gradient, and passes through the point [tex](4,8)[/tex]

substituting the required values, we have

[tex]y-y_0=m(x-x_0)\\y-8=0(x-4)\\y-8=0\\y=8[/tex]

The required equation is [tex]y=8[/tex]

Learn more here: https://brainly.com/question/1690609

What is 4x+3x? Write solution.

Answers

Answer:

7x

Step-by-step explanation:

4x ( linear function) + 3x ( linear function) = 7x

[tex]\huge\boxed{Hello!:)}[/tex]

Combine like terms:

4x+3x=7x

Remember, we can add terms with the same variable together, but we can't add terms with different variables.

[tex]\huge\boxed{Hence,\:the\:answer\:is\:7x.}[/tex]

[tex]\huge\underline{Hope\:it\:helps!}[/tex]

[tex]\boxed{DreamyGal\:here\:to\:help!:)}[/tex]

Which graph represents the function?

Answers

Answer:

First one ( top left)

This has an open circle at y = 3 which means the 3 is not included.

Then the y value of the second line equals the x value.

I believe it’s the top left one.

The two on the right are not correct because they use a closed dot for a strict inequality (the one without the line under it has the empty dot)

The bottom left one can’t be correct in my eyes because the second equation says that y (f(x)) equals x if x is greater than or equal to one. But the range of the numbers don’t go beyond (0,1).

The top left is inclusive of numbers that are greater than 1.

Let me know how it goes I am not the best at math

Can somebody pls help me understand this question? (Give an explanation)

Question:
Below is a graph of 2 lines. Match the line with its slope.

Answers

Answer:

l: 1

k: 2

Step-by-step explanation:

The slope of a line is "the amount it goes up divided by the amount it goes right".

So if you pick a point on the line, and then step one grid position to the right, how much does it go up (or down, then you have a negative slope)?

In line l, it goes up one grid position for every step to the right, hence the slope is 1.

In line k, it goes up two positions for every step to the right, hence the slope there is 2.

Hope this explains it.

Which of the ordered pairs are solution to 4+3x=-2y

Answers

Answer:

I Believe the answer is (3x,-6y)

Step-by-step explanation:

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y) , I hope this helps.

Answer:

I Believe the answer is (3x,-6y)

From your equation 4+3x=2y you first want to isolate the variable ( Variable means letter or number with letter), so you isolate 3x and dont do anything to it. You do the opposite of what the equation is telling you , so 4+3 will change to 4-3 , then you subtract 4 from 4 itself then from 6 making you get -6 then you bring down the 3x and you have your answer (3x,-6y).

if the two coffee shops combine their supplies, how many stirrers will they have for tousday?

Answers

Answer:

50?

Step-by-step explanation:

it's 50 20+25i don't even know if this is the correct answee

Plc help! Factor completely 2a^3b-ab^3-1 2/3ab^3-a^3b-4 1/2a^2b-1/2a^2b

Answers

Answer:

116−−√

110−−√

14√

18√

Step-by-step explanation:

I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT. A 12-foot ladder is placed against a vertical Wall of a building with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer: The wall of the ladder reaches 10.91 feet.

Explanation:

Formulate

√12^2 - 5^2

Evaluate

10.90871

Round

10.90871 10.91

Therefore, the answer is 10.91 feet.

Answer:

10.91 feet

Step-by-step explanation:

Picture a right triangle with a hypotenuse of 12feet and a base of 5feet.

See the attachment.

Use the Pythagorean Theorem to solve.

Height = 10.91 feet.

To the nearest hundredth, find the area of a circle with a circumference of 69.08 feet. Use 3.14 for π.

Answers

Answer:

The radius would be 11ft.

Step-by-step explanation:

So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.

Hope that helps. x ps. Love the fact the picture is upside down :)

Consider the line y=-5/4x + 5
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:5

Step-by-step explanation:

A can of paint will cover 100 square feet. How many cans of paint will Hannah need to buy to paint all six surfaces of her room?​

Answers

Answer:

need to know the dimentions of the room

Step-by-step explanation:

Can someone please help me with this one? :D ty!

Answers

2,000 Sorry That Was I Know #carryonlearning

What is the linear function equation represented by the graph?

Answers

Answer:

y=1/3x-4

Step-by-step explanation:

The point where the line intercepts the y-axis is the y-intercept and where the digit -4 comes from

1/3 comes from how many times the line rises (1) and run (3)

Hope this helps!

find the ratio


3 ounces cost $2.73

Answers

Answer:

1 : $0.91

Step-by-step explanation:

divide 3 by 3

divide 2.73 by 3

1:0.91

What is the area of a cross section that is parallel to
face ABCD?
Enter your answer in the box.
cm2

Answers

Answer:

1296cm².

Step-by-step explanation:

= 12×36×6÷2 ................

plz check weather correct or notn

Subtract. Use models if needed. (9x - 12) - (5x - 7)

Answers

[tex](9x - 12) - (5x - 7)\\\\=9x-12-5x+7\\\\=4x-5[/tex]

You are 5 years less than your older brother express the age of your elder brother in terms of your age using variable​

Answers

Answer:

Step-by-step explanation:

If x represents your age then the age of your elder brother

is x + 5 years.

Answer:

Your age = y

So the variable expressing the age of your elder brother would be y + 5 (years).

Hope that helps?

if you add two obtuse angles do they sometimes make supplamentary angles?

Answers

Answer:

No, they can NEVER make supplementary angles.

Step-by-step explanation:

Two angles are supplementary when they add to 180 degrees. Since two obtuse angles have their angles greater than 90 degrees, they can never be supplementary. Let's take the angles as 91 degrees (the lowest whole obtuse measure). 91 + 91 = 182, which is more than 180.

Therefore, the answer is no.

Answer:

Adding two obtuse angles can never make supplementary angles.

Step-by-step explanation:

An obtuse angle has a measure of greater than 90°, and less than 180°.  

Supplementary angles are two angles whose sum add up to 180°.

We must determine whether adding two obtuse angles can make them supplementary angles through the following example.

Example:

Suppose that we have two obtuse angles:

m ∠ 1 = 90.1°

m∠ 2 = 90.1°

Let us add these two obtuse angles together to determine whether their sum is at most 180°.

m ∠ 1 + m ∠ 2 = ?

90.1° + 90.1° = 180.2°

Since their sum is greater than 180°, then it means that they are not supplements.

Conclusion:

Adding two obtuse angles will have a sum of greater than 180°, thus making them invalid as supplementary angles.

From 93 books to 144 books

Answers

51 Books

I think this is what you're looking for?

Are the ratios 6:5 and 19:15 equivalent?

Answers

No, because if you multiply 5 by 3 to get 15 for the denominator, you have to also multiply 6 by 3 which would be 18, and it has it at 19.

ANSWER: NO

Answer: no

Step-by-step explanation:

. What is 6 8ths x 5? Draw a model of your choice to help you solve.

WILL GIVE BRAINIST

Answers

Answer:

The complete and simplified answer to the question what is 6/8 of 5 is:  

3 3/4

Step-by-step explanation:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator: 5/1

So now that we've converted 5 into a fraction, to work out the answer, we put the fraction 6/8 side by side with our new fraction, 5/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

 

6 x 5/ 8 x 1  =  30 /8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 30 and 8 is 2.

We can now divide both the new numerator and the denominator by 2 to simplify this fraction down to its lowest terms.

30/2 = 15

8/2 = 4

When we put that together, we can see that our complete answer is:  

15/ 4

 

If you now simplifiy the COMPLETE anwser is:

3 3/4

800 students were surveyed to find out their favorite subject. 35% chose Math. How many students chose Math?

Answers

Answer:

35% of 800 = 280

...........

35 divided 100 of 800. Or
35% by 800 = 280

Write a quadratic function f whose zeros are 5 and -2

Answers

Answer:

y = (x-5)(x+2)

Step-by-step explanation:

the zeros are the solution to 'x' of each factor:

x-5=0;   x=5

x+2=0;   x = -2

97 term of-5,-23,-41

Answers

Answer:

-1147

Step-by-step explanation:

Answer:

-1733

Step-by-step explanation:

-5-96*18 = -1733

An alloy is made with 3 gram of silver, 18 gram of copper, 6 gram of aluminium and 3 gram od zinc. Find what part of the total is used for each metal.​

Answers

Add each metal together:
3+18+6+3 = 30

Now put divide each metal by 30 and multiply by 100 to get what percentage is each metal is of the alloy:

Silver- 3/30 x 100 = 10%
Copper- 18/30 x 100 = 60%
Aluminium- 6/30 x 100 = 20%
Zinc- 3/30 x 100 = 10%

(Ensure they all total 100% - which they do)

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles. On the Venn diagram, which region(s) represent the intersection of Set A and Set B (Aâ©B)? II I and III I, II, and III I, II, III, and IV.

Answers

The intersection of sets is the point that represents the common point of multiple sets.

The region that represents the intersection of sets A and B is region II.

From the question, we understand that sets A and B have a common set element at II.

This means that region II is the intersection of both sets.

Hence, the region that represents the intersection of sets A and B is II.

Read more about set intersection at:

https://brainly.com/question/6779867

Answer:

II is the answer

Step-by-step explanation:

Edge 2022

Please help will mark brainliest 12 x 12 - 44

Answers

Answer:

(12 x 12) - 44 = 100

Step-by-step explanation:

2.5kg of potatoes cost 1.40
work out the cost of 4.25kg

Answers

Answer:

$2.38

Step-by-step explanation:

Proportions:

2.5 kg ⇔ $1.40

4.25 kg ⇔ $P

P = 4.25kg * $1.40 / 2.5kg

P = $2.38

2) 4x - 4y = -12
x + 4y = -18

Solve by elimination

Answers

[tex]\left \{ {{4x - 4y = -12} \atop {x + 4y = -18}} \right. <=>\left \{ {{5x=-30} \atop {x + 4y = -18} \right. <=> \left \{ {x=-6} \atop {y=-3} \right.[/tex]

ok done. Thank to me :>

Other Questions
Which of the following is not considered a relationship skill A. Knowing your personal identity B.Sending and receiving messages with shared meaning C.Being able to resolve conflicts D. Being able to build consensus when solving problems Is a type of decision-making who over-analyzes information. An individual who is bilingual is able to speak two different languages. Please select the best answer from the choices provided T F. who vows to kill hamlet after his sister and father are killed? Can a person be exposed to HIV by kissing the cheek of an infected person? A. Yes, because there may be sweat on the infected person's cheek B. Yes, because it can live outside of the body for up to 24 hours C. No, because sweat does not contain the virus D. Yes, because any physical contact can transmit the virus. How did revivals give people the chance to rededicate themselves to religion? Solve for x&y using substitution but do it step by step The two interior opposite angles of an exterior angle of a triangle are 60% and 80 Find the measure of the exterior angle please help me Why does the moon appears to be less bright than the sun despite its very close distance to Earth. In what way does Isaac represent us? Identify the solution set of the inequality, using the given replacement set.x < 4; {10, 4.3, 4, 3.9, 2, 6.5}{10, 4.3, 4}1.{10, 4.3, 4}2.{4, 3.9, 2}3.{10, 4.3}4.{3.9, 2} Sally wants to buy themselves a beautiful, scrumptious, delightful cake but they don't know how money works. If Sally has $50.00, and the cake is $54.99, how much more do they need? literally just made this question off the top of my mind xD bullet-pointed summary of ideas Walden and Other WritingsBook by Henry David Thoreau? explain how constitutional provisions have supported and motivated social movements. what role has the 14th amendments equal protection clause played in the expansion of civil rights? Graph a line with a slope of -3/4 that contains the point (2,3). A Midsummer Night's Dream Act 2 Character MapGenessisDirection Now that you've nished Ad 2, complete the following chart with thecond cheroden' namesVby mamylotLegaluWhenhallinWewas heldcomoedeliondoughterBingoWendysuddenly pureon NewsthemOberon polomarry a man she doen loveview herwords to play any part in his productionas his propertyCuppen my souqopaso kodobowy8)legehawaitehawhen theredwapoing to play the lead roles in hisCindrele de loholesrungthe woodsto lindmody inlove withyaones to play the role ofThisbe's mother in a playhas the samecolowealthdl work ondan herCagesaland of Ad 2.thinks he loveswilling to be his spanielogrees to play the rolePoloher in a play16wied to be goodfriends with, butnow lows ofCr Write matlab code for motion of a car first order system Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number? Which line from the play The Glass Menagerie leaves matters uncertain when Tom and his mother are together on the fire escape? AMANDA: When he sees how lovely and sweet and pretty she is, he'll thank his lucky stars he was asked to dinner.TOM: If you're going to make such a fuss, I'll call it off, I'll tell him not to come!TOM: Aren't you being a little bit premature? Mr O'Connor has not yet appeared on the scene! AMANDA A secret, huh? Well, I won't tell mine either. I will be just as mysterious as you. The human heart is responsible for pumping blood ____ the body.