Mathematics High School

an = -15 + 5(n – 1)
Find the 21st term of the sequence.

Answers

Answer 1

Answer:

[tex]a21 = - 15 + 5(21 - 1) \\ = - 15 + 105 - 5 \\ = 85[/tex]

Answer 2

85 the 21st term of the sequence.

What is Arithmetic progression?

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

here, we have,

an = -15 + 5(n – 1)

so,

a_21= -15+(21-1)5

      =-15+100

      =85

Hence, 85 the 21st term of the sequence.

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Related Questions

An apple watch that sold for $200 was on sale for $120.
What was the percent of discount?


Answers

The percentage of discount is 40%
There was a 40% discount

How could you distinguish between traveling west at 5 miles per hour and traveling east at 5 miles per hour without using the words “east” and “west”?

Answers

Answer:

maybe you can say traveling to the left (west) and right(east) five miles per hour.

Step-by-step explanation:

If you use 20 cups of flour, how many teaspoons of vanilla should you use? *

Answers

Answer:

1/16

Step-by-step explanation:

You should use 1/16 teaspoons of vanilla for the 20 cups of flour that u used

Match the vocabulary terms to the correct definitions.

1. the set of second coordinates in a relation, all possible y values in a function
linear function
2. a function which has one or two variables with no powers, this functions’ graph will always be a straight line
domain
3. the set of first coordinates in a relation, all possible x values in a function
range
4. a function which contains an expression within absolute value symbols
absolute value function

Answers

Answer:

Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line.  Domain - the set of second coordinates in a relation, all possible y values in a function .                           Range -    the set of first coordinates in a relation, all possible x values in a function . Absolute Value function - A function which contains an expression within absolute value symbols .                                                                                                                   Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .  

Linear Function - A function that has one or two variables with no powers, this graph will always be a straight line.  

Domain - the set of second coordinates in a relation, all possible y values in a function .                          

Range -    the set of first coordinates in a relation, all possible x values in a function . Absolute Value function -

A function which contains an expression within absolute value symbols .                                                                                                                  

Step-by-step explanation: To be honest i guessed so if theses are wrong i am sorry . I really just wanted to help .  

(ONLY MY FRIENDS RESPOND) What is the Area of a square if it has L= 32cm and W= 20cm?
(Heres a re-made thing for my friends, sorry for the rushed handwriting, I had to do it before my mom saw, hope u guys can read it)

Answers

Answer:

640

Step-by-step explanation: and wow

Colin buys a tv for £800. It depreciates at a rate of 1% per year. How much will it be worth in 2 years? Give your answer to the nearest penny where appropriate

Answers

Answer:

708

Step-by-step explanation:

Answer

1.7/5

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Given:

The cost of the T.V. for Colin = £ 800.

The rate of depreciation per year = 4%

Time period = 3 years

To find:

How much will it be worth in 3 years? Give your answer to the nearest penny where appropriate.

Solution:

To solve the above-given problem, we will use the following formula:

where

A = the final value after depreciation

P = the present value

R = rate of depreciation

n = time period

Now, on substituting the given values in the formula, we get

we will round the above answer to its nearest penny where appropriate

≈ £ 708

Thus, the worth of the t.v. in 3 years will be £ 708.

Find the length of a segment in the coordinate plane with endpoints (-1,3) and (4, 5).​

Answers

Answer:

square root 29

Step-by-step explanation:

use the distance formula sqrt(x2-x1)^2+(y2-y1)^2  

sqrt(-1-4)^2+(3-5)^2= sqrt 29.

−5t=−45

Help

I need help thanks

Answers

Answer:

t=9

Step-by-step explanation:

You would just divide by 5 on both sides so you can get t= -9

PLZ ANSWER QUICK IT WILL HELP A LOT!

Answers

Answer:

B

Step-by-step explanation:

convert 1 1/2 ft. to inchs

Answers

18 inches................

What is the simplified value of the exponential expression 27 1/3

Answers

Answer:

3

Step-by-step explanation:

Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
when they visited a chocolate factory for work. If they decide to share it so that each family
member gets an equal amount, determine the required ratio and hence calculate how much
chocolate Mr Lee and Mrs Scarlett will each take home to their families.

Answers

Answer:

Mr Lee gets 9kg

Mrs Scarlett gets 6kg

Step-by-step explanation:

First, we have 15kg of chocolate and a total of 6 + 4 = 10 people.

We want to divide the 15kg of chocolate evenly between these 10 people, then we just need to do the quotient

15kg/10 = 1.5kg

This means that each person gets 1.5 kg of chocolate.

Now, Mr. Lee has a family of 6 people, and each one of these 6 people got 1.5 kg of chocolate, then the total amount of chocolate that Mr. Lee will bring home is 6 times 1.5kg:

6*1.5kg = 9kg

And Mrs Scarlett will get the remaining, that is:

15kg - 9kg = 6kg

Mrs Scarlett will get 6kg of chocolate.

there are 60 inches in 5 feet how many inches are in 8 feet​

Answers

There are 96 inches in 8 feet

i'm sending a lot there 14 i've been sick

Answers

Answer:

linear

Step-by-step explanation:

feel better

Answer:

Linear is that y=ax

And a=slope=(y-y)/(x-x)

a=(3-1)/(1-0)=2/1=2

If it is linear then take point A(3,10) and replace it in the equation y=2x

Then 10 is not equal to 2(3) which is 6

Then the answer is nonlinear function

I hope it is clear now

8) There are 14 animals in the barn. Some
are geese and some are goats. There are
52 legs in all. Ilow many of each animal
are there?

Answers

Answer:

There are 12 goats and 2 geese.

Step-by-step explanation:

X = geese; Y = goats

Geese have 2 legs each. Goats have 4 legs each.

2x + 4y = 52

There are 14 animals

x + y = 14

x = 14 - y

(replacement)

2(14 - y) + 4y = 52

(simplify)

28 - 2y + 4y = 52

28 + 2y = 52

2y = 24

y = 12

14 - 12 = 2

x = 2

Diego is 59.5 inches tall his brother is 40.125 inches tall how many inches taller then his brother is diego

Answers

Answer:

The correct answer is 19.375

Answer:

19.375in.

Step-by-step explanation: You take 59.5In. and you minus it from 40.125In.

Is the expression a polynomial? If so, is it a monomial, binomial or trinomial? 8x-2

help please

Answers

Answer:

Its a binomial because there are only 2 terms. and 1 sign telling you to do work

Step-by-step explanation:

The granola Summer buys used to cost $6.00 per pound, but it has been marked up 15%.

How much does it cost her to buy 2.6 pounds of granola at the new price?

Answers

Answer: $17.94

Step-by-step explanation:

I NEED HELP ✋!!!!!!!!!!!!!!!!!!!L!!!!!!!!!!!!

Answers

Helps me because I I’m dying

A line passes through the points (10, 6) and (5, -2). What is its equation in slope-intercept form?​

Answers

Answer:

10=x

6=y

5=x

-2=y

10-5=5

6--2=8

5/8=0.625

y=mx+b

Step-by-step explanation:

The equation of a line in slope-intercept form through the points (10, 6) and (5, -2) y = (4/5)x - 6.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at

x = 0.

Given, A line passes through the points (10, 6) and (5, -2).

We know the equation of a line in slope intercept form is y = mx + b.

Where slope(m) = (- 2 - 6)/(5 - 10).

slope(m) = - 8/-10.

slope(m) = 4/5.

Now for the y-intercept,

- 2 = (4/5)×5 + b.

- 2 = 4 + b.

b = - 6.

Therefore the required line in slope-intercept form is y = (4/5)x - 6.

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5. Priya can bike 150 meters in 20 seconds. At

this rate, how long would it take her to bike

3,000 meters?

Answers

Answer:

400 seconds

Step-by-step explanation:

Divide 3000/150 = 20

20 x 20 seconds = 400 seconds

Can I get some help with this question please?

Answers

Answer:

g would be 130 because it's a vertical angle with the 130 angle. h is 50 because it has to complement the 130 angle.

K is 74 because it's a vertical angle with the 74 angle, and m is 106 because it needs to complement with k.

Pls help ASAP. Mai solved the equation below incorrectly. Identify Mai's error then solve the equation correctly.

Answers

Hey mate we need picture in order to work.

Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge’s work is shown below.

Let x = the number of games played.

Equation: 8.25 minus 0.25 x = 9.75 minus 0.75 x. Step 1: negative 1.50 minus 0.25 x = negative 0.75 x. Step 2: negative 1.50 = 0.50 x. Step 3: negative 3 = x.


Jorge knows his answer is incorrect because it does not make sense to have a negative number of games. What is Jorge’s error?
The variable x should represent the amount of money left.
From Step 1 to Step 2, Jorge did not add 0.25x correctly to both sides.
The equation should have sums on both sides.
From Step 2 to Step 3, Jorge should have subtracted 0.50x from both sides.

Answers

Answer:

The variable x should represent the amount of money left.

Step-by-step explanation:

im not sure but this one makes sense

Answer:

The Answer to this problem is (A)

St)ep-by-step explanation:

The variable x should represent the amount of money left.

What numbers are included in the set of integers? What numbers are not included

Answers

The integers are the set of whole numbers and their opposites. Fractions and decimals are not included in the set of integers. For example, 2,5,0,−12,244,−15 and 8 are all integers.

Answer:

sample response: Integers are the set of whole numbers and their opposites. Fractions and decimals are not included in this set.

Step-by-step explanation:

3x 10'4+ 2.5 x 10’5 =

Answers

I believe your answer is 280000

Which number is not prime A.29 B.99 c.71 d.3

Answers

Answer:

sum like 99 becuz isz ur safest bet to get it right

Hey there!

Prime numbers are basically only approximately 2 FACTORS... 1 & that particular number

3 is PRIME because the only factors it has is 1 & 3 (so we can eliminate this as your possible answer)

29 is PRIME because it has 1 & 29 as its factors (we can eliminate this as your possible answer)

71 is PRIME because it has 1 & 71 as its factors as well! (So we can eliminate as your possible answer)

This leads Option B as your answer

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

What is 10% of 60? (I'm really confused)

Answers

Answer:

6

Step-by-step explanation:

there

if the current price of an xbox is $620.00, buy microsoft puts a new xbox two out on the market for $620.00, what price below would microsoft most likely sell the xbox one for?

Answers

320
I think that is gonna be it

miriam's house is 232 feet above the sea level, and silvia's house is 29 feet above sea level. about how many time's higher than sea level is miriam's house than silvia's?

Answers

Answer:

Step-by-step explanation:

about 9 because

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