Mathematics High School

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Answer 1

Answer:

Tn = 8n - 2

Step-by-step explanation:

Given the arithmetic sequence

6, 14, 22, 30, 38

The nth term is expressed as;

Tn = a +(n-1)d

a is the first term = 6

d is the common difference = 14 - 6 = 22 - 14 = 8

Substitute into the formula;

Tn = 6 + (n-1)(8)

Tn = 6 + 8n-8

Tn = 8n - 2

Hence the nth term of the sequence is 8n-2

Related Questions

Find the volume of a cylinder that has a diameter of 12 cm and a height of 5
cm. Use 3.14 for pi and round to the nearest tenth. *

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Answer:

V≈565.5cm³ is the answer

3х + 4y = - 23
х = 3y+1
Solve systems of equations!

Answers

Answer:

[tex]3(3y + 1) + 4y = - 23 \\ 9y + 3 + 4y = - 23 \\ 9y + 4y = - 23 - 3 \\ \frac{13y}{13y} = \frac{ - 26}{13} = - 2[/tex]

Taylor has dd dimes and qq quarters. She has a maximum of $4 worth of coins altogether. Write this situation as an inequality.

Answers

Answer: .10d+.25q<_ 4

Step-by-step explanation:

d= dimes and q = quarters

dimes are worth .10 and quarters are worth .25

The inequality for the given situation is

0.1d + 0.251 ≤ 4

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

10 dimes = 1 dollar

1 dime = 0.1 dollar

4 quarters = 1 dollar

1 quarter = 0.25 dollar

Now,

The maximum amount is $4.

So,

0.1d + 0.251 ≤ 4

Thus,

The inequality is 0.1d + 0.251 ≤ 4.

Learn more about inequalities here:

https://brainly.com/question/20383699

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Cost of a tie: $35.50
Markup: 30%
Discount: 20%
Tax: 5%

Answers

Answer:

40.25 i believe

Step-by-step explanation:

Which equation represents 4x – 3y = 15 when solved for y

Answers

Answer:

y=4/3x-5

Step-by-step explanation:

4x-3y=15

-4x -4x

______________

-3y=-4x+15

---- --- ---- (divide all by -3)

-3 -3 -3

y=4/3x-5

(2, 1), (4, 3). (6, 5), (8,7)

Answers

Answer:

(1, 2), (3, 4), (5, 6), (8, 7)

Step-by-step explanation:As we can observe from the answers the representation is about the pair of points. We can sort it out by excluding the wrong options.

I NEED HELP PLEASESEESEESSES

Answers

Answer:

Step-by-step explanation:

because u add

Three (3) consecutive integers is such that the largest is x. Write an expression
for the smallest.

Answers

Answer:

Consider 3 consecutive integers: (smallest) x, x+1 and x+2 (largest)

Step-by-step explanation:

Five times the smallest means 5x

Sum of the largest and five times the smallest means x+2+5x

This sum is -244 means x+2+5x=-244

Solve this equation

x+2+5x=-244

6x+2=-244

6x=-244-2

6x=-246

x=-41

So, smallest number is -41, second is -40 and largest is -39

You're answer is -39+5(-41)=244

PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!

When the original price and discounted prices are known, how can we find the percent markdown?

Answers

Step-by-step explanation:

The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.

Convert 4.2% to an
equivalent decimal.

Answers

Answer:

0.042

Step-by-step explanation:

divide by 100

Remember:

To convert a Decimal to Percent, you multiply the decimal by 100

To convert a Percent to a Decimal, you divide by 100

Answer:

0.042

Step-by-step explanation:

[tex]4.2/100 = 0.042[/tex]

10, 6, 3, 10, 1
Mode ??
Median ??

Answers

Answer:

Median is 6 Mode is 10

Step-by-step explanation:

Median is the middle number when all the numbers are lined up in order.

Mode is the number that shows up most frequently.

Answer:

Mode: 10

Median: 6

Step-by-step explanation:

1. g(x) = -2(x + 3) 2 - 1
Identify the a,h,k and vertex for each quadratic function

Answers

9514 1404 393

Answer:

a = -2, h = -3, k = -1

vertex = (-3, -1)

Step-by-step explanation:

Compare the given equation ...

g(x) = -2(x +3)² -1

to the vertex form ...

g(x) = a(x -h)² +k

You see that ...

a = -2

-h = +3 ⇒ h = -3

+k = -1 ⇒ k = -1

The vertex is (h, k), so is ...

vertex = (-3, -1)

What is the slope of 7; (4 -30)

Answers

Answer:

Can you restate the question, it is hard to solve with typos.

If you would like, it would also help to attach an image or picture of the question.

Kathy jumped 16 1/2 ft at the long jump event. Nadia jumped 18 1/8 ft at the long jump. How much farther did Nadia jump than Kathy?

Answers

Answer:

12 ft

Step-by-step explanation:

First you do 16 x 2 +1 and you get 133, second you do 18 x 8 +1 = 145 third you need to subtract 145 - 133, and you get 12 feet.

Hope this helped.

I need help with this math assignment!! Will mark brainliest!

Answers

Answer:

Sorry but i can't help u.

Step-by-step explanation:

Leila and Joe are two partners in a business. Leila makes $3 in profits for every $4 that Jo makes. If Jo makes $32 profit on the first item they sell, how much profit does Leila make?

Answers

Answer:

$24

Step-by-step explanation:

Since 32 divided by 4 equals 8, and 8 times 3 equals 24, if Jo makes $32 profit on the first item they sell, Leila will make $24 profit.

I hope this helps you :D

Which expression is equivalent to 0?
(a)(-a)
a +(-a)
a/-a
a - (-a)

Answers

Answer:

a - a or (a +(-a))

Step-by-step explanation:

A negative plus a positive is always zero if they have the same variable.

a+(-a) equals zero because they cancel each other out .

(a)(-a) equals -a
a/-a equals -a
and
a-(-a) equals positive a

a b =

PLEASE TELL NEEEE

Answers

Answer:

i am not sure if this is what u need but i hope it is.

In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object. The equality between A and B is written A = B, and pronounced A equals B.

Plz help a real one out

Answers

Answer:

Correct answer is A

Step-by-step explanation:

44.72+57.12 = 101.54

180-Ans

= 78.46

HELP FAS, worth 20 points

Answers

Answer:

1. infinite solutions.

2. no solutions.

Step-by-step explanation:

a. 8x + 7 = 8x + 7

The expressions are equal to each other; therefore, the equation has infinite solutions.

b. 10t - 6 = 10t + 6

10t = 10t + 12

0 = 12

These terms do not equal each other. 0 does not equal 12; therefore, this equation has no solutions.

3,1,-2,-4,-1, least to greatest

Answers

-4 -2 -1, 1 3 hope it helps

Answer:

-4, -2, -1, 1, 3

Step-by-step explanation:

Because some of these numbers are negative, they will be getting smaller as they get bigger. Think of it like this:

When you are determining whether the negative number is bigger or smaller, take the negative sign off or pretend its not there. Then, as the numbers get bigger, they become less. For example, you have these numbers:

-1, -5, -8, -3, and -2

To find out what the order is from least to greatest, you do this:

take the negative sign off

1,5,8,3, and 2

then put them in order from least to greatest

so its

1, 2, 3, 5, 8

Then flip it so its from greatest to least

so its

8,5,3,2,1

Now put the negative signs back

making it:

-8, -5, -3, -2, and -1

That is how you find out what the numbers are from least to greatest.

Hope this helps!

PS. You should eat chicken nuggets because they are good

5. Given the function f(x) = 3(1.55)x.
a. Does the above exponential function represent exponential growth or decay?
b. State the percent increase of the above function.
c. State the growth factor (or multiplier) of the above function.
d. What is the initial amount of f(x)?

Answers

Answer:

it A ;)

Step-by-step explanation:

If 3x - 7 = 2, then x equals?

Answers

Answer:

rjogir

grggreijgojrejow

Step-by-step explanation:

Answer:

3x - 7 = 2

3x = 2 + 7

3x = 9

x =9/3

x = 3

x equals 3

In the diagram below AB is parallel to CD what is the value of x

Answers

The value of x is 150°. The correct option is D. 150°

Calculating angles

From the question, we are to determine the measure of angle x

In the given diagram, we can observe that

The angle supplementary with x is 30° (Alternate angles theorem)

Thus,

x + 30° = 180° (Supplementary angles)

x = 180° - 30°

x = 150°

Hence, the value of x is 150°. The correct option is D. 150°

Learn more on Calculating angles here: https://brainly.com/question/12060386

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please help me this is due in 10 minutes i’ll give brainlyist

Answers

Answer:

y=125x+500

Step-by-step explanation: plug the values into x and it's that equation

A figure is made up of one square and one triangle. The square has a side Length of 13 feet. The triangle has a base of 13 feet and a height of 8.2 feet. What is the total area of the figure.

Answers

Im pretty sure it’s A because a squares area is base x height which would be 13x13= 169 then add the area of the triangle which would be 53.3, so 169+53.3 = 222.3

Why I don't have information to find the missing lengths?

Answers

Answer:

yes

Step-by-step explanation:

Ask your teacher. Or is that what you need answered

simplify
5p - 4p - 4p

Answers

Answer:

-3p

Step-by-step explanation:

Answer:

-3p

Step-by-step explanation:

5p - 4p = 1p - 4p = -3p

A drawer contains 8 blue socks, 8 black socks, and 4 white socks. Socks are picked at random. Explain why the events picking a blue sock and then another blue sock are dependent. Then find the probability.

Answers

Answer:

because he just wants his socks to wear

Step-by-step explanation:

3 times a number plus 5 is breathers than 12. Graph the possible solutions

Answers

3x12+5 is greater than 12 .

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please help! show all steps