Find the formula for the nth term in this arithmetic sequence a1=0 a2=.5 a3=1 a4=1.5

Answers

Answer 1

Answer:

Step-by-step explanation:

The arithmetic sequence usually write as [tex]a_{n}=a_{1} +(n-1)d[/tex], where a1 is the first term and d is a common difference.

[tex]a_{n} = a_{1}+(n-1)d\\a_{n} = 0+(n-1)0.5\\[/tex]


Related Questions

A coach buys a uniform and a basketball for each of the 20 players on the team. Each
basketball costs $10.40. The coach spends a total of $620 for uniforms and basketballs
What was the cost of a single uniform?

Answers

Answer:

$20.60

Step-by-step explanation:

You find how much it costs for the total amount of basketballs (10.40×20=208), then you subtract that number from the total cost of everything to get the cost of all the uniforms (620-208=412), then you divide the total costs for all uniforms by 20 to find the cost for a single uniform (412÷20=20.6). Always make sure that the decimals go until the hundredths place for USD.

Hope this helps!

what type of line is not a function

Answers

Answer:

A vertical line

find the profile or loss s.p= 575​

Answers

Answer:

more info?

Step-by-step explanation:

plssssss helpppp !!
tysmmmm

Answers

I think that the answer would be two triangles.

Jay's hair grows about 8 inches each year. Write a function that describes the length l in inches that Jay's hair will grow for each year k. Which kind of model best describes the function?

Answers

Answer:

l=8k

Step-by-step explanation:

Answer:

y=8k

Step-by-step explanation:

Write a real world problem that can be represented by 10x-40=100

Answers

Answer:

10x - 40 = 100, x = 14

Step-by-step explanation:

At a flower shop, there are 10 bouquets with the same amount of flowers in each of them. In total, 40 flowers were purchased. Now, there are 100 flowers left in the shop. How many flowers are in a bouquet?

This situation can be represented by

10x

(the number represents the bouquets, while the variable x represents the amount of flowers in a bouquet)

- 40

(this represents the flowers that were purchased)

= 100

(this represents the flowers remaining)

The term to term rule for a sequence is Multiply by 2 the sequence starts a 2a ___ ___ the total value of the first three terms is 63 work out the total value of the first four terms

Answers

Answer:

135

Step-by-step explanation:

The sequence are:

a, 2a, 4a, 8a, 16a.....

the total value of the first three terms is 63

That is,

a + 2a + 4a = 63

7a = 63

a = 63/7

a = 9

work out the total value of the first four terms

First four terms are: a, 2a, 4a, 8a

Where,

First term, a = 9

Second term, 2a = 2*9 = 18

Third term, 4a = 4*9 = 36

Fourth term, 8a = 8*9 = 72

The total value of the first four terms = 9 + 18 + 36 + 72

= 135

The total value of the first four terms = 135

PLEASEEEE HELP!!! 20 point for this

Answers

Answer:

Let x be the number of hours Jose worked washing cars last week and y be the number of hours Jose worked waking dogs last week.

10x + 9y = 122

x + y = 13

Compare the two functions below in two complete sentences.

Help

Answers

Answer:

I guess we have the table:

x     f(x)

-4      7

-2      5

0       3

2       1

4      - 1

To find the slope of this, we need to select two different points (x1, y1) and (x2, y2) and use the relation:

slope = (y2 - y1)/(x2 - x1)

let´s use the first two:

(-4,7) and (-2, 5)

Slope = (5 - 7)/(-2 - (-4)) = -2/2 = -1

Now, if we want to be sure that this is a linear equation, we should do the same for other two pairs of points, now use the first and the third:

(-4, 7) and (0,3)

S = (3 - 7)/(0 -(-4)) = -4/4 = -1

Now, for the function g(x) we can see a constant line, that is parallel to the x-axis.

This means that the slope of this function is equal to zero.

This means that the slope of g(x) is bigger than the slope of f(x), because 0 > 1 i guess

Triangle Sums***GRADED 1 of 51 of 5 Items #1 Triangle RST is shown. What is the measure of ∠T? Record your answer and fill in the bubbles on the grid. Be sure to use correct place value.

Answers

Answer:

[tex]\angle T = 70[/tex]

Step-by-step explanation:

Given

[tex]\angle T= 2x[/tex]

[tex]\angle S= 75[/tex]

[tex]\angle R= x[/tex]

See attachment for triangle

Required

Calculate [tex]\angle T[/tex]

First, we add up the angles in the triangle;

[tex]\angle R + \angle S + \angle T = 180[/tex]

[tex]x + 75 + 2x = 180[/tex]

Collect like terms

[tex]x + 2x = 180 - 75[/tex]

[tex]3x = 105[/tex]

Solve for x

[tex]x = \frac{105}{3}[/tex]

[tex]x = 35[/tex]

Given that:

[tex]\angle T= 2x[/tex]

[tex]\angle T = 2 * 35[/tex]

[tex]\angle T = 70[/tex]

5potatos + 56 potatos

Answers

Answer:

61

Step-by-step explanation:

Computer world has all computer has all computers on sale for 20% off. If the regular price of a laptop is $750, what is the sale price?

Answers

Answer:

Selling price of the laptop is $600.

Step-by-step explanation:

Let the sale price of the laptop = $x

Regular price of the laptop = $750

Discount on each computer = 20%

Selling price of the laptop 'x' = 750 - (20% of 750)

                                                = 750 - [tex](\frac{20}{100}\times 750)[/tex]

                                                = 750 - 150

                                                = $600

Therefore, selling price of the laptop is $600.

Help with question 3 please I’ll give brainlest

Answers

Answer: b

Step-by-step explanation: When you rotate it around the axis (think of it as a pole) it will become a cylinder with radius 5

Function B has a greater rate of change and a smaller y-intercept than function A. Which equation could represent function B?

Answers

Answer:

function A : y = 50 + 0.5x ; y = 40 + 0.6x

Step-by-step explanation:

Function is a relationship between values in set x & set y.

In case functional relationship equation is y = c + sx . c is the y intercept ie constant value of y when x = 0, & s is slope rate of change ie = change in y / change in x.

If function A is y = 50 + 0.5x. Intercept (c) = 50 , change rate (slope) = 0.5

If function B is y = 40 + 0.6x. Intercept (c) = 40 ie lesser, change rate (slope) = 0.6 ie greater

What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n? (1 point)

Answers

Answer:

n= 1

Got it right on my test \( ̄︶ ̄*\))

Which expression is equivalent to -6(-2\3 +2x)

-4-12x
-4+2x
4-12x
4+12x

Answers

Answer:

4 - 12x

Step-by-step explanation:

Use the distributive property.

-6(-2/3 +2x) =

= -6 × -2/3 + (-6) × 2x

= 4 - 12x

Use the distributive property to simplify the following expression: 3 (2 + 5z.)​

Answers

3(2+5z)
3 x 2 = 6 and 3 x 5z = 15z
6+15z

Answer:

6+15z

Step-by-step explanation:

We multiply 3 to 2+5z. So, (3x2)+(3x5z)

On a coordinate plane, a triangle is located at (3, 4), and a square is located at
(10, 4). What is the distance between the square and triangle?

Answers

Answer:

7

Step-by-step explanation:

Answer:

7 units north

Step-by-step explanation:

Count from 3,4 to 10,4 and there are seven units

Which group of numbers is listed from least to greatest?

-4, -6, -7, -8, -9
-2, 3, 5, -8, 9
7, 4, -6, -7, -9
-2, -1, 0, 4, 9

Answers

Answer:

-2, -1, 0, 4, 9

Step-by-step explanation:

Least to greatest: -2, -1, 0, 4, 9

help please! i dont understand how i'm supposed to fill the table if i dont have all the information

Answers

Use the ticket price in the first column in the formula 400-7p to get the answer for the second column (number of tickets sold)

Then multiple the number to f tickets in the second column by the price in the first to determine the revenue.

Factor the expression: 5x^2 +12x+4
can anybody help?

Answers

Answer:

[tex](x + 2)(5x + 2)[/tex]

Step-by-step explanation:

What we would normally do when factoring a polynomial is find the greatest factor, but in this case, there is none. What we do then is multiply the coefficient of the first term by the last term.

So in this case, that expression would be...

[tex]5 * 4 = 20[/tex]

Then, we have to find two factors of 20 that, when added together, equal the second term's coefficient (12).

These factors would be 2 and 10.

[tex]2 * 10 = 20\\\\2 + 10 = 12[/tex]

We then replace the second term in the polynomial with [tex]10x + 2x[/tex]. This ends up looking like this:

[tex]5x^2 +10x + 2x +4[/tex]

Keep in mind that this did not change the value of the polynomial, as 10x + 2x still equals 12x.

This new expression lets us use a technique called group factoring. To start group factoring, we need to take out the greatest common factor (GCF) of the first two terms. That ends up looking like this:

[tex]5x(x + 2)[/tex]

Then, we do the same thing with the last two terms.

[tex]2(x + 2)[/tex]

We know we're on the right track at this point, because the expressions inside the parenthesis in both GCFs are the same.

The last step is combining the terms on the outside of the parenthesis, and multiplying it with what's inside the parenthesis. The final answer looks like this.

[tex](x + 2)(5x + 2)[/tex]

A rectangle has a length of 2x + 1 and a width
of 5x - 4. Which expression best describes the
area of the rectangle?
F 7x - 3
H 10x2 – 3x - 4
J 10x2 + 13x - 4
G 14x - 6

Answers

Answer:

H

Step-by-step explanation:

The rectangle has a length of (2x + 1) and a width of (5x - 4).

And we want to select the expression that represents the rectangle's area.

Recall that a rectangle's area is simply its length multiplied by its width. Thus:

[tex]A=(2x+1)(5x-4)[/tex]

Expand by distributing:

[tex]A=(2x+1)(5x)+(2x+1)(-4)[/tex]

Distribute:

[tex]A=(10x^2+5x)+(-8x-4)[/tex]

Simplify:

[tex]A=10x^2-3x-4[/tex]

Hence, our answer is H.

The price of crude oil, per barrel, in the year 2006 was estimated at $66.02. There was a 9.5% increase in the year
2007 and a 38.83% increase in the year 2008. Determine the approximate value for a barrel of crude oil in the year
2008. Round your answer to the nearest cent.
a. $128.74
c. $179.27
b. $91.66
d. $100.36

Answers

Answer:

D.) $100.36

Step-by-step explanation:

66.02/100 = 0.6602

0.6602 x 109.5 = 72.2919

72.2919/100 = 0.722919

0.722919 x 138.83 = 100.36

Find the Range of the following set of data. (Round to the
nearest whole number.)
1, 1, 3,0, 7, 2, 0, 3, 1, 6, 8, 1
PLEASE HELP IM DESPERATE

Answers

Step-by-step explanation:

put them in least to greatest, so that would be: 0,0,1,1,1,1,2,3,3,6,8,7,8, then do the greatest minus the lowest: 8-0=8

!
A store is selling electronics
and mark up all the prices by
30%. If the store's cost for a
printer is $25, what is the
customer's cost?
בדד
תחזרי

Answers

Answer:

im guessing 32.5$ but i honestly dont know lol

Step-by-step explanation:

Ling measured a shopping center and made a scale drawing. The scale of the drawing was 1 millimeter: 3 meters. The actual width of the parking lot is 42 meters. How wide is the parking lot in the drawing?

Answers

Answer:

14

Step-by-step explanation:

42:?

3:1

42/3=14

42:14

3:1

If cos x = -√3/2
in which quadrants could a.
I and IV, only
b.
II and IV, only
c.
II and III, only
d.
I and III, only

Answers

Answer:

c

Step-by-step explanation:

A large box of cereal has 26.8 ounces costs $5.79. A small box of the same cereal has 19 ounces and costs 4.19. Which box of cereal is the better buy

Answers

Answer:

A small box of the same cereal has 19 ounces and costs 4.19.

Step-by-step explanation:

In the first case, you have $3.37 per 15.3 ounces

Thus take 3.37 / 15.3 and you get $0.2203 per ounce or 22 cents per ounce

 

In the second case, you have $4.59 per 20 ounces

Thus take 4.59 / 20 and you get $0.2295 per ounce or almost 23 cents per ounce

 

So the smaller box actually has a slightly cheaper cost per ounce associated with it.

Which of the following points is not an ordered pair for the function

ƒ(x ) =5/2 x + 6?

(4, 16)
(2, 7)
(-2, 1)

Answers

Answer:

(2, 7) is not an ordered pair for the function.

Step-by-step explanation:

In the above figure, m∠AOC = 30° and m∠BOD = (2x + 39)°. If ∠AOC and ∠BOD are vertical angles, what is the value of x? A. x = 69 B. x = -9 C. x = 34.5 D. x = -4.5
i need help asap

Answers

Answer:

bestie thats hard

Step-by-step explanation:

Answer:

D. x=-4.5

Step-by-step explanation:

Since they are both vertical angles, m∠BOD must also be equal to 30 degrees, and if you input -4.5 as x, (2 x -4.5x) + 39, that is rewritten as -9 and 39. 39 - 9 is 30 degrees.

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