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 jug holds 2 cups of liquid. a recipe for fruit punch is 1/2 cups of orange juice. 1/4 cup of raspberry juice, 3/8 cups of grapefruit juice, and 5/8 cups of lemonade. the the jug big enough for the punch? explain

Answers

Yes the jug can hold the punch!

If you add up 1/2 + 1/4 + 3/8 + 5/8 you’ll end up with 1 and 3/4 cup so it is close to 2 cups but not quite there yet!

Hope this helps!

Help please, what's the interquartile range?​

Answers

The interquartile range is 6.

Q3-Q1=IQR
17-11=6

Show all of your work. Simplify the expression: - 3a + 7 + 5a​

Answers

Answer:

2a + 7

Step-by-step explanation:

-3a + 7 +5a

subtract the negative 3 from the 5

2a + 7

Answer: it would be 2a+7

Step-by-step explanation: Hope this help :D

Jackson bought a jar of 240 marbles. The percent bar graph shows the percentage of each color marble in the jar.





How many of the marbles are yellow?

Answers

Answer:

72 marbles are yellow

Step-by-step explanation:

A rectangular prism has a length of 16in, a height of 15in, and a width of 6in. What is its volume, in cubic in?

Answers

Answer:

9in

Step-by-step explanation:

a p e x

Answer:

Step-by-step explanation:

hi, find the real zeros. if there are none, just say none.

Answers

Answer:

None

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

cause there isnt any zero

Torrence wants to remodel apartment . The first thing he is Going to do is replace the floors in the living space and kitchen .

Answers

I don’t see what u need help w.

Can one of you guys help me

Answers

It would be 12 because for every 8 carts we have 3 carts with 4 items. So if we add 24 to 8 we get 32 carts. We can set up a ratio of 3/8=x/32
We get 32*3/8x and that is 12

The doctor wrote a prescription for 3,110 milliliters of medicine. How many liters of medicine did she prescribe? (1 liter = 1,000 milliliters)

Answers

Answer:

3.11 liters

Step-by-step explanation:

converting mL to L requires dividing by 1000, or moving the decimal point 3 places to the left

Subtract the following polynomials in this equation

Answers

A is the answer to your question

For the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions. Pam's salary is $30,000, and last year, she contributed $4000 to her 401(k) plan. What was her employer's contribution to the 401(k)?  A. $4000  B. $3600  C. $2250  D. $1800

Answers

Her employer's contribution to the 401(k) was $2,500.

Calculus

Given that for the first 3% of Pam's salary, her employer matches 100% of her 401(k) contributions, and from 3% to 12%, Pam's employer matches 50% of her 401(k) contributions, and Pam's salary is $30,000 , and last year, she contributed $4000 to her 401(k) plan, to determine what was her employer's contribution to the 401(k) the following calculation must be made:

4000 / 12 x 3 = X1000 = X(4000 / 12 x 9) / 2 = X3000 / 2 = X1500 = X1000 + 1500 = 2500

Therefore, her employer's contribution to the 401(k) was $2,500.

Learn more about calculus in https://brainly.com/question/22810844

Answer: C. $2250

Step-by-step explanation: took the quiz.

whats the difference between coterminal, reference, and rotational angles?

Answers

Answer:

If two angles in standard position have the same terminal side, they are called coterminal angles.

The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.

Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation

If two angles in standard position have the same terminal side, they are called coterminal angles.

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

Coterminal angles are those angles that share the terminal side of an angle occupying the standard position. The standard position means that one side of the angle is fixed along the positive x-axis, and the vertex is located at the origin.

The reference angle is the acute angle (the smallest angle) formed by the terminal side of the given angle and the x-axis.

Angle of Rotation is the measurement of the amount of the angle, by which a figure is rotated counterclockwise about a fixed point, often the center of a circle. Usually clockwise rotation is called as Negative rotation.

Hence, if two angles in standard position have the same terminal side, they are called coterminal angles.

To learn more about an angle visit:

https://brainly.com/question/28451077.

#SPJ2

Mrs Fuller plants a 4 inch tomato plant in her garden. The tomato plant grows at a rate of 2 inches each week. Which equation can be used to determine h, the height of the tomato plant in inches after w weeks?

Answers

Answer: 4 + 2w

Step-by-step explanation:

The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:

h = 4 + 2(w)

h = 4 + 2w

For example, the height of the tomato plant in inches after 5 weeks will be:

h = 4 + 2w

h = 4 + 2(5)

h = 4 + 10

h = 14 inches

Help!! Il give brainlest to the right one

Answers

Answer:

Blue

Step-by-step explanation:

Answer:

multiply 6 on both sides

Step-by-step explanation:

you multiply 6 on both sides to get x by its self so your answer in total would be 21

1. Write the word sentence as an equation. 2. Then solve the equation. 5/7a=25

Answers

Answer:

a = 35

Step-by-step explanation:

5/7a = 25

multiply both sides by 7:

5a = 175

divide by 5:

a = 35

Hope this helps !!!

I AM IN GREAT DEED OF HELP RIGHT NOW

Answers

Answer:

$4.16

Step-by-step explanation:

8% of $52 is 4.16.

In total the item would cost $56.16.

All you do is 52 x .08 = 4.16

Make sure to divide the percentage (8/100=.08) before multiplying.

A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?​

Answers

Answer:

1/18

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

25 points. Need help

Answers

Answer:

BD = 21 units

Step-by-step explanation:

By applying mean ratio theorem in the given triangle ABC,

[tex]\frac{AD}{BD}=\frac{BD}{CD}[/tex]

AD × CD = BD²

21 × 21 = BD²

BD² = (21)²

BD = 21

Therefore, measure of segment BD is 21 units.

Tell me the definitions of the following vocabulary words:



quadrilateral:



parallelogram


trapeze:



rectangle:



diamond:



square: PLS HELP ME

Answers

Answer:

quadrilateral: a four-sided shape or figure and has four striaght sides

parallelogram: four-sided plane with oppisite paraell sides

trapezoid: a quadrilateral with one pair of parell sides  

rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,  

diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .

square: a quadrilateral with four equal sides. It is a rectangle and parallagram.

Hope that helped you! :)

Step-by-step explanation:

Find the measure of the complement of an 18° angle.

Answers

Answer:

72°

Step-by-step explanation:

Hello There!

Complementary angles have a sum of 90 degrees

So to find the missing angle we subtract the measure of the given angle (18 in this case) from 90

90 - 18 = 72

so your answer will be 72°

Two-step equation
2x+5x=-1
What's the answer for x=

Answers

-1 / 7 = x

You need to combine the 2x and 5x then devise the 7x from -1

Answer:

x=-1/7

Step-by-step explanation:

Combine like terms

7x=−1

Then you divide both sides by 7 and then you get x=-1/7 (fraction)

Hope it helps :)

Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?

Answers

Answer:

231.59 years

Step-by-step explanation:

To model this situation we are going to use the exponential decay function:

f(t)= a (1-b)^t

where f(t) is the final amount remaining after t years of decay

a is the final amount

b is the decay rate in decimal form

t is the time in years

For Substance A:

Since  we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r = 0.15/100 = 0.0015. Replacing the values in our function:

f(t) = a (1-b)^t

f(t) = 300 (1-0.0015)^t

f(t) = 300 (0.9985)^t equation (1)

For Substance B:

Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:

r=0.37/100= 0.0037. Replacing the values in our function:

f(t) = a (1-b)^t

f(t)= 500 (1-0.0037)^t

f(t)=500(0.9963)^t equation (2)

Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:

M=300(0.9985)^t equation (1)

M=500(0.9963)^t equation (2)

We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :

{M=300(0.9985)^t

{M=500(0.9963)^t

Hope with a question

Answers

Answer:

(3,7)

Step-by-step explanation:

A computer randomly selects a number from the given set. {1.2 5 10 25 30 36} What is the probability that an even number is selected? Enter your answer as a fraction, in simplest form, in the box. Pleven) =​

Answers

Answer:

4/7 (I may be wrong)

Step-by-step explanation:

There are 7 numbers, of which 4 are even. This could be %100 wrong/right.

the product of 2 consecutive integers is 42. find the integers

Answers

Answer:

6 & 7

Step-by-step explanation:

6 x 7 = 42

They are consecutive!

Answer:

6x7

Step-by-step explanation:

hope this helps!

Question 2 (1 point)
A bag holds 6 tiles: 2 lettered and 4 numbered. Without looking,
you choose a tile. What is the probability of drawing a number?

Answers

..........2/3...........

Find the value of x.
(3x+20) º
12°

Answers

Answer:

x=32°

Step-by-step explanation:

2x+3x+20=180 co interior angle

5x=180-20

x=160/5=32°

Answer:

12°

Step-by-step explanation:

a straight line adds up to 180°

(3x+20)+2x=180

3x+2x+20=180

5x+20=180

5x=180-20

5x=60

5x/5=60/5

x=12

x=12°

Select the equivalent expression. −4(2a−3)+5a
1. 3(a+4)
2. −3(a−4)
3. −3(a+4)
4. 3(a−4)

Answers

i think it’s number 4 not sure though

(1)/(8)-1(7)/(8) please help

Answers

Answer: -0.75

1/8 - 1(7)/8 = -3/4= -0.75

Answer:

[tex]\frac{1}{8} -1\frac{7}{8}[/tex]

[tex]\frac{1}{8} -\frac{15}{8}[/tex]

[tex]\frac{1-15}{8}[/tex]

[tex]-\frac{14}{8}[/tex]

[tex]-\frac{7}{4}[/tex]

[tex]-1\frac{3}{4}[/tex]

Step-by-step explanation:

I HATE SCHOOL ESPECIALLY MATH

Answers

36 over 49

36
——
49


Or
As a decimal
About 0.7346939

Answer:

Step-by-step explanation:

Answer is in the picture. I promise its not a bad picture.

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