write an explicit formula for An, the nth term of the sequence 40,33,26,…

Answers

Answer 1

Answer:

  an = 40 -7(n -1)

Step-by-step explanation:

The given sequence has terms with a common difference, so it is an arithmetic sequence. The formula for the general term of an arithmetic sequence applies:

  an = a1 +d(n -1)

__

The first term of the given sequence is ...

  a1 = 40

The common difference for this sequence is ...

  d = 33 -40 = -7

Using these values in the equation for the n-th term, we have ...

  an = 40 -7(n -1) . . . . . explicit formula for the n-th term


Related Questions

help me I don't know this answer ​

Answers

Answer:

What is the question?

Step-by-step explanation:

there is a jar of 25 marbles. 9 of the marbles have a blue and black pattern. 6 of the marbles are purple. 10 of the marbles are green. one marble is chosen at random. what is the probability of picking to blue and black patterned marbles?​

Answers

.36% chance of picking

Answer:

Probability = 9/25

This is 36%

Step-by-step explanation:

To find the probability take the total number of possibilities (25 marbles--all of them) put that number on the bottom of a fraction. Then put the number of ways that outcome can happen (9 blue and black) and put that on top of the fraction.

Probability(event)

= specific/total

Probability(blu&blk)

= 9/25

If the fraction can be simplified, do that. 9/25 cannot be simplified.

If you need a percent for your answer, divide then multiply by 100.

A fraction bar is a division symbol.

9/25 means 9÷25.

9/25 = .36

Percent means "per hundred" To convert a decimal to a percent, multiply by 100

.36×100 is 36%

NO LINKS!! Please help me. Part 2​

Answers

Answer:

11)  [tex]y=-(x-6)^2+4[/tex]

12)  [tex]y=(x+5)^2[/tex]

Step-by-step explanation:

Vertex form of a parabola:  

[tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Question 11

From inspection of the graph, the vertex is (6, 4)

[tex]\implies y=a(x-6)^2+4[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (4, 0):

[tex]\implies a(4-6)^2+4=0[/tex]

[tex]\implies a(-2)^2+4=0[/tex]

[tex]\implies 4a=-4[/tex]

[tex]\implies a=-1[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=-(x-6)^2+4[/tex]

Question 12

From inspection of the graph, the vertex is (-5, 0)

[tex]\implies y=a(x+5)^2[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (-3, 4):

[tex]\implies a(-3+5)^2=4[/tex]

[tex]\implies a(2)^2=4[/tex]

[tex]\implies 4a=4[/tex]

[tex]\implies a=1[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=(x+5)^2[/tex]

We need equation of the parabolas

#1

Vertex is at (6,4)

One x intercept is present (4,0)

Now put that in vertex form of parabola

y=a(x-h)²+k0=a(4-6)²+44a+4=0a=-1

So

equation

y=-(x-6)²+4

#2

Vertex at (-5,0)

So equation

y=a(x+5)²+0=a(x+5)²

See the general quadratic equation having vertex (0,0) is shifted to (-5,0) means 5 units left .

So there is no a means a=

Equation remains same

y=(x+5)²

37. Which of the following multiplication problems has a product that is less than
Select three that are correct.
A.
1
x
8 2
х
NI
х
B.
2
5
8
C.
CI W w
Х
wIW NI
co
D.
8
х
3
E.
8
х
w l w
100
8
F.
X
8 7
00 1 w
х

Answers

Answer:

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

Step-by-step explanation:

This is a very easy question if you think the opposite.

1.- The opposite of multiplication is division. So with this knowledge, we can form any amount of problems we want we just need to combine the numbers with our product which is 2.352.

2.- So in the first place, let's make it easy. If we divide 2.352 in 2 then we are going to obtain. 1.176 as a product. Then we combine our product with our divisor and we can multiply them to find our initial product which was 2.352.

3.- In the second place we go more complicate, we divide 2.352 in 6 and we will obtain. .392 then we combine .392 with 6 to multiply them and we obtain back our initial objective. Can you see? it is the easiest thing to do.

4.- We then look for scenarios to put these two processes and we will find our problems.

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

hellllllllllllllllllllllllllllp please

Answers

Answer:

The terms in pattern Y are 2 times the terms in pattern X

Step-by-step explanation:

7 yards and 2feet equals how many feet?

Answers

Answer:

23 ft

Step-by-step explanation:

a yard is 3 feet multiply it by 7 and you get 21 add 2 and you get 23. 23ft is your answer

Question 2 of 6 If x= 5 and y= 2, find: ху​

Answers

Answer:

10

Step-by-step explanation:

xy is simplyfied for x times y

is x is 5 and y is 2 you just substitute them in to get

5 x 2 = 10

                - -- - - - - - - - - - - - -- - - - - - - - - - - - - - - - -- - - -

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Evaluate xy when x=5 and y=2

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Write 5 in lieu of x:-

5y

Write 2 in lieu of y:-

5(2)

Multiply:-

10

Good luck.

    - - -- - - -  - --  -- - - - - - - - - - - - - - - --  -- - -  -- - -  -- - - - - - - - - - - - - - -

Kaylee used her saved birthday money to set up a college savings account that earns 4.2% interest compounded weekly. If the original amount deposited was $750, how much interest will she have earned after 10 years?
Total amount of interest rounded to the nearest penny.

Answers

keeping in mind that there are 52 weeks in a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 4.2\%\to \frac{4.2}{100}\dotfill &0.042\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty-two} \end{array}\dotfill &52\\ t=years\dotfill &10 \end{cases}[/tex]

[tex]A=750\left(1+\frac{0.042}{52}\right)^{52\cdot 10}\implies A=750\left( \frac{26021}{26000} \right)^{520} \\\\\\ \stackrel{\textit{\Large Amounts}}{\stackrel{accumulated}{750\left( \frac{26021}{26000} \right)^{520}}~~ - ~~\stackrel{original}{750}} ~~ \approx ~~ \stackrel{earned~interest}{391.28}[/tex]

Wanda is working on her predictions for the next few days. She calculates that there is a 20% chance of rain on Monday and a 20% chance of rain on Tuesday. If she is correct, what is the probability that it will rain on at least one of these days?

Answers

Answer:

36%

Step-by-step explanation:

the complement of it raining on at least one of these days = it not raining on any day

this means that if it does not rain on at least one day, it does not rain on any day

thus,

1 - probability of it not raining at all = probability it rains at least one day

probability it doesn't rain on monday = 1- 20% = 80%

probability it doesn't rain on tuesday = 1 - 20% = 80%

probability it doesn't rain on monday AND it doesn't rain on tuesday = probability it doesn't rain at all

P(A and B) = P(A) * P(B) = 0.8 * 0.8 = 0.64

1 - 0.64 = 0.36 as our answer

A 12 inch line segment is divided into two parts. Which of the following lengths result in a ratio closest to the golden ratio, 1+√5/2 ?

Answers

Answer:

2:4

Step-by-step explanation:

I remember doing this is my class

Plsss help
Suppose f(x) = x2. What is the graph of g(x)=(x)?
O A. H
-5
у
5
B.
int
-5
5
-5
5-
OD. H
5
-5

Answers

Step-by-step explanation:

come in ! think a little bit by yourself !

when x = 1, what is f(x) ?

it is f(1) = 1² = 1

what is then g(x) ?

g(1) = 1/4 × f(1) = 1/4 × 1 = 1/4

when x = 2, what is f(x) ?

f(2) = 2² = 4

what is then g(x) ?

g(2) = 1/4 × f(2) = 1/4 × 4 = 1

and equally for x = -1 and -2.

a square function always delivers positive numbers. and so does the square function multiplied by a positive constant (like for g(x)).

the only graph, where the curve is always above the x-axis (only positive results), and where the functional value for x = 1 is much smaller than 1, and the functional value for x = 2 is actually 1, is graph D.

so, D is the right answer.

Consider a standard deck of 52 cards (13 cards each in 4 suits, clubs, spades, diamonds and hearts). What is the probability of picking out 5 cards in a row which are all diamonds, without replacing any card to the deck?

Answers

5/52 as you are taking 5 cards out

What is the perimeter of the plot of land rounded to the nearest tenth of a foot? ​

Answers

Applying the distance formula, the perimeter of the plot of land, rounded to the nearest tenth, is: 482.8 ft.

What is the Distance Formula?

Distance formula is given as: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Name the coordinates of the plot of and as follows:

A (0, 120)

B (140, 100)

C (140, 20)

D (0, 0)

Perimeter of the plot of land = AB + BC + CD + AD

AD = |120 - 0| = 120 ft

BC = |100 - 20| = 80 ft

Use the distance formula to find AB and CD:

AB = √[(140−0)² + (100−120)²]

AB = √20000

AB = 141.4 ft

CD = √[(140−0)² + (20−0)²]

CD= √20000

CD = 141.4 ft

Perimeter of the plot of land = 141.4 + 141.4 + 120 + 80 = 482.8 ft.

Learn more about the distance formula on:

https://brainly.com/question/661229

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Identify the zeros of the graphed function.

A)

–2, 2

B)

–2

C)

–2, 0, 2

D)

2

Answers

Answer:

-2,2

Step-by-step explanation:

-2, 2, the X-intercepts

I NEEED HELP WITH THIS PROBLEM

Answers

Answer--[4]

Step-by-step explanation:

Because if the bottom one is 4 yards then the top one needs to be 4 yards.

You bought a baby fish that is 1/2 cm in length. If its length doubles every week, how long will it be in three months? Create a table to represent

Answers

Answer:

2,048 cm

Step-by-step explanation:

There are 4 weeks in a month, and the fish doubles in length every week

Let's put this into a table: (attached picture)

First we start off at 0.5 cm in week 0 (this is week 0 because you just bought the fish).

Then, the length doubles in week 1, so the fish becomes 1 cm.

In week 2, the fish's length doubles again to become 2 cm.

In week 3, the length doubles to become 4 cm.

So on, and so on until we reach a length of 2048 cm.

Therefore, after 3 months the fish's length will be 2,048 cm.

I hope this helps! Good luck, and if you have any questions please let me know in the comments!

x 5 10 15 20 y 21 26 31 36 An equation is y =

Answers

Answer:

y = x + 16

Step-by-step explanation:

1. Find slope: 1

2. Find y intercept by plugging in 2 points using slope intercept formula: 16

3. Plug in the information that you have into your formula: y = x + 16

Help please im slow and dont feel like doing this lol

Answers

Answer:

The answer would be .39

Step-by-step explanation:

So first we have to know the eqation to finding the area of a semicircle, this would be:

2r x π  ÷ 2 (r stands for radius)

Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5

And then you we would fill in the blanks and make our eqaution :

2 x 0.5 x 3.14  ÷ 2 which would give us the answer of .39

i have no idea if this is right so pls lmk!

Hello I was wondering What is 7% of 150

Answers

10.5
0.07(150)=10.5
Hope this helps

Answer:

10.5

Step-by-step explanation:

Please help me answer this question please

Answers

Answer:

B

Step-by-step explanation:

ok so let us start with the bases its 4*3 which is 12 and there are 2 so 12+12 and the bottom is 4*10 so its 12+12+40 then the back is 3*10 so its 12+12+40+30 and the front is easy 5*10 so 12+12+40+30+50 is the correct answer

Make me brainliest please

If 5 C - 2 = 3c , then 24 c =
06
O 8
O 16
0 24

Answers

Answer:

24

Step-by-step explanation:

5C - 2 = 3C

-> 5C - 3C = 2

-> 2C = 2

12(2C) = 12(2) (Multiply both sides by 12)

-> 24C = 24

If f(x)=3x+2 , determine the value of 2f(x) .

Answers

Answer:

6x+4

Step-by-step explanation:

I hope this helps! If it does, please mark me Brainliest! Thanks in advance!

Answer:

6x+4

Step-by-step explanation:

2(3x+2)

2*3x + 2*2

6x + 4

Solve the system using elimination.

Answers

Answer:

(-1, 3)

Step-by-step explanation:

x - 5y = -16  [Equation 1]

-x + 3y = 10 [Equation 2]

Adding both equations

x - x - 5y + 3y = -16 + 10-2y = -6y = 3

x - 5(3) = -16x - 15 = -16x = -1

Solution : (-1, 3)

Solving for x and y,

→ (x - 5y = -16) + (-x + 3y = 10)

→ x - 5y - x +3y = -16 + 10

→ -2y = -6

→ y = -6/-2

→ [ y = 3 ]

Finding the value of x,

→ x - 5y = -16

→ x - 5(3) = -16

→ x - 15 = -16

→ x = -16 + 15

→ [ x = -1]

___________________

→ -x + 3y = 10

→ -x + 3(3) = 10

→ -x + 9 = 10

→ -x = 10 - 9

→ [ x = -1 ]

Arranging them in ordered pair,

→ (x,y)

→ (-1,3)

Thus, the solution is (-1,3).

Which number is on the y-axis (4,6)

Answers

Answer:

6

Step-by-step explanation:

please help 10 points!!!

Answers

Answer:

2 seconds

Step-by-step explanation:

The variable S represents the height off the ground, so we can substitute in the value 140 for it:

[tex]140 = 80t - 5t^{2}[/tex]

We can add [tex]5t^{2}[/tex] to both sides and subtract [tex]80t[/tex] so the equation is in standard form:

[tex]5t^{2} - 80t + 140 = 0[/tex]

Every term has five as a factor, so we may divide both sides of the equation by 5.

[tex]t^{2} - 16t + 28 =0[/tex]

To factor this, we need two numbers that multiply to 28 and sum to -16. These numbers are -14 and -2, so these are the two factors:

[tex](t-14)(t-2)=0[/tex]

We can see that when t = 14 or 2, the whole left has a value of zero, so they are the two answers.

We are asked when the rocket first is at 140m, and 2 seconds is before 14, so the answer is 2 seconds.

If a polygon had 275diagonals, how many sides
must it have?

Answers

Answer:

25 sides

Step-by-step explanation:

Number of diagonals = n(n-1)/2 where n is the number of sides.

Therefore,

n(n-1)/2 = 275

n = 25

Jessica burned 589 calories hiking for
3 hours. Use compatible numbers to
estimate about how many calories
Jessica burned each hour.

Answers

The amount of calories that Jessica burns each hour of her hike is 196.33 calories.

How many calories are burn each hour?

Division is when a number is grouped into equal groups using another number. The sign used to denote division is ÷.

Calories burn per hour = 589 / 3 = 196.33 calories.

To learn more about division, please check: https://brainly.com/question/13281206

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16 out of every 20 students prefer hamburgers or hotdogs what percent of students prefer hamburgers

Answers

Answer:

16

Step-by-step explanation:

16

Evaluate each algebraic expression for x = 2, -3, 6, -5

Answers

The values of the expression for x = 2, -3, 6, -5 are -10, -12, 6 and -16, respectively

How to evaluate the expression?

The expression is given as:

f(x) = 2x - 6

When x = -2, we have:

f(-2) = 2(-2) - 6 = -10

For other values of x, we have:

f(-3) = 2(-3) - 6 = -12

f(6) = 2(6) - 6 = 6

f(-5) = 2(-5) - 6 = -16

Hence, the values of the expression for x = 2, -3, 6, -5 are -10, -12, 6 and -16, respectively

Read more about expressions at:

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On the coordinate grid, the graph of y = RootIndex 3 StartRoot negative x minus 1 EndRoot is shown. It is a reflection and translation of y = RootIndex 3 StartRoot x EndRoot. On a coordinate plane, a cube root function goes through (negative 2, 1), has an inflection point at (negative 1, 0), and goes through (7, negative 2). What is the range of the graphed function? {x |-2 < x < 2} {y |-2 < y < 2} {x | x is a real number} {y | y is a real number}

Answers

Answer:

Step-by-step explanation:

B {y |-2 < y < 2}

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