Write an explicit formula for an, the nth term of the sequence 35, 38, 41, ...

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 3n + 32

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 38 - 35 = 41 - 38 = 3

This indicates the sequence is arithmetic with n th term ( explicit formula )

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 35 and d = 3 , then

[tex]a_{n}[/tex] = 35 + 3(n - 1) = 35 + 3n - 3 = 3n + 32


Related Questions

help me plssss lsss i really need help today like today today

Answers

Answer:

1. Reflection across the x-axis:

  1) (-2,-2)

  2) (-1,-4)

  3) (3,-4)

2. Reflect across the y-acis:

  1) (-1,-3)

  2) (-2,1)

  3) (-4,1)

Brainiest PLZZZ

I need help with this one and other question that I put

Answers

c should be your answer

need help ASAP !!!

[tex] \sqrt{8745 \times 8745} [/tex]

Answers

Answer:

8745

Step-by-step explanation:

Here,

[tex] \sqrt{8745 \times 8745} [/tex]

= 8745 (Ans)

D Melissa takes the 10 30 from Christchurch. How long does she wait in Wellington? Hour minutes

Answers

Answer:

1:45 hours

Step-by-step explanation:

Given

See attachment for missing part of the question

Required

How long she waits in Wellington

From the question:

She takes the 10 30 from Christchurch

So:

[tex]Christchurch\ Depart = 10\ 30[/tex]

This implies that:

She has to wait until Wellington arrives at 11 15

So:

[tex]Wellington\ Arrives= 11\ 15[/tex]

So, the wait time is:

[tex]Wait\ time = Wellington\ Arrives - Christchurch\ depart[/tex]

[tex]Wait\ time = 11: 15 - 10: 30[/tex]

[tex]Wait\ time = 1:45\ hr[/tex]

2. Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.

Answers

You have to multiply all 3 so I believe it’s 14.04 I hope it’s correct!

Answer:

14.04      

Step-by-step explanation:                                                                                                       :)

30 POINTS
I think i have it right this time

Answers

Answer:

your answer is b

Step-by-step explanation:

Will give brainiest to whoever figured this out

Answers

Answer:

your answer will be 0.0001042

Step-by-step explanation:

hope it helps

have a wonderful day

5(a+b), if a = -4, b= -2

HELP PLZ

Answers

Answer:=−10

Step-by-step explanation:

[tex]{ \rightarrow{ \sf{ \green{ \: \: \: 5(a + b)}}}} \\ \\ { \tt{ \blue{a = - 4}}} \\ { \tt{ \blue{b = - 2}}} \\ \\ { \dashrightarrow{ \sf{ \green{5( - 4 - 2)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{5 \times ( - 6)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{ - 30}}}}[/tex]

which term is a perfect square of the root 3x4?

Answers

Answer:

4

Step-by-step explanation:

Answer:

9x^8

Step-by-step explanation:

good luck

If 50 students were surveyed, how many chose
chocolate?
V 20 students
If 80 students were surveyed, how many chose vanilla?
20 students

Answers

Answer:

If 50 students were surveyed, how many chose

chocolate?

20 students

If 80 students were surveyed, how many chose vanilla?

20 students

Step-by-step explanation:


(b) If the median of the following data is 40, write down
the class where the median lies.

Answers

Answer:

maximum- median

80-50=30

A florist creates 46 floral arrangements every 3 days. How many floral arrangements will the florist create in 3 weeks?

Answers

Answer:

322

Step-by-step explanation:

is this right plz help​

Answers

Answer:

yes you are correct :)

Step-by-step explanation:

Yes you are correct because y intercept or the b is on the y line meaning 0,3 and the m or the slope is going down by 2 each or up by 2

what would my answer be?

Answers

Since triangle is isosceles, that means that unknown angles are equal. 180-72=108
108:2=54
So you’re answer would be: 54 degrees.

explain how to write an equivalent expression using the distributive property 2(11+y)

Answers

Answer:

Sample Response: To use the distributive property, distribute multiplication by 2 to both terms inside the parentheses. The products are 2(11) and 2(y). The equivalent expression is 22 + 2y

Step-by-step explanation:

you're welcome

An annual pass to an amusement
park costs $87.95 per person. If
the park makes $52,770 from these
sale of passes, which equation can
you use to find the total number of
annual passes purchased?

Answers

Answer:

87.95x = 52,770

600 annual passes were purchased

In a classroom, there are 3 more girls than boys and the ratio of girls to boys is 6 to 5.
What equation represents "there are 3 more girls than boys?"
A. G = B + 3
B. B = G + 3
C. 6B = 5G
D. 6G = 5B

Answers

Answer:

the answer is d

Step-by-step explanation:

I came to this answer with simple deduction and process of elimination.

Find the height of the cone. Round your answer to the nearest whole number.
h
8 in.
Volume = 670 in 3

Answers

Answer:

3

Step-by-step explanation:

3.34in is ans and after rounding off we can get 3

x^2 - 10x + 24 = 024

Answers

Answer:

x=0,10

Step-by-step explanation:

which is written in standard form ? A,B,C, or D

Answers

Answer:

c is in standard form

Step-by-step explanation: hoped I helped

In a​ survey, 250 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 4 .

Answers

Answer:

the theoretical probability would be 20%, the experimental probability, i would need to see the table for.

good luck, i hope this helps :)

what is the answer to this​

Answers

Answer:

im going with c anyone else

Step-by-step explanation:

Jasmine had $120,000 last year. This year she has $50,000

What is the percentage difference?

Answers

50000 is the old value and 120000 is the new value. In this case we have a positive change (increase) of 140 percent because the new value is greater than the old value.

The percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.

What is percentage?

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

The last year value = $120000,

The new value of this year = $50000,

Calculate the percentage by the following formula,

Percentage difference = The new value of this year / The last year's value ×100

Substitute value

Percentage difference = 50000 / 120000 × 100

Percentage difference = 41.6%

Therefore, the percentage difference if Jasmine had $120,000 last year and this year she has $50,000 is 41.6%.

To know more about percentages:

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what’s the answer? (picture)

Answers

I think it would be B i’m sorry if it’s wrong have a good day!

A person places $127 in an investment account earning an annual rate of 4.2%, compounded continuously. Using the formula V = P e r t V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 16 years.

Answers

Answer: $248.68

Step-by-step explanation:

Given

Money compounded according to

[tex]\Rightarrow V=Pe^{rt}\\[/tex]

Here, P=$127

r=4.2%

t=16 years

[tex]\Rightarrow V=127e^{0.042\times 16}\\\\\Rightarrow V=127e^{0.672}=127\times 1.958\\\\\Rightarrow V=\$248.68[/tex]

Value after 16 years is $248.68

Answer: 248.69

Step-by-step explanation:

r= 4.2%

=0.042

r=4.2%=0.042

P= 127

P=127

t=16

t=16

V

=

P

e

r

t

V=Pe

rt

V

=

127

e

0.042

(

16

)

V=127e

0.042(16)

V

=

127

e

0.672

V=127e

0.672

V

=

248.685

248.69

V=248.685≈248.69

A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x

Answers

Question:

A population of insects, in thousands, can be modeled using the function

[tex]p(t) = 1.75(0.97)^t[/tex], where t is time in months. Which statement best

describes the population of insects?

A. The population is decaying at a rate of 3% each month.

B. The population is decaying at a rate of 25% each month.

C. The population is growing at a rate of 75% each month.

D. The population is growing at a rate of 97% each month.

Answer:

A. The population is decaying at a rate of 3% each month.

Step-by-step explanation:

Given

[tex]p(t) = 1.75(0.97)^t[/tex]

Required

True statement about the function

From the options, we can see that we are to answer the question on the basis of decay and growing rates.

An exponential form is:

[tex]y=ab^x[/tex]

Compare to [tex]p(t) = 1.75(0.97)^t[/tex]

[tex]b= 0.97\\[/tex]

If [tex]b > 1[/tex], then [tex]b = 1 + r[/tex] r represents growth rate

else, [tex]b= 1-r[/tex] r represents decay rate

Since b < 0.97:

[tex]0.97= 1-r[/tex]

[tex]r = 1 - 0.97[/tex]

[tex]r = 0.03[/tex]

[tex]r = 3\%[/tex]

[tex]r = 0.03[/tex]

Suppose you are asked to find the missing vertex of a rectangle in a coordinate plane. What information will help you determine the missing coordinate?

Answers

The distance of the other points from each other. Since each pair of sides are the same, you can use them to find the fourth vertex

The information to determine the missing coordinates is given below.

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

Given;

A rectangle is drawn in the coordinate plane.

That means, each vertex has coordinates.

To find the missing vertex of a rectangle in a coordinate plane:

We should have the three known vertices.

Then use the formula,

w = t + v - u for each of the coordinates.

Therefore, the information to determine the missing coordinates is given above.

To learn more about the coordinates;

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Which graph best represents the equation y = -2x + 5?

Answers

Answer:

B) The top right choice.

Step-by-step explanation:

The graph of the equation y = - 2x + 5 is shown in figure.

Option 2 is true.

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation is,

⇒ y = - 2x + 5

Now,

Since, The equation is,

⇒ y = - 2x + 5

By comparing of the slope - intercept form of the equation of line,

y = mx + b we get;

⇒ Slope = - 2

And, The y - intercept = 5

So, The graph of the equation is passes through the point (0, 5) with slope - 2.

Learn more about the equation of line visit:

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what number can go into 42 and 21

Answers

Answer:

7

Step-by-step explanation:

Answer:

1,3,7,21 all of those are factors of 42 and 21.

They all can go

Step-by-step explanation:

Hope this helps

Question 5
6 pts
The lengths of the sides of a triangle are given. Determine if the side lengths create a right
triangle.
a) 3, 8, 10
b) 9, 40, 41
c) 12, 20, 16

Answers

Answer:

C is correct

Step-by-step explanation: c is correct great job

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