What is the common difference and the 5 th term in the arithmetic formula for an=6n+3

Answers

Answer 1

Answer:

is an=6n+3 your question?

Step-by-step explanation:

Answer 2

Answer:

Common Difference (d) =6

5th term = 33

Step-by-step explanation:

[tex]a_n= 6n +3.... (given) \\

Plug\: n = (n +1)\\

a_{(n+1)}= 6(n+1) +3 = 6n + 6 +3 = 6n + 9\\

Common \: Difference \: (d) = a_{(n+1)} - a_n\\

= 6n + 9 - (6n+ 3)\\

= 6n + 9 - 6n - 3\\

= 9-3\\

\red{\boxed{\bold {Common \: Difference \: (d) =6}}} \\

Plug \: n = 5 \: in\: a_n= 6n +3\: we \: find:\\

a_5= 6\times 5+3= 30 + 3 = 33\\

\huge\purple {\boxed {a_5= 33}} \\[/tex]


Related Questions

number 27 please.. i can not figure it out.

Answers

Answer: x=-12

Step-by-step explanation:

To solve for x, you want to use algebraic properties to isolate x.

[tex]\frac{x}{4}=2+\frac{x-3}{3}[/tex]                       [subtract both sides by [tex]\frac{x-3}{3}[/tex]]

[tex]\frac{x}{4}-\frac{x-3}{3}=2[/tex]                       [get common denominator]

[tex]\frac{3x}{12} -\frac{4x-12}{12} =2[/tex]                  [subtract]

[tex]\frac{-x+12}{12} =2[/tex]                          [multiply both sides by 12]

[tex]-x+12=24[/tex]                     [subtract both sides by 12]

[tex]-x=12[/tex]                            [divide both sides by -1]

[tex]x=-12[/tex]

Now, we know that x=-12.

If h(x) = −x − 10, find h(−2). (1 point)


−20

1.6

−1

0

Answers

Answer:

-8

Step-by-step explanation:

substitute X with -2 across the equation

-(-2) - 10

minus times minus gives plus, hence positive 2 minus 10

+2 - 10

= -8

) Make a scatter plot of mice survival rate (response) against aspartame concentration (explanatory) and add the regression line. Described the direction, form, and strength of the relationship. What percent of the variation in mice survival rate can be explained by variations in aspartame concentrations

Answers

Answer & Step-by-step explanation:

Regression studies the relationship between independent / explanatory  (causal) variable, dependent / response (effected) variable. Scatter plot is a diagrammatic representation of regression.

Aspartame Concentration, being a toxic substance, is likely to have negative regression relationship with mice survival rate. It implies that higher concentration leads to lower mice survival, & lower concentration leads to higher mice survival.

The relationship can be strong or weak, depicted by 'r' magnitude, depending upon the intensity of concentration impact on survival. If more percent of the variation in survival rate can be explained by variations in  concentrations, regression coefficient is high. If less percent of the variation in  survival rate can be explained by variations in concentrations, regression coefficient is low

Help pls I will mark you brainliest

Answers

Answer:

no#2

Step-by-step explanation:

perform the indicated operation (-2i+3i)+(-1-4i)

Answers

Answer:

  -1 -3i

Step-by-step explanation:

It is unusual to have two imaginary terms grouped together like this. Taking the question at face value, we treat i as though it were a variable, and collect terms in the usual way.

  (-2i +3i) +(-1 -4i) = i(-2+3-4) -1 = -1 -3i

(URGENT) Country A produces about four times the amount of diamonds in carats produced in country B. If the total produced in both countries is 20,000,000 carats, find the amount produced in each country.

Answers

Answer:

A: 16,000,000 caratsB: 4,000,000 carats

Step-by-step explanation:

If the ratio is ...

  A : B = 4 : 1

Then the ratio to the total is ...

  A : total = 4 : (4+1) = 4 : 5

  B : total = 1 : (4+1) = 1 : 5

Country A produces (4/5)×20 M carats, or 16 million carats.

Country B produces the remainder, 4 million carats.

S=c+g for g (help)!!!!!

Answers

Answer:

g = S - c

Step-by-step explanation:

Isolate the variable, g. Note the equal sign, what you do to one side, you do to the other. Simply subtract c from both sides:

S = g + c

S (-c) = g + c (-c)

S - c = g

g = S - c is your answer.

~

Match each situation to the simulation that represents it.

Answers

Answer: rolling aa six sided die- fiona is deciding which forest

selecting a playing card- Athena has to select 1 student

spinning a spinner - Jenny isa picking a marble

Step-by-step explanation:

Answer:

Fiona- Rolling A Six-Sided Die.

Althea- Selecting A Playing Card From

The Hearts Suit.

Jenny-Spinning A Spinner Divided Into

Five Equal Sections  

Wade Ellis buys a new car for $16,183.11. He puts 10% down and obtains a simple interest amortized loan for the rest at 11 1/2% interest for four years. How do we find his monthly payment and total interest

Answers

Answer:

If a new car was purchased for a cost of $16,183.11, and a down payment of 10% of the value was made, the initial payment was $1,618.31.

Thus, the remaining amount to be financed is $14,564.79. It will be financed in 4 years, at an annual interest rate of 11.5%, for four years. Thus, the total interest will be 46% (11.5 x 4), to be distributed among the 4 years of the financing. Then, the total amount to be paid will be $21,264.59, which will be paid in 48 equal monthly payments of $443.01 (21,264.59 / 48).

Apply the distributive property to create an equivalent expression. 6(5x - 3) =

Answers

Answer:

30x-18

Step-by-step explanation:

(6)(5x+−3)

=(6)(5x)+(6)(−3)

=30x-18

which value is a solution to the inequality 2x-5<-12?

Answers

Answer:

x < -4

Step-by-step explanation:

2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4 and your answer!

Answer: x<7/2

Step-by-step explanation:

Step 1. You are moving the constant, 5, to the right-hand side and changing the sign from a - to a +. Your new inequality is 2x<-12+5.

Step 2. Calculate the sum. You are adding -12 and 5. This is what your new inequality looks like: 2x<-7.

Step 3 (final step). You will now divide both sides by 2, and you will get a final answer of x<-7/2.

Hope this helps!


Describe the error in the work shown below.
Find an expression equivalent to 18 + 30.
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 30: 1,2,3,5, 6, 10, 15, 30
18 + 30 = 6(3 + 10)


Pls help fast

Answers

The answer is 18+30= 6(3+5) when you distribute the given one 18+30= 6(3+10) which was wrong, you get 18+60 so u need to replace the 10 with something that will equal 30 when multiplied; which is 5.

Rewrite the quality 827,000,000,000,000 pico second to show :

1sig. Fig.

2sig. Fig.

3sig. Fig.

4 dig. Fig.

5sig. Fig.

Answers

Answer:

a. 1 sig. fig. _800,000,000,000,000 picoseconds (8 x 10^14 picoseconds)

b. 2 sig. figs. 830,000,000,000,000 picoseconds (8.3 x 10^14 picoseconds)  

c. 3 sig. figs. 827,000,000,000,000 picoseconds (8.27 x 10^14 picoseconds)

d. 4 sig. figs. 827,000,000,000,000 picoseconds  (8.270 x 10^14 picoseconds)

e. 5 sig. figs. 827,000,000,000,000 picoseconds  (8.2700 x 10^14 picoseconds)

Step-by-step explanation:

Ava is 23cm taller then Olivia, and Olivia is half the height of Lucas. If Lucas is 1.78m tall, how tall are Ava and Olivia

Answers

Answer:

Ava = 1.12 m tall

Olivia =  0.89 m tall

Step-by-step explanation:

given;

Ava is 23cm taller then Olivia,

Olivia is half the height of Lucas.

If Lucas is 1.78m tall

find:

how tall are Ava and Olivia

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

Ava = Olivia + 0.23

Olivia = Lucas / 2

Lucas = 1.78

plugin values into the equation above

Olivia = 1.78 / 2 =

Olivia =  0.89 m tall

Ava = 0.89 + 0.23

Ava = 1.12 m tall

A jet plane can travel 567 miles per hour. How many mile can it travel in 4hour During the first trip and 6 Hour during the scon trip

Answers

It will take 8 hours to drive 120 miles at a speed of 15 miles per hour. Hi Mia, If you drive 15 mi per hour, you will be covering 15 miles each other you travel. If you know the total distance traveled, then you can simply divide it by speed to get the time it takes to cover that distance. explanation:

what is this from least to greatest 0.6,√(9/16),2/3

Answers

0.6, 2/3, 9/16 ........

Affirmative action commitments by many organizations have led to an increase in the number of women in executive positions. Satellite Office Systems has vacancies for two executives that it will fill from among four women and six men. What is the probability that at least one woman is selected

Answers

Answer:

2/3

Step-by-step explanation:

We solve with combination formula

C(n, r) = nCr = n!/r!( n - r)!

The selection will happen between four women and six men

Total number of people = Total number of possibly outcomes = Four women + six men

= 10 people

This can happen in two ways

a) 2 women

b) 1 man and 1 woman

The probability that at least one woman is selected =

4C2 ×(6C1 + 4C1)÷ 2 ways / 10C2

[6 × (6+ 4)] ÷ 2 / 45

= (6 × 10) ÷ 2/45

= 30/45

= 2/3

You get a job with a construction company. They pay you $18.25 per hour. If
you work 36 hours in a week, what is your straight-time pay?

A. $635
B. $657
C. $659
D. $661
E. $664
F. $669

Answers

Answer:

answer is B $657

Step-by-step explanation:

I guess I was help full for u

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SIMPLIFY THE EXPRESSION THEN MATCH TO ANSWER (USE ORDER OF OPERATIONS) PLS HELP I DONT UNDERSTAND TY I APPRECIATE IT

Answers

plz I need a link to solve that

ASAP FASTER THAN THAT ITS DUE IN LIKE 30 OR LESS MINuTES
Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of Rectangle A.

Select ALL of the measurement pairs that could be the dimensions of Rectangle B.

A. 4.5 inches by 1.5 inches
Could or could not(thats the question for all of them)
B. 8 inches by 2 inches
could or could not
C. 10 inches by 4 inches
could or could not

D. 13.5 inches by 4.5 inches
could or could not
E. 90 inches by 30 inches
could or could not

Answers

Answer:

a,d,e could

Step-by-step explanation:

a-is 1/2 of rec a so yes

b-no

c-no

d-could it 1.5 of rec a

e-could it 10 times rec a

4.88 + 1.6*
What is the answer

Answers

Answer:

6.48 is the answer.

Beyoncé drove 6 miles in 18 minutes and Kelly drove 4 miles in 16 minutes. Who
traveled at a greater average speed? Define an appropriate unit of speed and provide
mathematical justification for your answer.

Answers

Beyoncé 18 min = 18/60=  = .3 per hour

Kelly = 16 min. 16/60 = 2.6 per hour

So your answer is Beyoncé

In the figure shown, suppose m angle ABC=n and m angle ABD=2(m angle DBC). The angle bisector of angle DBC is BE. What is m angle EBC

Answers

Answer:

n/6

Step-by-step explanation:

If angle bisector of angle DBC is BE. What is m angle EBC, then <DBE = <EBC

Since <ABC = <ABD+<DBC

n = 2<DBC+<DBC

n = 3<DBC

<DBC = n/3

Since <DBC = 2EBC

n/3 = 2<EBC

n/6 = <EBC

Hence <EBC = n/6

Somebody please help me make some sense out of this:

“One morning a certain number of passengers got on an elevator at the main floor of an office building. Four got off at the second floor, of the remainder at the third floor, 75% of the remainder at the fourth floor and 3 at the 5th floor. If the elevator was empty at this point, how many got on the elevator at the main floor?”

Answers

I had everything possible to get to know you with 75%

What’s is ittttt I neeed helppp

Answers

Answer:

n = 14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

n = 14

Answer:

n=14

Step-by-step explanation:

n+4/-2 = -9

n+4 = 18

Hope it helps :3

3. A company makes a profit of $60 per software program and $45 per video game. The company can produce at most 300 software programs and at most 200 video games per week. Total production cannot exceed 400 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work. Answer:

Answers

Answer:

Step-by-step explanation:

This problem is a maximization problem

the objective is to maximize profit

let software program be x

and video program be y

the objective function is

60x+45y>P-------1

constrains

300x+200y<400------2

we can further reduce the expressions

3x+2y<4-----2

4= 6/a x +5
solve for x

Answers

A=30 since you are multiplying 6 & 5

PLS HELP I DONT UNDERSTAND :( WILL MARK BRAINLIEST!!! :)

Answers

Answer:

3/50

Step-by-step explanation:

rise over run

3/50

Answer:

A. 3/50

Step-by-step explanation:

subtract the y values in the form where the first point is subracted from the second point: 460-310=150

subtract the x values in the form where the first point is subracted from the second point: 3500-1000= 2500

then put these numbers in fraction form: 150/2500

simplify: 3/50

Which choice correctly expresses the number below in scientific notation?

Answers

Answer:

B. 4.62 x 10^5 is scientific notation of 462000

6th grade math please help thx!!​

Answers

The answer is 26 so that means the quotient is 26.
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