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Answer:

is an=6n+3 your question?

Step-by-step explanation:

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]

Answer:

4.2 rightttttrttr or no

Answer:

The answer is line EF, C is the correct answer!

Step-by-step explanation:

Just took the assignment. Maybe this will help you with your other problems with slopes and angles. If you have any more questions for me, I'll answer them! :D

The perpendicular line is line EF.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

Slope = m = tan θ

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

Given:

slope = -1/3

then, the perpendicular line will have the slope = 3

Now, from the figure the line line represent the slope 3 is line EF

As, (0, -3) and (2, 3)

slope = 3+3 / 2-0

slope= 6/2

slope= 3

Hence, the perpendicular line is line EF.

Learn more about slope here:

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Yes.

8/7 (1 1/7) is rational.

Answer:

x(t) = 581.66 lb

Step-by-step explanation:

From the given information:

Consider the salt quantity in the tank at time t be x(t) lb.

∴ the rate of change of salt content in the tank is [tex]\dfrac{dx}{dt}= Rate \ of \ \ inflow - rate \ of \ \ outflow[/tex]

where:

the rate of inflow = salt conc. × flow rate = 3 lb/gallon × 7 gallons

=21 lb/s

rate of outflow = salt conc. in the tank  × flow rate

= x/250 ×  9

= 9x/250  lb/s

∴

[tex]\dfrac{dx}{dt} = 21 - \dfrac{9x}{250}[/tex]

[tex]\dfrac{dx}{dt} + \dfrac{9x}{250}= 21[/tex]

This is a 1st order linear differentiation,

The integrating factor if [tex]e^{^{ \int \dfrac{9}{250}\ dt}} = e^{^{ \dfrac{9t}{250} }}[/tex]

∴

[tex]e^{^{ \dfrac{9t }{250}}} \ \ x(t) = \int 21 e^{\dfrac{9t}{250}} \ dt + C[/tex]

[tex]e^{^{ \dfrac{9t }{250}}} \ \ x(t) = 21 \times \dfrac{250}{9}e^{\dfrac{9t}{250}} + C[/tex]

[tex]x(t) = \dfrac{1750}{3}+Ce^{^{\dfrac{-9t}{250}}}[/tex]     at  t = (0) and x(0) = 100 lb

Hence;

[tex]100 = \dfrac{1750}{3}+C[/tex]

[tex]C = \dfrac{1750}{3} -100[/tex]

[tex]C = - \dfrac{1450}{3}[/tex]

∴[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9t}{250}}}[/tex]

after time t = 1 minute i.e 60 s

[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9 \times 60}{250}}}[/tex]

[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-540}{250}}}[/tex]

x(t) = 581.66 lb

Answer:

8-p=-12-3p

8+12-p = -3p

20 = -3p + p

20 = -2p

20/-2 = p

-10 = p

ans. p = -10

...

Answer:

Step-by-step explanation:

Maybe you want to simplify each of these expressions.

  2a -1/2a = (2 -1/2)a = (3/2)a

__

  3a -1/3a = (3 -1/3)a = (8/3)a

Answer:

Step-by-step explanation:

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (10, 0) = (x_1, y_1) [/tex]

[tex] (16, 8) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(16 - 10)^2 + (8 - 0)^2} [/tex]

[tex] d = \sqrt{(6)^2 + (8)^2} [/tex]

[tex] d = \sqrt{36 + 64} = \sqrt{100} [/tex]

[tex] d = 10 [/tex]

Length of fencing = 6 + 8 + 10 = 24 m

Company A's revenue was $239 million whereas Company B's was $467 million as a result revenue for Company A was equal to 52% of that for Company B. ​

It shows the proportion between two integers when stated as a decimal fraction of 100 parts. It is a statistic used to compare two sets of data, and the sign % is used to represent it as a percentage.

It is given that, the revenue for Company A was ​$239 ​million, compared to ​$467 million for Company B.

We have to find the % by which A was revenue for Company B.

Suppose  x% by which A was revenue for Company B.

⇒$467 of x =$239

⇒467×x​=239

⇒x=239/467

⇒x=0.5177 ≈ 0.52

⇒x%=52%

Thus, the revenue for Company A was equal to 52% of that for Company B. ​

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Answer: 8.9

Step-by-step explanation:

Let x = the number you are finding

SOLVE:

3.9+6x=57.3 ⇔ Given

6x=53.4 ⇔ subtract 3.9 on both sides

x=8.9 ⇔ Divide 6 on both sides

ANSWER:

The number is 8.9

I hope it will help you :)

Answer:

Step-by-step explanation:

f(x) = 2x - 1

To find f(10) substitute the value of x that's 10 into f(x). That is for every x in f (x) replace it with 10

We have

f(10) = 2(10) - 1

= 20 - 1

We have the final answer as

Hope this helps you

Answer: 7.808.

Take the 2 values and multiply them together using the digits

Answer:

5 ounces

Step-by-step explanation:

Let the capacity of jug be j, bottle be b

[tex]2j + 4b = 40 \\ j + 3b = 25 \\ j = 25 - 3b \\ \\ therefore \: 50 - 6b + 4b = 40 \\ 2b = 10 \\ b = 5[/tex]

Answer:

8.71428571

do 61 divided by 7. Simple math.

Answer:

8.714

Step-by-step explanation:

Divide 61 centimeters by the 7 people getting the liquorice to get 8.7142857143.

From here you can round.

I rounded to the thousandths place but you can also round it up to 8.71 or 8.7 or any other digit if it suits your answer.

Hope this helps!

J = 0 because it is the midpoint of K and P.

Since we know that K is at -5 and P is at 5, KP = 10

Both KP and JQ are equal to 10, therefore, they are equal.

Answer:

14. j=0

15. KP=10

16. yes

Step-by-step explanation:

(The two letters next to each other means that the question is asking for the distance between the points. For example, KP is the distance from K to P, or P to K.)

14.:

If P is the midpoint of J and Q, that means that there is an equal distance between Q and P and J and Q. So, you can see this because

Q-P=5 and 5*2= J

So the distance from J to Q is 10, but to find what J is, subtract the distance from Q, leaving you with 0. So, J=0.

15.:

Since each line represents 5 and the distance from -5 to 5 is 10, KP = 10.

16.:

Since KP = 10 and JQ = 10, then yes, they are the same.

Answer:

-2

Step-by-step explanation:

because it is tilted so z+4 +2 so -2+4=2

Answer:

5.1

Step-by-step explanation:

we have

5.1436

since 4 is less than five we cannot pass the 1 to 2

so it stays like

5.1

Answer:

RS = 2.4 cm

Step-by-step explanation:

RS + ST = RT

RS + 1.6 = 4

Subtract 1.6 from both sides.

RS = 4 - 1.6

RS = 2.4 cm

Answer:

d. 674,800

Step-by-step explanation:

1 dekagram is equal to 1,000 centigrams so I multiplied 674.8 by 1000

Hope this helps, have a great day:)

Answer:

The answer is 674800 centigrams

Step-by-step explanation:

How many dekagram in 1 centigram? The answer is 0.001.

I assume you are converting between dekagram and centigram.

You can view more details on each measurement unit:

dekagram or centigram

The SI base unit for mass is the kilogram.

1 kilogram is equal to 100 dekagram, or 100000 centigram.

Note that rounding errors may occur, so always check the results.

Use this page to learn how to convert between dekagrams and centigrams.

Type in your own numbers in the form to convert the units! Hope this helps!

Answer:

20s³ + 50s² + 32s + 6

Step-by-step explanation:

( 4s + 2 ) ( 5s² + 10s + 3)

use the distribution property:

20s³ + 40s² + 12s + 10s² + 20s + 6

combine like terms:

20s³ + 50s² + 32s + 6

therefore

the expand value = 20s³ + 50s² + 32s + 6

Answer: YES

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is in integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

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

-5 3/8

It is a fraction, which fits the second point.

Hope this helps!! :)

Answer:

10(x + 3) - (-9x - 4) = x - 5+ 3

10x+30+9x+4=x-2

19x+34=x-2

19x-x= -2-34

18x=-36

x= -2

Answer:

He has 13 red marbles

Step-by-step explanation:

add 19 and 23

19+23=42

Subtract 42 from 55

55-42=13

Hey there!

Alex has 55 marbles. He has 19 green marbles and 23 blue how many red marbles does he have ?

Let's add the green marbles and blue marbles together.

[tex]19+23=42[/tex]

So now let's subtract 42 from 55.

[tex]55-42=13\\13(ANSWER)[/tex]

So now there is 13 left. That is your answer.

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

16

Step-by-step explanation:

The mean of a group of values is calculated as

mean = [tex]\frac{sum}{count}[/tex]

Given 5 numbers with a mean of 12, then

[tex]\frac{sum}{5}[/tex] = 12 ( multiply both sides by 5 )

sum = 60

let the number removed be x , then

[tex]\frac{60-x}{4}[/tex] = 11 ( multiply both sides by 4 )

60 - x = 44 ( subtract 60 from both sides )

- x = - 16 ( multiply both sides by - 1 )

x = 16

The number removed was 16

To find explicit formulas, you need two things. The common difference and the first term.

For example, #18

The first term = -15

The common difference = -20 -(-15) = -20 + 15 = -5

y = A + B(n - 1)

A = our first term

B = our common difference

n = the term you want to find in the sequence.

Leta plug our numbers in from #18

y = -15 + -5(n - 1)

Let's find the 4th term in the sequence.

y = -15 + -5(4 - 1)

y = -15 + -5(3)

y = -15 + -15

y = -30

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]7.5d = 2.5d[/tex]

Analyzing Lin's

[tex]\frac{7.5d}{2.5d} = \frac{2.5d}{2.5d}[/tex]

[tex]3 = 1[/tex]

This isn't a solution because [tex]3 \neq 1[/tex]

Analyzing Elena's

[tex]7.5d - 2.5d= 2.5d-2.5d[/tex]

[tex]5d = 0[/tex]

Divide through by 5

[tex]d = 0[/tex]

Hence;

Going by the analysis above; only Elena's  move will lead to a solution