Consider a sequence given by the formula f(n)=3n-1 starting with n=1. Generate the first 5 terms of the sequence

Answer:

[tex]\huge\boxed{k=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x+1\\\\g(x)=3x+k\\\\(f\circ g)(x)=f\bigg(g(x)\bigg)=4(3x+k)+1=(4)(3x)+(4)(k)+1=12x+4k+1\\\\(g\circ f)(x)=g\bigg(f(x)\bigg)=3(4x+1)+k=(3)(4x)+(3)(1)+k=12x+3+k\\\\(f\circ g)(x)=(g\circ f)(x)\iff12x+4k+1=12x+3+k\qquad|\text{cancel}\ 12x\\\\4k+1=3+k\qquad|\text{subtract 1 from both sides}\\\\4k=2+k\qquad|\text{subtract}\ k\ \text{from both sides}\\\\3k=2\qquad|\text{divide both sides by 3}\\\\k=\dfrac{2}{3}[/tex]

Answer:

AC

Step-by-step explanation:

x y=a

z+x=c

hope this help

Answer:

20-5 11/12= 9 11/12

Step-by-step explanation:

we do (3 2/3 + 2 1/4+ 2 1/3 )which is

           3 8/12.    2 3/12    2 4/12 (common denominator)

then add 3 8/12 and 2 3/12 and 2 1/3 to get 10 1/12 then we get 20- 10 1/12 to get a final answer of 9 11/12

Answer:

= 43.16

Step-by-step explanation:

1. 83 x 52

2. = 4,316

3. There are 2 numbers after the decimal

4.  you add the decimal the number of times the decimal is away from the number before

Answer:

43.16

Step-by-step explanation:

Look at the attached image. We multiply 83 and 52. Once we get our answer, we move our decimal point two places to the left (since .83 has its decimal moved two places to the left).

Answer:

219

Step-by-step explanation:

Answer:

508,364

Step-by-step explanation:

just add them together :)

Answer:

-3/4 x 1

Step-by-step explanation:

anything times 1 is itself

Answer:

3rd

Step-by-step explanation:

Answer:

15/100 * 450 = 67.5 (discount)

450 - 67.5 = 382.5 (sale price)

7/100 * 382.5 = 26.775 (7% tax)

26.775 + 382.5 = 409.275 (final price)

Step-by-step explanation:

Answer:

3(3+5)

Step-by-step explanation:

first, you have to find the greatest common factor of 9 and 15, which is 3.

then, you have to do:

9/3 = 3

15/3 = 5

so if you factor out the 3, you get 3(3 + 5)

Answer:

x ^2+x-3

Step-by-step explanation:

Answer:

-5 that oneeksssoossdos

Answer:

y(y+2x²

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

x (5y²-6x

Step-by-step explanation:

The expression obtained after simplification is written below.

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The expression is

[tex]\rm \dfrac{ \dfrac{1}{x^2} + \dfrac{2}{y}}{\dfrac{5}{x} - \dfrac{6}{y^2}}[/tex]

On simplifying by taking LCM

[tex]\rm = \dfrac{ \dfrac{ y +2x^2} {x^2y}}{\dfrac{5y^2 - yx}{xy^2}}[/tex]

[tex]\rm = \dfrac{ y ( y +2x^2)}{x ( 5y^2 - yx)}[/tex]

To know more about Expression

https://brainly.com/question/14083225

#SPJ5

Answer:

11

Step-by-step explanation:

i am assuming that its a typo and you meant 36

Answer:

Originally, you put 36..but 2nd you put 26... so ill answer both :) for a total of 36 Devery needs to read 11 more pages and for a total of 26, Devery needs to read one page

Step-by-step explanation:

10+15=25   36-25=11

10+15=25   26-25=1

My apologise for not understanding the question fully, English isnt my first language :)

Answer:

p=1

Step-by-step explanation:

Rearrange terms

Combine multiplied terms into a single fraction

Subtract  2/5 from both sides of the equation

Simplify

Multiply all terms by the same value to eliminate fraction denominators

sorry if its wrong

Answer:

10.44

Step-by-step explanation:

To find 58% of 18, multiply 18 by 0.58

18(0.58)

= 10.44

So, 10.44 is 58% of 18

Answer:

Yes! The given quadrilateral represents Parallelogram.

Reason:  The given quadrilateral has opposite angles congruent.

Step-by-step explanation:

Given the quadrilateral with the angles

We know that the sum of the angles of a quadrilateral is 360.

so

118°+62°+118°+62° = 360°

Thus, the given figure is indeed a quadrilateral.

Now in order to determine whether the given quadrilateral is a parallelogram or not, we need to check whether the opposite angles are congruent or not.

If the angles opposite of each other will have the same measurement, then the quadrilateral will represent Parallelogram.

It is clear that the given quadrilateral has two pairs of equal opposite angles.

i.e. The angle 118° has the same opposite angle 118° and the angle 62° has the same opposite angle 62°.

Therefore, the given quadrilateral represents Parallelogram.

Hence,

Yes! the given quadrilateral represents Parallelogram.

Reason: The given quadrilateral has opposite angles congruent.

Answer:

The total cost in dollars, y = $7n.

Step-by-step explanation:

a) Data and Calculations:

Price of hot dogs = $2,75 each

Price of drinks = $1.50 each

Cost of hot dogs bought by one person = 2*2.75 = 5.5

Cost of drinks bought by one person = 1.50

Number of people in a group = n

y = total cost in dollars

y= n($5.5 + 1.50)

y = n * $7

y = $7n

b) Each person's purchase of hot dogs will cost $5.5 (2*2.75).  When the cost of hot dogs per person is added to the cost of drinks per person, we have $7 ($5.50 + 1.50).  This implies each person will consume hot dogs and drinks worth $7.  The total cost will then be $7 multiplied by n, the number of people ($7n).  

Answer:

B: 10n⁵ + 11n³ - 6

Step-by-step explanation:

(-3 + 3n⁵ + 6n³) + (7n⁵ + 5n³ - 3)

To add the variables, you can only combine the variables with the same degree.

Because you are adding the polynomials, you can remove the parentheses.

-3 + 3n⁵ + 6n³ + 7n⁵ + 5n³ - 3

Now you can combine the variables that are raised to the same degree.

(-3 - 3) + (3n⁵ + 7n⁵) + (6n³ + 5n³)

Now simplify within the parentheses.

(-6) + (10n⁵) + (11n³)

Now reorder the variables from greatest to least degree.

10n⁵ + 11n³ - 6

Answer:

9x-3

Step-by-step explanation:

3(2x-1)+3x

The first thing you would want to do is to distribute 3(2x-1) or in other words to get rid of the parenthesis.

3(2x-1) = 6x-3

The expression so far is : 6x-3+3x

Now you would add like terms which are the 6x and 3x = 9x

Expression now: 9x-3

The final answer is 9x-3.

If you are wondering why this is the answer because you can’t solve an (x) from a number because they are not like terms.

Hope this helps!

Answer:

It's D or A

Step-by-step explanation:

Answer:

The probability none mechanical engineering majors is 0.03967.

Step-by-step explanation:

Given that,

Total students = 125

Number of students in computer science = 28

Number of students in mechanical engineering = 52

Number of students in civil engineering= 12

Suppose six students from the class are chosen at random what is the probability none are mechanical engineering majors?

We need to calculate the probability none are mechanical engineering majors

Using given data

None mechanical engineering majors = [tex]\dfrac{125-52}{125}=0.584[/tex]

If six students from the class are chosen at random then

The probability none are mechanical engineering majors will be

[tex]P_{nme}=(0.584)^6[/tex]

[tex]P_{nme}=0.03967[/tex]

Hence, The probability none mechanical engineering majors is 0.03967.

9514 1404 393

Answer:

  27/32

Step-by-step explanation:

2x³ for x = 3/4 is ...

  2(3/4)³ = 2·3³/4³ = 2·27/64 = 27/32

Answer:

18 square units :)

Answer:

18

ummmmmm so yea

Answer:

True

Step-by-step explanation:

Lines with the same slope and different y-intercepts are considered parallel. As they extend forever, the lines will never intersect.

Answer:

number 2

Step-by-step explanation:

A cougar did not attack to the victim.ibthinj this is answer

Answer:

1) [tex]n = 84[/tex]

2) [tex]n = 78[/tex]

3) [tex]n = 24[/tex]

4) [tex]n = 16[/tex]

5) [tex]n = 35[/tex]

Step-by-step explanation:

To solve each proportion, we apply cross multiplication.

Question 1:

[tex]\frac{5}{12} = \frac{35}{n}[/tex]

[tex]5n = 35*12[/tex]

Simplifying both sides by 5

[tex]n = 7*12 = 84[/tex]

Question 2:

[tex]\frac{n}{52} = \frac{180}{120}[/tex]

[tex]120n = 52*180[/tex]

Simplifying both sides by 20

[tex]6n = 52*9[/tex]

Simplifying by 3

[tex]2n = 52*3[/tex]

Simplifying by 2

[tex]n = 26*3 = 78[/tex]

Question 3:

[tex]\frac{18}{n} = \frac{21}{28}[/tex]

[tex]21n = 18*28[/tex]

Simplifying both sides by 7

[tex]3n = 18*4[/tex]

Simplifying both sides by 3

[tex]n = 6*4 = 24[/tex]

Question 4:

[tex]\frac{n}{4} = \frac{24}{6}[/tex]

[tex]\frac{n}{4} = 4[/tex]

[tex]n = 16[/tex]

Question 5:

[tex]\frac{10}{16} = \frac{n}{56}[/tex]

[tex]16n = 56*10[/tex]

Simplifying by 2, both sides

[tex]8n = 56*5[/tex]

Simplifying by 8, both sides

[tex]n = 7*5 = 35[/tex]

The given expressions can be evaluated by using the arithmetic operations in order to find the value of 'n' in each case.

1) 5/12 = 35/n

Cross multiply in the above expression.

5n = 35 [tex]\times[/tex] 12

Further, simplify the above expression.

n = 84

2) n/52 = 180/120

Cross multiply in the above expression.

180n = 120 [tex]\times[/tex] 52

180n = 6240

Divide 180 by 6240 in the above expression.

n = 34.67

3) 18/n = 21/28

Cross multiply in the above expression.

18 [tex]\times[/tex] 28 = 21n

504 = 21n

Divide 504 by 21 in the above expression.

n = 24

4) n/4 = 24/6

Cross multiply in the above expression.

6n = 24 [tex]\times[/tex] 4

6n = 96

Divide 96 by 6 in the above expression.

n = 16

5) 10/16 = n/56

Cross multiply in the above expression.

10 [tex]\times[/tex] 56 = 16n

560 = 16n

Divide 560 by 16 in the above expression.

n = 35

For more information, refer to the link given below:

https://brainly.com/question/13101306