(6.2n - 8.3) + (-9.1 + 1.4n) simplify the expression​

Step-by-step explanation:

A.let n be 1

a1=2(1)+3

T1=5

let n be 2

2(2)+3

T2=7

T3=2(3)+3

=9

T4=2(4)+3

=11

A. For the sequence given by the nth term formula an = 2n + 3, the first four terms are:

a1 = 2(1) + 3 = 5

a2 = 2(2) + 3 = 7

a3 = 2(3) + 3 = 9

a4 = 2(4) + 3 = 11

For the sequence given by the nth term formula an = n² - 1, the first four terms are:

a1 = 1² - 1 = 0

a2 = 2² - 1 = 3

a3 = 3² - 1 = 8

a4 = 4² - 1 = 15

B. The missing terms for the sequence 57, 47, 37, 27,  17 are:

57, 47, 37, 27, 17

The missing terms for the sequence -12,-6, , 0, 12, 24, 36 are:

-12, -6, 0, 12, 24, 36

The missing terms for the sequence -4, 8,20, , 16, -20 are:

-4, 8, 20, 16, -20

C. The general rule or nth term for the sequence 7, 12, 17, 22,... is:

an = 5n + 2

The general rule or nth term for the sequence 2, 6, 12, 20,... is:

an = n² + 1

D. The sequence 4, 8, 12, 16,.. is an arithmetic sequence with a common difference of 4.

The sequence 13, 10, 7, 4,... is an arithmetic sequence with a common difference of -3.

The sequence -10, -8, -6, -4,.. is an arithmetic sequence with a common difference of 2.

The sequence 1, 6, 8, 11, 12,.. is not an arithmetic sequence as there is no common difference between consecutive terms.

The sequence 5, 6, 12, 13,... is not an arithmetic sequence as there is no common difference between consecutive terms.

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Answer:

Kelvin Doe is from a small village in the Republic of Sierra Leone in West Africa. Your welcome :)

Answer: Kelvin Doe changed the lives of the people in his community by his innovative thinking.

Step-by-step explanation: i got it right

Answer:

-4C

Step-by-step explanation:

-1 (-4) = -5

It will cost $412.50 for equipment for all stations.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Dan orders supplies for the science lab. Each of the 30 stations in the chemistry lab needs 5 feet of rubber tubing. If rubber tubing sells for $8.25 per yard.

The cost will be calculated as below,

3 feet = 1 yard

5 x 30 = 150 feet

8.25 per yard = cost

150/ 3 = 50 yards (total tubing needed)

50 x 8.25 = $ 412.50

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Answer:

m = 0

Step-by-step explanation:

To find the slope, use the formula:

m = y2 - y1 / x2 - x1

Then substitute the numbers:

m = 5 - 5 / 6 - 3

m = 0 / 3

m = 0

Therefore, the slope of the line is 0.

Answer:

I do not see the picture of the alligator

Step-by-step explanation:

so therefore i do not the lenght of the alligator

Answer:

add 4

Step-by-step explanation:

Answer:

There is no graph attached.

Step-by-step explanation:

Check the question again.

Answer:

no

Step-by-step explanation:

Answer:

The number of decimal places in 0.47 is

✔ 2

.

The number of decimal places in 3.2 is

✔ 1

.

The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have

✔ 3

decimal places.

Step-by-step explanation:

I did this on edge 2020

Answer:

150

Step-by-step explanation:

3 + 7 + 10 + 30 +100

Answer: the answer is $150.00 or $7.00

Step-by-step explanation:

$150.00 if you want to know how much you had in all

but if your talking about how much you had before it would be $7.00

Answer:

The solution is [tex]\displaystyle x=1\pm \sqrt{47}[/tex]. Fourth option

Explanation:

Solve for x:

[tex]2x^2+3x-7=x^2+5x+39[/tex]

Move all the terms from the right to the left side of the equation, a zero in the right side:

[tex]2x^2+3x-7-x^2-5x-39=0[/tex]

Join all like terms:

[tex]x^2-2x-46=0[/tex]

The general form of the quadratic equation is:

[tex]ax^2+bx+c=0[/tex]

Solve the quadratic equation by using the formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

[tex]\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}[/tex]

[tex]\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}[/tex]

[tex]\displaystyle x=\frac{2\pm \sqrt{188}}{2}[/tex]

Since 188=4*47

[tex]\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}[/tex]

Take the square root of 4:

[tex]\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}[/tex]

Divide by 2:

[tex]\displaystyle x=1\pm \sqrt{47}[/tex]

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

Answer:

[tex] \frac{3}{5} = \frac{x}{40} \\ x = \frac{3 \times 40}{5} = \frac{120}{5} = 24[/tex]

Answer:

24

Step-by-step explanation:

3/5 multiplied by 40 = 24

Answer:

  KE = 100 J

Step-by-step explanation:

The question is asking you to use the formula with the values ...

  m = 8 kg . . . . . this 'm' stands for mass

  v = 5 m/s . . . .  this 'm' stands for meters

Putting these values into the formula, we have ...

  KE = 1/2(8 kg)(5 m/s)² = 100 kg·m²/s²

The units are equivalent to the derived SI unit "joules", abbreviated J.

The kinetic energy of the 8 kg mass is 100 J.

Answer:

x > -2

Step-by-step explanation:

An open circle (unshaded) which starts at -2 and drawn to the right means that the possible values of x do not include -2. Possible values of x are greater than -2, upwards.

Therefore, the inequality to use in representing the information displayed by the graph is x > -2.

This means possible values of x are greater than -2.

Answer:

b=24

Step-by-step explanation:

a²+b²=c²

18²=324

30²=900

900-324=576

√574=24

24²=576

576+324=900

Answer: the answer is 18 if im correct

Answer:

y = x - 3

if you plug in the numbers from the table, it checks out.

y = x - 3

0 = 3 - 3

0 = 0

y = x - 3

1 = 4 - 3

1 = 1

y = x - 3

2 = 5 - 3

2 = 2

and so on

Answer:

$50.00

Step-by-step explanation:

BECAUSE U ADD 20+15+15!!!  

:)

Answer:

Step-by-step explanation:

When Maurice works 15hrs, he makes $150.

So first you have to find out how much money he makes each hour.

To do this you do :

Money earnt divided by hour many hours he worked.

Money made per hour = [tex]\frac{150}{15}[/tex]  = $10

So since Maurice makes $10 every hour,

If her works 25 hours, it will be $10 x 25 = ?

Answer:

1/3000 or 0.000333....

Step-by-step explanation:

I think you mean 20mm / 60 m

1 mm = 0.001m

So the division becomes:

(0.001* 20) / 60

= 0.02 / 60

= 0.00033.....

or as a fraction it is

2/6000

=  1/3000.

9514 1404 393

Answer:

  86 m^2

Step-by-step explanation:

The figure is equivalent to a rectangle that is 8 m by 12 m, with a triangle cut off. The width of the triangle is (12 m-8 m) = 4 m. The height of the triangle is (8 m-3 m) = 5 m.

Then the figure's area is ...

  A = LW - (1/2)bh

  A = (12 m)(8 m) -(1/2)(4 m)(5 m) = 96 m^2 -10 m^2

  A = 86 m^2

The area of the figure is 86 square meters.

Answer:

y= 2x + 11

Step-by-step explanation: Hopefully that helps ;)

Answer:

He is wrong.

Step-by-step explanation:

[tex]3(x+3)-9\\\\3x+9-9\\\\\boxed{3x}[/tex]

Hope this helps

Complete Question

The complete question is shown on the first uploaded image  

Answer:

a

[tex]P(X < 65) =  0.003467[/tex]

b

[tex]P(86 <  X <  110 )= 0.63928 [/tex]

c

[tex]P(X > 120 ) =0.062024[/tex]

Step-by-step explanation:

From the question we are told that

 The  mean is  [tex]\mu  =  \$ 100[/tex]

 The  standard deviation is  [tex]\sigma  =  \$ 13[/tex]

 Generally the probability that the  monthly utility bills is less than  $65  is  mathematically represented as

     [tex]P(X < 65) =  P(\frac{X  -  \mu }{\sigma }  < \frac{65  -  100 }{13 }   )[/tex]

Generally

  [tex]\frac{X  -  \mu }{\sigma } =  Z (The\ standardized \ value \ of\  X )[/tex]

So

 [tex]P(X < 65) =  P(Z < -2.70  )[/tex]

From the z-table

    [tex]P(Z < -2.70  ) =  0.003467[/tex]

So  

   [tex]P(X < 65) =  0.003467[/tex]

Generally the  probability that a randomly selected utility bill is between $86​ and $​110 is mathematically represented as

 [tex]P(86 <  X<  110 )=  P( \frac{86 -100}{ 13} <  \frac{X - \mu}{\sigma } < \frac{86 -100}{ 13}    )[/tex]

=>  [tex]P(86 <  X <  110 )=  P( \frac{86 -100}{ 13} < Z < \frac{110 -100}{ 13} )[/tex]      

=>    [tex]P(86 <  X <  110 )=  P(-1.08 < Z < 0.77 )[/tex]      

=>    [tex]P(86 <  X <  110 )= P(Z < 0.77 ) -  P(Z < -1.08 ) [/tex]    

From the z-table

    [tex]P(Z < 0.77 ) = 0.77935[/tex]

and  

   [tex]P(Z < -1.08 ) =  0.14007[/tex]

So

     [tex]P(86 <  X <  110 )= 0.77935  -  0.14007 [/tex]    

=>   [tex]P(86 <  X <  110 )= 0.63928 [/tex]    

 Generally the probability that the  monthly utility bills is  more than $120  is mathematically represented as

         [tex]P(X >120 ) =  P(\frac{X  -  \mu }{\sigma }  > \frac{120  -  100 }{13 })[/tex]

=>   [tex]P(X > 120 ) =  P(Z > 1.538   )[/tex]

From the z-table

    [tex]P(Z > 1.54  ) =  0.062024[/tex]

So  

   [tex]P(X > 120 ) =0.062024[/tex]

Answer:

1 pound (mass) per day (lb/d) of mass flow=112.00 ounces (mass) per week (oz/wk) in mass flow

Step-by-step explanation:

Answer:

It is A. 37

Step-by-step explanation:

Answer:

$2

Step-by-step explanation:

20×0.10=2