the term to term rule of a sequence is divide by 2

Answer:

Solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3

Option B is correct.

Step-by-step explanation:

We need to solve [tex](4g^2-9) \div (2g-3)[/tex]

We know that [tex]a^2-b^2=(a-b)(a+b)[/tex]

So, [tex]4g^2-9[/tex] can be written as [tex](2g)^2-(3)^2[/tex]

So, using above formula we will get:

[tex]4g^2-9\\=(2g^2)-(3)^2 \\Using \ formula a^2-b^2 = (a-b)(a+b)\\=(2g-3)(2g+3)[/tex]

So, numerator will become

[tex]\frac{(2g-3)(2g+3)}{(2g-3)} \\Simplifying:\\=2g+3[/tex]

So, solving [tex](4g^2-9) \div (2g-3)[/tex] we get 2g+3

Option B is correct.

Answer:

18 legs

Step-by-step explanation:

2 legs 9 chickens.

2*9 which is 18.

Hope this helps ;D

Answer:

16%

Step-by-step explanation:

say the percent decrease = x. Then

x/100 x 250 = 210.

x/2 x 5 = 210

x/2 = 210/5

x/2 = 42

x = 42 x 2

x = 84.....

BUT this is not the answer. We need 100-84=16 for the answer.

So the bike dropped 16%. Thank me later :)

If Curtis bought a new mountain bike for $250. In a store advertisement, the mountain bike is on sale for $210. Then 16%  of the decrease in the value of the mountain bike

percentage, a relative value indicating hundredth parts of any quantity

Given,

Curtis bought a new mountain bike for $250.

the mountain bike is on sale for $210.

We need to find the percent of the decrease in the value of the mountain bike.

Let the  percent decrease be x.

x/100 x 250 = 210.

5x/2= 210

Divide both sides by five

x/2 = 210/5

x by two equal to two ten by 5, we get x by two equal to forty two

x/2 = 42

Apply cross multiplication

x = 42 x 2

x = 84.

We need 100-84=16.

Hence 16  percent of the decrease in the value of the mountain bike

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Answer:

1/5 and -k/5+2

Step-by-step explanation:

inverse of 5= 1/5

swap the variables: y=10−5k becomes k=10−5y

Now, solve the equation k=10−5y

for y

y=−k/5+2

Answer:

3

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

1. Find the slope of the given line

The formula for finding the slope is:

[tex]\frac{y_{2}-y_{1} }{x_{2} - x_{1}}[/tex]

Substitute in the values;

[tex]x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8[/tex]

[tex]\frac{8-5}{3-2}[/tex]

simplify;

[tex]\frac{3}{1}[/tex]

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

Step-by-step explanation:

When it says you need to prove something

you need to place a statement about what you need to prove

and then a reason for why.

In this case

You need to prove that

Side AB is congruent (identical in form) to Side ED

Answer:

y = 2x - 13

Step-by-step explanation:

Equation of a line is y = mx + c, m is the gradient and c is the intercept

The line passes through points 4 and -5, x is 4 and y is -5

-5 = 4m + c

When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1

x + 2y = 5

2y = -x + 5

y = (-1/2 * x) + 5

therefore m = -1/2

m1 * m2 = -1

m * -1/2 = -1

-m = -2 , therefore m = 2

-5 = 4 * 2 + c

c = -5 - 8, which is -13

Therefore the equation for the line is

y = 2x - 13

Answer:

x-(4+x)

Step-by-step explanation:

x is the number. and a number subtracted from the product of four and the number is basically saying x-(4+x)

Answer:

y = -2x - 3

Step-by-step explanation:

Given:

Equation of -x +2y =4

Point of (-2,1)

-x + 2y = 4

y = x/2 + 2 or y = 1/2x + 2

Which means the equation's slope is m = 1/2.

The slope of the perpendicular line is negative inverse which is m = -2.

Now we have an equation of y = -2x + a.

Use (-2, 1) to find a:

1 = (-2)(-2) + a

a = -3

y = - 2x - 3

Answer:

C. a => c

Step-by-step explanation:

       a                          b                           c                a => b          a => c (not C)

       0                          0                        0                    

       0                           0                        1                    

       0                          1                         0                    

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       1                          0                        0                  F                  F

       1                           0                        1                  F  

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        1                           1                         1                                          

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        0                        0                          1                                        

         0                        1                           0                                        

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       0                          0                        0                                        

       0                           0                        1                                            F

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       1                          0                        1                                          

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          0                       1                          0

answer: everything is false lol

Answer:

72 degrees

Step-by-step explanation:

4x+6x=180

10x=180 combine like terms

10x/10=180/10

x=18

4(18) = 17

Answer:

1

Step-by-step explanation:

Answer:

Can complete a work in 12 days working 8 hours a day Q can complete the same work in 8 days working 10 hours a day if both p and q work together working 8 hours a day in how many days?

Step-by-step explanation:

Answer:

6 hours x 5 person sx 16 days = 480 hours to complete the work.

480/ ( 8person * 4hours) = 15days

Thank you and please rate me as brainliest as it will help me to level up

Answer:

b

Step-by-step explanation:

cause if you divided 5 by 4 you'd get 1.25 then times that by 8 it'll give you 10 thus the answer is b

The rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12

The given equation is:

[tex]12(cos\pi+ isin\pi)[/tex]

The above equation is in polar form

Note that:

[tex]cos \pi = -1\\\\sin\pi = 0[/tex]

Substituting [tex]cos \pi = -1[/tex] and [tex]sin \pi = 0[/tex] into the expression [tex]12(cos\pi+ isin\pi)[/tex] in order to get the rectangular form of the expression

[tex]12(cos\pi+ isin\pi)[/tex]

=  12(-1   +   1(0))

=  12 ( -1  +  0)

=  12(-1)

=  -12

Therefore, the rectangular form of the polar expression [tex]12(cos\pi+ isin\pi)[/tex] is -12

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3y

Step-by-step explanation:

Answer:

Negative 1/8 is the answer

Answer:A

Step-by-step explanation:

In the Neolithic Revolution, people formed civilizations.

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.

Step-by-step explanation:

Geometrically speaking, any line is represented by equation of the form:

[tex]y = m\cdot x + b[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

In addition, the slope is defined in terms of distinct known points. That is:

[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (2)

If we know that [tex](x_{1},y_{1})=(4,b)[/tex], [tex](x_{2}, y_{2}) = (a, 8)[/tex] and [tex]m = 2[/tex], then the slope is:

[tex]\frac{8-b}{a-4} = 2[/tex]

[tex]8-b = 2\cdot (a-4)[/tex]

[tex]8-b = 2\cdot a -8[/tex]

[tex]b = 16-2\cdot a[/tex]

There is more than one option. If we assume that [tex]a = 6[/tex], then [tex]b[/tex] is:

[tex]b = 16-2\cdot (6)[/tex]

[tex]b = 4[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] are 6 and 4, respectively.

Answer:

I think it will be 4:7 im not very sure tho

Step-by-step explanation:

Answer:

96.93

Step-by-step explanation:

89,75+

Answer:

−3x⋅(x+6)⋅(x−8)

Step-by-step explanation:

hp this helps

Answer:

The total cost of the meal is $19.35.

Step-by-step explanation:

As Nicole ordered a $ 15 menu, and on that price she paid a tip of 20% and the town in which she bought it had a sales tax of 9%, the total cost of the meal is determined by performing the following calculation:

1- Menu $ 15

2- Tip $ 3 (15 x 0.2)

3- Sales tax $ 1.35 (15 x 0.09)

Thus, adding the three expenses, the total cost of the food for Nicole is $ 19.35 (15 + 3 + 1.35).

Answer:

Option (3) and Option (5)

Step-by-step explanation:

Alice invested $13 in the first month.

Then she deposits $25 every month.

Therefore, sequence formed by the deposit will be an arithmetic sequence.

First term of the sequence will be,

[tex]A_1=13[/tex]

Since, recursive formula formula of a sequence is given by the formula,

[tex]A_n=A_{(n-1)}+d[/tex]

Where 'd' = common difference in each term of the sequence

Recursive formula for the sequence will be,

[tex]A_n=A{(n-1)}+25[/tex]

Since, explicit formula for the arithmetic sequence is represented by the formula,

[tex]A_n=A_1+(n-1)d[/tex]

where n = number of term

d = common difference

Therefore, nth term of the sequence formed will be represented by the explicit formula,

[tex]A_n=13+(n-1)25[/tex]

[tex]A_{10}=13+(10-1)25[/tex]

      = 13 + 225

      = 238

[tex]A_{8}=13+(8-1)25[/tex]

     = 188

[tex]A_{12}=13+(12-1)25[/tex]

      = 288

Therefore, Option (3) and Option (5) will be the answer.

9514 1404 393

Answer:

  q = 58

Step-by-step explanation:

If the variation is inverse, when p is multiplied by 1/2, q will be multiplied by the inverse (reciprocal) of 1/2, which is 2/1 = 2.

When p = (1/2)(28), q = (2)(29) = 59

  q = 58

Answer:

What is typed in the attached Excel file is =FV(B4,B5,-B3,0,0).

Step-by-step explanation:

Note: See the attached excel file for the calculation of future value of an ordinary annuity.

Since we want to find the balance after 30 years, the function in the Excel is the FV function which is used to calculate the future value (FV) of an ordinary annuity as follows:

=FV(rate,nper,-pmt,0,0) …………………… (1)

rate = Monthly interest rate = APR / 12 = 8.99% / 12 = 0.0899 / 12 = 0.00749166666666667. Note: This is typed in cell B4 in attached excel file.

nper = periods = number of months = 30 years * 12 months = 360. Note: This is typed in cell B5 in attached excel file.

pmt = monthly payment = $300. Note: This is typed in cell B3 in the attached excel file. And also typed as a negative value in cell B7, i.e. as -B3.

pv = present value = 0. Note: This is the first 0 typed in cell B7 in the attached excel file.

type 0 = 0 this is typed to indicate that deposit is made at end of period as a regular or ordinary annuity. This is the second 0 typed in cell B7 in the attached excel file.

Based on the above, the FV function in equation (1) above is converted to the following which is typed in the attached Excel file to find the balance after 30 years:

=FV(B4,B5,-B3,0,0)

The above then gives a future value of $548,080.11 which is  the balance after 30 years.