35. The sum of the angles of a polygon is 1620°. Calculate the number of sides that polygon has.

Answer:

see explanation

Step-by-step explanation:

1

4(5 + 3n) - 7 ← distribute parenthesis by 4

= 20 + 12n - 7 ← collect like terms

= 12n + 13

2

6 - (10n + 8) ← distribute parenthesis by - 1

= 6 - 10n - 8 ← collect like terms

= - 10n - 2

combining (adding) the 2 expressions

12n + 13 - 10n - 2 ← collect like terms

= 2n + 11

Answer:

A = .05 and B = .08 so A is the better buy

Step-by-step explanation:

In each case, divide total cost by number of units to get unit cost.

Answer:

I graphed the two equations for you. The point one which is selected is the solution to the system of equations.

Step-by-step explanation:

Please see attachment below.

Hope this helps!

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Answer:

Frank was born in 1933 and died in 1946 at the age of 57. 1933 and 1946 are not years but just room or ward numbers.

EXPLANATION:

The numerical 1933 and 1946 do not signify the year of birth or death. No where in the question is the word 'years' mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.

Similarly 1946 is the room or ward number where Frank died. Hence his age is irrelevant with respect to 1933 and 1946. His related age of 57 thus has nothing to do with them.  

Answer:

The numerical 1933 and 1946 do not signify the year of birth or death. Nowhere in the question is the word ‘years’ mentioned. Thus 1933 signifies either the room number or the ward number of the hospital Frank was born in.

Step-by-step explanation:

well, tis noteworthy that whenever we have an absolute value equation is really a piece-wise function in disguise, namely the absolute expression is really two in disguise.

[tex]8x=2|6x-2|\implies \cfrac{8x}{2}=|6x-2|\implies 4x=|6x-2|\implies \begin{cases} 4x=+(6x-2)\\ 4x=-(6x-2) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 4x=+(6x-2)\implies 4x=6x-2\implies 0=2x-2 \\\\\\ 2=2x\implies \cfrac{2}{2}=x\implies \boxed{1=x} \\\\[-0.35em] ~\dotfill\\\\ 4x=-(6x-2)\implies 4x=-6x+2\implies 10x=2\implies x=\cfrac{2}{10}\implies \boxed{x=\cfrac{1}{5}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x= \begin{cases} 1\\[1em] \frac{1}{5} \end{cases}~\hfill[/tex]

Answer: (2) 1010025

Step-by-step explanation:

Let's find the sum of 1+3+5+7+...+2007+2009

Let's use the formulas for an arithmetic progression:

[tex]a_1=1\ \ \ a+2=3\\d=a_2-a_1\\d=3-1\\d=2[/tex]

[tex]a_1 =1\ \ \ \ a_n=2009\\a_n=a_1+(n-1)d\\\Rightarrow\ 2009=1+(n-1)2\\\Rightarrow \ 2009=1+2n-2\\\Rightarrow\ 2009=-1+2n\\\Rightarrow\ 2010=2n\\[/tex]

Divide both parts of the equation by 2:

[tex]1005=n[/tex]

Hence,

[tex]\displaystyle\\S=\frac{a_1+a_n}{2} n\\\\S=\frac{1+2009}{2}1005\\\\S=\frac{2010}{2} 1005\\\\S=1005*1005\\\\S=1010025[/tex]

35 degrees Celsius is equal to 95 degrees Fahrenheit.

What is the formula for Celsius to Fahrenheit?

Without a calculator, how do you convert from Celsius to Fahrenheit?

F = 9 / 5 * 35 + 32

F = 63 + 32

F = 95

35 degrees Celsius is equal to 95 degrees Fahrenheit.

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Answer:

25x^2 -9

Step-by-step explanation:

(5x+3)(5x-3)

FOIL

first  5x*5x = 25x^2

outer 5x*-3 = -15x

inner 3*5x = 15x

last = 3*-3 = -9

Add them together  25x^2 -15x+15x -9

Combine terms  25x^2 -9

Answer:

[tex] \sf25 {x}^{2} - 9[/tex]

Step-by-step explanation:

We can use Foil method to find the answer for this expression.

(5x + 3) (5x - 3)

That is:

F --> First ---> (5x)(5x)

O --> Outside ---> (5x) (-3)

I --> Inside ---> (3)(5x)

L --> Last ---> (3) (-3)

And now we have to add those terms together while combining like terms.

[tex] \sf(5x)(5x) + (5x)( - 3) + (3)(5x) + (3)( - 3) \\ \sf25 {x}^{2} - 15x + 15x - 9 \\ \sf25 {x}^{2} - 9[/tex]

Initial estimates of the probabilities of events are known as prior probabilities.

Prior probability, in Bayesian statistics, is the probability of an event before new data is collected. This is the best rational assessment of the probability of an outcome based on the current knowledge before an experiment is performed.

The prior probability of an event will be revised as new data or information becomes available, to produce a more accurate measure of a potential outcome. That revised probability becomes the posterior probability and is calculated using Bayes' theorem. In statistical terms, the posterior probability is the probability of event A occurring given that event B has occurred.

The prior probability is the probability assigned to an event before the arrival of some information that makes it necessary to revise the assigned probability. The revision of the prior is carried out using Bayes' rule. The new probability assigned to the event after the revision is called posterior probability.

Initial estimates of the probabilities of events are known as prior probabilities.

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Answer:

x=-10/3

Step-by-step explanation:

(2x+4)=-4(-2x-6)

distribute -4 to (-2x-6) by multiplying 

negative multiplied by a negative is a positive 

8x+24=2x+4

subtract 24 from each side 

8x=2x-20

subtract 2x from each side 6x=-20

divide both sides by 6 

-20/6 

simply to -10/3 or -3 1/3 or -3.3

x=-10/3

hope this helps! if you have any questions please ask!

Answer:

88 is the answer to the question

Answer: y=-x+17

-1 ==> slope

(0, 17)

Step-by-step explanation:

x+y=17

x-x+y=17-x

y=-x+17

-x/x=-1 ==> slope

y=-x+17

y=-(0)+17

y=17 ==> (0, 17)

Answer:

21 g

Step-by-step explanation:

12g

+ 9g

_____

21g

======

I think this is the answer but i can't confirm because your theory and my theory can be different

Answer:

1. [tex](x-6)^{2}[/tex]

2. [tex](x +11)^2[/tex]

3. [tex](x-4y)^{2}[/tex]

4. [tex](5x - y)^2[/tex]

Step-by-step explanation:

1. [tex]x^{2} -12x +36[/tex] ---> [tex](x-6)^{2}[/tex]

2. [tex]x^{2} +22x + 121[/tex] ---> [tex](x +11)^2[/tex]

3. [tex]x^{2} -8xy+16y^{2}[/tex] ---> [tex](x-4y)^{2}[/tex]

4. [tex]25x^2-10xy + y^2[/tex] ---> [tex](5x - y)^2[/tex]

The equation of the graph is (x-3)(x+1), the y-intercept of y=[tex]x^{2} -5x+4[/tex] is "4" and the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) ad (x-1)

Given that a graph touch x-axis at 2 points i.e. 2 roots are there for given graph.The graph touches the x-axis at (3,0) and (-1,0) it implies x=3 and x=-1 are the solutions the equation,(x-3) and (x+1) are factors of equation

Therefore,the equation of graph is  (x-3)(x+1).

Given the equation y=[tex]x^{2} -5x+4[/tex]

The y-intercept is defined as the graph passing a fixed point at x=0 line

i.e.(0,c) pass through it . c is the y-intercept

c=0-0+4

c=4

Therefore,The y-intercept of  the equation y=[tex]x^{2} -5x+4[/tex] is 4

Factorising  y=[tex]x^{2} -5x+4[/tex]

⇒  y=[tex]x^{2} -5x+4[/tex]

⇒y=[tex]x^{2} -x-4x+4[/tex]

⇒y=x(x-1)-4(x-1)

⇒y=(x-4)(x-1)

Therefore, the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) and(x-1)

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The value of 5x + 5y is 2500 by substitution method.

According to the given question.

We have two equations

2x + 3y = 1200

3x + 2y = 1300

Since, we have to find the value of 5x + 5y by substitution method.

From equation 2x + 3y = 1200

2x = 1200 - 3y

⇒ x = [1200 -3y]/2

Substitute the value of x in 3x + 2y = 1300.

⇒ 3[1200 - 3y]/2 + 2y  = 1300

⇒   3[600 -3y/2] + 2y = 1300

⇒ 1800 - 9y/2 + 2y  = 1300

⇒ 1800 + (4y - 9y)/2  = 1300

⇒ (4y - 9y)/2  = -500

⇒ -5y = -1000

⇒ y = 200

So,

x = [1200 - 600]/2  = 600/2 = 300

Thereofore, the value of 5x + 5y by substitution method is given by

5(300) + 5(200)

= 1500 + 1000

= 2500

Hence, the value of 5x + 5y is 2500 by substitution method.

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(B) 108 minutes is Ryan's time.

So,

Ryan's rate of 4 miles per hour can be voiced in minutes as 4 miles per 60 minutes.

Ryan's time:

Therefore, (B) 108 minutes is Ryan's time.

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The correct question is given below;
Ryan is riding his bike. He biked a distance of 12 miles at a rate of 4 miles per hour. Rearrange the distance formula, d = rt, to solve for Ryan's time in minutes.

a. 480 minutes

b. 180 minutes

c. 8 minutes

d. 3 minutes

[tex]6[/tex][tex]x^{12}[/tex][tex]y^{11}[/tex][tex]z^{19}[/tex][tex]\sqrt{5xyz}[/tex]

How do you define the square root of a number?

In mathematics, a square root of a number x is a number y such that y^2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.

[tex]\sqrt{180x^{25 } y^{23} z^{39}[/tex]

[tex]180 = 2*2*3*3*5\\x^{25} = x*x*x........*x 25 times\\y^{23}= y*y*y.........*y 23 times\\ z^{39} = z*z*z........*z 39 times[/tex]

we have

square terms comes out

x is 25 times so we can write x as [tex](x^{12})^{2}[/tex] [tex]*[/tex][tex]x[/tex] therefore [tex]x^{12}[/tex] comes out and only left inside is x

similarly [tex](y^{11})^{2}[/tex] [tex]*y[/tex] therefore [tex]y^{11}[/tex] comes out and only left inside is y

[tex](z^{19})^{2} *z[/tex] therefore [tex]z^{19}[/tex] comes out and left inside is z

then the expression become

[tex]6[/tex][tex]x^{12}[/tex][tex]y^{11}[/tex][tex]z^{19}[/tex][tex]\sqrt{5xyz}[/tex]

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Answer:

Step-by-step explanation:

Factoring  5n2-9n-2

The first term is,  5n2  its coefficient is  5 .

The middle term is,  -9n  its coefficient is  -9 .

The last term, "the constant", is  -2

Step-1 : Multiply the coefficient of the first term by the constant   5 • -2 = -10

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -9 .

     -10    +    1    =    -9    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  1

                    5n2 - 10n + 1n - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   5n • (n-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (n-2)

Step-5 : Add up the four terms of step 4 :

                   (5n+1)  •  (n-2)

            Which is the desired factorization

Answer:

13

Step-by-step explanation:

You just have to minus 17 with 4 to get the answer!

Distance = 17 - 4 = 13 units

Answer:

10

Step-by-step explanation:

Bxhwbdjnqbxkabxjb iqbdnannsmxns

Answer:

-2.04

Step-by-step explanation:

it'll be

-1.34 - 0.7 = y

- 2.04 = y

The Second and third car seats are appropriate for a 32-ib child

The first car :

The range  30 ≤x< 32

    So it is not possible for a car seat appropriate for a 32-ib child.

The second car:

The range 15<x <40

     So it is possible for a car seat appropriate for a 32-ib child.

The third car:

The range 30< x< 85

   So it is also possible.

Hence the second and the third ranged car is possible for a 32-ib child.

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Answer:

[tex]x=29[/tex]

Step-by-step explanation:

These two angles add up to 180 degrees. We can make an equation saying that [tex](2x+6)+4x=180[/tex]. Simplifying, we get [tex]6x+6=180\\[/tex].

Now when we subtract 6 from both sides we get [tex]6x=174[/tex]. Then we divide both sides by 6 to get our final answer: [tex]x=29[/tex]

Hope this helps!

False. All real numbers, with the exception of 0 because f (0) = 1 0, fall inside the reciprocal function's domain and range. Y cannot be 0 if x cannot, either.

In mathematics, a real number is a quantity that may be represented by an endless number of decimal expansions. In contrast to the natural numbers 1, 2, 3,... that result from counting, real numbers are used in measurements of continuously varying quantities such as size and time. They are distinguished from imaginary numbers, which use the symbol I or the square root of 1, by the word "real." A complex number has a real (1) and an imaginary I component, like 1 + i. The positive and negative integers, as well as the fractions created from them (also known as rational numbers), as well as the irrational numbers, are all real numbers.

Contrary to rational numbers, whose decimal expansions always contain a digit or group of digits that repeats itself, such as 1/6 = 0.16666... or 2/7 = 0.285714285714, irrational numbers have decimal expansions that do not repeat themselves. Since there is no regularly repeating group in the decimal produced as 0.42442444244442, it is irrational.

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