Write the polynomial in standard form that represents the perimeter of the quadrilateral
3x - 2
2x
12x+1
5x - 2
The solution is

Answers

Answer 1

Answer:

Linear function

Step-by-step explanation:

4

Answer 2

The polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].

Important information:

The side lengths of a quadrilateral are [tex]3x-2,2x,12x+1,5x-2[/tex].

We need to find the polynomial in a standard form that represents the perimeter of the quadrilateral.

Standard form of Polynomial:

The perimeter of the quadrilateral is the sum of all of its sides.

[tex]\text{Perimeter}=3x-2+2x+12x+1+5x-2[/tex]

[tex]\text{Perimeter}=22x-3[/tex]

Therefore, the polynomial in a standard form that represents the perimeter of the quadrilateral is [tex]22x-3[/tex].

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Related Questions


The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)^t, where t is the elapsed time
in hours. What is the inverse function?

Answers

Answer:

C. P–1(t) =   log5 (StartFraction t Over 19,300 EndFraction)

Step-by-step explanation:

The inverse function of P(t) is [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex]                    

What is an inverse function?

The inverse function is a function obtained by reversing the given function. An inverse is a function that serves to “undo” another function. The domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function.

For the given situation,

The function P(t) = 19,300(5)^t, where t is the elapsed time in hours.

Steps to find inverse function:

Step 1: Replace P(t) as y

[tex]P(t) = 19,300(5)^t[/tex]

⇒ [tex]y= 19,300(5)^{t}[/tex]

Step 2: interchange t and y

⇒ [tex]t = 19,300(5)^y[/tex]

Step 3: Now solve for y

⇒ [tex]\frac{t}{19300} =5^y[/tex]

By law of logarithm,

[tex]a^{x} = y[/tex]

⇒ [tex]log_{a} y=x[/tex]

Thus the equation becomes,

⇒ [tex]log_{5} \frac{t}{19300}=y[/tex]

Step 4: Now replace y as [tex]P^{-1}( t)[/tex]

⇒ [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex]

Hence we can conclude that the inverse function of P(t) is [tex]P^{-1} (t)=log_{5}( \frac{t}{19300})[/tex].

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The sum of two integers is 10. Their difference is 4.
What are the two integers?

Answers

answer = 7&3

step by step solution

let's take X and Y two intigers

X+Y=10

X-Y=4

adding both equation

X=7

Y=3

A medical secretary maintains the accounts and writes the paychecks
for a medical office complex. There are 36 people on the payroll. Eight people earn $10 per hour, eleven people earn $15 per hour, four people earn $18 per hour, six people earn $21 per hour, and seven people earn $26 per hour. If everyone works 40 hours per week, what is the total amount of money needed for the payroll each week?

Answers

Answer:

$25,000

Step-by-step explanation:

8 x $10 = 80 x 40 = $3,200

11 x $15 = 165 x 40 = $6,600

4 x $18 = 72 x 40 = $2,880

6 x $21 = 126 x 40 = $5,040

7 x $26 = 182 x 40 = $7,280

3200 + 6600 + 2880 + 5040 + 7280 = $25,000

I hope this helps!

-TheBusinessMan

Jackson claims that the order of the best deal to the worst deal (based on cost/oz) is 10 oz bottle, 89 oz bottle, 59 oz bottle, case of 24 10 oz bottles, and 64 oz carton. Which statement about Jackson’s claim is true?

Answers

Answer:

Jackson is incorrect.

Step-by-step explanation:

He should compare the values in equal place values to compare all the decimals, not just those of the same length. For example, 0.0561 < 0.05625 < 0.0564.

Answer:

C

Step-by-step explanation:

If B is the midpoint of AC. AB = 4v and AC = 5v + 24. what is BC?

Answers

Answer:

v+24

Step-by-step explanation:

I first drew a line with A in one side and C in the other side. Then, I put B in the middle, as it is the midpoint. Under AB, I put 4v, and under AC, I put 5v+24. To get BC, you must subtract 5v+24 and 4v. I did 5v+24-4v. All I really had to do was subtract 4v from 5v which gave me v, since I can only subtract like-term numbers. Anyway, after that, I got v+24. Hope this helped!

5x-11=19. Solve for x. Please explain how you got x

Answers

Answer:

x = 6

Step-by-step explanation:

5x - 11 = 19

     +11 = +11

      5x = 30

    5x/5 = 30/5

        x =  6

identify the degree of the polynomial x^2y+5xy^3-7y^2+2

Answers

We have three parts of the equation with a power:

x^2y, 5xy^3, and 7y^2

We can find the degree of each by the following:

x^2y; 2 + 1 = 3

5xy^3; 1 + 3 = 4

7y^2; 2

Therefore, the highest degree is 4.

Best of Luck!

On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0), and crosses the y-axis at (0, negative 3). What are the intercepts of the graphed function? x-intercept = (–1, 0) a y-intercept = (–3, 0) b x-intercept = (0, –1) c y-intercept = (0, –3) d x-intercept = (0, –1) e y-intercept = (–3, 0) f x-intercept = (–1, 0) g y-intercept = (0, –3)

Answers

Answer:

It’s d on edge

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Edge

Solve the equation for x.


x2 = 25

Answers

Answer:

x = 12.5

Step-by-step explanation:

x2 = 25 Divide both sides by 2

x = 12.5

Answer:

[tex]\huge\boxed{x = \± \ 5}[/tex]

Step-by-step explanation:

[tex]\sf x^2 = 25[/tex]

Taking sqrt on both sides

[tex]\sf \sqrt{x^2} = \sqrt{25}[/tex]

x = ± 5

math problem At a nba game the ratio of the score of team b was 16.21. of a team a got 80 points. how many points did team b get?

Answers

Answer:

105 points.

Step-by-step explanation:

The scores of team A and B is 16 and 21.

if 16 = 80, The ratio of 16 to 21 is 5.

So, that means 16 x 5 is 80.

How many points did team B get?

score x gap between 16 to 21

= 21 x 5 = 105.

the team B got 105 points.

please help with 1-3 thank you!

Answers

Answer:

x the probleme

Step-by-step explanation:

Answer:

2 is 3/5 and 3 is (0,-6) and the slop is 4/3

Step-by-step explanation:

find the measure of the indicated angle to the nearest degree. Show the work please.​

Answers

Answer:  1) 65°     2) 17°   3) 53°  or  37°

Step-by-step explanation:

[tex]1.\quad \cos \theta=\dfrac{adjacent}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{3}{7}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{3}{7}\bigg)\\\\\\.\qquad \qquad \theta =65^o[/tex]

[tex]2.\quad \tan \theta =\dfrac{opposite}{adjacent}\\\\\\.\quad \quad \tan\theta =\dfrac{8}{26}\\\\\\.\qquad \qquad \theta =\tan ^{-1}\bigg(\dfrac{4}{13}\bigg)\\\\\\.\qquad \qquad \theta = 17^o[/tex]

3.  Which angle do you need? I solved for both:

               Bottom Right                     Top Left

[tex].\qquad \cos \theta=\dfrac{adjacent}{hypotenuse}\qquad \qquad \sin \theta = \dfrac{opposite}{hypotenuse}\\\\\\.\quad \quad \cos \theta=\dfrac{14}{23}\qquad \qquad \qquad \qquad \sin \theta=\dfrac{14}{23}\\\\\\.\qquad \qquad \theta=\cos ^{-1}\bigg(\dfrac{14}{23}\bigg)\qquad \qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{14}{23}\bigg)\\\\\\.\qquad \qquad \theta =53^o\qquad \qquad \qquad \qquad \quad \theta =37^o[/tex]

Question 1:

cosθ = adj/hyp

cosθ = 3/7

θ = cos^-1(3/7)

θ = 65

Questions 2:

tanθ = opp/adj

tanθ = 8/26

θ = tan^-1(4/13)

θ = 17

Question 3:

Top left:

sinθ = opp/hyp

sinθ = 14/23

θ = tan^-1(14/23)

θ = 37

Bottom Right:

cosθ = adj/hyp

cosθ = 14/23

θ = cos^-1(14/23)

θ = 53

Best of Luck!

hanks pickup can travel 68 miles on 4 gallons of gas. How many gallons will hanks pickup need to travel 34 miles?

Answers

Answer: This is a ratio of miles (m) per gallon (g), which can be written as the fraction  m/g. So Hank's truck can do 68 miles per 4 gallons, or 68/4. The other ration of miles per gallon is 34 miles to (x) amount of gallons. If you set these ratios equal to each other, the resulting equation can help you solve for the number of gallons.

Answer:

2 gallons

Step-by-step explanation:

Customer arrivals at a bank are random and independent; the probability of an arrival in any one-minute period is the same as the probability of an arrival in any other one-minute period.
A. What is the probability of exactly three arrivals in a one-minute period?
B. What is the probability of at least three arrivals in a one-minute period?

Answers

Answer:

0.2240418 ; 0.57681

Step-by-step explanation:

Given the information above :

A) What is the probability of exactly three arrivals in a one-minute period?

Using poisson probability function :

p(x ; m) = [(m^x) * (e^-m)] / x!

Here, m = mean = 3, x = 3

P(3 ; 3) = [(3^3) * (e^-3)] / 3!

P(3;3) = [27 * 0.0497870] / 6

= 1.3442508 / 6

= 0.2240418

B) What is the probability of at least three arrivals in a one-minute period?

Atleast 3 arrivals

X >= 3 = 1 - [p(0) + p(1) + p(2)]

P(0 ; 3) = [(3^0) * (e^-3)] / 0! = (1 * 0.0497870) / 1 = 0.0497870

P(1 ; 3) = [(3^1) * (e^-3)] / 1! = (3 * 0.0497870) / 1 = 0.1493612

P(2 ; 3) = [(3^2) * (e^-3)] / 2! = (9 * 0.0497870) / 2 = 0.2240418

1 - [0.0497870 + 0.1493612 + 0.2240418]

1 - 0.42319 = 0.57681

On a coordinate plane, a line goes through points (0, 1) and (3, negative 1). Consider the graph of the line. Using the rise/run counting method, the slope of the line is .

Answers

Answer: The slope of the line is -2/3.

Step-by-step explanation:

How I think of it is that on the y plane on a graph, going from positive 1 to negative 1 you need to move down 2 places and thats the "rise" part of rise over run eventhough you moved down. Then on the x plane, going from 0 to 3 you need to move 3 spaces to the right on the graph and thats the "run" part of rise over run because you can either move left or right. Rise over run can also be thought of as change in y over change in x which means that since i went down 2 places on the y, the change in y was 2 and since we moved 3 places over on the x plane the change in x whould be 3. Since we move down and then to the right on the graph, the line being created would be negative, so you final answer for the slope is -2/3!

I hope this helps :)

Answer:

-2/3

Step-by-step explanation:

Hope this helps!

How many models of 100 do you need to model 7,600? Enter the number. Then complete the explanation.

Answers

Answer:

76

Step-by-step explanation:

Well if you simply multiply 100x76 you would get 7,600. Or if you still have not learned to multiply just add 76+76 on a calculator until you get 7,600.

A pyramid has a square base with an area of 169ft. What is the perimeter of the base of the pyramid?

Answers

Answer:52 ft.

Step-by-step explanation: If the area of the base of the pyramid is

169

ft

2

then each side of the base is

13

ft

long because the base of the pyramid is a square.

Length of the side,

s

=

169

=

13

Iif we take the area of a square

A

=

s

2

where

s

=

13

we get the area of the base to be

169

ft

2

thus proving that each side of the base is

13

ft

long.

So to find the perimeter of the base of the pyramid we use the formula:

P

=

4

s

where

s

=

13

ft

and thus,

p

=

4

13

ft

=

52

ft

a rectangular shape waiting room has an area 120ft and a perimeter of 44 ft.what are the dimensions?

Answers

Answer: W * L = 120

2W + 2L = 44

2W = 44 - 2L

W = 22 - L

(22-L) * L = 120

22L - L² = 120

L² - 22L = -120

L² - 22L + 121 = 121 - 120

(L - 11)² = 1

L - 11 = ±1

L = 11 ± 1

L = 10 or 12

Dimensions: 10 * 12

Step-by-step explanation: write it on paper

Can you guys help me how to answer thus

Answers

Answer:

a, 32

b, -58

Step-by-step explanation:

a) g(0) = 6 - 0^2 = 6

--> f(g(0)) = 4 . 6 + 8 = 32

b) f(0) = 4 . 0 + 8 = 8

--> g(f(0)) = 6 - 8^2 = 6 - 64 = -58

need help asap!!!! plsss i have 5min

Answers

Answer:

30

Step-by-step explanation:

x=10

x^2+3x-130=0

x=10 or -13

there is no negative angle so the answer is ten

{12÷(9−6)}+4×6{12÷(9−6)}+4×6

Answers

Answer:

56

Step-by-step explanation:

9-6=3

12 divided by 3 is 4

4x6=24

24+4=28

Do the same to the other side and you get 28

28+28=56

Hope it’s right

If five less than y is six more than x + 1, then by how

much is x less than y?

Answers

Answer:

12 more

Step-by-step explanation:

y-5= 6+ (x+1)

5+6+1=12

x is 12 less than y.

Five less than y is six more than x + 1,

y - 5= 6 + (x + 1)

5 + 6 + 1 = 12.

What are the steps in solving linear equations in one variable?

Step 1: Simplify each side, if needed.Step 2: Use Addition/Subtraction Properties to move the variable term to one side and all other terms to the other side.Step 3: Use Multiplication/Division.Step 4: Check your answer.

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Why is√5 irrational?
A.)because it is less than one
B.)because it has no opposite
C.)because all square roots are irrational
D.)because it cannot be expressed as a ratio of integers

Answers

Answer: The expression x(x + 1) is even for any integer x (since either x or x + 1 is even). So this says that 5 × even + 1 = even, or odd = even. Since there is no integer that is both even and odd, we have reached a contradiction and √5 is irrational. So the answer would be D.) because it cannot be expressed as a ratio of integers

translate into words
5+x

Answers

Five added to the number, x.

Step-by-step explanation:

Five represents (5)

added to represents (+)

The number, x. represents (x)

The measure of an angle is 103°. What is the measure of its supplementary angle?

Answers

Answer:

77

Step-by-step explanation:

Let's let the unknown number be x.

Supplementary angles add up to a total of 180 degrees. Since we already know one angle is 103, this means that:

[tex]103+x=180[/tex]

Subtract 103 from both sides:

[tex]x=77\textdegree[/tex]

So, the measure of its supplementary angle is 77 degrees.

And we are done!

Answer:77

Step-by-step explanation:

Don ate 4/22 of the pie.what percent of the pie did he eat?

Answers

Answer:

9.090909090909%

Step-by-step explanation:

2/22 = 1/11 = 9.090909090909%

Hope This Helps :)

Is 7.787887888… a rational number? PLEASE ANSWER ASAP!! WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

yes it is a rational number because the number has a repeating pattern  

Step-by-step explanation:

The number 7.787887888... is rational, Yes; it has a pattern that is repeating.

What is an irrational number?

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words, the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

It is given that:

The number is 7.787887888

As we know,

The rational number can be represented in the form of p/q where q cannot be equal to zero.

If the number is terminated after some decimal places then it is said to be a rational number.

If the number is repeating its digit after decimal then it is said to be an irrational number.

Thus, the number 7.787887888... is rational, Yes; it has a pattern that is repeating.

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On a family dinner table there are two plates for everybody, and only one plate for little Katelyn. 10 people and Katelyn came to the dinner. How many plates were on the table?

Answers

Answer:

21 plates

Step-by-step explanation:

10 people each got two plates, 10 x 2 = 20.

Plus Katelyn's plate, 20+ 1 = 21.

Hope this helps!

Answer:

its actually 21 plates

Step-by-step explanation:

10×2=20+1=21

What is the value of 3 in the number 235,178???

Answers

Answer:

  30,000

Step-by-step explanation:

Set the other digits to zero to obtain your answer:

  030,000

The value of the 3 is 30,000.

___

It is in the "ten-thousands" place, so represents 3 ten-thousands, or thirty thousand.

Find R U S, given the following sets:

P = {b, d, f, g}
Q = {a, b, c, d}
R = {c, e, f, g}
S = {a, d, g}

Answers

Answer:

(RUS)={ a,c,d,ef,g}

Step-by-step explanation:

All the number of alphabets present in R and S will be the union of set R and S

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