What is the factored form of the polynomial P(x) shown here?see attached imagea) P(x) = (x-5)(x-2)(x)b) P(x)=(x+5)(x-2)c) P(x) = (x+5)(x+2)(x)d) P(x) = (x+5)(x)

Answer: 8109/77 in decimal form 105.31169

Step-by-step explanation: simplify 153/4

189 811  212  153

 ((———+———)+———)+———

   11  14   11   14

212

Simplify   ———

           11

Find the Least Common Multiple

     The left denominator is :       11  

     The right denominator is :       14  

       Number of times each prime factor

       appears in the factorization of:

Prime  

Factor   Left  

Denominator   Right  

Denominator   L.C.M = Max  

{Left,Right}  

11 1 0 1

2 0 1 1

7 0 1 1

Product of all  

Prime Factors  11 14 154

Least Common Multiple:

     154

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M  

   Denote the Left Multiplier by  Left_M  

   Denote the Right Multiplier by  Right_M  

   Denote the Left Deniminator by  L_Deno  

   Denote the Right Multiplier by  R_Deno  

  Left_M = L.C.M / L_Deno = 14

  Right_M = L.C.M / R_Deno = 11

Rewrite the two fractions into equivalent fractions

  L. Mult. • L. Num.      14535

  ——————————————————  =   —————

        L.C.M              154  

  R. Mult. • R. Num.      153 • 11

  ——————————————————  =   ————————

        L.C.M               154    

Adding fractions that have a common denominator :

7.4       Adding up the two equivalent fractions

14535 + 153 • 11     8109

————————————————  =  ————

      154             77

8109              

 ———— = 105.31169  

  77            

Answer:

c= -4

Step-by-step explanation:

Among the mean, mode, and median, the unique one is the b. mode.

The mode is the data value that occurs many times more than other data values.

Unlike the mean that shows the average value of all the data values, the mode occurs more.  While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.

Similarly, the median can be computed when two values occur as the middle values.

Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.

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Answer:

30

Step-by-step explanation:

200 x .15   (1-.85 = .15)

30

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

The answer to this question is 5 + 4 because Isaiah started with $5 but gained (addition) $4 from his mom.

The value of side length x (DF) in the triangle is 4.

The figures in the image is that of two similar triangle.

Triangle ABC is similar to triangle DEF.

From the diagram:

Leg 1 of the smaller triangle DE = 5

Leg 2 of the smaller triangle DF = x

Leg 1 of the larger triangle AB = 30

Leg 2 of the larger triangle AC = 24

To find the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg DE : Leg DF = Leg AB : Leg AC

Plug in the values:

5 : x = 30 : 24

5/x = 30/24

Cross multiplying, we get:

30x = 5 × 24

30x = 120

x = 120/30

x = 4

Therefore, the value of x is 4.

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Here's the slope formula we'll be using

The two points will give us the numbers and variable that will replace the subscripted variables in the slope equation.

coordinate: (6,12) and (0,4)

Answer:

2, 3, 5, 8, 13 missing number is 18.

Answer:

100°

Step-by-step explanation:

No explanation, by  your request.

If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

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Answer:

D: 61 degrees.

Step-by-step explanation:

right angles add up to 90 degrees.

Answer:

61 degrees

Step-by-step explanation:

29+x=90

x=90-29

x=61

Answer:

55

Step-by-step explanation:

1+1 = 2

1+2 = 3

2+3 = 5

3+5 = 8

5+8 = 13

8+13 = 21

13+21 = 34

21 +34 = 55

PLEASE GIVE BRAINLIEST

Answer:

a. y = 265 + 5x

b. 500 = 265 + 5x

   5x = 500 - 265

   5x = 235

   x = 235/5

   x = 47

She took 47 aerobic classes.    

Step-by-step explanation:

Total Cost is yearly cost + 5 into however many aerobic classes you take.

Find the number of classes by substituting values in the equation.

The preparation of the branch's income statement for Santosh & Co. Chennai is as follows:

Branch of Santosh & Co. Chennai

For the year ended December 31, 2018

Sales revenue            $40,300

Cost of goods sold         4,200

Gross profit                 $36,100

Expenses:

Office expenses $36,000

Salaries                    3,600

Total expenses         $39,600

Loss                             $3,500

An income statement is a financial statement prepared at the end of an accounting period to determine the profit or loss generated by a business or branch.

The profit or loss is the difference between the total revenue and the total expenses for the accounting period.

Credit sales at branch 40,000

Office expenses by Head office 36,000

Cash remittance to branch for petty cash 9,000

Goods sent to Branch 7,200

Salaries paid by head office 3,600

Debtors 31.12.2018 30,000

Petty cash on 31.12.2018 16,200

Cash sales at branch 300

Stock of 31.12.2018 3,000

Sales revenue   $40,300 ($40,000 + $300)

Cost of goods sold $4,200 ($7,200 - $3,000)

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Answer:

a)  0.96 s (2 d.p.)

b)  2.78 s (2 d.p.)

Step-by-step explanation:

Given equation for Period T:

\(T=2 \pi \sqrt{\dfrac{L}{980}\)

Part (a)

Given:

Substitute the given value into the formula and solve for T:

\(\implies T=2 \cdot 3.14 \cdot\sqrt{\dfrac{23}{980}\)

\(\implies T=6.28\dfrac{\sqrt{115}}{70}\)

\(\implies T=\dfrac{157\sqrt{115}}{1750}\)

\(\implies T=0.9620785322\)

\(\implies T=0.96\: \sf s \: \:(2 \:d.p.)\)

Part (b)

Given:

Substitute the given value into the formula and solve for T:

\(\implies T=2 \cdot 3.14 \cdot\sqrt{\dfrac{192}{980}\)

\(\implies T=6.28{\sqrt{\dfrac{48}{245}}\)

\(\implies T=\dfrac{628\sqrt{15}}{875}\)

\(\implies T=2.779695476\)

\(\implies T=2.78\:\sf s \: \:(2\:d.p.)\)

Answer:

Nancy will need 2 spaces each between 1 and 2 and between -1 and -2 on the number line.

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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By HL congruence,  triangle ABC congruent to triangle DEF. Therefore, option D is the correct answer.

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

Consider the given triangles as ABC and DEF.

From the given triangles,

AC=DF=14 in.

BC=EF=20 in.

∠A=∠D=90°

The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.

By HL congruence, ΔABC ≅ ΔDEF

Therefore, option D is the correct answer.

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Answer:

1 gallon=3.79 liters  2 liter juice bottle would hold more

Step-by-step explanation:

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

Answer:

1 : 6

Step-by-step explanation:

Answer:

a. Cookbooks

b. 50%

c. 30%

Step-by-step explanation:

According To the Question,

a. Now, Approximately Cookbooks & Textbooks revenue Form 180°, but textbook revenue is more than cookbooks as clearly visible in the diagram

Thus, cookbooks are less than 90°.

Now, we have to find 1/5th of total publisher revenue which is 360°/5= 72°. & the Cookbooks is nearest to 72° ( less than 90°)

So, Answer For (a) is Cookbooks  

b. Here in Diagram Clearly Visible that The Cookbooks & Textbooks Revenue Form 180° which is Approximately 50% of total Publisher's Revenue.

So, the Total Revenue Comes From Textbooks & Cookbooks is 50%.

c. Now We know the Cookbooks + Textbooks Revenue form 180° Approximately & Cookbook is approximately equal to 72° (as we solve above)

So, textbooks are 180°-72° = 108°, which is 30% of 360° ∴ 30% Revenue Come From Textbooks.

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

The final answer is (a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴.

Pascal's Triangle is a useful tool in expanding binomial expressions, which is a fundamental concept in algebra. For example, let's expand (a+b)⁴ using Pascal's Triangle.

Step 1: Write out Pascal's Triangle to the 4th row, as follows:

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

Step 2: Write out the coefficients in the binomial expression (a+b)⁴:

(a+b)⁴ = 1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

Step 3: Substitute the coefficients from Pascal's Triangle into the binomial expression:

(a+b)⁴ =  1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

=  1a⁴ + 4a³b + 6a²b² + 4ab³ + 1b⁴

= 1(a⁴) + 4(a³b) + 6(a²b²) + 4(ab³) + 1(b⁴)

= (1)(a⁴) + (4)(a³)(b) + (6)(a²)(b²) + (4)(a)(b³) + (1)(b⁴)

Step 4: Simplify the expression to get the final answer:

(a+b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴

Notice how the coefficients of each term in the expanded expression (1, 4, 6, 4, 1) correspond to the fourth row of Pascal's Triangle. Pascal's Triangle provides a quick and easy way to determine the coefficients of a binomial expansion for a given power of the binomial expression.

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Answer:

C(x) = 2x^3 + 2x^2 - 18x - 11

Step-by-step explanation:

Step 1: To model the water used by the car wash on a shorter day, we can subtract the amount of water saved from the original water usage function.

Step 2: Therefore, we can define the new function C(x) as: C(x) = W(x) - D(x)

Step 3: Substituting the given functions for W(x) and D(x), we get: C(x) = (3x^3 + 4x^2 - 18x + 4) - (x^3 + 2x^2 + 15)

3x^3 + 4x^2 - 18x + 4 -x^3 - 2x^3 - 15

Step 4: Simplifying by combining like terms, we get:

C(x) = 2x^3 + 2x^2 - 18x - 11

Step 5: Therefore, the function C(x) that models the water used by the car wash on a shorter day is: C(x) = 2x^3 + 2x^2 - 18x - 11

The percentage of young adults who exercised four or five days a week is 36%

Out of the 25 young adults surveyed, a total of 4 people exercised four days a week and 5 people exercised five days a week. To calculate the percentage of young adults who exercised four or five days a week, we add the number of people who exercised four days a week to the number of people who exercised five days a week, which gives us a total of 9.

We then divide this by the total number of people surveyed (25) and multiply by 100 to get the percentage.

So the percentage of young adults who exercised four or five days a week is

(9/25) x 100 = 36%

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The measure of angle QOB is 90° and the measure of angle COZ is 150°

Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.

The sum of angles on a straight line is 180°

since angle LOB = 150° and line OB is perpendicular to line OQ

Therefore the angle between perpendicular lines is 90°. This means that angle QOB = 90°

Since LOB = 150°,

LOQ = 150-90 = 60°

Since OC is the bisector of angle LOQ,

COQ = 60/2 = 30°

Therefore angle COZ = 30+ 90+30

= 150°

the measure of angle COZ is 150°

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Answer: The measure of angle QOB is 90° and the measure of angle COZ is 150°

Step-by-step explanation:

Answer: 37.68 inches

A frisbee is round so its a circle. And the formula of circumference of a circle is 2πr (r = 6 inches and π = 3.14)

So, 2πr = 2 * 3.14 * 6

2πr = 37.68 inches

The probability that the family has 6 girls if it is known the family has at least one girl is; 3.125%

We are told that each child has the same chance of being a boy or a girl and as such we can say that probability is 1 in 2, or 0.50 or 50%.

Since the family must have at least one girl, if we assume that the first child is a girl, the the probability of the second child being a girl is 50%.

The probability of the other 5 children all being girls is:

(1/2) * (1/2) * (1/2) *(1/2) * (1/2) = 1/32.

This Probability expressed as a decimal or percentage represents a probability that we have as; 1/32 = 0.03125 = 3.125%.

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