I need to know the constant of proportionality for each table and equation. I also need to know what the answer to the question on the bottom is.

Please show your work too. (Important)

Answer:

the forth (7,2).........

Answer:

The parent graph has been dilated by a scale factor of 100 and has been moved to the right by 5 units

Step-by-step explanation:

The change made to f(x) = 1/x to f(x) = 100/x is a dilation by a scale factor of 100(the function has been multiplied by 100) .

The transformation of function f(x) = 100/x to f(x) = 100/x-5 is moving o the right 5 units (whenever a constant, let's call it "c", is being subtracted from the x when graphing, it means the graph has moved "c" units to the right, and vice versa--if "c" was added to x, then the graph would be moved "c" units to the left.).

TL;DR: f(x-c) means c units to the right, f(x+c) means c units to the left. f(x)*c means a dilation of c units.

Answer:

do the answer is 532 ft.

u should be careful not to count the area of the ceiling and the floor of the room!

Answer:

-------------------------

Perimeter of the room:

Area of the four walls:

Sarah can purchase 8 mangoes with all her remaining money

Given that:

Sarah has 21.50 to go grocery shopping

She donates 3.00 to a canvasser for a charity (that is subtraction).

Thus, the remaining money = 21.50 - 3.00 = 18.50

If mangoes cost 2.25. In order to know how many mangoes she can purchase if she uses up all of her remaining money, you have to divide the remaining money (18.50) by the cost of the mangoes (2.25). Thus:

Number mangoes = remaining money /cost of mangoes

Number mangoes = 18.50 / 2.25 = 8

Therefore, she can purchase 8 mangoes if she uses up all of her remaining money

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RIGHT function should be used to extract the last four digits from a column containing phone numbers.

The Excel TEXT functions section includes the RIGHT Function[1]. A predetermined number of characters from the end of a provided text string will be returned by the function.

The RIGHT function can be helpful in the financial analysis if we want to extract characters from a text string's right side. It is typically used in conjunction with functions like VALUE, SUM, COUNT, DATE, DAY, etc.

Formula is=RIGHT(text,[num chars])

The following arguments are used by the RIGHT function:

Text is the original text string (mandatory argument).

The number of characters to be returned from the end of the provided text is specified by the optional argument Num chars. It specifies how many characters will be taken, beginning on the right side of the text. If the argument is omitted, the value of 1 by default is used.

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Answer:

  (1, 4)

Step-by-step explanation:

You want the vertex of the parabola y=2(x-1)²+4.

The vertex form of the equation for a parabola is ...

  y = a(x -h)² +k . . . . . . 'a' is the scale factor; (h, k) is the vertex

Comparing the given equation to the vertex form, we see that ...

  a = 2

  h = 1

  k = 4

Then the coordinates of the vertex are (h, k) = (1, 4).

Answer:

x = [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] = 4x ( multiply both sides by 2 to clear the fraction )

3 = 8x ( divide both sides by 8 )

[tex]\frac{3}{8}[/tex] = x

m= (6- 3)/ (-5 -1)

2x - y + 11= 0

The solution to the expression given as 5x + 3y > 12 has the ordered pair of (3, 0)

From the question, we have the following inequality that can be used in our computation:

5x + 3y > 12

Solving further, we need to collect the like terms

So, the expression becomes

3y > 12 - 5x

Next, we divide through the inequality by 3

So, we have the following representation

y > 12/3 - 5/3x

Evaluate

The equation becomes

y > 4 - 5/3x

At this point, we assume any value for x and then solve for y

Assume that the value of x is 3

So, we have the following representation

y > 4 - 5/3 * 3

Evaluate the products

y > -1

A value greater than -1 is 0

So, we have

x = 3 and y = 0

Express as ordered pairs

(x, y) = (3, 0)

Hence, the ordered pair of the solution is (3, 0)

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1. No This survey does not mean that cell phones are good for your health.

2. The factor that can be used as the best explanation for the strong correlation would be the general economic conditions of the people.

When one variable's value rises, the other variable's value also rises in a similar way. For instance, a student's exam score tends to be greater the more hours they study. Exam results and study time have a significant positive link.

A strong correlation, also known as a high correlation, indicates that two or more variables have a significant relationship with one another, whereas a weak or low correlation indicates that the variables are rarely associated.

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complete question

A survey of the world's nations in 2004 shows a strong positive correlation (hence, a positive association) between percentage of the country using cell phones and life expectancy in years at birth.

a. Does this mean that cell phones are good for your health? select one: ____ yes ____ no

b. What might best explain the strong correlation (as a lurking variable)?

Select one:

_____ Percent of young people

____ General economic conditions of the country

____ Percent of pop. living in cities

Answer:

Let s, c, y and t represent the ages of Sofia, Carlos, Lily and Tony respectively.

c + y = 2s ------ equation (1)

t + 4 = c ------ equation (2)

6t + 1 = y ------ equation (3)

Since Sofia is 38 years old, substitute s = 38 into equation (1):

c + y = 2(38)

        = 76 ------ equation (4)

Substitute equations (2) and (3) into equation (4):

t + 4 + 6t + 1 = 76

          7t + 5 = 76

                7t = 71

∴ t = 10 (to the nearest whole number)

∴Tony is 10 years old (to the nearest whole number).

Answer:

41.2

Step-by-step explanation:

1 is in the tenths place.  Because the number the next number is a five, we must round up and 0.20 is the nearest tenth to 0.153.

The linear factors of the given cubic polynomial are (x-1)(x+4)(x+5).

The linear factors of a polynomial are the first-degree equations that are the building blocks of more complex and higher-order polynomials.

Given a cubic polynomial, x³+8x²+11x-20

x³+8x²+11x-20 = (x-1)(x²+9x+20)

= (x-1)(x²+4x+5x+20)

= (x-1){x(x+4)+5(x+4)}

= (x-1)(x+4)(x+5)

Hence, The linear factors of the given cubic polynomial are (x-1)(x+4)(x+5).

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The interest rate on the account would be 0.4.

What is compound interest?

The interest earned on savings that is computed using both the original principal and the interest accrued over time is known as compound interest.

Compound interest

                  [tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]

Where,

    A = amount,

    P = principal

     t = no. of years

     r = annual interest rate

     n = no of times compounded  in a year.

By putting the values in the equations we get,

                  [tex]5067=4890(1+\frac{r}{10} )^{8.3}\\[/tex]

Solving this, we get

                  [tex]r = 0.356[/tex]

Rounding off to the nearest tenth of a percent we get

                  [tex]r=0.4[/tex]

Hence, the interest rate on the account will be [tex]0.4[/tex].

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The synthetic division (x²+9) by (x-3) has a quotient of x+3 and the remainder of 18

Synthetic division is a way of performing the division of polynomials, with less writing and fewer calculations than the long division method

Given: (x²+9) ÷ (x-3)

The numerator can be written as p(x)= x²+9

The zero of the denominator g(x) is 3         (Note: the sign changed)

The coefficients of p(x) are arranged as follows, with the zero of g(x) on the left:    

           3 |   1   0    9    

              |________

The first coefficient after the bar is "dropped" to the last row.

           3 |   1    0    9      

              |___________

              | 1  

The dropped number is multiplied by the number before the bar, and placed in the next column

          3  |   1     0    9  

              |          3  

              |___________

              | 1  

An addition is performed in the next column

           3 |   1     0    9  

              |          3  

              |___________

              | 1        3

The previous two steps are repeated and the following is obtained:

           3 |   1    0    9  

              |         3    9

              |___________

              | 1      3    18

Here, the last term (18) is the remainder while the rest are the coefficients of the quotient

The terms are written with increasing degree from right to left beginning with degree zero for the remainder and the result

1x + 3 | 18

Where the quotient q(x) = x+3 and the remainder r(x) = 18

Therefore, the quotient is  x+3 and the remainder is 18

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Answer:

Step-by-step explanation:

5 dollars and 25 cents

Answer:

L=66 degrees

KL=3.5

LM=8.7

Answer:

Step-by-step explanation:

5) f(1)= 2x^3-3x^2-2x+a=-4

     2^3- 3^2-2+a= -4

      a=-1

6)b= 42

The total number of students at library using part part whole model is 13.

What is part part whole model ?

  The idea that numbers may be divided into parts, often known as the part-whole model or part-part-whole reasoning, is one that can be used to the study of mathematics. The relationship between the entire number and its component components will be clear to children utilising this model, which will aid learners in connecting addition and subtraction.

Here Number of student who leave library = 6

Number of students who stay at library = 7

Here we have to take  Number of student who leave library as one part and Number of students who stay at library as another part . Then

Total number of students at library at start = 6+7 = 13.

The part part whole model like,

=>        Total = 13

Part=6              Part=7

Hence the Total number of students is 13.

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Answer:

115.226337449

Step-by-step explanation:

84/0.729= 115.226337449

And thank you and your welcome

Answer:  the quotient of 84/0.729 is 115.226337

The new yield strength of the 1040 steel will be the intercept on the curve for 30.56 %of cold work which is between700 to 800 MPA

Given original diameter do = 12 mm

Ao = [tex]\pi[/tex]/4 x 12² = 113.097 mm²

Deformed diameter d =10mm

Ad = [tex]\pi[/tex]/4 x 10² = 78.54 mm²

Degree of cold work %CW = (Ao - Ad/Ao)X 100

                                             =(113. 097 - 78. 54/113.097) x 100

                                             = 30.56%

% CW is 30.56 %

Therefore, the intercept on the curve for 30.56% of cold work, which is between 700 and 800 MPA, will represent the new yield strength of the 1040 steel.

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Answer:

The answer is 24 I think

Step-by-step explanation:

just multipy the numbers

An illustration of "Cluster sampling" is the practice of selecting a random sample of the city's gas stations, and then surveying every station's patrons.

As per the given question.

Thus, an implementation of "Cluster sampling" is the practice of randomizing sample of the city's gas stations, and thereafter surveying every station's patrons.

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Answer:

I can use the given (algebraic expression) 24c+12 to find the total cost of the order

The expression has two (terms). They are 24c and 12

In 24c the number 24 is the (coefficient) and the letter c is the (variable).

The term 24c represents a (product)

To find the total cost of the order I can (evaluate) the given expression

I have to (substitute) the given value for the variable then I can follow the (order of operations) to simplify the expression

24c+12

24(6)+12

144+12

156

The total cost is 156

Hope this helps :)

Answer: f(x)=-.5x-1

Step-by-step explanation:

I believe this is the answer you are looking for. Because if you plug in -10 for x and it gives you 4. Do the same with 8 and you get -5

Hope this helps :)

When there is 580 feet of fencing available to complete the job, the largest possible total area of the 5 pens is 7008.33 feet.

The quantity area expresses the extent of a region on a plane or curved surface.

STEP 1: We know that,

A=x y

The perimeter equals 580feet.

The equation is,

580=6x+2y

Step 2: Solving y terns with x,

y=-3x+290

This information will assist us in obtaining our Area equation in terms of a single variable (just in terms of x).

Step 3: Using the x-y relationship discovered in Step 2, write your Area equation in terms of x only. You should obtain

A=x y

A=x(-3x+290)

A=-3x²+290x

Step 4: Derive the area equation,  A' = -6x+290

Step 5: Set A' = 0

-6x+290=0

x=290/6

x=48.33

Step 6: Find y by substituting 48.33 in x in the perimeter equation then,

y=-3(48.33)+290

y=145.01

Step 7:  A=x y

A=(48.33)(145.01)

A=7008.33 feet

The largest possible total area of the 5 pens is 7008.33 feet

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Answer:

weight = 57 Kg

Step-by-step explanation:

We require to find the length of the diagonal (d) piece of metal

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )

d = [tex]\sqrt{100}[/tex] = 10

the length of the 5 pieces is then

8 + 8 + 6 + 6 + 10 = 38 m

the total weight of the 5 pieces is then

weight = 38 × 1.5 Kg = 57 Kg

Answer:

no solution

Step-by-step explanation:

12=-4(-6x-3)

12=24x+12

0=24x

The distance from B to AC can be constructed as shown in the figure.

The distance from G to EF can be constructed as shown in the figure.

The distance from Q to SR can be constructed as shown in the figure.

What is the distance of a line from a point?

A point-to-line distance is the shortest distance from a point to any point on an infinite line. This is the perpendicular distance from the point to the line and the length of the line segment connecting the point to the nearest point on the line.

For the figure 1, the distance from B to AC, will be the perpendicular line through point B on side AC, so side BD will be the distance.

For the figure 2, the distance from G to EF, will be the perpendicular line through point G on side EF, so side GH will be the distance.

For the figure 1, the distance from Q to SR, will be the perpendicular line through point Q on side SR, so side QT will be the distance.

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