Find an
for a line parallel to
4x + 5y + 2 = 0, with an
an x-intercept of 3

As per given data of living children under 18 years of age , percent of children whose age is under 18 years lived with their mother only is equal to 39.3%.

As given in the question,

Let us consider 100% be the total percent representing the living status of children under 18 years of age

Given:

Percent of children living with both the parents = 49.2%

Percent of children living with only father = 8%

Percent of children living with neither of the parents = 3.5%

Let us consider percent of children living with only mother = x%

Required equation is:

( x + 49.2 + 8 + 3.5 )% = 100%

⇒ x + 60.7% = 100%

⇒ x = 100 - 60.7

⇒ x = 39.3%

Therefore, for the given data of living children under 18 years of age , percent of children whose age is under 18 years lived with their mother only is equal to 39.3%.

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The linear function that models the data-set is given as follows:

v = 4 + 0.4x.

The slope-intercept representation of a linear function is presented as follows:

y = mx + b

The coefficients of the function and their meaning are obtained as follows:

For this problem, the values of these parameters are given as follows:

Hence the equation is given as follows:

v = 4 + 0.4x.

The table is given by:

Money Spent (x) $0 $20 $40 $60

Pounds of Food (v) 4 12 20 28

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The image of the point (3, 6) by means of the translation formula described in the statement is (5, 1).

Herein we find the coordinates of an ordered pair set on Cartesian plane, whose image has to be found by using a rigid transformation formula known as translation formula, whose definition is described and explained below:

P'(x, y) = P(x, y) + T(x, y)

Where:

If we know that P(x, y) = (3, 6) and T(x, y) = (2, - 5), then the image of the original point according to the translation formula is now determined:

P'(x, y) = (3, 6) + (2, - 5)

P'(x, y) = (3 + 2, 6 - 5)

P'(x, y) = (5, 1)

The image of the point by translation formula is (5, 1).

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Assuming no deposits or withdrawals are made,  the amount in the  account after 19 years is: 11,454. 133.

Using this formula

A = P(1+r/100)ⁿ

Where:

A = Amount =?

P = Principal = $4700

r = Interest rate =4.8%

n = the number of periods =19 years

Let plug in the formula

A = 4,700 (1 + 4.8/100)¹⁹

A = 4,700 (1 + 0.048)¹⁹

A = 4,700 (1.048)¹⁹

A = $11,454. 133

Therefore the amount is $11,454. 133.

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Answer:

Angle CEB

Step-by-step explanation:

They are vertical angles

:]

Answer:

I believe it's 18x2(14x + 7)

Step-by-step explanation:

I took the test :)

18x² + 14x + 7 ( may be expressed in any order )

= 14x +18x² + 7

Answer:

12-12-12+i-12+i =0-i

.

.

.

,

The zeros of the function are-

The given expression is-

f(x)=(x-10)^2-49

To find the zero put f(x) = 0.

(x-10)^2-49 = 0

Including both sides of an equation, add 49.

(x-10)^2 - 49 + 49 = 49

(x-10)^2  = 49

To remove the exponent upon that left side of the equation, take the appropriate root of both sides.

x - 10 = ±√49

x - 10 = ±7

Solve each case;

a:  x - 10 = + 7

x = 7 + 10

x = 17 (greatest number)

b: x - 10 = - 7

x = -7 + 10

x = 3 (lesser value)

Thus, the zeros of the function are 3 and 17.

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The equation of the line with slope -1/7 is (y-3) = -1/7(x-3).

According to the question,

We have the following information:

Slope of the line = -1/7

Points through which line is passing = (3,3)

We know that the following formula is used to find the equation of the line:

(y-y') = m(x-x') where m is the slope of the line

In this case, we have x' = 3 and y' = 3.

(y-3) = -1/7(x-3)

This expression can be solved further by multiplying -1/7 into the bracket and then by moving 3 from the left hand side to the right hand side. Then this equation will be in slope-intercept form.

Hence, the correct option is B.

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The sum of consecutive odd cubes of 8128 is 1³+3³+5³+7³+9³+11³+13³+15³

Therefore, 1+27+125+343+729+1331+2197+3375=8128

Consecutive numbers are those that come after each other in descending order from the smallest to the largest. The difference between consecutive numbers is always fixed and follows a predictable pattern. For example, the first three consecutive natural numbers are 1, 2, 3. The simplest way to find consecutive numbers is to look at the number set and find the number that is either before or after the term of interest.

We know that consecutive odd numbers are 1,3,5,7,9,11,13,15,17..

Here 8128 is a perfect square

And it can be written as the sum of consecutive odd cubes as follows:

1³=1

3³=27

5³=125

7³=343

9³=729

11³=1331

13³=2197

15³=3375

The sum of consecutive odd cubes of 8128 is

=1³+3³+5³+7³+9³+11³+13³+15³

=1+27+125+343+729+1331+2197+3375

=8128

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The probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is 0.5278

The uniform distributed between a and b minutes.

The probability of finding a value above x is:

P(X > x) = [tex]\frac{b-x}{b-a}[/tex]

The time is evenly distributed between 0 and 9 minutes.

This implies that a=0 , b=9

Determine the likelihood that a randomly selected passenger will have to wait longer than 4.25 minutes.

p(X > 4.25) = [tex]\frac{9-4.25}{9-0}[/tex]

                 = 0.5278

There is a 52.78% chance that a randomly selected passenger will have to wait longer than 4.25 minutes.

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[tex]{ \boxed{ \orange{ \sf{421.875 \: {cm}^{3}}}}} [/tex]

Step-by-step explanation:-

[tex]{ \red{ \sf{Volume \: of \: the \: cube }}} = { \green{ \sf{ {a}^{3}}}} [/tex]

[tex]{ \red{ \sf{Volume \: of \: the \: cube } = }} \: \: { \green{ \sf{7.5 \times 7.5 \times 7.5}}}[/tex]

[tex]{ \red{ \sf{Volume \: of \: the \: cube = { \green{ \sf{56.25 \times 7.5}}}}}}[/tex]

[tex]{ \boxed{ \sf{Volume \: of \: the \: cube = 421.875 {cm}^{3}}}} [/tex]

$21.00

25% off 28= 7

28-7=21

Answer: x∈(-3,-1)

Step-by-step explanation:

13<-5x+8<23

13-8<-5x+8-8<23-8

5<-5x<15

Divide the double inequality by 5:

1<-x<3

Multiply the double inequality by -1:

-1>x>-3

Thus, x∈(-3,-1)

Answer:

Step-by-step explanation:

(4-3)/(2-1= 1/1 = slope = 1

y =(1)x + b,  plug in either point to solve for b

3 = 1 +b

b = 2

Answer:

Multiples of 2 = 2, 4, 6, 8, 10, 12

Multiples of 3 = 3, 6, 9, 12, 15,18

The LCM is 6.

Step-by-step explanation:

Answer:

21. A basket holds n apples. You pick (2n - 3) apples, and your friend picks

(n+4) apples. How many apples do you and your friend pick together?

How many baskets do you need to carry all the apples? Justify your answer.

Step-by-step explanation:

(2n - 3)(n + 4) binomial times a binomial equals

2n^2 + 5n - 12

Answer: x= 1

Step-by-step explanation:

The missing number to complete the proportion is 1

Proportion defines that the two given ratios are equivalent to each other. That is two ratios (or fractions) are equal e.g 2:6 = 1:3

Given: 14 seats in 2 rows = 7 seats in ___rows

If each row in a classroom has equal seats. If there are 14 seats in 2 rows of the classroom then we can say there are 7 seats in each row (1 row).

Thus, 14 seats in 2 rows = 7 seats in 1 row

Therefore,  the missing number to complete the proportion is 1. You should type 1

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Answer:

Domain: {-1,0,1,4}

Range: {3,5,35}

Step-by-step explanation:

The domain is the set of x values while range is the set of y values

Here, the set of x values would be -1 , 0 , 1 and 4

And the y values would be 5, 3, 5, and 35

When writing the domain and range, you put the values into brackets "{}" and put them in order from least to greatest. Also if there are repeated values you do not repeat them, you only put them once.

This means that the domain would be {-1,0,1,4}

And the range would be {3,5,35}

it represents a distance between observed and predicted values

What is residual?

A residual in statistics is the discrepancy between an observed value and a value that was predicted.

Typically, the anticipated value is based on a model, like a linear regression model. The prediction error is represented by a residual, which can be either positive or negative. A positive residual indicates a difference between the observed and expected values, whereas a negative residual indicates the opposite. Specifically, the residual's absolute value is the distance between the observed value and the predicted value.

For evaluating a model's correctness, residuals are crucial. The residuals should be randomly distributed in the vicinity of zero if the model is valid. The residuals will be biased either in favor of or against the null hypothesis if the model is not accurate. A model's goodness of fit can also be evaluated using the residual. Relatively small residuals characterize a model with a high goodness of fit. Remainders that are far from zero will be present in a model with a low goodness of fit.

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The correct statement regarding the solution of the inequality 8x - 6 < 3x + 19 is given as follows:

D. She knows that the solution must be either all the values less than 5 or all the values greater than 5.

The inequality is presented as follows:

8x - 6 < 3x + 19.

Lin finds the value of x = 5 for which the two sides of the inequality are equal. Then, there are only two cases for the solution, which are listed as follows:

Thus option D gives the correct option regarding how to find the solution.

The justifications for the other options being wrong are given as follows:

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Answer:

I think its D.... id/k I think it is.

Step-by-step explanation:

Given that Phil takes 3 times as long as Meredith to complete the work . Let us take Meredith takes x hrs to complete the work, the Phil will do that work in 3x hrs . Now it is given that they together complete the work in 12hrs . So ,

[tex]\longrightarrow \dfrac{1}{x}+\dfrac{1}{3x}=\dfrac{1}{12}\\ [/tex]

[tex]\longrightarrow \dfrac{3+1}{3x}=\dfrac{1}{12} \\[/tex]

[tex]\longrightarrow \dfrac{4}{3x}=\dfrac{1}{12}\\[/tex]

[tex]\longrightarrow x =\dfrac{(4)(12)}{3}\\[/tex]

[tex]\longrightarrow x = 16\ hrs [/tex]

Hence,

And we are done!

From the data in the table relating time and depth, we have that:

a) The scatter plot is graphed at the end of the answer.

b) The scatter plot has negative correlation.

c) The estimate for the depth at a time of 15 seconds is of 50.37 cm.

The scatter plot is built inserting all the points of the table in a graph, which are in the following format:

(Time in seconds, Depth in cm).

Hence the scatter plot will be composed by a set of points, without an image, as is shown at the end of the answer.

The points from the table are listed as follows:

(2, 47), (4, 41), (6, 38), (8, 37), (10, 32), (12, 24), (14, 20), (16, 19).

As the input variable time increases, the output variable depth decreases, meaning that the points in the scatter plot also follow the format of a decreasing line, hence there is negative correlation in the scatter plot.

These points are also inserted into a linear regression calculator to built the line of best fit, which is defined as follows:

y = -2.07x + 50.89.

At 15 seconds, the estimate is obtained replacing the lone instance of x in the equation by 15, hence:

y = -2.07 x 0.25 + 50.89 = 50.37 cm.

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If Lines J and k are perpendicular. The slope of line k is 3, the slope of line j is -1/3

When two lines are perpendicular to each other, the product of their slope results in -1

slope of line j x slope of line k = -1

slope of line j x 3 = -1

slope of line j  is 1/3

Therefore, if Lines J and k are perpendicular. The slope of line k is 3, the slope of line j is -1/3

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34 students red is their favorite color

2 out of 7 of the pupils in year 9 say their favourite colour is red

Fraction of pupil that say red is their favorite colour is 7/9

There are 119 pupils in year 9

We need to calculate the number of students out of 119 that would say that their favourite colour is red

To find that,

we multiply the fraction of students that like red with the total number of students

2/7 * 119

= 34

Therefore, if 2 out of 7 of the pupils in year 9 say their favourite colour is red. Then 34 out of 119 pupil will say that their favourite colour is red.

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The two points that are collinear with the point D are points A and B which are on the same plane, K, as the point D

Collinearity of a set of points in geometry is the property of their being on a single line. A set of points with this property is known as a collinear set. In a broader sense, the term has been applied to aligned objects, that is, things that are "in a line" or "in a row."

If two or more points lie on the same line, they are said to be collinear in geometry. As a result, collinear points are the points that lie on a single straight line.

Therefore, the points are A and B.

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Points scored by the last player is 10 points. this can be calculated by using BODMAS rule by forming equation.

What is an equation ?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

Main body:

Points scored by 4 players = 6 each

Total points scored by 4 players = 4*6

                                                      = 24

Total points scored by team = 34

Points scored by last player or 5th player = total points - points scored by 4 players

Points scored by 5th player = 34-24

                                              = 10

Hence point scored by last player is 10.

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Answer:

67%

Step-by-step explanation:

[tex]\frac{268}{400}[/tex] X 100

Answer:

67%

Step-by-step explanation:

268 ÷ 400 = 0.67 = 67%