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Answer:

785

Step-by-step explanation:

You see:

544

+ 214

758

The level of measurement for the variable "Number of siblings" is a ratio, as it has a true zero point (i.e., having no siblings) and the values can be compared using ratios (e.g., having twice as many siblings as another person).

The level of measurement for a variable refers to the nature of the data and the mathematical properties that can be applied to them. The variable "Number of siblings" is a quantitative variable that can be measured on a ratio scale.

A ratio scale has a true zero point, meaning that having zero siblings is a meaningful and valid response. Additionally, the values can be compared using ratios, such as having twice as many siblings as another person.

This information is important in statistical analysis, as different levels of measurement require different methods of analysis and have different implications for interpreting the results.

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The y intercept is what is added at the end.

The y intercept is 64

This is his base pay amount, the amount he gets paid even if he doesn’t sell anything.

Answer:

Step-by-step explanation:

The United States Declaration of Independence, officially The unanimous Declaration of the thirteen united States of America, is the pronouncement and founding document adopted by the Second Continental Congress meeting at Pennsylvania State House, which was later renamed Independence Hall, in Philadelphia, Pennsylvania, on July 4, 1776. Enacted during the American Revolution, the Declaration explains why the Thirteen Colonies at war with the Kingdom of Great Britain regarded themselves as thirteen independent sovereign states and no longer subject to British colonial rule. With the Declaration, the 13 states took a collective first step in forming the United States and, de facto, formalized the American Revolutionary War, which had been ongoing since April 1775.

The Declaration of Independence was signed by 56 of America's Founding Fathers who Second Continental Congress delegates from New Hampshire, Massachusetts Bay, Rhode Island and Providence Plantations, Connecticut, New York, New Jersey, Pennsylvania, Maryland, Delaware, Virginia, North Carolina, South Carolina, and Georgia. The Declaration became one of the most circulated and widely reprinted documents in early American history.

The Committee of Five drafted the Declaration to be ready when Congress voted on independence. John Adams, a leading proponent of independence, persuaded the Committee of Five to charge Thomas Jefferson with authoring the document's original draft, which the Second Continental Congress then edited. The Declaration was a formal explanation of why the Continental Congress had voted to declare its independence from Great Britain, a year after the American Revolutionary War broke out. The Lee Resolution for independence was passed unanimously by the Congress on July 2.

After ratifying the text on July 4, Congress issued the Declaration of Independence in several forms. It was initially published as the printed Dunlap broadside that was widely distributed and read to the public. Jefferson's original draft is currently preserved at the Library of Congress in Washington, D.C., complete with changes made by Adams and Benjamin Franklin, and Jefferson's notes of changes made by Congress. The best-known version of the Declaration is the signed copy now displayed at the National Archives in Washington, D.C., which is popularly regarded as the official document. This engrossed copy was ordered by Congress on July 19 and signed primarily on August 2, 1776.[2][3]

The sources and interpretation of the Declaration have been the subject of much scholarly inquiry. The Declaration justified the independence of the United States by listing 27 colonial grievances against King George III and by asserting certain natural a

\( \sf \longrightarrow \: {x}^{2} + 21x + 50 = 6x\)

\( \sf \longrightarrow \: {x}^{2} + 21x - 6x+ 50 =0\)

\( \sf \longrightarrow \: {x}^{2} + 15x+ 50 =0\)

\( \sf \longrightarrow \: {x}^{2} + 10x + 5x+ 50 =0\)

\( \sf \longrightarrow \: x(x + 10) + 5(x + 10) =0\)

\( \sf \longrightarrow \: (x + 10) (x + 5) =0\)

\( \sf \longrightarrow \: (x + 10) = 0 \qquad \: and \: \qquad(x + 5) =0\)

\( \sf \longrightarrow \: x + 10 = 0 \qquad \: and \: \qquad \: x + 5=0\)

\( \sf \longrightarrow \: x = 0 - 10\qquad \: and \: \qquad \: x = 0 - 5\)

\( \sf \longrightarrow \: x =-10 \qquad \: and \: \qquad \: x = - 5\)

It would take Dan m/400 hours to travel 400 miles.

1. We are given that Dan travels at a speed of m miles per hour.

2. To calculate the time it would take for Dan to travel 400 miles, we need to use the formula:

  Time = Distance / Speed.

3. Substitute the given values into the formula:

  Time = 400 miles / m miles per hour.

4. Simplify the expression:

  Time = 400/m hours.

5. Therefore, it would take Dan m/400 hours to travel 400 miles.

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The area of the trapezoid is multiplied by a factor of 4 when both bases and the height are doubled.

Trapezoids can be defined as quadrilaterals that have two parallel sides and two non-parallel sides.

The area of a trapezoid is given by the formula:

A = (b1 + b2) * h / 2

Where

If we double both bases and the height, we get:

b1' = 2 * b1 = 2 * 5 mm = 10 mm

b2' = 2 * b2 = 2 * 7 mm = 14 mm

h' = 2 * h = 2 * 6 mm = 12 mm

Now we can calculate the area of the new trapezoid:

A' = (b1' + b2') * h' / 2

A' = (10 mm + 14 mm) * 12 mm / 2

A' = 12 * 12 mm^2

A' = 144 mm^2

Therefore, the area of the trapezoid is multiplied by a factor of 4 when both bases and the height are doubled.

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Answer:

Yes

Step-by-step explanation:

If you graph it... and they intersect there is a sloution.

soloution!:y=0

x=-1.5

Answer:

5 units

Step-by-step explanation:

the length of CD can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

3² + 4²

= 9 + 16

= 25

the square root of 25 is 5

Answer:

D

Step-by-step explanation:

Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica

Answer: For stamped, the answer is $25.96. For One Crazy Summer, the answer is $20.49. For A Girl Named Summer, the answer is $26.49.

Step-by-step explanation:

The equation is simple. Add the $3.99 to the original price, then add 13%.

X+3.99+13%, and X equals the original price.

Hope this helps!

Answer:

Option C: Jayce's fee for his 10th drive is equal to K dollars is the correct answer.

Step-by-step explanation:

Given that:

M(n) models Jayce's fee (in dollars) for his nth drive on a certain day.

Here,

n means the number of drive.

The statement is given

M(10) = K

10 represents the nth drive of Jayce's.

Therefore,

The given statement represents Jayce's fee for his 10th drive is equal to K dollars.

Hence,

Option C: Jayce's fee for his 10th drive is equal to K dollars is the correct answer.

Step-by-step explanation:

i)=

m=2/3

x=-3

y = 5

now

y=mx+c

or, 5 = 2/3× -3 + c

or, 5 = -2+c

c =7

now,

y= mx + c

or, y = 2/3×x+7

or, y = 2x/3+7

or, 3y = 2x+21

so, 3y-2x=21

equation would be 3y-2x=21.

now

ii)=

if slope of 3y-2x=21 and 2x-3y = 0 are same, they are parallel.

2x-3y = 0

2x = 3y

lets suppose x is 9

now

2x=3y

2×9 = 3y

or, 18 = 3y

so, y = 6

one coordinate would be (9,6) now

lets again suppose x is 3

2x=3y

2×3 = 3y

or, 6 = 3y

so, y = 2

another coordinate is (3,2)

now lets find slope

x1=9,y1=6

x2=3,y2=2

slope = (y2-y1)/(x2-x1)

= (2-6)/(3-9)

= -4/-6

= 2/3

Since, slope of 3y-2x=21 and 2x-3y has same slope 2/3, they are parallel.

Main Answer:The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

Supporting Question and Answer:

How can we express a vector as a linear combination of  vectors using a system of equations?

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

   2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Final Answer:Therefore,the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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The linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

To express a vector as a linear combination of  vectors using a system of equations, we need to find the coefficients that multiply each given vector to obtain the desired vector. This can be done by setting up a system of equations, where each equation corresponds to the components of the vectors involved.

Body of the Solution:

(a) To show that the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3, we need to demonstrate two conditions: orthogonality and linear independence.

Orthogonality: We need to show that each pair of vectors is orthogonal, meaning their dot product is zero.

u1 · u2 = (2)(-3) + (0)(0) + (3)(2) = -6 + 0 + 6 = 0

u1 · u3 = (2)(0) + (0)(7) + (3)(0) = 0 + 0 + 0 = 0

u2 · u3 = (-3)(0) + (0)(7) + (2)(0) = 0 + 0 + 0 = 0

Since the dot product of every pair of vectors is zero, they are orthogonal.

  2.Linear Independence: We need to show that the vectors u1, u2, and u3 are linearly independent, meaning that no vector can be written as a linear combination of the other vectors.

We can determine linear independence by forming a matrix with the vectors as its columns and performing row operations to check if the matrix can be reduced to the identity matrix.

[A | I] = [u1 | u2 | u3 | I] =

[2 -3 0 | 1 0 0]

[0 0 7 | 0 1 0]

[3 2 0 | 0 0 1]

Performing row operations:

R3 - (3/2)R1 -> R3

R1 <-> R2

[1 0 0 | -3/2 1 0]

[0 1 0 | 0 1 0]

[0 0 7 | 0 0 1]

Since we can obtain the identity matrix on the left side, the vectors u1, u2, and u3 are linearly independent.

Therefore, the vectors u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) form an orthogonal basis for R^3.

(b) To write v = (1, 2, 3) as a linear combination of u1, u2, and u3, we need to find the coefficients x, y, and z such that:

v = xu1 + yu2 + z*u3

Substituting the given vectors and coefficients:

(1, 2, 3) = x(2, 0, 3) + y(-3, 0, 2) + z(0, 7, 0)

Simplifying the equation component-wise:

1 = 2x - 3y

2 = 7y

3 = 3x + 2y

From the second equation, we can solve for y:

y = 2/7

Substituting y into the first equation:

1 = 2x - 3(2/7)

1 = 2x - 6/7

7 = 14x - 6

14x = 13

x = 13/14

Substituting the found values of x and y into the third equation

3 = 3(13/14) + 2(2/7)

3 = 39/14 + 4/7

3 = 39/14 + 8/14

3 = 47/14

Therefore, we have determined the values of x, y, and z as follows:

x = 13/14

y = 2/7

z = 47/14

Thus, we can write the vector v = (1, 2, 3) as a linear combination of u1 = (2, 0, 3), u2 = (-3, 0, 2), and u3 = (0, 7, 0) as:

v = (13/14)u1 + (2/7)u2 + (47/14)u3

Therefore, v can be expressed as a linear combination of the given vectors.

Therefore, the linear combination of v = (13/14)u1 + (2/7)u2 + (47/14)u3  

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Answer:

Yes, the distance and time is a proportional relationship. The constant of proportionality is 65.  X*65 = y.

Step-by-step explanation:

Answer:

1. x=2

2. x= -4

3. x= -7

4. x = -4

Step-by-step explanation:

hope this helps :)

Answer:

the first one is x=2 the second one is x=-4 the third one is x= -7the fourth one is x=4

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

simplify(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

Step-by-step explanation:

derivative(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

limit(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

taylor_series_expansion(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

antiderivative(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

integral(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

equation_solver(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4))=0)

simplify(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))

The width of the driveway is 5x-2 and the height of the carport is 6x+1.

a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

The area of a rectangle is given by length × width.  Since the area is 5x²+43x-18 and the length is x+9, to find the width, we divide:

he first term of the quotient will be the number of times x goes into 5x².  It goes 5x times; multiply this by the divisor, and we have 5x²+45x to write under the first two terms of the dividend. Subtracting these, we have -2x left over bring down the -18.  The second term of the quotient will be the number of times x+9 goes into -2x-18, it goes -2 times.  Multiply this by the divisor, and we have -2x-18 with no remainder.  This gives the quotient 5x-2.

The volume of the carport is given by the area of the base × height, since the volume is 48x³+68x²-8x-3 and the area of the base is 8x²+10x-3, we divide to get the height.

The first term of the quotient will be the number of times 8x² goes into 48x³.  It goes 6x times; multiply this by the divisor and we have 48x³+60x² to write under the first two terms of the dividend.

Subtract these and we have 8x²+10x left over bring down the -3.  The second term of the quotient will be the number of times 8x² goes into 8x²; it goes 1 time.  Multiply this by the divisor and we have 8x²+10x-3 with no remainder.  This makes the height 6x-3.

Hence, The width of the driveway is 5x-2 and the height of the carport is 6x+1.

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Answer:

i think A

Step-by-step explanation:

Answer:

The answer is c, I don't know how I'm supposed to show a graph, if that's what you wanted

Step-by-step explanation:

Answer:

48 I think

Step-by-step explanation:

12+12+12+12=48

or 12 x 4=48

Answer:

48

Step-by-step explanation:

12+12+12+12 = 48

or

12x4=48

Answer:

Step 1: Obtain the mean and standard deviation of the weights of packs of chewing gum. The weights of packs of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation 2.- grams. Step 2: Obtain the z-score of the randomly selected pack of gum. The z-score of the randomly selected pack of gum is 3.11. Step 3: Determine which of the following statements is true: The weight of this pack of gum is lighter than the mean weight by 3.11 standard deviations The weight of this pack Of gum is heavier than the mean weight by 3.11 standard deviations The weight of this pack Of gum is lighter than the mean weight by 2.4 standard deviations The weight of this pack Of gum is heavier than the mean weight by 2.4 standard deviations

Answer:

10

13

15

17

22

Step-by-step explanation:

the first 5 terms will be 1,2,3,4 and 5.

I guess...

Answer:

a1 = 10

a2 = 13

a3 = 16

a4 = 19

a5 = 22

Step-by-step explanation:

Substitute in the value of  n  to find the  n

th term.

a1 = 3 (1) + 7

3 + 7 = 10

a2 = 3 (2) + 7

6 + 7 = 13

a3 = 3 (3) + 7

9 + 7 = 16

a4 = 3 (4) + 7

12 + 7 = 19

a5 = 3 (5) + 7

15 + 7 = 22

good luck, hope this helps :)

Answer:

2+2 equals 4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The correct answer is a male with one recessive allele.

The person labelled X is not shaded, as can be seen from the pedigree, hence it cannot bear the alleles rr. As a result, the individual is heterozygous, carrying both a dominant and a recessive allele.

here, we have,

Explanation:

As we can see, a homozygous recessive parent and a heterozygous parent are crossed to produce the offspring.

These are the results of such a cross:

       r      r

R      Rr    Rr

r       rr     rr

The results of the cross indicate that the progeny from such a hybrid will either be heterozygous dominant with unattached ear lobes or they will have both recessive alleles with attached ear lobes.

The person labelled X is not shaded, as can be seen from the pedigree, hence it cannot bear the alleles rr. As a result, the individual is heterozygous, carrying both a dominant and a recessive allele.

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complete question:

Attached earlobes are a recessive trait in humans. In the tree below, people

I with attached earlobes are shaded in. Which best describes the person

labeled X in the tree?

A. A male with one recessive allele

B. A female with one recessive allele

C. A male with no recessive alleles

D. A female with no recessive alleles

A data set's attributes are enumerated through descriptive statistics. You can use inferential statistics to test a hypothesis or determine whether your data can be applied to a larger population.

Descriptive statistics concentrate on describing the features of a dataset that are readily evident (a population or sample). In contrast, inferential statistics concentrate on drawing conclusions or generalisations from a sample of data in a larger dataset.

The information from a research sample is described and condensed using descriptive statistics. We can draw conclusions about the larger population from which we drew our sample using inferential statistics.

The area of statistics known as descriptive statistics is focused on providing a description of the population being studied. A type of statistics known as inferential statistics concentrates on inferring information about the population from sample analysis and observation.

Hence we get the required answer.

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Jordan would take 22 hours to drive 1,188 miles at the same speed he drove 378 miles in 7 hours.

We can use the formula:

time = distance / speed

where speed is constant, to find the time it would take Jordan to drive 1,188 miles.

The speed at which Jordan drove can be calculated as:

speed = distance / time

where distance is 378 miles and time is 7 hours.

speed = 378 / 7 = 54 miles per hour

Now, we can use the speed to find the time it would take to drive 1,188 miles:

time = distance / speed = 1,188 / 54 = 22 hours

Therefore, if Jordan can maintain the same pace, it would take him 22 hours to drive 1,188 miles.

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