When converted to a household measurement, 9 kilograms is approximately equal to a

Answer:

y = (5/2)x - 18

Step-by-step explanation:

plug in the x, y, and m into the formula y=mx+b, solve for b, and create the formula y = (5/2)x - 18

\(y=mx+b\)

We're given:

Plug the slope, \(\dfrac{5}{2}\), into \(y=mx+b\):

\(y=\dfrac{5}{2}x+b\)

Now, to solve for b, plug in the given point (4, -8):

\(-8=\dfrac{5}{2}(4)+b\\\\-8=10+b\\b=-18\)

Plug this into our equation:

\(y=\dfrac{5}{2}x-18\)

\(y=\dfrac{5}{2}x-18\)

Answer:

to convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) : x = r × cos( θ ) y = r × sin( θ )

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

x² − 36 = 5x

x² − 5x − 36 = 0

(x − 9) (x + 4) = 0

x = 9 or -4

Answer:

x3−12x2+38x−17x−7=x2−5x+3+4x−7           Brainliest pls???

Step-by-step explanation:

Write the problem in the special format:

x−7  

x3 −12x2 +38x −17

Step 1

Divide the leading term of the dividend by the leading term of the divisor:

x3

x

=x2.

Write down the calculated result in the upper part of the table.

Multiply it by the divisor: x2(x−7)=x3−7x2.

Subtract the dividend from the obtained result: (x3−12x2+38x−17)−(x3−7x2)=−5x2+38x−17.

x2  

x−7  

x3 −12x2 +38x −17

x3

x

=x2

−  

x3 −7x2

−5x2 +38x −17

x2(x−7)=x3−7x2

Step 2

Divide the leading term of the obtained remainder by the leading term of the divisor:

−5x2

x

=−5x.

Write down the calculated result in the upper part of the table.

Multiply it by the divisor: −5x(x−7)=−5x2+35x.

Subtract the remainder from the obtained result: (−5x2+38x−17)−(−5x2+35x)=3x−17.

x2 −5x  

x−7  

x3 −12x2 +38x −17

−  

x3 −7x2

−5x2 +38x −17

−  

−5x2 +35x

3x −17

−5x2

x

=−5x

−5x(x−7)=−5x2+35x

Step 3

Divide the leading term of the obtained remainder by the leading term of the divisor:

3x

x

=3.

Write down the calculated result in the upper part of the table.

Multiply it by the divisor: 3(x−7)=3x−21.

Subtract the remainder from the obtained result: (3x−17)−(3x−21)=4.

x2 −5x +3

x−7  

x3 −12x2 +38x −17

−  

x3 −7x2

−5x2 +38x −17

−  

−5x2 +35x

3x −17

−

3x −21

4

3x

x

=3

3(x−7)=3x−21

Since the degree of the remainder is less than the degree of the divisor, then we are done.

The resulting table is shown once more:

x2 −5x +3

 Hints

x−7  

x3 −12x2 +38x −17

x3

x

=x2

−  

x3 −7x2

−5x2 +38x −17

−  

−5x2 +35x

3x −17

−

3x −21

4

x2(x−7)=x3−7x2

−5x2

x

=−5x

−5x(x−7)=−5x2+35x

3x

x

=3

3(x−7)=3x−21

Therefore,

x3−12x2+38x−17

x−7

=x2−5x+3+

4

x−7

Answer:

x3−12x2+38x−17

x−7

=x2−5x+3+

4

x−7

Answer:

D

Step-by-step explanation:

Answer:C and D

Step-by-step explanation:

7x^2-42x=0

First find the highest common factor of 7x^2 and 42x

7x^2=7 x X x X

42x=2 x 3 x 7 x X

Highest common factor is 7x

7x(x-6)=0

7x=0. or x-6=0

x=0. or x=6

Answer: the slope of side -3/5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

Answer:

Step-by-step explanation:

Use ratios of corresponding sides:

Substitute and solve for x:

Find the length of RS:

Answer:

The third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Step-by-step explanation:

Given

As the sequence is given by

Tₙ = n² + 2n

To determine

The third term of the sequence

The third term of the sequence can be determined by substituting n = 3 in the sequence

Tₙ = n² + 2n

T₃ = (3)² + 2(3)

T₃ = 9 + 6

T₃ = 15

Therefore, the third term of the sequence Tₙ = n² + 2n is:

T₃ = 15

Answer: 1,55

Step-by-step explanation:

3/4 - (- 4/5) = 3/4 + 4/5 =  (3x5)/20  + (4x4)/20 = 15/20  +  16/20 =  31/20 = 1,55

3/4 - (- 4/5)  = 3/4  +  4/5 = 0,75 + 0.8 = 1,55  

Answer:

x = 8°

Step-by-step explanation:

∠GJL = ∠WJZ = 90° - 18° = 72° (cross angles)

(9x)° = 72° / : 9

x = 8°

Answer:

x = 8

Step-by-step explanation:

Find the measure of angle WJZ.

Since angles on a straight line sum to 180°:

⇒ m∠GJH + m∠HJW + m∠WJZ = 180°

⇒ 90° + 18° + m∠WJZ = 180°

⇒ 108° + m∠WJZ = 180°

⇒ 108° + m∠WJZ - 108° = 180° - 108°

⇒ m∠WJZ = 72°

According to the Vertical Angles Theorem, when two straight lines intersect, the opposite vertical angles are congruent.

Since line GJZ and line LJW intersect, then ∠GJL and ∠WJZ are vertical angles and therefore congruent:

⇒ m∠GJL = m∠WJZ

⇒ (9x)° = 72°

⇒ 9x = 72

⇒ 9x ÷ 9 = 72 ÷ 9

⇒ x = 8

Therefore, the value of x is 8.

Answer:

Part A: 23

Part B: n < 77

Step-by-step explanation:

Answer:

3[x + 3(4x – 5)] = (39x-15)

Step-by-step explanation:

The given expression is : 3[x + 3(4x – 5)]

We need to find the equivalent expression for this given expression. We need to simplify it. Firstly, open the brackets. So,

\(3[x + 3(4x -5)]=3[x+12x-15]\)

Again open the brackets,

\(3[x+12x-15]=3x+36x-45\)

Now adding numbers having variables together. So,

\(3[x + 3(4x - 5)]=39x-15\)

So, the equivalent expression of 3[x + 3(4x – 5)] is (39x-15).

The unit cost of Brand B is less than Brand A, Evelyn for shop for Brand B.

Unit price is the price of one(unit) quantity of any substance.

The Brand A detergent costs $54 for 6 loads of laundry

Brand B detergent costs $63 for 9 loads of laundry

The unit price of both the detergent has to be compared to find the best among both

Unit cost for Brand A = 54/6 = $9

1 load of Brand A costs $9

Unit cost of Brand B = $63/9 = $7

1 load of Brand B costs $7

As, the unit cost of Brand B is less than Brand A, Evelyn for shop for Brand B.

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Answer:

Cindy has $45 and Emily has $60

Step-by-step explanation:

let x be the amount of money , then

\(\frac{1}{2}\) x + \(\frac{2}{3}\) x = 105

multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

3x + 4x = 630 , that is

7x = 630 ( divide both sides by 7 )

x = 90

Cindy has \(\frac{1}{2}\) × 90 = $45

Emily has \(\frac{2}{3}\) × 90 = $60

Answer:

Rectangular Prism

Step-by-step explanation:

Easy Peazy

Answer:

-4, -3

Step-by-step explanation:

I just use desmos put in the equations separately then pick the dot of intersection to get your coordinate or the system solved

1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.

2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

Question 1.

In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;

Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6

Mean number of text for Jada = 30/6

Mean number of text for Jada = 5.

Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6

Mean number of text for Diego = 36/6

Mean number of text for Diego = 6.

Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6

Mean number of text for Lin = 24/6

Mean number of text for Lin = 4.

Question 2.

In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;

Standard deviation = √(1/n × ∑(xi - u₁)²)

Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]

Standard deviation for Jada = √(6/6) = 1

Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]

Standard deviation for Diego = √(14/6) = 1.53

Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]

Standard deviation for Lin = √(76/6) = 3.6

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Canon has 12 jigsaw puzzles in total.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let us say puzzles solved by :

Arthur be x

Conan be y

Doyle be z

also,

Here, it is given that :

Arthur has completed four times as many jigsaw puzzles as Conan which means :

x = 4y.......(1)

Doyle has completed three times as many jigsaw puzzles as Conan which  means :

z = 3y.....(2)

Doyle has completed 12 fewer jigsaw puzzles than Arthur has means :

z = x-12....(3)

now, to find the number of jigsaw puzzles does Conan (y) we equate equation (2) and (3) to find the value of y also by putting value of x in equation (3) :

3y = x-12

3y = 4y-12

4y-3y = 12

y = 12

Therefore, Canon has 12 jigsaw puzzles in total.

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Answer:

(-7,3)

Step-by-step explanation:

The correct order of the steps to test the general hypothesis is given as B, A, E, C, D, F.

A hypothesis is basically a uncertain fact that is backed by some logical and solid information. While using the hypothesis, it s important that we use the correct method to verify the credibility of the hypothesis in the system.

So, as per the given option, the correct sequence should be, B, A, E, C, D, F.

We first set up the null hypothesis and the alternative hypothesis, and then we choose the degree of significance. The next phases in hypothesis testing are choosing the test statistics and creating the decision-making rule.

When we get to a conclusion based on the hypothesis after carefully calculating and computing the hypothesis' performance, the procedure is said to be finished.

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Complete question - place the following steps in order. what is the correct order for the general procedure for hypothesis testing?

A. Select the level of significance

B. setup null and alternative hypothesis

C. Establish the decision rule

D. performance computation

E. select the test statistics

F. Draw conclusions

If the first digit of a six-digit number is 1.  the last three digits of the original number is: (0, 2, 4, 6, or 8) for the equation to hold.

Let's represent the original six-digit number as ABCDEF, where A is the first digit, and F is the last digit. Since we know that A is 1, we can represent the original number as 1BCDEF.

When we move the digit 1 from the first digit position to the end, we get the new number BCDE1F. We are told that this new number is three times larger than the original number, so:

BCDE1F = 3 × 1BCDEF

BCDE1F = 300000B + 30000C + 3000D + 300E + 30F

Simplifying this equation, we get:

100000B + 10000C + 1000D + 100E + 10F + 1 = 3(100000 + 10000B + 1000C + 100D + 10E + F)

Expanding the right-hand side, we get:

100000B + 10000C + 1000D + 100E + 10F + 1 = 300000 + 30000B + 3000C + 300D + 30E + 3F

Simplifying further, we get:

70000B + 7000C + 700D + 70E + 7F = 299999

Dividing both sides by 7, we get:

10000B + 1000C + 100D + 10E + F = 42857

Since we know that F is the digit 1, we can rewrite this equation as:

10000B + 1000C + 100D + 10E + 1 = 42857

Subtracting 1 from both sides, we get:

10000B + 1000C + 100D + 10E = 42856

The last three digits of the original number are BCE. To find them, we can divide both sides of the above equation by 100 and take the remainder:

(10000B + 1000C + 100D + 10E) mod 100 = 56

Simplifying the left-hand side, we get:

(100B mod 100) + (10C mod 100) + (D mod 100) + (10E mod 100) = 56

Since the first three terms are divisible by 100, we can ignore them and focus on the last term:

10E mod 100 = 56

The only digit of E that satisfies this equation is 6. Therefore, the last three digits of the original number are 1BC, which is 16C in decimal form. We don't have enough information to determine the exact value of C, but we know that it must satisfy the equation:

10000B + 1000C + 100D + 10(6) = 42856

Simplifying, we get:

1000C + 100D = 42796 - 10000B

Since the left-hand side is divisible by 100, the right-hand side must also be divisible by 100. Therefore, B must be an even digit (0, 2, 4, 6, or 8) for the equation to hold.

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Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer:

1/54

Step-by-step explanation:

1/9 x 1/6

The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.

The expression is given below.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.

⇒ {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[(–12) ÷ (–6)]² – 11} ÷ (–7)

⇒ {[2]² – 11} ÷ (–7)

⇒ {4 – 11} ÷ (–7)

⇒ (– 7) ÷ (–7)

⇒ 1

The value of the numerical expression {[(20 – 32) ÷ (–6)]² – 11} ÷ (–7) will be 1.

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The answer would be (C) 20.

Answer:

The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.

In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.

Option B, 12.5, is the correct answer.

Step-by-step explanation: