-X <-2x and 3x>2x

Solve, then graph and find interval notation

angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

What in mathematics is a parallelogram?

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

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The percentage of matter in the ore that is neither gold nor diamond is 99.9388%.

In the question, we are given that a sample of ore is found to be 0.0022% gold and 0.059% diamond.

We are asked for the percentage of matter in the ore that is neither gold nor diamond.

We know that in any quantity, the total is shown as 100%.

If we assume the percentage of matter in the ore that is neither gold nor diamond to be x%, then using the above theory, we can say that;

x% + 0.0022% + 0.059% = 100%.

This can also be shown as:

x + 0.0022 + 0.059 = 100, which can be simplified as:

x + 0.0612 = 100, which can be solved by subtracting 0.0612 from both sides to get:

x = 100 - 0.0612 = 99.9388‬.

Thus, the percentage of matter in the ore that is neither gold nor diamond is 99.9388%.

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The probability that the customer is at least 30 but no older than 60 is o.45, that the customer is either older than 60 or younger than 40 is 0.68 and that the customer is at least 60 is 0.22.

We have the data:

  Age                 Number of Customers

 < 20                                78

20 - 30                             58

30 - 40                             53

40 - 50                             77

50 - 60                             52

 > 60                                91

The probability that the customer is at least 30 but no older than 60 will be:

P = 182 / 409

P = 0.45

The probability that the customer is either older than 60 or younger than 40 will be:

P = 280 / 409

P = 0.68

The probability that the customer is at least 60 will be:

P = 91 / 409

P = 0.22

Therefore we get the probability that the customer is at least 30 but no older than 60 is o.45, that the customer is either older than 60 or younger than 40 is 0.68 and that the customer is at least 60 is 0.22.

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Answer: 4 People were at the dinner.

              Equation: 2x + 4 = 12

Step-by-step explanation: We know that there are 4 pieces left. So we can just take away 4 from 12. When that's done, we're left with 8 eaten slices. Then divide the 8 slices by the number of pieces per person. Therefore, 8/2 gives us 4.

I took algebra last year and loved it! I hope this helps!

The required simplified solution for the given logarithm expression is y = 3 / 2x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To simplify the given expression,
ln(3) - ln(2) + ln(1/x) = ln (y)
ln(3) + ln(1/x) =  ln(2) + ln(y)
By the property of logarithm,
3/x = 2y
y = 3 / 2x

Thus, the required simplified solution for the given logarithm expression is y = 3 / 2x

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Answer:

Step-by-step explanation:

Vertical opposite angles are equal to each other so

2x = 130

x = 65  (divide both sides by 2)

Answer:

The circumference of the circle is always 2π times as large as its radius. Let r represent the radius of the circle (in feet) and let C represent the circumference of the circle (in feet).

Step-by-step explanation:

hopes this helps

answer 2

π

times as large as its radius.

If checking account has $17,532,car (paid off) is $12,225,retirement savings are $43,675,credit card debt is $7,876,home loan balance has $65,225, the the net worth of the Tanner family is $331.

Given that checking account has $17,532,car (paid off) is $12,225, retirement savings are $43,675,Credit Card Debt is $7,876,Home Loan Balance has $65,225.

We are required to find the net worth of the Tanner family.

Net worth is basically the value of the assets a person or corporation owns, minus the liabilities they owe.

Net worth=Checking account+Car +Retirement savings-credit card debt-Home loan balance

=17532+12225+43675-7876-65225

=$331

Hence if checking account has $17,532,Car (paid off) is $12,225 ,retirement Savings are $43,675,credit card debt is $7,876,home loan balance has $65,225, the the net worth of the Tanner family is $331.

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Answer:

[tex]{ \tt{f(x) = - 10x - 18}} \\ { \tt{g(x) = - 3x}} \\ \\ { \tt{(f - g)(x) = ( - 10x - 18) -( - 3x) }} \\ \\ { \tt{(f - g)(x) = ( - 10x + 3) - 18}} \\ \\ { \tt{(f - g)(x) = - 7x + (3 - 18)}} \\ \\ { \tt{(f - g)(x) = - 7x - 15}}[/tex]

Answer:

Step-by-step explanation:

61.407

Answer:

248.3

Step-by-step explanation:

61% of 407

61% = 0.61

0.61 * 407 = 248.27

248.27 = 248.3

248.3

Answer:

160

Step-by-step explanation:

1 is in 10s place 16x10=160

Answer:

x = -4

Step-by-step explanation:

A perpendicular bisector is a line that divides the existing line or shape evenly and at 90° angles. First, we want to find the center point of our existing line. In this case, the center sits right at x = -4. Since the existing line is y = 3 and it is perfectly horizontal, we don’t need to do anything further. Our perpendicular bisector is x = -4.

*** When the existing line is y = [singular number], the perpendicular bisector will always be x = [midpoint of existing line], and vice versa.

Hope this helps!

Since f(x) appears to admit a local minimum at the point of abscissa zero, then the tangent drawn at that point must admit a slope equal to zero.

The equation that models the balance y after x​ months is given by y = 1500 -150x,

Apparently, we have to assume that the balance is a linear function of the number of months that the payment is boing made.

We are given 3 points:

 (0, 1500), (6, 600) and (8, 300)

Any two of these can be used to write the equation of the line :

 y = (y₂  - y₁) / (x₂ - x₁) (x - x₁) + y₁

 y = (600 - 1500) / (6 - 0) (x - 0) + 1500

 y = - 900 / 6 x + 1500

 y = 1500 - 150 x

where x is the number of months.

Therefore, the equation that models the balance y after x​ months is given by y = 1500 -150x,

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The value of m would be 7 if XZ is the angle bisector of the angle ∠WXY which are the angles ∠WXM and ∠YXZ would be 42°.

An angle bisector is defined as a line that divides an angle into two equal angles. Draw the given angle first, then cut it in half, and then draw the angle's bisector.

We have been given that XZ is the angle bisector of angle WXY.

⇒ ∠WXM = ∠YXZ

Solve for m

⇒ 10m -28 = 5m + 7

⇒ 10m - 5m = 28  + 7

⇒ 5m = 35

⇒ m = 35/5

⇒ m = 7

So ∠WXM = 10(7) -28 = 42

And ∠YXZ = 5(7) + 7 = 42

Therefore, the value of m would be 7.

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Answer: 72.8 and 0.21

Answer:

72.8888888889

and

0.5142857143

the measure of m22 =  98°  by linear pair .

What is  linear pair?

When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.

Given ,    mz1 = (4x + 50)°

               mz3 = (2x + 66)°.

a)  mz1  =   mz3

     (4x + 50)° =  (2x + 66)°

      4x - 2x  = 66 - 50

           2x =   16°

             x = 8°

b)     mz3 = (2x + 66)°.

      put value of x

     2x + 66 = 2 * 8 + 66

                   = 16  + 66  ⇒    82°

c)  mz2 =  ∠ 1 + ∠ 2 = 180°               { linear pair }

                4x + 50 + ∠2 = 180°

                  4 × 8 + 50 + ∠2 = 180°

                  82° + ∠2  = 180°

                        ∠2 = 180° - 82°

                         ∠2 = 98°

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System of equations is represented by the matrix below is 2x + 3y = 2 and 12x  = -24

[2 3     2]

[12 0   -24]

This means 2x + 3y = 2 and 12x  = -24

How matrix is used to solve system of equation?

The matrix can be used to solve system of equation. it can be 3 by 3 matrix or 2 by 2 matrices.

The first rows of the matrix above represent the coefficient of the first equation and second row represents the second equation of the system of equations.

Matrices is the plural form of matrix, which is a rectangular array or table with rows and columns of numbers or elements. They can have as many columns and rows as they want. Matrix operations include addition, scalar multiplication, multiplication, transposition, and others.

Matrices, the plural form of matrix, are the arrangements of numbers, variables, symbols, or expressions in a rectangular table with varying rows and columns. They are rectangular arrays with defined operations such as addition, multiplication, and transposition. The elements of the matrix are the numbers or entries in it. The horizontal entries of matrices are referred to as rows, while the vertical entries are referred to as columns.

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Answer:

(9+b)+(10+s)

Step-by-step explanation:

the one you highlighted is right!

Answer:

The highlighted one is correct!

The wavelength  λ , of a photon that has an energy of E = 4.26×10^−19 J is 21504.29 meter.

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now, the given equation for photon energy, E , is

E = hcλ

Here, h = 6.626×10^−34 J⋅s (Planck's constant) and

c = 2.99×10^8 m/s (the speed of light)

Therefore, we have

E = hcλ

⇒ λ = E/hc

Put the values of E, h and c we get,

λ = 4.26×10^−19 / (6.626×10^−34*2.99×10^8)

Solving we get,

λ = 4.26×10^−19 / 19.81×10^(−34+8)

⇒ λ = 4.26×10^−19 / 19.81×10^-26

⇒ λ = (4.26/19.81)*10^(-19+26)

⇒ λ = 0.215042×10^5 meter

⇒ λ = 21504.29 meter

Thus, the wavelength  λ , of a photon that has an energy of E = 4.26×10^−19 J is 21504.29 meter.

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[tex]{ \blue{ \tt{option(d)}}} \: { \boxed{ \red{ \sf{181.097}}}}[/tex]

Step-by-step explanation:

[tex] \: \: \: \: 235.987[/tex]

[tex] - \: \: \: 54.89[/tex]

_______________

[tex]{ \boxed{ \red{ \sf{= 181.097}}}}[/tex]

The cost for using 40 HCF of water is $67.72

To solve this question, we use the following representations

Using the above representations, we have the following points

(x, y) = (14, 32.62), (48, 78.52)

For 40 HCF of water, we have

(x, y) = (40, y)

The slope of a linear equation is calculated using

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

So, we have

m = (78.52 - 32.62)/(48 - 14) = 1.35

m = (78.52 - y)/(48 - 40)

Substitute m = 1.35 in m = (78.52 - y)/(48 - 40)

So, we have:

1.35 = (78.52 - y)/(48 - 40)

Evaluate the difference

1.35 = (78.52 - y)/8

Multiply both sides by 8

10.8 = 78.52 - y

This gives

y = 78.52 - 10.8

Evaluate the difference

y = 67.72

Hence, the cost for using 40 HCF of water is $67.72

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The length of KL with the given ratio is 25 units

The given parameters are:

IJ : JK : KL is equal to 2 : 5 : 5

IL = 60

Rewrite properly as:

IJ : JK : KL = 2 : 5 : 5

This means that the length of KL

KL = KL ratio/Sum of ratios * IL

So, we have

KL = 5/(2 + 5 + 5) * 60

Evaluate the sum

KL = 5/12* 60

Divide 60 by 12

So, we have

KL = 5 * 5

Evaluate the product

KL = 25

Hence, the length of KL with the given ratio is 25 units

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Answer: -21

Step-by-step explanation: abs(-5) and abs (-15) just makes it positive, so the equation becomes -11 + (5) - (15), which equals -21.

Answer:04,6and 12

Explation:factors are numbers which divide the original number without leaving a remainder.The factors are:1,2,3,4,6,8,12,16,32,48and 96

Answer: 75°

Step-by-step explanation:

Solution;

Here:. let, one angle be x

From the question ,

x+15=90(Being sum of complementary angle)

x=90-15

x=75

The required probability is given by  P(E') =4/35  .

Probability is the study of chance. It can also be defined as the ratio of the favorable outcomes to an event to the total number of outcomes of the event.

Given the total number of people in the USA = 273000000

Let E be the number of people who speak English at home.

Therefore the number of people who don't speak English at home is E'.

∴ E' = 31200000

S speak Spanish in their homes.

∴ S = 50% of 31200000 = 15600000

Now let us find the required probabilities.

We know that probability = favorable outcome ÷ total outcome

total outcome = 273000000

a) favorable outcome(E') = 31200000

P(E')=31200000/273000000

P(E') =4/35

b)favorable outcome(E) = 273000000 - 31200000 = 241800000

P(E) = 241800000/273000000

P(E)={31}/{35}

c)favorable outcome = 15600000

P(S)={15600000}/{273000000}

P(S)={2}/{35}

Therefore the required probability is given by P(E') =4/35 , [tex]P(E)=\frac{31}{35}[/tex] P(E)=31/35 and P(E)=2/35and .

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