a helpful rule for converting radians to degrees is

Currently, Michael is 72 years old

Let's represent Michael's current age as "x".

Then Brandon's current age is x/3.

18 years ago, Michael's age was x-18

Brandon's age was x/3-18.

18 years ago, we can write the equation:

x - 18 = 9 * (x/3 - 18)

So, we have

x - 18 = 3x - 162

Evaluate the like terms

2x = 144

Divide by 2

x = 72

So, Michael is 72 years old now.

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The distance between the airport and the point on the ground directtly below the plane is x=-4411.95221

A plane in geometry is a two-dimensional, flat surface. It has no thickness and never ends. An example of a geometric plane might be a sheet of paper or the surface of a wall. The term "plane figures" refers to the flat geometric shapes. In geometry, a plane is a surface made up of all the lines that are parallel to one another and connect any two locations on it. It is a level or flat surface, to put it another way. A plane is uniquely defined in any of the following ways in a Euclidean space of any number of dimensions: with the aid of three non-collinear points. A plane is a fictitious flat surface that passes through the body.

Based on the given,

Formulate:

[tex]tan8=\frac{30000}{x}[/tex]

Evaluate the equation/expression:

[tex]x=-4411.95221[/tex]

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Chad will purchase 0.432 gallons of red and white paint.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.

Given

Dimension of the door = 18 feet by 6 feet

Area of the door = 108 square feet

1 gallon of paint covers 250 square feet

Let x gallon paint covers 108 square feet

Proportion of paint to area covered

1/250 = x/108

x = 108/250

x = 0.432

Hence, 0.432 gallons of red and white paint, Chad will purchase.

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The condensed logarithm is given as follows:

log(cq^z).

The logarithmic expression for this problem is defined as follows:

log c + z log q

For the multiplication/power rule, we have that:

z log q = log q^z.

Hence the expression would be simplified as follows:

log c + q^z.

The addition of logarithms can also be represented as the logarithm of the product, hence the condensed logarithm is given as follows:

log c + q^z = log(cq^z).

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Answer: The slope of the line is 3; option A is correct.

Step-by-step explanation:

Answer:

9300$

Step-by-step explanation:

In light of the query we've got D)x + y ≤ -2 and 2x - 3y ≤ -9 is a pair of inequalities for (-3, 1) is the correct answer.

When resolving an inequality, you can do one of the following: · Add a same number to each side; • Subtract the same amount from each side; • Multiply or divide either aspect by the exact positive amount. You must flip the inequality sign if you combine or split each end by a negative number.

According to the values x = -3, y = 1

-3 + 1 = -2, which is less than or equal to -2, so the first inequality is true.

2 * -3 - 3 * 1 = -9, which is less than or equal to -9, so the second inequality is also true.

Since both inequalities are true, (-3, 1) is a solution for the system of inequalities x + y ≤ -2 and 2x - 3y ≤ -9.

we get ,

x + y ≤ -2

2x - 3y ≤ -9

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The Complete Question :

For which system of inequalities is (-3, 1) a solution?

A. x+y<-2 and 2x-3y <-9

B. x+y<-2 and 2x-3y <-9

C. x+y≤-2 and 2x-3y <-9

D. x+y≤-2 and 2x-3y ≤-9

All the zeroes of f(x) are, - 4, 3/2, - 5/3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The function is,

⇒ f(x) = 9x³ + 45x² + 26x - 40

And,  (x + 4) is a factor of f(x).

Now, Divide the function as;

⇒ x + 4 ) 9x³ + 45x² + 26x - 40 ( 9x² + 9x - 10

             9x³  + 36x²

          -          -

       ------------------------

                    9x² + 26x

                    9x² + 36x

                 -         -

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

                            - 10x - 40

                            - 10x  - 40

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

                            0

Thus, All the factors of function f (x) is,

⇒ (x + 4) (9x² + 9x - 10)

⇒ (x + 4) (9x² + 15x - 6x - 10)

⇒ (x + 4) (3x(3x + 5) - 2(3x + 5))

⇒ (x + 4) (3x - 2) (3x + 5)

Thus, All the zeroes are,

⇒ x + 4 = 0 ⇒ x = - 4

⇒ 3x - 2 = 0 ⇒ x = 2/3

⇒ 3x + 5 = 0 ⇒ x = - 5/3

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The value of the segment FE for the similar triangles is equal to 6.

The triangles EFG and ECD are similar, this implies that the length FE of the smaller triangle is similar to the length CE of the larger triangle

and the length FG of the smaller triangle is similar to the length CD of the larger triangle

so;

FE/12= 6/2FE

2(FE)² = 12 × 6 {cross multiplication}

2(FE)² = 72

(FE)² = 72/2

(FE)² = 36

FE = √36 {take square root of both sides}

FE = 6.

Therefore, the value of the segment FE for the similar triangles is equal to 6.

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The print size of the painting is 3 ft long.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, a print of a famous painting is 1/3 the size of the original, the original is 9 feet long, we need to find the length of the print.

Let the print size of the painting be x ft long,

Since, the scale factor is 1/3

Therefore,

1/3 = 9/x

x = 9/3

x = 3

Hence, the print size of the painting is 3 ft long.

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There are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.

A binary code uses a two-symbol system to represent text, computer processor instructions, or any other data.

The binary number system's "0" and "1" are frequently employed as the two symbols in this system.

Each character, command, etc. is given a set of binary digits, often referred to as bits, by the binary code.

A binary string of eight bits (also known as a byte) can, for instance, represent any of 256 possible values and hence a vast range of distinct things.

8 bits, or 8 binary digits, can be combined in 2⁸=256 different ways.

Some of these combinations are shown in the following table.

(The number in parentheses is the equivalent in decimal form.)

Therefore, there are a total (4) 2⁸ = 256 possible methods to join 8 bits or 8 binary digits.

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A. The number of people who read only one newspaper is 45,000

B. The number of people who read at least two newspapers is 15,000.

a) 10% of 100,000 people read only newspaper i, 30% of 100,000 people read only newspaper ii, and 5% of 100,000 people read only newspaper iii.

10% of 100,000 = 10,000

30% of 100,000 = 30,000

5% of 100,000 = 5,000

Therefore, the number of people who read only one newspaper is 45,000.

b) 8% of 100,000 people read both newspaper i and ii, 1% of 100,000 people read all three newspapers, 2% of 100,000 people read both newspaper i and iii, and 4% of 100,000 people read both newspaper ii and iii.

8% of 100,000 = 8,000

1% of 100,000 = 1,000

2% of 100,000 = 2,000

4% of 100,000 = 4,000

Therefore, the number of people who read at least two newspapers is 15,000.

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Answer: The mean absolute deviation for the given data set is 19.

Step-by-step explanation:

The mean absolute deviation (MAD) is a measure of the variability of a set of data and is defined as the average of the absolute deviations of each data point from the mean. To find the MAD, we first need to find the mean of the data set, and then subtract each data point from the mean and take the absolute value of the result.

Here is the step-by-step process for finding the MAD for the given data set:

Find the mean of the data set: (108 + 53 + 47 + 22 + 56 + 62) / 6 = 56

Subtract the mean from each data point:

108 - 56 = 52

53 - 56 = -3

47 - 56 = -9

22 - 56 = -34

56 - 56 = 0

62 - 56 = 6

Take the absolute value of each result:

|52| = 52

|-3| = 3

|-9| = 9

|-34| = 34

|0| = 0

|6| = 6

Find the average of the absolute deviations: (52 + 3 + 9 + 34 + 0 + 6) / 6 = 19

So the mean absolute deviation for the given data set is 19.

The numerical value of the standard deviation is never (B) less than the variance and is never negative.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

The standard deviation's numerical value is always greater than the variance and can never be negative.

The lowercase Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation.

Standard deviation may be written as SD.

Therefore, the numerical value of the standard deviation is never (B) less than the variance and is never negative.

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With the ratio of 1 : 2 : 3 : 6, the central angle of the largest sector of the circle is 180°.

A circle is a two-dimensional shape consisting of all points in a plane that are at a given distance from the center. Equivalently, we can define a circle to be the curve traced out by a point that moves in a plane so that its distance from the center (a given point) is constant.

A sector is defined to be a part of a circle that is made of the arc of the circle along with its two radii. The shape of a sector of a circle is identical to the shape of a slice of pie or pizza.

We're given a ratio of 1 : 2 : 3 : 6 of all the 4 sectors of a circle. The largest sector in degrees is indicated by 6 out of 12 (12 being the sum of numbers in the ratio). We know that a circle is divided into 360°. Therefore, the central angle θ of the largest sector is:

θ = 6/12 x 360°

θ = 1/2 x 360°

θ = 180°.

The complete question is "A circle is divided into 4 sectors, and the ratio of whose areas is 1 : 2 : 3 : 6. What is the central angle of the largest sector in degrees?"

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mean the least appropriate measure of central tendency for a data set that contains outliers

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Sampling distribution type distribution is simulated with the sample proportion with n = 15 and p = 0.65.

It is defined as a probability distribution of a statistic that is from a larger number of samples from a specific population.

We are given that

The probability of tails of a weighted coin, p=0.65 and n=15

We have to find the type of distribution that is simulated if this procedure is repeated 100 times.

The random variable is a proportion of a number of tails therefore, the type of distribution is the sampling distribution of the sample proportion.

Probability is something that is to happen.

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The opposite of 6 would be -6

Answer:

first one; Y=4x+8

second one; Y=2x+20

3rd: kites are fun and then windy kites

Step-by-step explanation:

9.42 m and 3 m are the missing lengths. 30 degrees is the missing angle.

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same. A triangle is a three-sided polygon with three edges and three vertices in geometry. The total of a triangle's interior angles equals 180 degrees, which is its most essential feature. This is known as the angle sum property of a triangle. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle.

Here,

sin 60=p/h

√3/2=p/6

p=3√3 m

cos 60=b/h

1/2=b/6

b=3 m

90+60+x=180

x=30 degrees

The missing lengths are 9.42 m and 3 m. The missing angle is 30 degrees.

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The approximate thickness of the package of aluminum foil with given density and weight is equal to  0.002 millimeters.

1 ft = 30.48 cm

Area of aluminum foil = 50 ft²

                                    = 50 × ( 30.48 )² cm²

                                    = 46451.52 cm²

1 oz = 28.3495 grams

Weight of the aluminum = 9.0 oz

                                        = 255.1455 grams

Density = 2.70 g/cm³

Density = weight / ( area × thickness )

⇒ Thickness = weight / ( area × density )

⇒Thickness = 255.1455 grams / ( 46451.52 cm² × 2.70 g/cm³ )

⇒Thickness = 0.00203

⇒Thickness = 0.002 millimeters

Therefore, approximate thickness of the aluminum foil is equal to 0.002 millimeters.

The above question is incomplete, the complete question is:

A package of aluminum foil contains 50. ft2 of foil, which weighs approximately 9.0 oz . Aluminum has a density of 2.70 g/cm3.What is the approximate thickness of the foil in millimeters?

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1. The number of games that Tony can buy will be 3 games.

2. The number of tickets that Alice can buy will be 6 games.

A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

The number of games that Tony can buy will be:

= (35.4 + 18.2) × 2.50 / 33.75

= 3.9

= 3 rounding down

The number of tickets that Alice can buy will be:

= (21.8 + 26.6) × 2.50 / 17.50

= 6 games.

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If Luis trains two times per week with 12-pound weights , then to improve his strength, he should (d) Increase to three times per week.

By Increasing the frequency of his strength training sessions from two times per week to three times per week can help Luis improve his strength by exposing his muscles to more stimulation and allowing for more adaptations to occur.

It is important to remember to progress gradually and listen to his body to avoid injury.

The option (d) ;  involves increasing the frequency of his strength training sessions from two times per week to three times per week. By exposing his muscles to more stimulation, he will be allowing for more adaptations to occur and potentially leading to greater strength gains.

The given question is incomplete , the complete question is

Luis strength trains two times per week. He uses 12-pound weights and performs three sets of eight repetitions. He wants to improve his frequency. What should he do?

(a) Increase to 10 repetitions.

(b) Increase to 15-pound weights.

(c) Increase to four sets.

(d) Increase to three times per week.

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The trapezoidal rule is a numerical integration method that frequently overestimates the real value of a function's definite integral.

The trapezoidal rule is a strategy for approximating the definite integral in calculus. The trapezoidal rule works by computing the area of the region under the graph of the function f(x) that is approximated as a trapezoid. The trapezoidal rule is commonly used to calculate the area under curves. This is achievable if the overall area is divided into smaller trapezoids rather than rectangles. The Trapezoidal Rule integration determines the area by approximating the area under a function's graph as a trapezoid. The midway rule uses rectangular areas to approximate the definite integral, whereas the trapezoidal rule uses trapezoidal approximations to approximate the definite integral. Simpson's approach works by first approximating the original function with piecewise quadratic functions.

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Answer:

576 minutes

Step-by-step explanation:

You first must convert the time of a day into minutes.

24 hours x 60 minutes = 1440 minutes in a day.

Now you need to multiply the sum by 2/5

1440/1 x 2/5  =  2880/5
Simplify the number into a whole number.

2880 divided by 5 = 576

Answer:

Step-by-step explanation:

1. Each point moves 3 times as far from the origin as it was.

2. Each point moves to 1/3 its previous distance from the origin.

3. Each point moves twice as far from (2, 2) as it was.

1. Each point moves 3 times as far from the - 1

Answer:

w = 25

Step-by-step explanation:

8/5w = 40

Divided both sides by 8/5

w = 25

Let's check

8/5(25) = 40

40 = 40

So, w = 25 is the correct answer.

Answer: w = 25

Step-by-step explanation:

    To solve for w, we will isolate the variable by using inverse operations.

    Given:

[tex]\displaystyle \frac{8}{5} w=40[/tex]

    Divide both sides of the equation by [tex]\frac{8}{5}[/tex]:

* Note: w is being multiplied by [tex]\frac{8}{5}[/tex], so the inverse operation is division

[tex]\displaystyle w=\frac{40}{\frac{8}{5 } } \mapsto w=40*\frac{5}{8} \mapsto w=*\frac{40*5}{8} \mapsto\frac{200}{8} \mapsto \boxed{w=25}[/tex]

Answer:

The answer is D.

Step-by-step explanation:

The length and the width of the rectangle are 8. 5 inches and 21 inches

It is important to note the the formula for the perimeter of a rectangle is expressed as;

P = 2(L + W)

Given that;

We have that;

P = 76 Inches

L = l

W = 2(l + 2)

Substitute the values

76 = 2( l + 2l + 4)

collect like terms

76 = 2(4l + 4)

expand the bracket

76 = 8l + 8

collect like terms

8l = 68

l = 8. 5 inches

Width, w = 21 inches

Hence, the values are 21 inches and 8. 5 inches

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The length and width of the rectangle are 12inches and 26 inches

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.

Represent the length of the rectangle by x and width by y

y = 2(x+1)

P = 2(l+w)

Represent 2(x+1) for y

P= 2(x + 2( x+1) )

P= 2( x+ 2x +2)

P = 2(3x+2)

P =6x +4

76 = 6x +4

6x = 76 - 4

6x = 72

divide both sides by 6

x = 72/6

x = 12

y = 2( 12+1)

y = 2× 13

y = 26 inches

therefore the length of the rectangle is 12inches and the width is 26inches

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