Megan increases 600 by 10%.
She then decreases the result by 10%
What is her final number?

Answer:

The correct answer is A. 35 and 46. When y is inversely proportional to x, it means that the ratio of x to y remains constant. In this case, when x = 3, y = 60, which means that the ratio of x to y is 3/60. Since the ratio is constant, we can use that ratio to find the values of y when x = 5 and x = 4. When x = 5, y = (3/60) x 5 = 35 and when x = 4, y = (3/60) x 4 = 46.

Answer:

Option A 35 and 46

Step-by-step explanation:

The sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.

In mathematics, an algebraic expression is a combination of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Algebraic expressions are used to represent and solve problems in various areas, including science, engineering, economics, and mathematics.

An algebraic expression can contain one or more variables, which represent unknown or changing quantities, and one or more constants, which represent fixed values. The variables are usually represented by letters, such as x, y, or z. The operations of addition, subtraction, multiplication, and division are represented by the symbols +, -, ×, and ÷, respectively. Parentheses are also used to group terms and indicate the order of operations.

For example, the algebraic expression 3x + 2y - 5 represents a combination of two variables, x and y, and three constants, 3, 2, and 5. The terms 3x and 2y are the variables multiplied by their coefficients, while -5 is a constant term.

Algebraic expressions can be simplified by combining like terms, which are terms that have the same variable raised to the same power. For example, in the expression 3x + 2y - 5 + 4x - 3y, the like terms are 3x and 4x, and 2y and -3y. Combining these terms yields the simplified expression 7x - y - 5.

Algebraic expressions are used in various mathematical operations, such as solving equations, graphing functions, and evaluating formulas. They are also used in real-world applications, such as calculating interest rates, solving optimization problems, and modeling physical phenomena.

Four and six tenths can be written as 4.6, and six and eight tenths can be written as 6.8. To find their sum, we add the two numbers:

4.6 + 6.8 = 11.4

So the sum of four and six tenths plus six and eight tenths is eleven and four tenths, which can be written as 11.4.

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Answer: The probability that a point chosen at random is in the blue region is approximately 0.96.

Step-by-step explanation:

To find the probability that a point chosen at random is in the blue region, we need to compare the area of the blue region to the area of the entire circle.

The area of the circle is given by the formula A = πr^2, where r is the radius of the circle. Since we know the area of the circle is 314 square centimeters, we can solve for the radius:

A = πr^2

314 cm^2 = πr^2

r^2 = 100

r = 10 cm

The circle has a radius of 10 centimeters.

The square inside the circle has a side length of 2 centimeters, so its area is 2^2 = 4 square centimeters.

To find the area of the blue region, we need to subtract the area of the square from the area of the circle. Since the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square. Using the Pythagorean theorem, we can find the diameter of the circle:

d^2 = 2s^2

d^2 = 2(2 cm)^2

d^2 = 8

d = sqrt(8) cm

The diameter of the circle is sqrt(8) centimeters.

The area of the circle is A = πr^2 = π(10 cm)^2 = 100π square centimeters.

The area of the blue region is the area of the circle minus the area of the square:

blue region = A - 4 cm^2

blue region = 100π - 4 square centimeters

The probability that a point chosen at random is in the blue region is therefore:

P(blue) = (blue region) / (total area)

P(blue) = (100π - 4) / (100π)

P(blue) ≈ 0.96

Therefore, the probability that a point chosen at random is in the blue region is approximately 0.96.

The domain is 0 ≤ x ≤ 52. The maximum number of lawns she can mow with 13 gallons is 52, and the minimum is 0 lawns.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

In Mathematics, the horizontal extent of any graph of a function represents all domain values and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {0, 52}.

Range = {0, 13}.

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Answer: 0.04

Step-by-step explanation:

Just do the Math.

Answer:

1/25 or 0.04

Step-by-step explanation:

Answer:

93.6

Step-by-step explanation:

First, convert the time you have to work with to hours:

1 hour 15 minutes = 1.25 hours

required speed to cover 117 miles in 1.25 hours =

distance ÷ time = 117 miles ÷ 1.25 hours = 93.6 miles per hour (apprx.)

The two vectors are indeed considered linearly dependent if they are collinear. So the given statement is true about two linear dependent vectors.

The set [tex]\{v_1, v_2,.....,v_k\}[/tex] is considered as linearly dependent if numbers [tex]\{x_1, x_2, ....,x_k\}[/tex]are not equal to zero. Then, [tex]x_1v_1+x_2v_2+.....+x_kv_k=0[/tex]. This equation is referred to as the equation of linear dependence or linear dependence relation.

When two vectors are collinear, or when one is a scalar multiple of the other, they are said to be linearly dependent. These collinear vectors are also referred to as parallel vectors and these vectors will lie along the same line or parallel line. The given statement is therefore true.

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the height of the swing when θ is 45º is about 3.7 feet. Graph is attached below.

Graphs are a not unusual place technique to visually illustrate relationships within side the statistics. The reason for a graph is to provide statistics that are too severe or complex to be defined appropriately within side the textual content and in much less space.

Given, The height h (in feet) of a swing above the ground can be modeled by the function h=−8cosθ+10

Where,

the pivot is 10 feet above the ground,

the rope is 8 feet long,

To find the height of the swing when θ is 45º, we can substitute θ = 45º into the function and evaluate:

h(45º) = -8cos45º + 10

Using the fact that cos(45º) = √2/2, we get:

h(45º) = -8(√2/2) + 10

h(45º) = 10 - 4√2

Rounding to the nearest tenth, we get:

h(45º) ≈ 3.7 feet

Therefore, the height of the swing when θ is 45º is about 3.7 feet.

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The probability of needing more than 6 rolls to get doubles is,

⇒ 3 / 20

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Each student in Mr. Jones class has two standard number cubes.

Hence, The probability of needing more than 6 rolls to get doubles is,

Total number of cubes = 20

More than 6 rolls = 3

Thus, The probability of needing more than 6 rolls to get doubles is,

⇒ 3 / 20

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Answer:

$73.5

Step-by-step explanation:

$196/8 = $24.5 ---> $196 shared equally with 8 people

24.5*3 = $73.5 ---> The cost for the family of three

Therefore , the solution of the given problem of trigonometry comes out to be the exact value of tanθ in simplest radical form is:

tanθ  = 7/2.

connections between trigonometry and cubic slope The field of mathematics is believed to have been established around the fourth millennium BC, when scientists and professions came together. Many geometric problems can be resolved using precise mathematical techniques, and these techniques can also be used to predict the results of calculations. Trigonometry is the study of the six basic trigonometric operations.

Here,

We can use the Pythagorean theorem to find the length of the hypotenuse of the right triangle formed by the terminal side of the angle θ and the x and y axes.

The distance from the origin to the point (2,7) is the hypotenuse, so we have:

r = √{2²+7²} = √53

Since $\tan\theta$ is the ratio of the opposite side to the adjacent side, we have:

tanθ  = 7/2

Therefore, the exact value of tanθ in simplest radical form is:

tanθ  = 7/2.

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Answer:

1...

Step-by-step explanation:

hope this helps

The BSA or Body surface area can be calculated by the formula is as follows: Body Surface Area= 0.007184 x (Height(m)^0.725) x (Weight(kg)^0.425)

Body surface area was developed as a metric to be used as such in the modulation of many various pharmaceutical treatments and as a standard index to various physiological measurements like glomerular filtration rate and cardiac output.

The Du Bois and its formula is one of the most widely used methods to determine a person's body surface area, in despite the fact that there are actually numerous variations on this concept. In the measurement of physiological and pharmacological data, the body surface area metric is much highly valued. The most typical reference point for chemotherapeutic drug dosing is body surface area.

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We can fill in the given blanks as follows:

x1 =6, x2 = 7 , y1 = -1,  y2 =3. The slope is 4.

What is meant by the slope of a line?

We have seen lines drawn on the coordinate plane in geometry. The best approach to determine without using any geometrical tools if the lines are parallel, perpendicular, or at any angle is to measure the slope. A line's steepness can be determined by looking at its slope. A line's slope in mathematics is defined as the ratio of the change in the y coordinates to the change in the x coordinates. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.

Given,

(x1, y1)  = (6, −1)

(x2, y2) = (7, 3)

The slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] = 3 -(-1) / 7-6 = 4/1 = 4

Therefore we can fill in the given blanks as follows:

x1 =6, x2 = 7, y1 = -1,  y2 =3. The slope is 4.

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The domain is 0 ≤ x ≤ 52. The maximum number of laws that she can mow with 13 gallons is of 52, and the minimum number is of 0.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph touches the y-axis at y = 13, hence the intercept b is given as follows:

b = 13.

When x increases by 20, y decays by 5, hence the slope m is given as follows:

m = -5/20

m = -0.25.

Hence the function is:

y = -0.25x + 13.

From the intercept, the minimum amount can be mowed is given as follows:

0.

The maximum amount is given as follows:

-0.25x + 13 = 0

0.25x = 13

x = 13/0.25

x = 52.

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Answer:

$3,096

Step-by-step explanation:

To find the total interest Mr. Quesada will pay, we need to first calculate the total amount he will pay back, and then subtract the original amount borrowed.

The total amount Mr. Quesada will pay back over 24 months is:

$629 x 24 = $15,096

Subtracting the original loan amount, we get:

$15,096 - $12,000 = $3,096

So Mr. Quesada will pay a total of $3,096 in interest over the course of the loan.

Answer:

BD = 2.4

Step-by-step explanation:

see your other posting for details explanation

Answer:

If ABCD is a square, all sides are 11 and all angles are 90 degrees, so:

BC = AD = 11

AC = BD = 11√2

EC = AC - AE = 11√2 - 11 = 11(√2 - 1)

mDAB = 90 degrees

mAEB = 180 - mDAB = 90 degrees

mCBD = 90 degrees

mBAC = 45 degrees

Step-by-step explanation:

Jose invests money in an account paying a simple interest of 9% per year, he should multiply his current balance by 9% to find his total balance.

Simple Interest is a simple way for computing interest on a loan or principle amount. The notion of simple interest is used in many sectors, including banking, finance, and vehicles. The monthly interest is deducted first, followed by the principal amount, when you make a loan payment.

We have rate of interest as 9%

So, SI = PNR/100

SI = P x 1 x 9/100

SI = P x 9%.

Therefore, current balance should be multiplied by 9% .

Simple Interest (S.I.) is a way of determining the amount of interest for a given principle amount. You put that money to use for the reason you borrowed it in the first place. The money is then returned after you receive your following month's pocket money from your parents. This is how borrowing and lending operate in the real world.

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SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.

The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.

The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.

The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.

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Answer:

it is 30, 90, and 60 as it is a right triangle

Answer:

Dispensed

Step-by-step explanation:

Factor trees are a means to represent a number's factors, more precisely, a number's prime factorization. The tree's branches are divided up into components. When the branch's final factor is a prime number, the branch comes to an end and we circle the number because there are now only two factors left: itself and one.

The factor tree for 46 is:

  46

 /    \

2     23

To create a factor tree for 46, we will first identify two factors of 46 that are as close to each other as possible.

One such pair of factors is 2 and 23.

So we write 46 as:

  46

 /    \

2     23

Since 23 is a prime number, we cannot break it down any further.

Therefore, the factor tree for 46 is:

  46

 /    \

2     23

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Here's a factor tree for the number 46 is as follows:

          46

       /      \

      2       23

              |

              23

To start, factor tree, we divide 46 by the smallest prime number, which is 2. This gives us 23 as a factor. Since 23 is a prime number, we cannot divide it any further, so we stop and write down the prime factors of 46, which are 2 and 23.

Therefore, the prime factorization of 46 is 2 × 23.

Note that the product of the prime factors in the tree (2 and 23) gives the original number (46).

Factor trees are useful for determining a number's prime factorization, which can be useful in a variety of mathematical applications. The prime factorization of a number, for example, can be used to simplify fractions, find common factors, and solve problems involving factors and multiples.

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Similar triangles have different dimensions, but their measurements have the same ratio.

In the image, we can see two triangles. A large triangle and a small triangle. These are similar. How can we tell? They share the same angles.

Now, we can set up a proportion comparing their side lengths:

[tex]\dfrac{82}{28}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]

Theoretically, if we divide corresponding side lengths of two similar shapes, we should get the same value. This is what makes the proportion true.

Now, simplify:

[tex]\dfrac{82}{28}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]

[tex]\dfrac{41}{14}=\dfrac{(2x+8)+(5x-4)}{2x+8}[/tex]

[tex]41(2x+8)=14[(2x+8)+(5x-4)][/tex]

[tex]82x+328=14[2x+8+5x-4]\\82x+328=14(7x+4)\\82x+328=98x+56[/tex]

[tex]328=16x+56\\272=16x\\x=17[/tex]

x = 17

Answer:3

Step-by-step explanation:

Answer:

Infinite (∞)

Step-by-step explanation:

A multiple in math are the numbers you get when you multiply a certain number by another number or integer.

Multiples of 10 are numbers that can be divided exactly by 10. The multiples of a number are infinite.

The conversion factor for converting centimetres to inches (in.) is 0.3937. Thus, the conversion of 167 centimetres to inches is equals to the 68.89 inches.

To convert from one unit to another, multiply by a conversion factor. The centimeter (cm) is the fractional part of the meter, the international standard unit of length, and is approximately equal to 39.37 inches. An inch is a unit of length or distance in measurement system of common American units and British Imperial units. One inch is defined as 1/12 of a feet. To convert a centimeter value to its equivalent inch value, simply multiply the centimeter value by 0.39370078740 (the conversion factor). The formula to convert centimeters to inches is: Inches

= Centimeters × 0.39370078740.

The factor 0.39370078740 is the result of dividing 1/2. So the best formula is inches = centimeters / 2.54. Now we need to convert 175 cm to inches. So, according to the formula, inches = 175 cm / 2.54

= 68.8976377953 ~ 68.89

Hence, required value is 68.89 inches.

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Attribute that describes right pyramid is triangular faces.

A pyramid is a three-dimensional shape. A pyramid has a polygonal base and a flat triangular face that join at a common point called the apex. A pyramid is formed by connecting the base and apex. Each edge of the base connects to the top and forms triangular faces called sides.

Given, properties of right pyramid

1. 2 apexes - A right pyramid has only one apex

2. Triangular faces - A right pyramid has flat triangular faces.

3. Circular base - A right pyramid has polygonal base, not circular base

4. curved surface - A right pyramid has flat surface, not curved surface.

Hence, Property of triangular faces is present in a right pyramid.

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The compound probability is P(R and then R) = P(R) x P(R|R) = (3/10) x (2/9) = 0.0667 or 6.67% (rounded to two decimal places)

Probability is a measure of the likelihood or chance that an event will occur. It is a mathematical concept used to quantify the degree of uncertainty of a particular outcome in a random process.

The probability of an event occurring is expressed as a number between 0 and 1, where 0 indicates that the event is impossible, and 1 indicates that the event is certain to occur. The probability of an event occurring can also be expressed as a percentage, with 0% indicating that the event is impossible and 100% indicating that the event is certain to occur.

The calculation of probability involves determining the number of possible outcomes that satisfy the condition of interest and dividing that number by the total number of possible outcomes in the sample space.

For example, if you toss a fair coin, the probability of getting heads is 0.5 or 50%, since there are two possible outcomes (heads or tails), and each outcome is equally likely. Similarly, if you roll a fair six-sided die, the probability of getting a 4 is 1/6 or approximately 0.167, since there is only one possible outcome of rolling a 4, out of six possible outcomes.

Probability is used in various fields, such as statistics, economics, engineering, and science, to analyze data, make predictions, and make decisions based on uncertain outcomes. It is an essential concept in many areas of study, and its applications are widespread.

Let's denote the events as follows:

R = selecting a red marble

B = selecting a blue marble

W = selecting a white marble

a) The probability of selecting a blue marble on the first draw, followed by a red marble on the second draw:

The probability of selecting a blue marble on the first draw is 6/10 (since there are 6 blue marbles out of a total of 10 marbles). If a blue marble is selected on the first draw, then there are 9 marbles left in the box, including 3 red marbles. The probability of selecting a red marble on the second draw, given that a blue marble was selected on the first draw, is 3/9. Therefore, the compound probability is:

P(B and then R) = P(B) x P(R|B) = (6/10) x (3/9) = 0.2 or 20%

b) The probability of selecting a white marble on the first draw, followed by a blue marble on the second draw, followed by a red marble on the third draw:

The probability of selecting a white marble on the first draw is 1/10. If a white marble is selected on the first draw, then there are 9 marbles left in the box, including 6 blue marbles. The probability of selecting a blue marble on the second draw, given that a white marble was selected on the first draw, is 6/9. If a blue marble is selected on the second draw, then there are 8 marbles left in the box, including 3 red marbles. The probability of selecting a red marble on the third draw, given that a white marble was selected on the first draw and a blue marble was selected on the second draw, is 3/8. Therefore, the compound probability is:

P(W and then B and then R) = P(W) x P(B|W) x P(R|W and B) = (1/10) x (6/9) x (3/8) = 0.025 or 2.5%

c) The probability of selecting a red marble on the first draw, followed by another red marble on the second draw:

The probability of selecting a red marble on the first draw is 3/10. If a red marble is selected on the first draw, then there are 9 marbles left in the box, including 2 red marbles. The probability of selecting another red marble on the second draw, given that a red marble was selected on the first draw, is 2/9. Therefore, the compound probability is:

P(R and then R) = P(R) x P(R|R) = (3/10) x (2/9) = 0.0667 or 6.67% (rounded to two decimal places)

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20 lbs is approximately equal to 9.0718 kg  ( rounded to four decimal places )

The conversion factor to convert lbs to kilogram is 0.453592

1 lbs = 0.453592 kg

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The mass in kg = The mass in lbs × conversion factor

Substitute the values in the equation

1 lbs = 0.453592 kg

20 lbs = 20 × 0.453592

Multiply the numbers

= 9.0718 kg  ( rounded to four decimal places )

Therefore, 20 lbs is 9.0718 kg

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