The product of 8 and 3 is divided by two times the sum of 1 and 2

True / False​

Answer:

your answer would be 1.44

Step-by-step explanation:

you would do

$0.96 divided by 4 is 0.24

0.24 times 6 is 1.44

Answer:

hypotenuse is about 33 ft long

Step-by-step explanation:

a^2+b^2=c^2

a= 30

b=14

30^2+14^2= 1096 =c^2

\(\sqrt{1096}\)=c

33.1=c

hypotenuse is about 33 ft long

Answer:

No, the Hypotenuse is 33.11

Step-by-step explanation:

The formula for finding a hypotenuse is:

\(\sqrt{x^2+y^2}\)

x=30 and y=14 here

\(x^2=900\)

\(y^2=196\)

\(x^2+y^2= 1,096\)

\(\sqrt{1,096} = 33.11\)

So it would be about 33, not 39

Answer:

I don't know

Step-by-step explanation:

sorry

they are straight lines that make a plus

a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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Answer:

20

Step-by-step explanation:

First solve the first equation:

5x-6=10

+6 +6

5x/5=16/5

x=3.2

Then apply the value of x to the current equation:

10 *3.2-12

=20

Answer:

20

Step-by-step explanation:

5x-6=10

-6+6   10+6

   5x=16

  5/5  16/5

     x=3.2  

10(3.2)-12

32-12

   20

Answer:

Circumference = 40π or 125.6

Step-by-step explanation:

C = 2πr

C = 2π20

C = 40π

C = 40 × 3.14

C = 125.6

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Answer:

large = 12

medium = 18

Step-by-step explanation:

L + M = 30 => L = 30-M

4L+3M =102

substitute : L with M

=> 4(30-M)+3M =102

120-4M+3M = 102

- M = 102-120

-M = -18

=========> M = 18, L = 12

Yes, the equation y = 5x represents a proportional relationship

Two or more expressions with an Equal sign is called as Equation.

The given equation is y=5x.

In a proportional relationship, the ratio of y to x is constant.

In the given equation the variable x and y has a proportional relationship.

The equation is in the form of y=mx+b

the ratio of y to x is 5, meaning that for every unit increase in x, y increases by 5 units.

Hence,  Yes, the equation y = 5x represents a proportional relationship

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the probability is made of the desired outcome divided by the total outcome.

desired = wins = 8

total = wins and losses = 15

8/15 is the probability (approx. 53%)

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The volume of the cuboid is 1152 ft³

A cuboid is a solid shape or a three-dimensional shape. A convex polyhedron that is bounded by six rectangular faces with eight vertices and twelve edges is called a cuboid.

A rectangular prism is called a cuboid and the volume of a cuboid is expressed as;

V = base area × height

The base is rectangle, the area of a rectangle is expressed as;

A = l× w

A = 18 × 8

A = 144 ft²

V = base area × height

V = 144 × 8

V = 1152 ft³

Therefore, the volume of the cuboid is 1152 ft³

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Descriptive statistics is a branch of statistics that deals with the collection, analysis, interpretation, and presentation of data. It focuses on summarizing and describing the characteristics of a sample or population. The purpose of descriptive statistics is to provide a clear and concise summary of the data, including measures of central tendency, variability, and distribution.

True,This information can be used to make inferences about the population as a whole. Therefore, descriptive statistics helps statisticians to better understand and interpret the population data.

False, Descriptive statistics is a branch of statistics that focuses on summarizing and organizing data from a sample or population. It provides insights into the basic features of the data, such as the mean, median, and standard deviation, but does not make inferences about the population.

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Answer:

3.

x −4 0 4

y 1 0 −1

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

The probability that the Davis boys will occupy the first two seats in the row, the Jones boys will occupy the next three seats, and the Smith boys will occupy the last four seats is 7.937×\(10^{-4}\).

There are \(\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]\) potential arrangements for the nine boys if we do not make a distinction amongst boys with the same last name. We are curious in the likelihood of a specific one of these configurations.

Probability = \(\frac{1}{\left[\begin{array}{ccc}9\\2,3,4\\\end{array}\right]}\)

                  = \(\frac{2!3!4!}{9!}\)

                 = 0.0007937

                = 7.937×\(10^{-4}\)

Hence, the probability is 7.937×\(10^{-4}\).

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Answer:

48°

Step-by-step explanation:

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a) The hot air balloon did not violate that air space in both locations.

b) The hot air balloon is 17.678 miles to the west and 17.678 miles to the north from the airport.

c) The crashed hot air balloon violated the airport air space. (\(r \approx 8.485\,mi\), \(r < 25\,mi\))

a) Polar coordinates of the hot air balloon are described solely by the distance from origin (airport) (\(r\)), in miles, and angle in standard position (\(\theta\)), in sexagesimal degrees, that is to say:

\(z(t) = (r, \theta)\) (1)

Where \(t\) is the time, in minutes.

The location of the hot air balloon at both instants is described below:

\(z(0) = \left(37.5\,mi, \frac{5\pi}{6}\,rad \right)\), \(z(90) = \left(25\,mi, \frac{\pi}{4}\,rad \right)\)

In this case, the hot balloon violates the airport air space if and only if \(r < 25\,mi\) and the hot air balloon does not violate that air space in both locations.

b) The equivalent polar coordinates of the hot air balloon in terms of polar components is described by the following formula:

\((x,y) = (r\cdot \cos \theta, r\cdot \sin \theta)\) (2)

Where:

If we know that \(r = 25\,mi\) and \(\theta = \frac{\pi}{4}\,rad\), then the coordinates in rectangular form is:

\((x,y) = \left(25\cdot \cos \frac{\pi}{4}, 25\cdot \sin \frac{\pi}{4} \right)\,[mi]\)

\((x,y) = (17.678, 17.678)\,[mi]\)

The hot air balloon is 17.678 miles to the west and 17.678 miles to the north from the airport.

c) The distance of the crashed hot air balloon with respect to origin is determined by Pythagorean theorem: (\(x = 6\,mi\), \(y = -6\,mi\))

\(r = \sqrt{(6\,mi)^{2}+(-6\,mi)^{2}}\)

\(r \approx 8.485\,mi\)

Since \(r < 25\,mi\), the crashed hot air balloon violated the airport air space.

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Answer:

84 + x*1 = 8x

Step-by-step explanation:

Xavier needs to sell 12 painting to break even.

Answer:

Decrease by 3.9%

Step-by-step explanation:

54,500(1-x) = 52355

x=0.03935... = 3.935% or 3.9%

Answer:

first we subtract his new salary from the old salary to get the decrease.

Then percentage decrease ,we get the decrease over the new salary and multuply by 100. to get the percentage decrease

Answer:

Largest: 3

Smallest: 2

Mid-Sized: 1

Step-by-step explanation:

The required sum of the positive integers x and y with the given condition of product of x and y as  square and cube is equal to 85.

Two positive integers are x and y.

Product of 360 and x is a square.

Product of 360 and y is a cube.

Prime factors of 360 equals to ,

360 = 2³ × 3² × 5

To make a product of 360 and x as square ,

Multiply by 2 and 5 and 3 is already a perfect square.

x = 2 × 5

 = 10

360 × 10 = 3600

Now , to make product of 360 and y as cube.

Multiply by 3  and 5² and 2 is already a perfect cube.

y = 3 × 5²

   = 75

360 × 75 = 27000

Sum of the values of x and y is equal to,

x + y

= 10 + 75

= 85

Therefore, the sum of the positive integers x and y are 85.

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Answer:

64

Step-by-step explanation:

50 - 36 = 14

14×5 =90

90 - 36 = 64

There are two terms in the given expression 5xy²+ 35xy².

What is meant by term?

Terms comprise expressions. A term may be a constant, a variable, or a combination of variables and constants.

What is an example of a term?

It could be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase. Single-word examples: A single phrase is 3x.

There are two terms in the equation 5xyA ^2 + 35xyA^2 that is separated by an arithmetic operator +.

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After 10.47 minutes, approximately 1.875 grams of Californium-242 will remain.

In this process, where half of the isotope decays every 3.49 minutes, we can describe it using recursion. Let R(x) represent the amount of Californium-242 remaining after x intervals of 3.49 minutes. We can define the recursive formula as follows:

R(0) = 15 grams (initial amount)

R(x) = 0.5 * R(x-1)

This means that after the first interval (x=1), half of the initial amount remains. After the second interval (x=2), half of the remaining amount from the first interval remains, and so on.

Alternatively, we can describe the process using an explicit formula. Since each interval reduces the amount by half, the explicit formula can be given as:

R(x) = 15 * (0.5)^x

This formula directly calculates the remaining amount of Californium-242 after x intervals.

To find the amount remaining after 10.47 minutes (approximately 3 intervals), we substitute x = 3 into the explicit formula:

R(3) = 15 * (0.5)^3 = 15 * 0.125 = 1.875 grams

Therefore, after 10.47 minutes, approximately 1.875 grams of Californium-242 will remain.

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The answer is x = y/2 + 3.

I hope this helps, have a great day!

This series can be used to approximate f(x) for values of x close to π/6.

The Taylor series of f(x) = sin(3x) centered at x = π/6 is given by the formula:

f(x) = ∑(n=0 to infinity) [(-1)ⁿ * 3²ⁿ⁺¹/ (2n+1)!] * (x - π/6)²ⁿ⁺¹

To find the coefficients of this series, we need to evaluate f and its derivatives at x = π/6.

f(π/6) = sin(3π/6) = sin(π/2) = 1

f'(π/6) = 3cos(3π/6) = 0

f"(π/6) = -9sin(3π/6) = -9

f"'(π/6) = -27cos(3π/6) = 27

f(4)(π/6) = 81sin(3π/6) = 0

Using these values, we can plug them into the Taylor series formula and simplify to get:

f(x) = 1 - 9/2(x - π/6)² + 27/4(x - π/6)³ - 81/40(x - π/6)⁵ + ...

In other words, the Taylor series of f(x) = sin(3x) centered at x = π/6 is a power series with coefficients that depend on the derivatives of f at π/6.

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The ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m. is (12π)/(16π), which simplifies to 3/4.

To find the ratio of the distance traveled by the tip of the hour hand to the distance traveled by the tip of the minute hand from noon to 3 p.m., we need to consider their respective speeds.

The hour hand takes 12 hours to complete a full revolution around the clock, while the minute hand takes 60 minutes to complete a full revolution.

From noon to 3 p.m., the hour hand moves a quarter of a circle, which corresponds to 3 hours on the clock. The distance traveled by the tip of the hour hand is given by the circumference of a circle with a radius of 6 inches, which is 2π × 6 = 12π inches.

During the same period, the minute hand moves a three-quarter circle, corresponding to 180 minutes. The distance traveled by the tip of the minute hand is the circumference of a circle with a radius of 8 inches, which is 2π × 8 = 16π inches.

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a) The year will not have 53 Fridays regardless of whether or not it is a leap year.

b) The Doomsday Rule represents the sequence of the days in the year that are Fridays

c) A normal 365-day year consists of 52 weeks.

In this question, we have been given the first Friday of a new year is the fourth day of that year.

We need to check whether the year will have 53 Fridays regardless of whether or not it is a leap year.

The number of days in non-leap year= 365

As the first Friday of a new year is the fourth day of that year, the remaining days = 361

To fond the number of fridays in 361 days we perform an arithemtic operation:

361/7 = 51

So, there are 52 Fridays in a 365-day year.

The number of days in the leap year= 366

As the first Friday of a new year is the fourth day of that year, the remaining days = 362

So, there would be 362/7 = 51 fridays

Thus, the year will not have 53 Fridays regardless of whether or not it is a leap year.

The Doomsday Rule represents the sequence of the days in the year that are Fridays

A normal 365-day year consists of 52 weeks.

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To ensure success in building customer relationships, the Marriott group of hotels requires its employees to have a customer-oriented attitude and take customer-oriented actions.

The success of the Marriott group of hotels in building relationships with customers relies on the attitudes and actions of its employees. A customer-oriented approach is crucial for fostering positive interactions and creating memorable experiences for guests. Employees with a customer-oriented attitude prioritize the needs and satisfaction of customers above all else. They actively listen to guests, show empathy, and strive to exceed expectations. Additionally, taking customer-oriented actions involves going the extra mile to personalize service, addressing individual preferences and requirements. This includes anticipating and fulfilling customer needs, providing timely and accurate information, and resolving issues promptly and efficiently. By being customer-oriented in both attitude and action, Marriott employees can enhance guest satisfaction, foster loyalty, and ultimately contribute to the overall success of the hotel group.

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