PLEASE HELP!! TRYING TO PREPARE FOR A TEST!! TOTAL 50 POINTS WHEN GIVEN BRAINLIEST ANSWER!!


Change the Cartesian integral to an equivalent polar integral, and then evaluate.
∫₋₁₁¹¹ ∫₀√⁽¹²¹⁻ˣ²⁾ dy dx

\int\limits^{11}_{-11} \int\limits^{\sqrt{121-x^{2}} } _{0} dy dx

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

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Given : Big cargo box measures 12m x 6m x 5m

Volume of the Box : Length x Breadth x Height

Volume of the Big cargo box : (12 × 6 × 5) = 360 m³

We know that : 1m = 100cm

Volume of the Big cargo box : 360 (100cm)³

Volume of the Big cargo box : 360 × 100³ × cm³

Given : Small box measures 40cm x 25cm x 10cm

Volume of the Small box : (40 × 25 × 10) = 10000 cm³

Small boxes which can be put into Big cargo box :

\(\bigstar \ \ \boxed{\dfrac{\textsf{Volume of the Big cargo box}}{\textsf{Volume of one small box}}}\)

\(\sf{\implies \dfrac{360 \times 100^{3}}{10000}}\)

\(\sf{\implies {36000}\)

Answer : 36000 small boxes can be put into Big cargo box

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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Answer:

The speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.

Step-by-step explanation:

Since a plane can fly 450 miles in the same time it takes a car to go 150 miles, if the car travels 100 mph slower than the plane, to find the speed (in mph) of the plane the following calculation must be performed:

450 to 150 is equal to 3: 1, that is, the plane travels three times the distance of the car.

Therefore, since 100/2 x 3 equals 150, the speed of the plane is 150 miles per hour, while the speed of the car is 50 miles per hour.

Answer:

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

\(a-a =0\)

Or in the other case:

\(-a -(-a) =-a +a=0\)

So then we can conclude that the expression is a general rule and is true

Step-by-step explanation:

For this case we can verify if the following expression is true or false:

The sum of x and it’s opposite is always zero?

If we want to proof this we need to show that for any number is true.

1) Let's consider the first case with the number 0 the oppose is also 0 and we have that 0-0=0 so then applies

2) Now let's consider any real number a no matter positive or negative we will have that:

\(a-a =0\)

Or in the other case:

\(-a -(-a) =-a +a=0\)

So then we can conclude that the expression is a general rule and is true

The result of the unknown variable x is equivalent to 7

Linear equations are equation that has a leading degree of 1. Given the expression below:

5(3x − 15) + 16 = 5x + 11

Expand the expression

5(3x) - 5(15) + 16 = 5x + 11

15x - 75 + 16 = 5x + 11

15x - 5x - 59 - 11 = 0

10x - 70 = 0

10x = 70

Divide both sides by 10

10x/10 = 70/10

x = 7

Hence the value of x makes the equation true is 7

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Answer:

This should be a permutation

Step-by-step explanation:

P (n, r) = n!/(n-r)!

P (12,5) = 12!/(12-5)!

P (12,5) = 12!/7!

P(12,5) = 95040

Answer:

y = -3x + 13

Step-by-step explanation:

First, find the slope:

\(m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{4-10}{3-1}\\\\m=\frac{-6}{2}\\\\m=-3\)

Finally, find the equation:

\(y-y_1=m(x-x_1)\\\\y-4=-3(x-3)\\\\y-4=-3x+9\\\\y=-3x+13\)

Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(3 + 7)

20 = 2(10)

20 = 20 (True).

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Answer:

Step-by-step

If0.04a is 4% of a,

then a is 25 times larger than 0.04a (100/4 = 25).

Therefore, 0.04a is 96% smaller than a (100 - 4 = 96).

Answer: y - 9

Step-by-step explanation:

Because "y" will be John's age in 5 years, we subtract 5 to get to his age now.

y-5

Four years ago will be just subtracting 4.

y-9

4 years ago John age as per the given condition is  (y - 9) years old .

Let's assume John's current age is J years.

According to the information ,

In 5 years, John's age will be y years.

So, in 5 years, John's age will be J + 5 = y.

Now, find John's age 4 years ago. This means we need to subtract 4 years from John's current age.

John's age 4 years ago = J - 4.

Since John's age in 5 years will be y, we can rewrite the first equation as:

J + 5 = y

Now, use this information to find John's age 4 years ago:

John's age 4 years ago

= J - 4

= (y - 5) - 4

= y - 9.

Therefore, John's age 4 years ago was (y - 9) years old.

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The amount of club soda is 2 times the amount of white grape juice.

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.

We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc.

Given that the ratio of club sods to white grape juice is 4 : 2.

Simplifying the ratio we have the value of the ratio as:

4 : 2 = 2

Hence, the amount of club soda is 2 times the amount of white grape juice.

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Answer:

x = 30

Step-by-step explanation:

1/2(x+6) = 18

Expand brackets or use distributive law.

1/2(x) + 1/2(6) = 18

1/2x + 6/2 = 18

1/2x + 3 = 18

Subtract 3 on both sides.

1/2x + 3 - 3 = 18 - 3

1/2x = 15

Multiply both sides by 2.

(2)1/2x = (2)15

x = 30

Answer:

30

Step-by-step explanation:

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Standard deviation does not mean independent events.

No, the standard deviation is a measure of the spread or variability of a set of data. It measures how much the individual data points in a dataset deviate from the mean or average of the dataset.

Independence, on the other hand, refers to the relationship between two or more events, where the occurrence of one event does not affect the probability of the other event occurring.

Standard deviation is not directly related to the concept of independence. However, when calculating the standard deviation of a dataset, it assumes that each data point is independent and identically distributed. This means that the value of one data point does not affect the value of another data point, and that each data point is drawn from the same underlying distribution.

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A quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

According to the question,

We have to name six types of quadrilaterals by first defining a quadrilateral.

A quadrilateral is a figure where it has four sides and four angles. These sides and angles may sometimes be equal to each other and sometimes may be not. However, in all quadrilaterals, the sum of all four angles is 360°.

Six types of quadrilateral are rectangle (opposite sides of rectangle are equal), square (all sides are equal and each angle is a right angle), parallelogram (opposite sides are parallel and equal), rhombus, kite and trapezoid.

Hence, a quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

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Answer:

-8+2i and -8+2i

Step-by-step explanation:

here simply we'll use general formula

x= (-b +or - √ b^2-4ac)/2a

Answer:

Equation 2 represents the greatest value of x!

Step-by-step explanation:

Let's solve each equation for x.

Equation 1; x = 4.1 (about)

Equation 2: x = 5 (about)

Equation 3: x = 4 (exact)

Equation 4: x = 3 (exact)

Hope this helps. :)

The correct answer is option B i.e. Mean - 65.0, Standard Deviation = 6.8. Variance - 46.7.

What exactly is mean?

Mean, also known as arithmetic mean, is a statistical measure of central tendency that is calculated by summing up all the values in a dataset and then dividing the sum by the total number of values. It is often used to represent the "typical" value or central value of a dataset. Mean is one of the most commonly used measures of central tendency, along with median and mode.

Now,

From given dataset 55, 59, 63, 67, 71,75

Mean = (55 + 59 + 63 + 67 + 71 + 75) / 6 = 65

Variance = [(55-65)² + (59-65)² + (63-65)² + (67-65)² + (71-65)² + (75-65)²] / 6 = 46.7

Standard deviation = √(Variance) = √(46.7) ≈ 6.8

Therefore, the correct answer is: Mean - 65.0, Standard Deviation = 6.8. Variance - 46.7

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Answer:  

> y²⁴- 256 = 0

> (y⁴)

x-256 = 0

or

x= 256

Step-by-step explanation: i have no idea if i am right but pls lmk if i am wrong have a good day/night (: <3

The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

The coordinates of point G are (1.5, -4). The reflection of point G across x-axis and y-axis lies in quadrant II, and the coordinates of that point are (-1.5, 4). ​

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

Based on the, the coordinates of point G are located at (1.5, -4) in quadrant IV.

By applying a reflection over the x-axis to the coordinates of point G, we have the following coordinates of the image G';

(x, y)                              →      (x, -y)

Point G (1.5, -4)             →      G' (1.5, -(-4)) = G' (1.5, 4)

By applying a reflection over the y-axis to the coordinates of point G', we have the following coordinates of the image G";

(x, y)                            →      (-x, y)

Point G' (1.5, 4)           →      G" (-1.5, 4), which is located in quadrant II.

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Answer:

The answer is false

Step-by-step explanation:

3.5 x 2=7

Answer: Most of the students are 67 or 68 inches tall.

Step-by-step explanation:

From the information given, option A is correct as six students are taller than 68 inches.

Also, most of the students are 67 inches tall since there are 9 students who are 67 inches tall. Also, only one student is 65 inches tall.

The best description of the data is that most of the students are 67 or 68 inches tall. 9 students are 67 inches tall while 8 students are 68 inches tall. This means 17 out of 25 students have those heights. Therefore, most of the students are 67 or 68 inches tall is the correct option.

Only six students (24 percent) are taller than 68 inches.

According to provided data set consisting of height measurements for a group of students.

The data has been organized into a tally chart,

with each tally representing one student's height falling within a particular category.

To analyze this data further,

we can calculate the cumulative frequency for each height category.

The cumulative frequency is the sum of the frequencies up to and including the current category.

Using the provided data,

we can calculate the cumulative frequency as follows,

65" | 1 |

cf = 1 66" | 1 |

cf = 2 67" |||| 9 |

cf = 11 68" ||| 8 |

cf = 19 69" ||| 3 |

cf = 22 70" || 2 |

cf = 24 71" | 1 |

cf = 25

Based on this data,

we can make several observations.

Firstly, there is only one student who is 65 inches tall.

Secondly, most of the students (44% or 11 out of 25) are 67 inches tall, with a similar number (32% or 8 out of 25) being 68 inches tall.

Finally, only six students (24%) are taller than 68 inches.

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Answer:

327

Step-by-step explanation:

The image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

In the given question,

We have to find the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin.

Since we have to find the image after a dilation.

So we learn about it now,

Any scale factor will dilate the image of any coordinate. A specific scale factor can be used to scale the coordinate up or down. To determine the answer, consider the scale factor in the equation and multiply or divide the coordinates of dilation by the appropriate scale factor.

So the given point is (-9,12).

Scale factor is 1/3.

So the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is define as

=(-9×1/3,12×1/3)

Simplifying

=(-3,4)

Hence, the image of (-9,12) after a dilation by a scale factor of 1/3 centered at the origin is (-3,4).

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11. Angle KEF = 40°, Angle KEJ = 50°

12. Angle HEF = 115°, Angle KED = 140°

13. Angle JEF = 90°, Angle KEF = 90°

14.   Angle DEF = 180°

The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.

11.  Acute angles: Those angles are less than 90 degree angles.

     Angle KEF = 40°

     Angle KEJ = 50°

     Angle KEH = 75°

     Angle JEH = 25°

     Angle HED = 65°

12. Obtuse angles: Those angles are more than 90 degree angles.

     Angle HEF = 115°

     Angle KED = 140°

13. Right angle: Those angles are 90 degree angle.

     Angle JEF = 90°

     Angle KEF = 90°

14. Straight angle: Those angles make 180 degree angle.

     Angle DEF = 180°

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The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)

The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.

The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.

Therefore, the data set that is represented in the histogram is:

{3, 7, 4}

None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)

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