Brainliest!
World’s Busiest Airports
Airport
Total Passengers (millions)
Atlanta, Hatfield
80.2
Chicago, O’Hare
72.1
Los Angeles
68.5
Dallas/Ft Worth
60.7
London, Heathrow
64.6

Find the mean number of passengers in the world’s five busiest airports.
a.
69.22 million
c.
80.2 million
b.
346.1 million
d.
60.7 million

Answers

Answer 1
The answer will be A. 69.22


Hope this helps <3
Answer 2
The answer would be A

Related Questions

Find the radius of a sphere with a surface area of 804 cm^2.

A. 9cm
B. 8cm
C. 64cm
D. 204cm

Answers

Surface area of sphere equals its four radii squared multiplied by the number π.
 We have then:
 A = 4 * π * R ^ 2
 Substituting:
 804 = 4 * π * R ^ 2
 Clearing the value of R we have:
 R = root (804 / (4 * π))
 R = 7.99876785 cm
 Nearest whole number:
 R = 8 cm
 Answer:
 The radius of a sphere is:
 B. 8cm

Final answer:

The radius of a sphere with a surface area of 804 cm² is found by using the formula A = 4πr², solving for r, and taking the square root. The correct answer is B. 8cm.

Explanation:

To find the radius of a sphere with a given surface area, we use the formula for the surface area of a sphere, which is A = 4πr². Given that the surface area (A) is 804 cm², we can solve for the radius (r).

Plugging the given surface area into the formula yields:

804 cm² = 4πr²

Next, we divide both sides of the equation by 4π to solve for r²:

r² = 804 cm² / (4π)

To find r, we take the square root of both sides:

r = [tex]\sqrt{(804[/tex]cm² / (4π))

Calculating the right side of the equation gives us the radius:

r ≈ [tex]\sqrt{(804[/tex] cm² / 12.5663706143592)

r ≈ [tex]\sqrt{(64[/tex]

r = 8 cm

Therefore, the correct answer is B. 8cm.

Explain how you can classify shapes, using the distance and slope formula. Provide examples to support your response.

Answers

Using the distance formula, you can determine the lengths of the sides of the shape.  This will help determine if triangles are equilateral, isosceles or scalene; or if quadrilaterals are squares, rectangles, rhombi, or isosceles trapezoids; or if other polygons are regular polygons.  The slope formula will tell help you determine if two sides are parallel.  In a quadrilateral, this will help you determine if the figure is a parallelogram or a trapezoid.

Final answer:

Shapes can be classified using the distance and slope formulas by calculating side lengths and verifying perpendicular or parallel lines, as demonstrated in identifying a rectangle through side equality and perpendicularity.

Explanation:

You can classify shapes by using the distance and slope formulas to understand their geometry, such as identifying parallelograms or triangles with equal sides. The distance formula, √((x2-x1)² + (y2-y1)²), helps calculate the exact length between two points, allowing one to discern if sides are equal and hence contributing to classifying the shape. The slope formula, (y2-y1) / (x2-x1), helps determine the incline or decline between two points, which is essential for identifying parallel or perpendicular lines, thus assisting in shape classification.

For example, to classify a quadrilateral as a rectangle, you could calculate the distance between all points to ensure opposite sides are equal and use the slope formula to ensure adjacent sides are perpendicular by checking if the product of their slopes is -1.

1. What happens to shadows at sunrise and sunset? How are these shadows different from those cast at noon?

2. Study the information in the table below. What relationship do you see between a planet's speed of rotation and its length of day?


Diameter of planet Speed of Rotation Length of the Day
Planet A 3,000 miles 29 miles/second 24 hours
Planet B 2,990 miles 60 miles/second 14 hours
Planet C 3,020 miles 120 miles/second 8 hours

Answers

1. Shadows during sunrise and sunset are longer than those cast at the noon. The reason is that Sun is low above the horizont. Sunrays come at low angle and this causes long shadows. At the noon Sun at highest point and sunrays come at big angle. This causes the shadows to be short
Also, during sunrise and sunset shadows do not have sharp edge while shadows at noon have sharp edges.

2. We can see that speed of rotation and length of day are inversely proportional. This means that as one rises the other one falls. From the table we can see that faster rotation means shorter day.
Also, we can see that there is no linear connection. Planet C has twice the speed but it does not have half the length of a day.

A circular piece of fabric has a radius of 1.2 feet. The fabric sells for $5.40 per square foot. What is the total cost of the circular piece of fabric? A. $6.48 B. $20.35 C. $24.42 D. $40.69

Answers

the anwser is c. pi times 1.2 cubed is like 4.52, times 5.40 is about 24.42

If vector u = (5, 3) and vector v = (-1, 4), what is the component form of vector u + v?

Answers

So, the component form of vector u + v is (4, 7).

Final answer:

The component form of the sum of vector u = (5, 3) and vector v = (-1, 4) is found by adding corresponding components, yielding the sum vector u + v = (4, 7).

Explanation:

To find the component form of the sum of two vectors, vector u, and vector v, you simply add the corresponding components of each vector. The given vectors are vector u = (5, 3) and vector v = (-1, 4). By adding the x-components (5 and -1) and the y-components (3 and 4), we get the sum of the vectors.

The component form of vector u + vector v is calculated as follows:

Sum of x-components: 5 + (-1) = 4Sum of y-components: 3 + 4 = 7

Therefore, the component form of vector u + vector v is (4, 7).

The perimeter of a fence is 140 feet. The sum of three times the length and two times the width is 180 feet. What are the length and width of the fence?

Answers

Final answer:

The perimeter problem is solved using two simultaneous equations derived from the given information about the perimeter and sum of sides. The solution reveals that the width (w) of the fence is 30 feet and the length (l) is 40 feet.

Explanation:

We are given that the perimeter of a fence is 140 feet. The perimeter formula for a rectangle is P = 2l + 2w, where l is the length and w is the width of the rectangle.

According to the problem, we also know that 3 times the length plus 2 times the width equals 180 feet (3l + 2w = 180).

Let's assign variables: Let l represent the length and w represent the width of the fence. We can now set up two equations:

2l + 2w = 140 (Perimeter equation)3l + 2w = 180 (Given equation)

We can solve these equations simultaneously to find the values for l and w.

First, simplify the perimeter equation by dividing everything by 2: l + w = 70. Now substitute l from the simplified equation into the given equation to find w:

3(70 - w) + 2w = 180210 - 3w + 2w = 180-w = -30w = 30

Now that we have the width, we can find the length using the simplified perimeter equation:

l + 30 = 70l = 40

Therefore, the width (w) is 30 feet, and the length (l) is 40 feet.

Final answer:

The length of the fence is 40 feet and the width is 30 feet.

Explanation:

To solve this problem, we can set up a system of equations. Let's denote the length of the fence as 'l' and the width as 'w'. From the given information, we have the following equations:

2l + 2w = 140   (equation 1)

3l + 2w = 180   (equation 2)

We can solve this system of equations by eliminating a variable. Multiply equation 1 by 3 and equation 2 by 2 to eliminate 'w':

6l + 6w = 420   (equation 3)

6l + 4w = 360   (equation 4)

Subtract equation 4 from equation 3 to eliminate 'l':

6w - 4w = 420 - 360

2w = 60

w = 30

Substitute the value of 'w' into equation 1 to solve for 'l':

2l + 2(30) = 140

2l + 60 = 140

2l = 80

l = 40

Therefore, the length of the fence is 40 feet and the width is 30 feet.

Peter wants to cut a rectangle of size 6x7 into squares with integer sides. What is the smallest number of squares he can get

Answers

 He can cut 5 squares, by making 1 4 × 4, 2 3 × 3 and 2 2 × 2 squares.

The smallest number of squares he can get would be 2 × 2 squares.

What is the area of the rectangle?

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that Peter wants to cut a rectangle of size 6x7 into squares with integer sides.

The area of rectangle = 6 x7 = 42

Peter can cut 5 squares, by making;

4 × 4,

3 × 3 and 2 × 2 squares.

The smallest number of squares is 2 × 2 squares.

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Please Find the value of x

Answers

(x+8)*8 = (9+7)*9

(x+8) *8 = 16*9

(x+8) *8 = 144

x+8 = 144/8

x+8 = 18

x = 18-8

x = 10

Suppose you invest $400 at an annual interest rate 7.6% compounded continuously. How much will you have in the account after 1.5 years? Round the solution to the nearest dollar

Answers

[tex]\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}\\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$400\\ r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\ t=years\to &1.5 \end{cases} \\\\\\ A=400e^{0.076\cdot 1.5}\implies A=400e^{0.114}[/tex]

You can expect to have approximately $447 in your account after 1.5 years of continuously compounded interest on your $400 investment.

How much will you have in the account after 1.5 years?

To find out how much you'll have in your account after 1.5 years, we can follow these steps:

1. Formula: Use the formula for continuous compounding:

[tex]Final\ amount = Initial\ amount * (1 + annual\ interest\ rate)^{time}\[/tex]

2. Plug in the values: We know:

Initial amount = $400

Annual interest rate = 7.6% (remember to convert it to a decimal by dividing by 100, so 7.6% becomes 0.076)

Time = 1.5 years

3. Calculation: Substitute the values and calculate:

Final amount = $400 * (1 + 0.076)^{1.5}

[tex]Final\ amount = $400 * (1 + 0.076)^{1.5} = 446.5[/tex]

4. Round the answer: Round the final amount to the nearest dollar:

Final amount  = 447

Which ordered pairs are solutions to the inequality 2x+3y>-1?
Select each correct answer.
(0,1)
(0,-1)
(-2,1)
(-6,0)
(2,-1)

Answers

To find the answer you will plug in the first term for x and the second term for y in each ordered pair.

2(0)+3(1) = 3      Yes  3 is greater than -1
2(0)+3(-1) = -3    No -3 is  not greater than -1
2(-2)+3(1) = -1     No -1 is not greater than -1
2(-6)+3(0) = -12  no -12 is greater than -1
2(2)+3(-1) = 1      Yes  1 is  greater than -1

2x+3y>-1?
Select each correct answer.
(0,1)
(0,-1)
(-2,1)
(-6,0)
(2,-1)

The ordered pairs are (0, 1), and (2, -1) which are solutions to the inequality 2x+3y>-1 option first and fifth are correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have an inequality:

2x+3y>-1

The above inequality is a straight line and represents a region.

After plotting the inequality on the graph.

The points are in the region of the inequality:

(0, 1)(2, -1)

These points satisfy the inequality.

Thus, the ordered pairs are (0, 1), and (2, -1) which are solutions to the inequality 2x+3y>-1 option first and fifth are correct.

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which is the correct form of q(x) + r(x)/b(x) for expression 7x^4+x+14/x+2

Answers

(7x^4+x+14)/(x+2)
(7x^4+x+14)----------------------|(x+2)
-14x³+x+14-------------------------7x³-14x²+28x-55------> q(x)
28x²+x+14
-55x+14
110+14=124------------------------> r(x)

 r(x)=124
b(x)=x+2
q(x)=7x³-14x²+28x-55

then
q(x) + r(x)/b(x)---------> (7x³-14x²+28x-55)+(124)/(x+2)

the answer is (7x³-14x²+28x-55)+(124)/(x+2)

The expression [tex]\(\frac{7x^4 + x + 14}{x + 2}\)[/tex] is [tex]\(7x^3 - 14x^2 + 28x - 55 + \frac{124}{x + 2}\)[/tex].

To find the correct form of the expression [tex]\(\frac{7x^4 + x + 14}{x + 2}\)[/tex] in the form [tex]\(q(x) + \frac{r(x)}{b(x)}\)[/tex], where [tex]\(q(x)\)[/tex] is the quotient and [tex]\(r(x)\)[/tex] is the remainder, we need to perform polynomial long division. Here, [tex]\(b(x) = x + 2\)[/tex].

Step-by-Step Solution:

1. Setup the Division:

  Divide [tex]\(7x^4 + 0x^3 + 0x^2 + x + 14\)[/tex] by [tex]\(x + 2\)[/tex].

2. First Term:

  - Divide the leading term of the dividend by the leading term of the divisor: [tex]\(\frac{7x^4}{x} = 7x^3\)[/tex].

  - Multiply [tex]\(7x^3\)[/tex] by [tex]\(x + 2\)[/tex]: [tex]\(7x^3 \cdot (x + 2) = 7x^4 + 14x^3\)[/tex].

  - Subtract this from the original polynomial:

    [tex]\[ (7x^4 + 0x^3 + 0x^2 + x + 14) - (7x^4 + 14x^3) = -14x^3 + 0x^2 + x + 14. \][/tex]

3. Second Term:

  - Divide the leading term of the new polynomial by the leading term of the divisor: [tex]\(\frac{-14x^3}{x} = -14x^2\)[/tex].

  - Multiply [tex]\(-14x^2\) by \(x + 2\)[/tex]: [tex]\(-14x^2 \cdot (x + 2) = -14x^3 - 28x^2\)[/tex].

  - Subtract this from the current polynomial:

    [tex]\[ (-14x^3 + 0x^2 + x + 14) - (-14x^3 - 28x^2) = 28x^2 + x + 14. \][/tex]

4. Third Term:

  - Divide the leading term of the new polynomial by the leading term of the divisor: [tex]\(\frac{28x^2}{x} = 28x\)[/tex].

  - Multiply [tex]\(28x\)[/tex] by [tex]\(x + 2\)[/tex]: [tex]\(28x \cdot (x + 2) = 28x^2 + 56x\)[/tex].

  - Subtract this from the current polynomial:

    [tex]\[ (28x^2 + x + 14) - (28x^2 + 56x) = -55x + 14. \][/tex]

5. Fourth Term:

  - Divide the leading term of the new polynomial by the leading term of the divisor: [tex]\(\frac{-55x}{x} = -55\)[/tex].

  - Multiply [tex]\(-55\)[/tex] by [tex]\(x + 2\)[/tex]: [tex]\(-55 \cdot (x + 2) = -55x - 110\)[/tex].

  - Subtract this from the current polynomial:

    [tex]\[ (-55x + 14) - (-55x - 110) = 124. \][/tex]

Final Result:

- Quotient [tex]\(q(x) = 7x^3 - 14x^2 + 28x - 55\)[/tex]

- Remainder [tex]\(r(x) = 124\)[/tex]

Thus, the expression [tex]\(\frac{7x^4 + x + 14}{x + 2}\)[/tex] can be written as:

[tex]\[7x^3 - 14x^2 + 28x - 55 + \frac{124}{x + 2}\][/tex]

This is the required form [tex]\(q(x) + \frac{r(x)}{b(x)}\)[/tex].

Use >, <, or = to compare these numbers.

3.08 m ____ 3.8 m

Answers

3.08 m is less than 3.8. 3.8 is larger than 3.08 because the 08 is what makes it smaller.
~Deceptiøn
3.08 m < 3.8 m

This is because 3.08 is smaller than 3.8.

For which interval is the average rate of change of f(x) negative?

Answers

The Average Rate of Change function describes the average rate at which one quanity is changing with respect to something else changing.
 For this case, the first thing you should do is observe the intervals for which the function decreases.
 Remember that the definition of average rate of change is given by:
 [tex]AVR = (f (x2) - f (x1)) / (x2-x1) [/tex]
 For AVR to be negative, it must necessarily pass:
 [tex]x2\ \textgreater \ x1 f (x1) \ \textgreater \ f (x2)[/tex]
 The interval that meets both conditions is:
 x = 0 to x = 2.5
 Answer:
 x = 0 to x = 2.5
 option 3

Answer:

c on edge

Step-by-step explanation:

took the exam

George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job.The table shows their price structures. An equation representing George’s charges is written in the chart.

Landscaping Cost
George
Chin
George charges one hourly rate for the first three hours and then reduces his rate for additional hours. Chin charges the same initial rate as George for the first two hours and the same reduced rate for additional hours.
mc016-1.jpg


What is the equation for Chin’s charges needed to solve the system and find the cost of the initial and additional hours?

Answers

Answer:

C

Step-by-step explanation:

did the test

Answer:

c

Step-by-step explanation:

A) Inverse Property of Multiplication

B) Commutative Property of Multiplication

C) Associative Property of Addition

D) Commutative Property of Addition

Answers

B) Commutative property of Multiplication

Hope this helps!
Hey there!

The answer is B, the commutative property of multiplication.

The commutative property of multiplication states that you  get the same value in an expression, not depending on the order. See here, you have -3/9 and 2, and even though they're in different orders, when you multiply them, they're equal.

Notice how it doesn't work in other operations such as subtraction and division (it works in addition):

10/5 ≠ 5/10
4-10 ≠ 10-4

However,

5 + 10 = 10 + 5

Hope this helps!

if you purchased a camera in British for 100 pounds what would be the price in U.S dollars if one pound is worth $1.40

$71
$100
$140
$1400

Answers

Hello!

1 pound = $1.40

The camera cost 100 pounds. Multiply this by the price in dollars.

100 × 1.40 = 140

ANSWER:

The price of the camera, in U.S dollars, is $140.

Will use 3/4 cup if olive oil to make 3 batches of salad dressing. How much oil does Will use for one batch of salad dreesing?

Answers

Will uses 1/3 cup of olive oil for one batch of salad dressing, because we can
divide 3/4 by 3 and get 1/3

Which dot plot has more than one mode?

Answers

Answer:

The dot plot representing the calico crayfish has more than one mode.

Step-by-step explanation:

We know that mode of the data is the value corresponding to the highest frequencies.

or we may say the mode of a data set is the number that occurs most frequently.

Clearly from the dot plot we could see that the data representing the calico crayfish have two quantities with four dots ( one is when number of calico crayfish are 5 and the other when number of calico crayfish are 8)

Also by making a frequency table we may check it as:

Number of calico crayfish         frequency

      1                                                    1

      2                                                   0

      3                                                    1

      4                                                    3          

     5                                                    4

      6                                                     1    

      7                                                     2

      8                                                     4  

      9                                                     0  

     10                                                     2

The dot plot shows calico crayfish has more than one mode. In the data set each column of a table represents a specific variable and each row represents a specific record of the data sets.

What is a data set?

A data set is a set of information corresponds to one or more database tables in the case of tabular data,

From the table of the calico crayfish, it is observed that the data no 5 on the x-axis the frequency is 4. As well as on data no 8 the frequency is 4.

The dot plot shows calico crayfish has more than one mode. because it shows the same frequency at two other variables;

Hence the dots plot shows calico crayfish has more than one mode.

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Which table represents a linear function that has a slope of 5 and a y-intercept of 20?


Answers

The linear function has an equation
y=5x+20
We substitute the data of each of the tables and see that table 4 is appropriate
Answer: table 4

Table 4 represents the linear function that has slope of 5 and a y-intercept of 20.

Further explanation:

The linear equation with slope [tex]m[/tex] and intercept [tex]c[/tex] is given as follows.

[tex]\boxed{y = mx + c}[/tex]

Given:

The y-intercept is [tex]\left( { - 9, - 3} \right).[/tex]

The slope of the linear function is [tex]- 6.[/tex]

Explanation:

The linear function can be expressed as follows,

[tex]y = 5x + 20[/tex]

In table 1,

Substitute [tex]-60[/tex] for [tex]x[/tex] and 8 for [tex]y[/tex] in linear function to check whether the point satisfy the linear function.

[tex]\begin{aligned}8&= 5\left({ - 60} \right) + 20\\8&= - 300 + 20\\8&= - 280\\\end{aligned}[/tex]

Table 1 is not correct.

In table 2,

Substitute 20 for [tex]x[/tex] and [tex]0[/tex] for [tex]y[/tex] in linear function to check whether the point satisfy the linear function

[tex]\begin{aligned}0&= 5\left( {20} \right) + 20\\0&= 100 + 20\\&0\ne120\\\end{aligned}[/tex]

Table 2 is not correct.

In table 3,

Substitute [tex]-20[/tex] for [tex]x[/tex] and 0 for [tex]y[/tex] in linear function to check whether the point satisfy the linear function

[tex]\begin{aligned}- 20&= 5\left( 0 \right) + 20\\- 20 &\ne 20\\\end{aligned}[/tex]

Table 3 is not correct.

In table 4,

Substitute [tex]-4[/tex] for [tex]x[/tex] and 0 for [tex]y[/tex] in linear function to check whether the point satisfy the linear function

[tex]\begin{aligned}0&= 5\left( { - 4} \right) + 20\\0&= - 20 + 20\\0&= 0\\\end{aligned}[/tex]

Table 4 is correct.

Table 4 represents the linear function that has slope of 5 and a y-intercept of 20.

Learn more:

1. Learn more about the equation in the intercept form https://brainly.com/question/1473992.

2. Learn more about binomial and trinomials https://brainly.com/question/1394854.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: linear function,  numbers, slope 5, y-intercept of 20, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation.

system of equations solve y=2x+1 and 2x-y=3

Answers

For this case we have the following system of equations:

[tex]y = 2x + 1\\2x-y = 3[/tex]

We cleared "y" of the second equation:

[tex]y = 2x-3[/tex]

Now we equate the equations:

[tex]2x+1=2x-3\\1 = -3[/tex]

Since 1 is not equal to -3 then the system has no solution.

This can also be observed, knowing that the lines are parallel since they have the same slope, [tex]m = 2.[/tex]

Answer:

The system has no solution.

math help again please

Answers

Binomial has two terms.
Here A and B contains two terms.
C and D polynomials.
Now, In A. 7x^3y-13x^4 Here the highest degree is 4, So exclude option A because it is given that the binomial degree is 3.

We have now option B -2xy^2 - 19. Here degree of binomial is 3.


Answer: Option B

A pharmacist has an 18% alcohol solution. How much of this solution and how much water must be mixed together to make 10 liters of a 12% alcohol solution?

Answers

Answer:

[tex]6\frac{2}{3}[/tex] of 18%,  [tex]3\frac{1}{3}[/tex] water

Step-by-step explanation:

The 18% solution added to the water is equal to the 10 liters of 12% solution.

Let's say that the amount of 18% solution is x

18% of x = 0.18x

Let's say that the amount of water is 10-x

Because there is no alcohol in water, it will be 0(10-x), or just 0

0.18x + 0 = 10•0.12

0.18x = 1.2

x = [tex]6\frac{2}{3}[/tex]

10 - [tex]6\frac{2}{3}[/tex] = [tex]3\frac{1}{3}[/tex]

Final answer:

To make a 10 liter solution of 12% alcohol, you need to mix 6.67 liters of an 18% alcohol solution with 3.33 liters of water.

Explanation:

To make a 12% alcohol solution, we need to mix the 18% alcohol solution with water. Let's assume x liters of the 18% alcohol solution and (10 - x) liters of water.

The amount of alcohol in the 18% solution is 0.18x liters, while the amount in the water is 0 liters. In the final solution, the amount of alcohol is 0.12 * 10 = 1.2 liters.

So, we can set up the equation 0.18x + 0 = 1.2 and solve for x. By solving this equation, we find that x = 6.67 liters. Therefore, 6.67 liters of the 18% alcohol solution and 3.33 liters of water should be mixed to make 10 liters of a 12% alcohol solution.

The circumference of any circle equal to__ times the diabetes.

A. About 3.07
B. About 3.41
C. Exactly 3
D. About 3.14

Can someone please help me I really would appreciate it please.

Answers

3.14 = pi is the relationship of circumference and diameter.

Write the equation of a line that is perpendicular to y=0.25x-7 and passes through the point (-6,8)

Answers

y=0.25x-7
y=1/4x-7
Slope of this line has a value of 1/4.
We know that k1*k2=-1 (if lines are perpendicular)
Then k2=-4
The equation of the second line is 
y=-4x+b
If this line passes through the poin (-6;8), then 8=-4*(-6)+b
8=24+b
b=8-24
b=-16
The equation is y=-4x-16


Final answer:

The equation of a line that is perpendicular to y = 0.25x -7 and passing through the point (-6,8) is y = -4x -16.

Explanation:

In the mathematical realm, a line that is perpendicular to another has a slope which is the negative reciprocal of the original line's slope. The given equation, y = 0.25x - 7, has a slope of 0.25. Thus, the slope of the perpendicular line would be the negative reciprocal, which is -1/0.25 = -4. Now, a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Although we now know our perpendicular line's slope, we still need the y-intercept. To find it, we use the formula b = y - mx, substituting in our known slope (-4) and given point (-6,8). After calculation, b = 8 - (-4*-6) = -16. Therefore, the equation of a line that is perpendicular to y = 0.25x - 7 and passes through the point (-6,8) is y = -4x -16.

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The equation sin(25o) =9/c can be used to find the length of AB .
What is the length of AB? Round to the nearest tenth.

Answers

c = 9/sin(25)


c = 9/0.4226


c = 21.2958

9/sin(25)


9/0.422618261741


21.29

A stadium brings in $16.25 million per year. it pays football-related expenses of $13.5 million and stadium expenses of $2.7 million per year. whatis the stadium's current profit margin

Answers

Final answer:

To find the stadium's profit margin, subtract its expenses from its revenue and divide by the revenue, then multiply by 100 to get the percentage.

Explanation:

In order to find the stadium's current profit margin, we need to subtract its total expenses from its total revenue and then divide the result by the total revenue. The stadium brings in $16.25 million per year and has football-related expenses of $13.5 million and stadium expenses of $2.7 million per year.

To calculate the profit margin, we subtract the total expenses ($13.5 million + $2.7 million) from the total revenue ($16.25 million): $16.25 million - ($13.5 million + $2.7 million) = $16.25 million - $16.2 million = $0.05 million.

Finally, we divide the profit ($0.05 million) by the total revenue ($16.25 million) and multiply by 100 to get the profit margin as a percentage: ($0.05 million / $16.25 million) * 100 = 0.003076923076923 * 100 = 0.3076923076923%.

Each cone of the hourglass has a height of 18 millimeters . the total height of the sand within the top portion of the hour glass is 54 millimeters. The radius of both cylinder and cone is 8 millimeters. Sand drips from the top to the bottom at a rate of 10n cublic millimeters per second. How many seconds will it take until all the sand has dripped to the bottom of the hour glass?

Answers

Let

Vco------------------- >Volume cone
Vcy------------------ >Volume cylinder 
r= 8mm
hco----------- > height of cone=18 mm
hcy------------ > height of cylinder =54-18=36 mm

then

Vco=π*r² *hco/3--------- > π*8² *18/3=π*384 mm³
Vcy=π*r² *hcy--------- > π*8² *36=π*2304 mm³

the total cubic millimeters of sand=Vco+Vcy=π*384+π*2304=π*2688

if 10π cubic millimeters --------------------- > 1 seg
π*2688--------------------------------- X

X=π*2688/10π=268.8 seg

the answer is 268.8 seg

The volume of the sand in the top portion of the hourglass is calculated using the volume formula for cones. Given the dripping rate, it takes about 115 seconds for all the sand to drip to the bottom.

To determine how many seconds it will take for all the sand to drip to the bottom, we need to find the volume of sand in the top cone.

Each cone has a height of 18 millimeters and a radius of 8 millimeters.The volume of a cone is given by the formula: V = (1/3)πr²h.Substituting the given values, we get: V = (1/3)π(8)²(18) = 1,206.37 cubic millimeters of sand per cone.

The total height of sand in the top portion is 54 millimeters, which means the equivalent of three cones of sand (since 54 mm / 18 mm/cone = 3).

Thus, the total volume of sand is 3 x 1206.37 = 3619.11 cubic millimeters.

Given the sand drips at a rate of 10π cubic millimeters per second, we find the total time by dividing the volume by the rate:

Time = Total Volume / Rate = 3619.11 / 10π ≈ 115.13 seconds.

Therefore, it will take approximately 115 seconds for all the sand to drip to the bottom of the hourglass.

I don’t now this answer please help

Answers

You are given

[tex]f(g(x)) = \sqrt[3]{g(x)+2} = \sqrt[3]{x+3}[/tex]

Comparing forms, you have
[tex]g(x)+2 = x+3[/tex]

Subtracting 2 gives you
[tex]g(x)=x+1[/tex]

Quadrilateral ABCD ​ is inscribed in this circle.



What is the measure of angle C?

Enter your answer in the box.


°

Answers

By the Inscribed Quadrilateral Theorem, a quadrilateral can only be inscribed if and only if opposite angles are supplementary.  This means that [tex]\angle D \text{ and } \angle B[/tex] are supplementary, or add up to 180°.  This gives us the equation
(3x + 9)° + (2x - 4)° = 180°
Combine like terms:
5x + 5 = 180
Subtract 5 from each side:
5x + 5 - 5 = 180 - 5
5x = 175
Divide both sides by 5:
5x/5 = 175/5
x = 35
This means that [tex]m \angle D=3(35)+9=114 \\m \angle B=2(35)-4 = 66 \\m \angle A=2(35) + 3=73[/tex]
We take these 3 angles away from 360 and we will have the measure of angle C:
360 - 114 - 66 - 73 = 107°

Find the quotient

A. 7r5

B. 6r1

C. 5r5

D. 5r3

Answers

40  / 7 = 5 reminder 5

Answer is 5r5
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