Please answer question 18 using the information above.

Answer:

The volume of sphere  = 268.08

Step-by-step explanation:

Below is the calculation for the volume of melon (sphere).

Given the diameter of the sphere is = 8 inches

Now find the radius by dividing the diameter by 2 = 8/2 = 4 inches

Now use the below formula to find the volume.

The volume of sphere  = \(\frac{4}{3} \times \pi \times r^{3}\)

The volume of sphere  = 268.08

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

To know more about interest compounded visit:

brainly.com/question/20038112

#SPJ11

Answer:

do the lcm and add it you can probe after that

Step-by-step explanation:

need thanks and make me brainiest if it helps you

Answer:

m∠B=52

∘

Step-by-step explanation:

Two or more angles are said to be complementary if they sum up to 90 degrees.

Given that angles A and B are complementary, then:

\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}

Angle BEC is congruent to angle DEC. The student's error lies in assuming that BC + CD = 2BC means that AB = 2BC, which is incorrect. The student concluded that AB = 2BC by incorrectly analyzing the given diagram.

The error can be explained as follows: Since EB is the perpendicular bisector of AD, AB = BD is true.

Angle BEC is congruent to angle DEC, which makes BC = CD true.

If BC + CD is added, it equals BD, which is also equal to AB. Consequently, BC + CD = AB. Also, BC + CD can be written as BC + BC = 2BC.

However, this does not imply that AB = 2BC, as the student incorrectly concluded.

It is because BC and CD are two separate line segments, and just because they have the same length does not imply that they add up to double their length.

So, the student's error lies in assuming that BC + CD = 2BC means that AB = 2BC, which is incorrect.

To know more about congruent, refer

https://brainly.com/question/2938476

#SPJ11

To propagate the error for the given functions, we can use the rules of error propagation.

Let's consider each function separately:

a. For the function y = 5asin(x), where a is a constant:

To propagate the error, we need to consider the derivative of the function with respect to x. In this case, the derivative is cos(x).

Therefore, the propagated error for y is σy = |5a * cos(x) * σx|.

b. For the function y = ax + 2z, where a is a constant:

The propagated error for y is σy = |a * σx + 2 * σz|.

c. For the function y = \(bxz^2\), where b is a constant:

The propagated error for y is σy = \(|(xz^2)\)* σb + (2bxz) * σx + (2bxz) * σz|.

d. For the function y = bln(x), where b is a constant:

The propagated error for y is σy = |(b/x) * σx|

e. For the function f(x, y) = \(yx^2 + y^2:\)

To propagate the error for this function, we need to consider the partial derivatives of f with respect to x and y. The propagated error for f is given by:

σf =\(sqrt((∂f/∂x)^2 * σx^2 + (∂f/∂y)^2 * σy^2),\)

where ∂f/∂x is the partial derivative of f with respect to x, and ∂f/∂y is the partial derivative of f with respect to y.

f. For the function f(x, y) = x + y/(x - y):

The propagated error for f is σf = \(sqrt((∂f/∂x)^2 * σx^2 + (∂f/∂y)^2 * σy^2),\)

where ∂f/∂x is the partial derivative of f with respect to x, and ∂f/∂y is the partial derivative of f with respect to y.

Please note that these formulas assume that the errors in the variables (σx, σy, σz, etc.) are independent and have Gaussian distributions.

Learn more about derivative here:

https://brainly.com/question/32963989

#SPJ11

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

The solution for the equation 2/3 (3x - 15) = x - 10 is zero.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

2/3 (3x - 15) = x - 10

We will solve for x.

2/3 x (3x) - 2/3 x 15 = x - 10

2x - 10 = x - 10

Subtract x on both sides.

x - 10 = -10

Add 10 on both sides.

x = 0

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

There is only one solution which is zero.

Thus,

The solution for the equation 2/3 (3x - 15) = x - 10 is zero.

Learn more about solutions to equations here:

https://brainly.com/question/545403

#SPJ2

The letters of the alphabet that have a symmetry group with four elements are I, O, H, X. The four symmetries are Identity symmetry, 90-degree rotation symmetry, 180-degree rotation symmetry, and 270-degree rotation symmetry.

The letter H has two lines of symmetry, that is, one horizontal and one vertical. The letter I has one line of symmetry, that is, a vertical line that runs through its center point. The letter O has rotational symmetry. The letter X has two lines of symmetry, that is, a diagonal line that runs from the top left to the bottom right, and a diagonal line that runs from the top right to the bottom left.

Identity symmetry is the symmetry where the letter remains unchanged after rotation by 0 degrees.

90-degree rotation symmetry is the symmetry where the letter is rotated 90 degrees clockwise. After this rotation, the letter looks exactly the same as it did in its initial orientation.

180-degree rotation symmetry is the symmetry where the letter is rotated 180 degrees clockwise. After this rotation, the letter looks exactly the same as it did in its initial orientation.

270-degree rotation symmetry is the symmetry where the letter is rotated 270 degrees clockwise. After this rotation, the letter looks exactly the same as it did in its initial orientation.

To know more about symmetry here

https://brainly.com/question/1597409

#SPJ4

See the attached picture:

Answer:

x > 15 or x < -6

Step-by-step explanation:

Answer: I dont understand

Step-by-step explanation:

In British Columbia, Canada, the number y of purple martin nesting pairs x years since 2000 can be modeled by the equation y = 0.63x² +51.8x + 144 there were about 1000 nesting pairs around the time of year 2011.5.

To find when there were about 1000 nesting pairs, we need to solve the given equation for x.

y = 0.63x² +51.8x + 144

We substitute y = 1000 and solve for x:

1000 = 0.63x² +51.8x + 144

0.63x² + 51.8x - 856 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b² - 4ac)) / 2a

where a = 0.63, b = 51.8, and c = -856.

x = (-51.8 ± sqrt(51.8² - 4(0.63)(-856))) / 2(0.63)

x ≈ -86.3 or x ≈ 11.5

Since we are interested in the time after 2000, we discard the negative solution and get:

x ≈ 11.5

This means that there were about 1000 nesting pairs approximately 11.5 years after 2000. To find the actual year, we add 11.5 to 2000:

2000 + 11.5 = 2011.5

Therefore, there were about 1000 nesting pairs around the time of  year 2011.5.

For more details regarding function, visit:

https://brainly.com/question/12431044

#SPJ1

Answer:

c

Step-by-step explanation:

Answer:

cccc

Step-by-step explanation:

Answer:

Approximately 619, 118 copies have been sold to date.

Step-by-step explanation:

42100 = 0.068 x

619, 117.6 = x

Answer:

\(19.79 - 2.8 = 16.99gallons\)

The minimum number of masthead lights for the given vessel is 2.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
A towing vessel 35 meters in length, with a tow 100 meters astern,

Masthead lights = total length of the tow / total length of the vessel
                        = 100 / 35 = 2.85

So, the Number of Masthead lights for the given vessel is 2 ≤ x ≤ 3.
And a minimum number of masthead lights is 2.

Thus, the minimum number of masthead lights for the given vessel is 2.

Learn more about ratios here:

brainly.com/question/13419413

#SPJ2

Answer:

I believe it is 14.

Step-by-step explanation:

Answer: The value of x is 14°

Step-by-step explanation:

Since line m is parallel to n, then then the two given angles will have the same measures. Meaning that 136 degrees has to equation (9x+10).

Set them to equal each other and solve for x.

9x + 10 = 136

    - 10      -10

  9x  = 126

x=  14

Answer:

what

Step-by-step explanation:

Answer:

y = 0x - 4

Step-by-step explanation:

The slope is 0

Answer:

D. O

Step-by-step explanation:

O is the circumcenter of the Triangle and <C is the only 90 degree angle in the triangle

So basically O is the middle (the center) of the triangle.

Hope this helps fr.

The equation of the line passing through the point (4,2) and perpendicular to the line passing through points (9,7) and (11,4) is:

y - 2 = (2/3)(x - 4)

To find the equation of a line passing through the point (4,2) and perpendicular to the line passing through the points (9,7) and (11,4), we can follow these steps:

Step 1: Find the slope of the line passing through (9,7) and (11,4).

Slope = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

Slope = (4 - 7) / (11 - 9)

Slope = -3 / 2

Step 2: The line perpendicular to this line will have a negative reciprocal slope.

Perpendicular Slope = -1 / Slope

Perpendicular Slope = -1 / (-3/2)

Perpendicular Slope = 2/3

Step 3: Use the point-slope form of the equation to find the equation of the line.

y - y1 = m(x - x1), where (x1, y1) is the given point (4,2) and m is the perpendicular slope.

y - 2 = (2/3)(x - 4)

Therefore, the equation of the line passing through the point (4,2) and perpendicular to the line passing through the points (9,7) and (11,4) is:

y - 2 = (2/3)(x - 4)

Learn more about equation of the line here: https://brainly.com/question/21511618

#SPJ11

Answer:

70

Step-by-step explanation:

The equation are x = y + 50  and 5x + 2y = 950

Firstly, let x represent the number of adult tickets sold and let y represent the number of student tickets sold.

Since there was 50 more adult tickets sold compared to student tickets, hence this statement can be represented by the equation:

x = y + 50 (1)

Also, they collected a total of $950. Each adult ticket was $5 while female ticket was $2, hence:

5x + 2y = 950     (2)

5(y + 50) + 2y = 950

y = 100

x = 100 + 50

x = 150

Solving equations 1 and 2 simultaneously gives y = 100 and x = 150

Therefore they was 150 adult tickets and 100 student tickets

Find more at: https://brainly.com/question/15165519

Answer:

When you multiply a negative number to a positive number, your answer is a negative number. It doesn't matter which order the positive and negative numbers are in that you are multiplying, the answer is always a negative number.

Step-by-step explanation:

EXAMPLE: The answer is -2 x 4 = -8.

Answer:

Answer is D. (0,0) is the x- and y-intercept of the function

Step-by-step explanation:

If you try finding the x and y intercept it would be (0,0)

To maximize efficiency, Country B should specialize in Meat production, and Country A should specialize in Cheese production.

To determine the optimal production allocation between the two products (Meat and Cheese) and the two countries (Country A and Country B), we can use the concept of comparative advantage.

Comparative advantage refers to the ability of a country to produce a particular good or service at a lower opportunity cost compared to another country. The opportunity cost is measured in terms of the number of hours of labor required to produce each unit of a product.

To find the country with a comparative advantage in each product, we compare the opportunity costs between the two countries.

For Meat:

The opportunity cost of producing 1 ton of Meat in Country A is 30 hours of labor.

The opportunity cost of producing 1 ton of Meat in Country B is 10 hours of labor.

Since the opportunity cost of producing Meat is lower in Country B (10 hours) compared to Country A (30 hours), Country B has a comparative advantage in Meat production.

For Cheese:

The opportunity cost of producing 1 ton of Cheese in Country A is 5 hours of labor.

The opportunity cost of producing 1 ton of Cheese in Country B is 5 hours of labor.

Both countries have the same opportunity cost for Cheese production, so neither country has a comparative advantage in Cheese production.

Based on comparative advantage, Country B is better suited for producing Meat, while both countries are equally efficient in producing Cheese.

To maximize efficiency, Country B should specialize in Meat production, and Country A should specialize in Cheese production. This specialization allows each country to focus on producing the product in which they have a comparative advantage, leading to overall lower production costs and increased efficiency.

To know more about Product related question visit:

https://brainly.com/question/31815585

#SPJ11

Answer:

y = -2x + 1

Step-by-step explanation:

The y-intercept is given by the point that is on the y-axis. (1)

This means that the answer contains a +1

Then you must find  if the slope is positive or negative

In this case the slope is negative because the line goes "downhill" from left to right

Since the slope is negative it means that there will be a negative sign in the beginning of the equation

Next, to find the slope you need to find the rise over run

Since it is a negative slope the rise will be negative and the run will be positive.

To find the slope find two clear points on the graph such as (0,1) and (2,0)

To find the slope, use the slope formula

This would look like: (0-2)/(1-0)

Your slope will be -2x

Piece it all together and you get a final answer of y= -2x+1

Ships enter and leave a port or harbor through a process known as "ship navigation." When a ship approaches a port or harbor, it follows a designated shipping channel or fairway. This channel is usually marked by buoys or beacons to guide the ship safely.

Environmental considerations: Modern port design takes into account environmental factors, such as coastal erosion, water quality, and marine habitat protection. Ports may need to incorporate measures to minimize the impact on the environment, such as the use of environmentally friendly construction materials, waste management systems, or the implementation of measures to reduce air and water pollution.

In summary, ships enter and leave a port or harbor through ship navigation, which involves following a designated shipping channel. A transit harbor is a stopover location for ships, a point of convergence is where shipping routes intersect, and a gateway port is a major hub for international trade. The design of modern ports is influenced by factors such as geography, traffic volume, accessibility, and environmental considerations.

To know more about marked visit:

https://brainly.com/question/30078912

#SPJ11

Answer: The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Step-by-step explanation:

EDGE2021

Answer:

0.37

Step-by-step explanation:

9.00-8.63=0.37

Answer:

0.37

Step-by-step explanation:

Answer:

21 * 2 = 42

21 + 2 = 23

Step-by-step explanation:

well I know that 6 * 7 = 42 so I’m assuming that’s correct

Then 11 + 12 = 23 it could be the answer I’m not positive for this one though.

The first one should be correct.

Maybe try

21 * 2 = 42

21 + 2 = 23

When rotated about the x axis, a cone will form a circle and the sphere will remain a sphere. The prism and cylinder will not form any new figures when rotated about the x axis.

Cone generally refers to a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. It is a surface formed by the straight line segments joining a circle or other closed curve at different levels. Cone shapes are commonly seen in nature, such as in pine cones, ice cream cones, and volcanoes. In mathematics, a cone is a solid figure with a circular base and a curved surface that comes to a point at the top.

A sphere is a three-dimensional object consisting of a perfectly round shape. It is the surface of a perfectly round ball and is mathematically defined as the set of points that are all the same distance from a single point, which is the center. It is one of the most common shapes in geometry and is found in many everyday objects, such as balls and marbles.

To know more about Cone and Sphere, visit:

https://brainly.com/question/27561023

#SPJ1