A long jump pit is 10m long 3m wide and 50cm deep. How many cubic metres of sand are needed to fill it?

Answer:

x = 135

Step-by-step explanation:

You need to find the supplementary angle of x.

To find x, use the supplementary angle theorem. (The angles "lie" on a straight line, so they add up to 180°, or a straight line.)

45+x = 180

x = 135

A sample, such as the average height of people in a sample of 100 residents from that city. Therefore, the correct option is B. Parameters, statistics.

Parameters are numbers that describe populations, while statistics are numbers that describe samples. A parameter is a numerical value that summarizes specific characteristics of a population, and statistics is the discipline of collecting, analyzing, and interpreting data gathered from a sample of the population.

Parameters are used to make inferences about a population based on sample data, and statistics are used to estimate population parameters when it is not possible to measure all individuals in the population. Parameters refer to a fixed characteristic of a population, such as the average height of all people in a city, whereas statistics.

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Answer:

-2

Step-by-step explanation:

Triangle S

Triangle L

For the base you must multiply 4 by -2 to get 2. Likewise for the height you must multiply 8 by -2 to get 4. Thus the scale factor from L to S is -2

Hope it helps,... Chow,...!

The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

The volume of a solid, given by the function f(x), over an interval between a and b, is given by:

\(V = \pi \int\limits^a_b {f(x)^2} \, dx\)

To find the area, integrate around that area. We're revolving around the x-axis so the area will be a circle;

V = ∫A(x)dx =  ∫(πr²)dr

Then we subtract them from each others.

∫(πr₂² - πr₁²)dr

Now substitute the value and integrate;

∫(π(2)² - π(2x)²)dr

∫(4π - 4πx²)dr

4π∫(1 - x²)dr

Now integrate from 0 to 1 since that's where our boundary is.

V = 4π∫(1 - x²)dr = 8π/3

Therefore, The volume of the solid generated by revolving the region bounded by the given curve and lines about the x-axis is V = 8π/3

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Answer:

64 m2

Step-by-step explanation:

12x6=72m2

2x4=8m2

72-8=64m2

The area for the given dimensions of Jared's classroom is, 64 m²

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The dimensions of Jared's classroom are,

12 m, 4 m, 6 m, 4 m, 2 m, 8 m

we can divide the area of classroom in two parts,

first A₁, having side lengths of 6 m & 8 m

second A₂, having side lengths of 4 m & 4 m

Jared's classroom area =  A₁ +  A₂

A₁ = 6 × 8

      =  48

A₂ = 4 × 4

     = 16

A =  A₁ +  A₂

  = 16 + 48

  =  64

The area of classroom is 64 m²

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Answer:

Leroy has $1.20 , Aaron has $6.00

Step-by-step explanation:

let Leroy have x , then Aaron has 5x , so

x + 5x = 7.20

6x = 7.20 ( divide both sides by 6 )

x = 1.20

Then

Leroy has $1.20 and Aaron has 5 × $1.20 = $6.00

Answer:

option D 201.1km²

Step-by-step explanation:

Area of sector=∅/360×πr²

=90/360×22/7×16×16

=1/4×22/7×16×16

=22/7×64

=1408/7

=201.1km²

Answer:

Answer is A

Step-by-step explanation:

The Laplace equation is defined as Au=0. The aim is to solve analytically Laplace's equation in the square [0, 1]²2 with boundary conditions u(x,0) = 0 = u(0, y), u(x, 1) = u(1, y) = 1.

Let's consider the Laplace equation as followsAu = ∂²u/∂x² + ∂²u/∂y²= 0Given boundary conditions areu(x, 0) = 0u(0, y) = 0u(x, 1) = u(1, y) = 1The solution of the Laplace equation is as followsu(x,y) = X(x).Y(y)Let's find the boundary conditionsu(x, 0) = 0

Let's substitute the value of Y(0) in the solution to get X(x).Y(0) = 0, which implies Y(0) = 0Similarly, u(0, y) = 0 => X(0).Y(y) = 0 => X(0) = 0Now, let's find the remaining boundary conditionsu(x, 1) = 1X(x).Y(1) = 1 => Y(1) = 1/X(x)u(1, y) = 1 => X(1).Y(y) = 1 => X(1) = 1/Y(y)Now, let's put the values of X(0) and X(1) in the below equationX(0) = 0, X(1) = 1/Y(y)X(x) = x

Now, let's put the values of Y(0) and Y(1) in the below equationY(0) = 0, Y(1) = 1/X(x)Y(y) = sin(n.π.y) /sinh(n.π)Therefore, the solution of Laplace's equation u(x, y) is as follows;u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π)Answer:Therefore, the solution of Laplace's equation u(x, y) is u(x,y) = Σ(n=1 to ∞)sin(n.π.y).sinh(n.π.x) /sinh(n.π).

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The expression that equals 24 is (4 x 2)(3).

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

(The options are given twice, consider once)

Consider option C.

(4 x 2)(3)

=8 (3)

=8 x 3

=24

So, the expression that equals 24 is  (4 x 2)(3).

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The Six Sigma process is a quality management approach that aims to reduce the number of defects in a process by identifying and eliminating the causes of variation. True.

It is a data-driven approach that seeks to improve the quality of products or services by reducing variability and increasing process efficiency.

One of the defining characteristics of the Six Sigma process is that it requires the specification limits to be set at least six standard deviations away from the mean of the process.

This means that the process is designed to produce products or services that are within the specifications with a high degree of certainty, as the chances of the output falling outside of the specification limits are very low.

The Six Sigma approach involves several steps, including defining the problem, measuring the process, analyzing the data, improving the process, and controlling the process.

It is a rigorous approach that requires the involvement of all levels of the organization and relies on statistical tools and techniques to identify and eliminate the causes of variation in the process.

The Six Sigma process has been widely adopted by many organizations in various industries, including manufacturing, healthcare, finance, and services, to improve their processes, reduce defects, and increase customer satisfaction.

It has proven to be an effective approach for improving the quality of products and services, reducing costs, and increasing profitability.

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The first step is converting both the velocity and the wind in vector form, as follows:

Then the true speed of the plane is given by the addition of these two vectors, as follows:

\(\vec{v_1} + \vec{v_2} = \sqrt{|v_1|^2 + |v_2|^2 + 2 \cdot |v_1| \cdot |v_2| \cdot \cos(\theta)}\)

The magnitudes of each vector are given as follows:

The angle between these two vectors is given as follows:

\(\theta = 100^\circ - 42^\circ = 58^\circ\)

Thus the resulting speed is obtained as follows:

\(\vec{v_1} + \vec{v_2} = \sqrt{180^2 + 30^2 + 2 \cdot 180 \cdot 30 \cdot \cos(58^\circ)} = 197.54\)

The resulting angle of the plane is then obtained as follows:

\(\angle = \arctan\left(\frac{|v_1| \cdot \sin(\theta) + |v_2| \cdot \sin(\theta_2)}{|v_1| \cdot \cos(\theta) + |v_2| \cdot \cos(\theta_2)}\right)\)

Hence:

\(\angle = \arctan\left(\frac{180 \cdot \sin(58^\circ) + 30 \cdot \sin(42^\circ)}{180 \cdot \cos(58^\circ) + 30 \cdot \cos(42^\circ)}\right)\)

\(\angle = 59.87^\circ\)

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Answer:

  197.5 km/h

Step-by-step explanation:

You want the resultant speed with an airplane at a speed of 180 km/h at 100° is acted upon by a wind at a speed of 30 km/h at 42°. Angles are bearings CW from north.

A vector calculator makes short work of this. The resultant speed is ...

  197.5 km/h at 92.6°

The law of cosines can be used to find the side opposite the known angle in the triangle with sides 30 km/h and 180 km/h. The known angle is ...

  180° -(100° -42°) = 122°

So, the resultant speed is ...

  c = √(a²+b²-2ab·cos(C))

  = √(30² +180² -2(30)(180)·cos(122°)) ≈ √39023.13

  c ≈ 197.543

The true speed of the plane is about 197.5 km/h.

__

Additional comment

You will notice that we used bearing angles directly in the calculator computation. As long as angles are consistently measured, it doesn't matter how they're measured.

When plotting the vectors on the Cartesian plane, we need to subtract the bearing angles from 90° to make them correspond to the vectors plotted on a map with north at the top.

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Step-by-step explanation:

Arranging fractions in descending order means arranging the fractions starting from the highest to the lowest.

Finding the LCM of 3, 16, 12, 24,

\( \frac{2}{3} \: \frac{5}{16} \frac{7}{12} \frac{11}{24} \\ \\ \frac{32 + 15 + 28 + 22}{48} \\ \\ Arranging \: the \: fractions \: in \: descending \: order \\ \frac{2}{3} \frac{7}{12} \frac{11} {24} \frac{5}{16} \)

Answer:

3n = -45

Step-by-step explanation:

-2n + 6 = 36

Subtract 6 from each side

-2n +6-6 = 36-6

-2n = 30

Multiply by -3/2 on each side

-2n * -3/2 = 30 *-3/2

3n = -45

Step-by-step explanation:

first one;-

-2n+6=36

subtract 6 from both sides

-2n=30

divide both side by -2

n= -15

second one:-

what is 3n for the same value of n

n= -15

so 3n = 3× -15

=-45

;- 3n = -45

The p-value for a two-tailed test with a two-sample z statistic of 1.35 is approximately 17.7%.

To determine the p-value for a two-tailed test using a two-sample z statistic of 1.35, we need to find the probability of observing a test statistic as extreme as 1.35 or more extreme in both tails of the distribution.

The p-value corresponds to the area under the curve beyond the observed test statistic in both tails. Since the test is two-tailed, we need to calculate the cumulative probability in both the left and right tails.

Using a standard normal distribution table or a statistical software, we can find the cumulative probability for the test statistic of 1.35. In this case, the area in one tail would be 1 - (cumulative probability of 1.35) = 1 - 0.9115 ≈ 0.0885.

Since we're conducting a two-tailed test, we need to consider both tails, so the total p-value is twice the value obtained from one tail.

P-value = 2 * 0.0885 = 0.177.

Converting this value to a percentage, the p-value is approximately 17.7%.

Therefore, the p-value for the two-tailed test with a two-sample z statistic of 1.35 is approximately 17.7%.

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Answer:

The answer is 11

Step-by-step explanation:

h(4)   x=4

Replace a x by 4

h(4)= 2x4+3

h(4)=11

Answer:

x≤-11/2

Step-by-step explanation:

Hope this helps!

Brain-List?

Answer:

y=0.875x + 6

Step-by-step explanation:

Answer:

Y= 7/8X+6

Step-by-step explanation:

Good luck bro .

Answer:

2a -b+m-1

Step-by-step explanation:

(2a−b)+(m−1)

Remove the parentheses

2a -b+m-1

There are no like terms to combine

2a -b+m-1

Answer:

Map scale is 1:400000 => 1 cm on the map represents 400000 cm (4 km) on the ground.

So, 18 km on the ground is represented by 18/4 cm or 4.5 cm on the map.

Answer: 4.5 cm

Step-by-step explanation:

The clear and easiest way to deal with this problem is to convert all measurements to centimeters because that is the stated unit to be used. In SI, the metric prefixes can be written as exponents. The prefix kilo corresponds to 10^3 while the prefix centi corresponds to 10^-2 so 18 km = 18 x 10^3 m = 18 x 10^3 x 10^2 cm= 18 x 10^5 cm.

The number 18 x 10^5 cm is to be reduced to 400,000 times in the map and it means a process of division is to be performed. Dividing 18 x 10^5 cm by 400,000 gives a quotient of 4.5 cm.

This means that an actual distance of 18 km, on the map it just corresponds to 4.5 cm distance if the scale used is 1:400,000.

Answer:212

Step-by-step explanation:

$2000 - $200 = $1800

$1800/$8.50 = 211.76 round up to 212

Answer:

I'm not smart so I don't know

Step-by-step explanation:

Answer:

Step-by-step explanation:

We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.

If  \(3-2|.5x+1.5|=2\) then

\(-2|.5x+1.5|=-1\)  What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:

\(|.5x+1.5|=.5\)

Now we can set up the 2 main equations for this which are

.5x + 1.5 = .5  and .5x + 1.5 = -.5

Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.

Solving the first one:

.5x = -1 so

x = -2

Solving the second one:

.5x = -2 so

x = -4

We want to find the other solution of the given absolute value equation.

The other solution is x = -4

We know that:

3 - 2*|0.5*x + 1.5| = 2

It has one solution given by:

- 2*|0.5*x + 1.5| = 2 - 3 = -1

|0.5*x + 1.5| = 0.5

0.5*x + 1.5 = 0.5

0.5*x = 0.5 - 1.5 = -1

0.5 = -1/x

Then we have x = -2

To get the other solution we need to remember that an absolute value equation can be written as:

|x - a| = b

or:

(x - a) = b

(x - a) = -b

Then the other solution to our equation comes from:

|0.5*x + 1.5| = 0.5

(0.5*x + 1.5) = -0.5

0.5*x = -0.5 - 1.5 = -2

x = -2/0.5 = -4

The other solution is x = -4

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Answer:

y = x + 5

Step-by-step explanation:

x - y = - 5

-y = -x - 5

-(-y = - x - 5)

y = x + 5

Answer:

The answer is 6.4

Step-by-step explanation:

Since a^2+b^2=c^2, then 5^2+4^2=6.4^2

The average power output of a bike rider at a speed of 20 miles per hour is 556 W

Given, Riding a bike burns 100 Calories per mile. Speed of riding a bike is 20 miles per hour. Power is a measure of the rate at which work is done over time.

Therefore, the formula for average power is given by,

P = W/t

Where, P is power, W is work and t is time.

Now, We know that riding a bike burns 100 Calories per mile, but we have to find out the work done.

So, work done = 100 Calories × distance traveled= 100 × 1.609 × 1000 = 160900 J

Time taken = distance/speed= 1.609/20 = 0.08045 hours

Putting values in the formula of power, we get,

P = W/t= 160900/0.08045= 1999999.9 J/hour

Converting hour to seconds,1 hour = 3600 seconds1 J/s = 1 watt1 J/hour = 1 / 3600 watt

Therefore, power = 1999999.9 / 3600= 555.5556 watts (approx)

Therefore, the average power output of a bike rider at a speed of 20 miles per hour is 556 W (approx). Answer: 556

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The simplified expression for this problem is given as follows:

(3²)^(1/3) = 3^(2/3) = \(\sqrt[3]{9}\)

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

The exponents for this problem are given as follows:

2 and 1/3.

Hence the product is of:

2 x 1/3 = 2/3.

Converting the fractional exponent to a rational expression, we have that:

3^(2/3) = \(\sqrt[3]{3^2} = \sqrt[3]{9}\)

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The expression which represents a whole number which is the preceding number to a whole number x is; x-1.

Whole numbers are a class of numbers which are otherwise termed, Integers. Furthermore, Integers number values include, 1, 5 and -3 among a host of other numbers.

Hence, if the actual number is; x, then it follows that the number which precedes x is such that it is less than x by 1 unit.

Ultimately, the required preceding number is; x-1.

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Answer:

BD

Step-by-step explanation:

The radius is "a straight line from the center to the circumference of a circle." BD is the correct option, but AD and DC would work, as well.

Answer:

BD, sory Im late! Give other person brainliest. You're doing great! Have a wonderful day! Remember your worth!