The dimension of a laying block is 6m ×4m×2m .find the total surface area of the block​

Answer:

moi moi on that beat

Step-by-step explanation:

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To find the relationship between the volume of a prism and a pyramid with congruent bases and equal heights, we need to consider their formulas.  
The volume of a pyramid is given by the formula V = (1/3)Bh,

where B represents the area of the base and h represents the height. Since the bases of the prism and pyramid are congruent and their heights are equal, we can write the equation:

Volume of Prism = 2 × Volume of Pyramid Using the formulas mentioned earlier, we can substitute the expressions for the volumes:

Bh = 2 × (1/3)Bh
Simplifying this equation, we can cancel out the B's:

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The statement "a prism and a pyramid have congruent bases and equal heights, and the volume of the prism is twice the volume of the pyramid" is FALSE.

To understand why, let's consider a simple example. Imagine we have a triangular prism and a triangular pyramid with congruent bases and equal heights. The base of both shapes is a triangle, and their heights are the same.

The volume of a prism can be calculated by multiplying the area of its base by its height. Similarly, the volume of a pyramid can be calculated by multiplying the area of its base by one-third of its height.

Since the prism and the pyramid have congruent bases and equal heights, the only difference in the volume calculation is the factor of 1/3 for the pyramid.

This means that the volume of the pyramid is one-third the volume of the prism, not half. Therefore, the statement that the volume of the prism is twice the volume of the pyramid is false.

Therefore, the statement is incorrect, and the volume of the prism is not twice the volume of the pyramid, but rather three times as much.

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Answer:

The Coefficient for the first question is 7

For the Next Question the 55h stands for how many hours Damon has been driving already, and the 125 is how many miles he was driving per hour.

Step-by-step explanation:

Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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Expression that represents toy's value after 10 days is t = 5*(1.26)^10/7

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

An exponential function is of the form:

y = ab^x

Part A

Translating to the question, the toy's value as a function of time is

t = ab^w

To determine constants a and b, we use points given by graph.

First, (0,5) to find a:

a = 5

Now, (3,10) to determine b:

b = 1.26

The toy's value as a function of time in weeks is  t = 5*(1.26)^w

Part B

Since, the function is in weeks:

1 week = 7 days

w weeks = 10 days

w = 10/7

Replacing w:

t = 5*(1.26)^w

t = 5*(1.26)^10/7

Expression that represents toy's value after 10 days is t = 5*(1.26)^10/7.

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Answer:

x+2y=0

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y-(-1/2x)=2-2

y+1/2x=0

1/2x+y=0

2(1/2x+y)=2(0)

x+2y=0

Answer:

13

Step-by-step explanation:

The answer is (C) 28.26 ft²

To solve the problem, we need to find the radius of the circle, which is half of the length of the segment through the center. Since the length of the segment is 6 feet, the radius is 6/2 = 3 feet.

The area of a circle is given by the formula A = πr², where r is the radius. Substituting the value of the radius, we get:

A = π(3)² = 9π ≈ 28.26 square feet

Rounding to two decimal places, the approximate area of the circle is 28.26 ft^2.

Therefore, the answer is (C) 28.26 ft²

The area of a circle is the amount of space inside the boundary of a circle. It is defined as the product of the square of the radius (r) and the constant pi (π), which is approximately 3.14. The formula for the area of a circle is:

Area = πr^2

Where r is the radius of the circle. The radius is the distance from the center of the circle to any point on the circle's circumference.

The formula shows that the area of a circle is proportional to the square of its radius. This means that if the radius is doubled, the area of the circle will be quadrupled, and if the radius is halved, the area will be reduced to one-fourth.

The area of a circle is often used in geometry and other areas of mathematics, as well as in real-life applications such as calculating the area of a circular garden, a circular swimming pool, or the surface area of a cylinder or sphere.

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Answer:

Step-by-step explanation:

Area of the circleis,

A=3.14 x r^2

d=40 in, r=20 in

A=20x20x3.14=400x3.14=1256 in^2

The function that gives the amount of money in dollars, j(n), in Jamie’s account n years after the initial deposit is J(n) = P(1 + (r/3)/100)³ⁿ.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest is,

A = P(1 + r/100)ⁿ.

Where, A = amount, P = principle, r = rate, and n = time in years.

Given, Jamie deposits $627 into a savings account and the account has an interest rate of 3.5%, compounded quarterly.

P = $627, r =  3.5%.

We know the formula for compound interest compounded quarterly is

A = P(1 + (r/3)/100)³ⁿ.

Or

J(n) = P(1 + (r/3)/100)³ⁿ. (here t is replaced by n).

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Answer:

Explanation in link:

The equation has a infinite number of solutions.

Step-by-step explanation:

-6x - y = -27

18x + 3y = 81

-6x - y = 27

+6x —-+6x

-Y = 27 + 6x

Then, divide both sides by negative one to get rid of that negative y:

Y = -6x + 27

Now replace the Ys in the other equation with -6x + 27.

18x + 3(-6x + 27) = 81.

Do distribute property

18x + -18x + 81 = 81

The 18x and -18x cancel each other out.

81 = 81.

Answer:

uh uhmmmm

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

We are given the following equation:

3x + 9 = 6

We want to solve it for x. To do that, we need to isolate x on one side.

To start, subtract 9 from both sides.

3x + 9 = 6

    -9    -9

___________

3x = -3

Now, divide both sides by 3.

3x = -3

÷3    ÷3

___________

x = -1

Solution

\(\bf{x=-1}\)

Explanation:

Our equation is:

\(\sf{3x+9=6}\)

First, subtract 9 on each side:

\(\sf{3x=6-9}\)

\(\sf{3x=-3}\)

Now, divide each side by 3:

\(\sf{x=-1}\)

Therefore, x = -1.

\(\rule{350}{4}\)

The inverse of the given set of points {(1, -2), (4, 7), (8, -11)} is {(-2, 1), (7, 4), (-11, 8)}.

The formula for the inverse of a point (x, y) is given by: (y, x).

The inverse of the point (x, y) is (y, x).

The inverse of a set of points can be found by applying this formula to each point in the set.

Inverse of these points can be found by interchanging x and y coordinates of each point in the given set.

Therefore, the inverse of the given set of points {(1, -2), (4, 7), (8, -11)} is {(-2, 1), (7, 4), (-11, 8)}.

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Answer:

a⁴b⁴ - c⁴

Step-by-step explanation:

The difference of squares formula states that (a - b)(a + b) = a² - b². In this case, a = a²b² and b = c² so a² - b² = (a²b²)² - (c²)² = a⁴b⁴ - c⁴.

Answer:

a^4b^4 - c^4.

Step-by-step explanation:

(a²b²-c²)(a²b²+c²)

Difference of 2 squares:

= (a²b²)^2 - (c²)^2

= a^4b^4 - c^4.

The classifications are: Quadrilateral N is a kite, Quadrilateral F is a parallelogram, Quadrilateral Y is a rhombus, Quadrilateral H is a rectangle, Quadrilateral W is a square.

Quadrilaterals are polygons with four sides and four vertices. The figure shows the various types of quadrilaterals, each having its own set of properties.

1. Kite: A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. The diagonals of a kite are perpendicular, and one diagonal bisects the other.

Base on these properties, from the figure, Quadrilateral N is a kite.

2. Parallelogram: A parallelogram has opposite sides that are parallel and equal in length. Opposite angles are also equal. Additionally, the diagonals of a parallelogram bisect each other.

Base on these properties, from the figure, Quadrilateral F is a parallelogram.

3. Rhombus: A rhombus is a parallelogram with all sides equal in length. Opposite angles are equal, and the diagonals bisect each other at right angles.

Base on these properties, from the figure, Quadrilateral Y is a rhombus.

4. Rectangle: A rectangle is a parallelogram with four right angles. Opposite sides are equal in length, and the diagonals are congruent.

Base on these properties, from the figure, Quadrilateral H is a rectangle.

5. Square: A square is a special type of rectangle where all sides are equal in length. It has four right angles and congruent diagonals.

Base on these properties, from the figure, Quadrilateral W is a square.

6. Trapezoid: A trapezoid (or trapezium) has one pair of parallel sides. The other two sides are non-parallel. The diagonals of a trapezoid do not necessarily intersect at right angles.

Base on these properties, from the figure, Quadrilateral B is a trapezoid.

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To calculate the growth rate of nominal GDP from 2016 to 2017, use the following formula:
Growth Rate = (GDP 2017 - GDP 2016) / GDP 2016
In this case, the growth rate would be (GDP 2017 - GDP 2016) / GDP 2016 = X.

Nominal GDP is a measure of how much money a country makes in a year from all the goods and services produced within its borders. To calculate the growth rate of nominal GDP from 2016 to 2017, we need to find out how much nominal GDP increased in that one-year period.

Let's say that in 2016, the nominal GDP of the country was $100 billion, and in 2017, it was $110 billion. To find out the growth rate, we need to calculate the percentage increase from 2016 to 2017.

We can do this by taking the difference between the two years' nominal GDP ($110 billion - $100 billion = $10 billion), dividing that by the nominal GDP in 2016 ($100 billion), and then multiplying by 100 to get the percentage increase.

So, the growth rate of nominal GDP from 2016 to 2017 is 10%. This means that the country's economy grew by 10% in terms of the amount of money it made from goods and services in that one-year period.

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Answer: the second one and the fifth one. I did the test.

The question asks to estimate the rainfall at station D in the year 1980 based on the rainfall data of other stations. The answer is that station D's rainfall in 1980 can be estimated by comparing the rainfall patterns of all stations in the basin.

To estimate the rainfall at station D in 1980, we can analyze the relationship between the rainfall at different stations. In this case, we can observe that there is a correlation between the annual rainfall at stations A, B, C, and D. By comparing the rainfall patterns of these stations, we can make an estimation for station D.

In the given data, station D is inoperative in 1980, but the rainfall data for stations A, B, and C are available. By analyzing the rainfall patterns in previous years and considering the correlation between the stations, we can estimate the rainfall at station D in 1980 based on the rainfall data of the other stations in the basin.

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The range of the function g(x) = |x - 12| - 2 is {y | y > -2}, indicating that the function can take any value greater than -2.

To find the range of the function g(x) = |x - 12| - 2, we need to determine the set of all possible values that the function can take.

The absolute value function |x - 12| represents the distance between x and 12 on the number line. Since the absolute value always results in a non-negative value, the expression |x - 12| will always be greater than or equal to 0.

By subtracting 2 from |x - 12|, we shift the entire range downward by 2 units. This means that the minimum value of g(x) will be -2.

Therefore, the range of g(x) can be written as {y | y > -2}, which means that the function can take any value greater than -2. In other words, the range includes all real numbers greater than -2.

Visually, if we were to plot the graph of g(x), it would be a V-shaped graph with the vertex at (12, -2) and the arms extending upward infinitely. The function will never be less than -2 since we are subtracting 2 from the absolute value.

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Answer:

Step-by-step explanation:

Answer:

try desmos!

Step-by-step explanation:

put it into the desmos graphing calculator

To display the terms in the Fibonacci sequence, starting with Fib(0) and continuing as long as the terms are less than 10,000, a program is written with a loop construct. This loop is implemented using a `while` loop with a header line that looks like this: `while term < 10000:`.

Fibonacci sequence is named after the Italian mathematician Leonardo Fibonacci who developed a mathematical sequence in the 13th century to explain the geometric growth of a population of rabbits.

The first two terms in this sequence, Fib(0) and Fib(1), are 0 and 1, and every subsequent term is the sum of the preceding two.

The first several terms in the Fibonacci sequence are:

Fib(0) = 0, Fib(1) = 1, Fib(2) = 1, Fib(3) = 2, Fib(4)= 3, Fib(5)=5.

This program continues as long as the value of the term is less than the maximum

The output is as follows:

```1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765```

The while loop could also be used to achieve the same goal.

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The values of "p" that satisfy both inequalities are all the numbers greater than 3/5 and less than or equal to 8/3, excluding 3/5 and including 8/3.

To solve this inequality, we want to isolate "p" on one side of the inequality sign. Let's begin:

0 ≥ 54p - 144

First, we'll add 144 to both sides of the inequality:

144 ≥ 54p

Now, we'll divide both sides by 54 (note that since we're dividing by a positive number, the inequality sign remains the same):

144/54 ≥ p

Simplifying the left side:

8/3 ≥ p

So, the solution to Inequality 1 is p ≤ 8/3.

Inequality 2: 0 > 12 - 20p

Similarly, we'll isolate "p" on one side of the inequality sign:

0 > 12 - 20p

Subtract 12 from both sides:

-12 > -20p

Divide both sides by -20 (note that since we're dividing by a negative number, the inequality sign flips):

-12/(-20) < p

Simplifying:

3/5 < p

Therefore, the solution to Inequality 2 is p > 3/5.

The solution to Inequality 1 is p ≤ 8/3, and the solution to Inequality 2 is p > 3/5.

To find the intersection, we need to find the values of "p" that satisfy both p ≤ 8/3 and p > 3/5.

The values of "p" that satisfy both inequalities are the values of "p" that are simultaneously less than or equal to 8/3 and greater than 3/5.

Combining the two inequalities, we have:

3/5 < p ≤ 8/3

This can be written in interval notation as (3/5, 8/3].

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Complete Question:

Find all p that satisfies both the inequalities 0 ≥ 54p-144 and 0 > 12 -20p.

Express your answer in interval notation, reducing any fractions in your answer.

Answer:$111.27    hope this helped

Step-by-step explanation:

Two equal-size vectors at right angles to each other have a resultant that is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

The magnitude of the resultant vector of two equal-size vectors at right angles to each other can be determined using the Pythagorean theorem.

Let's assume the magnitude of each vector is represented by "a".

According to the Pythagorean theorem, the magnitude of the resultant vector, denoted as "R", can be calculated as:

R =\(\sqrt{a^2 + a^2}\)

R = (\(\sqrt{2a^{2} )}\)

R = \(\sqrt{2}\) a

Therefore, the magnitude of the resultant vector is equal to \(\sqrt{2}\) times the magnitude of each individual vector.

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The value of x is x > 2.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Any number can be expressed as fractions.

The given expression is \(\frac{5}{6}\)x - \(\frac{1}{3}\) > 1 \(\frac{1}{3}\)

We have to rewrite the expression with x on one side.

\(\frac{5}{6}\)x - \(\frac{1}{3}\) > 1 \(\frac{1}{3}\)

\(\frac{5}{6}\)x > 1 \(\frac{1}{3}\) + \(\frac{1}{3}\)

\(\frac{5}{6}\)x > \(\frac{4}{3}\) + \(\frac{1}{3}\)

\(\frac{5}{6}\)x > \(\frac{5}{3}\)

x > \(\frac{5}{3}\) × \(\frac{6}{5}\)

x > 2

So the value of x is greater than 2.

Hence the correct option is x > 2.

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No as their no difference in Mr. Goodman's evaluation and the History department

What is Statistics ?

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

descriptive statistics types in mathematics The data in this type of statistics is summarized using the provided observations. Statistics that are inferential. To interpret the meaning of descriptive statistics, this kind of statistics is employed. Example of Statistics.

Seeing the data we can conclude that their no difference in Mr. Goodman's evaluation and the History department

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Step-by-step explanation:

2x

8

+

2

1

x

6

+4x

5

or choice B

Step-by-step explanation

Answer:

\(m\angle Y=30^{\circ}\)

Step-by-step explanation:

In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\(\cos Y=\frac{42\sqrt{3}}{84},\\Y=\arccos(\frac{42\sqrt{3}}{84})=\boxed{30^{\circ}}\)

The DML Compiler translates Data Manipulation Language (DML) queries into Relational Algebra operations to be used by the Relational Database Management System (RDBMS).

The DML Compiler starts by parsing the query to determine which operations are needed. It then builds an Abstract Syntax Tree (AST) which is a hierarchical representation of the query. Next, the DML Compiler will perform semantic analysis on the AST to ensure that all operations are valid and the query is valid. After the semantic analysis has been done, the DML Compiler will then translate the AST into Relational Algebra operations, which are a collection of mathematical rules used to manipulate data in a relational database. Finally, the DML Compiler will generate an executable code and send it to the RDBMS to be executed. The result of the query is then returned to the user.

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