A train car is carrying 500 TV's.
If each set weighs 12.85 pounds, what is the
weight of the entire load?

Answer:

the answer is provided down below

Step-by-step explanation:

steps

9 - ( 1 3 x 3 x3)

36 - (3 x 2 x2x3)

81 -( 3 x 3 x 3 x 3)

144 - ( 2 x 3 x 3 x 2 x 2 x 2 x 2)

225 - ( 5 x 5 x 3 x 3)

576 -( 2 x 2 x 2 x 2 x 2 x 2 x 3 x3)

625 - ( 5 x 5 x 5 x5 )

2401 - ( 7 x 7 x 7 x 7)

The relationship between 30 hours and 15 hours is that the number of hours spent using electronic devices is twice the number of hours of time spent playing sports, i.e. 30 hours = 2 x 15 hours.

There are different ways to approach this question, but one possible relationship between 30 hours and 15 hours to complete the statement "the number of hours students spent using electronic devices is times the number of hours spent playing sports" is:

If a student spends 30 hours using electronic devices and 15 hours playing sports, then the number of hours spent using electronic devices is twice the number of hours spent playing sports.

We can express this relationship using variables as follows:

Let E be the number of hours spent using electronic devices, and let S be the number of hours spent playing sports. Then, we can write:

E = 2S

If we substitute 30 for E and 15 for S in this equation, we get

30 = 2(15)

This equation is true, which means that the relationship holds for these particular values of E and S.

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The major multivariate technique for examining variable interdependence is factor analysis.

Factor analysis is a multivariate statistical technique used to identify patterns in the relationships among a large number of variables. Specifically, it is used to examine variable interdependence, which refers to the degree to which variables are related to one another in a dataset.

In factor analysis, the goal is to identify underlying factors or dimensions that account for the observed patterns of correlation among the variables. By doing so, it is possible to reduce the number of variables to a smaller set of factors that capture the essential information contained in the original variables. This can be useful for a variety of purposes, such as data reduction, hypothesis testing, and exploratory data analysis.

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Answer:

A) 20 degrees

Step-by-step explanation:

The sine of an angle is equal to the cosine of the angles complimentary angle.

Answeri think its b lmk if im right or wrong :)

Step-by-step explanation:

The value of x is 7.

What are congruent triangles?

If all three of the matching sides and angles in two triangles are equal, the two triangles are said to be congruent.

It is given that the 2 triangles are congruent. So the matching sides are equal.

This means,  TR=MN

Substitute the side lengths

3x-1=20

Move -1 to the right side

3x=20+1=21

x=21/3=7

So, the value of x is 7.

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Answer:

that would be -11

Step-by-step explanation:

it is asking for the absolute value of -7-4 however absolute value is always positive once you solve that you have a negative symbol on the outside that turns ur answer negative

Answer:

- 3

Step-by-step explanation:

- | -7+4|

Determine inside the absolute value first

-7+4 = -3

Replace inside the absolute value

- |-3|

The absolute value means take the non negative value

|-3| =3

- 3

Answer:

the graph's slope-intercept is 3 or 3/1. you do this by finding the rise over run (how many squares does it go up, and how many does it go over).

The Y-intercept is -2. You can always find this by using the formula y= mx + b. Whatever number is in the place of "b" is the y-intercept.

I'm going to take a guess and say you're in Algebra 1. Either that or Pre-Algebra. This stuff took me a little while to full grasp, so don't worry! YOu'll understand it soon enough!

The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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Answer:

d. (- 2 , -7)

Step-by-step explanation:

When A( -2 , 7) is reflected over the x-axis A' will be located at ( -2 , -7)

Hope it will help ☺

Answer:

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution.

Step-by-step explanation:

The discriminant of the quadratic equation g is negative.

In algebra, the discriminant of a quadratic equation plays a crucial role in determining the nature of its roots. For a quadratic equation of the form ax² + bx + c = 0, the discriminant is given by Δ = b² - 4ac. Depending on whether the discriminant is positive, zero, or negative, we can determine the types of roots the equation possesses.

When the discriminant is negative, it implies that the quadratic equation has no real roots. In this case, the graph of the quadratic equation does not intersect the x-axis at all, indicating that it has complex roots. These complex roots are a pair of complex conjugates of the form (p + qi) and (p - qi), where p and q are real numbers and i is the imaginary unit (√(-1)).

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Answer:

There's no A so I'm going to assume you meant X

X = 23

Step-by-step explanation:

X is equal to 23, because 23 - 18 = 5

or 5 + 18 = 23

Answer:

60% is a C to a C+, its not bad.

Step-by-step explanation:

9514 1404 393

Answer:

  (1, 7)

Step-by-step explanation:

Fill in x=1 and do the arithmetic.

  h(1) = 4(1) +3 = 7

The coordinate pair is ...

  (x, h(x)) = (1, h(1)) = (1, 7)

(b) The probability that the melon will have a diameter greater than 137 mm is 0.401

(c) The probability that the melon will be from distributor j is 0.370

Here we have given that distributor k provides melons from nonorganic farms. the probability is 0.8413 that a melon selected at random from distributor k will have a diameter greater than 137 mm.

Now, the probability that the melon will have a diameter greater than 137 mm is calculated as,

P( x > 137) = 0.8413 for distributor k.

When we apply the value on it , then we get,

=> P(X > 137) = P( J over 137) + P(k over 137)

=> P(x > 137) = 0.70(0.212) + 0.30(0.8413)

=> P(X > 137) = 0.401

And the probability that the melon will be from distributor j is calculated as,

=> P(J over 137 ) = (0.70 x 0.212) / 0.401

=> P(J over 137) = 0.370

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Answer:

xy^(2)z^(6)

Step-by-step explanation:

i hope that helps  you :)

The resulting series is x × t + (x × t³)/2 + (3x × t⁵)/8 + (5x × t⁷)/16 + ..., representing the power series expansion of sin⁻¹(x).

Exercise 9.5.3 provides the integral representation of sin⁻¹(x) as ∫(x/\(\sqrt{1-t^{2}\) ) dt. To derive Newton's series for sin⁻¹(x), we need to integrate this expression.

We can start by expanding 1/\(\sqrt{1-t^{2}\) as a power series. Using the binomial series expansion, we have:

1/\(\sqrt{1-t^{2}\) = 1 + (t²/2) + (3t⁴/8) + (5t⁶/16) + ...

Now, we can integrate the expression x/sqrt(1 - t²) by integrating each term of the power series individually. The integral of x with respect to t is simply x × t. For each term in the power series, we integrate it by multiplying by t and dividing by the corresponding coefficient. This results in the following power series:

x × t + (x × t³)/2 + (3x × t⁵)/8 + (5x × t⁷)/16 + ...

This is Newton's series for sin⁻¹(x), expressed as a power series.

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Answer:

x= 8.2

Step-by-step explanation:

first we need to find the hypotenuse of the smaller triangle

3² + 4² = C

9 + 16 = 25

√25 = 5

now that we found the hypotenuse of the smaller triangle then we now find the hypotenuse of the larger one (x)

6.5² + 5² = C

42.25 + 25 = 67.25

√67.25 = 8.2

Answer:

-45

Step-by-step explanation:

Explanation:

For choice A, order matters. This is because of the positions of first place and second place are different from one another. Since order matters, we have a permutation for choice A and can rule it out.

Choices C and D are ruled out for the same reason.

Choice B is a combination. It doesn't matter what the order of the CDs are. All that matters is the group overall rather than the individual CDs.

The given statement is true.

What is matrices ?

    A matrix is a collection of numbers that are arranged in rows and columns to create a rectangular array. The elements of the matrix, also known as the entries, are the integers. Matrices are used extensively in many fields of mathematics as well as in engineering, physics, economics, and statistics.

Here ,

Create, Read or Reference, Update, and Delete are all parts of the acronym CRUD. These four interactions between classes in a system are feasible. In order to find possible partners while developing a communication diagram, an analyst would establish a CRUD matrix.

Here the CRUD matrices are created by lists the classes across the top and down of the side.

Hence the given statement is TRUE.

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Answer:

72pi

Step-by-step explanation:

(b) 734.0 ft-lbs of work is done.

To find the work done by the force, we need to use the formula:

Work = force x distance x cos(θ)

where:

force = 56 pounds (the given constant force)

distance = 16 feet (the distance the door is being pulled)

θ = 35 degrees (the angle between the force and the displacement of the door)

We need to convert the angle to radians to use it in the formula:

theta = 35 degrees x (pi/180) = 0.6109 radians

Now we can substitute the values into the formula:

Work = 56 pounds x 16 feet x cos(0.6109 radians)

Work = 734.0 ft-lbs (rounded to one decimal place)

Therefore, the answer is (b) 734.0 ft-lbs.

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Answer:

b). 3 8/33

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

x - 54 + 32x = 53

Step 2: Solve for x

the work integral I along the given circle x^2 + y^2 = R^2 is 0.

Step 1: Determine the region enclosed by the given curve.

The curve is defined by x^2 + y^2 = R^2, which represents a circle with radius R. The region enclosed by this circle is the entire circle itself.

Step 2: Express the work integral in terms of Green's theorem.

The given work integral is I = ∫(-x^2 y dx + x y^2 dy).

To apply Green's theorem, we need to express the integral in terms of the partial derivatives of the functions involved. Let's define two functions, P(x, y) and Q(x, y), such that P(x, y) = -x^2 y and Q(x, y) = x y^2.

The theorem states that ∫(P dx + Q dy) = ∬(∂Q/∂x - ∂P/∂y) dA, where ∂Q/∂x and ∂P/∂y are the partial derivatives of Q and P with respect to x and y, respectively, and dA represents the area element.

Step 3: Evaluate the double integral using Green's theorem.

∬(∂Q/∂x - ∂P/∂y) dA = ∬((2xy - 2xy) dA) = 0.

Since the double integral evaluates to 0, the work integral is also equal to 0.

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the work integral I along the given circle x^2 + y^2 = R^2 is 0.

Step 1: Determine the region enclosed by the given curve.

The curve is defined by x^2 + y^2 = R^2, which represents a circle with radius R. The region enclosed by this circle is the entire circle itself.

Step 2: Express the work integral in terms of Green's theorem.

The given work integral is I = ∫(-x^2 y dx + x y^2 dy).

To apply Green's theorem, we need to express the integral in terms of the partial derivatives of the functions involved. Let's define two functions, P(x, y) and Q(x, y), such that P(x, y) = -x^2 y and Q(x, y) = x y^2.

The theorem states that ∫(P dx + Q dy) = ∬(∂Q/∂x - ∂P/∂y) dA, where ∂Q/∂x and ∂P/∂y are the partial derivatives of Q and P with respect to x and y, respectively, and dA represents the area element.

Step 3: Evaluate the double integral using Green's theorem.

∬(∂Q/∂x - ∂P/∂y) dA = ∬((2xy - 2xy) dA) = 0.

Since the double integral evaluates to 0, the work integral is also equal to 0.

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\(\text{To get the total surface area, all we have to do is multiply } 18 \text{ by } 12, \text{which gets us}\)\($18\cdot12 = \boxed{216\text{ ft}^2}\).

\(\text{So, our answer is } \boxed{216\text{ ft}^2}.\)

Larry needs 216 square feet of carpeting for her rectangular living room.

To find the amount of carpeting Larry needs, we need to calculate the area of her rectangular living room. The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the living room is 18 feet and the width is 12 feet.

So, the area of the living room is:

Area = Length * Width

Area = 18 feet * 12 feet

Area = 216 square feet

Therefore, Larry needs 216 square feet of carpeting for her living room.

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Answer:  This cannot be one of the two equal angles in the isosceles triangle as it violates the rule that sum of three angles of a triangle is equal to 180 degrees. Hence the remaining two angles contribute to the 180 - 96 = 84 degrees. And the two equal angles are 42 degrees each. In any case, <E is equal to 42 degrees.

To determine the solutions x⁵ + 2x³ = 3, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

Let's solve the equation step by step to find the solutions.

Starting with the given equation:

log₃(x) + log₃(x² + 2) = 1 - 2log₃(x)

Now, let's simplify the equation using logarithmic properties. The sum of logarithms is equal to the logarithm of the product, and the difference of logarithms is equal to the logarithm of the quotient:

log₃(x(x² + 2)) = 1 - log₃(x²)

Next, we can simplify further by using the properties of exponents. The logarithmic equation can be rewritten in exponential form as:

(\(3^{(log3(x(x^{2} +2)))} = 3^{(1-log3((x^{2}))}\)

The base of the logarithm and the exponent cancel each other out, resulting in:

x(x² + 2) = \(3^{(1-log3(x^{2}))}\)

Now, let's simplify the right-hand side by applying the power rule of logarithms:

x(x² + 2) = 3 / \(3^{(log3(x^{2} ))}\)

Since  \(3^{(log3(x^{2} ))}\)       is equal to x² by the definition of logarithms, the equation becomes:

x(x² + 2) = 3 / x²

Expanding the left-hand side:

x³ + 2x = 3 / x²

Multiplying through by x² to eliminate the fraction:

x⁵ + 2x³ = 3

This is a quadratic equation, which does not have a general algebraic solution that can be expressed in terms of radicals. Therefore, it is challenging to find the exact solutions analytically.

To determine the solutions, you can use numerical methods or approximation techniques to estimate the values of x that satisfy the equation.

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