Simplify
81
100
nswer

Step-by-step explanation:

5x - (x - 2) = 2/3 × (9x + 3) + 1

5x - x + 2 = 6x + 2 + 1

4x = 6x + 1

0 = 2x + 1

-1 = 2x

x = -1/2 = -0.5

Answer:

-7

Step-by-step explanation:

-10 - -3

- 10 + 3

-7

(a double negative becomes a positive)

Answer:

-7

Step-by-step explanation:

Answer:

45degrees

Step-by-step explanation:

Find the diagram attached

From the diagram m<L = m<O

GIven

m<L = 2x+20

m<O = 110degres

Equate

2x+20 = 110

2x = 110 - 20

2x = 90

x = 90/2

x = 45degrees

Hence the value of x is 45degrees

Answer:

Step-by-step explanation:

410 ft i think

Answer: 75.6

rounded= 76 ft

Step-by-step explanation:

Tan60= x/400 = 692.8

tan62.5= 4/400 =  768.4

x= 75.6ft

Answer:

35 quarter's and 5 dimes

On a grid/mesh with a step size of h=0.1 in [0,1], the initial value issue was solved using the Euler, explicit Trapezoid, and fourth-order Runge-Kutta techniques. The outcomes were displayed in a table, together with the global error and t values for each stage.

We have,

For the initial value issue x′=x² / t³; x(0)=1, use the fourth-order Runge-Kutta technique, the explicit Trapezoid method, and the Euler method on a grid or mesh with a step size of h=0.1 in [0,1].

Euler Method

t     Approximation     Global Error

0            1                        0

0.1        1.011                 -0.011

0.2       1.0454             -0.0454

0.3       1.1044              -0.1044

0.4       1.1921               -0.1921

0.5       1.3125              -0.3125

0.6       1.4713              -0.4713

0.7       1.6749             -0.6749

0.8        1.9301            -0.9301

0.9       2.2447           -1.2447

1             2.63             -1.63

Explicit Trapezoid Method

t     Approximation   Global Error

0          1                    0

0.1    1.0055           -0.0055

0.2   1.0246            -0.0246

0.3   1.0592           -0.0592

0.4   1.1021             -0.1021

0.5    1.1564

Here, The Euler method is a numerical technique for solving initial-value problems, which involves approximating the solution of a differential equation by the combination of a series of tangent lines.

A better form of the Euler technique is the explicit trapezoid approach, which determines the following approximation by averaging two slopes rather than using the slope at the previous point.

The fourth-order Runge-Kutta method is a technique that uses a weighted average of four different slopes at different points to the solution of a differential equation.

We used a grid/mesh with a step size of h=0.1 in [0,1] using the Euler technique, explicit Trapezoid method, and fourth-order Runge-Kutta method to solve the initial value issue. Each step's t values, estimates, and global errors were reported in a table.

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Answer:

A (13 units)

and E (the one you chose)

Step-by-step explanation:

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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The domain of the given function g(x) = (x - 1)² is (−∞,∞), {x|x∈R} which is shown in the graph and is defined by the set of values x.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given the function below as

g(x) = (x - 1)²

We have to determine the domain of the given function.

The domain of the function shown in the graph is given by the set of values x that has a point on the graph.

As per the given graph, the range is the set of values that correspond with the domain.

Domain: (−∞,∞), {x|x∈R}

and the function shows that values of x are real numbers.

Thus, the required domain of the given function is (−∞,∞), {x|x∈R}

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True. Time series data refers to a collection of observations gathered over time, where the time dimension is a critical component of the data.

Each data point is linked to a specific point in time. In contrast, cross-sectional data is collected at a single point in time and does not have a time dimension. Therefore, the timing of each observation is crucial in time series data but not as important in cross-sectional data.

Time series data is a sequence of data points indexed in time order. It is used to track change over time.

Cross-sectional data is a snapshot of data at a specific point in time. It is used to compare different groups or variables .

Think about how the time at which each observation is made affects the analysis of time series data and cross-sectional data.

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i is the equivalent resulting value

Given the expression below

√{-16}-√{-9}

We are to express it in standard form. Since the square root of a negative number is -1, hence:

√{-16} = √{-1} * √{16}

√{-16} = 4i

Similarly

√{-9} = √{-1} * √{9}

√{-9} = 3i

Substituting

√{-16}-√{-9} = 4i - 3i

√{-16}-√{-9} = i

Hence the resulting expression will be i

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Answer:

volume of rectangular prism =l×w×h

volume of rectangular prism =4cm×2cm×7cm

volume of rectangular prism =56cm³

Answer:

The volume of the rectangular prism is \(56cm^3\)

Step-by-step explanation:

To find the volume of a rectangular prism, you need to multiply the length, width, and height of the rectangular prism altogether. In this case, the length is 4cm, the width is 2cm, and the height is 7cm. So the volume of the rectangular prism would be \(7*2*4\) = \(7 * 8\) = \(56cm^3\).

Answer:

6

Step-by-step explanation:

if you calculate it all in, 6x4 is 29. so you do 1/2x29 and divide it by three, then add 2 to that and in conclusion its equal to 6 (im sure!!) ive double checked so go ahead put that answer in.

Answer:

[-1.8,0.03]

Step-by-step explanation:

This is how you use interval notation, square brackets means including the numbers, circular brackets means not including

Answer:

(-1.3,1.8]

Step-by-step explanation:

The inequality −1.3<x≤1.8 means "all numbers between −1.3 and 1.8." In interval notation, we express this as (−1.3,1.8]. Notice that we use a parenthesis to show that the number −1.3 is not included and a bracket to show that the number 1.8 is included.

Answer: \(\left[tex\right]-16t^2\:+64t+3\)

Step-by-step explanation:

\(\left(tex\right)-16t^2+64t+3\)

\(=tex-16t^2+64t+3\)

Answer:

The first answer choice is correct

Step-by-step explanation:

Answer:

a 106

b 92

Step-by-step explanation:

Hope this helps!

Answer:

\(92=B\\A=106\)

Step-by-step explanation:

So i did it like this

A= Train A B= Train B

\(A+B=198\\A-B=14\\A=198-B\\A=14+B\\(14+B)+B=198\)

\(14+2B=198\)

\(184=2B\\92=B\\A=106\)

CHECK:

\(106+92=198\\198=198\)

\(106-92=14\\14=14\)

The statement that is most likely to be true is "The present value factor is always less than 1, given that r < 0."

The future value factor is a multiplier that represents the growth or accumulation of a present value to a future value based on an interest rate (r) and time period. However, the future value factor is not always greater than 1, given that r > 0. The future value factor can be greater than 1 or less than 1, depending on the combination of interest rate and time.

Similarly, the present value factor represents the discounting of future cash flows to their present value. When the interest rate (r) is negative (r < 0), the present value factor will be less than 1. This is because negative interest rates imply a discounting effect, reducing the value of future cash flows to a lower present value.

Therefore, the statement that the present value factor is always less than 1, given that r < 0, is the most likely to be true, as it aligns with the concept of present value and the discounting effect of negative interest rates.

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The factors of the given expression are 2av² and (2av³-9).

The given expression is 4a²v⁵-18av².

The factors are the polynomials which are multiplied to produce the original polynomial.

2av²(2av³-9)

Therefore, the factors of the given expression are 2av² and (2av³-9).

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August is the eighth month of the year. Depending on the region and culture, August is known for a variety of historical and cultural events, as well as natural occurrences.

August is noted in the United States for National Women's Equality Day (August 26th), which honors the enactment of the 19th Amendment to the United States Constitution, which granted women the right to vote.

The Perseid meteor shower, which happens yearly between late July and late August and is visible from many parts of the world, is also celebrated in August.

August is connected with the harvest season in several cultures and is commemorated with numerous festivals and rituals.

August is also a popular month for vacations and travel, particularly in the Northern Hemisphere, where it corresponds with the summer season.

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Answer:

10

Step-by-step explanation:

Answer:

a = 3

b= -1  

c = 5

X = (-b +- sqrt [b^2 - 4ac]) / 2a

X = (--1 +- sqrt (1 - 4*3 * 5)) / 2* 3

x = (1 += sqrt (1 -60)) / 6

x1 = (1 + sqrt (-59)) / 6

x2 = (1 - sqrt (-59)) / 6

Source: http://www.1728.org/quadratc.htm

Step-by-step explanation:

The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).

To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.

Substitute 0 for y in the equation.0 = 3x - 1

Add 1 to both sides1 = 3x

Divide both sides by 3x = 1/3

The x-intercept of the line is (1/3, 0).

To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.

Substitute 0 for x in the equation.y = 3(0) - 1y = -1

The y-intercept of the line is (0, -1).

Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).

Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.

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Answer:

B

Step-by-step explanation:

We can use the rule [ x^y * x^z = x^y+z ] to simplify.

31^7 * 31^4

31^7+4

31^11

Best of Luck!

A polynomial function of degree n has at most n real zeros and at most n - 1 turning points.

A polynomial function is a mathematical expression involving a sum of powers in one or more variables (indeterminates) multiplied by coefficients. The degree of a polynomial is the highest power of the indeterminate in the expression. For example, the polynomial x^3 + 2x^2 - 5x + 6 is a polynomial of degree 3.

Turning points, also known as critical points, are points at which the function changes from increasing to decreasing or decreasing to increasing. For a polynomial function, the maximum number of turning points it can have is n - 1.

This is because a polynomial function of degree n can have at most n - 1 inflection points where the second derivative changes from positive to negative or negative to positive. These inflection points correspond to the local maximums or minimums of the polynomial function.

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Answer:

-12; 5

Step-by-step explanation:

x^2 + 7x - 60 = 0

D = b^2 - 4ac

D = 7 * 7 + 60 * 4 * 1 = 289

sqrt(D) = sqrt(289) = 17

x₁ = (-b - √D) / 2a = (-7 - 17) / 2 = -24 / 2 = -12

x₂ = (-b + √D) / 2a = (-7 + 17) / 2 = 10 / 2 = 5

Answer: If Peter bought 8 toys, the cost of the toys will be 29.

From the equation, y = 3x + 5, they have given the value of x as eight. So if we put eight in the equation and solve it, we will get the value of y. I believe there are some errors in the question as it doesn't specify that y is the cost. Also cost requires some sort of unit, which is not given in the context. I can't really tell if it is dollars or rubles or pounds etc. So I just gave it as the way it is. Since no other clues are given, this is most likely it.

y = 3x + 5

y = 3(8) + 5

y = 24 + 5

y = 29

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If two variables are correlated, a change in one must directly produce a change in the other. (False)

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. It is a value between -1 and 1 that represents the strength of the relationship between two variables.

False. If two variables are correlated, a change in one may or may not directly produce a change in the other. Correlation means that there is a relationship between two variables, but it does not necessarily mean that one causes the other. It's possible for two variables to be correlated without any causal relationship between them.

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The statement "If f is a smooth function, then curl(grad f) = 0i + 0j + 0k" is always true since it is possible for a smooth curl field G to have a non-zero divergence, meaning div G ≠ 0.

If f is a smooth scalar function, its gradient can be represented as grad f = ∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k, where ∂f/∂x, ∂f/∂y, and ∂f/∂z are the partial derivatives of f with respect to x, y, and z, respectively.

Taking the curl of grad f, we have curl(grad f) = ∇ × (∇f).

Now, the curl of a gradient is always zero. This can be shown using vector calculus identities:

∇ × (∇f) = (∂/∂x)i × (∂f/∂x)i + (∂/∂y)j × (∂f/∂y)j + (∂/∂z)k × (∂f/∂z)k = 0i + 0j + 0k.

Therefore, the statement "If f is a smooth function, then curl(grad f) = 0i + 0j + 0k" is true.

On the other hand, the statement "If G is a smooth curl field, then div G = 0" is false.

A smooth curl field G is a vector field in which the curl (∇ × G) exists and is continuous. The divergence (∇ · G) of a vector field G is unrelated to its curl. The divergence measures the net flow of the vector field from a point, while the curl measures the rotation or circulation of the vector field.

Therefore, it is possible for a smooth curl field G to have a non-zero divergence, meaning div G ≠ 0. The statement "If G is a smooth curl field, then div G = 0" is false.

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