(4x⁴-4x²-x-3) ÷ (2x²-3)


so far i have 2x²+1+?/2x²-3
what is the question mark? ​

y represents the number of times the arrow landed in the bull's-eye

Answer:

2/5 are gold

Step-by-step explanation:

24 would be gold, and 24/60 can simplify to 4/10, and can them simplify again to 2/5.

:))

Answer:

\(\frac{2}{5}\) of the stars are gold.

Step-by-step explanation:

No. of gold stars

= (60÷10)×4

= 6×4

= 24

Hence, fraction of stars that are gold = \(\frac{24}{60}\) = \(\frac{2}{5}\)

To find the intersection point between the curve y = tan(x) and the line y = 7x, we can use Newton's method. Newton's method is an iterative numerical method used to approximate the root of a function.

We need to find the x-value where the curves intersect, so we can set up the equation tan(x) - 7x = 0. We want to find a solution between x = 0 and some unknown value denoted as X.

Using Newton's method, we start with an initial guess x_0 for the solution and iterate using the formula:

x_(n+1) = x_n - f(x_n) / f'(x_n),

where f(x) = tan(x) - 7x and f'(x) is the derivative of f(x).

We continue this iteration until we reach a desired level of accuracy or convergence. The resulting value of x will be the approximate intersection point between the two curves.

Please note that without specific values or range for X or an initial guess x_0, it is not possible to provide a specific numerical answer. However, you can apply Newton's method using an initial guess and the given function to find the approximate intersection point.

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To find the parametric equations for the normal line to the surface at the given point, we need to find the gradient vector of the surface equation and use it to determine the direction of the normal line.

To find the gradient vector, we take the partial derivatives of the surface equation with respect to x, y, and z. The gradient vector will have components corresponding to the partial derivatives:

∂f/∂x = 2x - 2yz,

∂f/∂y = -2xz + 2y,

∂f/∂z = -2xy - 8z.

Evaluating these partial derivatives at the point (-1, -1, -1), we get:

∂f/∂x = -2 + 2 = 0,

∂f/∂y = -2 - 2 = -4,

∂f/∂z = -2 + 8 = 6.

Therefore, the gradient vector at (-1, -1, -1) is (0, -4, 6). This vector gives us the direction of the normal line.

We can write the parametric equations of the normal line as:

x = -1 + 0t,

y = -1 - 4t,

z = -1 + 6t,

where t is a parameter that represents the distance along the normal line from the given point (-1, -1, -1). These parametric equations represent a line that is perpendicular to the surface at the point (-1, -1, -1). By varying the parameter t, we can trace the normal line in both directions from the given point on the surface.

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Answer: Option C.

Step-by-step explanation:

Ok, first, a linear function is something of the shape of:

y = a*x + b.

And the graph of those functions is a line, as the name implies, so we can discard that option.

So this must be a non-linear function, you can see that is a function because each value of x has only one value of y related to it.

Second, in a Venn diagram you will see that the set of functions is contained into the set of relationships, this means that all the functions are relationships, but not all the relationships are functions, and we know that this is a non-linear function, so this also must be a relationship.

Then the correct option is C, nonlinear, and a relationship.

The area of the square is 1/4inches² in square inches

The area of a square is calculated by multiplying its two sides, that is area = s × s, where, 's' is one side of the square.

The square has side of length = 6/12

this can be simplified as 1/2

so

area of the square = (1/2 × 1/2) inches ²

area of the square = 1/4inches²

Thus, the area of the square is calculated using area = s × s, as 1/4inches²

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Answer:

In the standard form of a quadratic equation, y = ax^2 + bx + c, changing the value of the h variable inside the parentheses of the x term, y = a(x - h)^2 + k, will shift the vertex of the parabola horizontally by h units.

If h is positive, the vertex will shift to the right, and if h is negative, the vertex will shift to the left. The amount of the shift is determined by the absolute value of h. For example, if h = 2, the vertex will shift to the right by 2 units.

Note that changing the value of h does not affect the shape of the parabola or its orientation. It only changes the position of the vertex.

Using sine rule formula to resolve the value for angle D

The sine rule formula is,

Given:

Therefore,

Simplify

Hence, the answer is

Answer:

"The variance of the sample mean is equal to the population variance divided by n" is true.

a. For n sufficiently large, the distribution of the sample mean depends on the distribution of the population mean.

e. For any n, the sample mean is approximately normally distributed.

f. For n sufficiently large, the sample mean is exactly normally distributed.

g. For n sufficiently large, the sample mean is approximately normally distributed.

h. The variance of the sample mean is equal to the population variance divided by n.

For a given sample, if n is sufficiently large then the distribution of the sample mean relies on the mean and standard deviation of the population. Hence, the statement, "For n sufficiently large, the distribution of the sample mean depends on the distribution of the population mean," is true.

For any n, the distribution of the sample mean follows the normal distribution with mean µ and standard deviation σ/√n. Hence, the statement "For any n, the sample mean is approximately normally distributed," is true.

For large n, the sample mean approximately follows the normal distribution and for larger n, it exactly follows the normal distribution. Hence, the statement "For n sufficiently large, the sample mean is exactly normally distributed" and the statement "For n sufficiently large, the sample mean is approximately normally distributed" are true.

The variance of the sample mean is equal to the population variance divided by n.

Hence, the statement "The variance of the sample mean is equal to the population variance divided by n" is true.

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Answer:

c= sqrt149; 12.2 rounded

Step-by-step explanation:

Pythagorean Theorem to find c(hypotenuse): a^2+b^2=c^2

7^2+10^2=149

sqrt149= 12.2 rounded

Answer:

z = 35

Step-by-step explanation:

Use the triangle angle sum theorem which states that the interior angles of a triangle sum to 180 degrees. The angles it refers to are the angle measures at each vertex. (Each point of the triangle)

You do not need x and y for this question. They are not angle measures at the vertex.

22+19+104+ z = 180. Combine like terms.

145+z= 180. Subtract 145 from both sides.

z= 35

Answer:

I think the answer is 144 m

Step-by-step explanation:

pls rate and like!

Answer:

Step-by-step explanation:

The linear equation on the given graph can be written as:

y = (-1/4)*x - 6

The general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the line intercepts the y-axis at y = -6, then the value of b is -6, so we can write:

y = a*x - 6

To find the value of the slope we can use another point on the graph, we can see that the line passes through (-8, -4)

Replacing these values we get:

-4 = a*-8 - 6

-4 + 6 = -8a

2/-8 = a

-1/4 = a

The linear equation is:

y = (-1/4)*x - 6

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Answer:

C) \(17\sqrt{13}\)

Step-by-step explanation:

\(-2\sqrt{13} +19\sqrt{13} \\\\17\sqrt{13}\)

Answer:

Attached is what the graph should look like.

Step-by-step explanation:

|2x + 2| > 4

Separate the equations into two different ones:

2x + 2 > 4                                                    2x + 2 < - 4

     - 2  - 2                                                         - 2     - 2

2x > 2                                                           2x < -6

/2   /2                                                            /2    /2

x > 1                                                              x < -3

Hope this helps!

Answer:

5 11/50

Step-by-step explanation:

i used an online calculator and thats what it said

Answer:

5 2/9

Step-by-step explanation:

As W is spanned by n linearly independent vectors in ℝ^n, it means that the dimension of W is also n. This implies that W has the same dimension as ℝ^n, and therefore, W is equal to ℝ^n.

If w is a subspace of rnspanned by n non zero orthogonal vectors, then w is at most n-dimensional because there are only n vectors that can be used to span w. Any vector outside of the span of these n vectors will not be in w. Therefore, the dimension of w is less than or equal to n. Since w is a subspace of rn, which is n-dimensional, w must be a subset of Rn with a dimension less than or equal to n. Therefore, w d Rn. Suppose W is a subspace of ℝ^n spanned by n nonzero orthogonal vectors. This means that W is a vector space that is a subset of ℝ^n, and it can be generated by taking linear combinations of the n nonzero orthogonal vectors. Since the vectors are orthogonal, they are linearly independent, and their linear combinations form a basis for the subspace W.

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Step-by-step explanation:

the points are undefined

yeah I gotchuuu

a. The value of f'(x) = 8x³.

b. The gradient of the graph of f at x = -1 is -8.

c. The point (x₁, y₁) is (-1, 3).

d. The equation of the normal line when x = -1 is y = (1/8)x + 25/8.

a. Using the power rule, we differentiate each term:

f'(x) = d/dx (2x⁴) + d/dx (1)

Differentiating 2x⁴

f'(x) = 2 * 4x³ + 0

= 8x³

b. To find the gradient of the graph of f at x = -1, we substitute x = -1 into the derivative we found in part a.

f'(-1) = 8(-1)³

= 8(-1)

= -8

The gradient of the graph of f at x = -1 is -8.

c. We already know that the gradient (m) is -8, and the point (x₁, y₁) is (-1, f(-1)). We can find f(-1) by substituting x = -1 into the original function:

f(-1) = 2(-1)⁴ + 1

= 2(1) + 1

= 2 + 1

= 3

So the point (x₁, y₁) is (-1, 3).

Using the point-slope form of the line equation, we can substitute the values:

y - 3 = -8(x - (-1))

y - 3 = -8(x + 1)

y - 3 = -8x - 8

y = -8x - 5

Therefore, the equation of the tangent line when x = -1 is y = -8x - 5.

d. The normal line is perpendicular to the tangent line. The gradient of the normal line is the negative reciprocal of the gradient of the tangent line.

The gradient of the tangent line we found in part c is -8. Therefore, the gradient of the normal line is -1/(-8), which simplifies to 1/8.

Using the point-slope form of the line equation, we substitute the gradient (1/8) and the point (x₁, y₁) = (-1, 3):

y - 3 = (1/8)(x - (-1))

y - 3 = (1/8)(x + 1)

y - 3 = (1/8)x + 1/8

y = (1/8)x + 25/8

Therefore, the equation of the normal line when x = -1 is y = (1/8)x + 25/8.

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Answer:

4y

Step-by-step explanation:

A coefficient is a number with a variable and no sign in between them.

The numerical coefficient in the polynomial 4y+ 6 is 4.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of phrases. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, this proposition is denoted by the equation x/2 + 6.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given expression:

4y + 6

As, A coefficient is a number that is multiplied by a variable in an expression.

here the term that contain variable is 4y.

So, the coefficient is 4.

Hence, the numerical coefficient in the polynomial 4y+ 6 is 4.

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The amount you will pay back by the end of the term is; 162.18 dollar.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + r)^{t}\)

Given that you borrow $101 at 7% compounded annually for seven years, then we have;

P = 101 dollar

Rate = 7%

Times = 7 yr

Therefore,

\(a = p(1 + r)^{t}\)

\(a = 101(1 + 0.07)^{7}\\\\a = 101 (1.07)^7\\\\a = $162.18\)

Hence, The amount you will pay back by the end of the term is; 162.18 dollar.

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The two triangles in this problem are similar as they have proportional side lengths.

Similar triangles are triangles that share these two features presented as follows:

The side lengths in the right triangles are proportional, as:

As the side lengths are proportional, the hypotenuse lengths for each triangle are also proportional, hence the triangles are similar.

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The required measure of the angle ∠spq of a rhombus is 110°.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
For rhombus,
m∠spr=(2x + 15)°
m∠qpr=(3x−5)°

And,
m∠spr = m∠qpr
2x + 15 = 3x - 5
x = 20

Now,
∠spq = m∠spr + m∠qpr
        = 2x + 15 + 3x - 5

        = 5x + 10
        = 5(20) + 10
        = 110°

Thus, the required measure of the angle ∠spq of a rhombus is 110°.

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1. A

2. A

3. D

4. A

5. D

6. A

7. B

8. C

9. D

Answer:

The probability of not succeeding next attempt is 7/16

Step-by-step explanation:

Here in this question, we are asked to write the probability of not succeeding in the next attempt given that he attempted 9 success out of 16 trials.

To calculate this probability of not succeeding, we need to get it from the number of unsuccessful throws.

Thus, if 9 throws are successful out of 16, then the number of unsuccessful throws will be 16-9 = 7

So the probability of not succeeding on next attempt will be 7/16

The first part of the function is a constant function, so its Fourier Transform is zero. The second part of the function is a linear function, so its Fourier Transform is a constant times

the Fourier Transform of the given function:

F(w) = where and is the Heaviside step function.

To find the Fourier Transform of the given function, we can use the following steps:

Start with the definition of the Fourier Transform:

F(w) = ∫ f(x) e^(-iwx) dx

Substitute the given function into the formula:

F(w) = ∫ 1 - x/2 0 -1 otherwise e^(-iwx) dx

Split the integral into two parts:

F(w) = ∫ 1 e^(-iwx) dx + ∫ -x/2 e^(-iwx) dx

Evaluate the first integral:

∫ 1 e^(-iwx) dx = -i/w

Evaluate the second integral:

∫ -x/2 e^(-iwx) dx = i/(2w) (e^(-iwx) - e^(iwx))

Add the two integrals to get the final answer:

F(w) =

The given function is a piecewise function, so we need to use the Heaviside step function to evaluate the Fourier Transform. The Heaviside step function is defined as follows:

H(x) = where is a real number.

In this case, the Heaviside step function is used to represent the two parts of the given function. The first part of the function is zero for

and one for. The second part of the function is zero for and

The Fourier Transform of a piecewise function can be found using the following steps:

For each part of the function, find the Fourier Transform of the function.

Add the Fourier Transforms of each part to get the final answer.

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Answer:

7460

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

7460

Answer:

a = 7.46

7.46 x 103

103 = 1,000 x 7.46 = 7,460

here your answer

hope it helps you

The mean of the given set is 3.54, the median is 4, and the mode is 2, which appears most frequently.

To find the mean, median, and mode of the given set of numbers: 5, 4, 2, 1, 6, 5, 3, 2, 4, 2, 5, 5, 2, we can follow these steps:

Mean:

The mean is calculated by adding up all the numbers in the set and dividing by the total count. Adding up the numbers, we get:

5 + 4 + 2 + 1 + 6 + 5 + 3 + 2 + 4 + 2 + 5 + 5 + 2 = 46

Dividing by the count (13 in this case), we find the mean:

Mean = 46 / 13 = 3.54 (rounded to the hundredth place)

Median:

To find the median, we arrange the numbers in ascending order:

1, 2, 2, 2, 2, 3, 4, 4, 5, 5, 5, 5, 6

The median is the middle number in the set. Since there are 13 numbers, the middle number is the 7th number, which is 4.

Median = 4

Mode:

The mode is the number(s) that appear most frequently in the set. In this case, the number 2 appears most frequently (4 times), making it the mode.

Mode = 2

Therefore, the mean is 3.54, the median is 4, and the mode is 2.

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