Priya wants to transform the graph of f by stretching it horizontally by a factor of 5 . She says that an equation for her new function p in terms of f is p(x)=f(5x) which means p(x)=(5x)2+3 . Is Priya's equation correct?

To find the probability that the equipment is functioning properly, we need to consider the cases where 6, 7, 8, or all 9 components are operational.

Let's calculate the probability for each case and add them together.
For 6 components to be operational, we have to choose any 6 out of the 9 components. The probability of each chosen component working is p, and the probability of each unchosen component failing is (1 - p). So, the probability for 6 operational components is (9 choose 6) * \(p^6 * (1 - p)^3.\)
Similarly, for 7 operational components, the probability is (9 choose 7) \(* p^7 * (1 - p)^2.\)
For 8 operational components, the probability is (9 choose 8) * \(p^8 * (1 - p).\)
Lastly, for all 9 components to be operational, the probability is\(p^9.\)
Adding up these probabilities will give us the overall probability that the equipment is functioning properly.

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The third side is 4

So Pythagorean's theorem is the following

\(Short^2 + Long^2 = Hypotenuse^2\)

From here we can input the following information that we know

\(Short^2 + \sqrt{33}^2 = 7^2\\Short^2 + 33 = 49\\Short^2 = 49 - 33\\Short^2 = 16\\Short = \sqrt{16}\\Short = 4\)

Points have no size and no dimension

Points have no length or height.

option C and D are the correct answers.

A point is an exact location without any size or does not have any length, area, volume or any other dimensional attribute. It is normally shown by a dot.

The following are the characteristics of points;

Thus, from the given options; the characteristic of points are;

Points have no size and no dimension

Points have no length or height.

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Answer:

\(\dfrac{2}{3x-2} + \dfrac{1}{x+2}\)

Step-by-step explanation:

Use partial fraction decomposition to split up the following complex fraction.

\(\dfrac{5x+2}{3x^2+4x-4}\\\\\\\hrule\)

Here's a step-by-step guide on how to perform partial fraction decomposition:

Step 1: Determine the proper form of the fraction

Step 2: Factor the denominator

Step 3: Write the partial fraction decomposition equation

\(\dfrac{A_1}{factor_1}+ \dfrac{A_2}{factor_2} + ... + \dfrac{A_n}{factor_n}\)

Step 4: Determine the unknown coefficients

Step 5: Express the unknown coefficients

Step 6: Write the final partial fraction decomposition

Step 7 (Optional): Simplify and evaluate if necessary

\(\hrulefill\)

Step 1 -

The degree is determined by the highest power of x that appears in the expression.

\(\dfrac{5x+2}{3x^2+4x-4}\)

Observing our given expression, we see that the degree of the numerator is 1 and the degree of the denominator is 2. Thus, we can proceed with partial fractions.

Step 2 -

We have,

\(3x^2+4x-4\)

We can factor the denominator using grouping.

\(\Longrightarrow 3x^2+4x-4\\\\\\\Longrightarrow 3x^2+(-2+6)x-4\\\\\\\Longrightarrow 3x^2-2x+6x-4\\\\\\\Longrightarrow x(3x-2)+2(3x-2)\\\\\\\Longrightarrow (3x-2)(x+2)\)

Now we have,

\(\dfrac{5x+2}{3x^2+4x-4} \Longrightarrow \dfrac{5x+2}{(3x-2)(x+2)}\)

Step 3 -

For step three, instead of writing "A_1, A_2, ..." I will use "A, B, ..."

\(\dfrac{5x+2}{(3x-2)(x+2)}=\dfrac{A}{3x-2} + \dfrac{B}{x+2}\)

Step 4 and 5 -

\(\dfrac{5x+2}{(3x-2)(x+2)}=\dfrac{A}{3x-2} + \dfrac{B}{x+2} \Big](3x-2)(x+2)\\\\\\\\\Longrightarrow 5x+2=A(x+2)+B(3x-2)\\\\\\\\\Longrightarrow 5x+2=Ax+2A+3Bx-2B\\\\\\\\\Longrightarrow 5x+2=(A+3B)x+(2A-2B)\)

Using the method of comparison. We get the following system of equations,

\(\left \{ {{5=A+3B} \atop {2=2A-2B}} \right.\)

After solving the system we get A=2 and B=1.

Step 6 -

\(\dfrac{5x+2}{(3x-2)(x+2)}=\boxed{\boxed{\dfrac{2}{3x-2} + \dfrac{1}{x+2}}}\)

Thus, the problem is solved.

Answer:

2,444,444,442

Step-by-step explanation:

Answer:

The center is (4, 7), and the radius is 3.

\( {(x - 4)}^{2} + {(y - 7)}^{2} = 9\)

MN = 17.09 cm

NMV = 16.31°

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid is short for "like a cube." A cuboid is similar to a cube in that a cuboid can become a cube by varying the lengths of the edges or the angles between the faces.

MV = 1/2 VS = 6cm (midpoint)

NV= 1/2YV = 5cm (midpoint)

MV = \(\sqrt{MV^2 + UV^2} = \sqrt{6^2 + 16^2} = 17.09cm\)

MN = \(\sqrt{MU^2 + NU^2} = \sqrt{6^2 + 16^2 + 5^2} = 17.80cm\)

tanNMV= 5/17.09

= 16.31°

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In this case I believe you would add 25 to both sides. The -25 +25 would cancel out and then +25 would be on the right.

Answer: The square root of 45 is a like radical to 3 x √5.

To see why, we can simplify each radical using the product rule of radicals:

3 x √5 = √(3^2 x 5) = √45

Similarly, we can simplify the square root of 45 using the prime factorization of 45:

√45 = √(3 x 3 x 5) = 3√5

Therefore, 3 x √5 is a like radical to √45, and vice versa.

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

TRUST ME BRO

Answer:

X = 0, Y= -2

Step-by-step explanation:

Compare the x and y coordinate values

3x + 2y =-4_______(1)

2x - y = 2 ________(2)

Multiply the (2) with 2

4x - 2y = 4

and add the new equation to (1)

3x + 2y =-4

4x - 2y = 4

____________

7x = 0

X = 0

Substitute x value into (1)

3 *0 + 2y = -4

0 + 2y =-4

2y =-4

Y= -2

Answer:

x3(2x5)-4(2x5

Step-by-step explanation:

Hope that helps

Answer:

B) x3(2x + 5) – 4(2x + 5)
Included the whole page!!

☆
EDGE2022; Good Luck :3!!!

Answer:

a=4

Step-by-step explanation:

3a=12

a=12/3

a=4

b+3.3=8.9

b=8.9-3.3

b=5.6

1=14c

1/14=14c/14

1/14=c

512=d+14

512-14=d

498=d

2e=6.4

2e/2=6.4/2

e=3.2

Answer: 65+75+2x=180

Solve that ^

Step-by-step explanation:

So you know a triangle adds up to 180 so put it all in an equation (please mark this brainliest)

When taking a measurement using a device with an analog scale, we can determine the last digit in the number you report by Add one estimated value aside from the value given by the analog scale. The estimate will be your best guess on where it falls relative to the object measured.

Analog scales are a type of scale operated manually without using electricity to determine the weight of a weighted object. The definition of scales can be concluded as a tool that has the function of measuring or knowing the mass of an object/substance.

Analog scales existed before the use of electronic/electrical technology on analytical scales. The working principle of analog scales is based on the gravitational swing arm balance.

This is where it is important for you to know the meaning of balances / scales and how to use them.

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Answer:

We should shade 37 out of 100 boxes

Step-by-step explanation:

37%

Percent means out of 100

37/100

We should shade 37 out of 100 boxes

The p-value for this left-tailed test is 0.12. This means that if the null hypothesis is true and the true population mean is equal to the hypothesized value.

Assuming a normal distribution with a left-tailed test, a Z-score of -1.18 corresponds to a p-value of approximately 0.119.

To find the p-value, we can look up the area to the left of the Z-score (-1.18) in a standard normal distribution table or use a calculator. The area to the left of -1.18 is 0.119, or approximately 0.12 when rounded to three decimal places. Therefore, the p-value for this left-tailed test is 0.12. This means that if the null hypothesis is true and the true population mean is equal to the hypothesized value, there is a 12% chance of observing a sample mean as extreme as or more extreme than the one we observed.

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The incorrect expression for slope is Option(B) and Option(C) .

The slope of a straight line gives the measure of its steepness or inclination and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.

The slope for a straight line is represent as -

m = run/rise = (y2 - y1)/(x2 - x1) = Δy/Δx .

where x1,x2 are x coordinates of the straight line and y2,y1 are y-coordinates of the straight line.

Thus Option(B) is not the correct expression as (x2 - x1)/(y2 - y1) is not correct.

Also in Option(C), it is said that the change in dependent variable to change in independent variable , where we do not know whether x and y are dependent or independent variable to measure the slope.

Thus Option(C) is also incorrect.

Therefore, the incorrect expression for slope is Option(B) and Option(C) .

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SOLUTION

The diagram below would be very helpful in answering the question

(a) to find f'(-2), we find the slope m of the line that I have made in red.

We use the points (-1, 0) and (-3, 1) we have

Hence the answer is

(c) We should determine x, where f'(x) = 0

Now f'(x) = 0 at a where we call the maximum point. That is the highest point of the graph curved as "n" From the figure above we can see that at this point, y is 3, also tracing down to the x-axis plane, can see that x = 3

Hence the answer is x = 3

Answer:Total hours worked by John in his garden=3 5/8 hours.

Step-by-step explanation:

Time spent planting =1 1 /2 hours planting

Time spent trimming = 2 1 /8 hours

Total hours worked by John in his garden= Time spent planting +Time spent trimming

=1 1/2 + 2 1/8( add whole numbers together and fractions together)

= 3 4+1 /8

3 5/8 hours.

Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.

Therefore,

\(x^(3+5) = x^8\)

Now,

\(x^(3+5) = x^8\)

is of the form:

\(x^b = x^p\)

When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,

p = 8

There we have it. The value of p is 8. The full solution is shown below:

\(x^3 × x^5 \\= x^px^8\\ = x^p\)

We can see that the base of the exponential expression on either side is equal.

Therefore, the power of the base must be equal as well. In other words

,p = 8.

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Answer:

42.9% or 43%

Step-by-step explanation:

270÷630=0.4285714286

0.4285714286 × 100 = 42.85714286

Rounded - 42.9% or 43%

Answer:

-x + 2y + 1 > 0

Step-by-step explanation:

Let's find the equation of the dashed line first. From the graph, we can see that it has a slope of 1/2 and a y-intercept of -1/2 so using slope-intercept form, the equation of the line is y = 1/2x - 1/2. Since the line is dashed and not solid, we know that we will use either < or > instead of ≤ or ≥, and because we can see that the shaded region is above the dashed line, we know that the linear equation is y > 1/2x - 1/2. However, we want the answer to be in the form ax + by + c > 0 where a, b, and c are integers so therefore:

y > 1/2x - 1/2

= 2y > x - 1

= -x + 2y + 1 > 0

A linear inequality is an expression which make comparison between linear expressions using inequalities. The linear inequality of the graph is: \(-x + 2y +1 > 0\)

First, we calculate the slope of the dashed line using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Two points on the graph will be:

\((x_1,y_1) = (1,0)\)

\((x_2,y_2) = (3,1)\)

The slope (m) is:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{1-0}{3-1}\)

\(m = \frac{1}{2}\)

The equation of the line is calculated as:

\(y = m(x - x_1) + y_1\)

So, we have;

\(y = \frac12(x - 1) + 0\)

\(y = \frac12(x - 1)\)

Multiply through by 2

\(2y= x - 1\)

Now, we convert the equation to an inequality.

The line on the graph is a dashed line. This means that the inequality is either > or <. Also, the upper region of the graph that is shaded means that the inequality  is >.

So, the equation becomes

\(2y > x-1\)

Rewrite as:

\(-x + 2y +1 > 0\)

So, the linear inequality is: \(-x + 2y +1 > 0\)

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A M function file 'tconvert.m', which can convert coordinates (x, y) into Polar from Cartesian coordinates. is:
"```matlab
function [theta, r] = tconvert(x, y)
```"

To create the M function file 'tconvert.m' that converts Cartesian coordinates (x, y) into Polar coordinates, follow these steps:

1. Open the MATLAB Editor or any text editor and create a new file named 'tconvert.m'.

2. In the file, start with the function declaration line: `function [theta, r] = tconvert(x, y)`.

3. Inside the function, write the conversion code using MATLAB's built-in functions:

  - Calculate the angle theta using `atan2(y, x)`, which returns the angle in radians.

  - Calculate the radius r using `sqrt(x^2 + y^2)`, which gives the distance from the origin.

4. End the function with the `end` keyword.

5. Save the file in a directory accessible by MATLAB.

The function 'tconvert' takes the Cartesian coordinates (x, y) as input and returns the corresponding Polar coordinates (theta, r). The angle theta represents the direction in radians, and the radius r represents the distance from the origin.

The function can be called from the MATLAB command window or from another script or function file.

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Complete question:

Write a M function file 'tconvert.m', which can convert from Cartesian coordinates (x,y) into Polar coordinates.

Answer:false

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

f(x) = 2x³ - \(\frac{3}{2}\) x² - 4x + 6

g(x) = \(\frac{1}{2}\) ( 4x³ - 3x² - 8x + 12) ← multiply each term in the parenthesis by \(\frac{1}{2}\)

      = 2x³ - \(\frac{3}{2}\) x² - 4x + 6

     = f(x)

Then f(x) and g(x) are equal polynomials

The matrix A of T is:

A = [[5, 3], [-5, 1]]

We know that a linear transformation is completely determined by its action on the basis vectors. In this case, we are given the images of the standard basis vectors [1, 0] and [0, 1].

The matrix A of the linear transformation T is given by:

A = [T([1, 0]), T([0, 1])]

So we just need to compute T([1, 0]) and T([0, 1]).

Using the linearity of T, we have:

T([1, 0]) = T(1*[1, 0] + 0*[0, 1]) = 1T([1, 0]) + 0T([0, 1])

= [5, -5]

and

T([0, 1]) = T(0*[1, 0] + 1*[0, 1]) = 0T([1, 0]) + 1T([0, 1])

= [3, 1]

Therefore, the matrix A of T is:

A = [[5, 3], [-5, 1]]

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Answer:

Step-by-step explanation:

\(f(x) = \frac{2x}{3x^2 - 3} \\\\ Domain: \\ 3x^2 - 3 ≠ 0 \\ 3x^2 ≠ 3 \\ x^2 ≠ 1 \\ x ≠ \pm 1\)

D = {x E R/ x ≠ 1 and x ≠ - 1}

I Hope I've helped you.

Answer:all real numbers except -1 and 1

Step-by-step explanation:

End behavior -The graph approach 0 as x approaches negative infinity

"An empty set is included in set N" is the translation of the mathematical sentence.

A set is defined as a collection of well-defined objects, numbers or things. In set theory, we use different symbols to represent statements.

To translate Ø⊆N, we need to know the meaning of the symbols we have:

Ø means empty set (A set that does not contain anything).

⊆ means subset (is included in)

N means set N

So we can translate  Ø⊆N as:

An empty set is included in set N or

Therefore, the mathematical sentence Ø⊆N can be translated as "an empty set is included in set N"

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The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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