The Factoring is True or False

Answer:

A

Step-by-step explanation:

Because I am smart and u best mark me brainlist

9514 1404 393

Answer:

  ? = √87 ≈ 9.33

Step-by-step explanation:

The square of the hypotenuse (h) of the small triangle is the sum of the squares of its legs.

  h^2 = 5^2 + 12^2 = 25 +144 = 169

The square of the hypotenuse of the large triangle is also the sum of the squares of its legs.

  h^2 +?^2 = 16^2

  169 +?^2 = 256

  ?^2 = 256 -169 = 87

Taking the square root, we find the missing leg length to be ...

  ? = √87 ≈ 9.33

Answer:

780

Step-by-step explanation: The answer is 780!

Given

The representation on the unit circle is shown below

Going round the circle in the negative direction, we realize

Answer:

|x|=6 we have x1=-6 x2=6

|x|=3.2 we have x1=-3.2 x2=3.2

|x|=0 x=0

Answer:

A. 3 hours

Step-by-step explanation:

40 mph x 3 hours = 120 miles in 3 hours

55 mph x 3 hours = 165 miles in 3 hours

120 miles (in 3 hours) + 165 miles (in 3 hours) = 285 miles

Answer:

Step-by-step explanation:

Binomial is a factor of the polynomial.

Answer:

y = - 9x + 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )

m = \(\frac{-31-50}{5-(-4)}\) = \(\frac{-81}{5+4}\) = \(\frac{-81}{9}\) = - 9 , then

y = - 9x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, - 31 )

- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )

14 = c

y = - 9x + 14 ← equation of line

Answer:

6

Step-by-step explanation:

They are asking you to plug in 2 for the g(x) equation

5(2)-4=6

Answer:

2,210

Step-by-step explanation:

Answer:

-453/15 = -30.2

Answer:

-30.2 or -30 1/5

Step-by-step explanation:

The coordinate of D after the required transformation is (4,2).

A function, f, that maps to itself is known as a transformation, or f: X X. The original image X is transformed into the final image X. This transformation can use any operation, or a combination of operations, including translation, rotation, reflection, and dilation. Through the use of translation, rotation, reflection, and dilation, a function can be shifted in one direction or another. Rotation around a point is another method for scaling a function.

Mathematical figures in two dimensions move about a coordinate plane in accordance with transformations.

Here in the question,

The coordinate of D after the required transformation is (4,2) as the value of x changes from x to x+3.

-5+3 = 2.

So, -2 and -2 is the new coordinate.

Now after reflection, the final coordinates are:

(4,2).

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You can't find slope intercept form because it is perpendicular so the equation is x= -8

Answer:

What grade is this?

Step-by-step explanation:

The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.

To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.

Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the large can has a volume of 24oz, so we have:

24 = πR^2h

Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:

24/8 = πR^2h / πr^2h

Simplifying the equation, we have:

3 = (R^2h) / (r^2h)

Since the height cancels out, we can rewrite the equation as:

3 = R^2 / r^2

To find the ratio of the surface areas, we square both sides of the equation:

9 = (R^2 / r^2)^2

Now, we can find the surface area ratio:

100.48 / A = 9

Solving for A (the surface area of the single-serving can), we have:

A = 100.48 / 9

Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².

Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.

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Answer:

y=-4/3x-4

Step-by-step explanation:

The equation of the line that is perpendicular to the line which has a slope of 3 / 4 and passes through the point ( 0, - 4 ) is equals to \(y= \frac{-4}{3} x-4\)

" Equation of line is defined as the equation which represents the set of points using slope."

Formula used

\(y=mx+c\)

m = slope of the line

c = y-intercept

Product of the Slopes of perpendicular lines  = -1

According to the question,

Slope of the given line = \(\frac{3}{4}\)

Using condition for slope of perpendicular lines we have,

Slope of the line perpendicular to the given line 'm' = \(\frac{-4}{3}\)

From given point (0, -4)

Y- intercept 'c' = -4

Substitute the value in the formula to get equation of required line,

\(y= \frac{-4}{3} x-4\)

Hence,  equation of the line that is perpendicular to the line which has a slope of 3 / 4 and passes through the point ( 0, - 4 ) is equals to \(y= \frac{-4}{3} x-4\).

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Answer:

Perpendicular

Step-by-step explanation:

If you use desmos and type in both equations, then set z equal to a number, you will see that they are perpendicular to each other.

Using a calculator, we find an angle of approximately 70.53 degrees.

What is an Angle?

an angle is a geometric figure formed by two rays or line segments that share a common endpoint called a vertex. The rays or line segments that form an angle are called the sides of the angle.

To determine whether the planes are parallel, perpendicular, or neither, we can examine the normal vectors of the planes. The plane normal vector is a vector perpendicular to the surface of the plane.

Let's find the normal vectors of the two planes:

Plane 1: 8x + 8y + 8z = 1

The coefficients x, y, and z in the equation represent the components of the normal vector. So the normal vector of Plane 1 is (8, 8, 8).

Plane 2: 8x - 8y + 8z = 1

Similarly, the normal vector of Plane 2 is (8, -8, 8).

Now we need to compare the two normal vectors to determine their relationship.

If two vectors are parallel, their direction vectors are scalar multiples of each other. In other words, one vector can be obtained by multiplying another vector by a constant.

If two vectors are perpendicular, their dot product is zero.

Let's compare the normal vectors:

Dot product of normal vectors = (8)(8) + (8)(-8) + (8)(8) = 64 - 64 + 64 = 64

Since the dot product is not zero, the normal vectors are not perpendicular.

Since the normal vectors are not scalar multiples of each other, the planes are neither parallel nor perpendicular.

We can use the dot product formula to find the angle between the planes:

cosθ = (dot product of normal vectors) / (magnitude of plane 1 normal vector) * (magnitude of plane 2 normal vector)

cosθ = 64 / (sqrt(8^2 + 8^2 + 8^2)) * (sqrt(8^2 + (-8)^2 + 8^2))

cosθ = 64 / (sqrt(192)) * (sqrt(192))

cosθ = 64 / (sqrt(192) * sqrt(192))

cosθ = 64/192

cosθ = 1/3

θ = arccos(1/3)

Using a calculator, we find an angle of approximately 70.53 degrees.

The planes are therefore neither parallel nor perpendicular, and the angle between them is approximately 70.53 degrees.

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Answer:

$12.43

Step-by-step explanation:

Given :

Mean = $8.52

Standard deviation, = $2.38

Stock price which falls beyond 0.05 of the distribution is at the 95th percentile

The 95th percentile distribution has a Pvalue of 1.645 (standard normal table)

We obtain the value of x, with z = 1.645

Using the Zscore relation :

Zscore = (score - mean) / standard deviation

1.645 = (score - 8.52) / 2.38

Cross multiply :

1.645 * 2.38 = score - 8.52

3.9151 = score - 8.52

Score = 8.52 + 3.9151

Score = $12.4351

Stock price beyond 0.05 is $12.43

Answer:

58

Step-by-step explanation:

Just trust me on this. It has got to be 58.

Answer:

The 2nd one is the right answer

The logarithmic expression equivalent to the given expression is second option log₃ (u² / p⁶).

A logarithm is simply the opposite function of the exponentiation.

It is the exponent to which a number or value is raised to get some other number.

That is, if c = aˣ, then we can write it as x =logₐ c.

The given logarithmic expression is,

2 log₃ (u) - 6 log₃ (p)

In order to simplify this, we have to know the logarithmic rules.

logₐ (bⁿ) = n logₐ b

logₐ (x) - logₐ (y) = logₐ (x/y)

Using these rules,

2 log₃ (u) - 6 log₃ (p) = log₃ (u²) - log₃ (p⁶)    [Using the first rule]

                                 = log₃ (u² / p⁶)   [Using the second rule]

Hence the equivalent expression is log₃ (u² / p⁶).

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Answer:

\(y=- \sqrt{\dfrac{1}{2}x}\)

Step-by-step explanation:

Parent functions are the simplest form of a given family of functions.

Transformations of graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

\(\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of} \: a \\ & \textsf{If }a > 1 \textsf{ it is compressed by a factor of}\: a \\ & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of}\: a \end{aligned}\)

\(y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}\)

Given parent function:

\(y=\sqrt{x}\)

Horizontal stretch:

As this is a horizontal stretch, the x variable should be multiplied by a value between zero and 1:

\(\implies y= \sqrt{\dfrac{1}{2}x}\)

Reflected in the x-axis:

To reflect a function in the x-axis, simply make the function negative:

\(\implies y=- \sqrt{\dfrac{1}{2}x}\)

The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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Identity theft is a crime where someone wrongfully obtains and uses another person's personal information for fraudulent purposes.

Identity theft are be committed through means such as phishing scams, data breaches, social engineering and physical theft of personal documents. Once the perpetrator obtains the victim's information, they can use it to open credit accounts, make unauthorized purchases, apply for loans, file fraudulent tax returns, commit crimes in the victim's name etc.

The consequences for the victim can be devastating. They may experience financial loss, damage to their credit score, legal issues and emotional distress. It can take long amount of time and effort to rectify the damage caused by identity theft often requiring extensive documentation, contacting financial institutions and working with law enforcement agencies.

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Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.

Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.

Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.

For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.

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Answer:

4 cm

Step-by-step explanation:

Base 6 cm

Area 12 cm²

Formula:

h_b = 2 A/b

Summary:

(i) To find the value of α such that the vectors v1, v2, and v3 are linearly dependent, we can set up a system of equations and solve for α.(ii) The Basis Theorem states that any set of linearly independent

(i) To check if v1, v2, and v3 are linearly dependent, we can set up the following equation:

c1v1 + c2v2 + c3v3 = 0,

where c1, c2, and c3 are constants. Substituting the given values of v1, v2, and v3, we have:

c1(3,7,7) + c2(1,4,4) + c3(α,1,1) = 0.

Simplifying this equation, we get the following system of equations:

3c1 + c2 + αc3 = 0,

7c1 + 4c2 + c3 = 0,

7c1 + 4c2 + c3 = 0.

We can solve this system of equations to find the value of α that satisfies the condition.

(ii) The Basis Theorem states that any set of linearly independent vectors that span a vector space can be used as a basis for that vector space. By applying the Basis Theorem to the vectors v1, v2, and v3, we can check if they form a basis for ℝ3. If they do, we can find the coordinates of a given vector, such as (2,3,5), in terms of the basis using Gaussian Elimination.

To apply Gaussian Elimination, we set up the augmented matrix [v1 | v2 | v3 | b], where b is the given vector (2,3,5). Then we perform row operations to obtain the row-echelon form of the augmented matrix. The resulting matrix will allow us to determine the coordinates of b in terms of the basis vectors.

By performing the Gaussian Elimination process, we can find the coordinates of (2,3,5) in terms of the basis vectors.

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There is no value of α that makes the vectors linearly dependent, and the basis for ℝ³ using the vectors [377, 148, 11α] is {v₁, v₂, v₃}, with the coordinates of [2, 3, 5] in terms of the basis found through Gaussian Elimination.

(i) To find the value of α such that vectors v₁, v₂, and v₃ are linearly dependent, we need to determine if there exist scalars a, b, and c, not all zero, such that a(v₁) + b(v₂) + c(v₃) = 0. Substituting the given values, we have a(377) + b(148) + c(11α) = 0. By solving this equation, we can find the value of α that satisfies the condition for linear dependence.

(ii) The Basis Theorem states that any set of linearly independent vectors that spans a vector space forms a basis for that vector space. Using a different value of α than the one found in (i), we can apply the Basis Theorem to determine a basis for ℝ³ using the vectors v₁, v₂, and v₃.

By performing Gaussian Elimination or row reduction on the augmented matrix [v₁ v₂ v₃], we can determine the basis vectors. The coordinates of vector [2 3 5] in terms of the basis can be found by solving the system of equations formed by equating the linear combination of the basis vectors to [2 3 5].

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The final speed v2 is √6 times the initial speed v1, when the net force is 2f1 and the object moves the same distance d while the force is being applied.

We can use the work-energy theorem to solve this problem, which states that the work done on an object by a net force is equal to the change in its kinetic energy.

When the force has magnitude f1 and the object moves a distance d, the work done is:

W = f1 * d

This work changes the kinetic energy of the object from zero to (1/2) * m * v1^2, where m is the mass of the object. Therefore, we have:

f1 * d = (1/2) * m * v1^2

Solving for v1, we get:

v1 = sqrt((2 * f1 * d) / m)

Now, when the net force has magnitude f2 = 2f1 and the object moves the same distance d, the work done is:

W = f2 * d = 2f1 * d

This work changes the kinetic energy of the object from (1/2) * m * v1^2 to (1/2) * m * v2^2, where v2 is the final speed of the object. Therefore, we have:

2f1 * d = (1/2) * m * (v2^2 - v1^2)

Solving for v2, we get:

v2 = sqrt(v1^2 + (4 * f1 * d) / m)

Substituting the expression for v1, we get:

v2 = sqrt((4 * f1 * d) / m + (2 * f1 * d) / m)

Simplifying, we get:

v2 = sqrt(6) * v1

Therefore, the final speed v2 is sqrt(6) times the initial speed v1.

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Option (D) is the graph that illustrates how the inequality can be resolved.

Inequality is a mathematical term used to describe the notion that two values are not equal.

It compares two values or expressions using inequality symbols such as "" (less than), ">" (greater than), "=" (less than or equal to), ">=" (greater than), or "" (not equal to).

The shaded area to the right of 12 shows all real numbers bigger than 12, which is the solution to the inequality. The open circle at 12 denotes that 12 is not part of the answer.

We first simplify the inequality (9x+27)/3 > x + 33 before graphing the solution:

(9x+27)/3 > x + 33

3x + 9 > x + 33

2x > 24

x > 12

Given this discrepancy, x must be bigger than 12. Therefore, all real numbers larger than 12 are the answer.

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