When an integer is subtracted from 8 times the next consecutive integer, the
difference is 43. Find the value of the lesser integer.

To find the nonpermissible replacement for y in the expression;

The nonpermissible replacement for y is the replacement for y at which the denominator of the expression is zero. (when the denomenator is zero, the final value can not be determined).

For the given expression, the denomenator is;

For y to be nonpermissible, the denometor must be equal to zero.

To get y, add 1 to both sides.

At y =1, the expression becomes;

Therefore, the nonpermissible replacement for y in the given expression is;

Answer:

B

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here the vertex = (- 2, - 3 ) , then

y = a(x - (- 2))² - 3 , that is

y = a(x + 2)² - 3

To find a, substitute any point on the graph into the equation

Using the coordinates of the y- intercept (0, 5 )

5 = a(0 + 2)² - 3 ( add 3 to both sides )

8 = a(2)² = 4a ( divide both sides by 4 )

2 = a

y = 2(x + 2)² - 3 → B

The correct statement is "Each point on the​ least-squares regression line represents the predicted y-value at the corresponding value of x". Thus, Option C is correct.

A least-squares regression line is a mathematical model that is used to predict the value of a dependent variable (y) based on the value of an independent variable (x). The regression line is created by fitting a line to the data set that minimizes the differences between the actual y-values and the predicted y-values (the line).

Each point on the regression line represents the predicted y-value for a given value of x. In other words, if we know the value of x, we can use the regression line to predict the value of y that is most likely to occur based on the data set. The least-squares regression line is a useful tool for understanding the relationship between two variables and making predictions about future values.

A is incorrect because it states that each point on the least-squares regression line represents the actual y-value of the data set at that corresponding value of x, which is not necessarily the case. The regression line is a model that predicts y-values based on the relationship between x and y, but it is not necessarily equal to the actual y-values in the data set.

B is incorrect because it states that each point on the least-squares regression line represents the ideal y-values at that corresponding value of x, which is not a characteristic of a regression line. A regression line represents a predicted y-value based on the data set and the relationship between x and y, but it does not necessarily represent ideal values.

D is incorrect because it states that each point on the least-squares regression line represents one of the points in the data set, which is not necessarily the case. A regression line represents a predicted y-value based on the data set and the relationship between x and y, and it may not necessarily match the actual data points in the data set.

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Answer:

monyet lol

Step-by-step explanation:

a

B

C

C

C

C

C

C COk

Table 1 is filled with option C, table 2 is filled with option A, B, and E, and table 3 is filled with option D.

There are six different shapes given in the questions.

We need to fill the table that is given in the question. The table is asked to segregate the figures into regular polygons, irregular polygons, and not polygon.

Therefore,

A regular polygon is only the option (C)

Irregular polygon is options A, B, and E.

Not a polygon is the only option (D)

Thus, table 1 is filled with option C, table 2 is filled with option A, B, and E, and table 3 is filled with option D.

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The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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Answer:

above sea level

Step-by-step explanation:

The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:

\(\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}\)

where |v| is the magnitude of the vector component and theta is the angle of the vector.

Using the magnitude and angle given for vector u we can write its component form :

\(\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}\)

Doing the same for v

\(\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}\)

Now adding both vector together

\(\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})\)

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Answer:

3. x = 4.9

4. x = -1

Step-by-step explanation:

hope this helps :)

Answer:

For number (3) the answer is 4.9

For number (4) the answer is -1

Step-by-step explanation:

(3): 14.8=3x which is equal to 4.9

(4): 14=-14x which is equal to -1

Hope this helps

Plz Brainiest!

The slope of the line forming the smallest right triangle, when a line is drawn through the point (1, 2), is 2.

The slope of the line forming the smallest right triangle with the positive x and y axes, when a line is drawn through the point (1, 2), can be determined as follows.

First, let's consider the two axes as the legs of the right triangle, and the line drawn through (1, 2) as the hypotenuse. The slope of the hypotenuse can be calculated by finding the difference in y-coordinates divided by the difference in x-coordinates between the two endpoints.

Since the x-coordinate of the point where the line intersects the x-axis is 0 (positive x-axis), and the y-coordinate of the point where the line intersects the y-axis is 0 (positive y-axis), the difference in y-coordinates is 0 - 2 = -2, and the difference in x-coordinates is 0 - 1 = -1.

Therefore, the slope of the line forming the smallest right triangle is -2/-1 = 2.

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Answer:

Please which data and tables are you talking about?

Solve the equation for x, it means express x in terms of y

Once found the expression of x in terms of y, replace for the given value of y to find x

If a $1 million grant is to be divided among four charities, J, K, L, and M.  M will be awarded $200,000 of the grant.

Let the amount awarded to K be x. Then the amounts awarded to L and M will be x + 125,000 and y - 325,000, respectively.

Since the total grant is $1 million, we have:

x + (x + 125,000) + (y - 325,000) + y = 1,000,000

Simplifying this equation, we get:

2x + 2y - 200,000 = 1,000,000

2x + 2y = 1,200,000

x + y = 600,000

We also know that:

y - 125,000 = x + 325,000

y = x + 450,000

Substituting this into the equation x + y = 600,000, we get:

x + (x + 450,000) = 600,000

2x + 450,000 = 600,000

2x = 150,000

x = 75,000

Therefore, the amount awarded to M is:

y - 325,000 = x + 450,000 - 325,000 = $200,000

So, M will be awarded $200,000 of the grant.

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The amount left by Diana is percent part of total food cost. The 15% tip of $44 total cost given by Diana is : Option D: $6.60

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \times b\)

Since the total food cost was $44 and the tip was 15% of the total cost, thus,

\(\text{Tip amount} = \dfrac{44}{100} \times 15 = 6.6 \text{\:dollars}\)

Thus,

The 15% tip of $44 total cost given by Diana is : Option D: $6.60

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In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

A normally distributed phenomenon using standard nomenclature can be described as follows:

A dataset is said to be normally distributed if it follows a bell-shaped curve, which is symmetrical around the mean (µ) and characterized by its standard deviation (σ). In standard nomenclature, a normally distributed dataset is represented as \(N(µ, σ^2)\), where µ is the mean and \(σ^2\)is the variance (square of the standard deviation).

For example, if we consider the heights of adult males in a large population, we may observe that the distribution is normally distributed with a mean height (µ) of 175 cm and a standard deviation (σ) of 10 cm. In this case, the nomenclature for this normally distributed phenomenon would be N(175, 100), as the variance is \(10^2 = 100\).

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The true statement about the function is that (c) the domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

The complete question is added at the end of this solution

From the complete question, we have the following equation

f(x) = g(x)/h(x)

The above equation means that

The function f(x) is the quotient of the functions g(x) and h(x)

For the function f(x) to have real values, the function h(x) must not equal 0

i.e. h(x) ≠ 0

This is so because

A number or an expression divided by 0 is not a real number

Hence, the true statement is that the domain of f(x) consists of all values of x where h(x) does not equal 0.

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Complete question

which of the following statements is true about a rational function of the form where g and h are polynomial functions?

A. If the rational function has a removable discontinuity, then it cannot have a vertical asymptote. g(x)

B. The rational function f(x) h(x) will have a removable discontinuity at x = a if g(a) = 0. g(x)

C. The domain of f(x) consists of all values of x such that g(x) does not equal 0 and h(x) does not equal 0.

D. If the rational function has a removable discontinuity, then it cannot have a horizontal asymptote.

Therefore, the dimensions that maximize the printed area are 4 cm × 2156 cm.

Let's first find the dimensions of the printable region of the poster.

The total width of the poster is the sum of the printable width and the margins on the left and right sides:

Total width = Printable width + Left margin + Right margin

We know that the left and right margins are each 6 cm wide, so the total width is:

Total width = Printable width + 6 cm + 6 cm = Printable width + 12 cm

Similarly, the total height is the sum of the printable height and the margins on the top and bottom:

Total height = Printable height + Top margin + Bottom margin

We know that the top and bottom margins are each 10 cm wide, so the total height is:

Total height = Printable height + 10 cm + 10 cm = Printable height + 20 cm

The area of the printable region is:

Printable area = Printable width × Printable height

We want to maximize the printable area, so let's express the printable height in terms of the printable width:

Printable height = Total height - Top margin - Bottom margin

Printable height = (Printable width + 12 cm) - 10 cm - 10 cm

Printable height = Printable width - 8 cm

Substituting into the equation for printable area, we get:

Printable area = Printable width × (Printable width - 8 cm)

Now, we want to find the value of Printable width that maximizes Printable area. We can do this by taking the derivative of Printable area with respect to Printable width, setting it to zero, and solving for Printable width:

d(Printable area)/d(Printable width) = 2Printable width - 8 cm

2Printable width - 8 cm = 0

Printable width = 4 cm

So, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

This is not a valid solution, since the height cannot be negative. Therefore, we made an error somewhere.

Printable width = -b/2a

where a = 1 and b = -8

Printable width = -(-8)/(2×1) = 4

Therefore, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

Again, this is not a valid solution, since the height cannot be negative. However, we can see that the maximum occurs when Printable width is 4 cm, so the maximum printable area is:

Printable area = Printable width × Printable height

Printable area = 4 cm × (8640 cm / 4 cm - 16 cm)

Printable area = 4 cm × 2156 cm

Printable area = 8624 cm

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Answer:

5/2

Step-by-step explanation:

perpendicular slopes are "negative recipricals" of the original slope.

Answer: 5/2

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

slope = rise/run. it rose 5 and ran 5. 5/5=1

Answer:

i have no idea what you are saying

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st page:3,2,9,1,4,4,5,1,3

It cannot be concluded that the area of a lateral face is used to find the volume, as the formula for the volume of a pyramid explicitly states that the volume is one-third the product of the base area and height.

Based on the formula V = one-third B h, it can be concluded that the height of the triangular pyramid is 7 cm. It can also be concluded that the base area is 73.5 cm2, and the volume is 171.5 cm3, by substituting the given values in the formula.

However, it cannot be concluded that the volume of a prism with the same base area and height is three times the volume of this pyramid. This is because the volume of a pyramid is one-third the volume of a prism with the same base area and height.

Finally, it cannot be concluded that the area of a lateral face is used to find the volume, as the formula for the volume of a pyramid explicitly states that the volume is one-third the product of the base area and height.

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Answer:

-_-

Step-by-step explanation:

im not in highschool o-0

Answer:

Cells we are made of Stem cells

Red blood cells

White blood cells

Step-by-step explanation:

Answer:

64/3 simplified is 21 1 /3

Step-by-step explanation:

first  you have to convert the mixed fraction into improper fraction to multiply so 2 2/3 will become 8/3 and now 8 as a fraction is 8/1 so all you have to do is multiply 8 * 8 is 64 and 3 * 1 is 3 so the answer would be 64/3 and you just simplify the fraction for it to become 21 1/3

Answer: 23.22 ft

Step-by-step explanation: Multiply the base by the height to find the area. Since this is a triangle, we also have to divided by 2 before we get our answer. So that would be written like: 5.4 x 8.6 divided by 2 = area

The number of students who for between 4-8 hours and obtained an average above 80 expressed as a percentage is 11.7%.

Rather than expressing values in fractions. A certain portion of a whole lot or item can be multiplied by 100 to get its equivalent value expressed as a percentage .

From the table , the number of students who studied for 4-8 hours and also had a grade above 80 is 11.

Total number of students in the sample = 94

Expressing as a percentage;

(11/94) × 100%

= 0.117 × 100%

= 11.7%

Hence, the percentage value is 11.7%

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Answer:

Step-by-step explanation:

You first collect isolate all the variables

-3x+4/5=-2/3x+12

Subtract 4/5 from both side and add2/3x from both sides

-7/3x=56/5

You then multiply both sides by the reciprocal of the coefficient of the variable, in this case -3/7

-7/3x*(-3/7)=(56/5)*(-3/7)

x=-168/35

x=-24/5

In the proportion, the degree of freedom is 12.

What is proportion?

Two ratios are set to be equal in an equation called a proportion. For instance, you could express the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

Here the given that 13 proportions then,

=> k=13

Sample size = N = \(\sum fi\) = 173

Degree of freedom = k - 1 = 13-1 = 12.

Hence the degree of freedom is 12.

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i) Xi(f) = 5rect(f/2007)e^(-j2πft) | ii) Xz(f) = 5rect((f-400)/2007) | iii) X3(f) = 1 - 3*5rect(f/2007) + 1400(X(f) * X(f)) | iv) X(f) = 5rect(f/5)

we'll use properties of the Fourier transform and the given function x(t) = 5sinc(2007).

i) For xi(t) = -4x(t-4):

Using the time shifting property of the Fourier transform, we have:

Xi(f) = X(f)e^(-j2πft)

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Thus, substituting the values, we have:

Xi(f) = 5rect(f/2007)e^(-j2πft)

ii) For xz(t) = e^(j400)lx(t):

Using the frequency shifting property of the Fourier transform, we have:

Xz(f) = X(f - f0)

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Substituting the value f0 = 400, we have:

Xz(f) = 5rect((f-400)/2007)

iii) For X3(t) = 1 - 3x(t) + 1400xlx(t):

Using the linearity property of the Fourier transform, we have:

X3(f) = F{1} - 3F{x(t)} + 1400F{x(t)x(t)}

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Using the Fourier transform properties, we have:

F{x(t)x(t)} = X(f) * X(f)

Substituting the values, we have:

X3(f) = 1 - 3*5rect(f/2007) + 1400(X(f) * X(f))

iv) For X(t) = cos(400ft)x(t):

Using the modulation property of the Fourier transform, we have:

X(f) = (1/2)(X(f - 400f) + X(f + 400f))

Since x(t) = 5sinc(2007), the Fourier transform X(f) of x(t) is given by:

X(f) = 5rect(f/2007)

Substituting the value f = 400f, we have:

X(f) = 5rect((400f)/2007)

Simplifying, we have:

X(f) = 5rect(f/5)

To sketch the magnitude spectrum, Xo(f), we plot the magnitude of the Fourier transform for each case using the given formulas and the properties of the Fourier transform.

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Answer:

34.51

Step-by-step explanation:

It would be 98.60*65% and then subtract that answer with 98.60.

So, we get 34.51

Answer:

$34.51

Step-by-step explanation:

65% discount means 0.65 off

0.65× 98.60=64.09

Meaning $64.09 off

Sale price= 98.60-64.09

$34.51