Function (f) is defined by the equation f(x)=3x-7. Find the value of c so that f(c) =20 is true.

Answer:

The statement which is given as , "The product of permutation matrices is again a permutation matrix." is True.

A permutation matrix is a square matrix whose entries are either 0 or 1 and has exactly one "1" in each row and each column. In other words, it is a matrix that represents a permutation of the rows (or columns) of the identity matrix.

When two permutation matrices are multiplied, the result is another square matrix with exactly one "1" in each row and each column. To see why this is true, consider two permutation matrices, A and B. Suppose that A is a m x m matrix and B is a m x m matrix. The product of these two matrices is another m x m matrix, C = AB.

Each entry in the matrix C is given by the dot product of the corresponding row in A and the corresponding column in B. If the row in A has a "1" in the i-th position and the column in B has a "1" in the j-th position, then the i,j-th entry in C will be "1".

Since both A and B are permutation matrices, each row in A and each column in B has exactly one "1". This means that each row in C will have exactly one "1", and each column in C will also have exactly one "1". Hence, C is also a permutation matrix.

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The completed two-column table that proves ΔQTU is congruent to ΔRSU can be presented as follows;

Statement          [tex]{}[/tex]                           Reasons

1. [tex]\overline{RS}[/tex] ⊥ [tex]\overline{RT}[/tex]                          [tex]{}[/tex]          Given

2. [tex]\overline{QT}[/tex] ⊥ [tex]\overline{QS}[/tex]                         [tex]{}[/tex]          Given

3. [tex]\overline{QU}[/tex] ≅ [tex]\overline{RU}[/tex]                              [tex]{}[/tex]    Given

4. ∠Q ≅ ∠R [tex]{}[/tex]                                  All 90° angle are congruent

5. ∠QUT ≅ ∠RUS [tex]{}[/tex]                        Vertical Angle Theorem

6. ΔQTU ≅ ΔRSU [tex]{}[/tex]                        ASA

Congruent triangles are triangles that have the same size and shape.

The details of the reasons that are used to prove that the triangles ΔQTU and ΔRSU are congruent, can be presented as follows;

All 90° angle are congruent

The segments [tex]\overline{RS}[/tex] and [tex]\overline{RT}[/tex] are perpendicular, which indicates that the angle ∠R is a 90° angle. Similarly, segments [tex]\overline{QT}[/tex] and [tex]\overline{QS}[/tex] are perpendicular, therefore, ∠Q is a 90° angle, which indicates that we get;

m∠Q = m∠R = 90°

The definition of congruent angles, indicates; ∠Q ≅ ∠R

Vertical Angle Theorem

The vertical angle theorem states that the vertical angles formed by two intersecting lines are congruent.

ASA

The Angle-Side-Angle, (which can be abbreviated as ASA) congruence postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

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The answers to all parts are shown below.

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

Given:

The polynomial zeros are given as:

x = 7, x = -1 and x = -3

x - 7 = 0, x + 1 = 0 and x + 3 = 0

So, f(x) = (x - 7)(x + 1)(x + 3)

f(x) = (x - 7)(x² + 4x +3)

f(x) = x³ -3x² -25 x -21

Now, Rational function g(x)

g(x) = f(x) / (x² - x + 2)

After Factorizing

g(x) = (x-2) - 25x+ 25 /  (x² - x + 2)

The slant asymptote is the quotient i.e. x - 2

Hence, the slant asymptote of the function g(x) is x - 2

So, the discontinuities of g(x)

g(x) = (x³ -3x² -25 x -21) /  (x² - x + 2)

Set the denominator to 0

x² - x + 2 = 0

(x - 2)(x + 1) = 0

x= 2 or x= -1.

So, the discontinuities and their types are:

Essential discontinuity at x = 2

Removable discontinuity at x = -1

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Answer: Logarithmic differentiation when the logarithm of an expression can be written in a form for which we can find the derivative more simply. Or, for which we can find the derivative at all.

Answer: 0,5

x = 0
y = 5

Answer: (0,5)

Step-by-step explanation:

Since "y" is equal to -6x+5 everywhere you see a "y" you can replace it with -6x+5.

-2x-6x+5=5

Combine like terms

-8x+5=5

Isolate x (subtract 5 from both sides)

-8x=0

Solve for x

x=0

Now that you have the value for "x" you can substitute the value into either equation and solve for y

-2(0)+y =5

y=5

or

y=-6(0)+5

y=5

The pressure is decreasing at a rate of approximately 0.26 psi/s at t = 15 seconds.

What is pressure ?

In physics, pressure is the amount of force applied per unit area. It is a scalar quantity, which means that it has a magnitude but no direction. Pressure is typically denoted by the symbol P, and its units are commonly expressed in pascals (Pa), which is the SI unit of pressure.

Pressure can be defined as the amount of force F applied per unit area A:

P = F / A

For example, if a force of 100 newtons (N) is applied to an area of 2 square meters (m^2), then the pressure would be:

P = 100 N / 2 m^2 = 50 Pa

Pressure is an important concept in many areas of physics, including fluid dynamics, thermodynamics, and atmospheric science. It is commonly used to describe the behavior of gases and liquids under different conditions, such as changes in temperature or volume. Pressure can also be used to calculate other physical properties, such as the flow rate of a fluid or the speed of sound in a gas.

According to given condition :

The rate of change of the fuel pressure in the fuel tank of the space shuttle is given by the derivative of the function [tex]r(t) = 17e^(-0.1t)[/tex]psi per second with respect to time t. Taking the derivative of r(t), we get:

[tex]r'(t) = (-0.1) * 17e^(-0.1t)[/tex]Simplifying this expression, we get:

[tex]r'(t) = -1.7e^(-0.1t)[/tex]

To find the rate at which the pressure is decreasing at t = 15 seconds, we substitute t = 15 into the expression for r'(t):

[tex]r'(15) = -1.7e^(-0.1*15)[/tex]

r'(15) ≈ -0.26 psi/s

Therefore, the pressure is decreasing at a rate of approximately 0.26 psi/s at t = 15 seconds.

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Answer:

Step-by-step explanation:

Let's call the original volume of water in the pitcher "V". Then, after Mai added 2.6 liters, the total volume of water in the pitcher became V + 2.6 = 10.4 liters.

To find the original volume of water in the pitcher, we can isolate V by subtracting 2.6 from both sides of the equation:

V + 2.6 = 10.4

V = 10.4 - 2.6

V = 7.8 liters

So the original volume of water in the pitcher was 7.8 liters.

Answer: 7.8

Step-by-step explanation:

really sorry if im wrong

Answer:

28

Step-by-step explanation: 4+3+7=14

                                              56/14=4

                                              7*4=28

Answer:

28

Step-by-step explanation:

4x+3x+7x = 56

14x=56

x=4

7x ---> 7(4) ---> 28

So there are 28 lemon lime skittles in a bag

Answer: A≈1385.44m²

Step-by-step explanation:

A=πr2=π·212≈1385.44236m²

Answer:37

Step-by-step explanation:

just write 4 instead of x

f(4)=[tex]4^{3} -2*4^{2} +3*4-7=64-32+5=37[/tex]

A continuous random variable can take all values in an interval, assuming that the interval is unbounded.

This is because a continuous random variable has an infinite number of possible outcomes, and the probability density function (PDF) of a continuous random variable is defined over a range of values rather than specific values.

For example, consider the normal distribution, which is a common continuous probability distribution. The PDF of a normal distribution is a bell-shaped curve that extends from negative infinity to positive infinity.

This means that a continuous random variable following a normal distribution can take any value on the real number line, with some values being more likely than others.

However, if the interval is bounded, then it is possible for a continuous random variable to not take all values within the interval. In this case, the probability density function is zero outside of the interval, and the random variable is restricted to the range of values within the interval.

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The triangle represents 1/4 of the whole trapezoid, the rhombus represents 1/2 of the whole trapezoid, and the hexagon represents 1/1 of the whole trapezoid.

Each of the shapes represent a different fraction of the whole trapezoid.

The triangle represents 1/4 of the whole trapezoid. This is because there are four triangles in the trapezoid, and each one is equal in size. Therefore, each triangle is 1/4 of the whole trapezoid. The rhombus represents 1/2 of the whole trapezoid. This is because there are two rhombuses in the trapezoid, and each one is equal in size. Therefore, each rhombus is 1/2 of the whole trapezoid.

The hexagon represents 1/1 of the whole trapezoid. This is because there is only one hexagon in the trapezoid, and it is equal in size to the whole trapezoid. Therefore, the hexagon is 1/1, or the whole trapezoid.

In conclusion, the triangle represents 1/4 of the whole trapezoid, the rhombus represents 1/2 of the whole trapezoid, and the hexagon represents 1/1 of the whole Hexagon. These fractions can be used to determine the value of each shape in relation to the whole trapezoid.

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The required equation which intersects the points (12, -2) and (6, -8) in the point-slope form is y+2 = x-12.

The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

To understand more about it and see some instances, watch this video.

Both the slope-intercept form and the point-slope form can be used to write the equation of a straight line.

The slope and ANY point on the line are highlighted using the point-slope form.

Slope intercept form merely shows the slope and the y-intercept of a line.

So, we have:

m = 1

And points are (12, -2) and (6, -8)

We need to use the points: (12, -2)

Now, form the equation as follows:

y - (-2) = m (x-12)

y + 2 = 1(x-12)

y+2 = x-12

Therefore, the required equation which intersects the points (12, -2) and (6, -8) in the point-slope form is y+2 = x-12.

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Answer:

Yes, the lines y = -5x + 1 and y = -5x + 8 are parallel. This is because they have the same slope (-5) but different y-intercepts (1 and 8). Parallel lines have the same slope, and different y-intercepts.

Answer:

For y = -5x + 1

x = [tex]\frac{1-y}{5}[/tex].

And

y = 1 - 5x.

Put on a graph: look at picture 1.

The for y = -5x + 8

x = [tex]\frac{8-y}{5}[/tex]

And

y = 8 - 5x.

Put on a graph: look at picture 2.

These two lines are parallel.

two equations are: v = u + 0.5a and (v)² = (u)² + 4a.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, the distance traveled by an object in t = 30 minutes is 2 miles

Let "v" be the final velocity of an object,

"u" be the initial velocity of an object,

and "a" be the acceleration of an object.

From the standard velocity equation:

final velocity = initial velocity + acceleration * time.....(1)

(final velocity)² = (initial velocity)² + 2*acceleration * distance....(1)

From equation (1)

v = u + a*30 minutes

time in hours,

v = u + 0.5a

From equation (2)

(v)² = (u)² + 2*a* 2

(v)² = (u)² + 4a

therefore, two equations are: v = u + 0.5a and (v)² = (u)² + 4a.

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15x = 180

divide both by 15, and you get

x = 12

I'm unsure if this is correct

 Answer: Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees

The smallest pair of 4-digit numbers such that the difference between them is 303 and their HCF is 101 are 1010 and 1313.

HCF (Highest Common Factor) of two numbers, which is the largest number that divides both numbers evenly.

Let's call the smaller of the two numbers "x". The larger number would be "x + 303".

The HCF of these two numbers must be 101, which means that 101 must be a factor of both x and x + 303.

To find the smallest possible value of x, we need to find the smallest number that is divisible by 101 and also a 4-digit number.

The smallest multiple of 101 that is a 4-digit number is

=> 101 x 10 = 1010.

Therefore, x = 1010.

The larger number would be

=> x + 303 = 1010 + 303 = 1313.

To check if the HCF of these two numbers is indeed 101, we can use the Euclidean Algorithm or the Prime Factorization method to find the HCF.

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If there are 10 days of sleeping a month then in a year there are 120 days of sleeping.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Sleeping 8 hours a day is the same as sleeping 10 days a month.

In according to hours the number of hours sleeping in month will be

= 8 x 30

= 240 hours

= 240 / 24

= 10 days

So, in a year the number of days of sleeping is

= 10 x 12

= 120 days

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Answer: look at the image for the answers and solutions

Step-by-step explanation:

All the answers to the questions except which are impossible are illustrated below.

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments are referred to as its edges or sides.

9. We know, The sum of all the interior angles of a 'n' sided polygon is,

= 180(n - 2).

= 180(10 - 2).

= 180×8.

= 1440°.

11. 180(n - 2) = 1260.

180n - 360 = 1260.

180n = 1620.

n = 9.

13. Mesure of exterior angles is,

= 360/n.

= 360/5.

= 72°.

14. 360/60 = 6 sides, As EA = 360/n, n = 360/EA.

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Scatter plot Answ

Step-by-step explanation:

Answer:

Step-by-step explanation:

If I see this correctly it would be about 16 minutes he played football.

According to the information, we need 107.42ft of black cord and 26 yards of fabric to make the design.

To find the amount of black cord that we need in this design we must calculate the perimeter of all the figures as shown below:

rectangle

Square

triangle

Circle

Total

To calculate the amount of fabric, we must find the visible area of the figures and calculate what the area is in yards.

rectangle:

Square:

Triangle:

Circle:

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Answer:

What are the outliers in this data set?

26, 51, 53, 57, 57, 62, 65, 71, 93

Select EACH correct answer.

Step-by-step explanation:

Tell me if I'm wrong, You're welcome.

Answer:

Step-by-step explanation:

Answer:

The answer is 20, so the answer is (D) 20.

Step-by-step explanation:

Let's say x is the number of tokens purchased for each of the three types. Then, the total amount spent is 0.10x + 0.15x + 0.20x = $9.

Combining like terms, we get 0.45x = $9.

Finally, dividing both sides by 0.45, we get x = 20.

So, 20 tokens were purchased for each of the three types.

The answer is 20, so the answer is (D) 20.

The Inequality to represent year is x < 1939.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Let x represent any year.

If we want years before 1939, then x must be less than 1939.

Then, the Inequality can be

x < 1939.

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Answer:

Step-by-step explanation: 320 cm sq