In the image shown, line I and line m are parallel. How are <2 and <5 related?

The domain of the area of the given rectangle is; 0 < A < 1

The subject of a formula is defined as the variable that is being worked out. This subject of formula can be easily recognized as the letter that is on its own on one side of the equals sign. For example, in the formula for the area of a rectangle A = bh, the subject of the formula is A.

Now, we are told that the rectangle has perimeter of 8 m.

The formula for the perimeter of a rectangle is;

P = 2(L + W)

We are told that the perimeter is 8 m. Thus;

2(L + W) = 8

L + W = 4

W = 4 - L

Formula for area of a rectangle is;

A = LW

Thus;

A = L(4 - L)

A = 4L - 4L²

At A = 0, we have L = 0 OR 1

The value of A cannot be zero or 1 and as such the domain of A is the;

0 < A < 1

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Answer:

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The speed limit is 65 mph, the speed of the car is at least 74 mph.

The difference m is the over the speed limit value.

Set an inequality:

The equation y = 0.60x. The 0.60 represents the 0.60 feet in each second rise. The table is completed below.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Every 10 seconds in the escalator step rise is 6 feet.

Let 'y' be the number of feet and 'x' be the number of seconds. Then the equation is given as,

y = 0.60x

Then the table is given as,

Time (x)           Distance escalator rises (feet)

     10                                   6

    20                                  12

    30                                  18

    40                                  24

The 0.60 represents the 0.60 feet in each second rise.

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If D and R are independent, then P(D or R) = 0.8412

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B)

P(D) = 0.26 and P( R) = 0.26 , if D and R are independent, then,

P(D or R) = P(D) + P(R) - P(DnR)

then P(DnR) = P(D) × P(R) = 0.26×0.38 = 0.0988

P(D or R) = 0.26+0.38-0.0988

= 0.8412

Therefore the probability of P(D or R) if D and R are independent is 0.8412

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The correct answer is C. You've got that right.

So, on solving the provided question we can say that [tex]24\sqrt{ 75/7}[/tex] and [tex]\sqrt{67/2 }[/tex] these both are are radials from the given expressions

A radical is a symbol for the square root or nth root. Root expressions are those that contain square roots. A number or word that appears there is a radical's radicand. Examples are the radicals 7 and 2y+1. Radicals can also be characterized by the following terms: Equations containing radicals are referred to as radical equations. The expression found inside the square root is known as a "root expression." The digits 2, 372, 2x+7, and 41p serve as illustrations of radical representations.The term "root expression" refers to the expression found inside the square root. Examples of radical representations are the numbers 2, 372, 2x+7, and 41p.

[tex]24\sqrt{ 75/7}[/tex] and [tex]\sqrt{67/2 }[/tex] here,

these both are are radials from the given expressions

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The solution for the given inequality is, (-∞, -5] ∪ [-1, ∞).

What is inequality?

In mathematics, inequalities describe the relationship between two values that are not equal. Equal means to be equal, not. The "not equal symbol (≠)" is typically used to indicate that two values are not equal. But different inequalities are used to compare the values to determine whether they are less than or greater than.

Consider, the given inequality

|x + 3| - 2 ≥ 0

⇒ |x + 3| ≥ 2

Using: If |u| ≥ a,  a > 0 then u ≤ -a, u ≥ a

⇒  x + 3 ≤ -2,    x + 3 ≥ 2

x ≤ -5,      x ≥ -1

Hence, the solution for the given inequality is, (-∞, -5] ∪ [-1, ∞).

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Answer:

103

Step-by-step explanation:

because its the actual answer

The area of the triangular side of the pyramid is given as follows:

21,852 m².

We consider that the side of the pyramid is triangular, hence we must consider that the area of a triangle is obtained as half the multiplication of the base by the height, that is:

Area = base x height / 2.

Considering b = 233, and dividing by the square root of 2, the coordinates of the endpoints of the base are given as follows:

(164.76, 0, 0) and (0, 164.76, 0).

Hence the length of the base is obtained using the distance between two points as follows:

Base = [tex]\sqrt{164.76^2 + 164.76^2}[/tex]

Base = 233.

The midpoint of the base has the coordinates given as follows:

(82.38, 82.38, 0).

The height is the distance between (0,0,147) and (82.38, 82.38, 0), hence it is given as follows:

Height = [tex]\sqrt{82.38^2 + 82.38^2 + 147^2}[/tex]

Height = 187.57.

Hence the area is of:

Area = 0.5 x 233 x 187.57

Area = 21,852 m².

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Answer:

y = 5x - 4

Step-by-step explanation:

1. Parallel have the same slope (equation)

- Standard form of an equation of a line: y=mx + b

m = slope

x = x-coordinate

b = y-intercept

y = y-coordinate

SLOPE = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1}}[/tex]

Given that x-2y = 5

and the line has the point:

(-3,-1)

We need to find another point to find the slope

x - 2y = 5

Let's say x = 7 and y = 1

(7, 1)

Now plug it into the slope equation

[tex]\frac{-3-7}{-1-1} = \frac{-10}{-2} = 5[/tex]

Plug the slope into the standard form of an equation of a line

y = 5x + b

Plug in (7,1)

1 = 5 + b

b = -4

The answer is: y = 5x - 4

Hope this helps :)

Have a great day!

Vertex: (4,1/6) Focus: (4,7/12) Directrix: x=2

Answer:

Step-by-step explanation:

Thandi's statement that 20% of Alaskan totem poles featured in the book have eagles carved in them is not accurate.

A two-way table, also known as a contingency table, is used to organize and display the relationship between two categorical variables. The table shows the frequency or count of observations for each combination of the two variables. In this case, the two variables are the animals carved in the totem poles and the regions where the totem poles are located.

To find the percentage of Alaskan totem poles that have eagles carved in them, we need to divide the number of Alaskan totem poles with eagles by the total number of Alaskan totem poles and multiply by 100. This can be calculated as:

(Number of Alaskan totem poles with eagles / Total number of Alaskan totem poles) * 100

Without the data for the two-way table it's impossible to check if the statement is correct or not. It's important to note that without the data it is also impossible to know the context of the statement and the information provided in the book.

Answer:

=Have Eagles

=50%

Step-by-step explanation:

Answer:

The principal of the bond can be calculated using the formula Principal = Interest / Rate x Time. In this case, the interest is $3,875, the rate is 7.75%, and the time is 25 years. Therefore, the principal of the bond is: Principal = $3,875 / 0.0775 x 25 = $20,000.

Step-by-step explanation:

The principal of the bond can be calculated using the formula Principal = Interest / (Rate x Time), where Interest, Rate and Time are given in the problem statement.

By using this formula, the principal of the bond is $20,000. This is the amount of money that was invested to earn the interest of $3,875 over 25 years with the interest rate of 7.75%.

Answer:

64 mph

Step-by-step explanation:

46 x 5 = 230

710 - 230 = 480 is the distance that he has left

distance = rate x times

480 = rate x 7.5       (12.5 -5 = 7.5)

480 = r(7.5)  Divide both sides b y 7.5 to find the rate

480/7.5 = [ r(7.5) ]/7.5

64 = r

The required, 11 goes into 40 three times with a remainder of 7.

Simplification involves applying rules of arithmetic and algebra to extract undeserved terms, factors, or processes from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property

11 goes into 40 three times with a remainder of 7.

We can use long division to find the answer:

      3

11 | 40

    33

    ---

     7

Therefore, 11 goes into 40 three times with a remainder of 7.

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Answer:

131.25 feet.

Step-by-step explanation:

We can use the concept of similar triangles to find the length of the monument's shadow.

Since the pole and the monument are casting the shadows, we can assume that the ratio of the height of the pole to the length of its shadow is equal to the ratio of the height of the monument to the length of its shadow.

12/5 = 315/x

Where x is the length of the monument's shadow.

We can cross-multiply and solve for x:

12x = 5315

x = 5*315/12

x = 131.25

So, the length of the monument's shadow is approximately 131.25 feet.

The value of the expression is (x∧2m-15)Yy∧5n +1). Option B

You should understand that simplification involves making an expression more simpler to understand. Also, the expression is in index form that involves the division law of indices.

the given expression to be simplified is

(x∧3m-8)/x∧m-7) (y∧7n +1)/(y∧2n)

This can be simplifies as follows

(x∧3m-8-(m-7)(y∧7n+1(2n)

Simplify further to have the value

(x∧3n-8-m-7)(y∧7m-2n+1)

This implies that the value is

(∧2m-15)(y2n+1)

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well, more often than not we arrange a polynomial in a descending order per degree of term, now, depends on the operation needed for it, we do or we don't, but more often we do.

the assumption in the material is that there are some missing terms in the desscending order.  Check the picture below.

The difference between the functions G(x) and h(x) is 4 units.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

G(x)=-f(x)+10 and h(x)=-f(x-4)+10

Since the functions, g and h differ

This can be seen by subtracting G(x) from h(x):

h(x) - G(x) = (-f(x-4) + 10) - (-f(x) + 10)

h(x) - G(x) = 4.

This means that for any value of x, the output of h(x) will be 4 units greater than the output of G(x).

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Answer:

El banco recibió 128 rollos de monedas de 10 centavos.

Step-by-step explanation:

Para saber cuantos rollos de monedas de 10 centavos recibió el banco, podemos dividir el total de monedas recibido entre el número de monedas por rollo.

(1 024 monedas) / (8 monedas/rollo) = (x rollos)

Donde x es el número de rollos recibido. Para calcular x se divide 1 024 entre 8

x = 1 024 / 8

x = 128

The BODMAS acronym is for:

Addition and Subtraction

The final step is to calculate any addition or subtraction. Again, subtraction and addition rank equally, and you simply work from left to right.

Example:

⇒4 + 6 − 7 + 3 = ?

You start on the left and work your way across.

⇒4 + 6 = 10

⇒10 − 7 = 3

⇒3 + 3 = 6

The answer is 6.

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Answer:

There is no mode for this set of numbers.

Step-by-step explanation:

The mode is the value that appears most frequently in a data set.

54,56,60,62,64,67,76,78

In this set of numbers no value appears more than once.

This means there is no mode for this set of data.

Step-by-step explanation:

a/b is invalid, when b = 0.

so, F(x) is invalid, if (1 + sin(2x)) = 0.

(1 + sin(2x)) can only be 0, if sin(2x) = -1

sin(angle) = -1

angle = 2x = 270° or 3pi/2

x = 135° or 3pi/4

so,

x <> 135° or 3pi/4

Answer:

Step-by-step explanation:

This is a quadratic function, which is a function of the form f(x) = ax^2 + bx + c, where a, b and c are constants. The function can be written in general form as f(x) = (x-4) / (x^2 +13x + 36).

To find the roots of the function (i.e. the points at which the function intersects the x-axis), we can use the quadratic formula:

x = [-b +/- sqrt(b^2 - 4ac)] / 2a

In this case, a = 1, b = 13 and c = 36.

Substituting these values into the quadratic formula, we get:

x = [-13 +/- sqrt(169 - 4(1)(36))] / 2

x = [-13 +/- sqrt(97)] / 2

x = [-13 +/- 9.8488578] / 2

x1 = -1.1744289

x2 = 11.1744289

Therefore, the roots of the function are x1 = -1.1744289 and x2 = 11.1744289.

The people whose scores on the bar chart do not match the data given in the table are Georgia and Eleanor.

In Mathematics, a bar chart (bar graph) simply refers to a type of chart that is used for the graphical representation of a population (data set), especially through the use of rectangular bars and vertical columns.

Based on the given bar chart which represents people's test scores in English and French, we can reasonably infer and logically deduce that table showed that Eleanor scored 12 in her English test while it was recorded as 14 on the bar chart.

Similarly, the table showed that Georgia scored 18 in her English test while it was recorded as 15 on the bar chart.

In conclusion, both Georgia and Eleanor were not correctly recorded on the bar chart.

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In the given question, the segments which are congruent are:-

RS and XP

Congruent refers to things that are exactly the same size and form. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another.

In the gievn figure

the length and size of RS and XP segments are equal

Hence they are congruent

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The nearest person is 235620 populations away in the following year.

The country, territory, or geographic area's yearly average rate of change in population size over a certain time period.

From the given question, we have the following:

Total population this year = 238,000 population

If the  population of a city decreases by 1% per year, the population next year will be 99% of the current population to have:

Population this year = 99% of 238,000 population

Population this year = 0.99 *  238,000

Population this year = 235620 populations

Hence the next year's population to the nearest individual is 235620 populations

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Answer:

The building is 36.62 m long.

Step-by-step explanation:

Answer:

21 and 18.48 respectively

Step-by-step explanation:

to solve this question,first we need to identify the quotients by dividing the numbers and multiply each by 21/5

The quotient of the [tex]\frac{55}{11}[/tex]=5

[tex]\frac{21}{5}[/tex]  of 5 = [tex]\frac{21}{5}[/tex]×5=21

The quotient of the [tex]\frac{22}{5}[/tex]=4.4

[tex]\frac{21}{5}[/tex] of 4.4 = [tex]\frac{21}{5}[/tex]×4.4=18.4

 so, the answer is 21 and 4.4 respectively.