Please help (Geometry)
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Continuity is the formulation of a function that varies with no breaks or jumps. The concepts of limits and continuity have been used to show that the function is continuous at the number a below.

If a graph has no holes asymptotes or breaks at any point then the function is said to be continuous. Or if we can draw the function without lifting our pen then it is called continuous.

The conditions which it should satisfy are,

1)The limit must exist at that point.

2) The function must be defined at that point,  and

3)The limit and the function must have equal values at that point. So,

A function f(x) is said to be continuous at x=a if,

lim f(x) = f(a)

x→a

A function is said to be continuous on the interval [a,b] if it is continuous at each point in the interval.

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In a randomly generated list of numbers from 0 to 6, each number has an equal chance of occurring. Since there are 7 numbers total (0, 1, 2, 3, 4, 5, and 6), the chance of each number occurring is 1/7 or about 14.3%.

A probability simple definition is what?

A probability is a measure of the likelihood of a particular event occurring. It is a value between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. A probability of 0.5, for example, indicates that the event has an equal chance of occurring or not occurring. A probability can be expressed as a fraction, decimal, or percentage.

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Answer:

1.2 Acres

Step-by-step explanation:

Answer: 3/10

Hope this helps :)

Step-by-step explanation:

2/5= 4/10

4/10 + 3/10= 7/10

3/10 of the pie is left

The number of squares that can be formed on a grid with n points on one side is (n² - (n-1)²).

The number of squares that can be formed with all their vertices belonging to the points of a grid can be calculated using the formula:

n² - (n-1)²

where n is the number of points on one side of the grid.

This is because there are n² total points on the grid, and each point can be used as a vertex for n-1 squares (when n>1) in the horizontal and vertical directions. However, each of these squares is counted twice, once for each corner point. So we subtract (n-1)² to account for the overcounting.

For example, if there are 4 points on one side of the grid, the number of squares that can be formed is 4² - (4-1)² = 16 - 9 = 7 squares.

In general, the number of squares that can be formed on a grid with n points on one side is (n² - (n-1)²).

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Answer:

the answer is alphabet c

Check the picture below, that's just a transformations template

so since we know that f(x) = √x, that means when x = 0, y = 0, so it touches the origin, so f(x) is the graph down below.

now, f(x) has moved to the left by 5 units and up by 4 units, based on the template that means C = 5 and D = 4 whilst B = 1

[tex]g(x)=\stackrel{A}{1}\sqrt{\stackrel{B}{1}x+\stackrel{C}{5}} ~~ +\stackrel{D}{4}\implies g(x)=\sqrt{x+5} ~~ +4[/tex]

Evaluation of 4+ (m - n)^4 when m = 7 and n =5 is -108

To combine binomials, utilize the FOIL Method.

An abbreviation is F O I L. First, Outside, Inside, and Last are represented by the letters, denoting the sequence of multiplying terms. For your solution, multiply the first word, an outside term, the inside term, the very last term, and then join like terms.

FOIL specifies the specific terms to multiply and their order.

First - multiply the first terms

Outside - multiply the outside/outer terms

Inside - multiply the inside/inner terms

Last - multiply the last terms

Given;

4+ (m - n)^4

m=7, n=5

Now, the binomial formula of (m - n)^4 by foil method

=m^4-4m^3n+6m^2n^2-4mn^3+n^4

=2401-4(343)(5)+6(49)(25)-4(7)(125)+500

=2401-6860+7350-3500+500

=-109

Therefore, the value of expression by foil method will be -109

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The triangular base in the xy plane can be described by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.

In the xz plane, the solid has a plane defined by the equation z = f(x). This equation can be derived from the equation of the base by substituting the y values with the corresponding mx + b values. Similarly, in the yz plane, the solid has a plane defined by the equation z = g(y). This equation can be derived from the equation of the base by substituting the x values with the corresponding (y - b)/m values. To calculate the area of the solid, we can use the formula A = 1/2h(b1 + b2), where h is the height of the solid and b1 and b2 are the lengths of the two bases. The area of the solid can then be found by substituting the appropriate values into this formula.

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Answer:

p^5

Step-by-step explanation:

p^10/2=p^5

If the similar figure is smaller than the original then the scale factor is a fraction. If the similar figure is larger than the original then the scale factor is a whole number.

The scale factor is a ratio that compares the corresponding side lengths of two similar figures. If the similar figure is smaller than the original, the scale factor is a fraction less than 1, for example, 2/3 or 3/4. This means that the corresponding side lengths of the similar figure are 2/3 or 3/4 of the corresponding side lengths of the original figure.

On the other hand, if the similar figure is larger than the original, the scale factor is a whole number greater than 1, for example, 2 or 3.

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Answer:

A. 9x+5

Step-by-step explanation:

[tex]5(3x-2)-3(2x-5)\\15x-10-6x+15\\9x+5[/tex]

Answer: 4.4

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

let the number be x

x= (14+6)²

x= 20²

x=400

Answer:

A thermometer is different than a number line because a thermometer goes from the bottom up with a minimum count. As a number line goes both ways with a pointer indicating where the point stands on either side.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

u just know

The rewritten expression in the form of xⁿ is x^3

In math, the expression refers the combination of variables, constants and exponents.

Given,

Here we have the expression x^5 / x^2

Now, we have to rewrite this expression into the form of xⁿ.

As per the law of exponents, we have rewrite the given expression as,

=> x^5*x^-2

Now, as per the law of exponent of multiplication, we can write it as,

=> x^5-2

Now, it can be further simplified as,

=> x^3

expression can be with one variable two variable or any number similar concept for constant also that is it can be any number

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The slope of the given linear relationship is 5 (A).

From the question, we have 5 different points that create a linear relationship. To determine the slope of the linear relationship, we can choose 2 random sequence points.

We might choose:

Point 1 = (0,-2)

Point 2 = (1,3)

We can find the slope of the relationship using formula of:

m = y2 - y1

       x2 - x1

m = 3- (-2)

        1 - 0

m =   5

        1

m = 5

To ensure our finding, we can choose another pair of random points, for example:

P1 = (-2, -12)

P2 = (-1, -7)

We can use the slope formula:

m = y2 - y1

       x2 - x1

m = -7 - (-12)

        -1 - (-2)

m = 5

        1

m = 5

Hence, the slop of the linear relationship between all the given points are 5.

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The simple fraction is [tex]= \frac{x + 1}{2x + 1}r[/tex]

In math, what is a fraction?

A fraction is a piece of the entire. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a straightforward fraction.

                             Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

[tex]= \frac{r}{1 + \frac{1}{\frac{1 + 1/x }{} } }[/tex]

[tex]= 1 + 1/x[/tex]

= x + 1/x  we have

= [tex]\frac{1}{x + 1/x}[/tex]

[tex]= \frac{x}{x + 1}[/tex]

[tex]= 1 + \frac{x}{x + 1}[/tex]

[tex]= \frac{ 2x + 1}{x + 1}[/tex]

r%*x+1/(2x+1)

 [tex]= \frac{x + 1}{2x + 1}r[/tex]

reduce to the appropriate fraction. The denominator was then brought up and the numerator down as I normalized.

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The complete question is -

Congress is debating a proposed law to reduce tax rates. If the current tax rate is r%, then the proposed rate after x years is given by this formula: r 1 1 1 1 x . Rewrite this formula as a simple fraction.

The slope of a secant line or the average rate of change over a relatively brief period of time can be used to approximate the derivative. The closer the interval is to the actual instantaneous rate of change, slope of the tangent line, or slope of the curve, the more accurate the result is.

Therefore,

[tex]& \int_0^6\left|t^2-8 t+12\right| d t \quad \quad \text { Distance traveled over }[a, b] \\[/tex]

[tex]\int_0^2 t^2-8 t+12 d t+-\int_2^6 t^2-8 t+12 d t & \text { distance }=\int_a^b\left|x^{\prime}(t)\right| d t \\[/tex]

[tex]t^2-8 t+12=0[/tex]

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Answer:

17 feet

Step-by-step explanation:

perimeter is the measurement of the border of a shape

2.5 + 6 + 8 + 2.5 = 17

Answer:

[tex]2x = 5 \\ 2x + 0y - 5 = 0 \\ a = 2 \\ b = 0 \\ c = - 5[/tex]

The resulting bar chart would show that in Store A, the employees spend 30% of their time on stocking, 40% on cashiering, and 30% on cleaning.

To create a side-by-side bar chart for this data, we would first organize the data into a table with store locations as the rows and tasks as the columns. Each cell in the table would contain the percentage of time spent on that task at that store location.

For example, the table might look like this:

                 Stocking Cashiering Cleaning

Store A         30%             40%            30%

Store B        25%             35%            40%

Store C         35%             25%            40%

To create the bar chart, we would then place the store locations on the x-axis and use different colors to represent the different tasks. The length of each bar would correspond to the percentage of time spent on that task at that store location.

The resulting bar chart would show that in Store A, the employees spend 30% of their time on stocking, 40% on cashiering, and 30% on cleaning.

Similarly, the chart will provide an easy visual representation of the time spent on each task at each store location.

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The complete question is -

The management of a retail company wants to analyze the time spent by employees on different tasks at different store locations. The data collected shows the percentage of time spent on tasks such as stocking, cashiering, and cleaning at three store locations: Store A, Store B, and Store C. Create a side-by-side bar chart to represent this data and analyze the results.

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The expression that shows the number of cookies that remained is:

C = 45 - n

We know that Crhis baked a total of 45 cookies, and his family ate n of them.

The number of cookies that remained is equal to the difference between the initial amount, which is 45, and the number of cookies that the family ate, which is n.

(Where a difference refers to a subtraction)

Then the expression for the number of cookies that remained is:

cookies = 45 - n

That is the expression that depends on the value n.

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The McCumber Cube, which bears the name of its inventor, John McCumber, demonstrates the interdependence of the many elements of information security.

What is the McCumber Cube used for?

The McCumber Cube, which bears the name of its inventor, John McCumber, demonstrates how the many elements of information security are interconnected. You may view availability, integrity, and confidentiality on one side. All three of these include crypto in a significant way.

Information Characteristics, Information States, and Security Countermeasures are the three McCumber cube dimensions. The three CIA triangle pillars of confidentiality, integrity, and availability make up information characteristics.

The McCumber Cube, which John McCumber developed in 1991, is a reference framework for developing and assessing information security (also known as information assurance) initiatives. This security model is presented as a grid that resembles the Rubik's Cube in three dimensions.

The McCumber Cube shows three proportions. If theorized, the three dimensions of each axis become a 3 × 3 × 3 cube with 27 cells representing areas that must be addressed to secure today’s information systems. To ensure system security, each of the 27 areas must be properly addressed during the security process (McCumber, 1991).

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132 is the total of all two-digit numbers and their reversal digits. The solution is (C) 9. Nine two-digit numbers, including 21 + 12 = 33, 32 + 23 = 55, 43 + 34 = 77, 54 + 45 = 99, 65 + 56 = 121, 76 + 67 = 143, 87 + 78 = 165, 98 + 89 = 187, and 109 + 901 = 132, meet this characteristic.

132 is the total of all two-digit numbers and their reversal digits. We must look at all potential two-digit numbers and add the number to its reversed digits in order to count the number of two-digit numbers that satisfy this property. The range of the two-digit numbers is 10 to 99. Starting with the number 11, which does not satisfy the stated criteria because 10 + 01 = 11 is not equal to 132. Then, we will look at 11 + 11, which is not equal to 132, and find that it is 22. This method will be repeated until a two-digit number is found that meets the specified attribute. As an illustration, 21 + 12 Equals 33, which is not the same as 132. This technique will be repeated until a two-digit number, such as 65 + 56 = 121, is found that satisfies the property. This operation will be repeated until nine two-digit values, such as 109 + 901 = 132, satisfy the property. As a result, the response is (C) 9.

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Answer:

[tex] \sf \: \frac{5 - 3 \sqrt{2} }{3} [/tex]

Step-by-step explanation:

Given expression,

→ (5/3) - √2

Let's simplify the expression,

→ (5/3) - √2

→ (5/3) - ((√2 × 3)/(1 × 3))

→ (5/3) - (3√2/3)

→ (5 - 3√2)/3

Hence, answer is (5 - 3√2)/3.

Answer:

[tex]\dfrac{15+5\sqrt{2}}{7}[/tex]

Step-by-step explanation:

Given rational expression:

[tex]\dfrac{5}{3-\sqrt{2}}[/tex]

To write the given rational expression in its simplest form we need to rationalise the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.

The conjugate of an expression is where we change the sign in the middle of the two terms.  Therefore, the conjugate of the denominator of the given expression is:

Multiply the numerator and denominator by the conjugate of the denominator:

[tex]\dfrac{5}{3-\sqrt{2}} \cdot \dfrac{3+\sqrt{2}}{3+\sqrt{2}}[/tex]

Simplify:

[tex]\implies \dfrac{5(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}[/tex]

[tex]\implies \dfrac{15+5\sqrt{2}}{9+3\sqrt{2}-3\sqrt{2}-2}[/tex]

[tex]\implies \dfrac{15+5\sqrt{2}}{9-2}[/tex]

[tex]\implies \dfrac{15+5\sqrt{2}}{7}[/tex]

47

We know the angles in a triangle add up to 180 degrees. Adding the two angles we know, ( 47 and 86) we get 133. Simply subtract 133 from 180 to get 47 degrees.

Answer: 35

Step-by-step explanation: 20 +15= 35

The denominator of the function, n(x), is the place where vertical asymptotes can be located. If the numerator, t(x), is not zero for the same value of x, then the vertical asymptotes can be determined by solving the equation n(x) = 0 where n(x) is the denominator.

Despite not being a part of the function graph, a vertical asymptote is a vertical line that serves as a guide.

It happens at an x-value that is outside the function's domain, therefore the graph can never cross it.

1/x^2 -4

Domain of 1/x² - 4 :

Solution : x < -2 or  -2 < x < 2 or x > 2

Interval Notation ; ( -∝ , -2) ∪ (-2 ,2) ∪ (2 , ∝).

Range of 1 / x² - 4 :

Solution : f(x) ≤ - 1/4 or f(x) > 0

Interval Notation : ( -∝ , - 1/4) ∪ (0,∝)

Axis interception points of 1 / x² - 4 :

y Intercepts : (0 , - 1/4)

Asymptotes of  1 / x² - 4:

Verticals x = -2. x = 2,

Horizontal y = 0

Extreme Points of 1/x² - 4 :

Maximum (0, -1/4).

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The slope of a line is calculated as the change in the y-coordinates (rise) divided by the change in the x-coordinates (run). Using the coordinates (9, 10) and (7, 2), we can calculate the slope as:

(10 - 2) / (9 - 7) = 8 / 2 = 4

So, the slope through the line of (9, 10) and (7, 2) is 4.