Prove that when 2 lines intersect each other ,then the vertically opposite angles formed are equal.

plz help fast​

Answer:

0.83

Step-by-step explanation:

It’s right use the formula they give you

The probability of a student taking the bus given that the student is sophomore is 0.83

Given that:

P(Walk to school | Sophomore) = 3 /(2 + 25 + 3) = 0.1

To cal culate the probability of a student taking the bus given that the student is sophomore, we make use of:

P(Take the bus | Sophomore ) = 25/(2 + 25 + 3)

Rewrite properly as:

\(Pr= \frac{25}{2 + 25 + 3}\)

So, we have:

\(Pr= \frac{25}{30}\)

Divide 25 by 30

\(Pr= 0.83\)

Hence, the probability of a student taking the bus given that the student is sophomore is 0.83

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Answer:

25%

Step-by-step explanation:

He has already done 27/36

so he has 9/ 36 left

that is is equal to 1/4

1/4 as a percentage is 25%

Answer:

18

Step-by-step explanation:

If they are 18 teachers on the field trip the ratio would be 18 : 81. this in the simplest form is 2 : 9

An inverse log is defined as the anti-log of a log function raised to a negative value.

Enter a number and a base into the calculator.

The calculator will display the inverse log of the number and base entered.

The base of the natural log is equal to e=2.71828. The standard base for the log is base 10.

The following formula is used to calculate the inverse log of a number and base.

㏒\(b^{-1}\)(y) = \(b^{y}\)

Where x is the value you are calculating

b is the base

and y is the number to take the log of

To calculate an inverse log, raise the base value to the power of the number being taken in the log.

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Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

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Answer:

see explanation

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (4,  2 ) → A' (4, - 2 )

B (7, 0 ) → B' (7, 0 )

C (9, 3 ) → C' (9, - 3 )

A translation of a shift to the left of 3 units is a horizontal shift.

This means subtracting 3 fro the x- coordinate and leaving the y- coordinate

A' (4, - 2 ) → A'' (4 - 3, - 2 ) → A'' (1, - 2 )

B' (7, 0 ) → B'' (7 - 3, 0 ) → B'' (4, 0 )

C' (9, - 3 ) → C'' (9 - 3, - 3 ) → C'' (6, - 3 )

A histogram is a basic statistical tool that graphically shows the frequency or number of observations of a particular value or within a specified group.

A histogram is a chart that displays data by dividing it into intervals, or "bins," and then counting how many data points fall into each bin. The x-axis of a histogram represents the range of values being analyzed, while the y-axis represents the frequency or count of values that fall within each bin.

Histograms are commonly used to illustrate the distribution of data. They provide a visual representation of the central tendency, variability, and shape of the data. In particular, histograms can reveal patterns in the data such as skewness, outliers, or gaps.

Histograms are frequently used in data analysis across many fields, including finance, biology, psychology, and engineering. They can be created using software programs such as Microsoft Excel, R, Python, or MATLAB.

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The given question is incomplete, the complete question is:

A(n)______ is a basic statistical tool that graphically shows the frequency or number of observations of a particular value or within a specified group

a. The chart did not maintain consistent scaling

b. The graph is not the appropriate graph type to display such data

c.  The display had inaccurate or distorted visual representations

When the actual data may not support it, changing the scales on the axes might give the appearance of big changes or differences.

The visual effect of data can be exaggerated or minimized, for instance, by adopting a non-linear scale or deleting specific sections of the axis.

So it important to Choose appropriate graph type that best represents the data and the relationship you want to convey.

It also advisable to make use of  clear and accurate labeling with descriptive titles and units of measurement.

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Answer:

N=4

Step-by-step explanation:

First, combine like terms: 12=3n

        The like terms are 9, -3 and n, 2n which add up to 12=3n

(you add 3 to -3 so it cancels out, then add 3 to the other side of the equation: 9, to get 12)

Second, simply by dividing both sides by 3: 4=N

        When you divide 3n by 3 you are left with n, and 12 divided by 3 is 4

The required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

Equation: A declaration that two expressions with variables or integers are equal.

In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance.

The equation would be:

C is the total cost and m is the miles driven.

We know that:
Charge of the truck: $35

Charge per mile: $2.50

Then, form the equation as follows:

C = 35 + 2.50m

Therefore, the required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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The present value, or the amount Jerry would need to deposit today, is approximately $47,120.23.

To calculate the amount Jerry would need to deposit today, we can use the formula for present value:

Present Value = Future Value / (1 + Interest Rate)ⁿ

Where:

Future Value is $85,000

Interest Rate is 8% (or 0.08 as a decimal)

n is the number of years, which is 9

Plugging in these values into the formula, we have:

Present Value = $85,000 / (1 + 0.08)⁹

Simplifying the expression:

Present Value = $85,000 / (1.08)⁹

Calculating this expression using a calculator or spreadsheet software, we find that the present value, or the amount Jerry would need to deposit today, is approximately $47,120.23.

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we get the answer: 7 / (Ln^3(2)).To find answer, we need to calculate the triple integral of the temperature distribution function T(x, y, z) = 128e^(-x-y-z) over the volume of the box D and divide it by the volume of D.

The triple integral is given by:

∭T(x, y, z) dV

To determine the limits of integration, we consider the given box D with boundaries 0 ≤ x ≤ Ln(2), 0 ≤ y ≤ Ln(4), and 0 ≤ z ≤ Ln(8).

So, the limits of integration for each variable are:

∫[0 to Ln(8)] ∫[0 to Ln(4)] ∫[0 to Ln(2)] 128e^(-x-y-z) dx dy dz

Simplifying the triple integral, we have:

∫[0 to Ln(8)] ∫[0 to Ln(4)] 128e^(-x-y) * e^(-z) dx dy dz

= ∫[0 to Ln(8)] ∫[0 to Ln(4)] 128e^(-x-y) dz dx dy

= ∫[0 to Ln(8)] [-128e^(-x-y)]| [0 to Ln(4)] dx dy

= ∫[0 to Ln(8)] (-128e^(-x) + 128e^(-x-Ln(4))) dx

Integrating with respect to x, we get:

[-128e^(-x) - 128e^(-x-Ln(4))]| [0 to Ln(8)]

= [-128e^(-Ln(8)) - 128e^(-Ln(8)-Ln(4))] - [-128e^(0) - 128e^(0-Ln(4))]

= (-128/e^8 - 128/(e^8 * e^4)) - (-128 - 128/e^4)

= (-128/e^8 - 128/e^12) - (-128 - 128/e^4)

= -128/e^8 + 128/e^12 + 128 + 128/e^4

Finally, we divide this result by the volume of D, which is given by:

Volume = (Ln(2)) * (Ln(4)) * (Ln(8))

So, the average temperature is:

(-128/e^8 + 128/e^12 + 128 + 128/e^4) / [(Ln(2)) * (Ln(4)) * (Ln(8))]

Simplifying this expression, we get the answer: 7 / (Ln^3(2)).

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Answer:

9 hours

Step-by-step explanation:

455/7 gives you the mph

which is 65

then divide 585 miles by the mph (65)

585/65

= 9 hours

Answer:

B

Step-by-step explanation:

as the easiest way to calculate without the help of a calculator ¯\_(ツ)_/¯

My experiences, perspectives, and skills have all played a significant role in shaping my ability to contribute to a diverse learning environment. As someone who has traveled extensively and lived in various parts of the world, I have been exposed to different cultures and ways of thinking.

In addition, my work in various fields has given me a range of skills that are useful in a diverse learning environment. For example, my experience in teaching, writing, and public speaking has helped me to communicate effectively with people from different backgrounds and to tailor my approach to meet their needs.

Overall, I believe that my experiences, perspectives, and skills have equipped me to contribute to a diverse learning environment in a positive and meaningful way. Whether I am working with students or colleagues, I strive to be respectful, empathetic, and open-minded, and to create a welcoming and inclusive space for everyone.

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The constant of proportionality that relates the number of servings to cups of cheese is  0.25.

According to the question,

Sarah used 2.5 cups of cheese in a dish that serves 10 people, this can be written as :

let the c be the cups of cheese : c = 2.5 cups of cheese

let n be the number of the people that is been served

Then the equation can be written as :

c ∝ n

then we can bring in the proportionality constant sign as ;

then c = kn

then we can introduce the given figures into the equation as ;

=> 2.5=k (10)

the we can determine the value of the constant as :

=> k=2.5/10 = 0.25

Hence, constant of proportionality relates the number of servings to cups of cheese is 0.25

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The unit rate per batch of cookies is 2.75 as Lennon uses 5 1/2 cups of flour for every 2 batches of cookies she bakes.

To calculate the unit rate, divide the denominator by the numerator so that the denominator equals 1. For example, if 50 kilometers are reached in 5.5 hours, the unit rate is 50 kilometers/5.5 hours = 9.09 kilometers per hour.

When expressed as a fraction, a unit rate has a denominator of one unit. To write a rate as a unit rate, divide the rate's numerator and denominator by the rate's denominator.

Based on the given conditions, formulate:

(5 1/2)/2

We have to find the common denominator and write the numerators above the common denominator.

(((5×2)/2)+(1/2))/2

Now, we have to calculate the product or quotient:

((10/2)+(1/2))/2

Now, write the numerators over common  denominator,

((10+1)/2)/2

Then, calculate the sum or difference:

(11/2)/2

=11/4

=2.75 (or) 2 3/4

Therefore, the unit rate per batch of cookies is 2.75.

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Answer:

36 ft

Step-by-step explanation:

20% x 180 = 36

Answer:

144 in cubed

Step-by-step explanation:

you do 8 * 9 * 2 to find area and then by doing that you get 144

bro kjbvbbbbbbbbjnbbbjjjkkkkmnmkkknñ

Answer:

$16.28

Step-by-step explanation:

44.%

Move the decimal up by two numbers to get a whole number, .44

and multiply .44 by $37

Answer: F : $79.99

Step-by-step explanation:

42 x 8 = 339

415.99 - 339 = 79.99

Answer:

Step-by-step explanation:

height h=1.2 m

radius r= D/2=4.5=2.25 m

Volume V=πr²h=π(2.25)²×1.2  ≈3.18m³

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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There are 140 different license plates that can fit the description provided by the witness of a hit-and-run accident. There are 1,689,660 different license plates that can fit the given description.

To find the number of different license plates that match the given description, we need to consider the available options for each position in the license plate.

The first position is fixed with the letters "as". Since there are no restrictions on these letters, they can be any two letters of the alphabet, resulting in 26 × 26 = 676 possible combinations.

The second position can be filled with any letter of the alphabet except "s" (since it is already used in the first position). This gives us 26 - 1 = 25 options.

Similarly, the third position can also have 25 options, as we need to exclude the letter "s" and the letter used in the second position.

For the fourth position (the first digit), there are 10 options (0-9).

The fifth position can be either 1 or 2, giving us 2 options.

Finally, the sixth position (the second digit) can also be filled with any of the remaining 10 options.

To find the total number of combinations, we multiply the options for each position: 676 × 25 × 25 × 10 × 2 × 10 = 1,690,000.

However, we need to exclude the cases where the digits 1 and 2 are not present together. So, we subtract the cases where the first digit is not 1 or 2 (8 options) and the cases where the second digit is not 1 or 2 (9 options): 1,690,000 - (8 × 2 × 10) - (10 × 9 × 2) = 1,690,000 - 160 - 180 = 1,689,660.

Therefore, there are 1,689,660 different license plates that can fit the given description.

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Answer:

b=5

Step-by-step explanation:

Here,

b + 13 = 18

or, b = 18 - 13

or, b = 5

Hence, b=5

Answer:

B = 5/b, b  0

Step-by-step explanation:

Bb+13=18

Subtract 13 from both sides.

Bb=18−13

Subtract 13 from 18 to get 5.

Bb=5

The equation is in standard form.

bB=5

Divide both sides by b.

b

bB

​

=

b

5

​

Dividing by b undoes the multiplication by b.

B=

b

5

​

Answer:

WX = 18

Step-by-step explanation:

given Δ V'W'X'  is \(\frac{2}{3}\) of Δ VWX , then the sides of Δ VWX are \(\frac{3}{2}\) of Δ V'W'X'

WX = \(\frac{3}{2}\) × W'X' = \(\frac{3}{2}\) × 12 = 3 × 6 = 18