490,612 round to the nearest hundred thousand​

Yes, corresponding angles can be supplementary.

In geometry, two angles are considered supplementary if they add up to 180 degrees. In other words, if two angles have a sum of 180 degrees, they are called supplementary angles.

When two parallel lines are cut by a transversal, corresponding angles are angles that lie in the same relative position and are on the same side of the transversal line. These angles are found at the same relative distance from the two lines, meaning they are congruent.

So, if two parallel lines are cut by a transversal, and the corresponding angles are congruent, then it is possible for them to be supplementary as well. This is because if two angles are congruent, then they must have the same measure.

And if they have the same measure, then their sum will always equal to double the measure of either angle, which would make them supplementary.

In conclusion, corresponding angles can be supplementary if they are congruent.

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The value of C₂₂ from the matrices A and B is C₂₂ = 18

From the question, we have the following parameters that can be used in our computation:

Matrices A and B

Given that

C = B - 2A

This means that

C = B - 2 times A

We have

C₂₂ = B₂₂ - 2A₂₂

So, we have

C₂₂ = 12 - 2 * -3

Evaluate the expression

C₂₂ = 18

Hence, the value of C₂₂ is 18

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The expressions for Y(t) and X(t) obtained by applying inverse Laplace transforms to the given equations are :

For Y(t):

Y(t) = 2 + 2e^(-t) + 1/4 + 1/4 * sin(2t)

For X(t):

X(t) = 1/12 + e^(-0.5t) - e^(-4t) - e^(-3t)

To find Y(t) using Laplace transforms for the equation Y(s) = 2(s + 1) / (s(s^2 + 4)), we need to apply the inverse Laplace transform to the given expression.

Decompose the fraction using partial fraction decomposition:

1/(s(s^2 + 4)) = A/s + (Bs + C)/(s^2 + 4)

Multiplying through by s(s^2 + 4), we get:

1 = A(s^2 + 4) + (Bs + C)s

Expanding the equation, we have:

1 = As^2 + 4A + Bs^2 + Cs

Equating the coefficients of like powers of s, we get the following system of equations:

A + B = 0 (for s^2 term)

4A + C = 0 (for constant term)

0s = 1 (for s term)

Solving the system of equations, we find:

A = 0

B = 0

C = 1/4

Therefore, the decomposition becomes:

1/(s(s^2 + 4)) = 1/4(s^2 + 4)/(s^2 + 4) = 1/4(1/s + s/(s^2 + 4))

Taking the Laplace transform of the decomposed terms:

L^(-1){Y(s)} = L^(-1){2(s + 1)/s} + L^(-1){1/4(1/s + s/(s^2 + 4))}

The inverse Laplace transform of 2(s + 1)/s is 2 + 2e^(-t).

For the second term, we have two inverse Laplace transforms to find:

L^(-1){1/4(1/s)} = 1/4

L^(-1){1/4(s^2 + 4)} = 1/4 * sin(2t)

Combining all the terms, we get:

Y(t) = 2 + 2e^(-t) + 1/4 + 1/4 * sin(2t)

Thus, Y(t) = 2 + 2e^(-t) + 1/4 + 1/4 * sin(2t).

Now, let's find X(t) using Laplace transforms for the equation X(s) = (s + 1 * e^(-0.5s))/(s(s + 4)(s + 3)).

Apply the inverse Laplace transform to X(s).

X(t) = L^(-1){(s + 1 * e^(-0.5s))/(s(s + 4)(s + 3))}

Decompose the fraction using partial fraction decomposition:

1/(s(s + 4)(s + 3)) = A/s + B/(s + 4) + C/(s + 3)

Multiplying through by s(s + 4)(s + 3), we get:

1 = A(s + 4)(s + 3) + Bs(s + 3) + C(s)(s + 4)

Expanding the equation, we have:

1 = A(s^2 + 7s + 12) + Bs^2 + 3Bs + Cs^2 + 4Cs

Equating the coefficients of like powers of s, we get the following system of equations:

A + C = 0 (for s^2 term)

7A + 3B + 4C = 0 (for s term)

12A = 1 (for constant term)

Solving the system of equations, we find:

A = 1/12

B = -1/3

C = -1/12

Therefore, the decomposition becomes:

1/(s(s + 4)(s + 3)) = 1/12(1/s - 1/(s + 4) - 1/(s + 3))

Taking the Laplace transform of the decomposed terms:

L^(-1){X(s)} = L^(-1){(1/12)(1/s - 1/(s + 4) - 1/(s + 3))}

The inverse Laplace transform of 1/s is 1.

The inverse Laplace transform of 1/(s + 4) is e^(-4t).

The inverse Laplace transform of 1/(s + 3) is e^(-3t).

Combining all the terms, we get:

X(t) = 1/12 + 1 * e^(-0.5t) - 1 * e^(-4t) - 1 * e^(-3t)

Thus, X(t) = 1/12 + e^(-0.5t) - e^(-4t) - e^(-3t).

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If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be: D. .95.

A confidence interval is also referred to as level of confidence and it can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.

For instance, the confidence interval at 95% is given by p - E < p < p + E

Since the confidence interval for the mean of a population is at 95%, the confidence coefficient would be calculated by simply dividing the confidence interval by 100:

Confidence coefficient = 95/100

Confidence coefficient = 0.95

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Answer:

Shape 2 and 3

Step-by-step explanation:

shape 1 is not enclosed so it cannot have area

Answer:

700

Step-by-step explanation:

The '7' in the number 1273  ..it is in the second place which represents 'tens' so it is equal to    '70'   ten times this amount would be  700.    If you have a list of numbers to choose from.....choose one with the '7' in the THIRD position.

do you want me to make you a box and whisker plot if so then here

With the help of two variable equations, the two numbers are 8 and 16.

There are three ways to solve equations-

1. Substitution method

2. Elimination method

3. Graphing method.

Now, let the number be x and y.

Therefore, the sum of two numbers is twenty-four,  x+y= 24

Now, given that,

3x-4=2y-12

3x-2y=-8

2y-3x=8

Now, substituting the value of y in the equation

2(24-x)-3x=8

40=5x

x=8

Therefore, the two numbers are 8 and 16.

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Answer:

\(187.74\:\mathrm{cm}\)

Step-by-step explanation:

The area of a rectangle is given by \(l\cdot w\). Therefore, we can set up the following inequality:

\(l\cdot 16 \leq 3,003.84\).

Solving this inequality, we have:

\(l \leq 187.74\).

Therefore, the largest length Carmen's painting can be is \(\fbox{$187.74\:\mathrm{cm}$}\).

Answer:

2x

Step-by-step explanation: given (0,0) and (1,2)

y=mx+b

0=(m*0)+b

0=b (remember anything times 0, is 0)

2=(m*1)+0

2=M+0

y=mx+b

y=2x+0

Based on the line of best fit, the approximate maximum depth of a lake that has 31 miles of shoreline is; 142.968 ft

The line of best fit is defined as a straight line which is drawn to pass through a set of plotted data points to give the best and most approximate relationship that exists between such data points.

Now, we are given a table of values that shows the total shoreline in miles which will be represented on the x-axis and then the maximum depth of several area lakes which will be represented on the y-axis.

However, when the geologist found the graph, she arrived at an equation of best fit as;

y = 4.26x + 10.908.

Thus, for 31 miles of shoreline, the approximate maximum depth is;

Approximate maximum depth = 4.26(31) + 10.908.

Approximate maximum depth = 142.968 ft

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Answer:

143 feet

Step-by-step explanation:

its technically 142 and change but edmentum rounds up

Answer:

hahsgdhfidnrhfibfrujdbfufnrie

Step-by-step explanation:

thanks

Answer:

Approximately 163 seconds (A)

Step-by-step explanation:

Line up 192 months on the x-axis with the line of best fit then run it across to the y-axis and it should be around 163 seconds.

Answer:

a

Step-by-step explanation:

#plm plato lives matter

Answer:

the unit rate is 70 miles per 1 hour

Step-by-step explanation:

Answer:

5 tables

Step-by-step explanation:

Let x be the number of tables the school needs to rent, and c be the total cost of renting the tables.

We can use the following equation to represent the cost of renting from the first company:

c = 20 + 12x

And we can use the following equation to represent the cost of renting from the second company:

c = 30 + 10x

As c is the same constant in both equations, we can say the following:

20 + 12x = 30 + 10x

Now we can solve this equation by simplifying:

20 + 12x = 30 + 10x

20 + 2x = 30

2x = 10

x = 5

Therefore, the school will need to rent 5 tables for the cost to be the same from both renting companies.

Answer: 5 tables

Step-by-step explanation:

The first rental company will charge $32 for one table.

The second rental company will charge $40 for one table.

So if we make a table, and keep adding $12 to the first company and $10 to the second it will look like this.

First company                          Second company                   Table

 $32                                                  $40                                     1

 $44                                                  $50                                     2

 $56                                                  $60                                     3

 $68                                                  $70                                     4

 $80                                                  $80                                     5

Therefore, the school can rent 5 tables for the same price in both companies.

Answer:

(4,-1)

Step-by-step explanation:

x is 4 y is -1

Answer:

(2,1)

Step-by-step explanation:

Let's solve your system by elimination.

6x−7y = 5;−4x+7y=−1

6x−7y=5

−4x+7y=−1

Add these equations to eliminate y:

2x = 4

Then solve2x = 4for x:

2x = 4

(Divide both sides by 2)

x = 2

Now let's plug x in to solve for y.

6x - 7y = 5

6(2) - 7y = 5

12 - 7y = 5

subtract 12 on both sides.

-7y = -7

divide both sides by -1

y = 1

two angles that add up to 90 degrees are called complementary angles.

The point (x, y) on the function f(x) = -4x - 9 that is closest to the point (3, 1) is (x, y) = (-37/17, -5/17).

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

d = sqrt((x₂ - x₁)² + (y₂ - y₁)²)

In this case, we want to minimize the distance between (x, y) on the function f(x) = -4x - 9 and (3, 1). Substituting the values into the distance formula, we have:

d = sqrt((3 - x)² + (1 - (-4x - 9))²)

Expanding the squared terms and simplifying, we have:

d = sqrt((3 - x)² + (1 + 4x + 9)²)

 = sqrt((3 - x)² + (4x + 10)²)

 = sqrt((9 - 6x + x²) + (16x² + 80x + 100))

Using x = -b/2a, we can find the value of x at the vertex:

x = -74 / (2 * 17)

x = -74 / 34

x = -37/17

Substituting this value back into the original expression, we can find the corresponding y-value:

y = -4x - 9

y = -4(-37/17) - 9

y = 148/17 - 9

y = 148/17 - 153/17

y = -5/17

Therefore, the point (x, y) on the function f(x) = -4x - 9 that is closest to the point (3, 1) is (x, y) = (-37/17, -5/17).

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Answer:

Ngl I don't know what the F!CK this is

The simple interest rate that is equivalent to the discount rate can be determined by multiplying the discount rate by (Time / 365).

i) To determine the maker of the note, we need to identify who issued the promissory note. Unfortunately, the information provided does not specify the name of the maker or issuer of the note. Without additional information, it is not possible to determine the maker of the note. ii) To calculate the face value of the note, we can use the formula for the maturity value of a promissory note: Maturity Value = Face Value + (Face Value * Interest Rate * Time). Given that the maturity value is RM7,266 and the note matured on 11 June 2022 (assuming a 365-day year), and Zafran held the note for 52 days, we can calculate the face value: 7,266 = Face Value + (Face Value * 0.09 * (52/365)). Solving this equation will give us the face value of the note.

iii) The discount date is the date on which the note was discounted at the bank. From the information provided, we know that Zafran discounted the note after holding it for 52 days. Therefore, the discount date would be 52 days after 10 January 2022. iv) The discount rate can be calculated using the formula: Discount Rate = (Maturity Value - Discounted Value) / Maturity Value * (365 / Time). Given that the discounted value is RM7,130.77 and the maturity value is RM7,266, and assuming a 365-day year, we can calculate the discount rate. v) The simple interest rate that is equivalent to the discount rate can be determined by multiplying the discount rate by (Time / 365). This will give us the annualized interest rate that is equivalent to the discount rate.

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Answer:

565

566

567

568

569

Step-by-step explanation:

info we know:

500

060

possibilities:

565

566

567

568

569

Answer:

15 and 20

Step-by-step explanation:

Answer:

62.5 miles per hour

Step-by-step explanation:

Assuming she had the same speed the whole time and never stopped, just divide the miles driven by the time to get miles per hour. 437.5/7 = 62.5, so she drove 62.5 miles per hour.

Hopefully this helps- let me know if you have any questions!

You may use the following formula to convert gallons to litres:

litres = gallons multiplied by 3.78541

Gallons and litres are both volume measures used to quantify the quantity of liquid in a container. Gallons are a volume unit commonly used in the United States and a few other nations, but litres are used in the majority of the rest of the globe.

A conversion factor is required to convert between these two volume units. A conversion factor is a ratio that connects two different measuring units. The conversion factor in this example is 3.78541 litres per gallon, which indicates that one gallon equals 3.78541 litres.

We increase the quantity of gallons by the conversion ratio of 3.78541 to convert gallons to litres. This yields the number of litres equal to the original volume in gallons.

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Answer:

y= -1.5x+2

Step-by-step explanation:

Answer:

1200:800

Step-by-step explanation:

1200÷3=400

400×2=800

800 laptops

Answer:

800 Laptops

Step-by-step explanation:

3:2 = 1200:x

I first divide 1200 with 3 because that is the ratio of the students. WE can see that 1200/400 equals 3. So if I multiply 2 times 400, then we get 800 Laptops.

Answer:

C is the answer

Step-by-step explanation:

slope = -4 and y intercept =3

Answer:

\(r = {(\frac{v}{27} ) } ^{2} \: - p \)

Step-by-step explanation:

\(v = {3}^{3} \sqrt{p + r} \\ v = 27 \sqrt{p + r} \\ \frac{v}{27} = \frac{27 \sqrt{p + r} }{27} \\ \)

\(\frac{v}{27} = \sqrt{p + r} \\ {(\frac{v}{27} ) }^{2} = p + r \\ {(\frac{v}{27} ) } ^{2} \: - p = r \\ \)

Answer:

\(\displaystyle r=\frac{v^2 }{3^{6} }-p\)

Step-by-step explanation:

\(v=3^3(\sqrt{p+r} )\)

Divide both sides by 3³.

\(\frac{v}{3^3 } =\frac{3^3(\sqrt{p+r} )}{3^3}\)

\(\frac{v}{3^3 } =\sqrt{p+r}\)

Square both sides.

\((\frac{v}{3^3 }) ^2 =(\sqrt{p+r})^2\)

\(\frac{v^2 }{3^{3 \times 2} }=(\sqrt{p+r})^2\)

\(\frac{v^2 }{3^{6} }=p+r\)

Subtract p from both sides.

\(\frac{v^2 }{3^{6} }-p=p+r-p\)

\(\frac{v^2 }{3^{6} }-p=r\)

Switch sides.

\(r=\frac{v^2 }{3^{6} }-p\)