Please help and explain PLEASE HELP PLEASE :( Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help Please help

Please Help And Explain PLEASE HELP PLEASE :( Please Help Please Help Please Help Please Help Please
Please Help And Explain PLEASE HELP PLEASE :( Please Help Please Help Please Help Please Help Please

Answers

Answer 1

Answer:

  C. 10

Step-by-step explanation:

You want to know the bin size in a histogram with bin boundaries 10.5, 20.5, 30.5, ....

Bin size

The size of the bin is the difference between its boundary values. Here, all of the bins are the same size:

  20.5 -10.5 = 10

The bin size is 10.

__

Additional comment

The bin boundaries are typically chosen so that no data value can fall on the boundary, but must be unambiguously allocated to one bin or another. When the data values are integers, it is not uncommon to have the bin boundary be halfway between two integers.

Here, the boundary being 20.5 means a score of 20 will be counted in the bin to the left, and 21 will be counted in the bin to the right.

The boundary value shown at the right edge of the graph is not 100.5, as we might expect. However, we can reasonably assume that a test score of 100 would be counted in the bin with upper boundary 100, without any ambiguity.

Answer 2

Answer: 10

Step-by-step explanation:

The size of each value marker


Related Questions

Which table represents only values described by the relationship between t and w?

w = t + 11.2

Answers

The table of w = t + 11.2 is:

t     w

0    11.2

1     12.2

2    13.2

3    14.2

4    15.2

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

w = t + 11.2

The table can be calculated as,

When t = 1, w = 1 + 11.2 = 12.2

When t = 2, w = 2 + 11.2 = 13.2

When t = 3, w = 3 + 11.2 = 14.2

When t = 4, w = 15.2

So on..

Thus,

t     w

0    11.2

1     12.2

2    13.2

3    14.2

4    15.2

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PLEASE HELP EASY!!!!!!

PLEASE HELP EASY!!!!!!

Answers

Based on the information, we can infer that the salary a worker earns depends on the hourly wage they earn. In this case we will have to multiply the value of each hour by the number of hours worked. Additionally, I would agree to have a higher minimum wage to benefit workers.

What salary will workers have in each salary?

Based on the information in the graph, we can infer that workers will have wages of $5.2, $6.0, and $6.6. According to the above, the salary varies depending on the number of hours.

On the other hand, I believe that you would agree to a salary increase because this would benefit workers who would be better paid for each hour of work.

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Please help me out with this, thank you so much!

Please help me out with this, thank you so much!

Answers

The ranges of each equation for the domain {-2,0,2} are given as follows:

y = -x -> {-2, 0, 2}.y = x² - 3 -> {1, -3}.y = 3 + x -> {1, 3, 5}.y = 0.5x + 1 -> {0, 1, 2}.

How to obtain the ranges?

The domain is the set of input values for each equation, hence the range will be the set of output values for the given domain.

For the equation y = -x, the range is obtained as follows:

x = -2 -> y = -(-2) = 2.x = 0, y = -0 = 0.x = 2, y = -2.

Hence the range is:

{-2, 0, 2}.

The same procedure is applied to the other equations, the range is the set containing the numeric value of the function for each input value.

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In the town of Centralburg (Figure 1), which is laid out in a uniform block grid, the grocery store is three blocks East and four blocks North of the post office. Which of the following is a correct equation for the quantities represented in this scenario?

In the town of Centralburg (Figure 1), which is laid out in a uniform block grid, the grocery store is

Answers

Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

Help please!!!!
Whoever answers right gets brainliest!

Help please!!!!Whoever answers right gets brainliest!

Answers

It be the first one this > 4w+6
Answer:

4w+6.

Step-by-step explanation:

1. Formula of perimeter.

The perimeter is just the summation of the length of all sides of a shape. In the case of a circle, the perimeters is its circumference length. So for this case, all we need to do is add up all the sides in a single expression that will represent the perimeter.

2. Calculating the perimeter formula.

So perimeter for this triangle should be:

Side 1 + Side 2 + Side 3.

Where:

Side 1= w+4;

Side 2= 2w+2;

Side 3= w.

Then, perimeter is:

(w+4)+(2w+2)+(w)

Adding up all the like terms:

(w+2w+w)+(4+2)

(4w)+(6)

4w+6.

2gh – (3 + 7) + x/4

Choose 3 answers

Answers

Answer:2182

Step-by-step explanation:

Using log evaluate 3^x=10​

Answers

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Logs

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

<95141404393>

Using log evaluate 3^x=10

The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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8+3=
Is equals to what​

Answers

the answer is 11 !!!

Jada is evaluating 8 × 3 × 4. She doesn't know the product of 24 and 4 off the top of her head, so she decides to multiply 3 by 4 first. Which property is Jada using? associative property distributive property commutative property

Answers

Answer:

plz explain correctly please

Answer:

It would be Associative because she is Multiplying in different groups, so for example you said that she didn't know what 24 x 4 was so then she took 3 x 4 so she just regrouped the numbers to get the answer needed.

according to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570what was the number of number of female population

Answers

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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Quadrilateral MNPQ is rotated at 90 degrees counterclockwise about the origin and then rotated 270 degrees counterclockwise about the origin

Answers

After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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PLS HELPPPPPPPPPPPPPPPP!!!!!!!!!!!

PLS HELPPPPPPPPPPPPPPPP!!!!!!!!!!!

Answers

Answer:
( 2,b )
Hope it helps :)
have a good day!

HELP
A watermelon is shot out of an air cannon and travels 22 yards. How many feet does the watermelon travel?

Which conversion factor could you use to answer the question?

Answers

Answer:

1 yard = 3 feet

so...

22 yards = 3 (22)

3 x 22 = 66

conversion factor: 3/1

Step-by-step explanation:

Answer:

3 feet over 1 yard

Step-by-step explanation:

enjoy

38. A student wants to save more than $350 for a trip. The student has already saved $70 and has 25 weeks to save money before the trip. Which statement about the amount of money, m, the student must save each week to meet the goal is true?

A The inequality 25m + 70 < 350 represents the fact that the student must save more than $11.20 each week to meet the goal.
B The inequality 25m + 70 < 350 represents the fact that the student must save more than $265 each week to meet the goal.
C The inequality 25m + 70 > 350 represents the fact that the student must save more than $265 each week to meet the goal.
D The inequality 25m + 70 > 350 represents the fact that the student must save more than $11.20 each week to meet the goal. ZEF 4​

Answers

Answer:

A.) The inequality 25m + 70 < 350 represents the fact that the student must save more than $11.20 each week to meet the goal. I hope this helped u :)

Step-by-step explanation:

25 x 11.20 = 280

280+70=$350

but since the student wants to save more than $350 that's why it says the student must save MORE than $11.20 each week :)

must a function that is decreasing over a given interval always be negative over that same interval?explain.

Answers

Answer:

hijas de usted cómo estás bien

the sum of the first three terms of a geometric sequence is 91 and it's common ratio is 3. determine the first term of the sequence​

Answers

Answer:

a=7

Step-by-step explanation:

1st term=a

2nd term=ar

3rd term=ar^2

a+are+ar^2=91

r=3

a+3a+(3)^2a=91

a+3a+9a=91

13a=91

a=91/13

a=7

A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape.

389 357 359 364 375 424 326 395 402 373
374 371 365 367 365 326 339 393 392 369
374 359 357 403 335 397

A normal probability plot of the n 26 observations on escape time given above shows a substantial linear pattern; the sample mean and sample standard deviation are 371.08 and 24.45, respectively. (Round your answers to two decimal places.)

Required:
a. Calculate an upper confidence bound for population mean escape time using a confidence level of 95%.
b. Calculate an upper prediction bound for the escape time of a single additional worker using a prediction level of 95%.

Answers

Answer:

The upper confidence bound for population mean escape time is: 379.27

The upper prediction bound for the escape time of a single additional worker  is 413.64

Step-by-step explanation:

Given that :

sample size n = 26

sample mean \(\bar x\) =  371.08

standard deviation \(\sigma\) = 24.45

The objective is to calculate an upper confidence bound for population mean escape time using a confidence level of 95%

We need to determine the standard error of these given data first;

So,

Standard Error S.E = \(\dfrac{\sigma }{\sqrt{n}}\)

Standard Error S.E = \(\dfrac{24.45 }{\sqrt{26}}\)

Standard Error S.E = \(\dfrac{24.45 }{4.898979486}\)

Standard Error S.E = 4.7950

However;

Degree of freedom df= n - 1

Degree of freedom df= 26 - 1

Degree of freedom df= 25

At confidence level of 95% and Degree of freedom df of  25 ;

t-value = 1.7080

Similarly;

The Margin of error = t-value × S.E

The Margin of error = 1.7080 × 4.7950

The Margin of error = 8.18986

The upper confidence bound for population mean escape time is = Sample Mean + Margin   of  Error

The upper confidence bound for population mean escape time is =  371.08 +  8.18986

The upper confidence bound for population mean escape time is = 379.26986  \(\approx\) 379.27

The upper confidence bound for population mean escape time is: 379.27

b.  Calculate an upper prediction bound for the escape time of a single additional worker using a prediction level of 95%.

The standard error of the mean = \(\sigma \times \sqrt{1+ \dfrac{1}{n}}\)

The standard error of the mean = \(24.45 \times \sqrt{1+ \dfrac{1}{26}}\)

The standard error of the mean = \(24.45 \times \sqrt{1+0.03846153846}\)

The standard error of the mean = \(24.45 \times \sqrt{1.03846153846}\)

The standard error of the mean = \(24.45 \times 1.019049331\)

The standard error of the mean = 24.91575614

Recall that : At confidence level of 95% and Degree of freedom df of  25 ;

t-value = 1.7080

The Margin of error = t-value × S.E

The Margin of error = 1.7080 × 24.91575614

The Margin of error = 42.55611149

The upper prediction bound for the escape time of a single additional worker  is calculate by the addition of

Sample Mean + Margin of Error

= 371.08 + 42.55611149

= 413.6361115

\(\approx\) 413.64

The upper prediction bound for the escape time of a single additional worker  is 413.64

Find the 6terms of the series 247

Answers

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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NO FILES!!!
HELP WHAT IS THE ANSWER Given Circle Z with tangents XW and XY what is the measure of arc WVY

NO FILES!!!HELP WHAT IS THE ANSWER Given Circle Z with tangents XW and XY what is the measure of arc

Answers

A the answer is A....

The requried measure of the ARC(WVY) is 250°. Option C is correct.

What is the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
We know that the tangent subtended to the circle from a common point then,
larger arc - smaller arc / 2 = angle between the tangent
10a - 4a -10 / 2 = 70
6a = 140 + 10
a = 150/6
a = 25

Now,

arc(WVY) = 10a = 10*25
                         = 250°

The requried, measure of the ARC(WVY) is 250°. Option C is correct.

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Please solve (20 points)

Please solve (20 points)

Answers

Answer:

104.65 m

Step-by-step explanation:

The plane with the smaller angle of depression is closer to the raft.

Taking the tan values of both planes :

Plane 1 (57°)

tan 57° = 3000 + x / h1.54 = 3000 + x / hh = 3000 + x / 1.54 (Equation 1)

Plane 2 (48°)

tan 48° = x / h1.11 = x/hh = x/1.11 (Equation 2)

Equate Equations 1 and 2 :

3000 + x / 1.54 = x/1.111.11 (3000 + x) = 1.54x3330 + 1.11x = 1.54x0.43x = 3330x = 77.44 m

Taking the sin ratio to find distance :

sin 48° = 77.44/distance0.74 = 77.44/distancedistance = 77.44/0.74distance = 104.65 m

The ordered pair (1,0) is a solution to the inequality y

Answers

Answer:

can u please be more specific i don't rlly understand.

The solution to the inequality is not ( 1 , 0 )

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = x³ - 4x² + 2

Now , when x = 1 and y = 0

0 = ( 1 )³ - 4 ( 1 )² + 2

0 = 1 - 4 + 2

0 ≠ -1

And , 0 > -1

Hence , the inequality is solved

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The complete question is attached below :

The ordered pair (1,0) is a solution to the inequality y = x³ - 4x² + 2

a) True

b) False

20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.

B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.

C. some other response

20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached.

Answers

We can deduce that option A is likely to be true based on the given graph of rolling dice median data.

What is the median?

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.

The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).

This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.

However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.

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what are the coorindates of point A

Answers

Point A has coordinates (x1, y1). The x-coordinate, x1, is the horizontal distance from the origin, while the y-coordinate, y1, is the vertical distance from the origin.

What are coordinates?

Coordinates in math refer to a pair of numbers that indicate the position of a point on a two-dimensional graph or in a three-dimensional space. The two numbers are usually referred to as the x-coordinate (or abscissa) and the y-coordinate (or ordinate). In three-dimensional space, the third number is referred to as the z-coordinate (or applicate). A point located at (3, 4) on a two-dimensional graph would be located 3 units along the x-axis and 4 units along the y-axis. Similarly, a point located at (3, 4, 5) in three-dimensional space would be located 3 units along the x-axis, 4 units along the y-axis, and 5 units along the z-axis.

Both coordinates indicate the exact location of Point A in a coordinate system. For example, if Point A is located at (2, 4), it means that the x-coordinate of Point A is 2, which is 2 units away from the origin in a horizontal direction, and the y-coordinate of Point A is 4, which is 4 units away from the origin in a vertical direction. The origin is usually located at (0, 0) in a coordinate system.

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What is the total amount of outcomes possible when a coin is tossed four times and a card if selected from a standard deck of cards.

Answers

Answer:

About 60 pecent

Step-by-step explanation:

Answer: 832 possible outcomes

To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.

The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:

2 x 2 x 2 x 2 = 16

The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:

16 x 52 = 832

So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.

Find the area of the triangle with vertices: Q(4,4,-1), R(5,7,-2), S(3,2,-4).

Answers

Answer:

The area of the triangle is 5.875 square units.

Step-by-step explanation:

First, we need to calculate the lengths of the triangle by means of Pythagorean Theorem:

\(a = \|\overrightarrow {QR}\| = \sqrt{(5-4)^{2}+(7-4)^{2}+(-2+1)^{2}}\)

\(a \approx 3.317\)

\(b = \|\overrightarrow {RS}\| = \sqrt{(3-5)^{2}+(2-7)^{2}+(-4+2)^{2}}\)

\(b \approx 5.745\)

\(c = \|\overrightarrow {QS}\| = \sqrt{(3-4)^{2}+(2-4)^{2}+(-4+1)^{2}}\)

\(c \approx 3.742\)

Now, we can use the following formula to fid the area of the triangle (\(A\)), measured in square units:

\(A = \sqrt{s\cdot (s-a)\cdot (s-b)\cdot (s-c)}\)

Where:

\(s\) - Semiperimeter of the triangle, dimensionless.

\(a\), \(b\), \(c\) - Sides of the triangle, dimensionless.

The semiperimeter can be determined by this:

\(s = \frac{a+b+c}{2}\)

If we know that \(a \approx 3.317\), \(b \approx 5.745\) and \(c \approx 3.742\), the area of the triangle is:

\(s = \frac{3.317+5.745+3.742}{2}\)

\(s = 6.402\)

\(A = \sqrt{(6.402)\cdot (6.402-3.317)\cdot (6.402-5.745)\cdot (6.402-3.742)}\)

\(A \approx 5.875\)

The area of the triangle is 5.875 square units.

can somebody help me solve this ??????

can somebody help me solve this ??????

Answers

the equation would be -2/5x-6

What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?

What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?

Answers

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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Help please i would appreciated it


here is the picture is about Row Ops

Help please i would appreciated ithere is the picture is about Row Ops

Answers

The matrix operation add -4(row 1) to row 3 is\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

Evaluating the matrix expression

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

\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\4&-1&6&-8\end{array}\right]\)

From the question, we understand that

We are to add -4(row 1) to row 3

This means that

row 3 = row 3 - 4 * row 1

When these values are evaluated, we have

4: 4 - 4 * 1 = 0

-1: -1 - 4 * 2 = -9

6: 6 - 4 * 1 = 2

-8: -8 - 4 * -5 = 12

This means that we relace 4, -1, 6, and -8 in row 3 with 0, -9, 2 and 12

Using the above as a guide, we have the following:

\(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

Hence, the result of the matrix expression is \(\left[\begin{array}{ccc | c}1&2&1 & -5\\0&4&-2 & 3\\0&-9&2&12\end{array}\right]\)

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Im 709 + 187, 709 is an ?

Answers

Answer:

188,418

Step-by-step explanation:

The equation of a circle is:
(x-2)^2 + (y+4)^2 = 25
Part A:
Determine the center and the radius of the circle.

...is this correct?

The equation of a circle is: (x-2)^2 + (y+4)^2 = 25Part A:Determine the center and the radius of the

Answers

The requried center and radius of the given circle are (2, -4) and 5.

The standard equation of a circle is given as,
(x - h)² + (y - k)² = r²

Where, (h, k) is the center of the circles and r is the radius of the circle,

The equation of the given circle is,
(x - 2)² + (y + 4)² = 25

Comparing the above equation with the standard equation we have,
(h, k) = (2, -4)

r² = 5²; r =5

Thus, the requried center and radius of the given circle is (2, -4) and 5.

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