El valor oficial dado a conocer, de la energía "E" liberada por la bomba atómica lanzada sobre Hiroshima, el 6 de agosto de 1945, fue de 8,9 x 1013 Joules, utilice la ecuación M=0,667∙log⁡(E/〖10〗^4,4 ) para determinar la magnitud del sismo provocado por

Answer:

y  =  \(-\frac{1}{2}\) x + 9

Step-by-step explanation:

Given parameters:

  Coordinates = (-2,8)

Equation of the line  y  = 2x + 5;

Unknown:

Linear equation of a line perpendicular = ?

Solution:

From the given expression, a line perpendicular will have a negative inverse of the slope given.

           y  = 2x + 5

Equation of a line  is y = mx + c;

y and x are the coordinates

  m is the slope

   c is the intercepts

    y  = 2x + 5 ;

 The slope is 2;

  A line perpendicular will have a slope of \(-\frac{1}{2}\)  

 Since y = 8 and x  = -2, let us find c;

     8  = 2 x \(-\frac{1}{2}\)  + c

    8 = -1 + c

     c  = 8+1 = 9

The equation of the line is;

       y  =  \(-\frac{1}{2}\) x + 9

The combined cost of 1 pound of salmon and 1 pound of trout is $16.60

Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign.

The expression on the left and the expression on the right are shown to be equal in reference to one another.

Let x be the cost per pound of salmon and y be the cost per pound of trout.

Melissa buys 212 pounds of salmon and 114 pounds of trout. She pays a total of $31.25

2.5 × x + 1.25× y = $31.25

2.5x + 1.25y = 31.25

The trout costs $0.20 per pound less than the salmon.

y = x - 0.20

hence

2.5x + 1.25y = 31.25

2.5y + 1.25(x - 0.20) = 31.25

2.5y + 1.25x - 0.25 = 31.25

2.5x + 1.25x = 31.25 + 0.2

x = 31.5/3.75

x = $8.4

The cost per pound of salmon be represented by x = $8.4

y = x - 0.20

y = 8.4 - 0.20

y = $8.2

The cost per pound of trout be represented by y = $8.2

The cost of a pound of salmon and trout is:

= $8.4 + $8.2

= $16.60

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Measures of central tendency, measures of variation, and crosstabulation are all types of descriptive statistics.

Descriptive statistics summarize and describe the main features of a data set, including the typical or central values (measures of central tendency) and the spread or variability of the data (measures of variation). Crosstabulation, also known as contingency tables, is a way to summarize the relationship between two variables by displaying their frequency distributions in a table format.
Measures of central tendency, measures of variation, and crosstabulation are types of descriptive statistics. Descriptive statistics are used to summarize and describe the main features of a dataset in a simple and meaningful way.

Central tendency refers to the measures that help identify the center or typical value of a dataset, such as mean, median, and mode. Variation measures describe the spread or dispersion of data, including range, variance, and standard deviation. Crosstabulation is a method of organizing data into a table format to show the relationship between two categorical variables.

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The distance between the intersection and the bank is equal to 77.0 feet.

In Mathematics, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides are proportional to the  lengths of corresponding altitudes when two (2) triangles are similar.

Note: Let the distance between the intersection and the bank be represented by the variable x.

By applying the properties of similar triangles, we have the following ratio of corresponding side lengths;

x/50 = 382/248

248x = 382(50)

x = 19,100/248

x = 77.0 feet.

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Complete Question:

The intersection of the two roads shown forms two similar triangles. If AC is 382 feet, MP is 248 feet, and the gas station is 50 feet from the intersection, how far from the intersection is the bank?

Answer:

5

Step-by-step explanation:

Answer:

number of red tags = 200 - 70 - 38 = 92

Step-by-step explanation:

Jordan has a total of 200 name tag and the tags have different varieties of colors. The tags have blue, yellow and red color . Let us find the number of blue  tags

number of blue tags = 35% of 200

number of blue tags = 35/100 × 200

number of blue tags = 70

The number of yellow tags = 38

The remaining number of tags are red color. Therefore the number of red tag will be the total number of tag minus the number of blue tags and the number of yellow tags.

number of red tags = 200 - 70 - 38 = 92

Answer:

The answer is 3.5

Step-by-step explanation:

I just got it right on the instruction.

3 pm Eastern Time is 2 pm Central Time. Central Time is one hour behind Eastern Time, so subtracting one hour from the Eastern Time will give the corresponding Central Time.

Eastern Time is one of the four primary time zones used in the United States and Canada. It is located east of the Central Time Zone and is four hours behind Coordinated Universal Time (UTC). Central Time Zone is one hour behind Eastern Time. So, when it is 3 pm Eastern Time, the corresponding time in the Central Time Zone is 2 pm. To convert a time from Eastern Time to Central Time, one must subtract one hour from the Eastern Time. This is due to the fact that Central Time is an hour behind Eastern Time. For example, if it is 3 pm Eastern Time, it will be 2 pm Central Time. This holds true for all hours of the day, so subtracting one hour from the Eastern Time will give the corresponding Central Time.

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The correlation Illustrates that B. The graph shows a positive correlation, and it is a non-linear model.

In this scenario, the width would be plotted on the x-axis of the scatter plot while the length in centimeters would be plotted on the y-axis of the scatter plot.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select the format trend line, and then tick the box to display an equation for the line of best fit on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the width and length, a linear equation for the line of best fit is given by y = 1.31x + 0.02.

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Answer: The graph shows no correlation, and it is neither linear nor exponential.

Step-by-step explanation:

try doing a line of fit you're ALWAYS. gonna be ignoring other dots/points/coorids.

Why it's not a correlation is because nothing is together. You could consider a lot of dots on the edge.

If that doesn't make sense to you lets go through each answer

The graph shows a negative correlation, and it is a linear model.

The coordinates don't form any specific line

None of the coordinates are together

there's no slope since there's no line of fit.

it's THE SAME FOR THE OTHER ANSWER CHOICES BESIDES:

'The graph shows no correlation, and it is neither linear nor exponential.'

Answer:

l-37l = 37

Step-by-step explanation:

The absolute value of a negative number is the positive of the number

Answer:

true

Step-by-step explanation:

you have a square 0 is always first

Answer:

true

Step-by-step explanation:

:)

Answer:

Terms: x, 4y, 32

variables: x, y

constant: 32

coefficients: 4, 1

Step-by-step explanation:

Hope this helps!

The polynomial function is f(x) = (x - 3)((x - 2)² + 9)

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

Zeros: x=3, 2 +-3i

The polynomial can be repesented as

f(x) = product of (x - zeros)

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

f(x) = (x - 3)(x - (2 - 3i))(x - (2 + 3i))

This can be expressed as

f(x) = (x - 3)((x - 2)² + 9)

hence, the polynomial is f(x) = (x - 3)((x - 2)² + 9)

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Answer:

Hello,

answer : 259269764699508231

Step-by-step explanation:

We must use permutations with repetitions

The curve of intersection between the cylinder x^2 + y^2 = 1 and the plane y + z = 2 is a circle lying on the plane y + z = 2. The parametric equations for this curve are x = cos(θ), y = sin(θ), and z = 2 - sin(θ), where θ is the parameter representing points on the circle.

To find the parametric equations for the curve of intersection between the cylinder and the plane, we can start by parameterizing the cylinder using the angle θ. Since the equation x^2 + y^2 = 1 represents a circle in the x-y plane with radius 1, we can use θ as a parameter to represent points on this circle.

The parametric equations for the cylinder are:

x = cos(θ)

y = sin(θ)

z = 2 - y

Next, we substitute these equations into the plane equation y + z = 2 to determine the intersection points. By substituting y and z, we have sin(θ) + 2 - sin(θ) = 2, which simplifies to sin(θ) - sin(θ) = 0. This implies that the plane equation is satisfied for any value of θ.

Therefore, the intersection between the cylinder and the plane is the entire cylinder itself, lying on the plane y + z = 2. The parametric equations for the curve of intersection are x = cos(θ), y = sin(θ), and z = 2 - sin(θ).

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This graph represents a function Because it passes the vertical line test.

Let us first understand the Vertical Line Test.

In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.

If there exists a line that intersects the graph, we say the graph passes the vertical line test.

The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

Hence this graph passes the vertical line test because there are many vertical lines that intersect it.

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Answer:

2+4>8

Step-by-step explanation:

the left side 6 is not greater than the right side 8,which means tjat the given statement is false

The expression r > 8 -4 is satisfied for value of r greater than 4.

The expression given is r + 4 > 8.

We have to check , whether , r = 2 is a solution of it or not.

What do you mean by inequalities ?

If the algebraic expressions are related by the symbols , greater than or greater than or equal to, less than, or less than or equal to , then relations are called as inequalities.

As per the question ;

The inequality given is ;

r + 4 > 8

Let's solve it to get the value of r ;

So ;

r > 8 -4

r > 4

Thus , the expression r > 8 -4 is satisfied for value of r greater than 4.

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Answer:

Assuming that m does not = 0, then the function has a non horizontal slope, so the value will increase as the position moves away from zero in either the negative or positive direction depending on whether the slope (m) is negative or positive. The furthest that the position can be from 0 is at one of the endpoints of the interval [3, 7), therefore, the maximum value of the function on the same interval must be at one of the endpoints.

We can see on the graph that the solution of the system of equations is (-1, -1).

Here we have the following system of equations:

y = 2x + 3

y = -x

And we have a graph of that system. It is easy to solve a system of equations when we have a graph because the only thing we need to do is to find the intersection between the two graphs.

In this case, we can see that the lines red and blue intersect at the point (-1, -1), so that is the solution of our system.

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Step-by-step explanation:

Yes

yes

yes

no

hope this helps

Answer:

7

Step-by-step explanation:

42/6=7

Answer:

Step-by-step explanation:

y + 2 = 1/7(x - 7)

y + 2 = 1/7x - 1

y = 1/7x - 3

A is the answer

tan is 15/8

Since cos = adjacent/ hypotenuse

Adjacent = 8

Hypotenuse = 17

Let's find opposite

Using the Pythagoras theorem

Opposite ^2 = Hypotenuse^2 - adjacent^2

Opposite = \(\sqrt{17^2 - 8^2}\)

Opposite = \(\sqrt{289 - 64}\)

Opposite = \(\sqrt{225}\)

Opposite = 15

Tan = opposite/ adjacent

Tan = 15/ 8

Thus, tan is 15/8

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Answer: x = 560/3

Step-by-step explanation:

First! We are going to be using the PEMDAS method! If you have any questions about this method please go ahead and ask below! The first step in our equation is the P - parenthesis, so we are going to multiply \(\frac{3}{5}\)  to everything inside of the parenthesis (x and -710)!

\(\frac{3}{5} (x -710) = -314\)

\(\frac{3}{5}x+(\frac{3}{5}*-710)=-314\)

\(\frac{3}{5}x -426 = -314\)

Now, we are going to add 426 to both sides of the equation, to single out the "x" variable!

\(\frac{3}{5}x= 112\)

Finally, let's multiply both sides by \(\frac{5}{3}\) to cancel out the \(\frac{3}{5}\) fractions, to get the "x" variable alone.

\(x=\frac{560}{3}\)

↑This is our answer!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

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\(2x - 3 = 8 \\ \\⇝2x = 8 + 3 \\ \\⇝2x = 11 \\ \\⇝x = \frac{11}{2} \\ \\⇝x = 5.5\)

\(2x - 3 = 8 \\ \\ ➪ \: 2 \times 5.5 - 3 = 8 \\ \\➪ \: 11 - 3 = 8 \\ \\➪ \: 8 = 8 \\ \\ ➪ \: L.H.S.=R. H. S\)

Hence verified. ✔

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Answer:

X>8-3

X>5

So choose the third one

Step-by-step explanation:

Answer:

x-8>-3

x>-3+8

x>5

because in 2 step + - = - but the sign should use of greater number so in last step the value of 5 is + .