Trigonometry: find H

I you can find H, 5 star review, I can't seem to figure it out. DO I NEED MORE INFORMATION

LHL is equal to RHL then limit exist

LHL is not equal to RHL then limit does not exist.

As per the given data the graph of the function is given

Here we have to determine the limit at the indicated value of a, if it was exists.

You may have found the limit from one side instead of from both sides as notated.

Now we have to find:

\($\lim _{x \rightarrow a} f(x)$\) when a = 1

We find the left hand side limit and the right hand side limit at a = 1

So,

The Left hand limit is \($\lim _{\mathrm{x} \rightarrow 1^{-}} \mathrm{f}(\mathrm{x})=\frac{3}{2}$\)

The Right hand limit is \($\lim _{x \rightarrow 1^{+}}\) f(x) = 3

Here \($\lim _{x \rightarrow 1^{-}} f(x) \neq \lim _{x \rightarrow 1^{+}} f(x)$\)

Hence \($\lim _{x \rightarrow a}\) f(x) = DNE

From the graph we find the left hand limit and the right hand limit:

If Left hand limit = Right hand limit then limit exist

If then Left hand limit ≠ Right hand limit then limit does not exist.

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Use the graph of the given function f to determine the limit at the indicated value of a, if it exists.(If an answer does not exist, enter DNE.)

Graph attached at the end of solution

you may have found the limit from one side instead of from both sides as notated. how might you consider the limit as x approaches a from both sides?

There are three highways in the county. the number of daily accidents that occur on these highways are poison random variables with respective parameters . 3, . 5, and . 7 The expected number of accidents that will happen on any of these highways today is 1.5

There is a theorem that we can use to find the expected value of a random variable that is a sum of other random variables as follows.

If X= X₁ + X₂ +...... +Xₓ, then E( X)= E(X₁) +E( X₂) +...... +E(Xₓ),

In this case, let X = the number of accidents that will happen on any of those highways today,

are the numbers of accidents on each highway, respectively.

Then X= X₁ + X₂ +X₃ .

Since  are Poisson variates, their expected values are the parameters given, .3, .5 and .7.

So E(X₁) = .3 E( X₂) = .5 E(X₃)= .7

Thus, E(X)= 1.5

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Answer:

Step-by-step explanation:

If the equation is f(x)=18x^2+10x+1 then the table should/could look like this

x               y

-3----------(133

-2-----------(53

-1------------ (9

0-----------(1

1------------(29

2-----------(93

3-----------(193

Answer:

so pascal is 13 and serge is 10

Step-by-step explanation:

i really hope this helps!

Answer:

Step-by-step explanation:

Let Pascal's age be x

Then Serge is x - 3

Sum of their ages is 23

Pascal is 13 and Serge is 10

The required sequences are The first pair is rotated and translated, the second pair is reflected and translated, and the third pair is reflected and translated.

Translation means the displacement of a figure or a shape from one place to another. In translation a figure can move upward, downward, vertical and horizontal.

Some of the Translation are,

A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Rotation means the circular movement of an object around a centre. It is possible to rotate different shapes by an angle around the centre point.

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system.

Thus, the required sequences are The first pair is rotated and translated, the second pair is reflected and translated, and the third pair is reflected and translated.

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The complete question image is attached.

The maximum value of the function is 9, and the minimum value of the function is −9.

We have function is f(x,y)=x²−y² and constraint is x²+y²=9,

For getting the extreme values of the function subject to the given constraint using Lagrange multipliers

Firstly we will form the Lagrangian function L (x,y,λ) as follows:

L (x,y,λ)=f(x,y)+λ(g(x,y))

Where f(x,y) = x²−y²and g(x,y) =  x²+y² = 9

Thus, L (x,y,λ) =  x²−y² + λ(x²+y² = 9)

Now we have to find the partial derivatives of L (x,y,λ) with respect to x,y and λ and equate them to 0 for finding the critical points.

\(L_x= 2x+2 \lambda x = 0\) .......(1)

\(L_y= -2y+2 \lambda y = 0\) ........(2)

\(L_{\lambda}= x^2+y^2-9 = 0\) (3)

From the above equations (1) and (2),we get

2x+2λx = 0 ⇒ x(1+λ) = 0

Thus, x = 0 and λ = -1

Similarly, y = 0 and λ = 1

From equations (1) and (2), we have

2λx = -2x  ⇒ λ = -1

Therefore, x = 0 is not acceptable

From equations (1) and (2), we have

2λy = 2y ⇒ λ = 1

Therefore, y = 0 is not acceptable

Now using equation (3),we have

x²+y²-9 = 0

⇒ x²+0-9 = 0

⇒ x = ±3

Substituting x = 3 in equation (1), we get λ = -1

Hence, the first solution is (x,y) = (3,0)

Similarly, substituting x = -3 in equation (1), we get λ = -1

Hence, the second solution is (x,y) = (-3,0)

Now we will classify the obtained critical points as maxima or minima or saddle points

For finding the nature of critical points, we will form a Hessian matrix H of second partial derivatives of the Lagrangian function L at the critical point (x,y) as follows:

\($$ H = \left[\begin{array}{ccc} L_{xx}&L_{xy}\\L_{yx}&L_{yy}\\\end{array}\right] \\\)

On evaluating the Hessian matrix H at the critical point (x,y) = (3,0), we get the Hessian matrix as

\($$ H =\left[\begin{array}{ccc}4&0\\0&-2\\\end{array}\right]\)

Here, the determinant of the Hessian matrix,

\($$ D(H) = \left[\begin{array}{ccc} L_{xx}&L_{xy}\\L_{yx}&L_{yy}\\\end{array}\right] \\\)

= (4)(-2)-(0)(0)

= -8 < 0

Hence, Hessian matrix H is negative definite at the critical point (3,0)

Therefore, the function has a local maximum at (3,0)

On evaluating the Hessian matrix H at the critical point (x,y) = (-3,0), we get Hessian matrix as

\($$ H =\left[\begin{array}{ccc}4&0\\0&-2\\\end{array}\right]\)

Here, the determinant of the Hessian matrix,

\($$ D(H) = \left[\begin{array}{ccc} L_{xx}&L_{xy}\\L_{yx}&L_{yy}\\\end{array}\right] \\\)

= (4)(-2)-(0)(0)

= -8 < 0

Hence, Hessian matrix H is negative definite at the critical point (-3,0)Therefore, the function has a local maximum at (-3,0)Hence, the extreme values of the function are as follows:

The maximum value of the function f(x,y) = x² - y², subject to the given constraint x²+ y² = 9, is 9 at (3,0) and (-3,0)

Hence, the solution is -9.

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The correct options are:

Event A and Event B are mutually exclusive

Event B and Event C are mutually exclusive

Event A and Event C are not mutually exclusive.

The three events given are rolling an even number, rolling a 6, and rolling an odd number on a fair die.

Event A and Event B are mutually exclusive, meaning that they cannot occur at the same time.

This is because rolling a 6 is already an even number, so it cannot be an even number different from 6.

Event B and Event C are also mutually exclusive, since rolling a 6 is not an odd number.

Event A and Event C are not mutually exclusive, since rolling an even number does not necessarily mean rolling an odd number.

Thus, to understand the relationship between these events, it is important to consider the definition and properties of each event, and how they relate to each other.

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Event B and Event C are mutually exclusive because it's impossible to achieve both at the same time. Event A and Event B are not mutually exclusive because rolling a 6 satisfies both. Event A and Event C are mutually exclusive because an outcome can't be even and odd simultaneously.

In probability theory, two events are said to be mutually exclusive if the occurrence of one event precludes the occurrence of the other. Analyzing the given events:

Given these definitions, we can determine that:

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Answer:

It has a slope of 0

m-0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The square root of 0.000169 using division method is  0.0130.

Given, 0.000169To find the square root of 0.000169 using division method:

Step 1: Pair the digits starting from the decimal point. If the number of digits in the decimal part is odd, then pair the digit preceding the decimal point to the leftmost digit.0. 00 01 69

Step 2: Starting from the left, we will pair up the digits in the decimal portion by putting a bar over a pair of digits. We will also pair up the digits to the left of the decimal point, if any, in the same way.0. 0 0|01| 69

Step 3: We have to find a number such that when it is multiplied by itself then the product must be less than or equal to 1.69. Clearly, 1 × 1 = 1 is less than 1.69.0. 0 1|01| 69- 1 | -| ---------| -| ------|1 69|--------------|1 69

Step 4: Bring down the next two decimal places 00. Multiply the divisor by 20 and write it as the new dividend below the last dividend. Double the quotient digit, put it in the quotient and guess a digit to be put at the end of the divisor to make it a new divisor.

The divisor now becomes the sum of the previous divisor and the new digit.0. 00 01 |01| 69 - 1 | -| ---------| -| ------|1 69|--------------|1 69. . . 4 0 .4× 40=160 (the largest number whose product with the quotient is less than 169.)0.

00 014|01| 69- 1 | 0.4| ---------| -| ------| 1 09|--------------|1 69

Step 5: Repeat the process till the required number of decimal places is obtained. We require the square root correct to four decimal places.0. 0001 69| --------------|0.0130 2 5 0 1 4 1 0 0 0 0 0 0|---------------|130The square root of 0.000169 using division method is 0.0130 (correct to 4 decimal places).Therefore, the correct option is 0.0130.

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Answer:

60"

Step-by-step explanation:

Answer:

the answer is 48

Step-by-step explanation:

120-24=96. 96÷2= 48

Answer:

-175/31

Step-by-step explanation:

-301 = -3x = 7(4x – 18)

-301 = -3x = 28x - 126

-301 = 31x = -126

-175 = 31x

x = -175/31

Answer:

m is 1

Step-by-step explanation:

ez mathzzzzzzzzzzz

The probability of rolling a number 10 or less is 1, and the probability of rolling a number greater than 10 is 0.

The 10-sided die has 10 faces, each marked with a unique number from 1 to 10. When we talk about the probability of rolling a particular number, we're asking what the chances are of that number coming up when the die is rolled.

In this case, the question asks for the probability of rolling a number 10 or less, which means we're interested in the probability of rolling any number from 1 to 10. Since all the possible outcomes are numbers from 1 to 10, the probability of rolling a number 10 or less is certain, or 1.

This is because the sum of probabilities of all possible outcomes of an experiment is always 1.

Similarly, the probability of rolling a number greater than 10 is impossible, or 0. This is because there are no possible outcomes greater than 10 on the 10-sided die. In general, the probability of an event that cannot occur is always 0.

So, the probability of rolling a number 10 or less is 1, and the probability of rolling a number greater than 10 is 0.

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Answer:

Step-by-step explanation:

it is a

the fist box

Answer:

no,it's not a solution if you look closely its only on the part of the graph that's blue, for a point to be a solution it has to be in the area that is blue and shaded.

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

we're given that Angela formerly had 8 computer games.

★ She got 3 more video games on her birthday.

★ Then she gave away 4 video games.

_____________________________

_____________________________

\(\huge\red{ Solution -}\)

\(8 + 3 - 4 \\ \dashrightarrow \: 11 - 4 \\ \dashrightarrow \: 7\)

hope helpful :D

Therefore , the solution of the given problem of area comes out to be

AB/DC =5.

Area is the quantity that describes how much space .A surface or an object's shape occupy. Use a pencil to mark a square on the paper. Specifically, a 2-D figure. A shape's area on paper is referred to as its "Area" in this sentence. Imagine that your square is made out of more compact unit squares.

Here,

Since the heights of both trapezoids are equal, and the area of ABEF is twice the area of FECD,

=> AB+ EF/2 = 2(DC+EF /2)

=> AB + EF / 2= DC + EF,

=> AB + EF = 2DC + 2EF.

EF is exactly halfway between AB and DC, so EF =

AB + (AB+ DC)/2 = 2DC+ AB + DC, so

3/2 AB +  1/2DC = 3DC+AB,

and

=> 1/2AB =5/2DC

=> AB/DC =5

Therefore , the solution of the given problem of area comes out to be

AB/DC =5.

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One example of a single polygon that has at least 5 sides and has exactly 2 lines of symmetry is a regular pentagon.

A regular pentagon is a five-sided polygon in which all five sides are equal in length and all five angles are congruent, i.e., the same measure. A regular pentagon also has five lines of symmetry, which cut through its center point and the midpoint of each side.

However, we need a polygon with exactly 2 lines of symmetry. Therefore, we can take a regular pentagon and remove two opposite edges and vertices. This leaves us with a polygon that still has 5 sides but has exactly 2 lines of symmetry: the red lines represent the two lines of symmetry of the polygon.

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Answer:

In a pedigree chart, a filled-in symbol (usually a circle or square) typically indicates that the individual represented by that symbol has the trait or condition of interest. This trait or condition may be a genetic disorder or a physical characteristic that is being studied.

For example, in a pedigree for a genetic disorder such as Huntington's disease, a filled-in circle or square would indicate an affected individual who has inherited the disease-causing allele from one or both parents. In contrast, an unfilled symbol would indicate an individual who does not have the disease or does not carry the disease-causing allele.

Overall, the use of filled-in symbols in a pedigree chart helps to visually represent the inheritance pattern of a trait or condition within a family.

Answer:

Its D Dude!

Step-by-step explanation:

Answer:

y = - 72

Step-by-step explanation:

Given

\(\frac{y}{9}\) = - 8 ( multiply both sides by 9 to clear the fraction )

y = - 72

Answer:

y/9=-8

y=-8*[multiply]9

y=-72

answer is negative 72

Answer:

y=C-Ax÷B

Step-by-step explanation:

Ax+By=C

-Ax -Ax

By= C-Ax

—————

B

y=C-Ax

——–

B

Answer:

-1±√3,(1±4√2)/2, (2±3√2)/2,1±√3

Step-by-step explanation:

Simplify the roots, and simplify the fraction.

For example, for x=(-4±√48)/4, you can simplify √48 to be √16 * √3, which is just 4·√3 or 4√3. Now, the original fraction is (-4±4√3)/4, which can be simplified to -1±√3. Solve the other problems using the same method.

2. (1±4√2)/2

3.(2±3√2)/2

4. 1±√3

To determine the size of the weight matrix for the given convolutional neural network (CNN), we need to consider the number of units in the first layer and the dimensions of the input grayscale images.

In a CNN, the weight matrix is used to perform the convolution operation, which involves applying filters to the input images. Each unit in the first layer corresponds to a specific filter or kernel. The size of the weight matrix will depend on the number of units in the layer and the dimensions of the filters.Let's assume that the number of units in the first layer is N, and the input grayscale images have pixel dimensions MxM. In this case, the weight matrix will have dimensions N x (K x K), where K represents the kernel size. Each row of the weight matrix corresponds to the weights associated with a specific unit in the first layer.The number of columns in the weight matrix is determined by the kernel size, which is typically a square matrix.

The values in the weight matrix represent the learnable parameters of the CNN.  By adjusting the weights in the matrix, the CNN can learn to extract meaningful features from the input images and make accurate predictions. Overall, the size of the weight matrix for the given CNN is N x (K x K), where N is the number of units in the first layer, and K is the kernel size. The rows of the weight matrix correspond to the units in the first layer, and the columns represent the weights associated with each pixel in the kernel used for convolution.

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Given:

In a parallelogram \(PRTV, VQ\perp PR,VS\perp RT\).

To prove:

\(\dfrac{PQ}{ST}=\dfrac{PV}{VT}\)

Solution:

It is given that \(VQ\perp PR,VS\perp RT\), it means \(\angle PQV\) and \(\angle TSV\) are right angle triangles.

In triangle PQV and triangle TSV,

\(\angle PQV\cong \angle TSV\)         (Right angles)

\(\angle QPV\cong \angle STV\)         (Opposite angles of a parallelogram)

Two corresponding angles are congruent. So, by AA property of similarity, we get

\(\Delta PQV\sim \Delta TSV\)

We know that the corresponding parts of similar triangles are proportional. So,

\(\dfrac{PQ}{TS}=\dfrac{PV}{TV}\)

It can be rewritten as:

\(\dfrac{PQ}{ST}=\dfrac{PV}{VT}\)

Hence proved.

Answer:

A right 4 down 5

Step-by-step explanation:

counting the grid spaces from any point for example R and going to the point R' (R prime) will give you the translation

Answer:

idek not gonna lie

Step-by-step explanation:

Answer:

The first one is A) 4 The second on is D) 65

Step-by-step explanation:

You divide the first number by the second number eg. 12 divided by 3=4. so 4.

You repeat the process for the second one, which is 32.5 divided by 5=6.5 so then you multiply that times 100 so 65.

The ratio chosen to convert 880 yards to miles remember that there are 1,760 yards in one mile is 1760 yards/1 mile.

The mile is a British imperial unit that is often referred to as the international mile or the statute mile to distinguish it from other miles. While the yard is a measure of length in English. The first section of the issue in the supplied question states that we have 880 miles, and the ratio has to be established.

Then, using the 880 miles and the specified ratio, we can solve the issue. One must be very careful when dealing with the units, so it is to be made sure that the denominator of the ratio intended to convert the units is the unit needed to convert, which is the mile. Thus, The ratio chosen to convert 880 yards to miles remember that there are 1,760 yards in one mile is 1760 yards/1 mile.

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