Help help help help math math

Answer:

x = 20

y = 5

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary (add up to 180°).

So,

6x + 17 + 2x + 3 = 180

Combine like terms

6x + 2x + 17 + 3 = 180

8x + 20 = 180

Subtract 20 to both sides

8x = 180 - 20

8x = 160

Divide 8 to both sides

x = 160 / 8

x = 20

Now,

Opposite sides of parallelogram are equal.

So,

JK = ML

6y - 13 = 32 - 3y

Add 3y and 13 to both sides

6y + 3y = 32 + 13

9y = 45

Divide 9 to both sides

y = 45 / 9

y = 5

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

Step-by-step explanation:

Looks like we need to find the values of x and y.

Given is the parallelogram.

Properties we'll use:

Find the value of y:

Find the value of x:

If you need to find the side or angle measures just plug in the values of x or y.

The magnitude of the electric field at the point (-2, 2, 0) is 46.52 V/m

Since in a certain region of space, the potential is given by v = 2x − 5x²y 3yz²,

The electric field, E = -grad(V) where grad(V) = (dV/dx)i + (dV/dy)j + (dV/dz)k

Since V = 2x − 5x²y + 3yz²

dV/dx = d(2x − 5x²y + 3yz²)/dx

= d2x/dx - d5x²y/dx + d3yz²/dx

= 2 - 10xy + 0

= 2 - 10xy

dV/dy = d(2x − 5x²y + 3yz²)/dy

= d2x/dy - d5x²y/dy + d3yz²/dy

= 0 - 5x² + 3z²

=  - 5x² + 3z²

dV/dz = d(2x − 5x²y + 3yz²)/dz

= d2x/dz - d5x²y/dz + d3yz²/dz

= 0 - 0 + 6z

=  6z

So, E = -grad(V)

= -[(dV/dx)i + (dV/dy)j + (dV/dz)k]

= -[(2 - 10xy)i + (- 5x² + 3z²)j + (6z)k]

So, the electric field at (-2, 2, 0) is

E = -[(2 - 10xy)i + (- 5x² + 3z²)j + (6z)k]

E = -[(2 - 10(-2)(2))i + (- 5(2)² + 3(0)²)j + (6(0))k]

E = -[(2 + 40)i + (- 5(4) + 0)j + (0)k]

E = -[42i + (-20 + 0)j + (0)k]

E = -[42i - 20j + 0k]

E = -42i + 20j - 0k

So, the magnitude of E at (-2, 2, 0) is

|E| = √[(-42)² + 20² + 0²]

=  √[1764 + 400 + 0]

= √2164

= 46.52 V/m

So, the magnitude of the electric field at the point (-2, 2, 0) is 46.52 V/m

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Answer:

3\(\sqrt{5}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = \(\sqrt{(-1-5)^2+(1-4)^2}\)

   = \(\sqrt{(-6)^2+(-3)^2}\)

   = \(\sqrt{36+9}\)

   = \(\sqrt{45}\)

   = 3\(\sqrt{5}\) ← exact value

   ≈ 6.71 ( to 2 dec. places )

Thus, the value of the integral is \($\frac{273}{17}$.\)

Hence, the final answer is $\frac{273}{17}$

The given integral is:  \($0\int^{1}(x^{16}+16x)dx$\)

We know that, for evaluating the integral \($\int x^{n}dx$\), the formula is

\($\frac{x^{n+1}}{n+1}$,\) where\($n≠-1$\).The given integral can be written as:

\($0\int^{1}(x^{16}+16x)dx=0\int^{1}(x^{16})dx+0\int^{1}(16x)dx$\)

The integral of $x^{16}$ is given by:

\($\int x^{16}dx=\frac{x^{16+1}}{16+1}+C=\frac{x^{17}}{17}+C_1$\),

where \($C_1$\) is the constant of integration.

Using this, we have\($0\int^{1}(x^{16})dx=0\left[ \frac{x^{17}}{17}\right]_{0}^{1}=\frac{1}{17}$\)

Also, the integral of \($16x$\)is given by:

\($\int 16xdx=16\int xdx=16\left[\frac{x^{1}}{1}\right]+C=16x+C_2$\),

where \($C_2$\) is the constant of integration.

Using this, we have \($0\int^{1}(16x)dx=0\left[ 16x\right]_{0}^{1}=16$\)

Therefore, \($0\int^{1}(x^{16}+16x)dx=0\int^{1}(x^{16})dx+0\int^{1}(16x)dx=\frac{1}{17}+16=\frac{273}{17}$.\)

Thus, the value of the integral is \($\frac{273}{17}$\). Hence, the final answer is\($\frac{273}{17}$.\)

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Answer:

8

Step-by-step explanation:

25+ (4.5 x 8)

25+ 36

=61.

She needs 8 visits

Answer:

8

Step-by-step explanation:

61 - 25 = 36

36 divided by 4.5 = 8

To complete the square for the equation x2 - 16x + 60 = -12, add 64 to each side of the equation. This will give us x2 - 16x + 124 = 52.

Then, factor out the coefficient of x2 (1) and the coefficient of x (16). This will give us (x - 8)2 = 52. Finally, subtract 52 from both sides to get (x - 8)2 = 0. Solving for x yields x = 8.

Equations are mathematical statements that express the equality of two expressions. They involve one or more unknowns that are represented by variables and involve numbers, constants, and operators. An equation states that the expressions on either side of the equal sign have the same value.

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Answer:

f

(

2

)

=

6

Explanation:

To evaluate f(2), substitute x = 2 into f(x).

Step-by-step explanation:

Answer:

step 2 to step 3

Step-by-step explanation:

step 2

2x - 7 = 3 ( add 7 to both sides )

2x = 10 ( error was made here in that they had - 4 )

Answer:

s = 53.3

Step-by-step explanation:

The square shows that the angle is 90 degrees, and is a shared angle. Therefore, the angles together make 90.

So, to get the unknown angle, you subtract the other angle by 90.

36.7 - 36.7 = 53.3

Answer:

2., an irrational number

Step-by-step explanation:

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

  David saves the most (20%)

Step-by-step explanation:

The fraction Anna saves is given as 19%.

The fraction Laura saves is 1-(17/20) = 3/20 = 15/100 = 15%.

The fraction David saves is 2/(2+8) = 2/10 = 20/100 = 20%.

David saves the most of his salary each month.

Answer:

12

Step-by-step explanation:

2x - 6 = ?

x = 9

You substitute x for 9: the value of x.

2(9) - 6 = ?

2 * 9 = 18

18 - 6 = 12

So your answer is 12.

Hope it helps : )

Brainliest pleaseeee

The inverse function of f(x) = 2(3^x) is given as follows:

B. \(f^{-1}(x) = \log_3{\left(\frac{x}{2}\right)}\)

The function for this problem is defined as follows:

f(x) = 2(3^x).

Hence in the format y = f(x), we have that:

y = 2(3^x).

To obtain the inverse, the first step is exchanging the variables x and y, as follows:

x = 2(3^y).

Now the variable y must be isolated to obtain the inverse function, as follows:

3^y = (x/2)

The inverse function of the exponential function of base 3 is the logarithm of base 3, hence the we have that:

\(\log_3{3^y} = \log_3{\left(\frac{x}{2}\right)}\)

\(y = \log_3{\left(\frac{x}{2}\right)}\)

Meaning that the inverse function is given by option B for this problem.

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Answer:

it would be: A.

Step-by-step explanation:

Answer:

6(2-3x) > 12  2x-3 (-4+3x)<72

Step-by-step explanation:

6(2-3x) > 12

x < 0

2x-3 (-4+3x)<72

2x-3=

Answer:

1. X less than or equal to 0

2. I got some big decimal bc the end of the problem is 7/60 and that’s -0.116666667

Step-by-step explanation:

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6)

The equations are given as: y = 1.5x - 4 & y = -x

The system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables

Substitute y = -x in the first equation

-x = 1.5x - 4

Collect like terms

-1.5x - x = -4

Any set of values of x1, x2, x2,…xn which simultaneously satisfies the system of linear equations given above is called a solution of the system. If the system of equations has one or more solutions, the equations are called consistent. Also, if the system of equations does not admit any solution, then the equations are called inconsistent.

This gives

-2.5x = -4

Divide both sides by -2.5

x = 1.6

Substitute x = 1.6 in y = -x

y = -1.6

Hence, the solution to the system of equations is (1.6,-1.6).

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The difference between the amount in two cards of Sandra after 4 years will be $125.58 approx.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\)

For this case, Sandra has got 2 credit cards p and q. Calculating the final amount both card will have after 4 years:

Initial amount = p = $726.19

The rate of interest is r = 10.19% = 10.19/100 = 0.1019 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding semiannually, that means twice per year, thus, n = 2

Thus, the final amount in card p after 4 years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 726.19(1+0.1019/2)^{2 \times 4} \\\\a= 726.19 \times (1.05095)^8 \approx 1080.70\: \rm (in \: dollars)\)

Initial amount = p = $855.20

The rate of interest is r = 8.63% = 8.63/100 = 0.0863 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding monthly, that means twelve times per year, thus, n = 12

Thus, the final amount in card q after 4 years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 855.20(1+0.0863/12)^{12 \times 4} \\\\a= 855.20\times (1.0071916)^{48} \approx 1206.28\: \rm (in \: dollars)\)

Clearly card q has more amount than card p at the end of 4 years.

The difference is: 1206.28 - 1080.70 = 125.58 (in dollars)

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the solution to the given difference equation is y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)

To solve the given difference equation, we can use the Z-transform method. Let's denote the Z-transform of a function y(k) as Y(z), and the Z-transform of x(k) as X(z).

Applying the Z-transform to the given equation and using the properties of linearity, time shifting, and the Z-transform of the unit step function, we have:

z²Y(z) - zY(z) + 0.24Y(z) = (z + 1)X(z)

Next, we can rearrange the equation to solve for Y(z):

Y(z)(z² - z + 0.24) = (z + 1)X(z)

Dividing both sides by (z² - z + 0.24), we get:

Y(z) = (z + 1)X(z) / (z² - z + 0.24)

Now, we need to find the inverse Z-transform of Y(z) to obtain the time-domain solution y(k). To do this, we can use partial fraction decomposition and lookup tables to find the inverse Z-transform.

The denominator of Y(z), z² - z + 0.24, can be factored as (z - 0.2)(z - 1.2). We can then rewrite Y(z) as:

Y(z) = (z + 1)X(z) / [(z - 0.2)(z - 1.2)]

Now, we perform partial fraction decomposition to express Y(z) as:

Y(z) = A / (z - 0.2) + B / (z - 1.2)

To find the values of A and B, we can multiply both sides of the equation by the common denominator:

(z - 0.2)(z - 1.2)Y(z) = A(z - 1.2) + B(z - 0.2)

Expanding and equating coefficients, we have:

z²Y(z) - 1.4zY(z) + 0.24Y(z) = Az - 1.2A + Bz - 0.2B

Now, we can equate the coefficients of corresponding powers of z:

Coefficient of z²: 1 = A

Coefficient of z: -1.4 = A + B

Coefficient of z⁰ (constant term): 0.24 = -1.2A - 0.2B

Solving these equations, we find A = 1, B = -2.4.

Substituting these values back into the partial fraction decomposition equation, we have:

Y(z) = 1 / (z - 0.2) - 2.4 / (z - 1.2)

Now, we can use the inverse Z-transform lookup tables to find the inverse Z-transform of Y(z):

y(k) = Z⁻¹{Y(z)} = Z⁻¹{1 / (z - 0.2) - 2.4 / (z - 1.2)}

The inverse Z-transform of 1 / (z - 0.2) is given by the formula:

Z⁻¹{1 / (z - a)} = \(a^k\)

Using this formula, we get:

y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)

Therefore, the solution to the given difference equation is y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)

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Answer:

84

Step-by-step explanation:

there are 7 days in a week so u mutiply they 3 weeks by 7 and you get 21 mutiply that by the 4 hours that he played and your answers will be 84

Answer:

84 hours

Step-by-step explanation:

For a week Jamie spent a total of 28 hours (4 hours x 7 days). Since Jamie played for 3 weeks, all you need to do is multiply 28 times 3 = 84. ( 28 hours x 3 weeks)

For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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Holt linear exponential smoothing or  Holt-Winters exponential smoothing technique is best for data with a trend but no seasonality.

For trend but nonseasonal data, Holt linear exponential smoothing (aka double exponential smoothing) or Holt-Winters exponential smoothing (aka triple exponential smoothing) can be used to compare single exponential smoothing or Exponential smoothing is better than post-winter smoothing.

Holt's linear exponential smoothing method uses his two smoothing factors:

One for the level of the series and one for the trend. Suitable when data show a linear trend.

Holt-Winter exponential smoothing adds his third seasonal smoothing factor to Holt's linear exponential smoothing method. Appropriate when the data show trends over time and exhibit seasonal patterns. Therefore, Holt's linear exponential smoothing method is best when the data show a linear trend. Holt-Winters exponential smoothing is more appropriate when trends are more complex and there is evidence of seasonality.

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Answer:

1400, 1575

Step-by-step explanation:

Two number: 175x , 175y   (x and y no more common factor)

LCM: 175xy = 12600

xy = 72

72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor

Two number: 8*175 = 1400         9*175 = 1575

Answer:

20.40

Step-by-step explanation:

Divide 591 by 29 and you will get the answer 20.37. Then, round it up to 20.40.

Answer:

20-21

Step-by-step explanation:

I think this is what you mean by estimate... the true answer is 20.3793103 if that is what you are looking for

just think how many times can 30 go into 600 and go from there

On solving the provided question, we can say that - the probability they are a friend of the bride \(P(AUB)=n(AnB)/n(S)= 79/80= 0.9875\)

A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1.

Let the occasion (a bride's friend) =A

Let the occasion (a bridegroom's buddy) =B

\(n(A) =59\\n(B)=50\)

both the bride and groom's friends,

So,

\(n(AUB)=n(A)+n(B)-n(AnB)\\n(AUB)=59+50-30\\n(AUB)=79\)

There were 79 guests who were either friends of the bride or the groom.

Thus,

\(P(AUB)=n(AnB)/n(S)\\= 79/80\\= 0.9875\)

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Answer: \(\frac{3}{2}\)

Step-by-step explanation:

    The slope can be found with change in y over change in x. This can be solved for with the formula below. We will input the values and solve.

          \(\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{0--3}{0--2}=\frac{3}{2}\)

To fully define a vector quantity, you must specify Magnitude, Direction and Reference Point

1. Magnitude: The magnitude of a vector represents the size or length of the vector. It is typically denoted by a scalar value and can be expressed in appropriate units. For example, if you're describing a velocity vector, the magnitude might be 10 meters per second.

2. Direction: The direction of a vector indicates the orientation or angle at which the vector is pointed. It can be specified using various methods, such as angles measured relative to a reference axis or using directional descriptors like north, south, east, or west. For example, a velocity vector might be pointing at an angle of 30 degrees east of north.

3. Reference Point or Origin: A vector is typically defined with respect to a reference point or origin. This point serves as a starting point for measuring the vector's position or displacement. It helps establish a frame of reference for interpreting the vector's direction and magnitude. For example, if you're describing a displacement vector, you would need to specify the reference point from which the displacement is measured.

By specifying these three components—magnitude, direction, and reference point—you can fully define a vector quantity and convey all the necessary information about its properties and characteristics.

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