NEED HELP ASAP pls help right now!!! Pleeeease

Answer:

see explanation

Step-by-step explanation:

786% = \(\frac{786}{100}\) = \(\frac{393}{50}\) = 7.86 ← as a decimal fraction

7.86 = 7 \(\frac{86}{100}\) = 7 \(\frac{43}{50}\) ← as a mixed number

Convert the scale to a ratios: 1:482. Determine the actual height of the train in millimeters by multiplying the model height by the scale factor: 102 x 483. Simplify the ratio: 1:2,3044. Convert millimeters to meters by dividing by 1,000: 102 ÷ 1,000 = 0.102 meters

Therefore, the actual height of the train is 0.102 meters.

Lin has a scale model of a modern train. The model is created at a scale of 1:48. The height of the model train is 102 millimeters. To find the actual height of the train in meters, we need to use the scale factor and convert the millimeters to meters.Steps to find the actual height of the train in meters:1. Convert the scale to a ratio: 1:482. Determine the actual height of the train in millimeters by multiplying the model height by the scale factor: 102 x 483. Simplify the ratio: 1:2,3044. Convert millimeters to meters by dividing by\(1,000: 102 ÷ 1,000 = 0.102\)meters

Therefore, the actual height of the train is 0.102 meters.

It is essential to use proper formatting and syntax while answering a question. HTML is a useful tool that helps in formatting the answer in a more organized way. Below is the formatted answer:Steps to find the actual height of the train in meters:1.

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Answer:

look at the picture i have sent

Answer:

min: -0.9375

max: -0.9193

Step-by-step explanation:

use the formula x= -b/2a to find the max and min

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

To evaluate the surface integral of a vector field F using Stokes's theorem, we need to find the curl of F and then evaluate the line integral of F around the boundary curve C. Let's go step by step:

Find the curl of F:

The vector field F is given as F(x, y, z) = e^(-i) + eyj + e^(5zk).

The curl of F is calculated as follows:

curl(F) = (∂Fₓ/∂y - ∂Fᵧ/∂x)i + (∂Fᵢ/∂x - ∂Fₓ/∂z)j + (∂Fₓ/∂z - ∂Fᵢ/∂y)k.

Let's calculate each component of the curl:

∂Fₓ/∂y = 0

∂Fᵧ/∂x = 0

∂Fᵢ/∂x = 0

∂Fₓ/∂z = 0

∂Fᵢ/∂y = 0

∂Fₓ/∂y = e^(-i) + eyj + e^(5zk)

Therefore, the curl of F is curl(F) = 0i + 0j + (e^(-i) + eyj + e^(5zk))k.

Find the boundary curve C:

The plane equation is given as 8x + y + 8z = 8. To find the boundary curve, we need to determine the intersection of this plane with the first octant. In the first octant, all coordinates are positive, so we can set x, y, and z to be greater than or equal to zero.

For x = 0, we have y + 8z = 8, which gives us the line y = 8 - 8z.

For z = 0, we have 8x + y = 8, which gives us the line y = 8 - 8x.

The boundary curve C is the intersection of these two lines in the first octant. It starts at (0, 8, 0), follows the line y = 8 - 8z, and ends at (1, 0, 0).

Evaluate the line integral of F around the boundary curve C:

The line integral is given by:

∮F · dr = ∫∫(curl(F) · n) dS,

where n is the unit normal vector to the surface S bounded by the curve C, and dS is the differential surface area element.

Since the curve C lies in the xy-plane, the normal vector n is simply k.

∮F · dr = ∫∫(curl(F) · k) dS.

The differential surface area element dS is simply dxdy.

∮F · dr = ∫∫(e^(-i) + eyj + e^(5zk)) · k dxdy.

To evaluate this integral, we integrate over the region bounded by the lines y = 8 - 8z and y = 8 - 8x, where x varies from 0 to 1 and y varies from 8 - 8x to 8 - 8z.

∮F · dr = ∫[0,1] ∫[8 - 8x, 8 - 8z] e^(5zk) dydx.

Evaluate the inner integral first:

∫[8 - 8x, 8 - 8z] e^(5zk) dy = e^(5zk) (8 - 8z - (8 - 8x)) = e^(5zk) (8x - 8z).

Now integrate with respect to x:

∮F · dr = ∫[0,1] e^(5zk) (8x - 8z) dx.

Integrating with respect to x:

∮F · dr = ∫[0,1] (8e^(5zk)x - 8e^(5zk)z) dx.

Evaluate the integral:

∮F · dr = [4e^(5zk)x^2 - 8e^(5zk)zx] evaluated from x = 0 to 1.

Substitute the limits:

∮F · dr = 4e^(5zk) - 8e^(5zk)z - 0 = 4e^(5zk) - 8e^(5zk)z.

Now we integrate this expression with respect to z:

∫[0,1] (4e^(5zk) - 8e^(5zk)z) dz.

Evaluating the integral with the limits:

∫[0,1] (4e^(5zk) - 8e^(5zk)z) dz = 4/5(e^5k - 1) - 8/5(e^5k - 1) = (4/5 - 8/5)(e^5k - 1) = -4/5(e^5k - 1).

Thus, the evaluated surface integral ∮F · dr = -4/5(e^5k - 1).

Please note that the result is in terms of k, which represents the z-component of the normal vector to the surface.

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The given statement exists true that the general least-squares problem exists if an is a m × n matrix and b is in r m.

The least squares method uses statistics to determine which set of data points fits a set of data points the best by minimizing the sum of the offsets or residuals of the data points from the plotted curve. To predict how dependent variables will behave, least squares regression is used.

The technique that we used to compute a least-squares solution of Ax = b is;

Compute the matrix A T A as well as the vector A T b .

Form the required augmented matrix for the given matrix equation A T Ax = A T b , and then row reduce.

This equation exists always consistent, and as such any solution K x will be a least-squares solution.

By definition, the least squares problem is to estimate xˆ such that |Axˆ − b| ≤ |Ax − b| for all x in IRⁿ.

This means that we are to find a vector x that creates Ax (which exists in the Col(A)) as close to b as possible.

The complete question is:

If a is an m × n matrix and b is in r m, the general least-squares problem is to find an x that makes ax as close as possible to b. true or false?

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Answer:

the answers below follow in the same order as the question

1/x^-2, x,x^4,x^9

Answer:

D) Rotation of 180 degrees about its center.

Step-by-step explanation:

because when you turn that shape in 180 degres is going to be in the same coordinates.

The Chinese Remainder Theorem (CRT) is a mathematical principle that dates back to ancient Chinese mathematics. Its origins can be traced to Sun Tzu's "The Art of War," written in the 5th century BC, where he discussed a problem related to the deployment of troops.

However, the earliest known reference to the theorem as we know it today comes from the Chinese mathematician Sun Zi in the 3rd century AD. The theorem was later rediscovered and popularized in Europe by the mathematician Gottfried Leibniz in the 17th century.

The CRT has many practical applications in number theory, cryptography, and computer science. For example, it can be used to solve systems of linear congruences, which arise in a variety of mathematical problems. It is also used in Chinese remainder coding, a method for efficient data transmission in computer networks. In cryptography, the theorem is used to construct public-key cryptosystems, such as the RSA algorithm. Additionally, the CRT is used in the design of error-correcting codes and in the solution of problems related to modular arithmetic.

Overall, the Chinese Remainder Theorem is an ancient yet still relevant mathematical concept that has found a wide range of applications in modern times. Its history spans millennia and multiple cultures, from ancient China to Europe and beyond.

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Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

Given:

For two events X and Y,

\(P(X)=\dfrac{2}{3}\)

\(P(Y)=\dfrac{2}{5}\)

\(P(X|Y)=\dfrac{1}{5}\)

To find:

The probabilities \(P(Y\cap X), P(Y)\cdot P(X)\).

Solution:

Using the conditional probability:

\(P(X|Y)=\dfrac{P(Y\cap X)}{P(Y)}\)

\(P(X|Y)\times P(Y)=P(Y\cap X)\)

Substituting the given values, we get

\(\dfrac{1}{5}\times \dfrac{2}{5}=P(Y\cap X)\)

\(\dfrac{2}{25}=P(Y\cap X)\)

And,

\(P(Y)\times P(X)=\dfrac{2}{5}\times \dfrac{2}{3}\)

\(P(Y)\times P(X)=\dfrac{4}{15}\)

Therefore, the required probabilities are \(P(Y\cap X)=\dfrac{2}{25}\) and \(P(Y)\times P(X)=\dfrac{4}{15}\).

Answer:

0.4 inches per hour

Step-by-step explanation:

2.5 hrs = 31.5 in

5 hrs = 32.5

that's 1 inch in 2.5 hours

or

1/2.5 = 0.4 inches per hour

Answer:

C

Step-by-step explanation:

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

~ an aesthetics lover

Answer:

C

Step-by-step explanation:

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = \(\frac{\sqrt{3} }{2}\) and sin30° = \(\frac{1}{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{x}{18}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2x = 18\(\sqrt{3}\) ( divide both sides by 2 )

x = 9\(\sqrt{3}\)

----------------------------------------------------------

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{y}{18}\) = \(\frac{1}{2}\) ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9\(\sqrt{3}\) and y = 9 → C

Answer:

Even number

Step-by-step explanation:

4 is a even number.

Answer:

(x/5)-6 and 3x(19)

Step-by-step explanation:

Answer:

I think the answer is B. f(x) = -1/3x - 4

Step-by-step explanation:

Use the given functions to set up and simplify  

4−16.

XF(x)=X

Fx

1 − 7 = −6

2 − 10 = −8

3 − 13 = −10

4 − 16 = −12

The population of the species in the habitat will drop below 30 in approximately 38.5 years.

To calculate this, we can use the exponential decay formula:

\(N(t) = N_0 * e^{-rt}\)

Where N(t) is the population at time t, N₀ is the initial population, r is the annual rate of decrease (as a decimal), and e is Euler's number (approximately 2.71828).

In this case, N₀ = 143, r = 0.04, and we want to find t when N(t) = 30. So we can solve for t as follows:

\(30 = 143 * e^{-0.04t}\)

\(ln(30/143) = -0.04t\)

\(t = -ln(30/143) / 0.04\)

t ≈ 38.5

Therefore, the population will drop below 30 in approximately 38.5 years. It's important to note that this is just an estimate based on the given rate of decrease, and external factors could affect the actual rate of decline. Additionally, conservation efforts could potentially slow or reverse the decline of the species.

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The inequality that can be used with the squeeze theorem to calculate the limit of f(x) is \(-x^{2} \leq x^{2} cos\frac{1}{x^{2} } \leq x^{2} or -x^{2} \leq f(x)\leq x^{2}\)

Squeeze Theorem,

If f(x)g(x)h(x) for all numbers and at some point x=k we get f(k)=h(k), then g(k) must also be equal to them, according to the squeeze (or sandwich) theorem. Theorem: By "squeezing" sin(x)/x between two better functions and using them to discover the limit at x=0, we can utilize them to obtain tricky limits like sin(x)/x at x=0.

The given function is \(f(x) = x^{2} cos(\frac{1}{x} )\)

The range of the cos function is from -1 and 1.

We have,

\(-1\leq cos\frac{1}{x^{2} } \leq 1\\\)

Multiplying the above inequality by x^2, we get :

\(-x^{2} \leq x^{2} cos\frac{1}{x^{2} } \leq x^{2}\)

The above equation can be rewritten as,

\(-x^{2} \leq f(x)\leq x^{2}\)

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Step-by-step explanation:

given,

point = ( -10, -8 ) and ( -8, -16 )

we know,

slope = y2 - y1 / x2 - x1

x1 , y1 = (-10 , -8 )

x2 , y2 = ( -8, -16 )

after inserting the values we got,

→ -16 - (-8 ) / -8 - (-10)

→ -8/2 → -4

therefore, slope of line is -4.

hope this answer helps you dear...take care and may this answer helps you dear!.

Answer:

$36.40

Step-by-step explanation:

.04x35

\(\underset{same~base \qquad }{e^{4x}=e^{x^2+3}}\implies 4x=x^2+3\implies 0=x^2-4x+3 \\\\\\ 0=(x -3)(x - 1)\implies x= \begin{cases} 3\\ 1 \end{cases}\)

Answer to all the parts are as x , x , 1/8 , 4 the inverse function can be calculated as.

What is inverse function?

An inverse function or an anti function is outlined as a function, which may reverse into another perform. In straightforward words, if any perform “f” takes x to y then, the inverse of “f” can take y to x. If the perform is denoted by ‘f’ or ‘F’, then the function is denoted by f⁻¹or F⁻¹.

Main body:

To determine the inverse of function f(x) , we normally change the the function in terms of other variable in this case y .

So first we need to switch x and y. and then solve for y.

Initial equation :

f(x) = \(\sqrt[3]{8x} -4\)

y =\(\sqrt[3]{8x} -4\)

y + 4= \(\sqrt[3]{8x}\)

\((y+4)^{3}\) = 8x

(1/8)*\((y+4)^{3}\) = x

hence the value for the inverse function is as follows.

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Answer:

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's evaluate :

Answer:

27, 36

Step-by-step explanation:

27 and 36 are divisible by

Hence, the multiple of 9 between 20 and 40 respectively is 27 and 36.

Multiple of 9 are: 9,18,27,36,45,54,63,72,81,90

From question find the multiple of 9 between 20 and 40 respectively

Since multiple of 9 should be greater than 20 and less than 40.

Hence, the multiple of 9 between 20 and 40 respectively is 27 and 36.

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The probability that both Rachel and Robert are in the picture is 3/16.

The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.

Given that

Rachel and Robert both begin at the same point

Rachel completes a lap every 90 seconds.

Robert completes a lap every 80 seconds.

The photographer captures 1/4th of the track, centered on the starting line.

As a result, the photo captures 1/8th of the track on either side of the starting line.

The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.

Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.

Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.

Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).

Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.

i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.

Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}

= {90/8}/60

= 3/16

Therefore the probability that both Rachel and Robert are in the picture is 3/16

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We will have the following:

We can see that the shape of the head can be subdivided in smaller shapes, that is:

Now, we calculate the 5 areas, that is:

Now, the total area is:

So, the total area is 108 mm^2-

A random sample of 30 employees of a local company has been taken to measure the systolic blood pressure (mm hg). using only the sample information, a 99% confidence interval estimate for the mean systolic blood pressure (mm hg) for all employees of the company is 113.206 to 126.794. The value of the sample standard deviation (mm Hg) is approximately 2.639.

To find the sample standard deviation (mm Hg), we need to use the given information. Here is the solution:

Given information:

Sample size, n = 30

Confidence interval = 99%

Confidence interval limits = 113.206 to 126.794

Formula to find standard deviation:

σ = (CI width) / (2 × Zα/2)

Whereσ = Sample standard deviation

CI = Confidence interval width

Zα/2 = Z-score for a given confidence interval

Let's calculate the confidence interval width:

CI width = Upper Limit - Lower Limit

CI width = 126.794 - 113.206

CI width = 13.588

To find the z-score for a 99% confidence interval, we can use a z-table or calculator.

The z-score for a 99% confidence interval is 2.576. So,

substituting the values in the formula, we get:

σ = 13.588 / (2 × 2.576)σ = 13.588 / 5.152σ ≈ 2.639 mm Hg

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Answer:

Step-by-step explanation:

Let number of games played = x

Cost = rent of shoes + x* cost per game

      y  = 5+ x*2

  y = 5 + 2x

When x = 1

y = 5 + 2 = 7

A(1,7)

When x = 2 ; y = 5 +2*2 = 5+4 = 9

B(2,9)

When x =3 ; y = 5 +2*3 = 5 +6 = 11

C(3,11)

When x = 4;  y = 5+2*4 = 5+8 = 13

D(4,13)

When x =5 ; y = 5+ 2*5 = 5 +10 = 15

E (5,15)

Answer: it B

Step-by-step explanation: if im wrong sorry wrong answer