PLEASE HELP FAST ILL GIVE BRAINLIST! Determine the slope of the linear relation
3x + 5y + 15 = 0

A 5/3
B 3/5
C - 3/5
D -5/3

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Answer:

\(\tt x= 62.5\)

Step-by-step explanation:

\(\tt x+5+x+7+(180-137)=180\)

\(\tt x= 62.5\)

~

Answer:

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

The perimeter is:

If the perimeter is less than 20, then the inequality is:

Answer:

x < 4

Step-by-step explanation:

The perimeter of a two-dimensional shape is the distance all the way around the outside.

Therefore, from inspection of the triangle:

⇒ Perimeter = 4 + 9 + x + 3

⇒ Perimeter = x + 16

If the perimeter is less than 20 meters then:

⇒ x + 16 < 20

Solve the inequality:

⇒ x + 16 - 16 < 20 - 16

⇒ x < 4

A point estimate is the value of a statistic that estimates the value of a parameter. Question 2 is false and question 3 is true.

Question 1: A point estimate is the value of a statistic that estimates the value of a parameter.A point estimate is a single number that is used to estimate the value of an unknown parameter of a population, such as a population mean or proportion

Question 2: False

Mu (μ) is not used to estimate X. Mu represents the population mean, while X represents the sample mean. The sample mean, X, is used as an estimate of the population mean, μ.

Question 3: True

Beta (β) is indeed used to estimate the population proportion (p) when conducting hypothesis testing on a sample. Beta represents the probability of making a Type II error, which occurs when we fail to reject a null hypothesis that is actually false. By calculating the probability of a Type II error, we indirectly estimate the population proportion, p, under certain conditions and assumptions.

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The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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Answer:

2.65

Step-by-step explanation:

21.20 ÷ 8 = 2.65

Answer:

x = 32/3

Step-by-step explanation:

Step 1: Write equation

x/6 = 16/9

Step 2: Solve for x

Answer:

-2

Step-by-step explanation:

As per the provided information in the given question, we have a linear equation. We have to find the value of x.

Basically, transposition method is used to solve a linear equation in one variable containing constants and variables. We just transpose the values from RHS to LHS by changing its arithmetic operators. In this way, we solve for the unknown value. During transposing the values, ( + ) changes to ( – ) and vice-versa ; ( × ) changes to ( ÷ ) and vice-versa.

Now, coming back to the question. We have,

\(\longmapsto \rm { 3x = \dfrac{x}{2}- 5} \\ \)

Taking the LCM in RHS and performing subtraction.

\(\longmapsto \rm { 3x = \dfrac{x - 10}{2}} \\ \)

Transposing 2 from RHS to LHS. Its arithmetic operator will get changed.

\(\longmapsto \rm { 3x \times 2 = x - 10} \\ \)

Performing multiplication in LHS.

\(\longmapsto \rm { 6x = x - 10} \\ \)

Transposing x from RHS to LHS. Its arithmetic operator will get changed.

\(\longmapsto \rm { 6x - x = - 10} \\ \)

Performing subtraction of the terms in LHS.

\(\longmapsto \rm { 5x = - 10} \\ \)

Transposing 5 from LHS to RHS. Its arithmetic operator will get changed.

\(\longmapsto \rm { x = \cancel{\dfrac{- 10}{5}}} \\ \)

Dividing –10 by 5.

\(\longmapsto \underline{\boxed{\bf { x = - 2}}} \; \bigstar \\ \)

Therefore, the value of x is –2.

a. The mean of the student ages is 21.25 years, and the standard deviation is 2.847 years.

b. Please refer to the accompanying boxplot and five-number summary for the student ages.

a. To compute the mean of the student ages, we add up all the values in the population and divide by the number of data points. In this case, the sum is 254 and there are 12 data points, so the mean is 254/12 = 21.25 years. The standard deviation is a measure of the dispersion or variability of the data. It is calculated using the formula sqrt((N-1)/N) * sd(x), where N is the sample size and sd(x) is the standard deviation calculated with N-1 degrees of freedom. For this population, the standard deviation is approximately 2.847 years.

b. A boxplot is a visual representation of the distribution of data. It provides information about the minimum value, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum value. The box represents the interquartile range (Q3 - Q1), and any outliers are displayed as individual data points.

The boxplot of the student ages is not shown here, but it should be created in RStudio and labeled appropriately. The five-number summary for the student ages includes the minimum value (18), Q1 (18), median (21.5), Q3 (23), and maximum value (26).

standard deviation, and boxplots in statistics.

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Answer: £516

Step-by-step explanation:

7.5 increase = 100 + 7.5 = 107.5

107.5/100 = 1.075 (multiplier)

480 x 1.075 = 516

The type of Balance Sheet Report showing information for today and a year ago is typically a C. Comparison.

A comparison balance sheet report compares the financial position of a company at two different points in time.

In this case, the current day and a year ago.

It presents the assets, liabilities, and equity of the company side by side, allowing for a comparison and analysis of the changes.

That have occurred over the specified period.

The other options mentioned are,

Balance Sheet A,

This is not a recognized classification for balance sheet reports.

Summary,

A summary balance sheet report provides a condensed overview of the financial position.

Usually presenting summarized categories of assets, liabilities, and equity.

It may not include specific details or comparisons with previous periods.

Detailed,

A detailed balance sheet report provides a comprehensive breakdown of all individual accounts.

Assets, liabilities, and equity, offering a more granular view of the financial position.

It may not necessarily include a comparison with a previous period.

Therefore, in the context of comparing the financial position for today and a year ago, the most suitable type of balance sheet report would be a C. Comparison.

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Answer:

Her first mistake was in Step 2. She added 0.2 to each term instead of multiplying by 0.2.

Step-by-step explanation:

CORRECT WAY:

0.2(4+1.4y - 2.1)

0.8 + 0.28y - 0.42

0.8 - 0.42 + 0.28y

0.38 + 0.28y

WHAT TAMARA DID:

0.2(4+1.4y - 2.1)

How she got 4.2: 0.2 + 4 = 4.2

How she got 1.6y: 0.2 + 1.4y = 1.6y

How she got -1.9: 0.2 + -2.1 = -1.9

WHAT SHE DID HERE IS WRONG. REMEMBER WHEN IT IS __( ______) IT MEANS THAT YOU NEED TO MULTIPLE NUMBER OUTSIDE THE PARATNESS TO EVERY NUMBER THAT IS INSIDE THE PARATNESS.

Answer:

12

Step-by-step explanation:

We rearranged the equation by moving the term containing h to one side. Then, we isolated h by dividing both sides of the equation by 2πr. The final solution is h = S / (2πr) - r₂ / πr.

To solve the formula S = 2πr₂ + 2πrh for the variable h, we need to isolate h on one side of the equation. Here's how we can do that:

Step 1: Start with the given equation: S = 2πr₂ + 2πrh.

Step 2: We want to isolate the term 2πrh, so let's subtract 2πr₂ from both sides of the equation:

S - 2πr₂ = 2πrh.

Step 3: To isolate h, we need to divide both sides of the equation by 2πr:

(S - 2πr₂) / (2πr) = h.

Step 4: Simplify the equation:

S / (2πr) - 2r₂ / (2πr) = h.

Step 5: Simplify further:

S / (2πr) - r₂ / πr = h.

Therefore, the formula S = 2πr₂ + 2πrh, when solved for the variable h, becomes:

h = S / (2πr) - r₂ / πr.

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The value of the expression 6x + 10 is 58/7.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

First, we can simplify the equation:

x/6 = x + 10/42

Multiplying both sides by 6 (the least common multiple of 6 and 42) gives:

x = 6x + 10/7

Subtracting 6x from both sides gives:

x - 6x = 10/7

Simplifying:

-5x = 10/7

Dividing both sides by -5:

x = -2/7

Now that we know the value of x, we can substitute it into the expression 6x + 10:

6x + 10 = 6(-2/7) + 10 = -12/7 + 70/7 = 58/7

Therefore, the value of the expression 6x + 10 is 58/7.

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The equation of tangent line to the curve y = ln(x^2 - 4x + 1) is y = 4x -16.

According to the given question.

We have a curve y = ln(x^2 - 4x + 1)

Let the equation of tangent line to the curve y = ln(x^2 - 4x + 1) be

y = mx + b

Where, m is the slope of the curve.

So, the slope of the curve m, y = ln(x^2 - 4x + 1) at x = 4 is given by

m = dy/dx

⇒ m = d(ln(x^2 - 4x + 1))/dx

\(\implies m = \frac{1}{(x^{2} -4x+1)}\frac{d}{dx}(x^{2} -4x+1)\)

\(\implies m = \frac{1}{(x^{2} -4x+1)} (2x -4)\)

\(\implies m = \frac{1}{(16-16+1)} (8-4)\)       (at x = 4)

⇒ m = 1(4)

⇒ m = 4

Substitute the value of m in y = mx + b

⇒ y = 4x + b

Since, the above tangent line is passing through (4, 0). So, the point (4, 0) must satisfy y = 4x + b.

⇒ 0 = 4(4) + b

⇒ b = -16

Therefore, the equation of tangent line to the curve y = ln(x^2 - 4x + 1) is given by

y = mx + b

⇒ y = 4x -16        (by substituting the vale of m and b in y = mx+b)

Hence, the equation of tangent line to the curve y = ln(x^2 - 4x + 1) is y = 4x -16.

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Answer:

y=-1/2m+4

Step-by-step explanation:

in photo :)

Answer:

45°

Step-by-step explanation:

Given:

To Find:

Concept used:

Using the above concept, we have

5x + 15 + 3x + 3x = 180

11x = 165

x = 165/11

x = 15

So, 3x = 3*15 = 45°

So, the measure of base angle is 45°

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:Base \:\: Angle=3x = 45° \)

____________________________________

\( \large \tt Solution \: : \)

Property of Triangle : sum of all interior angles of a triangle is 180°

\(\qquad \tt \rightarrow \: 5x + 15 + 3x + 3x = 180\)

\(\qquad \tt \rightarrow \: 5x + 3x + 3x + 15 = 180\)

\(\qquad \tt \rightarrow \: 11x = 180 - 15\)

\(\qquad \tt \rightarrow \:11 x = 165\)

\(\qquad \tt \rightarrow \: x = 165 \div 11\)

\(\qquad \tt \rightarrow \: x = 15\)

Value of x is 15°, base angle is 3x :

\(\qquad \tt \rightarrow \: base \: \: angle = 3x = 3 \times 15 = 45 \degree\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

____________

Step-by-step explanation:

So:

⅔ × π.r² = 2.π.r

3 = πr²/πr

3 = r

r = 3

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Answer:

a)1/12

b)3/4

c)5/12

d)2/3

Step-by-step explanation:

let chocolate bar be C

let fruit chew be F

let Pack of buble gum be =B

1let sour Candie be S

C=4

F=4

B=1 pack

S=3

T=4+4+1+3=12

a) 1/12

b)9/12=3/4

c)4/12+1/12=1/3+1/12=5/12

d)8/12=2/3

Answer:

x=-2

but it's sample space is 33 in the sequence

therefore

the p(a)=-2/33

Answer:

77 years old

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 is the GCF, because all 3 of those numbers can be divided by 5! Hope this helped!

From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5

For us to get the greatest common factor of 20, 30, and 55, we need to get their individual factor first as shown:

20 = 5 * 4

30 = 5 * 6

55 = 5 * 11

From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5

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Answer:

{ N+11 }x5

Step-by-step explanation: First you have to add <n> plus eleven. In order to get a sum, you must multiply by five.

The answer is D. No, because the sample sizes are not large enough to assume the distribution of the difference in sample means is normal.

In order to perform inference with a confidence interval for the difference in population means, certain conditions need to be met. One of the conditions is that the sample sizes should be sufficiently large.

For the distribution of the difference in sample means to be approximately normal, both sample sizes should ideally be large, typically with a guideline of at least 30 observations. In this case, the sample sizes are 35 for manager A and 40 for manager B, which are relatively small compared to the guideline.

Therefore, (D) the condition of having large enough sample sizes to assume a normal distribution for the difference in sample means is not met. As a result, the conditions for inference with a confidence interval for the difference in population means have not been met.

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Answer:

2

Step-by-step explanation:

The radius of the balloon is increasing at a rate of (5/8π)  when the diameter is 20 m.

Given is a spherical balloon is inflated at a rate of 50 m²/min.

The surface area of the spherical balloon will be -

S = 4πr²

Now, we can write -

dS/dt = d/dt(4πr²)

dS/dt = 4π x 2r x dr/dt

4π x 2r x dr/dt = 50

dr/dt = (50/8πr)

dr/dt = (100/8πd)

{dr/dt} (d = 20 m) = (5/8π)

Therefore, the radius of the balloon is increasing at a rate of (5/8π)  when the diameter is 20 m.

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Answer:

\(\dfrac{3}{10}\)

Step-by-step explanation:

Length of an arc\(=\dfrac{\theta}{2\pi}X 2\pi r=\theta r\)

If the central angle of the arc is \(\dfrac{3\pi}{5}\)

Length of an arc\(=\dfrac{3\pi r}{5}\)

Therefore:

Ratio of the length of the arc to the circumference

\(=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}\)

Therefore, the arc is \(\dfrac{3}{10}\) of the circumference is this arc.

Answer: 3 /10

Step-by-step explanation: Khan Academy

The final answer is: 6.09 meters.

The circumference of a circle is given by the formula C = 2πr, where C is the circumference, r is the radius of the circle, and π (pi) is a mathematical constant approximately equal to 3.14.

To find the radius of a circle given its circumference, you can use the formula: r = C / 2π

Plugging in the values given in the problem, we get: r = 38 meters / 2π

Then we will get r= 38/2(22/7)

Therefore, the radius of the circle is approximately 6.09 meters. Rounded to two decimal places, the radius is 6.09 meters.

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Answer:

x = -1/49

Step-by-step explanation: