What role does air pressure play in weather conditions?

Answer:

10 + (8 - 4)2÷2

10 + (4)2 ÷2

10 + 8 ÷ 2

10 + 4

= 14

Answer:

B D E

Step-by-step explanation:

Step-by-step explanation:

56 cuz it divides by both 7 and 8

The value of the expression is 17/8.

Given is an expression, 7/8 - (-2+3/4) = ( ____+____) + 7/8, we need to solve it,

7/8-(-2+3/4)

= 7/8-(-8+3)/4

= 7/8 + 5/4

= 7+10 /8

= 17/8

Hence, the value of the expression is 17/8.

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Answer:

D)  y = -2x - 6

Step-by-step explanation:

Given:

\(\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0--12}{-3-3}=-2}\)

Using the point-slope form of a linear equation: \(\mathsf{y-y_1=m(x-x_1)}\)

\(\implies \mathsf{y-(-12)=-2(x-3)}\)

\(\implies \mathsf{y=-2x-6}\)

Answer:

option 4

Step-by-step explanation:

Given Equation :-

=> -4| x + 9 | = -8

To FinD :-

=> Solution of the equation .

Solving it :-

=> -4| x + 9 | = -8

=> | x + 9 | = -8/-4

=> |x + 9| = 2

=> ( | x + 9 | )² = 2²

=> x + 9 = ±2

=> x = -9 +2 , -9-2

=> x = - 7 , -11

Option 4 is correct.

Answer:

x = - 7 , - 11

Step-by-step explanation:

\(-4 | x +9| = - 8\\\\\frac{-4}{-4} |x+9| = \frac{-8}{-4}\\\\1 | x+9| = 2\\\\x+9 = - 2\ , x + 9 = 2\\\\x + 9 - 9 = - 2 - 9 , \ x + 9 - 9 = 2 - 9\\\\x + 0 = - 1 1 \ , \ x + 0 = - 7\\\\x = -11 \ , \ x = - 7\)

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                                           = \(\frac{1}{2}(16)(4)\)

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:

Step-by-step explanation:

Let Colin - x, Dan - y, David - z.

We have:

Substitute and solve for z:

Now find x and y:

Answer:

£12

Step-by-step explanation:

Let the David's money be x

If David gets = x

Dan will get = 3x

Colin gets = 3x x 2

= 6x

So, the total money can be write as

\(x + 3x + 6x = 10x\)

So, now let's find the amount of money which David have

\(10x = 20 \\ \frac{10x}{10} = \frac{20}{10} \\ x = 2\)

So, David will get £2

And now let's find the amount of money which Colin will get

\(6x = 6 \times 2 \\ = 12\)

He will get £12

Hope this helps you.

Let me know if you have any other questions :-):-)

It is correct to say that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment.

Any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. What is a perpendicular bisector? A perpendicular bisector is a line that intersects a line segment and forms a 90-degree angle. It divides the line segment into two equal halves.Each point on the perpendicular bisector of a line segment is equidistant from the endpoints of the segment. This means that the distance from any point on the line to one endpoint of the segment is the same as the distance to the other endpoint of the segment.

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True, Most trigonometric equations have unique solutions.

   Most trigonometric equations have unique solutions . Trigonometric equations often have multiple solutions due to the periodic nature of trigonometric functions such as sine, cosine, and tangent. When solving trigonometric equations, you need to consider all possible solutions within the given interval, typically by applying general solutions or analyzing the periodicity of the function involved.

                                    However, there are some cases where there may be multiple solutions or no solution at all. It is important to consider the domain and range of the trigonometric functions when solving these equations in detail.     Most trigonometric equations have unique solutions . Trigonometric equations often have multiple solutions due to the periodic nature of trigonometric functions such as sine, cosine, and tangent.

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Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

The probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The information provided is:

n = 596

p = 0.09

The mean and standard deviation are:

Compute the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% as follows                      

Hence, the probability that the sample proportion of airborne viruses in differ from the population proportion by greater than 3% is 0.006.

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The interest payable for $3,750 represents the cost of borrowing that amount of money. the interest payable for $3,750 represents the amount of interest that needs to be paid on the loan or debt of that amount.

It is the cost of borrowing the money and is calculated based on the interest rate and the period for which the loan is taken.
When you borrow money, whether it's from a bank, a credit card company, or any other lender, you are usually required to pay interest on the borrowed amount. Interest is the fee charged for the use of borrowed funds. In this case, the interest payable for $3,750 refers to the total amount of interest that is owed on a debt of that specific amount.
The calculation of interest payable depends on various factors, including the interest rate and the duration of the loan. The interest rate is typically expressed as an annual percentage, and it represents the cost of borrowing over a year. However, the interest payable may be calculated based on different compounding periods, such as monthly, quarterly, or annually.
To determine the exact amount of interest payable, you need to multiply the borrowed amount ($3,750) by the interest rate and the duration of the loan. For example, if the interest rate is 5% per year and the loan duration is one year, the interest payable would be $3,750 multiplied by 5%, which equals $187.50.
It's important to note that the interest payable may vary depending on the terms of the loan or debt agreement. Different lenders may have different interest rates and repayment schedules, so it's crucial to review the specific terms and conditions to accurately determine the interest payable for a given amount.

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T he joint moment generating function of x and y is M(t1, t2) = (1/36)Σx=1^6Σz=1^6 e^(t1x + t2z)

Let X be the value of the first die, which takes on values {1, 2, 3, 4, 5, 6} with equal probability of 1/6 each. Let Y be the sum of the values of two dice, so Y takes on values {2, 3, ..., 12}.

The joint moment generating function of X and Y is given by:

M(t1, t2) = E[e^(t1X + t2Y)]

To compute this, we can use the law of total probability and conditioning on the value of X:

M(t1, t2) = E[e^(t1X + t2Y)]

= Σx P(X=x) E[e^(t1X + t2Y) | X=x]

= (1/6)Σx=1^6 E[e^(t1x + t2Y) | X=x]

Now we need to compute E[e^(t1x + t2Y) | X=x]. We can use the fact that the sum of two dice is the sum of two independent uniform random variables on {1, 2, 3, 4, 5, 6}:

E[e^(t1x + t2Y) | X=x] = E[e^(t1x + t2(x+Z))]

= E[e^(tx) e^(t2Z)]

= MZ(t2) e^(tx)

where Z is a uniform random variable on {1, 2, 3, 4, 5, 6} and MZ(t2) is its moment generating function, which is:

MZ(t2) = E[e^(t2Z)]

= (1/6)Σz=1^6 e^(t2z)

Substituting this back into the expression for M(t1, t2), we get:

M(t1, t2) = (1/6)Σx=1^6 E[e^(t1x + t2Y) | X=x]

= (1/6)Σx=1^6 MZ(t2) e^(tx)

= (1/6)Σx=1^6 [(1/6)Σz=1^6 e^(t2z)] e^(tx)

Simplifying the expression, we get:

M(t1, t2) = (1/36)Σx=1^6Σz=1^6 e^(t1x + t2z)

This is the joint moment generating function of X and Y.

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Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  2

Answer:

x=2

Step-by-step explanation:

7/8(-32)-7/8(48x)+36=2/3(-33x)-2/3(18)-10x  

= -224/8-336x/8+36

=-66x/3-36/3-10x.  

Simplifying the fractions

-28-42x+36=-22x-12-10x.  

Combining like terms

-42x+8=-32x-12.  

Add 32x to both sides:  

-42x+8+32x=-32x-12+32x

-10x+8=-12.  

Subtract 8 from both sides:  

-10x+8-8=-12-8

-10x=-20.  

Divide both sides by -10:  

-10x/-10 = -20/-10

x=2.

The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

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Answer:

$28125000.00

Step-by-step explanation:

Answer:

2 ≤ x ≤ 3 where x represents the number of hours walking

Step-by-step explanation:

The distance to walk in miles can be modeled as the following inequality

Let x represent the number of hours Blake will be walking.

To cover 10 mi at 5 mph, Blake will take 10/5 = 2 hours
To cover 15 mi at 5 mph, Blake will take 15 /5 = 3 hours

The actual number of hours walked must lie within these limits

So

2 ≤ x ≤ 3 where x represents the number of hours walking

The function of "if ‴−6″ 8′=15" is f(x) = c1 + c2e^(2x) + c3e^(4x).

To find the function of "if ‴−6″ 8′=15," we need to first understand what the notation means.

The triple prime symbol (‴) indicates the third derivative of a function, while the double prime (″) indicates the second derivative and the prime (') indicates the first derivative.

So, we can rewrite the equation as follows: f‴(x) - 6f″(x) + 8f'(x) = 15

Now, we can use techniques from differential equations to solve for f(x).

First, we can find the characteristic equation:

r^3 - 6r^2 + 8r = 0

Factorizing out an r, we get: r(r^2 - 6r + 8) = 0

Solving for the roots, we get: r = 0, r = 2, r = 4

Therefore, the general solution to the differential equation is:

f(x) = c1 + c2e^(2x) + c3e^(4x)

where c1, c2, and c3 are constants determined by initial or boundary conditions.

In summary, the function of "if ‴−6″ 8′=15" is f(x) = c1 + c2e^(2x) + c3e^(4x).

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Given:

Required:

We need to find the percentage of the time will the police take 4 minutes or less to arrive.

Explanation:

Consider the z-score formula.

P-value from Z-Table

Multiply by 100 to find the percentage.

Final answer:

27 % of the time will the police take 4 minutes or less to arrive.

Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

The statement is true.

Given,

In the question:

Because working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

Let's know:

An accountant is an expert who handles bookkeeping and types out the monetary files you need to run your business—like profit and loss statements, balance sheets, and extra. They audit your books, put together reviews for tax functions, and simplify all the monetary mumbo jumbo that incorporates going for walks an enterprise.

Answer in true and false.

Now, According to the question:

The above statement is true.

Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.

Hence, The statement is true.

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Vector \(u = \left[\begin{array}{c}-1\\-9\end{array}\right]\) and Vector  \(v = \left[\begin{array}{c}2\\3\end{array}\right]\) such that u + v is not in W.

Consider a vector:   \(W = \left[\begin{array}{c}x\\y\end{array}\right]\)  : XY ≥ 0.

if  \(Z = \left[\begin{array}{c}x\\y\end{array}\right]\) is in W then the vector c.Z = \(c \left[\begin{array}{c}x\\y\end{array}\right]\) = \(\left[\begin{array}{c}cx\\cy\end{array}\right]\) is in W.

therefore, xy ≥ 0. ( cx ) . ( cy ) = c² . (xy) ≥ 0.

Note: We can only take 'u' and 'v' as [2 x 1] Matrix because 'u' and 'v' lies in W and W is [2 x 1] Matrix.

Take \(u = \left[\begin{array}{c}-1\\-9\end{array}\right]\) then -1 x -9 = 9 ≥ 0 then vector 'u' lies in W.

also, \(v = \left[\begin{array}{c}2\\3\end{array}\right]\) then 2 x 3 = 6 ≥ 0 then vector 'v' lies in W.

Now, u + v \(= \left[\begin{array}{c}-1\\-9\end{array}\right] + \left[\begin{array}{c}2\\3\end{array}\right] = \left[\begin{array}{c}1\\-6\end{array}\right]\) here 1 x (-6) is not ≥ 0.

therefore, u + v is not in W.

Hence, Vectors  \(u = \left[\begin{array}{c}-1\\-9\end{array}\right] v = \left[\begin{array}{c}2\\3\end{array}\right]\) such that u + v is not in W.

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Disclaimer: The question given was incomplete on the portal. Here is the complete question.

Question: Let W be the union of the first and third quadrants in the XY

plane. That is, Let   \(W = \left[\begin{array}{c}x\\y\end{array}\right]\) : XY ≥ 0.

Find specific vectors u and v in W such that u + v is not in W. This is enough to show that W is not a vector space. Also read the question from the attached image.

Answer:

uhm, i'm pretty sure it would be 1,128 because between each term is 13 units, and the first three terms are given. and 89-3 is 86. and 86*13=1,118. since the last term was 10, you need to add 10 to that, making your answer 1,128

Answer:

300 new employees

Step-by-step explanation:

1:3

x + 3x = 1,200

4x = 1200

x = 300

Answer: 2+2=4 lol

Step-by-step explanation:

1+1=2

2+2=4

Answer:

4

Step-by-step explanation:

put up 2 fingers then put 2 more up then count you should have 4 fingers up

The polar equation equivalent to the Cartesian equation x = -4 is r*cos(θ) = -4.

To rewrite the Cartesian equation x = -4 as a polar equation, follow these steps:

1. Recall the conversion formulas for Cartesian coordinates (x, y) to polar coordinates (r, θ): x = r*cos(θ) and y = r*sin(θ).
2. Replace x in the given Cartesian equation with the corresponding polar coordinate formula: -4 = r*cos(θ).

The polar equation equivalent to the Cartesian equation x = -4 is r*cos(θ) = -4.

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To prove that 3x ≤ y, assume the opposite, that is, 3x > y, rearrange the inequality substitute x < 2y and simplify, contradict the given condition that x < 2y, therefore, concluding that 3x ≤ y.

Start by assuming the opposite, that is, 3x > y.

From the given inequality,\(7xy \leq 3x^2 + 2y^2,\), we can rearrange to get:
\(7xy - 3x^2 \leq 2y^2\)

We can substitute \(x < 2y\) into this inequality:
\(7(2y)x - 3(2y)^2 \leq 2y^2\)

Simplifying, we get:
\(y(14x - 12y) \leq 0\)

Since y is a real number, this means that either y ≤ 0 or 14x - 12y ≤ 0.

If y ≤ 0, then 3x ≤ y is trivially true.

If 14x - 12y ≤ 0, then we can rearrange to get:
3x ≤ (12/14)y
3x ≤ (6/7)y
3x < y (since we assumed 3x > y)

But this contradicts the given condition that x < 2y, so our assumption that 3x > y must be false.

Therefore, we can conclude that 3x ≤ y.

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Answer:

9h

Step-by-step explanation:

Given data

Sofia earns $9 per hour mowing lawns

Let the total amount earned be t

and let the time worked be h

Hence

t= 9*h

t= 9h

The expression is 9h

Answer:  The difference in temperature is 45.9F.

i think the answer is 3/10