How many ways are arrange the letters in UNIVERSALLY so that no two vowels occur consecutively and also the consonants appear in alphabetical order

The value of 5u * v is 5.

Given vectors: u = (-5, -8) and v = (3, -2).
5u = 5(-5, -8) = (-25, -40)
Now, we will find the dot product of 5u and v:
5u . v = (-25, -40) . (3, -2)
Multiplying the corresponding components and adding, we get:
5u . v = (-25 × 3) + (-40 × -2)5u . v = -75 + 80
Therefore,5u . v = 5
Answer: The value of 5u * v is 5.

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John Barker's repair shop in Ontario is required to calculate the HST payable or refund for the first reporting period. The HST rate is 13% and the amount before HST sales is $150,000. The total HST collected from sales is $19,500 and the total ITCs are $19,790. The net HST payable/refund is $19,500 - $19,790 and the correct option is d) A refund of $5,980.

Given the following information for John Barker's repair shop in Ontario, we are required to calculate the HST payable or refund for the first reporting period. The HST rate for Ontario is 13%.Amount Before HST Sales $150,000 Equipment purchased $96,000 Supplies purchased $83,000 Wages paid $19,000 Rent paid $17,000Let's calculate the total HST collected from sales:

Total HST collected from Sales= HST Rate x Amount before HST Sales

Total HST collected from Sales= 13% x $150,000

Total HST collected from Sales= $19,500

Let's calculate the total ITCs for John Barker's repair shop:Input tax credits (ITCs) are the HST that a business pays on purchases made for the business. ITCs reduce the amount of HST payable. ITCs = (HST paid on eligible business purchases) - (HST paid on non-eligible business purchases)For John Barker's repair shop, all purchases are for business purposes. Hence, the ITCs are the total HST paid on purchases.

Total HST paid on purchases= HST rate x (equipment purchased + supplies purchased)

Total HST paid on purchases= 13% x ($96,000 + $83,000)

Total HST paid on purchases= $19,790

Let's calculate the net HST payable or refund:

Net HST payable/refund = Total HST collected from sales - Total ITCs

Net HST payable/refund = $19,500 - $19,790Net HST payable/refund

= -$290 Since the Net HST payable/refund is negative,

it implies that John Barker's repair shop is eligible for an HST refund. Hence, the correct option is d) A refund of $5,980.

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The probability of a late departure or an early arrival P(late departure or early arrival) = 0.12 + 0.27 – 0.04

The probability is defined as the chances of occurence of any event from the sample.

Given: The probability of a late departure is 12 %t, the probability of early arrival is 27%.

i.e. P(late departure)=0.12

P(an early arrival)=0.27

The probability of both a late departure and an early arrival is 4 percent.

P(late departure and early arrival) =0.04

Now, using the formula the probability of the union of two dependent events A and B:-

\(\rm P(AUB)=P(A)+P(B)-P(A \cap B)\)

i.e. P(late departure or early arrival) = P(late departure)+P(an early arrival)-P(late departure and early arrival)

=0.12+0.27-0.0.04

Hence, the required equation : P(late departure or early arrival) = 0.12 + 0.27 – 0.04

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The equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

Probability of late departure P(L) = 0.12

Probability of early arrival P(E) = 0.27

Probability of both a late departure and an early arrival P(L∩E)= 0.04

Probability is the measurement of the likelihood of an event.

P(L∪E)=P(L)+P(E)- P(L∩E)

Where P(L∪E) is the probability of a late departure or an early arrival.

So, P(L∪E)=0.12+0.27-0.04

Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

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Answer:

for ponits

Step-by-step explanation:

Given

Initial Temprature(At time = 0 minutes) = 40 degree Fahrenheit

Temprature after 8 minutes of heating = 80 degree Farenheit

Find

A function to determine temprature after t time

Explanation

Rate of change of temprature = (80 - 40)/(8-0)

= (40)/8 = 5

Thus the required expression = 5m + 40

Final Answer

T = 5m+40

The values of y that satisfy the given equation are \(\(\frac{12}{5}\)\)and \(\(-\frac{24}{5}\).\) is the answer.

The absolute value of (6 + 5y) is equal to 18. This can be expressed as follows:\($$|6+5y|=18$$\)

We can solve the equation by splitting it into two separate equations: \($$6+5y=18$$$$\text{or}$$$$6+5y=-18$$\)

By solving the first equation:

\($$6+5y=18$$$$\Rightarrow 5y=18-6$$$$\Rightarrow 5y=12$$$$\Rightarrow y=\frac{12}{5}$$\)

Thus, one value of y that satisfies the given equation is 12/5.

Now, let's solve the second equation:

\($$6+5y=-18$$$$\Rightarrow 5y=-18-6$$$$\Rightarrow 5y=-24$$$$\Rightarrow y=-\frac{24}{5}$$\)

Hence, the values of y that satisfy the given equation are \(\(\frac{12}{5}\)\)and

\(\(-\frac{24}{5}\).\)

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Answer:

Cancel out C and E

Step-by-step explanation:

What makes a 90-degree angle and that is your answer ('-')

For the sample given if the confidence level for both surveys is 95% (z*-value 1.96), then the statement that is true is -

Option A: The margin of error for the Camp Verde survey is larger than the margin of error for the Gilbert survey.

What is a sample?

A sample is characterised as a more manageable and compact version of a bigger group. A smaller population that possesses the traits of a bigger group. When the population size is too big to include all participants or observations in the test, a sample is utilised in statistical analysis.

Since we know the sample size, the sample proportion, and the desired confidence level, we can calculate the margin of error for each survey.

For the Gilbert survey -

Margin of error = z*(√(p*(1-p)/n))

where -

z* is the z-value corresponding to the desired confidence level (1.96 for 95% confidence)

p is the sample proportion (0.15)

n is the sample size (300)

Plugging in the values, we get -

Margin of error = 1.96 × √(0.15 * 0.85 / 300) ≈ 0.034

So we can say with 95% confidence that the true proportion of Gilbert residents who want Arizona to start using daylight savings is between 0.15 - 0.034 = 0.116 and 0.15 + 0.034 = 0.184.

For the Camp Verde survey -

Margin of error = z*(√(p*(1-p)/n))

where -

z* is the z-value corresponding to the desired confidence level (1.96 for 95% confidence)

p is the sample proportion (0.15)

n is the sample size (100)

Plugging in the values, we get -

Margin of error = 1.96 × √(0.15 * 0.85 / 100) ≈ 0.07

So we can say with 95% confidence that the true proportion of Camp Verde residents who want Arizona to start using daylight savings is between 0.15 - 0.07 = 0.08 and 0.15 + 0.07 = 0.22.

Therefore, the correct statement is -

Option A: The margin of error for the Camp Verde survey is larger than the margin of error for the Gilbert survey.

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Answer:

y - 5 = 3(x - 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = 3 and (6, 5 ) a point on the line , then

y - 5 = 3(x - 6) ← equation of line

Answer:

40%

Step-by-step explanation:

it's easiest to get a percentage from 100, multiplying 25 by 4 gives you 100 so if you do that then multiply 10 by four to make the equation even that will give you the answer

Answer:

X = 35/8

Y = -5

Answer: 10 pans

Step-by-step explanation:

Step 1:

If the number of biscuits needed= 80

Step 2:

And the number of biscuits on each pan= 8

Step 3:

Then the number of pans needed= 80 ÷ 8

Answer: 80 ÷ 8 = 10pans

Answer:

Rational numbers can be shown in the form of p/q.

The sum of two rational numbers is always rational.

The sum of two irrational numbers is always irrational.

This question is incomplete or incorrect.

None of the choices is equivalent.

Answer:

1.

1632 can be written as 1632/1. Rational

0.25 can be written as 25/100. Rational

0.0300300030... cannot be written as fraction. Irrational

0 is also irrational

2. Sum of two rational number = rational number

Sum of two irrational number = Rational or irrational number

3. Incomplete

Answer:

BE=19 AD=29

Step-by-step explanation:

Answer: PQ=15

Step-by-step explanation:

XY=(PQ+SR)/2

PQ+SR=2*XY

PQ+35=2*25

PQ+35=50

PQ=15

Answer:

Linear relationship

Step-by-step explanation:

Hope it helps :)

Answer:

40° or 100°.

Step-by-step explanation:

If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.

angle ABC measures 100 degrees.

To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.

In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.

Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.

Therefore, we can calculate angle ABC as follows:

m ∠ ABC = m ∠ ABD + m ∠ CBD

m ∠ ABC = 70° + 30°

m ∠ ABC = 100 degrees

Thus, angle ABC measures 100 degrees.

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Answer:

5.76106287

Step-by-step explanation:

Answer: 5.76106287488

Step-by-step explanation:

The area of the part of the plane z = ax + by + c that projects onto a region in the xy-plane with area A is \(\sqrt{1+a^2+b^2} A\).

The formula for calculating the surface area of the required part of the plane when projected onto a region in the xy-plane is

\(\int\int_D\sqrt{1+(\frac{\partial z}{\partial y})^2+(\frac{\partial z}{\partial x})^2 } dA\)

Where D is the projection of the surface on the xy-plane with area A.

The given plane is z = ax + by + c

Calculating the partial differentiation of z w.r.t x and y:

\(\frac{\partial z}{\partial x}=\frac{\partial}{\partial x}(ax + by + c)\)

    = a

Similarly,

\(\frac{\partial z}{\partial y}=\frac{\partial}{\partial y}(ax + by + c)\)

    = b

Then, calculating the surface area,

A(S) = \(\int\int_D\sqrt{1+(\frac{\partial z}{\partial y})^2+(\frac{\partial z}{\partial x})^2 } dA\)

       = \(\int\int_D\sqrt{1+(b)^2+(a)^2 } dA\)

       = \(\sqrt{1+a^2+b^2}\int\int_DdA\)

Since the area of the xy-plane is A, the integration over dA becomes A.

Thus,

Surface area = \(\sqrt{1+a^2+b^2}A\)

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Using cosine rule, the angle A In the triangle is

The angle is solved using cosine rule by the formula

cos A = (b² + c² - a²) ÷ 2bc

substituting the values

cos A = (30² + 71² - 89²) ÷ 2 x 30 x 71

cos A = -33/71

Taking the cos inverse

A = arc cos (-33 / 71 )

A = 117.697 degrees

A = 118 degrees to the nearest degree

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Answer:

-8p -2

Step-by-step explanation:

(-7p + 10) - (p + 12) =

-7p + 10 - p - 12 =

-8p -2

Answer:

that i would have to go with the 1st or 3rd lne

Answer:

X(t)= 9t and y(t)= 30t+10

Step-by-step explanation:

Im pretty sure that’s it bc 45/5 is 9 which would be per second how far x is goin up, and 160-10 (the starting point) is 150. 150/5 is 30 so that’s the rate and 10 is the starting point you add to it.

The parametric equations that represents the onscreen path of the airplane are;  x(t)= 9t and y(t)= 30t + 10

Correct answer is; x(t)= 9t and y(t)= 30t + 10

Proving the answer;

At t(0,10), x = 0 and y = 10

Thus;

For X-coordinate;

x(0) = 9(0)

x(0) = 0

Similarly;

For y-coordinate;

y(0) = 30(0) + 10

y(0) = 10

That corresponds with the coordinate t(0, 10).

At t = 5 seconds, we have;

For x-coordinate;

x(5) = 9(5)

x(5) = 45

Similalry, for the y-coordinate;

y(5) = 30(5) + 10

y(5) = 160

That corresponds with (45, 160)

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Answer:

Step-by-step explanation:

There are 11 students in total.

6 girls.

and 5 boys.

so the probability of selecting a girl is 1/5  because 5 boys or it could be 1/11 if i am not mistaken.

(which i might be)

When identifying the parts of a packaged data model that apply to your organization, you should first start with understanding your Organization's specific needs and requirements.

This involves the following steps:

1. Assess your organization's business processes and goals, which helps in identifying key areas where data modeling can enhance decision-making and performance.

2. Analyze existing data sources and systems to understand the current data landscape, including its structure, relationships, and data quality.

3. Identify the critical data elements that align with your organization's needs, such as customer information, sales data, or financial data. These elements form the foundation of your data model.

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By following these steps, you will effectively identify and apply the parts of a packaged data model that best suit your organization's needs, enabling improved decision-making and performance.

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