hello its my birthday does anyone have a clue on how to do this :D

The angle between the two vectors: 7j + 19k and -5i - j is approximately 86 degrees.

To find the angle between two vectors, you can use the dot product formula:

\(\bar{A} . \bar{B}\) = |A| |B| cosθ

Where

\(\bar{A}\)  is vector A

\(\bar{B}\) is vector B

|A| is the magnitude of vector A

|B| is the magnitude of vector B

θ is the angle between them.

Given the vectors:

\(\bar{A}\) = 7j + 19k

\(\bar{B}\) = -5i - j

\(\bar{A} . \bar{B}\) = (0)(-5) + (7)(-1) + (19)(0)

       = -7

Next, we need to calculate the magnitudes of A and B:

|A| = \(\sqrt{7^2 + 19^2}\)

     = \(\sqrt{410}\)

     = 20.25

|B| = \(\sqrt{(-5)^2 + (-1)^2}\)

    = \(\sqrt{26}\)

Now, we can use the dot product formula to find cos(theta):

-7 = 20.25 * √26 cosθ

cosθ = -7 / 103.255

cosθ = -0.06779

cosθ = -0.06779

Finally, we can find the angle θ by taking the inverse cosine of cosθ:

θ = cos⁻¹(-0.06779)

θ = 86.11 degrees

Therefore, to the nearest degree, the angle between the vectors 7j + 19k and -5i - j is approximately 86 degrees.

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Answer:

Don't want any but here's your answer

Step-by-step explanation:

He spends $165 on 20 gallons

Answer:

m= -29

Step-by-step explanation:

This is a bit of a complex equation, but let's work through it.

2/3 (m-1/2) +3= m/3-7

First, we need to distribute the 2/3.

(2/3)(m)+(2/3)(−1/2)+3=m/3+−7

Now we simplify that.

2/3m+−1/3+3=1/3m+−7

We can now combine like terms.

2/3m+8/3=1/3m+−7

The goal is to isolate the variable, so we should subtract 1/3m from both sides.

1/3m+8/3=−7

Lets keep going! We can subtract 8/3 from both sides.

1/3m=-29/3

Well now we know what 1/3 of m is, but we want to know what m is. So we can multiply both sides by three to finally find out what m is!

m=-29

We did it! m=-29

Answer:

slope would be 3 or 3/1

Step-by-step explanation:

I think i'm not totally sure it could be -3 or -3/1

there are 10 clubs on campus. how many ways are there if you want to choose 3 student clubs out of 10 to join is 120

A fractional factorial experiment utilizes subset of combinations that are gotten from the full factorial experiment. They are applicable when there are too many inputs to screen practically or cost or time would be excessive.

Also, using the fractional factorial experiment makes running the experiments faster and cheaper.

10C3 = 10! / (7!*3!)

        = 10*9*8/6

        = 120

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Answer:

630 cubic inches of 630 in³

Step-by-step explanation:

The formula for the volume of a triangular prism = (Area of the base) × Height of the triangular prism

Area of the base = 1/2 × base × height

= 1/2 × 5 inches × 12 inches

= 30 square inches

Volume of the Triangular prism = Area of the base × Height of the Triangular Prism =

Height of the triangular prism = 21 inches

Volume of the Triangular Prism = 30 Square inches × 21 inches

= 630 cubic inches of 630 in³

Step-by-step explanation:

the coordinates of a point are x and y.

so, by using the coordinates of each point in the main equation we get 2 specific equations to solve for the 2 variables A and B.

for (-3, 10) we get

A×-3 + B×10 = -18

for (6, -2) we get

A×6 + B×-2 = -18

when I look at these 2 equations and the multiplication factors of A and B in them, I find we can multiply the first equation by 2 and then add both equations. that eliminates A and we can solve for B :

A×-6 + B×20 = -36

+ A× 6 + B×-2 = -18

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

0. B×18 = -54

B = -54/18 = -3

A×6 + -3×-2 = -18

A×6 + 6 = -18

A×6 = -24

A = -24/6 = -4

Answer:5/6

Step-by-step explanation:

simplify

Answer:

110

Step-by-step explanation:

Let the three numbers be 100, 110 and 120

100 + 110 + 120 = 330

Total numbers = 3

\(mean = \frac{330}{3} = 110 \\ \)

The correct answer is c. Yes, because the evidence was not strong enough to suggest that average reading and writing scores differ.

In hypothesis testing, we use a significance level to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than the significance level, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis. If the p-value is greater than the significance level, we fail to reject the null hypothesis and conclude that there is not enough evidence to support the alternative hypothesis.

Based on the results of the hypothesis test, if we failed to reject the null hypothesis (which is the case in this question), then we cannot conclude that the average reading and writing scores differ. Therefore, it is reasonable to expect a confidence interval for the average difference between the reading and writing scores to include 0. A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. Since we cannot conclude that the average scores differ, it is possible that the true population parameter is 0, and thus 0 could be included in the confidence interval.

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Answer:

1. ΔCDE≅ΔJEH

2. ΔIHG≅ΔIHD

3. ΔIHJ≅ΔIXT

4. ΔIJT≅ΔJIH

5. ΔEFD≅ΔDKJ

6.ΔGWY≅ΔGHI

y = -3

to get to 20 characters

let me tell you the complicated progress

y = -3 as you can see

(or)

y = ax + b

-3 = -2a + b

-3 = 3a + b

a = 0

b = -3

So y = 0x - 3

y = -3

Answer:

127.3 feet.

Step-by-step explanation:

The line from first base to third base is the hypotenuse of a right triangle, with the right angle at home base.

Since this is a right triangle, we will use the Pythagorean Theorem to find the hypotenuse.

So, let a = one side and let b = the other side of the right triangle. And, let c = the hypotenuse.

The Pythagorean Theorem is:

c^2 = a^2 + b^2.

So, c= sqrt(a^2 + b^2)

And we have: c= sqrt(90^2 + 90^2)

= sqrt(8100 + 8100) = sqrt(16,200)

= 127.3 ft.

Conclusion: The distance from first base to third base is 127.3 ft, (approximately).

Answer:

The most likely result is that there will be no winners in the stadium.

Step-by-step explanation:

The odds of winning are 1 in 1 million, which means that there is a 99.9999% chance that any given person will not win. If there are 100,000 people in attendance at the game, then the expected number of winners is 0.1.

Answer:

-0.95238095238???????

Based on the information, it should be noted that the values in the table will be:

x. 4.       1.        5.       10

y  10.    2.5.    12.5.     25

It should be noted that the ratios are equivalent.

It should be noted that in Mathematics, ratio is used to show the relationship between the variables that are illustrated based on the information given.

In this case, when x is 4, it should be noted that y is 10. Therefore, it should be noted that the relationship between the values will be:

= 4 / 10

= 0.4

Therefore, x is 0.4y.

The ratios are the same. This is because they've a constant value of 0.4 when divided.

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Answer:

Total surface area

1) 46cm²

4) 304cm²

Step-by-step explanation:

1) First you need to work out each face on its own, opposites will be the same such as the front and back, top and bottom, side to side, because its a rectangle.

Formula : Base x height

Front/back : 5x3=15 and 15 =30 (added together)

top/bottom : 1x5= 5 and 5 = 10

side/side : 3x1= 3 and 3 = 6

30+10+6=46cm²

4) lets work out the easy ones first using the same formula from question 1 for one surface area but this is a trapezium, which is a irregular quadratical shape so the sides would most liky be different from each other except the front and back.

Top : 5x8=40

bottom : 3x10=30

right side : 12x8=96

Left side : 12x10=120

front/back= 12x3=36 / 2 = 18

Because if u added another side to make it a rectangle then divide by 2 would get the answer or 1/2 x base x height also works.

40+30+96+120+18=304cm²

The number of months it will take for both accounts to have the same amount of money is 250.50 - 35m = 300 - 45.25m, which can be found using the equation.

Let  m be the  number of months.

It is given that:

The international Business club starts with $ 250.50 in their account.

and each month they spent $ 35 on activities.

This means that after m months the total amount left in the bank account is:

250.20-35 m

The future agriculture leaders club start with a amount of $ 300 and spent $ 45.25 each month.

This means that the amount left in the account after m months is:

300-45.25m

Now, the equation that represents same amount of money in both the accounts is:

250.50-35m=300-42.25m

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Using proportions, it is found that Tonio will earn a total of $23,002 in commissions this year.

His salary is composed by:

Then, the total commissions are given by:

\(T = 0.023(52)(15500) + 0.03(12)(12400) = 23002\)

Tonio will earn a total of $23,002 in commissions this year.

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Answer:

Step-by-step explanation:

Since 3 8/6 is an improper fraction, 8/6 creates a whole number because 6/6 = 1. The remainder of the fraction would be 2/6.

Which, the equivalent is 4 2/6.

The critical value of t is (C) 2.365.

Confidence intervals for the mean of the populationSolutions: From the question, we need to find the critical values of t from Table C for the following situations.

(a) A 99% confidence interval based on n = 24 observations.

(b) A 98% confidence interval from an SRS of 21 observations.

(c) A 95% confidence interval from a sample of size 8.

Critical values of t from Table C for confidence intervals for the mean of the population are as follows.

(a) For a 99% confidence interval based on n = 24 observations, the degree of freedom is 23.

Therefore, the critical value of t is 2.500.

(b) For a 98% confidence interval from an SRS of 21 observations, the degree of freedom is 20.

Therefore, the critical value of t is 2.527.

(c) For a 95% confidence interval from a sample of size 8, the degree of freedom is 7.

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Answer:y

y=4x−5

Step-by-step explanation:

On average, a customer spends approximately 1.16 minutes waiting time on hold before they can start speaking to a representative.

To find the average waiting time for a customer on hold before they can start speaking to a representative, we need to consider both the arrival rate of calls and the average service time of the staff members.

Given:

9 staff members taking calls.

On average, one call arrives every 5 minutes (standard deviation of 5 minutes).

Each staff member spends on average 18 minutes with each customer (with a standard deviation of 27 minutes).

To calculate the average waiting time, we need to use queuing theory, specifically the M/M/c queuing model. In this model:

"M" stands for Markovian or memoryless arrival and service times.

"c" represents the number of servers.

In our case, we have an M/M/9 queuing model since we have 9 staff members.

The average waiting time for a customer on hold is given by the following formula:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

Where:

c = number of servers (staff members) = 9

μ = average service rate (1 / average service time)

λ = average arrival rate (1 / average interarrival time)

ρ = λ / (c * μ)

First, let's calculate the average arrival rate (λ):

λ = 1 / (average interarrival time) = 1 / 5 minutes = 0.2 calls per minute

Next, calculate the average service rate (μ):

μ = 1 / (average service time) = 1 / 18 minutes = 0.0556 customers per minute

Now, calculate ρ:

ρ = λ / (c * μ) = 0.2 / (9 * 0.0556) ≈ 0.407

Finally, calculate the waiting time:

Waiting time = (1 / (c * (μ - λ))) * (ρ / (1 - ρ))

= (1 / (9 * (0.0556 - 0.2))) * (0.407 / (1 - 0.407))

≈ 1.16 minutes

Therefore, on average, a customer spends approximately 1.16 minutes waiting on hold before they can start speaking to a representative.

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The equation of the line perpendicular to 4x - 3y - 5 = 0 and passing through the point (-3, 2) is y = (-3/4)x - 1/4.

Here, we have,

To find the equation of a line perpendicular to the given line and passing through the point (-3, 2), we need to determine the slope of the given line and then find the negative reciprocal of that slope.

The given line has the equation 4x - 3y - 5 = 0.

To find its slope, we can rearrange the equation in slope-intercept form, y = mx + b, where m represents the slope:

4x - 3y - 5 = 0

-3y = -4x + 5

y = (4/3)x - 5/3

So, the slope of the given line is m = 4/3.

The negative reciprocal of 4/3 is -3/4. Therefore, the slope of the perpendicular line is m₂ = -3/4.

Now, we can use the point-slope form to write the equation of the perpendicular line:

y - y₁ = m₂(x - x₁)

Substituting the values of the point (-3, 2) into the equation:

y - 2 = (-3/4)(x - (-3))

Simplifying:

y - 2 = (-3/4)(x + 3)

y - 2 = (-3/4)x - (9/4)

y = (-3/4)x - (9/4) + 2

y = (-3/4)x - (9/4) + 8/4

y = (-3/4)x - 1/4

Therefore, the equation of the line perpendicular to 4x - 3y - 5 = 0 and passing through the point (-3, 2) is y = (-3/4)x - 1/4.

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complete question:

Find an equation of a line perpendicular to the given ine that contains the given point. Write the equation in slope-intercept form. (If the equation is a vertical line, use the form x = a.) line 4x - 3y - 5, point (-3,2)

Answer:

3584

Step-by-step explanation:

Data that are accurate, consistent, and available in a timely fashion are considered C) high-quality.

High-quality data is characterized as being reliable, consistent, and timely. High-quality data offers a strong foundation for analysis and decision-making because it is accurate, error-free, and consistent.

It is a valuable asset for organizations because it promotes accurate reporting and analysis, increases operational efficiency, and allows for informed decision-making. Although database management systems like Oracle and Microsoft SQL Server can assist with managing and storing data, the quality of the data is unrelated to the particular technology or program employed.

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Answer:

315

Step-by-step explanation:

You're welcome
Answer above is rounded btw

Full number is:315.24444

Answer:

225 m³ or 225 cubic meters

Step-by-step explanation:

Actually it has 5 sides, the 2 bases, the 3 lateral faces.

The formula for the volume of a triangular prism is: \(\frac{h*b*l}{2}\)

Using the given measurements, we get:

\(\frac{9*5*10}{2} =\\\\\frac{450}{2} =\\\\225\)

The volume of the prism is 225 m³