Find the exact directional derivative of the function √√x y z at the point (9, 3, 3) in the direction (2,1,2).

Answer:

Jacqueline = 150 minutes

Cassie = 125 minutes

The answer would be 2. (The difference in length between Cassie’s longest and shortest practice sessions was greater than the difference in length between Jacqueline’s longest and shortest sessions.)

Step-by-step explanation: Cassies longest session was 50 minutes. her shortest session was for 15 minutes and they are 45 minutes apart. Jacquelines longest session was 45 minutes and her sgortest was 30 minutes they are onlu 15 minutes away from eachother so the second answer is correct.

Answer:

c

Step-by-step explanation:

The correct answer is option A which is y = 25x + 100.

Given the following:

To join a local square dancing group, Jan has to pay a $100 sign-up fee plus $25 per month

We need to write an equation for the cost (y) based on the number of months.

To solve the above problem, the answer is;a. y = 25x + 100

Explanation; Let's break down the problem

The $100 sign-up fee is a fixed cost that is added only once to the monthly fee which is $25. Thus the equation for the cost (y) based on the number of months can be expressed as; y = 25x + 100 where:y is the cost for the number of monthsx is the number of months

Therefore the correct answer is option A which is;y = 25x + 100.

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To join a local square dancing group,

Jan has to pay a $100 sign-up fee plus $25 per month.

The equation for the cost (y) based on the number of months is

y = 25x + 100,

where x is the number of months.

Option A is the correct equation for the cost based on the number of months.

Writing the equation:

y = 25x + 100

Where:

y = Cost based on the number of months

x = Number of months

Therefore, when Jan has been part of the local square dancing group for 1 month, the total cost will be:

$25 * 1 + $100 = $125

And if Jan has been a part of the group for 4 months, then the total cost would be:

$25 * 4 + $100 = $200

Therefore, option A is the correct answer.

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Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

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Answer:  Yes, the car is breaking the speed limit

Work Shown:

22 min = 22/60 = 0.36667 of an hour approximately

distance = rate*time

rate = distance/time

rate = (19 mi)/( 0.36667 hr)

rate = 51.818 mph approximately

The car is slightly over the 50 mph speed limit.

To solve this problem, we first need to determine the probability of drawing a face card (not including aces) on the first draw. There are 12 face cards in a standard deck, and 32 non-face, non-ace cards. So the probability of drawing a face card on the first draw is 12/44.

Next, we need to determine the probability of drawing a face card on the second draw, given that we did not draw a face card on the first draw. There are now 11 face cards left in the deck, and 43 cards total (since we removed one card on the first draw). So the probability of drawing a face card on the second draw, given that we did not draw a face card on the first draw, is 11/43.

Finally, we need to determine the probability of drawing a face card on the third draw, given that we did not draw a face card on the first or second draw. There are now 10 face cards left in the deck, and 42 cards total (since we removed two cards on the first and second draws). So the probability of drawing a face card on the third draw, given that we did not draw a face card on the first or second draw, is 10/42.

To find the expected number of face cards (not including aces) that we will draw, we need to multiply the probabilities of each draw and sum the results. So:

Expected number of face cards = (12/44) * (11/43) * (10/42) * 3
Expected number of face cards = 0.038

Therefore, the expected number of face cards (not including aces) that you will draw when drawing three cards without replacement from a standard deck is approximately 0.038.

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The equation that requires the multiplication property of equality to be solved is:

\(\boxed{\sf \dfrac{a}{6}=420}\)

Multiplication property of equality states that if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.

The multiplication property states that:

Out of the given options, \({\sf \dfrac{a}{6}=420}\) requires the multiplication property of equality to be solved.

That is:

\(\text{If} \ {\sf \dfrac{a}{6}=420}\)

\({\sf \dfrac{a}{6}\times6=420\times6\)

\(\sf a=2520\)

Hence, the equation that requires the multiplication property of equality to be solved is:

\({\sf \dfrac{a}{6}=420}\)

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Answer:

$25

Step-by-step explanation:

Let her monthly allowance be M.

=> M x 16% = 4

=> M = 4 x 25 / 4

=> M = 25

Maggie's monthly allowance is $25

Answer:

( x + 8 )( x - 8 ); None of the above

Step-by-step explanation:

Apply quadratic formula a^2 - b^2 = ( a + b )( a - b );

x^2 - 64 ⇒

x^2 - 8^2 ⇒

Answer: ( x + 8 )( x - 8 ); None of the above

-16t^2 represent the position on the graph on the negative side.

According to the statement

we have given equation is h(t)=5+100t-16t^2 -(1)

And we have to find representation of -16t^2

we know that the equation number (1) represent the Quadratic Equation

And in this we have to solve the Quadratic Equation and find the representation of the given terms. then

h(t)=5+100t-16t^2

5+100t-16t^2 = 0

16t^2 -100t-5 = 0

In this equation 16t^2 represent the equation on the graph.

It means that it shows the position on the graph.

Overall, -16t^2 represent the position on the graph on the negative side.

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The value of angle x is 73⁰

You should be aware that a point where two or three straight lines intersect forms an angles.

The parameters that will help us to determine the value of x are

Line B is a straight line. then the sum of angles on a straight line is 180.

⇒110 + b = 180

Making b the subject we have

b = 180 - 110

This means that  b = 70°

Also, a = 52° (Opposite angles)

The sum of all interior angles of a triangle is 180.

This means that a + b + c = 180

substitute for a and b to get c

52 + 70 + c = 180

122 + c = 180

Making c the subject of the relation

c = 180 - 122

⇒c = 58°

On the other hand c + d + e = 180

Substitute for c and d to have 58 + 49 + e = 180

107 + e = 180

Making e the subject of the relation we have

e = 180 - 107

e = 73°

But x = e (opposite angles)

There the value of x is 73⁰

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Answer:

\( \frac{13}{2} \)

Step-by-step explanation:

slope of the line that passes thru (5, 3) and (8, A)

\( = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} \)

the line that is perpendicular to the given line is

6x + 7y + 13= 0

finding the slop of this line :-

\(6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} \)

Comparing with standard equation of a line

y = mx + c

m = - 6/ 7

Since, the two lines are perpendicular to each other the product of their slopes will be - 1

\( \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} \)

( canceling the 2 negative signs on both the sides )

To accurately estimate ln 1.4 to within 0.0001., we need at least 7 terms.

What does Maclaurin series mean?

Given the values of the function's successive derivatives at zero, a Maclaurin series is a power series that enables one to construct an approximation of a function with input values close to zero.

The Maclaurin series is what?

A Taylor series centered on zero is referred to as a Maclaurin series.

Presented function is:

f(x)=ln(1+x)

We are aware of the following expansion of ln(1+x) near zero (up to 7 terms):

\(ln(1+x)=x-\frac{x^{2} }{2} +\frac{x^{2} }{3}-\frac{x^{2} }{4}+\frac{x^{2} }{5}-........\)
Where \(-1\leq x\leq 1\)
Put x=0.4 in the preceding series for ln 1.4.

\(ln(1+0.4)=x-\frac{0.4^{2} }{2} +\frac{0.4^{2} }{3}-\frac{0.4^{2} }{4}+\frac{0.4^{2} }{5}-........\)
\(ln(1.4)=0.3365333\)

Therefore, to estimate ln 1.4 to within 0.0001, we require at least 7 terms.

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Therefore, the rate of change of sales at the time t=8 is 5.5 thousand. Note that we rounded to the nearest tenth as per the instructions.

To find the rate of change of sales at the time t=8, we need to take the derivative of the function S(t) with respect to t. The derivative of S(t) = 20 - 80e^-.2t is given by:
S'(t) = 16e^-.2t
Now, we can plug in t=8 into this derivative to get:
S'(8) = 16e^-.2(8)

= 5.5
In general, if we have a function S(t) that gives the sales in thousands at time t, then the rate of change of sales (in thousands per year) is given by the derivative S'(t) of the function S(t). The number that we get by plugging in a specific value of t (such as t=8 in this case) represents the rate of change of sales at that specific time.

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Answer:

Step-by-step explanation:

1/2 n+40 =55

 −40         −40

1/2 n = 15

*2         *2

n = 30

Answer:

a) 2>-3

b) 0>-4

Step-by-step explanation:

The way I was taught to remember this was, this < represents a crocodile, so whichever number is bigger, it eats that, which means it is facing the bigger number.

Hope this helps :)

Answer:

A. -3<2

B.-4<0

Hope this help

Answer:

your answer is A, C, B

Step-by-step explanation:

I did the assignment.

Answer:

the answer is:

Step-by-step explanation:

1. A

2. C

3. B

Answer: x = 0, Y = 2    

              x = 1, Y = 5

Step-by-step explanation:

Y = −3x^2 + 6x + 2

Y = 3x + 2

We can set the two equations equal to each other, since they both equal Y:

−3x^2 + 6x + 2 = 3x + 2

−3x^2 + 3x = 0

 3x(-x + 1) = 0

This gives us two possible solutions:

x = 0

x = 1

When x = 0, Y = 3(0) + 2 = 2

When x = 1, Y = 3(1) + 2 = 5

Therefore, the solutions to the system of equations are:

x = 0, Y = 2

x = 1, Y = 5

Sheba's initial horizontal velocity (Vx) is approximately 7.81 m/s, and her initial vertical velocity (Vy) is approximately 4.09 m/s.

To analyze Sheba's motion during dock diving, we can break down her initial velocity into horizontal and vertical components.

Given an initial speed of 8.72 m/s and an angle of 28 degrees, we can calculate the horizontal and vertical velocities using trigonometry.

The horizontal velocity (Vx) can be found using the cosine function:

Vx = V * cos(angle)

Vx = 8.72 m/s * cos(28 degrees)

Vx ≈ 7.81 m/s

The vertical velocity (Vy) can be determined using the sine function:

Vy = V * sin(angle)

Vy = 8.72 m/s * sin(28 degrees)

Vy ≈ 4.09 m/s

So, Sheba's initial horizontal velocity (Vx) is approximately 7.81 m/s, and her initial vertical velocity (Vy) is approximately 4.09 m/s.

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If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;

F'(-2/4, 8/4) = (-1/2, 2)

G'(4/4, 8/4) = (1, 2)

I'(-6/4, -4/4) = (-1.5, -1) and;

H(8/4, -4/4) = (2, -1)

A scale factor is is a number used to enlarge a shape and each side is multiplied by the same number.

The given trapezoid has the coordinate points F(-2, 8), G(4, 8), I(-6, -4) and H(8, -4).

If the coordinate points is reduced using the scale factor of 1/4, hence the resulting coordinate point will be;

F'(-2/4, 8/4) = (-1/2, 2)

G'(4/4, 8/4) = (1, 2)

I'(-6/4, -4/4) = (-1.5, -1) and;

H(8/4, -4/4) = (2, -1)

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Answer:I don’t know I just need points

Step-by-step explanation:

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer:

I might be wrong but atleast i can help.

The value of NO such that R is at the centroid of the triangle will be 57.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the b.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle,

The R is centroid thus NR/RO = 2/1

As per the given NR = 38

38/RO = 2/1

RO = 38/2 = 19

Thus, NO = NR + RO = 38 + 19 = 57

Hence "The value of NO such that R is at the centroid of the triangle will be 57".

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Answer:

8°

Step-by-step explanation:

The laws of angles say that angles opposite the vertex (as in this case) are equal

So

(7x + 15)° = (9x - 1)°

let's remove the ° just so as not to get confused

7x + 15 = 9x - 1

To solve we must move the Xs on one side of the = sign and the free numbers on the other. For that, we must do the same operations on both sides. If we subtract from one, from the other also, and so on.

So we are going to substract 15

(7x + 15) - 15 = (9x - 1) -15

It result:

7x = 9x - 16

We are going to substract 9x

(7x) - 9x = (9x - 16) - 9x

It result:

7x - 9x = -16

-2x = -16

We are going to change the signs (ON BOTH SIDES)

2x = 16

x = 8

now we have the value of X

we substitute x in the equations

7(8) + 15 = 9(8) - 1

56 + 15 = 72 - 1

71 = 71

So, the angles are 71°

Answer::b.

Step-by-step explanation:

Answer:

C

Step-by-step explanation: it's a negative slope, the y-intercept (b) is -1, and the rise over run is -4/1

Answer:

D. GH = FH because FG is perpendicular to the radius of a circle A.

Step-by-step explanation:

A circle has different parts which include but no limited to; diameter, chord, radius, segment, sector, circumference etc. This, it can be observed that FG is a chord on circle A, and a chord is always perpendicular to the radius of the circle that bisects it. This implies that FG has been bisected into two equal haves of FH and GH by the radius AH.

Therefore, since FG is at a right angle to AH, then it is true that GH = FH. So that the appropriate answer to the given question is option D.

Step-by-step explanation:

1) c= 180°

22) b= 22 (vertical angle theorem)

a and c = 158 because you subtract b and 22° from 360 and you get 316 then divide by 2 to get a and c

Answer:

Length = (6x³ + 2x² - 5) / (x + 5)

Step-by-step explanation:

We know that the area of a rectangle is given by the product of its length and width. We are given that the area of the plot of land is 6x³ + 2x² - 5, and the width is given by the expression x + 5. To find the expression for the length, we can divide the area by the width:

Area = Length * Width

6x³ + 2x² - 5 = Length * (x + 5)

Divide both sides by (x + 5):

(6x³ + 2x² - 5) / (x + 5) = Length

Therefore, the expression for the length of the plot of land is:

Length = (6x³ + 2x² - 5) / (x + 5)

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Answer:

x = 9

Step-by-step explanation:

3x+1=4x-8

    -1       -1

3x=4x-9

-4x -4x

-x=-9

x=9