The temperature at the point (x, y, z) in space is given by T ( x, y, z) = x + yz. A fly is at the point (1, 2, 1). In what direction should he begin to fly to cool off as quickly as possible. Your answer should be a unit vector in the requested direction.

Answers

Answer 1

Answer:

[tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]

Step-by-step explanation:

From the question we are told that

Temperature is given [tex]T ( x, y, z) = x + yz.[/tex]\

A fly is at (1,2,1)

Generally the direction of fly is given by

     

      [tex]\triangleT(x,y,z) =(1,z,y)\\[/tex]

       [tex]v= \triangleT(1,2,1)\\v=(1,1,2)[/tex]

Mathematically solving for the vector direction

       [tex]|v|=\sqrt{1^2+1^2+2^2}[/tex]

       [tex]|v|=\sqrt{6}[/tex]

       [tex]u=- \frac{v}{|v|}[/tex]

       [tex]u= -\frac{1}{\sqrt{6}} ,-\frac{1}{\sqrt{6}} ,-\frac{2}{\sqrt{6}}[/tex]

Therefore this the direction which should be taken to cool down soonest


Related Questions

GR5_Math_U7_FS
Jasmine and Kelly each bought a pizza. The pizzas are the same size.
Jasmine cut her pizza into 12 slices.
Kelly cut her pizza into 6 slices, and ate 2 slices.
Together, Jasmine and Kelly ate of one pizza.
How much of the pizza did Jasmine eat?

Answers

Answer:

4/6 of a pizza.

Step-by-step explanation:

We know that:

Both pizzas are of the same size.

Jasmine cut her's into 12 slices.

Kelly cut her's into 6 slices, and ate 2 slices, then Kelly ate 2/6 of a pizza.

Jasmine ate X of a pizza, and we know that between them ate a total of 1 pizza.

This means that:

X of a pizza + 2/6 of a pizza = 1 pizza

X + 2/6 = 1

X = 1 - 2/6

X = 6/6 - 2/6 = 4/6

Jasmine ate 4/6 of a pizza, knowing that she cut her's into 12 slices, this would mean that she ate 8/12 of a pizza, or 8 slices.

Which graph shows a linear relationship?

Answers

Answer:

Graph C

Step-by-step explanation:

Graph C shows a linear relationship

Answer:

For that one is C

1. Use the graph
below to find how
many solutions there
are and solve to find
the solution(s) to the
system of equations.

Answers

Answer:

One solution ; (2,5)

Step-by-step explanation:

When looking at a graph, the number of times the lines intersect is equal to how many solutions there are.

In this instance, there is only one intersection. Therefore, there is only one solution.

The solution is also that point of intersection. Therefore, the solution here is the point (2,5).

Which Inequality is shown on the accompanying graph (image included)
If you can, pls explain :’)

Answers

Answer:

4. x ≥ -1

Step-by-step explanation:

The graph shows a directed line that starts at -1 towards the your right. The full circle indicates that -1 is included among the possible values of x. This means that all possible values of x include -1 and above.

Therefore, we can say x is greater than or equal to -1.

This is represented as:

x ≥ -1

Danica made $319 babysitting last month. In the that month, She babysat for a total of 29 hours. How much money did Dianica make per hour?

Answers

11 dollars a hour if you divide 319 by the amount of hours she worked (29) that’s your answer

Answer:

$11/hr

Step-by-step explanation:

$319 divided by 29 hours she worked= getting paid 11/hr

easy question????????????/

Answers

Answer:

The answer to this is...........

Step-by-step explanation:

unknown

or 95

Answer:

95

Step-by-step explanation:

The two triangles shown are similar. Which of the following is an acceptable similarity statement for the triangles?

Question 8 options:


A)
ΔQSR ∼ ΔVUT


B)
ΔSRQ ∼ ΔVUT


C)
ΔRQS ∼ ΔVUT


D)
ΔSQR ∼ ΔVUT

Answers

Answer:

B

Step-by-step explanation:

they are two 90° .so B is correct I think

Answer:

B)

ΔSRQ ∼ ΔVUT

Step-by-step explanation:

The angles in the order SQR match VUT

Please mark me brainliest if this helped. :)

DA−2qA=B^3
Solve for A

Answers

Answer:

[tex]a=\frac{b^{3} }{d-2q}[/tex]

Step-by-step explanation:

i think

The value of A from the given equation is A=B³/(D-2q).

The given equation is DA-2qA=B³.

We need to solve the given equation for A.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, DA-2qA=B³ can be solved for A as follows:

A(D-2q)=B³

⇒A=B³/(D-2q)

Therefore, the value of A from the given equation is A=B³/(D-2q).

To learn more about an equation visit:

brainly.com/question/14686792.

#SPJ2

Kyle was asked to make a model to solve the following problem.

Mr. Bloom is creating a garden. 4/10 of his garden will be roses and 2/10 will be made up of sunflowers. How much room does Mr. Bloom have left after planting the roses and sunflowers?



Kyle said the answer was 2/5. Do you agree? Justify your reasoning in the post below.

Answers

Answer:

yes, kyle is right.

Step-by-step explanation:

4/10 + 2/10 = 6/10

there are 4/10 left after planting which can be reduced by 2 = 2/5

Answer:

No, it is 3/5

Step-by-step explanation:

Because you divide by 2  for both bottom and top of  the fractions and you will get 1/5, and 2/5 and you add them together and you get 3/5.

How do you turn a fraction into a percentage

Answers

Answer:

you turn a fraction into a percentage by dividing the numerator by the denominator. then multiply the decimal by 100.

Step-by-step explanation:

convert a fraction to a percent, first divide the numerator by the denominator. Then multiply the decimal by 100 .

Ron flies his airplane 20 km over the ground. He gains 800 m in altitude over the flight. What is the slope of the line segment representing the flight.

Answers

Answer:

this might help.......

Step-by-step explanation:

...

The slope of the line segment representing the flight is 0.04.

The slope of a line segment is calculated by dividing the change in the vertical direction (the altitude) by the change in the horizontal direction (the distance traveled). In this case, the change in the vertical direction is 800 meters (800 / 1000 = 0.8 kilometers) and the change in the horizontal direction is 20 kilometers. Therefore, the slope of the line segment is 0.8 / 20 = 0.04.

In other words, for every kilometer that Ron travels, he gains 4 meters in altitude.

Here is the solution in more detail:

Define the variables.

x: The distance traveled in kilometers.

y: The altitude in meters.

Write the equation for the line segment.

The slope of the line segment is 0.04, so the equation for the line segment is y = 0.04x + b.

We know that when x = 0, y = 0, so b = 0.

Substitute the known values into the equation.

We know that x = 20 and y = 800, so we can substitute these values into the equation to get 800 = 0.04 * 20 + 0.

Simplifying the right side of the equation, we get 800 = 0.8.

Solve for the slope.

The slope is 0.8 / 20 = 0.04.

Therefore, the slope of the line segment representing the flight is 0.04.

To learn more about slope here:

https://brainly.com/question/14511992

#SPJ2

square?
i neeed 200000000 charaters reeeeeeeee

Answers

Answer:

31

Step-by-step explanation:

you do 6×3=18 then you do 18+7=25  last 25+17=42 then you add 2

Answer:

i dont know what ur saying but square would me x2 or somthing like that.

two percent of a product are defective. if a lot of 100 items are ordered what's the probability that there are no defective item? what's the probability that there are at least two defective items?​

Answers

Answer:

P(X ≥ 2) = 0.5967

Step-by-step explanation:

Using binomial probability distribution formula;

P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)

two percent of a product are defective. Thus; p = 0.02

a lot of 100 items are ordered. Thus, n = 100

Probability that there are no defective items is;

P(X = 0) = C(100, 0) × 0.02^(0) × (1 - 0.02)^(100 - 0)

P(X = 0) = 0.98^(100) = 0.1326

the probability that there are at least two defective items will be;

P(X ≥ 2) = 1 - P(X < 2)

Now,

P(X < 2) = P(X = 0) + P(X = 1)

P(X = 1) = C(100, 1) × 0.02^(1) × (1 - 0.02)^(100 - 1)

P(X = 1) = 100 × 0.02 × 0.98^(99) = 0.2707

Thus;

P(X < 2) = 0.1326 + 0.2707

P(X < 2) = 0.4033

P(X ≥ 2) = 1 - 0.4033

P(X ≥ 2) = 0.5967

Pedro had 17.70 in his wallet he spent 3.25 on a drink . How much does he have left? Estimate the answer by rounding to the nearest whole numbers before subtracting

Answers

Answer:

15

Step-by-step explanation:

$17.7 rounded to $18

$3.25 rounded to $3

$18 - $3 = $15

Alice purchased a cell phone for 30% ff the original price. The sales price was $84 . What was the original price of the cell

Answers

Answer: $120

Step-by-step explanation:Quick maths.

Look at the two equations: -3x + 6 = 21 -3x + 6 < 21

Answers

Answer: b

i got it right and the answer was b for me

In a random sample of 50 West High School students, 14 students have a pet. If 500 students attend West
High School, which of the following is the best estimate of the number of West High School students who
have a pet?
A 36
B 50
140
D 464

Answers

Answer:

the answer is 140

Step-by-step explanation:

I think it would be B

I need help please?!!!!

Answers

Answer:

I am think so opction (C).....

I think it’s c it should be

prove tha "an empty set is a subset of any set"​

Answers

Answ

yes it is

Step-by-step explanation:

The following data represent the number of grams of fat in breakfast meals offered at a local fast food restaurant. ​(a) Construct an ordered​ stem-and-leaf plot and ​(b) describe the shape of the distribution.
37
43
18
27
20
16
35
23
12
5
17
23
2
12
18
17
39
25
3
4
19
6

Answers

Derslerinde başarılar dilerim

Please awnser this. -5r + 6 < -5(r + 2)

Answers

Answer:

No solution

Step-by-step explanation:

-5r + 6 < -5(r + 2)-5r + 6 < -5r - 106 < - 10

Wrong inequality so no solution

What are m and b in the linear equation, using the common meanings of m and b?



1 + 4x + 6 - x = y

Answers

if you simplify the equation you get y= 3x+7 so m or the slope will be 3 and b or the y intercept is 7

140% of what number is 39?
Provide an exact fraction answer.

Answers

Answer:

54.6 or 1 4/10

Step-by-step explanation:

If you find the 40 percent and add that to 39 (which is 100) you get 54.6.

helppppppppppppppppppp​

Answers

Step-by-step explanation:

sqrt(x + 2) - 15 = -3

sqrt(x + 2) = 12 (add 15 to both sides)

x + 2 = 12² = 144 (square both sides)

x = 142.

Answer:

x = 142

Step-by-step explanation:

√x+2 - 15 = -3 (Given)

√x+2 = 12 (Add 15 on both sides)

x + 2 = 144 (Square both sides to get rid of the radical)

x = 142 (Subtract 2 on both sides)

2. Explain. How do you know something is a pattern?

Answers

Answer:

It repeats over and over..

Step-by-step explanation:

Answer:

As such, the elements of a pattern repeat in a predictable manner. A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design.

Step-by-step explanation:

Stephanie and Jill share a reward of $65 in a ratio of 1 : 4. How much does Stephanie get?

Answers

Answer:

The answer is 52$

Step-by-step explanation:

the ratio converted in fraction is 1/5 by doing 4+1,

now you do 1/5 of 65 total dollars,

so you do 1/5 of 65,

=65/5

=13

jill will get 13$. but the question is asking for how much money did stephanie get. So now we do 13*4 which is 52$.

So stephanie gets 52$

Hope this helps,

Have a great day,

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What is 1,864.29 - 375

Answers

Answer:

1489.29

Step-by-step explanation:

Ignore the decimals, and just subtract 375 from 1864. That gives you 1489. Put the decimal values back and you get your answer of 1489.29.

1,864.29 - 735 = 1489.29

for a time-series plot, what is emphasized if the vertical axis starts at a nonzero value?

Answers

Answer:

The changes in the variable described by the vertical axis are being emphasized.

Step-by-step explanation:

-4 -(-12)= 12 + (-4) true or false

Answers

The answer is true :):)

Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D

Answers

Answer:

179

Step-by-step explanation:

5x^2 + x - 7

5(6)^2 + 6 - 7

5(36) + 6 - 7

180 +6 -7

180 - 1

179

Answer:

179 is the correct answer.

Step-by-step explanation:

x = 6

5x^2 + x - 7

Now, replace both x's with 6 and solve,

5(6)^2 + 6 - 7

(6 x 6 = 36)

5 x 36 + 6 - 7

(5 x 36 = 180)

180 + 6 - 7 = 179

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