Mathematics College

Match the functions f(x, y, z) with the description of their gradients. No reasons needed.
(a) x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(b) x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(c) 1/x2 + y2 + z2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin
(d) 1/x2 + y2
a. points radially outward from the z-axis
b. points radially inward toward the z-axis
c. points radially outward from the origin
d. points radially inward toward the origin

Answers

Answer 1

Answer:

1. C points radially outward from origin

2. A. Points radially outward from z origin

3. D. Radially inwards toward origin

4. B. Inwards towards the z axis

Step-by-step explanation:

X²+y²+z² = f(x,y,z)

Vector P<x,y,z>

2<x,y,z> = 2p

The answer is c points radially outward from origin

X²+y² = f(x,y)

<2x,2y,0>

Points radially outward from z axis

D. Points radially inwards toward origin

B. Points radially inwards toward the z axis.

Please check attachment for solutions to answers 3 and 4

Match The Functions F(x, Y, Z) With The Description Of Their Gradients. No Reasons Needed. (a) X2 + Y2

Related Questions

Write the equation in slope intercept form: 3x - 4y = 8*

Answers

Answer:

the answer is y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

The equation 3x - 4y = 8 written in slope-intercept form as y = (3/4)x - 2.

To write the equation 3x - 4y = 8 in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, to isolate y on one side of the equation.

Starting with the given equation:

3x - 4y = 8

First, let's subtract 3x from both sides of the equation to isolate the y term:

-4y = -3x + 8

Next, divide both sides of the equation by -4 to solve for y:

y = (3/4)x - 2

Now the equation in slope-intercept form. The slope is 3/4, and the y-intercept is -2.

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The Distance between the school and the park 6km there 1.6km in 1 mile how many miles are between the school and the park

Answers

Answer : 3.75 miles

Answer:

3.75

Step-by-step explanation:

6 km = 1.6 km

1 km = x

6 / by 1.6 = 3.75

HOPE ITS HELPFUL!

What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10

Answers

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

Step-by-step explanation:

40 percent of this number is a small amount

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time

1 mile = 1609 meters.

Answers

Answer:

10.4 meters per second

Are the 2 triangles congruent?

Answers

Answer:

ya they r

Step-by-step explanation:

Yes they are hope this helps :)

An automatic teller machine gives you $150 in five and ten-dollar bills. There are two more than twice as many five-dollar bills as there are ten-dollar bills. How many of each denomination are there?

Answers

Answer:

There are 7 ten-dollar bills and 16 five-dollar bills.

Step-by-step explanation:

Let's call:

T: Number of ten-dollar bills

F: Number of five-dollar bills

The amount of money withdrawn from the ATM is $150:

10T+5F=150

Dividing by 5:

[tex]2T+F=30\qquad\qquad [1][/tex]

We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:

[tex]F=2+2T\qquad\qquad [2][/tex]

Substituting [2] into [1]:

2T+2T+2=30

Rearranging:

2T+2T=30-2

Simplifying:

4T=28

Solving:

T=28/4=7

From [2]:

F=2+2*7=2+14=16

There are 7 ten-dollar bills and 16 five-dollar bills.

What’s the value of y in this picture

Answers

Answer: A 83

Step-by-step explanation:

Add 46 to 51 then subtract from 180 to get the correct answer(83)

How do you show that an inequality is true on a number line?

Answers

Does it have the open and closed dot?

Enter the correct value so that each expression is a perfect-square trinomial.
x^2 + __ x + 36

Answers

Answer:

12.

Step-by-step explanation:

Answer:

Step-by-step explanation:

i did it and got it right on ed.

How many times greater is the value of the 8 in 38,900 than the value of the 8 in 57,080

Answers

it is 100 times greater because it is two places higher than 57,080

The stock price of a company was $35. The stock price fell to $28. Which is the closest to the percent decease in this stock price?

Answers

Subtract the new value from original value to find the difference:

35 - 28 = 7

Divide the difference by the original amount and multiply by 100:

7/35 = 0.2 x 100 = 20%

The decrease was 20%

Answer:

20%

Step-by-step explanation:

First, subtract the new value from the original value to find the difference between the two.

35 - 28 = 7

Next, divide the difference by the original amount.

7 / 35 = 0.2

Then, multiply by 100.

.2 x 100 = 20%

We now know that the decrease was 20%

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
Оооо
20
24

Answers

Answer:

Step-by-step explanation:

the decimal equivalent 3/5 is a repeating decimal true or false?

Answers

Answer: false

Step-by-step explanation:

3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.

True, the decimal equivalent of 3/5 is a repeating decimal.

We have,

The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.

When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.

This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.

Thus,

True, the decimal equivalent of 3/5 is a repeating decimal.

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please i need some help due in some mins

Answers

the answer is a 0.1 hope this helped

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer:

110d + 80 > 1620

d > 14

Step-by-step explanation:

The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d

Add 80 to this to represent the bonus points.

Use a greater than inequality, because you have to get more than 1620 points.

Put this all together:

110d + 80 > 1620

Then, solve for d:

110d + 80 > 1620

110d > 1540

d > 14

So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.

Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide. How much fencing will he need?

Answers

Answer:

he need 84

Step-by-step explanation:

12* 7

please mark me brainliesttt

Answer:

38 feet

Step-by-step explanation:

Find the perimeter:

12 + 7 + 12 + 7 = 24 + 14 = 38 feet of fencing

HELP ME PLEASE
In the diagram below, which distance represents the distance from point to
KE?

A JL
В. КМ
C. JM
D. JK

Answers

C. JM because that line is the height of the triangle

The shapes below are similar. What does x have to be?

Answers

I think it is 3.5
if 8 is divided by 4, you get two since they are the same shape, 14 should be divided by 4 as well which is 3.5

(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA dt in terms of dr dt . dA dt

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt = dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 25 m?

Area of the circle A = πr²

dA/dr = 2πr where r is the radius of the circle

dA/dt = dA/dr * dr/dt

dr/dt is the rate of increase in radius of the oil spill.

Given

dr/dt = 1m/s

radius r = 25m

Substitute into the formula above;

dA/dt = dA/dr * dr/dt

dA/dt = 2πr * 1

dA/dt = 2π(25) * 1

dA/dt = 50πm²/s

dA/dt = 157.1m²/s

Hence the area of the spill is increasing at the rate of 157.1m²/s

Find the value of f'(4) when
f(x)=5/3x^3/2+8x^1/2

Answers

To figure this out plug in 4 for x

f(4)=5/3(4)^3/2+8(4)^1/2 = 5/3(8) + 8(2)
= 5/3 x 8 + 16 = 40/3 +16 = 88/3

Hope this helps!

Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110

Answers

Answer:15x+35=110

Step-by-step explanation:

Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)

Answers

Answer:

-10

-20

-26

-2

Step-by-step explanation:

I used a calculator to make sure

There are 27 students in a class one third of the students are boys how many students are girls

Answers

Answer:

18 students are girls.

Step-by-step explanation:

Answer: The answer would be 18 girl students

Step-by-step explanation:

If one 3rd of the students are boys, divide 27 by 3 and you get 9, 9 times 2 equals 18, the other nine students are the boys, while there are 18 girls.

A person can pay $14 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $46?

Answers

Answer:

Step-by-step explanation:

First, subtract the membership free from the total cost:

46 - 14

= 32

To find how many visits they can make, divide this by 1:

32/1

= 32

So, the maximum number of visits a member can make is 32.

Answer:

Step-by-step explanation:

twice a number k plus the quantity s minus 2

Answers

2k + s - 2

I don't understand the question

Answer:

2k+s-2

Step-by-step explanation:

twice means 2 and k is just a number but as a letter. plus the quantity s is just s as a number, then minus 2 is

=2k+s-2

5(3 - x) < -2x + 6 please solve for me <3

Answers

what grade are you learning this in

Answer:

Step-by-step explanation:

−5x+15<−2x+6

Step 2: Add 2x to both sides.

−5x+15+2x<−2x+6+2x

−3x+15<6

Step 3: Subtract 15 from both sides.

−3x+15−15<6−15

−3x<−9

Step 4: Divide both sides by -3.

−3x

−3

−9

−3

Translate the sentence into an equation. The sum of 2 times a number and 5 is 8.

Answers

Answer:8=2xn+5

Step-by-step explanation:X is times

n is variable

Find the area of the triangle

Answers

The area should be 60 which is half the height times base

Divide the number 90 into three parts in the ratio 1:4:5.

Answers

Answer:

9, 36, and 45

Step-by-step explanation:

The order is 9, 36, and 45 because as we have to divide 90 into 1:4:5, 1+4+5=10 total parts. Then 90 divided by 10 equals to 9. The first number has 1 part, so 9x1=9 for the first number. For 4 parts, 9x4=36 for the second number. For 5 parts, 9x5=45 for the third number. The order is 9, 36, and 45. Hope it helps!

When we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.

Given that,

The number is 90. We have to divide the above number in 1:4:5 ratio.

Based on the above information, the calculation is as follows:

x + 4x + 5x = 90

10x = 90

x = 9

Now multiply each ratio with 9 to get each value.

So, the values should be 9,36, and 45.

Therefore we can conclude that when we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.

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The measured height, in feet, of an airplane at certain times, in minutes, after takeoff can be modeled using the regression equation y = StartFraction 29,864 Over 1 + 9.381 e Superscript negative 0.9948 x Baseline EndFraction. To the nearest hundred feet, what is the predicted height of the airplane after 18 minutes?

Answers

Answer:

29900 ft

Step-by-step explanation:

just plug in 18 for x

A function assigns the values. The predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The measure of the height of an airplane at a certain time is given by the function,

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}[/tex]

where x is the time in minutes and y is the height of the airplane.

Now, the height of the plane after 18 minutes post takeoff can be calculated by substituting the value of time, x as 18 in the function.

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-0.9948 \times 18}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}[/tex]

[tex]y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}\\\\y = \dfrac{29,864 }{1+(9.381 \times 1.6724 \times 10^8)}\\\\y = \dfrac{29,864 }{1+(1.5689 \times 10^8)}\\\\y = \dfrac{29,864 }{1.000000157}[/tex]

y = 29864 ft

Hence, the predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

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