Topografía. La superficie de una montaña se modela mediante la ecuación ℎ(, ) = 5000 − 0.001 2 − 0.004 2 . Un montañista se encuentra en el punto (500, 300, 4390). ¿En qué dirección debe moverse para ascender con la mayor rapidez?
Respuesta:
(-1, - 2,4)
Explicación paso a paso:
Dada la función:
ℎ (x, y) = 5000 - 0,001x2 - 0,004y2
Tomando la derivada parcial con respecto a ambas direcciones (xey) se obtiene la dirección del vector de gradiente, donde es posible el movimiento más rápido
H '(x, y) = (dh / dx, dh / dy)
dh / dx = 2 (-0.001x) = - 0.002x
dh / dy = 2 (-0.004y) = - 0.008y
H '(500, 300) = (- 0,002 (500); - 0,008 (300))
H '(500, 300) = (- 1; - 2,4)
Por lo tanto, el montañista ascenderá con la mayor velocidad en el punto (-1, - 2.4)
Can someone please help me I really need this one and it’s my last one please
You borrow $450 to pay for a laptop. The interest rate is 2.8%. After 18 months, how much interest do you owe?
Answer:
226.8%
Step-by-step explanation:
The principal is $450
Interest is 2.8%
Time is 18 months
Therefore the interest can be calculated as follows
= 450×2.8×18/100
= 22,680/100
= 226.8 %
Hence the interest is 226.8%
2. A bottle of water contains 40 fluid ounces of water. How many pints of water does the bottle
contain?
F. 2 pints
G. 3 pints
H. 1.75 pints
J. 2.5 pints
Can someone please answer quick.
Answer:
(-3,1)
Step-by-step explanation:
I can't see well
but I think it is
A square room in Denise's house measures 15 feet by 15 feet. Find the length of the diagonal of the room, rounded to the nearest tenth
Answer: 21.2
Step-by-step explanation:
A marine biologist measured one fish that was 9/10 of a foot long and a second fish that was 7/10 of a foot long. How much longer was the first fish?
Write your answer as a fraction or as a whole or mixed number.
Answer:
2/10 of a foot long.
Step-by-step explanation:
Answer:
The first fish was 1/3 of a foot longer.
mark me brainlest
Step-by-step explanation:
1/2=3/6
3/6>1/6
3/6-1/6=2/6
2/6 / 2/2
1/3
help ND show work as soon as possible
Answer:
the answer is c
Answer:
B
Step-by-step explanation:
Hope this works :)
What is the slope of y = 4-2x
Answer:
m=-2 its just -2
Step-by-step explanation:
Answer:
Using the slope-intercept form, the slope is −2 .
Step-by-step explanation:
What is the area of a rectangular pool with dimensions of 12 feet by 9.5 feet? Show all of your steps and work.
Answer:
If referring to surface area, it would be equal to 114 ft²
Step-by-step explanation:
Area = BH or LW
Multiply the two dimensions given
12 * 9.5 = 114
114 square feet
what is (-10,10) if i dilate it by 1/2
This box is 3/4 inch long, 1/2 inch wide, and 1/4 inch deep. What is the volume of the box?
A: 3/16 inch ^3
B: 3/8 inch ^3
C: 3/32 inch ^3
D: 1 1/2 inch ^3
The volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3
Calculating VolumeFrom the question, we are to determine the volume of the box
The volume of a box is given by the formula,
V = l × w × h
Where V is the volume
l is the length
w is the width
h is the height or depth
From the given information,
l = 3/4 inch
w = 1/2 inch
h = 1/4 inch
Thus,
Volume of the box = 3/4 × 1/2 × 1/4
Volume of the box = 3/32 inch³
Hence, the volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3
Learn more on Volume here: https://brainly.com/question/463363
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What is the solution for -2 + p = 7
Answer:
-2+p =7
p=9 is your answer
Answer:
p=9
Step-by-step explanation:
Can some one help me with all of these if not can you help me with 3-4
Help please!
Which expression has a value that is less than the base of the expression?
A. 5/63 (3 is squared)
B. 32 (2 is squared)
C. 23 (3 is squared)
D. 44 (2nd 4 is squared)
Dimitri wants to use his 18% employee discount to buy a video game that is priced at $69.99. A 6.5% sales tax is applied to the discounted price. What will be the total cost of the video game, including the sales tax?
A$55.37
B$56.54
C$61.12
D$61.94
Answer:
61.12 look at picture below for work and any rounding I did wrong it can be 62.13 if you are rounding the the next whole cent
is depth the same thing as height?
Answer:
Depth is the downward direction actually and height is upward direction got it?
Step-by-step explanation:
Answer:
No height is like a positive number while depth is like a negative number
use the pythagorean theorem to find the unknown side of the right triangle? hii does anyone know the hypotenuse length?
Answer:
17
Step-by-step explanation:
8^2 + 15^2 = c^2
64 + 225 = c^2
√289 = c
c = 17
Answer:
yes the answer is 17
Step-by-step explanation:
all you have to do for next time is a^2+b^2=C^2
a and b are legs or the lines that are connected to the right angle. the c is the hypotenuse which is always longer than the legs
The temperature drops to a rate of five degrees per hour. Be d the number of degrees that lowers the temperature. Be the number of hours you spend. What is the dependent variable?
Answer:
d, the number of degrees that the temperature was lowered by
Step-by-step explanation:
The dependent variable in this scenario would be d, the number of degrees that the temperature was lowered by. This is because the value of this variable depends on the actual amount of hours that have passed by. Therefore, depending on the number of hours, the value of d could be completely different. The variable h for the number of hours does not depend on any other variable in the equation and has its own value, but since d depends on h then it would be the dependent variable in this scenario.
a plane departs an airport and mistakenly travels due west at 500mph for 30 minutes. the pilot realizes that the correct destination (airport b) was actually 600 miles away at a bearing of 60 degrees west from airport a. how far is the airplane from its original destination now?
Answer:
403 miles
Step-by-step explanation:
500 mph is 500 miles per hour
30 minuites is half an hour, so that is 250 miles west
60 degrees west, 600 miles away
so it is a triagle of 30 60 and 90.
600 is the hypotenuse of the 30 60 90 triangle
we need to find the height of the 30 60 90 triangle
using the special rule, the height is 300
the length of the 30 60 90 triangle is 300rt3
so 300rt3 - 250 is the length of another triangle.
height is still 300
hypotenuse is the distance of the actual area minus the plane's current position
(300^2 + (300rt3-250)^2)^1/2 is about 403.351433
What is the volume of a square pyramid with a base length of 4 cm and a heighi of 9 cm?
Answer:
V = 48 cm³
Step-by-step explanation:
base = 4 x 4 = 16
V = 1/3(16)(9) = 48 cm³
Find the missing length of the
figure.
20 cm and 12 cm
Answer:
16 cm
Step-by-step explanation:
Since all sides of a square are equal
Side x can be gotten using pythagoras theorem
hypothanous² = adjacent² + opposite²[tex] {20}^{2} = \: {12}^{2} \: + \: {x}^{2} \\ 400 \: = \: 144 \: + \: {x}^{2} \\ {x}^{2} \: = \: 400 \: - \: 144 \\ {x}^{2} \: = 256 \\ x = \sqrt{256} \\ x = 16cm[/tex]help please 10 points
Answer:
Step-by-step explanation:
tell me the question ?? did not say the question ok ??
CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
Answer: the distance from x axis is 4
Step-by-step explanation:
the y coordinate is 2 the x axis is on the bottom and 2 units for each number so 4 units
Answer:
Since e on the y-axis is 2, e on the x-axis would be 2 if you look at its distance from the x-axis because you have to look at the intersect
Step-by-step explanation:
PLEASE HELP!! ILL MARK BRAINLYEST!!
Which type of graph would you choose to show the number of home runs hit by each player compared to the team total?
A. histogram
B. bar graph
C. circle graph
D. line graph
Answer:
Bar graph
Step-by-step explanation:
if it helps don't forget to like and mark me down
Answer:
Bar Graph
Step-by-step explanation:
8. A door to a classroom is 50 inches tall. Which of the following is another measure equal to
the height?
A. 4 ft 2 in.
B. 4 ft 1 in.
C. 4 ft 1/2 in.
D. 5 ft
Answer:
A.
Step-by-step explanation:
12 = 1 feet
50 =4ft 2in
Answer:
B. 4 ft 2 in.
Step-by-step explanation:
1 ft = 12 in
50/12 = 4.2
Simplify by combining like terms: -5x - 13 + 7y + 26x
Answer
21 x + 7 y − 13
Step-by-step explanation:
Just simplefly
Can someone please help
Answer:
D
Step-by-step explanation:
You need to dialate the shape by 2 centered in the origin and it rotates 180 degrees.
An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $580 and her stock in Company B was worth $5950. The stock in Company A has increased 5% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). plz dont do for points do to help meeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I think it’s 7.8 repeating
Step-by-step explanation:
ANSWER ASAP!!!!
Thank u
Answer:
27
Step-by-step explanation:
[tex]9 + 9 + 9 = 27[/tex]
3 sides
I am sorry if this is wrong
