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)
()) There are two cubes. The first cube has a volume of 1,000 cubic units. The second cube is smaller than the first, with sides only half as long. What is the volume of the second cube? D) cubic units Submit
Answer:
125 units^3
Step-by-step explanation:
Volume is l*w*h = V. A cube has all equal sides so wecan divide 1000 by 3 and get our side lengths.
You then divide the sides by 2 because the question says the second cubes sides are half the size
5*5*5 = 125
The volume of the second cube is 125 units³.
What is volume?In mathematics, ‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
Given that a cube has volume 1000 units³ and another smaller cube has smaller volume has side only half as long.
We need to find the volume of the second cube,
So, let the side of the first cube be x,
We know that the volume of a cube = side³
Therefore,
x³ = 1000
x = ∛1000
x = 10 units
Therefore, the second cube will have a side of 10/2 = 5 units
Volume of second cube = 5³ = 125 units³.
Hence the volume of the second cube is 125 units³.
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Find the value of f(7)
Answer:
f(7) = - 5
Step-by-step explanation:
Locate x = 7 on the x- axis, go vertically down to meet the graph at (7, - 5 )
Then the value of f(7) = - 5
solve:
4(n-7) -2 (n+3)-15n
Answer:
solved
Step-by-step explanation:
4n-28 -2n -6 -15n
-13n-34
-(13n+34)
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?
The volume of the rectangular prism is 4180in^3.
What is rectangular prism?"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".
For the given situation,
Length of the rectangular prism = 19 in
Width of the rectangular prism = 20 in
Height of the rectangular prism = 11 in
The formula for volume of the rectangular prism,
[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]
On substituting the values,
⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]
⇒[tex]V=4180[/tex]
Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].
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The cost for the raw materials of marble countertops, can be represented by the function , where is the area of the countertops. The retail markup, can be represented by the function. Which function can be used to find the marked-up price of a marble countertop depending on the area?
Answer:
[tex]m(c(a)) = 4.8875a[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]c(a) = 4.25a[/tex] --- Cost of marble countertops
[tex]m(c) = 1.15c[/tex] --- Cost of retail markup
Required
The cost of marked up price
This implies that we calculate m(c(a))
We have:
[tex]c(a) = 4.25a[/tex]
[tex]m(c) = 1.15c[/tex]
[tex]m(c) = 1.15c[/tex] can be written as:
[tex]m(c(a)) = 1.15*c(a)[/tex]
Substitute: [tex]c(a) = 4.25a[/tex]
[tex]m(c(a)) = 1.15*4.25a[/tex]
[tex]m(c(a)) = 4.8875a[/tex]
Hence, the cost of marked up price is: [tex]m(c(a)) = 4.8875a[/tex]
What’s the answer ? Please help
Answer:
C.
Step-by-step explanation:
un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco
Answer:
El pH del refresco es 3.42.
Step-by-step explanation:
Se puede calcular el pH del refresco usando la siguiente fórmula:
[tex]pH = -log([H^{+}])[/tex]
En donde:
[H⁺]: es la cocentración de los iones H⁺ de la solución
Entonces, el pH es:
[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]
El resutlado obtenido nos permite concluir que ese refresco es ácido.
Por lo tanto, el pH del refresco es 3.42.
Espero que te sea de utilidad!
Usando su fórmula, se encuentra que el valor de PH de ese refresco es dado por 3.42.
Cual es la fórmula para el valor de PH?Es dada por:
[tex]pH = -\log{H^{+}}[/tex]
Onde [tex]H^+[/tex] es la concentración.
En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:
[tex]pH = -\log{H^{+}}[/tex]
[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]
[tex]pH = 3.42[/tex]
El valor de PH de ese refresco es dado por 3.42.
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If there are 19 questions and each question has 4 answers, what is the probability she will answer at least one question correctly?
Answer:
0.9958
Step-by-step explanation:
P(being correct) = 1/4 = 0.25
Hence, p = 0.25
n = 19
P(x ≥ 1) = p(x = 1) + p(x = 2) +... + p(x = 19)
Using the binomial probability formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
However, to save computation time, we could use a calculator :
Using a calculator,
P(x ≥ 1) = 0.99577
P(x ≥ 1) = 0.9958
Need help due in 20 mins
Answer: The slope is 0.
The slope is 0 because for something to have a slope, it either has to be going upward or downwards.
Please help I need to show all work
Answer: x=-3 can you mark me brainlyest thanks
Step-by-step explanation:
3(x-6)=2x(x+3)
3x-18=3x+6x
3x-18=9x
-3x -3x
-18=6x
__ __
6 6
x=-3
Factor out the Greatest Common Factor (GCF): 36y - 16 ?
Answer: 4(9y-4)
Step-by-step explanation:
36y - 16
4 x 9 is 36
4(9 is just like 36y.
I need help I'm confused!
Answer:
160 and 70
Step-by-step explanation:
Please help so I don’t fail this class
What is the measure of the reference angle for a -287° angle
The measure of the reference angle for a -287° angle is 17°.
To measure of the reference angle for a -287° angle
1. Determine the quadrant: First, we need to identify the quadrant in which the angle -287° lies.
- In the standard coordinate plane, angles between 0° and 90° are in the first quadrant, between 90° and 180° are in the second quadrant, between 180° and 270° are in the third quadrant, and between 270° and 360° are in the fourth quadrant.
- Since -287° falls in the third quadrant, we know that the reference angle will be found in the first quadrant.
2. Find the corresponding acute angle: To find the reference angle, we need to find the acute angle that has the same trigonometric values as the given angle.
- To do this, we can add 360° to the given angle (-287° + 360° = 73°). This gives us an equivalent positive angle in the same position.
3. Determine the reference angle: Now that we have the positive equivalent angle (73°), we can find the reference angle by subtracting it from 90° (90° - 73° = 17°).
Therefore, the measure of the reference angle for a -287° angle is 17°.
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What is the equation for the hyperbola shown?
X
V2
= 1
602
112
72
-
x2
112
1
602
72
x2
=
1
602
112
72
112
x2
602
1
Answer:
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
Step-by-step explanation:
Since the hyperbola opens left and right with a center at the origin, then
[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]
In the graph a = 60 and b = 11
So
[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].
[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]
please please help me
(the number in the photo is 20 and then the letter is x)
(also if you can pls go to my profile and answer the question underneath this one)
Answer:
20°
Step-by-step explanation:
for alternate angles
Answer:
angle x= 20°
I hope it's helps you
What is the approximate value of
3
√
35
?
Answer:
17.7
Step-by-step explanation:
Use a calculator. Enter 3 and then √35. The calculator should return
17.748. Round this off to 17.7.
Answer:
17. 7 is the answer.
Step-by-step explanation:
#CarryOnLearningTriangle ABC is similar to triangle WYZ.
Determine whether the following statement is true or false.
sin(B)>sin(Y)
True
False
9514 1404 393
Answer:
False
Step-by-step explanation:
Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.
sin(B) > sin(Y) . . . . FALSE
sin(B) = sin(Y) . . . . true
Answer:
The answer is true.
Step-by-step explanation:
If Sally's school is 2.5 km long. How many meters long is Sally's school?
Answer:
2500 m long
Step-by-step explanation:
Answer:
2,500 meters
Step-by-step explanation:
There are 1000 meters in a kilo meter so just multiply 2.5 x 1000
Which cube is a unit cube?
a cube that is 9 inches long, 9 inches wide, and 9 inches high
a cube that is 3 meters long, 3 meters wide, and 3 meters high
a cube that is 1 yard long, 1 yard wide, and 1 yard high
a cube that is 11 centimeters long, 11 centimeters tall, and 11 centimeters high
Answer:
Option 3
Step-by-step explanation:
A unit cube has side lengths of 1
Answer:
3 is the answer
Step-by-step explanation:
A unit cube has side length that is 1
Vincent has a box of popsicles. There are 12 cherry, grape 10 orange, and 6 blue raspberry If he reaches in the box and pulls one out at random, what the probability it will be blue raspberry?
Answer:
6:28 or 3:14
Step-by-step explanation:
if you add all the flavor amounts up, which is 12 + 10 + 6, you get 28. 6 of those 28 popsicles are blue raspberry, so the ratio is 6:28. if it needs to be simplified, its 3:14 because 6/2 is 3 and 28/2 is 14
Answer:
6:28 if you add all Popsicles it gives you 28,so the probability that he will pick raspberry are 6 ,so if you simplyfy further its 3:14
b) 1325 + 13 long division
Answer:
1325 divided by 13 is 101.92 rounded to the nearest hundredth
Step-by-step explanation:
I'm not sure what the question is asking though.
The vertices of AABC have coordinates A(-2, -1), B (10,-1), C (4,4). State the
area of AABC.
HELP ASAP
Answer:30
Step-by-step explanation:
Mrs. Ortiz measured the outside temperature at noon as -2°F. Later that
day, she measured the temperature as -5°F. Write an inequality that
correctly compares -2 and -5. Then explain the meaning of the inequality
for the situation. 6.NS.7, 6.NS.7b
Answer:
-2°F>-5°F
Step-by-step explanation:
-2°F is greater than -5°F
This also means the first time Mrs. Ortiz measured the outside tempurature it was hotter than the second time she measured it.
Determine whether the three side lengths form a triangle. 3,5,7
Use the function below to find F(2).
F(t) = 2x1/2^3t
ОА. 1/32
O B.1/8
O c.1/16
O
D.1/64
Answer:
C
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:
please help!! this is due today!! (number 5)
((No links allowed))!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)
Answer:
z=25
Step-by-step explanation:
(3+5)^2+[8-11]+z=4(z-2)
(8)^2 +3+z=4z-8
square 8
add 8 to both sides
mines z from both sides
64+3+8=3z
75=3z
25=z
The area of the triangle below is 6.75 square meters. What is the length of the base?
Answer:
4.5
Step-by-step explanation:
I hope this helps, sry don't have enoug h time to explain
((−34)5)2 help me I'm confused AAAAAAAAAAAAAAAAAAAA
Answer:
340
Step-by-step explanation:
((-34)5)2
(-170)2
340
