Answer:
Maximum rate change |[tex]\nabla[/tex]f| = √65
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )
Step-by-step explanation:
Given that;
f(x, y) = 4y √x, (4, 1)
{ x=4 and y=1 }
Maximum rate of change occurs with the gradient vector;
[tex]\nabla[/tex]f = [ df/dx, df/dy ] = [ 2y/√x, 4√x ]
we substitute in our value of x and y
[tex]\nabla[/tex]f = 2(1)/√4, 4√4
[tex]\nabla[/tex]f = 2/√4, 4√4
[tex]\nabla[/tex]f = ( 1, 8 )
Maximum rate change |[tex]\nabla[/tex]f| = | ( 1, 8 ) | = √( 1² + 8² ) = √(1 + 64)
Maximum rate change |[tex]\nabla[/tex]f| = √65
Direction = [tex]\nabla[/tex]f / |[tex]\nabla[/tex]f|
we substitute
Direction = ( 1, 8 ) / √65
i.e Maximum rate change is √65 and it occurs in a direction of ( 1, 8 )
In ΔXYZ, x = 460 inches, y = 340 inches and ∠Z=47°. Find the area of ΔXYZ, to the nearest square inch.
Answer:
35.8
Step-by-step explanation:
Answer:
35.8
Step-by-step explanation:
Done the test
Which is the graph of f(x)= 3/2(1/3)^x ?
Answer:
HERE IS THE ANSWER HOPE IT HELPS :)
Step-by-step explanation:
Brainliest PLLLLSSSSS?
Answer:
Answer is B on e 2020
Step-by-step explanation:
Factorise the following expressions :
Answer:
(x+y)²-4xy
x²+2xy+y²-4xy
x²+2xy-4xy+y²
x²-2xy+y²
(x-y)²
or
(x-y)(x-y)
WILL GIVE BRAINLIEST
Answer:
hey there, it's option A, -7.
Can someone help me with these two please-
Answer:
a. 405/4
b. 1/32
Step-by-step explanation:
a. (5x8 + 5) / 8 x 18
= 45/8 x 18
= 405/4
b. 3/8 ÷ 12
= 3/8 x 1/12
= 1/32
I really need help with my question
answer :
z=11
y=13
will be ur answers
Where does the adjacent interior angle go in a triangle?
Answer:
Any two interior angles that share a common side are called the "adjacent interior angles" of the polygon, or just "adjacent angles". Here the word adjacent is used in its ordinary English meaning of "next to each other".
Step-by-step explanation:
Kevin Chamberlin?...........
Answer:
Yeah thats weird
Step-by-step explanation:
find the product 3/8 x 2 help plz
Answer:
3/4
Step-by-step explanation:
hope this helps. I have to wrote this random think so it can be 20 characters hope this helps enjoy
What should I know before precalculus?
please mark me brainliest and whoever marks me right down your name and I will mark you back
Answer:
hope it helps
Step-by-step explanation:
You'll be doing a lot of graphing, quadratic equations, polynomial equations, trig graphs and inverse graphs to name a few things so make sure you're good with algebra, geometry, and trigonometry. Trig identities and algebra skills
In a drawer there are 6 black socks,8 white socks,2 red socks, and 4 blue socks. A boy takes one socks from the drawer, without looking. What is the chance that this socks is blue?
Answer:
1/5
Step-by-step explanation:
Chance is also referred to as probability
probability = Number of event/Total samples space
If there are 6 black socks,8 white socks,2 red socks, and 4 blue socks in a drawer, the total number of socks will be the sample space
Sample space = 6 + 8 + 2 + 4
Sample space = 20socks
Total number of blue socks is the event
Number of event = 4 blue socks
Chance that the socks is blue = n(E)/n(S)
Chance that the socks is blue = 4/20
Chance that the socks is blue = 1/5
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 6 feet. Approximately how many square
feet of the turf need to be painted for a base circle? Use 3.14 for it and round your answer to the nearest tenth.
O 7.5 square feet
O 9.4 square feet
O 18.9 square feet
O 28.3 square feet
Answer:
28.3
Step-by-step explanation:
pi r^2 = area of circle
6/2 = radius
3.14(3)^2
28.26 -> 28.3
Kaitlyn buys books from a book club. She calculates the total cost, in
dollars, of each order using the formula 15b + 5. In her formula, b
represents the number of books she orders.
a) What is the total cost of ordering four books?
b) What is the total cost of ordering two books?
c) What is the total cost of ordering one book?
Answer:
c=what is the total cost of ordering one book..
Step-by-step explanation:
Given function:
15b+5What this means:
15b+5 means that 15+5..b=1 for 15+15so if the cost of the book is 15 dollars it adds 5 since you brought that book or for other reasons.15+5=1 book and b represents it.Therefore, b=the total cost of ordering one book..
A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?
I NEED HELP LPZ WILL GIVE BRINLYIST FOR CORRECT ANSWER (NO LINKS)
please help!
Evaluate the expression: [3^2 x (2.4 ÷ 4)] + 1.7
Answer:
7.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[3² × (2.4 ÷ 4)] + 1.7
Step 2: Evaluate
[Brackets] Exponents: [9 × (2.4 ÷ 4)] + 1.7[Brackets] (Parenthesis) Division: [9 × 0.6] + 1.7[Brackets] Multiplication: 5.4 + 1.7Add: 7.1Tell whether -3 is a solution of the inequality
3-4r >_ 15
Answer:
-3 is a solution.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
3 - 4r ≥ 15
Step 2: Solve for r
[Subtraction Property of Equality] Subtract 3 on both sides: -4r ≥ 12[Division Property of Equality] Divide -4 on both sides: r ≤ -3Step 3: Compare
Substitute in r: -3 ≤ -3This is true. -3 is less than or equal to -3.
The three sides of AXYZ
measure 13 feet, 17 feet, and
21 feet. IS AXYZ an acute,
right, or obtuse triangle?
9514 1404 393
Answer:
acute
Step-by-step explanation:
I like to think of this in terms of the "form factor" (a term I made up). It is computed as ...
f = a² +b² -c²
where a, b, c are the side lengths, and c is the longest.
The interpretation is ...
f > 0 . . . acute
f = 0 . . . right
f < 0 . . . obtuse
Here, we have ...
f = 13² +17² -21² = 17 . . . . . the triangle is acute
_____
Additional comment
The measure of the largest angle is ...
arccos(f/(2ab)) = (17/(2(13·17)) = arccos(1/26) ≈ 87.8°
You can see that (2ab) is always positive, so the sign of f matches the sign of the cosine of the angle. That is what leads to the above interpretation.
This formula comes from the Law of Cosines, of which the Pythagorean theorem is a special case.
Is 3/2 greater than 1? Or Less than
Answer:
3/2 is greater than 1
Step-by-step explanation:
A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.
If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.
In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).
Hope that helps :)
Which is the biggest negative integer
Answer:
-1
Step-by-step explanation:
in numeracy numbers on right hand are bigger than numbers on left hand -1 is bigger than all negative integers. they all fall on the left of -1
A helicopter hovers 500 feet above a small island. The figure shows that the angle of
depression from the helicopter
to point P is 49º. How far off
the coast, to the nearest foot, is the island?
Answer:
435 ft
Step-by-step explanation:
Reference angle = <P = 49° (angle of elevation)
Opposite side = 500 ft
Adjacent side = d = ?
Apply trigonometric function, TOA.
This:
Tan P = opp/adj
Tan 49 = 500/d
d × Tan 49 = 500
d = 500/Tan 49
d = 434.643369 ≈ 435 ft (to the nearest foot)
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
Answer:
-73
Step-by-step explanation:
if f is 73
and they made f negative, they just made 73 negative too.
i don't know if there is more in that expression
all i can see is
-f=___
Steven has a small business that provides computer application training and data entry support services. He earns $25 per hour for training and $15 per hour for data entry support. Steven can work no more than 40 hours a week. He wants to use linear programming techniques to optimize his income. Part A Construct a model to represent the amount of time Steven can spend on data entry and training. Be sure to define your variables.
Sketch a graph of your model.
Answer:
25×40=100
15×40=30
100+30=130
Someone please help me answer this!!
Answer:
1.75 x 10^5
Step-by-step explanation:
Answer:
[tex]1.75 \times {10}^{ - 5} [/tex]
These 10 blocks are separated into 2 groups. Which equation represents how to find the number of blocks in each group?
A. 10 ÷ 2 = 5
B. 10 ÷ 5 = 2
C. 5 ÷ 2 = 10
D. 2 ÷ 5 = 10
Answer:
A) would be the answer
Step-by-step explanation:
this is the answer because 2 groups with 10 blocked all together has to have 5 blocks each group, also 5+5=10
Given the matrix:
a= 2 5
4 -8
The sum of the elements in row 1 is:
The sum of the elements in column 2 is:
Answer:
The answer is as follows
1) 7
2) 3
3) 4
Answer:
7
-3
4
Step-by-step explanation:
HELP PLEASE PLEASE DUE TONIGHT !! Scores on the Wechsler Adult intelligence Scale (a Standard IQ test) for certain age group are
normally distributed with mean = 100 and standard deviation o = 15. (Find the Z scorels for
each question first, and then use Table A-2 at the back of your book to find the following
probabilities)
a What percent of IQ scores are less than 122?
(4 points)
b What is the probability that a randomly selected adult in this age group has an IQ
score higher than 147? Is this a significant/unusual event? Explain? (5
points)
C
What percent of adults in this age group have IQs between 85 and 100? Is this
I significant/unusual event? Explain?
(5
points)
Tch
3
O
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w
HELP PLEASEEEEEEE!!!!!!
Answer: I think it is
x y
1 2
3 14
10 56
Step-by-step explanation:
So what I did is you take the 6 and multiply it by the x number then you subtract by 4
A corporation reported cash of $26,200, total assets of $457,000, and total equity of $156,630 on its balance sheet. Its common-size percent for cash equals:
Answer:
Common-size percent for cash = 5.73 % (Approx.)
Step-by-step explanation:
Given:
Total cash = $26,200
Total assets = $457,000
Total equity = $156,630
Find:
Common-size percent for cash
Computation:
Common-size percent for cash = [Total cash/Total assets]100
Common-size percent for cash = [26,200/457,000]100
Common-size percent for cash = 5.73 % (Approx.)
What expression represents the value of x?
the first one is correct
i can prove it but its hard on this app and it has a long solution
you can prove it by Thales law
hope this helps