Solve for n

X | Y
———————-|———————-
4 | 9
5 | 11
7 | n
9 | 19

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 )

Answer:

When x  =1, y = 3(1) + 4 = 7

When x = 2, y = 3(2) + 4 = 10

When x = 3, y = 3(3) + 4 = 13

Answer:

,square root of 15;3;4;square root of 21 ;square root of 24 ;5;6;square root of 40

Step-by-step explanation:

the square roots ain't perfect square so make them decimals to know which one is bigger

Answer:

x=27

Step-by-step explanation:

It’s a ratio:

9.9/11=x/30

cross multiply

11x=297

x=27

Answer: the answer is ddd

Step-by-step explanation:

The sum of the measures of the interior angles of a 20-sided figure is 3240.

What are Interior angles ?

An interior angle of a polygon is an angle that is created between two of the polygon's adjacent sides. The interior angle of a polygon is also known as the angle measured at the interior of a polygon.

the number of sides of given polygon is 20.

we know that, sum of the measures of the interior angles can be found by using formula : (n-2) × 180

where n= no. of sides of given polygon

So, sum of the measures of the interior angles of 20 sided figure :

     = (n-2) × 180

     = (20-2) × 180

     = 18 × 180

     = 3240 .

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For each t-shirt sold, which I'll call t, 8th grade makes $15.

For each hat sold, which I'll call h, 8th grades makes $5.

They want to raise $900

A: The equation to represent this situation is 15t+5h=900 because if 8th grade adds up all the profits from both hats and t-shirts, the goal is to make $900, so the total profit from shirts and hats should equal 900 dollars.

B: I'm just going to choose random numbers. Let's say nobody wanted to buy a hat from the 8th graders (h=0). You'd end up with

15t+5(0)=900

15t=900

t=60 - If they sold 0 hats they would have sold 60 shirts to raise $900

Now let's say it was the other way around - nobody wanted to buy t-shirts

15(0)=5h=900

5h=900

h=180 - If they sold 0 t-shirts they'd have to sell 180 hats to raise $900

Finally let's say they sold 30 t-shirts

15(30)+5h=900

450+5h=900

5h=450

h=90 - They'd have to sell 30 t-shirts and 90 hats to raise $900

Answer:

10,14,30-34,5

Step-by-step explanation:

Answer: It is 5

Have a good day :)

Answer:

R11 303

Step :

Find 11% of R12 700

R12 700 × 11/100

=R1 397

then substract the 11% from R12 700

R12 700 - R1 397

=R11 303

Step-by-step explanation:

The Science of Thought is the book

Answer:

6c+7 (c=8)

Step-by-step explanation:

6×8+7

48+7

do the addition answer will come

The value of the expression  6c + 7 at c =8 will be 55.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The value of the expression will be given as:-

E = 6c+7

Put (c=8) in the above expression

E =6×8+7

E = 48+7

E = 55

Therefore the value of the expression  6c + 7 at c =8 will be 55.

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Answer:

B .3 I m not sure about it but I think it's 3

Answer:

1440 different arrangements are possible.

Step-by-step explanation:

Number of arrangements of n elements:

The number of arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

In this question:

6 couples, in which each can be positioned in 2 ways(him/her or her/him). So

[tex]T = 2A_{6} = 2*6! = 1440[/tex]

1440 different arrangements are possible.

Answer:

4x^2 - 4x + 1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

sub everything

4(5)-3(2)(-3)=38

Answer:

7/8

Step-by-step explanation:

U have to use the highest common factor and the lowest common denominator

Answer:

[tex] \frac{7}{8} = 0.875 [/tex]

Step-by-step explanation:

devide the numerator and denumerator by nine

Answer:

W + 5

Step-by-step explanation:

Given a number, W

An increase in W by a constant 5 ; can be expressed as ;

W plus the constant value increase

Hence,

Increase in W by 5 equals ;

W + 5

Answer:

Step-by-step explanation:

A regular polygon is a polygon that is both equiangular and equilateral. All sides are equal length placed around a common center so that all angles between sides are also equal. When the number of sides, n, is equal to 3 it is an equilateral triangle and when n = 4 is is a square.

Answer:

answer is 3 1/2

Step-by-step explanation:

Answer:

18/5 yard or 3 3/5 yard

Step-by-step explanation:

Length of fabric needed for 1 costume = 3/5 yard

Length of fabric needed for 6 costumes = (3/5)*6

= 18/5 yard

= 3 3/5 yard

Answer:

$123.66

Step-by-step explanation:

53 divided by 3 is 17.66, which is how much one ticket will cost. 17.66 multiplied by 7 is 123.66

Answer:

1/6

Step-by-step explanation:

The die is rolled once, so it is 1 out of the total number on the die ie 6, as a die has only faces or sides so its obvious out of these 6 faces only one will show.

Answer:

117 soda cans

Step-by-step explanation:

First find the volume of the soda can and box.

box V= l * w * h

box V= 15* 8 * 23

box V= 2,760 in²

can V= πr²h

can V= π(2.5/2)²*4.8

can V= 23.56

box V/ can V

2,760/23.56 = 117.15

you can only round down so 117 cans

Answer:

x=9, -9

Step-by-step explanation:

Use difference of squares to the denominator.

so

[tex]\frac{x^2+4x+3}{(x+9)(x-9)}[/tex]

If you plug 9 or -9 for x, the denominator becomes 0, meaning that the value would be undefined. Thus, if would not be in the domain of g.

So, x=9, -9

Answer:

I might be wrong but since ur in a rush: 173

Step-by-step explanation:

Answer:

287.25 miles in 5.75 hours

Step-by-step explanation:

so he was first driving at 48mph because 168/3.5=48

5 miles per hour faster than that is 53mph

53*2.25=119.25

then we add 119.25 and 168

Step-by-step explanation:

1. x^2 + 10x + 25

2. x^2 - 25

.........

Answer:

Step-by-step explanation:

1. x^2 + 10x + 25

2. x^2 - 25

3. x^3 + 15x^2 + 75x + 125

4. x^2 + 2xy + 2xz + y^2 + 2yz + z^2