The first step in solving 5 = 2 + is to subtract 2 from both sides of the equation.

Help do odds except 17

Ksju [112]

Answer:

19. 1 do 4^5 which is 1024 then do 1024^0 which is 1

21. 0.000064 do 5^-2 which is 0.04 then do 0.04^3 which is 0.000064

23. 2.33 do 9^4 which is 6561 then do 6561^-2 which is 2.32305731 so you round it to 2.33

btw you should talk to me more

8 0

3 years ago

Find the equation of the straight line which passes through (3,5) and makes y-inte r-intercept.

elixir [45]

Answer:

Please restate your question.

It needs the y-intercept to be decipherable.

Step-by-step explanation:

6 0

3 years ago

Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinat

tensa zangetsu [6.8K]

Answer:

The volume of the largest rectangular box (V) = 81/4

Step-by-step explanation:

Step 1:-

Given volume of the largest rectangular box in the first octant

V = l b h

let (x ,y, z) be the one vertex in the given plane

V = f(x, y, z) = x y z

given plane. Ф (x, y, z) = x + 9y + 4z = 27 ........(1)

Step( ii):

By using Lagrange multipliers

Suppose it is required to find the extreme for the function f(x, y, z) subject to the condition Ф (x, y, z) =0

Form Lagrange function F(x, y, z) = f(x, y, z) + λ Ф (x, y, z) where λ is called the Lagrange multipliers

F(x, y, z) = x y z+ λ ( x + 9y + 4z - 27) ......(2)

Obtain the equations are δ F / δ x = 0

δ f / δ x +λ δ Ф / δ x =0

⇒ y z + λ ( 1) = 0

⇒ y z = - λ ......(a)

Obtain the equations are δ F / δ y = 0

δ f / δ x +λ δ Ф / δ x =0

⇒ x z + λ ( 9) = 0

⇒ $\frac{xz}{9}$ = - λ .......(b)

Obtain the equations are δ F / δ z = 0

δ f / δ x +λ δ Ф / δ z =0

x y + λ ( 4) = 0

⇒ $\frac{xy}{4}$ = - λ .......(c)

Step (iii):-

Equating (a) and (b) equations

we get $y z = \frac{xz}{9}$

cancel 'z' value we get x = 9y .......(d)

Equating (b) and (c) equations

we get $\frac{xy}{4} = \frac{xz}{9}$

cancel 'x' value on both sides , we get

4z =9y ......(e)

substitute (d) (e) values in equation (1) we get

x + 9y + 4z -27 = 0

9y + 9y + 9y -27 =0

27y -27 =0

y = 1

substitute y =1 in x = 9y

x = 9

substitute y =1 in 4z =9y

z = 9 /4

therefore the dimensions are x =9 , y=1 and z = 9 /4

Conclusion:-

The largest volume of the rectangular box V = x y z

substitute x =9 , y=1 and z = 9 /4

V = 9(1)(9/4) =81/4

The largest volume of the rectangular box (V) = 81/4

Verification :-

Given plane x + 9y + 4z = 27

substitute x =9 , y=1 and z = 9 /4

9 + 9 + 4(9/4) = 27

27 =27

so satisfied equation

3 0

3 years ago

The introductory biology class at State University is conducting a study of water quality in their local community. The populati

kakasveta [241]

Answer

See the attached files for details.

Step-by-step explanation:

Can you read DVI or PS files?

Download pdf

pdf

8 0

3 years ago

A countrys people consume 6.7 billion pounds of candy per year. Express this quantity in terms of pounds per month. Note that th

Vanyuwa [196]

The answer is 2 candies per person per month

(1) Find the amount of candy consumed per person per year:
6 700 000 000 ÷ 305 000 000 = 21.97 candies per person per year

(2) Find the amount of candy consumed per person per month:
1 year has 12 months.
21.97 candy per person per year ÷ 12 = 1.83 ≈ 2 candies per person per month

8 0

3 years ago