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kicyunya [14]
3 years ago
15

Whoever gets it right gets brainlyess answers :)

Mathematics
2 answers:
Alecsey [184]3 years ago
6 0
Shouldnt it be like 150 idk

natali 33 [55]3 years ago
3 0
Thats correct its 150
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Which values represent solutions to Cosine (StartFraction pi Over 4 EndFraction minus x) = StartFraction StartRoot 2 EndRoot Ove
ddd [48]

Answer:

End fraction right brace

Step-by-step explanation:

I really hope I helped GL <33!

6 0
3 years ago
A home improvement contractor is painting the walls and ceiling of a rectangular room. The volume of the room is 1584 cubic feet
liq [111]

Answer:

The room dimensions that will minimize the cost of the paint are 12 ft x 12 ft x 11 ft.

Step-by-step explanation:

We can find first the volume equation using the formula of the volume of a box.

V= xyz

Thus we get the constraint function

1584 = xyz

Then since we are asked to minimize the cost, we can write the cost function which is the area of each one of the walls and ceiling multiplied by the painting cost.

C=0.11 xy+ 2(0.06)xz+2(0.06yz \\ C =0.11 xy+0.12xz+0.12yz

Lagrange Multipliers to find minimum cost.

We can continue finding the partial derivatives to build the system of equations required for Lagrange Multipliers method.

C_x=\lambda V_x \\ C_y = \lambda V_y \\ C_z = \lambda V_z

And the constraint function

xyz=1584

So we get

0.11y+0.12z=\lambda yz \\ 0.11x+0.12z=\lambda xz \\ 0.12x+0.12y=\lambda xy\\ xyz=1584

We can multiply each side of each equation by the dimension which is missing to get the full volume on the right side.

0.11xy+0.12xz=\lambda xyz \\ 0.11xy+0.12yz=\lambda xyz \\ 0.12xz+0.12yz=\lambda xyz

Then we can set each the equations equal to each other, so from the first one and the second equation we get

0.11xy+0.12xz= 0.11xy+0.12yz

We can subtract 0.11xy from both sides.

0.12xz=0.12yz

And we can divide both sides by 0.12z to get

x=y

We can repeat the process by setting the first and third equation equal to each other.

0.11xy+0.12xz= 0.12xz+0.12yz

We can subtract 0.12 xz from both sides

0.11xy=0.12yz

And we can solve by z

z= \cfrac{0.11x}{0.12}\\ z = \cfrac{11x}{12}

So if we replace that as well y = x on the constraint for the volume euqation we get

1584=x(x)\left(\cfrac{11}{12}x\right) \\ 1584=\cfrac{11}{12}x^3

We can then solve for x

x^3 = \cfrac{1584(12)}{11}

And taking the cube root

x = \sqrt[3]{\cfrac{1584(12)}{11}}

x = \sqrt[3]{1728}

x=12 ft

So then we can use the equations we have found for y and z in terms of x

y = x \\ y = 12 ft

And

z= \cfrac{11x}{12}\\z= \cfrac{11(12)}{12} \\ z=11ft

Then the dimensions of the room that will minimize the cost are 12ft x 12 ft x 11 ft. Since you have to enter using commas you can write 12, 12, 11, please check as well if you have to insert the units that are feet for each.

5 0
3 years ago
I need help can I have how to do it and some work so I can do it.
tiny-mole [99]

Answer:

(-1,-2) OR x = -1 and y = -2

Step-by-step explanation:

y = 3x + 1

y = -x -3

so you would first multiply everything on y = -x -3 by 3 and get 3y = -3x -9

so then you would add 3y = -3x -9 to y = 3x + 1 (<u> to eliminate the x</u> )which would be 4y = -8 then divide by 4 and get  <u><em>y = -2</em></u>

then you plug in y = -2 into any one of the equations but to make it easier i am going to plug it into y = -x -3 so now it would be -2 = -x - 3 then, add 2 to both sides which would be 0 = -x -1 then add 1 to both side 1 = -x then multiply both sides by -1 and get <u><em>x = -1</em></u>

<u><em>SO your answer would be </em></u> (-1,-2) OR x = -1 and y = -2 ( both of them are correct but it depends on what the teacher taught you)

5 0
2 years ago
PLZ HELP WILL GIVE BRAINILST IF CORECCT
Mashutka [201]

Answer:

5.00

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write the following products using exponential notation. Ex,. 2x2x2 = 2 (p of 3)
kramer
1) = 7 (to the power of 4)

2) = b (to the power of 2)

3) = 3 (to the power of 5)

4) = -2 (to the power of 5)
4 0
3 years ago
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