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Svetradugi [14.3K]
3 years ago
9

Nathan has three pieces of wood the first is 9.8 feet in length the second is 7.5 feet in length and the third is 12 feet in len

gth he uses 5.2 feet from the first piece and 6.1 feet from the second piece and does not use a third he's avoid how many feet of wood does nathan not use
Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0
9.4 Ft for the first one

7.5 Ft for the second piece

12 Ft for the Third

he uses 5.2 Ft from the first piece of wood so 9.4 - 5.2= 4.6ft
he uses 6.1 ft from the second piece of wood , 7.5 - 6.1 = 1.4 ft
Nathan didnt use any of the 3rd piece of wood , so he still have 12 Feet of wood remaining so, 12+4.6+1.4 = 18 feet of wood left that he didnt use. 
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Which table has a constant of proportionality between y and x of 1/5? (from khan academy)
katovenus [111]

Answer:

C

Step-by-step explanation:

Solve for each choice until you get the answer 1/5.

A.

2 - 4/5

10/5 - 4/5 = 6/5; this is not 1/5

B

8 - 8/5

40/5 - 8/5 = 32/5; this is not 1/5

C

3 - 16/5

15/5 - 16/5 = -1/5

5 - 26/5

25/5 - 26/5 = -1/5

7 - 36/5

35/5 - 36/5 = -1/5; although this is negative, it still has the same proportionality of 1/5

6 0
2 years ago
Dy/dx= y^4 and y(2)= -1. Y(-1)=
cupoosta [38]

It looks like you're asked to find the value of y(-1) given its implicit derivative,

\dfrac{dy}{dx} = y^4

and with initial condition y(2) = -1.


The differential equation is separable:

\dfrac{dy}{y^4} = dx

Integrate both sides:

\displaystyle \int \frac{dy}{y^4} = \int dx

-\dfrac1{3y^3} = x + C

Solve for y :

\dfrac1{3y^3} = -x + C

3y^3 = \dfrac1{-x+C} = -\dfrac1{x + C}

y^3 = -\dfrac1{3x+C}

y = -\dfrac1{\sqrt[3]{3x+C}}

Use the initial condition to solve for C :

y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5

Then the particular solution to the differential equation is

y(x) = -\dfrac1{\sqrt[3]{3x-5}}

and so

y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}

6 0
2 years ago
Complete the missing value/help?
blagie [28]

What it is basically asking is if Y = -4, find the value of x in the equation 6x + 7y = 4x + 4y

To solve this you just need to plug in -4 for y and solve for x

6x + 7(-4) = 4x + 4(-4)

6x - 28 = 4x - 16

Now isolate x by adding 28 to both sides

6x - 28 + 28 = 4x - 16 + 28

6x = 4x + 8

and subtract 4x from both sides

6x - 4x = 4x - 4x + 8

2x = 8

divide both sides by 2

2/2x = 8/2

x = 4

x = 4, y = -2

Answer: (4, - 2)

Hope it helps :)

Bransliest would be appreciated

5 0
2 years ago
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dimulka [17.4K]

Answer:

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3 0
2 years ago
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