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EastWind [94]
2 years ago
12

Need help please i will give you five stars if you hlep

Mathematics
2 answers:
stepan [7]2 years ago
4 0

Answer:

96 inches

Step-by-step explanation:

There a 12 inches in a foot, so if there is 8ft then you multiply by 12 to get your answer

8*12=96

Rainbow [258]2 years ago
3 0

Answer:

96 inches

Step-by-step explanation:

We can write a proportion to solve

60 inches          x inches

--------------- = -------------

5 ft                       8 ft

Using cross products

60 *8 = 5x

480 = 5x

Divide by 5

480/5 = 5x/5

96 = x

96 inches

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Use the Chain Rule (Calculus 2)
atroni [7]

1. By the chain rule,

\dfrac{\mathrm dz}{\mathrm dt}=\dfrac{\partial z}{\partial x}\dfrac{\mathrm dx}{\mathrm dt}+\dfrac{\partial z}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}

I'm going to switch up the notation to save space, so for example, z_x is shorthand for \frac{\partial z}{\partial x}.

z_t=z_xx_t+z_yy_t

We have

x=e^{-t}\implies x_t=-e^{-t}

y=e^t\implies y_t=e^t

z=\tan(xy)\implies\begin{cases}z_x=y\sec^2(xy)=e^t\sec^2(1)\\z_y=x\sec^2(xy)=e^{-t}\sec^2(1)\end{cases}

\implies z_t=e^t\sec^2(1)(-e^{-t})+e^{-t}\sec^2(1)e^t=0

Similarly,

w_t=w_xx_t+w_yy_t+w_zz_t

where

x=\cosh^2t\implies x_t=2\cosh t\sinh t

y=\sinh^2t\implies y_t=2\cosh t\sinh t

z=t\implies z_t=1

To capture all the partial derivatives of w, compute its gradient:

\nabla w=\langle w_x,w_y,w_z\rangle=\dfrac{\langle1,-1,1\rangle}{\sqrt{1-(x-y+z)^2}}}=\dfrac{\langle1,-1,1\rangle}{\sqrt{-2t-t^2}}

\implies w_t=\dfrac1{\sqrt{-2t-t^2}}

2. The problem is asking for \frac{\partial z}{\partial x} and \frac{\partial z}{\partial y}. But z is already a function of x,y, so the chain rule isn't needed here. I suspect it's supposed to say "find \frac{\partial z}{\partial s} and \frac{\partial z}{\partial t}" instead.

If that's the case, then

z_s=z_xx_s+z_yy_s

z_t=z_xx_t+z_yy_t

as the hint suggests. We have

z=\sin x\cos y\implies\begin{cases}z_x=\cos x\cos y=\cos(s+t)\cos(s^2t)\\z_y=-\sin x\sin y=-\sin(s+t)\sin(s^2t)\end{cases}

x=s+t\implies x_s=x_t=1

y=s^2t\implies\begin{cases}y_s=2st\\y_t=s^2\end{cases}

Putting everything together, we get

z_s=\cos(s+t)\cos(s^2t)-2st\sin(s+t)\sin(s^2t)

z_t=\cos(s+t)\cos(s^2t)-s^2\sin(s+t)\sin(s^2t)

8 0
3 years ago
A recipe that yields 12 cups of soup calls for 28 ounces of beef broth how many ounces of beef broth do you need to make 18 cups
Genrish500 [490]

Answer:

42

Step-by-step explanation:

for one cup 28/12

for 18 cup,

(28/12)×18

=42

6 0
2 years ago
The length of a rectangle is shown below: On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis two
Degger [83]

9514 1404 393

Answer:

  3.  C(−1, −5), D(2, −5)

Step-by-step explanation:

The given points are 2 -(-1) = 3 units apart horizontally, so the remaining points will need to be 18/3 = 6 units below, vertically. Translating the given points down 6 gives ...

  D = A -(0, 6) = (2, 1) -(0, 6) = (2, -5)

  C = B -(0, 6) = (-1, 1) -(0, 6) = (-1, -5)

The two points required to make a rectangle with an area of 18 square units are ...

  C(-1, -5), D(2, -5)

_____

The area of a rectangle is the product of length and width. If the area is 18 square units, and the width is 3 units, then the length must be 6 units. 3×6=18.

5 0
2 years ago
Can someone please help me
aniked [119]
#1 √ 75

Answer : 5√3 or ≈ 8.66025

#2 √ 48

Answer : 4√3 or ≈ 6.9282

#3 √ 128

Answer : 8√2 or ≈ 11.31371

#4 √ 300

Answer : 10√3 or ≈ 17.32051

~~

#5 √⅔

Answer :

\frac{ \sqrt{6} }{3} = 0.816497

#6 √16/4

Answer : 2

#7 √ 6/8

Answer :

\frac{ \sqrt{3} }{2} = 0.866025

#8 √27/9

Answer : √ 2 or ≈ 1.73205

~~

I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
5 0
3 years ago
The fifth,ninth and sixteenth term of a Linear sequence are the consecutive term of an exponential sequence. Find the common dif
Sunny_sXe [5.5K]

Answer:

vfbg

Step-by-step explanation:

8 0
3 years ago
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