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2 years ago

7.4 Centimeters to kilometers

Mathematics

1 answer:

Ket [755]2 years ago

7 0

Answer:

.00074 km

Step-by-step explanation:

7.4 cm * 1 m * 1km =7.4/100/100=.00074

100 cm 100m

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8× what =2

sergejj [24]

Answer:

8*1/4= 2

A) 0.071

B) 0.48

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3 years ago

What is the inverse of the function f(x) = 2x + 1?

Alexandra [31]

Answer:

$f^{-1}$ (x) = $\frac{x-1}{2}$

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2 ( divide both sides by 2 )

$\frac{y-1}{2}$ = x

Change y back into terms of x and let x = $f^{-1}$ (x), thus

$f^{-1}$ (x ) = $\frac{x-1}{2}$

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3 years ago

7 = -x+3. Consider the line y = Find the equation of the line that is parallel to this line and passes through the point (-5, 6)

artcher [175]

Answer with explanation:

The equation of line is, y= -x +3

→x+y-3=0---------(1)

⇒Equation of line Parallel to Line , ax +by +c=0 is given by, ax + by +K=0.

Equation of Line Parallel to Line 1 is

x+y+k=0

The Line passes through , (-5,6).

→ -5+6+k=0

→ k+1=0

→k= -1

So, equation of Line Parallel to line 1 is

x+y-1=0

⇒Equation of line Perpendicular to Line , ax +by +c=0 is given by, bx - a y +K=0.

Equation of Line Perpendicular to Line 1 is

x-y+k=0

The Line passes through , (-5,6).

→ -5-6+k=0

→ k-11=0

→k= 11

So, equation of Line Parallel to line 1 is

x-y+11=0

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2 years ago

Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F =

xxMikexx [17]

For $F$ to be conservative, we need to have

$\dfrac{\partial f}{\partial x}=\cos z$

$\dfrac{\partial f}{\partial y}=10y$

$\dfrac{\partial f}{\partial z}=-x\sin z$

Integrate the first PDE with respect to $x$ :

$\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)$

Differentiate with respect to $y$ :

$\dfrac{\partial f}{\partial y}=10y=\dfrac{\partial g}{\partial y}\implies g(y,z)=5y^2+h(z)$

Now differentiate $f$ with respect to $z$ :

$\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

So we have

$f(x,y,z)=x\cos z+5y^2+C$

so $F$ is indeed conservative.

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3 years ago

James has a balance of $1,230 on his credit card that has an APR of 24%. He currently pays the minimum monthly payment of $30.75

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Answer:

Step-by-step explanation:

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3 years ago

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