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3 years ago

How do you write 0.28 as a percentage

Mathematics

2 answers:

Anna35 [415]3 years ago

6 0

The way to write 0.28 as percentage is 28%

Effectus [21]3 years ago

3 0

Multiply by 100, 28%

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How do you use theorems about triangles to solve problems???

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Explanation:

Theorems about triangles identify relationships that can be used to formulate equations that can be used in the problem-solving process.

The idea with problem solving is to start with what you know, and make use of the relationships between that and what you don't know in order to find a solution.

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3 years ago

What is the value for y in the following expression y=-2x+8 when x=20

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Step-by-step explanation:

$y=-2x+8\\\\x=20$

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$y =-2(20 )+8\\\\y = -40+8\\\\y = -32$

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3 years ago

Find the work required to move an object in the force field F = e^x + y (1, 1, z) along the straight line from A(0, 0, 0) to B(-

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$\vec F(x,y,z)=(e^x+y)(1,1,z)$

is conservative if we can find a scalar function $f$ such that $\nabla f=\vec F$ . This would require

$f_x=e^x+y$

$f_y=e^x+y$

$f_z=(e^x+y)z$

Integrating both sides of the first equation wrt $x$ gives

$f(x,y,z)=e^x+xy+g(y,z)$

Differentiating both sides of this wrt $y$ gives

$f_y=x+g_y=1\implies g_y=1-x\implies g(y,z)=y-xy+h(z)$

but we assumed $g$ was a function of $y$ and $z$ , independent of $x$ . So there is no such $f$ and $\vec F$ is not conservative.

To find the work, first parameterize the path (call it $C$ ) by

$\vec r(t)=(1-t)(0,0,0)+t(-4,5,-5)=(-4t,5t,-5t)$

for $0\le t\le1$ . Then

$\vec r'(t)=(-4,5,-5)$

and the work is given by the line integral,

$W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt$

$W=\displaystyle\int_0^1(125t^2+5t+(25t+1)e^{-4t})\,\mathrm dt=\boxed{\frac{2207}{48}-\frac{129}{16e^4}}$

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3 years ago