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3 years ago

Which statement is true? −6.5=6.55 −6.5≥6.55 −6.5>6.55 −6.5<6.55

Mathematics

1 answer:

posledela3 years ago

3 0

Answer: 6.5<6.55

Step-by-step explanation: Because you add the zero to the 6.50 but it’s still less than 6.55.

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Consider the force field and circle defined below.

grin007 [14]

By Green's theorem,

$\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy$

where $C$ is the circle $x^2+y^2=9$ and $D$ is the interior of $C$ , or the disk $x^2+y^2\le1$ .

Convert to polar coordinates, taking

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$

Then the work done by $\vec F$ on the particle is

$\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0$

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3 years ago

Matthew drove 74 miles in 2 hours. On average, how fast did he drive in hours per mile? Express your answer in simplest form.

jonny [76]

Answer: 37

Step-by-step explanation: Since you drove 74 miles in 2 hours, you would divide 74 by 2 to find the miles per hour, which would be 37.

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3 years ago

Describe different situations in the real world that could be modeled and solved by a system of equations in two variables.

andrey2020 [161]

solved by a system of equations in two variables.

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2 years ago

Which parent function is f(x) = |x|?

Levart [38]

Answer:

B. The absolute value parent function

Step-by-step explanation:

$f(x)=|x|$

Referred to as absolute value, the value inside the bars is measured in terms of its distance from 0. Therefore:

$|0|=0\\|3|=3\\|-3|=3$

In essence, a negative value within the bars becomes positive, while a positive value remains positive.

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3 years ago

Write and solve an equation for the relationship described below. Four times a number plus three is the same as five plus the nu

dsp73

<span>Answer: 4*x+3=5+x
Explanation: four times a number means 4*x plus three means 4*x+3 is the same as which means = five plus the number which is 5+x </span>

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3 years ago