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2 years ago

Which group was NOT one of the barbarian tribes that invaded the late Roman Empire?

Advanced Placement (AP)

1 answer:

Sever21 [200]2 years ago

8 0

Answer:

Many of the groups that attacked and invaded the Roman Empire were Germanic tribes from Northern Europe. Goths - One of the most powerful and organized groups of barbarians were the Goths. The Goths were divided into two major branches: the Visigoths and the Ostrogoths.

Explanation:

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Slope integrals for calculus, having trouble need all the help I can get

Harlamova29_29 [7]

(1) The integral is straightforward; x ranges between two constants, and y ranges between two functions of x that don't intersect.

$\displaystyle\int_{-2}^1\int_{-x}^{x^2+2}\mathrm dy\,\mathrm dx$

(2) First find where the two curves intersect:

y ² - 4 = -3y

y ² + 3y - 4 = 0

(y + 4) (y - 1) = 0

y = -4, y = 1 → x = 12, x = -3

That is, they intersect at the points (-3, 1) and (12, -4). Since x ranges between two explicit functions of y, you can capture the area with one integral if you integrate with respect to x first:

$\displaystyle\int_{-4}^1\int_{y^2-4}^{-3y}\mathrm dx\,\mathrm dy$

(3) No special tricks here, x is again bounded between two constants and y between two explicit functions of x.

$\displaystyle\int_1^5\int_0^{\frac1{x^2}}\mathrm dy\,\mathrm dx$

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2 years ago

You can directly attribute your promotion to your impressive professional accomplishments

love history [14]

Answer:

True

Explanation:

Interestingly, in the professional work environment, a person's professional accomplishments like how much they have saved a company, the goals he or she has over-archived, etc can directly attribute an individual's promotion.

This is because companies use professional accomplishments to measure their employee's worth.

6 0

2 years ago

Movement affects the global economy in all the following ways EXCEPT

Yuliya22 [10]

What are the choices?

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2 years ago

Which of the following pairs of angles is not necessarily congruent

Alex

Answer:

E. $\angle 3$ and $\angle 5$ .

Explanation:

According to the figure, we have the following conclusions:

1) $\angle 1$ and $\angle 2$ are vertical opposite angles. ( $m \angle 1 = m \angle 2$ )

2) $\angle 2$ and $\angle 3$ are internal alternate angles. ( $m \angle 2 = m\angle 3$ )

3) $\angle 2$ and $\angle 4$ are corresponding angles. ( $m\angle 2 = m\angle 4$ )

4) $\angle 3$ and $\angle 4$ are vertical opposite angles. ( $m \angle 3 = m \angle 4$ )

But, $\angle 3$ and $\angle 5$ , since $m \angle 3 + m\angle 6 + m\angle 5 = 180^{\circ}$ , where $\angle 3$ is an acute angle and $\angle 6$ is a right angle, and $m \angle 4 + m \angle 5 = 90^{\circ}$ . Then,