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3 years ago

To add or subtract linear expressions, combine _______ terms. What is the answer to the first example?

Mathematics

1 answer:

just olya [345]3 years ago

6 0

The answer is “like” terms.

You add common terms together to get variables by themselves.

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(6) (Bonus question: worth 10 points. Total points for assignment not to exceed 100.) Use an iterated integral to compute the vo

kipiarov [429]

Let $R$ be the ellipsoid with equation

$\left(\dfrac xa\right)^2+\left(\dfrac yb\right)^2+\left(\dfrac zc\right)^2=1$

so that the volume of $R$ is given by the triple integral

$\displaystyle\iiint_R\mathrm dV$

Consider the augmented spherical coordinates given by the identities

$\begin{cases}x=ar\cos u\sin v\\y=br\sin u\sin v\\z=cr\cos v\end{cases}$

Computing the Jacobian, we find that the volume element is given by

$\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=abcr^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv$

so that the volume integral can be written as

$\displaystyle\iiint_R\mathrm dV=abc\int_{v=0}^{v=\pi}\int_{u=0}^{u=2\pi}\int_{r=0}^{r=1}r^2\sin v\,\mathrm dr\,\mathrm du\,\mathrm dv=\frac{4abc\pi}3$

8 0

2 years ago

The measure of an angle is 14.2°. What is the measure of its complementary angle

grigory [225]

Complementary angles are the angles whose sum makes 90 degrees. According to the question, the other angle is 14.2 degrees more than the complementary angle. Therefore, 14.2° will be added to the other angle.

7 0

2 years ago

Read 2 more answers

On Tuesday, Karen finished all her chores in 3/4 of an hour. On Wednesday, she finished her chores in 5/12 of an hour. How much

IRISSAK [1]

1 hour = 60 minutes

Tuesday: 60 divided by 4 = 15. Karen did it 3/4 of a hour so we multiply 15 by 4 which is 45. 45 equals 45 minutes. On Tuesday, Karen finished her chores in 45 minutes

Wednesday: first we divide 60 by 12 which is 5. 5 would equal 5 minutes. now we multiply 5 by 5 which is 25. Karen finished her chores in 25 minutes.

Answer: Karen finished her chores 20 minutes faster on Wednesday than Tuesday.

Hope this helps!

3 0

2 years ago

Triangle ABC has vertices A(–1, 0), B(4, 0), and C(2, 6). If ΔABC is translated using the function rule (x, y) → (x – 6, y – 5)

Elina [12.6K]

Answer:

b. A''(7, 5), B''(2, 5), C''(4, –1)

Step-by-step explanation:

Given vertices of ΔABC:

A = (-1, 0)
B = (4, 0)
C = (2, 6)

Translation <u>mapping rule</u>:

(x, y) → (x – 6, y – 5)

Therefore:

A' = (-1 - 6, 0 - 5) = (-7, -5)
B' = (4 - 6, 0 - 5) = (-2, -5)
C' = (2 - 6, 6 - 5) = (-4, 1)

Rotation of 180° clockwise rule:

(x, y) → (-x, -y)

Therefore:

A'' = (-7, -5) = (7, 5)
B'' = (-2, -5) = (2, 5)
C'' = (-4, 1) = (4, -1)

Learn more about transformations here:

brainly.com/question/28354239

brainly.com/question/27743837

5 0

1 year ago

A project has an initial cost of $60,000, expected net cash inflows of $14,000 per year for 9 years, and a cost of capital of 14

vredina [299]

Answer:

Step-by-step explanation:

60,000 + 14,000

ANS 14%

ANSWER: 74

6 0

3 years ago