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3 years ago

What is the difference in length between the longest meteor and the shortest meteor

Mathematics

2 answers:

melisa1 [442]3 years ago

7 0

Answer:

If this is the same question the answer is 3 1/3

Step-by-step explanation:

Bumek [7]3 years ago

5 0

Answer:

Please show the full problem

Step-by-step explanation:

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Describe two ways to write equivalent algebraic expressions

Zolol [24]

Answer:

See below.

Step-by-step explanation:

An example would be:

3x^2 + 6

and

3(x^2 + 2) .

The second way is found by dividing the first one by 3).

5 0

3 years ago

Chef Antonio works at a Latin restaurant and doing a great job. During his yearly evaluation, the owner increased his salary fro

KonstantinChe [14]

Answer:

Step-by-step explanation:

To find the percent change, we first have to find the amount changed, which is (46000-42500) = 3500. Then, we find what percentage that is of the original amount. Remember that when calculating percentage change, it's important to calculate change with respect to the initial value.

To find the percentage, we can divide 3500 by 42500, and multiply that by 100, resulting in 8 being our nearest whole percent

7 0

3 years ago

Find the mass of the lamina that occupies the region D = {(x, y) : 0 ≤ x ≤ 1, 0 ≤ y ≤ 1} with the density function ρ(x, y) = xye

Alona [7]

Answer:

The mass of the lamina is 1

Step-by-step explanation:

Let $\rho(x,y)$ be a continuous density function of a lamina in the plane region D,then the mass of the lamina is given by:

$m=\int\limits \int\limits_D \rho(x,y) \, dA$ .

From the question, the given density function is $\rho (x,y)=xye^{x+y}$ .

Again, the lamina occupies a rectangular region: D={(x, y) : 0 ≤ x ≤ 1, 0 ≤ y ≤ 1}.

The mass of the lamina can be found by evaluating the double integral:

$I=\int\limits^1_0\int\limits^1_0xye^{x+y}dydx$ .

Since D is a rectangular region, we can apply Fubini's Theorem to get:

$I=\int\limits^1_0(\int\limits^1_0xye^{x+y}dy)dx$ .

Let the inner integral be: $I_0=\int\limits^1_0xye^{x+y}dy$ , then

$I=\int\limits^1_0(I_0)dx$ .

The inner integral is evaluated using integration by parts.

Let $u=xy$ , the partial derivative of u wrt y is

$\implies du=xdy$

and

$dv=\int\limits e^{x+y} dy$ , integrating wrt y, we obtain

$v=\int\limits e^{x+y}$

Recall the integration by parts formula: $\int\limits udv=uv- \int\limits vdu$

This implies that:

$\int\limits xye^{x+y}dy=xye^{x+y}-\int\limits e^{x+y}\cdot xdy$

$\int\limits xye^{x+y}dy=xye^{x+y}-xe^{x+y}$

$I_0=\int\limits^1_0 xye^{x+y}dy$

We substitute the limits of integration and evaluate to get:

$I_0=xe^x$

This implies that:

$I=\int\limits^1_0(xe^x)dx$ .

$I=\int\limits^1_0xe^xdx$ .

We again apply integration by parts formula to get:

$\int\limits xe^xdx=e^x(x-1)$ .

$I=\int\limits^1_0xe^xdx=e^1(1-1)-e^0(0-1)$ .

$I=\int\limits^1_0xe^xdx=0-1(0-1)$ .

$I=\int\limits^1_0xe^xdx=0-1(-1)=1$ .

No unit is given, therefore the mass of the lamina is 1.

3 0

3 years ago

What the perimeter is ?

tigry1 [53]

Answer:

the perimeter is the total length of that plane figure

5 0

2 years ago

What is the equation of the line that passes through the points (-1,3) and (1,11)?

marta [7]

Answer:

y=4x+7

Step-by-step explanation:

You can find the slope of the line by using the formula of change and y over change in x. ∆y/∆x OR (y2-y1)/(x2-x1)

11-3=8

1--1=2

8/2=4

Let's plug in a y value 3.

3=4*-1+b

b=7

Once you found b rewrite your equation in slope intercept form.

y=4x+7

You can check this equation by plugging in the unused coordinate (1,11) and find it balances.

7 0

3 years ago

What is the difference in length between the longest meteor and the shortest meteor ​

What is the difference in length between the longest meteor and the shortest meteor