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3 years ago

HELP ME PLSSSSSSSSS NO RANDOM C R A P! I NEED ANSWERS!!!!!

Mathematics

1 answer:

miv72 [106K]3 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

1. Up 2

2. stretched by a factor of 2

3. left 2

4. right 2

5. stretched by a factor of 2 and reflected over the y-axis

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Convert 3/5 into a fraction with a denominator of 20: 06/20 O 12/20 5/20 3/20

Yanka [14]

The correct answer is 12/20.

If you multiply the numerator and the denominator of 3/5 by 4/4:

3•4 = 12
————-
5•4 = 20

Therefore, the equivalent of 3/5 is 12/20.

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Westkost [7]

Answer:

1: $11

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3: $128.57

Step-by-step explanation:

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A set of furniture was sold for GH cedis 3000 at a profit of 25%. Find the cost price.

Sindrei [870]

Answer:

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3 years ago

Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D is the trian

Alla [95]

Answer: mass (m) = 4 kg

center of mass coordinate: (15.75,4.5)

Step-by-step explanation: As a surface, a lamina has 2 dimensions (x,y) and a density function.

The region D is shown in the attachment.

From the image of the triangle, lamina is limited at x-axis: 0≤x≤2

At y-axis, it is limited by the lines formed between (0,0) and (2,1) and (2,1) and (0.3):

Points (0,0) and (2,1):

y = $\frac{1-0}{2-0}(x-0)$

y = $\frac{x}{2}$

Points (2,1) and (0,3):

y = $\frac{3-1}{0-2}(x-0) + 3$

y = -x + 3

Now, find total mass, which is given by the formula:

$m = \int\limits^a_b {\int\limits^a_b {\rho(x,y)} \, dA }$

Calculating for the limits above:

$m = \int\limits^2_0 {\int\limits^a_\frac{x}{2} {2(x+y)} \, dy \, dx }$

where a = -x+3

$m = 2.\int\limits^2_0 {\int\limits^a_\frac{x}{2} {(xy+\frac{y^{2}}{2} )} \, dx }$

$m = 2.\int\limits^2_0 {(-x^{2}-\frac{x^{2}}{2}+3x )} \, dx }$

$m = 2.\int\limits^2_0 {(\frac{-3x^{2}}{2}+3x)} \, dx }$

$m = 2.(\frac{-3.2^{2}}{2}+3.2-0)$

m = 2(-4+6)

m = 4

Mass of the lamina that occupies region D is 4.

Center of mass is the point of gravity of an object if it is in an uniform gravitational field. For the lamina, or any other 2 dimensional object, center of mass is calculated by:

$M_{x} = \int\limits^a_b {\int\limits^a_b {y.\rho(x,y)} \, dA }$