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3 years ago

Segment QS bisects m

Mathematics

1 answer:

Igoryamba3 years ago

5 0

Answer:

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Electric charge is distributed over the rectangle 2 ≤ x ≤ 4, 0 ≤ y ≤ 2 so that the charge density at (x, y) is σ(x, y) = 2xy + y

dybincka [34]

Answer:

The total charge on the rectangle is 29.33C

Step-by-step explanation:

Given

σ(x, y) = 2xy + y²

For 2 ≤ x ≤ 4, 0 ≤ y ≤ 2

The total charge on the rectangle is calculated as follows.

Charge, q = ∫∫2xy + y² dydx {0,2}{2,4}

Integrate with respect to y

q = ∫xy² + ⅓y³ dydx {0,2}{2,4}

q = ∫(2²*x + ⅓*2³) dx {2,4}

q = ∫4x + 8/3 dx {2,4}

Integrate with respect to x

q = 2x² + 8x/3 {2,4}

q = (2(4)² + 8(4)/3) - (2(2)² + 8(2)/3)

q = 29.33C

7 0

4 years ago

Read 2 more answers

What is the measure of z? 3 27 y x z

Sholpan [36]

Answer: $3\sqrt{10}$

Step-by-step explanation:

By the geometric mean theorem,

$\frac{y}{3}=\frac{27}{y}\\y^{2}=81\\y=9$

So, by the Pythagorean theorem,

$3^{2}+9^{2}=z^{2}\\90=z^{2}\\z=\boxed{3\sqrt{10}}$

8 0

2 years ago

Complete the equation and tell which property you use 16+31=31_

Lorico [155]

Property to use for 16+31 is addition. 16+31=31+16. just reverse yhe numbers

6 0

3 years ago

When it comes to reimbursement packages, company a offers $175 plus $0.55 per mile. company b offers $200 plus $0.45 per mile. w

Kamila [148]

For this case we have the following equations:
y = 0.55x + 175
y = 0.45x + 200
We equate both equations:
0.55x + 175 = 0.45x + 200
We clear the value of x:
0.55x - 0.45x = 200 - 175
0.10x = 25
x = 250 miles
Answer:
A number of thousands driven that would make the two reimbursement packages equal is:
x = 250 miles

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3 years ago

In the equation, 3b+4=7, what is the 4

Ugo [173]

Answer:

constant

Step-by-step explanation:

3 is the coefficient, b is the variable, 4 and 7 are the constants.

6 0

3 years ago