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3 years ago

I need help setting up the limits of integration for part A please. I need to get the mass.

Mathematics

2 answers:

Dafna1 [17]3 years ago

8 0

o o

$tex]\purple{\rule{45pt}{7pt}}\blue{\rule{45pt}{999999pt}}tex]$

never [62]3 years ago

5 0

Nene did. Did d do e ele e iré

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URGENT!!! 30 POINTS!!!<br><br><br>Expand log(1/2)(3x^2/2) using properties and rules for logarithms.

Korvikt [17]

$\log_\frac{1}{2}\left(\dfrac{3x^2}{2}\right)=\log_\frac{1}{2}3x^2-\log_\frac{1}{2}2=\log_\frac{1}{2}3+\log_\frac{1}{2}x^2-\log_\frac{1}{2}2\\\\=\log_\frac{1}{2}(3)+2\log_\frac{1}{2}(x)-\log_\frac{1}{2}\left(\dfrac{1}{2}\right)^{-1}\\\\=\log_\frac{1}{2}(3)+2\log_\frac{1}{2}(x)-\left[-\log_\frac{1}{2}\left(\dfrac{1}{2}\right)\right]\\\\=\log_\frac{1}{2}(3)+2\log_\frac{1}{2}(x)+\log_\frac{1}{2}\left(\dfrac{1}{2}\right)\\\\=\boxed{\log_\frac{1}{2}(3)+2\log_\frac{1}{2}(x)+1}$

$Used:\\\\\log_a\dfrac{b}{c}=\log_ab-\log_ac\\\\\log_a(bc)=\log_ab+\log_ac\\\\\log_ab^n=n\log_ab\\\\\log_aa=1$

6 0

3 years ago

If there is a 24 foot board cut into 2 pieces and one piece is 4 times longer than the other what are the lengths of each piece

erik [133]

First set up an equation as your approach. I will use the equation x+4x=24 because that way you are saying that something pluse itself times 4 equals 24 which is what you want.

simplify the equation

5x=24

x=24/5

So you know onw piece will be 24/5 of a foot and the ither qould be that times 4 so 96/24 of a foot. In decimals it would be 4.8 and 19.2

3 0

3 years ago

Nadia runs 8 miles each weekend. How many yards does Nadia run each weekend

luda_lava [24]

Answer:

14080 yds

Step-by-step explanation:

We know that 1 mile = 1760 yards

8 miles * 1760 yds/ 1 mile = (8*1760) yds=14080 yds

7 0

3 years ago

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Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following

gregori [183]

Answer:

(1/4, 5 7/8)

Step-by-step explanation:

The vertex is the extreme point of the graph. Here, it is a minimum.

For this quadratic function, a graphing calculator can tell you exactly what the vertex is. (No approximation is required.)

The graphing calculator in the attachment shows the vertex is ...

(0.25, 5.875) = (1/4, 5 7/8)

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2 years ago

12x+3=15x solve for x

malfutka [58]

$12x+3=15x\ \ \ \ |subtract\ 3\ from\ both\ sides\\\\12x=15x-3\ \ \ \ \ |subtract\ 15x\ from\ both\ sides\\\\-3x=-3\ \ \ \ \ |divide\ both\ sides\ by\ (-3)\\\\\boxed{x=1}\\\\check:\\\\L=12\cdot1+3=12+3=15\\R=15\cdot1=15\\\\L=R\ :)$

4 0

3 years ago

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