Please help? Urgent! Thank you!

Mathematics

2 answers:

ICE Princess25 [194]3 years ago

7 0

a) for unit rate you need the miles walked and the amount of money made from that.

Example: $45 divided by 3 = $15

b) Beth raised $5 more per mile than both manuel and petra. Manuel and Petra raised the same amount of money per miles

Elodia [21]3 years ago

3 0

Part b. They earn .75 per mile by 3 people.

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I flew at about 135 mph for about 15 hours how far did I fly

quester [9]

Distance = velocity * time

d=135*15=2025 mi.

4 0

3 years ago

Line JK passes through points J(-4,-5) and K(-6,3). If the equation of the line is written in slope-intercept form, y-mx+b, what

Ksju [112]

$y=mx+b \\ \\
(x,y)=(-4,-5) \hbox{ and } (x,y)=(-6,3) \\ \Downarrow \\
-5=-4m+b \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \times (-3) \\
3=-6m+b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times 2 \\ \\
15=12m-3b \\
\underline{6=-12m+2b} \\
21=-b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\times (-1) \\
\boxed{b=-21}$

The value of b is -21.

4 0

4 years ago

Read 2 more answers

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = sqrt(25x) and y = x^2/25. Find V b

Westkost [7]

Explanation:

Let $f(x) = \sqrt{25x}$ and $g(x) = \frac{x^2}{25}$ . The differential volume dV of the cylindrical shells is given by

$dV = 2\pi x[f(x) - g(x)]dx$

Integrating this expression, we get

$\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx$

To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

$\sqrt{25x} = \dfrac{x^2}{25}$

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

$25x = \dfrac{x^4}{(25)^2} \Rightarrow \dfrac{x^3}{(25)^3} = 1$

$x^3 =(25)^3 \Rightarrow x = \pm25$

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is

$\displaystyle V = 2\pi\int_0^{25}{x\left(\sqrt{25x} - \frac{x^2}{25}\right)}dx$