What could be partial quotients for 145divided by 5

Brady rode his bike 70 miles in 4 hours. He rode at an average speed of 17 mph for t hours and alah

telo118 [61]

Answer:66 slower speed

Step-by-step explanation:

6 0

2 years ago

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

5 0

4 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7Bx%7D%20%2B1%7D%7Bx-%5Csqrt%7Bx%7D%20%2B1%7D" id="TexFormula1" title="\frac

zubka84 [21]

Answer:

Step-by-step explanation:

$\frac{\sqrt{x}+1 }{x-\sqrt{x}+1 }=\frac{\sqrt{x}+1}{(x+1)-\sqrt{x}}\\\\=\frac{(\sqrt{x}+1)([x+1]+\sqrt{x})}{([x+1]-\sqrt{x})+([x+1)+\sqrt{x}])}\\\\=\frac{\sqrt{x}*x+\sqrt{x}*1+\sqrt{x}*\sqrt{x}+1*x+1*1+1*\sqrt{x}}{(x+1)^{2}-(\sqrt{x})^{2}}\\\\\\=\frac{x\sqrt{x}+\sqrt{x}+x+1+x+\sqrt{x}}{x^{2}+2x+1-x}\\\\=\frac{x\sqrt{x}+2\sqrt{x}+2x+1}{x^{2}+x+1}\\\\$

8 0

3 years ago

Which of the following are solutions of the equation ? + 18 = 82?

vazorg [7]

Answer:

64

Step-by-step explanation:

if you do 64 + 18 you will get 82.

4 0

3 years ago

I do not understand how to do this problem. I am very confused and need help. x-3/2x+4=-1/2

atroni [7]

X - $\frac{3}{2}$ x + 4 = - $\frac{1}{2}$

First, simplify $\frac{3}{2} x$ to $\frac{3x}{2}$ / Your problem should look like: x - $\frac{3x}{2}$ + 4 = - $\frac{1}{2}$
Second, simplify x - $\frac{3x}{2}$ + 4 to $- \frac{x}{2}$ + 4 / Your problem should look like: $-\frac{x}{2}$ + 4 = $-\frac{1}{2}$
Third, regroup terms. / Your problem should look like: 4 - $\frac{x}{2}$ = - $\frac{1}{2}$
Fourth, multiply both sides by 2. / Your problem should look like: 8 - x = -1
Fifth, subtract 8 from both sides. / Your problem should look like: -x = -1 - 8
Sixth, simplify -1 - 8 to -9. / Your problem should look like: -x = -9
Seventh, multiply both sides by -1. / Your problem should look like: x = 9

Answer: x = 9

4 0

3 years ago