Which point is on the graph of f(x) = 3.5%?<br> A. (1,15)<br> B. (0, 15)<br> C. (15,1)<br> D. (0,0)

What is the value of x in the number 5/3+ 3x+4=8

amm1812

5/3+3x+4= 8
= 3x= 4-5/3
= 3x= 7/3
= x= 7/9

4 0

3 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

3 years ago

Random question: hows life?

kipiarov [429]

Answer:

Great! Sorta making me really tired, but altogether fine!!!

How about you sir/ma'am?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

I can’t figure out what the half circle means the answer options are 163,129,149 and 186

vodka [1.7K]

Answer: 129

Step-by-step explanation: First find the area of the circle. Since we know the area of a circle is πr² (pi multiplied by the radius squared) we can find the area of the half circle. The radius is 5 (because radius is half of the diameter)

Area=3.14(5)²

=3.14(25)

=78.5

But since this is just a half circle, divide this by 2

That will get 39.25

Then add this to the area of the rectangle (L*W) which is 90

That will get about 129

4 0

3 years ago

A painter has 24 foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet fr

Lina20 [59]

To the nearest foot, it would be 23 feet. I found this using the Pythagorean Theorem of a (squared) + b (squared) = c (squared). If you have 24 as the hypotenuse, you have to square this and subtract 64 (8*8) from it. That will equal 512. So you have to find the square root of that which is 22.62, which will round to 23 feet.

5 0

4 years ago

Which point is on the graph of f(x) = 3.5%? A. (1,15) B. (0, 15) C. (15,1) D. (0,0)