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2 years ago

Which is faster 80km/h or 60mi/h

Mathematics

1 answer:

Vilka [71]2 years ago

8 0

60 Mi/h is faster than 80 km/h

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Find three solutions to the equation 2x+3y=12

aleksley [76]

Answer:

if x = 3, then y = 2

if x = 0, then y = 4

if x = 6, then y = 0

3 0

2 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

A person participates in a weekly office pool in which he has one chance in ten of winning the prize. If he participates for 5 w

Molodets [167]

Answer: 2

Step-by-step explanation:

5 0

2 years ago

Can someone please help me?

Norma-Jean [14]

Answer:

a) DE = 15

b) AB = 6

Step-by-step explanation:

24/8 = 3

18/3 = 6

5*3 = 15

4 0

2 years ago

When the following fraction is reduced, what will be the exponent on the m? 27mn^3/56m^6n

Oksi-84 [34.3K]

From my research the answer for this question is 5

5 0

2 years ago

Read 2 more answers