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3 years ago

What is 2 4/10 expressed as a decimal?

Mathematics

2 answers:

gtnhenbr [62]3 years ago

8 0

2 4/10 = 2.4

hope this helped

8090 [49]3 years ago

4 0

24/10 is 2.4 because 2 wholes is 2.0 and 0.4 is ones so 2.4

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Consider the paraboloid z=x2+y2. The plane 8x−5y+z−2=0 cuts the paraboloid, its intersection being a curve. Find "the natural" p

Jet001 [13]

Answer:

The parametrization of the curve on the surface is

$c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ]$

Where

$x = \frac{\sqrt{97} }{2} cost - 4$

$y = \frac{\sqrt{97} }{2} sint + \frac{5}{2}$

$z = 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2}$

Step-by-step explanation:

From the question we are told that

The equation for the paraboloid is $z = x^2 + y^2$

The equation of the plane is $8x - 5y + z -2 = 0$

Form the equation of the plane we have that

$z = 5y -8x +2$

$x^2 + y^2 = 5y -8x +2$

=> $x^2 + 8x + y^2 -5y = 2$

Using completing the square method to evaluate the quadratic equation we have

$(x + 4)^2 + (y - \frac{5}{2} )^2 = 2 +(\frac{5}{2} )^2 + 4^2$

$(x + 4)^2 + (y - \frac{5}{2} )^2 = \frac{97}{4}$

$(x + 4)^2 + (y - \frac{5}{2} )^2 = ( \frac{\sqrt{97} }{2} )^2$

representing the above equation in parametric form

$(x + 4) = \frac{\sqrt{97} }{2} cost$ , $(y -\frac{5}{2} ) = \frac{\sqrt{97} }{2} sin t$

$x = \frac{\sqrt{97} }{2} cost - 4$

$y = \frac{\sqrt{97} }{2} sint + \frac{5}{2}$

So from $z = 5y -8x +2$

$z = 5[\frac{\sqrt{97} }{2} sint + \frac{5}{2}] -8[ \frac{\sqrt{97} }{2} cost - 4] +2$

$z = 5\frac{\sqrt{97} }{2} sint + \frac{25}{2} -8 \frac{\sqrt{97} }{2} cost + 32 +2$

$z = 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2}$

Generally the parametrization of the curve on the surface is mathematically represented as

$c(t) = [x(t) , y(t), z(t)] \equiv [\frac{\sqrt{97} }{2} cost - 4 , \frac{\sqrt{97} }{2} sint + \frac{5}{2} , 5\frac{\sqrt{97} }{2} sint -8 \frac{\sqrt{97} }{2} cost +\frac{93}{2} ]$

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A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 10 hours? What is the rate of speed of the jet?

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Answer:

186.666... calories for the 14-inch pizza.

Step-by-step explanation:

For the first pizza there's 13.33333333333... calories in 1 in.

For the second pizza you multiply 13.33333333333... by 14.

Equaling 186.6 repeating.

Have a great day!

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In a game, a participant is given three attempts to hit a ball. On each try, she either scores a hit, H, or a miss, M. The game

Sidana [21]

Answer:

chancing for wining is 54%.

Step-by-step explanation:

possible outcomes can be given as

HHH *

HHM *

HMH

MHH *

HMM

MHM

MMH

MMM

Out of those, only 3 will have the participant win the game:

HHH, HHM, MHH.

Probability (HHH) + Probability (HHM) + Probability (MHH)

since attempts are independant.

Probability (HHH) = 0.9 *0.4 *0.9 = 0.324

Probability (HHM) = 0.9 *0.4 *0.3 = 0.108

Probability (MHH) = 0.3 *0.4 *0.9 = 0.108

Add them up and get = (0.324+ 0.108+0.108) = 0.54

hence, chancing for wining is 54%.

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3 years ago

What is ​ 2 4/10 ​ expressed as a decimal?

What is 2 4/10 expressed as a decimal?