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2 years ago

8)Reduce a las unidades indicadas: a)18 cm 3 a dm 3

Mathematics

1 answer:

lys-0071 [83]2 years ago

7 0

Answer:

(a) 0.018 dm^3

(b) 20 x 10^15 ml^3

Step-by-step explanation:

a) 18 cm^3 to dm^3

1 cm = 0.1 dm

So,

1 cm^3 = 0.001 dm^3

So, 18 cm^3 = 18 x 0.001 dm^3 = 0.018 dm^3

b) 20 hl^3 to ml^3

1 hl = 100000 ml

So, 1 hl^3 = 10^15 ml^3

So,

20 hl^3 = 20 x 10^15 ml^3.

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Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a

Bond [772]

$f(x)=3\sin x+3\cos x\implies f'(x)=3\cos x-3\sin x$

$f$ has critical points where $f'=0$ :

$3\cos x-3\sin x=0\implies\cos x=\sin x\implies\tan x=1\implies x=\pm\dfrac\pi4+2n\pi$

where $n$ is any integer. We get solutions in the interval $\left[0,\frac\pi3\right]$ for $n=0$ , for which $x=\frac\pi4$ .

At this critical point, we have $f\left(\frac\pi4\right)=3\sqrt2\approx4.243$ .

At the endpoints of the given interval, we have $f(0)=3$ and $f\left(\frac\pi3\right)=\frac{3+3\sqrt3}2\approx4.098$ .

So we have the extreme values

$\max\limits_{x\in\left[0,\frac\pi3\right]}f=3\sqrt2$

$\min\limits_{x\in\left[0,\frac\pi3\right]}f=3$

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2 years ago

a road crew can repave 1/48 of a road each hour. they must repave a road that is 3/8 miles long. how long will it take the crew

son4ous [18]

3/8 / 1/48 = 3/8 x 48/1 = 144/8 = 18 hours

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2 years ago

Read 2 more answers

in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours,

algol [13]

in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds . The distance is 2.664 km.

D = distance of marathon = 42.195 km = 42195 m

tw = time taken by winner = 2 h 17 min = 2 (60) + 17 = 137 min = 137 (60) = 8220 sec

Vw = speed of winner

speed of winner is given as

Vw = D /tw = 42195/8220

ts = time taken by second place = 2 h 26 min 14 sec = 2 (60)(60) + (26)(60) + 14 = 8774 s

Vs = speed of second place

speed of second place is given as

Vs = D /ts = 42195/8774

distance of the second place holder from the finish line is given as

D' = Vs (ts - tw)

D' = (42195/8774 )(8774 - 8220)

D' = 2664.24 m

D'= 2.664 km

To learn more about distance visit:brainly.com/question/15172156

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8 months ago

An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base

kirill115 [55]

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

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2 years ago

Explain why 7* x/7=x 7 times x over seven. why is it x?

Nikolay [14]

It is 1 because if you divided 7over 7 it 1 so x=1

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2 years ago