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2 years ago

Which of the following is the solution to the inequality below -5x - 10 < 20

Mathematics

1 answer:

postnew [5]2 years ago

4 0

Answer:

x > -6

Step-by-step explanation:

-5(-4) - 10 < 20

20 - 10 < 20

10 < 20

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Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for

I am Lyosha [343]

Answer

D. 440

Step-by-step explanation:

you had me confused so I had to go in my mathmetics book it was 1/4 not 14 thats what had me confused

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2 years ago

The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu

rjkz [21]

The balloon has a volume $V$ dependent on its radius $r$ :

$V(r)=\dfrac43\pi r^3$

Differentiating with respect to time $t$ gives

$\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}$

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

$10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}$

The surface area of the balloon is

$S(r)=4\pi r^2$

and differentiating gives

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}$

so that at the moment the radius is 3 m, its area is increasing at a rate of

$\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}$

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2 years ago

Between which two integers does the square root of 117 lie

Trava [24]

Answer: 10 and 11 or -11 and -10

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2 years ago

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Rectangle has a length of 6 units and width of y units write an expression for the are of the rectangle

Alexandra [31]

Answer:

Step-by-step explanation:

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Factor. (Be sure to factor out the greatest common factor.)<br> 3x2 - 24x

Sergeu [11.5K]

Answer:

Step-by-step explanation:

just guessed

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3 years ago