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2 years ago

HELP PLEASE I HAVE 5 MINUTES PLEASE HELP! (IGNORE THE HIGHLIGHTED ANSWER I PRESSED IT ON ACCIDENT)

Mathematics

2 answers:

schepotkina [342]2 years ago

5 0

Answer:

The highlighted one is correct

Step-by-step explanation:

That scenario is the only one that makes sense when less of "y" causes more of "x"

MAXImum [283]2 years ago

4 0

i think its b

sorry if im wrong..

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Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e $\dfrac{dV}{dt}= 20 \ ft^3/min$

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

$\dfrac{dV}{dt}= 20 \ ft^3/min$

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

3 years ago

On a cube, what proportion of the surface area is on each face, to the nearest percent?

Misha Larkins [42]

Answer:

Cubes have 6 equal faces, and the surface area is the sum of all of these faces. Thus, one face would be 1/6 of the cube's surface area, or about 17%.

Step-by-step explanation:

8 0

2 years ago

There are 32 red or blue marbles in a bag. The number of red marbles is 4 more than 3 times the number of blue marbles. Write an

eimsori [14]

Answer:

# red marbles = 25

# blue marbles = 7

Step-by-step explanation:

r + b = 32

r = 4 + 3b

substitute '4 + 3b' for 'r' in the 1st equation

4 + 3b + b = 32

4 + 4b = 32

4b = 28

b = 7

red = 32 - 7

r = 25

5 0

3 years ago

One kind of bacteria in a laboratory culture triples every 30 minutes. Suppose the culture is started with 20 bacteria cells. Ho

IgorC [24]

Answer:

2 hours = 4 * 30 minutes

30 * 3 = 90

90 * 3 = 270

270 * 3 = 810

810 * 3 = 2430

So after 2 hours you will have 2430 bacteria cells.

Step-by-step explanation:

3 0

3 years ago

pls help ASAP this is due in 10 min!!

Angelina_Jolie [31]

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2 years ago