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3 years ago

What does this description reveal about Lucia

Mathematics

2 answers:

GrogVix [38]3 years ago

5 0

Answer:

it's the answer A

Step-by-step explanation:

becAuse she is scared / nerv

Basile [38]3 years ago

3 0

Answer:

Lucia is exhausted and unable to focus on cooking.

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

2 years ago

3/7 × -2 1/5 i really need help i cant figure it out

Vika [28.1K]

3/7 * -2 1/5 = (turn ur mixed number into an improper fraction)
3/7 * - 11/5 = (now just multiply straight across)
(3 * -11) / (7 * 5) = -33/35 <====

5 0

3 years ago

Three boxes have a total weight of 640 pounds. Box A weights twice as much as Box B. Box C weight 30 pounds more than Box A. How

Zarrin [17]

Answer:

A: 244 pounds

B: 122 pounds

C: 274 pounds

Step-by-step explanation:

We have A+B+C = 640; A=2B; C=A+30. Substituting the last into the first gives ...

A + B + (A +30) = 640

2A +B = 610 . . . . . . . . . . . . subtract 30

Substituting the second into this equation gives ...

2(2B) +B = 610

B = 610/5 = 122 . . . . . divide by 5

A = 2B = 244 . . . . . . . .find A from B

C = A+30 = 274 . . . . . find C from A

Box A weighs 244 pounds; box B weighs 122 pounds; box C weighs 274 pounds.

4 0

2 years ago

Question in the photo

leva [86]

Step-by-step explanation:

The scale factor is 12/6 = 10/5 = 2.

7 0

2 years ago

Read 2 more answers

Y=6x+5 is the equation. what is its gradient

Irina18 [472]

Gradient is synonymous to slope.

y = 6x + 5 is an example of a slope-intercept form of a straight-line equationl.

The slope-intercept equation is like this:

y = mx + b

where : m = slope ; b = "y-intercept"

y = 6x + 5

6 is the slope
5 is the y-intercept.

Since slope and gradient are synonymous, 6 is the gradient of the above equation.

8 0

2 years ago