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3 years ago

a machine takes 2.8 hours to make 9 parts .at that rate how many parts can the machine make in 28.0?

Mathematics

1 answer:

Naily [24]3 years ago

3 0

90. Add the zero in front of the 9.

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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

An element with mass 590 grams decays by 19. 5% per minute. How much of the element is remaining after 15 minutes, to the neares

solmaris [256]

Answer:

Step 1

Formulate a recursive sequence modeling the number of grams after n minutes.

we have that

100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829^n]

for n=19 minutes

a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g

Step-by-step explanation:

5 0

2 years ago

Find the amount of tax and the tax rate. Round to nearest hundredth of a percent.

zimovet [89]

since the selling price is 89.83 and the cost of is 76, the tax amount is 89.83 - 76 = 13.83.

if we take 76 to be the 100%, what is 13.83 off of it in percentage?

$\begin{array}{ccll} amount&\%\\ \cline{1-2} 76 & 100\\ 13.83& x \end{array} \implies \cfrac{76}{13.83}=\cfrac{100}{x} \\\\\\ 76x=1383\implies x=\cfrac{1383}{76}\implies x\approx 18.20$

8 0

1 year ago

Covert this repeating decimal into a fraction: 3.00121212121212...

alukav5142 [94]

I think the answer is 2476/825

6 0

2 years ago

QUESTION 18

masha68 [24]

Answer:

y = 0.64w + 12.60

Step-by-step explanation:

This is a linear relationship y= mx + b and:

The y-intercept is b = 12.60
The slope is m = 0.64

The monthly total is:

y = 0.64w + 12.60

5 0

2 years ago