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77julia77 [94]
3 years ago
14

HELP PLEASE I NEED THIS DONE

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

Answer:

138.3ft^3

Step-by-step explanation:

Volume for cylinders : V = pi*r^2*h

Volume for cones : V = pi*r^2*(h/3)

Since we know the radius (r) is 2 and the height is 10 and 3 for the cylinder and cone respectively, all we do is plug in.

Volume for cylinder is about 125.7ft^3

Volume for cone is about 12.6ft^3

Then just add them together for a total of 138.3ft^3

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Element X is a radioactive isotope such that its mass decreases by 59% every day. If an experiment starts out with 390 grams of
miss Akunina [59]

Answer:

The function that represents the mass of the sample after t days is A(t) = 390(0.41)^t.

The percentage rate of change per hour is of -2.46%.

Step-by-step explanation:

Exponential amount of decay:

The exponential amount of decay for an amount of a substance after t days is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount, and r is the decay rate, as a decimal.

Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.

This means, respectively, that r = 0.59, A(0) = 390

So

A(t) = A(0)(1-r)^t

A(t) = 390(1-0.59)^t

A(t) = 390(0.41)^t

The function that represents the mass of the sample after t days is A(t) = 390(0.41)^t.

Hourly rate of change:

Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So

-59%/24 = -2.46%

The percentage rate of change per hour is of -2.46%.

5 0
3 years ago
Is six pen cost $2.10 what is the unit price of the pen?
Studentka2010 [4]

Answer:

3.20

Step-by-step explanation:

6 0
2 years ago
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What is the value of y for the line that had a slope of -3/2 and passes through the points (3,5) and (7,y)?
Leni [432]

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{y}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{y-5}{7-3}=\stackrel{\stackrel{slope}{\downarrow }}{-\cfrac{3}{2}}\implies \cfrac{y-5}{4}=-\cfrac{3}{2} \\\\\\ 2y-10=-3y\implies 5y-10=0\implies 5y=10\implies y=\cfrac{10}{5}\implies y=2

7 0
3 years ago
Which of the following illustrates the truth value of the given statements? January is the first month of the year or December i
Dafna11 [192]
First, the need to determine if the statements are true or false.

1) January is the first month of the year. (This statement is true)
2) December is the last month of the year. (This statement is also true)

With this in mind we can determine that what will illustrate the truth value would be:

T T -> T

In other words, since the first statement is true and the second statement is also true then conjunction of both statements would be true.
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3 years ago
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How can you use the properties of operations to evaluate this expression?<br> 18 + 4(28). Explain.
maxonik [38]

Answer:

130.

Step-by-step explanation:

18 + 4(28(

= 18 + 4 * 28   Multiplication is done before addition so we have:

18 + 112

= 130.

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3 years ago
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