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jenyasd209 [6]
3 years ago
5

Valentines Day is this week and you would like to buy her flowers and get her a new vase to keep the flowers fresh. She often fo

rgets to water her flowers and needs a vase that holds a lot of water. In a catalog there are three vases available and you want to purchase the one that holds the most water. The first vase is a cylinder with diameter 10 cm and height 40 cm. The second vase is a cone with base diameter 16 cm and height 45 cm. The third vase is a sphere with diameter 18 cm. Which vase should you purchase? How much more water does the vase with the largest volume hold than the vase with the smallest volume? Hint: Most formulas involving circles need the radius, not the diameter! Answer each part of the question completely. Show how you found the volume of each vase....in other words....show your work.
Which vase should you purchase? Find the volume of each of the vases. How much more water does the largest vase hold than the smallest vase?

Mathematics
1 answer:
Naily [24]3 years ago
5 0

largest is first vase and the smallest is second vase

1000-576=424

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Divide the number 20 into two parts (not necessarily integers) in a way that makes the product of one part with the square of th
Ilya [14]

Answer:

13 1/3 and  6 2/3.

Step-by-step explanation:

Let the 2 parts be x and (20 - x).

So x^2(20 - x) must be a maximum.

y = x^2(20 - x)

y = 20x^2 - x^3

Finding the derivative):

y' =  40x - 3x^2 = 0   for  maxm/minm value.

x( 40 - 3x) = 0

40 - 3x = 0

3x = 40

x = 40/3.

This is a maximum because the second derivative y" =  40 - 6x = 40 - 6(40/3)) is negative.

So the 2 numbers are 13 1/3 and  6 2/3.

3 0
3 years ago
Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(
Inessa05 [86]

Answer:

2+i

Step-by-step explanation:

Given the expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}

To find:

The expression of above complex number in standard form a+bi.

Solution:

First of all, learn the concept of i (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by i.

Value of i =\sqrt{-1}.

Now, let us consider the given expression:

\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i

So, the given expression in standard form is 2+i.

Let us compare with standard form a+bi so we get a =2, b =1.

\therefore The standard form of

\dfrac{4+\sqrt{16-(4)(5)}}{2}

is: \bold{2+i}

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3 years ago
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Ayeee I LOVE THIs song
3 0
3 years ago
Read 2 more answers
Help please I need an correct answer
Nataly_w [17]
Correct answer of what???
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3 years ago
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Bess [88]

Answer:

Step-by-step explanation:

Total number of students who roller skated = 80

Number of students who roller skated with laser tag = 39

Number of students who roller skated with no laser tag = 80 - 39 = 41

Therefore, percentage of students who roller skated with no laser tag = \frac{41}{154}\times 100 = 27%

Since, number of students who played laser tag = 85

Percentage of students who played laser tag = \frac{85}{154}\times 100 = 55%

Total number of students who played no laser tag = 45% of 154 = 69

Number of students with no roller skates and no laser tag = 69 - 41 = 28

Percentage of students with no roller skates and no laser tag = \frac{28}{154}\times 100        

                                                                                                       = 18%

Percentage of students who played with no rollers skates = (30 + 18)%

                                                                                                 = 48%

                                  Laser tag                 No laser tag                Total

Roller skate                     25%                           27%                      52%

No Roller skate               30%                           18%                      48%

Total                                55%                           45%                      100%

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3 years ago
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