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Vilka [71]
3 years ago
5

What is the following product? Sqr5x^8y^2 sqr10x^3 sqr12y

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
4 0

Step-by-step explanation:

\sqrt{5 {x}^{8} {y}^{2}  }  \times  \sqrt{10 {x}^{3} } \times  \sqrt{12y}   \\  \\  =   {x}^{4} y \sqrt{5}  \times x \sqrt{10x}  \times 2 \sqrt{3y}  \\  \\  = 2 {x}^{5} y \sqrt{5 \times 10x \times 3y}  \\  \\  =  2 {x}^{5} y \sqrt{5 \times 5 \times 2x \times 3y}  \\  \\ =  2 {x}^{5} y  \times 5\sqrt{ 2x \times 3y}   \\  \\  = 10 {x}^{5} y \sqrt{6xy}  \\

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Eduardwww [97]

Asimply measure its length. What else could you measure? After all, length is the only feature a segment has. You’ve got your short, your medium, and your long segments.

Step-by-step explanation:

length

7 0
3 years ago
How much should a family deposit at the end of every 6 months in order to have $4000 at the end of 3 years? The account pays 5.9
ra1l [238]

We are asked to determine the present value of an annuity that is paid at the end of each period. Therefore, we need to use the formula for present value ordinary, which is:

PV_{ord}=C(\frac{1-(1+i)^{-kn}}{\frac{i}{k}})

Where:

\begin{gathered} C=\text{ payments each period} \\ i=\text{ interest rate} \\ n=\text{ number of periods} \\ k=\text{ number of times the interest is compounded} \end{gathered}

Since the interest is compounded semi-annually this means that it is compounded 2 times a year, therefore, k = 2. Now we need to convert the interest rate into decimal form. To do that we will divide the interest rate by 100:

\frac{5.9}{100}=0.059

Now we substitute the values:

PV_{ord}=4000(\frac{1-(1+0.059)^{-2(3)}}{\frac{0.059}{2}})

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PV_{\text{ord}}=39462.50

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8 0
1 year ago
Braden biked 10 8/9 miles on Monday. On Tuesday, he biked 3/ 4 as far as Monday. How many total miles did he bike over the two d
torisob [31]

Answer:

19 1/18 miles.

Step-by-step explanation:

For Tuesday's ride we need to multiply 10 8/9 by 3/4.

10 8/9 = (9*10+8) / 9 =  98/9 miles.

98 / 9  * 3/4

= 98/3 * 1/4

49/6

= 8 1/6 miles.

Total miles over 2 days = 10 8/9 + 8 1/6

= 18 + 8/9 + 1/6

= 18 +  48/54 + 9/54

= 18 57/54

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5 0
3 years ago
Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus
kykrilka [37]

Answer:

E[T] = 10

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A distribution is called uniform if each outcome has the same probability of happening.

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E = \frac{a+b}{2}

Uniformly distributed between 0 and 20 minutes.

This means that a = 0, b = 20

Let T be the number of minutes you wait until you board a bus. Find E[T].

This is

E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10

E[T] = 10

8 0
2 years ago
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3 years ago
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