Choose the correct simplification of the expression (5xy5)2(y3)4.

To minimize the function Q=x^2+2y^2, substitute x=3-y and expand the expression. Use the vertex formula to find the minimum value of Q. The minimum value is 13.5 when x=1.5 and y=1.5.

To minimize the function Q=x^2+2y^2, where x+y=3, we can substitute x=3-y into the function to get Q=(3-y)^2+2y^2. Expanding this expression gives Q=9-6y+y^2+2y^2. Combining like terms, we have Q=3y^2-6y+9.

To find the minimum value of Q, we can use the vertex formula. The x-coordinate of the vertex of the parabola represented by Q=a(x-h)^2+k is x=-h. In our case, h=-(-3)/2=1.5. Substituting this value of x into the equation Q=3y^2-6y+9 gives Q=3(1.5)^2-6(1.5)+9=13.5-9+9=13.5.

Therefore, the minimum value of Q is 13.5 when x=1.5 and y=1.5.

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An expression when written in either radical form or rational exponent form be rewritten to fit the other form as well.

When we write in different forms the Denominator defines as the Index  and the Numerator defines as Power on the variable.

  We can write  [tex]4^{\frac{2}{3}[/tex]  as   [tex]\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}[/tex]

Again, vice versa,

   We can write [tex]\sqrt[5]{x^4}[/tex] as [tex]x^{\frac{4}{5}[/tex]

Therefore , we can written in other forms as well to fit .

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To convert from radical form to rational exponent form, use [tex]\( \sqrt[n]{a} = a^{1/n} \),[/tex] and vice versa for conversion.

An expression written in radical form can be rewritten in rational exponent form and vice versa using the following conversions:

1. From Radical Form to Rational Exponent Form:

  - For a radical expression [tex]\( \sqrt[n]{a} \), where \( n \)[/tex] is the index and [tex]\( a \)[/tex] is the radicand:

  - The equivalent expression in rational exponent form is [tex]\( a^{1/n} \)[/tex].

2. From Rational Exponent Form to Radical Form:

  - For an expression [tex]\( a^{m/n} \)[/tex], where [tex]\( a \)[/tex] is the base, [tex]\( m \)[/tex] is the numerator, and [tex]\( n \)[/tex] is the denominator:

  - The equivalent expression in radical form is [tex]\( \sqrt[n]{a^m} \).[/tex]

These conversions allow us to switch between radical form and rational exponent form easily. It's important to remember that the index of the radical corresponds to the denominator of the rational exponent, and the exponent of the base corresponds to the numerator of the rational exponent.

Answer:

the answer is D. I, II, and III

Step-by-step explanation:

Answer:

The answer is 2 times.

Answer:

The fraction 14/5 can be expressed as 280 percent.

For this case we have the following function:

[tex] f(x) = 7.50x
[/tex]

An equivalent way to write this function is:

[tex] y = 7.50x
[/tex]

From here, we clear the value of x.

We have then:

[tex] x = \frac{y}{7.50}
[/tex]

Returning the variables we have that the inverse of the function is:

[tex] f (x) ^ - 1 =\frac{x}{7.50}
[/tex]

Answer:

the inverse of this relation is:

[tex] f (x) ^ - 1 =\frac{x}{7.50}
[/tex]

Answer: B. x+2y=8

Explanation:

The original equation is:

[tex]y=-\frac{1}{2}x+4[/tex]

The problem asks us to convert the equation in the standard form, so in the form

[tex]ax+by=c[/tex]

with a,b and c being integers.

In order to do that, first of all let's bring on the same side both x and y:

[tex]y+\frac{1}{2}x=4[/tex]

Now we want the coefficient in front of x to be an integer, so let's multiply each term by 2, and we get

[tex]2y+x=8[/tex]

and this corresponds to option B.

The equation that represents y = -1/2x + 4 in standard form is 2x + y = 8.

The equation that shows y = -1/2x + 4 in standard form is 2x + y = 8.

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Problem-solving activity includes

1.Understanding the problem,that is nature of the problem, then Completely define in your own way.

2. Determining why this problem has accrued,

3.  Identifying the ways to solve the problem,

4. Prioritizing the given alternatives that is ways  and then arranging the alternatives for a solution,

5. Then applying the best solution or arrangement for the given problem.

There are two ways considered for  problem-solving activity

(1). Trial and Error  (2) Reduction in steps

It totally depends on the kind of problem , which you are solving. There may be Less than  five alternatives  ,equal to  five alternatives or more than  five alternatives to solve the problem.

Option B: False

Answer: Experimental probability of tossing head is [tex]\frac{11}{20}[/tex]

Step-by-step explanation:

Since we have given that

Number of times Lynn tossed a coin = 60 times

Number of times head comes = 33

Experimental probability of tossing heads using Lynn and drawn results is given by

[tex]\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\\\\=\frac{33}{60}\\\\=\frac{11}{20}[/tex]

Hence, Experimental probability of tossing head is [tex]\frac{11}{20}[/tex].

Answer:

experimental probability of tossing heads using Lynn and dawns results is [tex]\frac{11}{20}[/tex].

Step-by-step explanation:

Given :Lynn and dawn tossed a coin 60 times and got heads 33 times

To find : what is the experimental probability of tossing heads using Lynn and dawns results.

Solution : We have given that  

Number of times Lynn tossed a coin = 60 times.

Number of times head comes = 33.

 Probability of tossing heads using Lynn and drawn results is given by:

  = N[tex]\frac{number of favouable outcome }{total possible outcome}[/tex]

= [tex]\frac{33}{60}[/tex].

On simplification

=[tex]\frac{11}{20}[/tex].

Therefore, experimental probability of tossing heads using Lynn and dawns results is [tex]\frac{11}{20}[/tex].

One million days from now would be roughly the year 3759 AD. The exact day and month would fall sometime in March or April due to the complexities of our modern calendar system.

To answer your question of what is the day 1,000,000 days from now, we'll need to do some calculations. There are approximately 365.25 days in a year (this includes the extra day every four years for leap years).  

1,000,000 divided by 365.25 equals approximately 2737.85 years. This means that 1,000,000 days from now it would be the year 3759 AD (assuming the current year is 2022).

As for the exact day, we'll consider that a year is made up of 365 days, and the .25 accounts for leap years. However, the calculation of the exact date and month is quite complex due to the irregularities in our Gregorian calendar. It would fall sometime in March or April of 3759 AD.

Note that this calculation does not consider minute changes in Earth's rotation over time or potential changes in our calendar system.

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