The width of a rectangle is equal to m cm, but its length is five times greater than the width. Find the area of the rectangle.

The moonstone was used by [tex]\fbox{\begin\\\ \bf Circe\\\end{minispace}}[/tex].

Further explanation:

It is given that a potion is prepared by a group of witches. The members in the group are Ethel, Glinda, Locasata and Circe.

The ingredients used in the preparation of the potion are bat blood, knotgrass, moonstone and unicorn hair.

Each member of the group add a different ingredient which means that no two member of the group add the same ingredient.

As the preparation of the potion is finished it is observed that the [tex]\dfrac{1}{4}th[/tex] of the bat blood is left, [tex]\dfrac{1}{3}rd[/tex] of the knotgrass is left, [tex]\dfrac{1}{2}nd[/tex] of the moonstone is left and [tex]\dfrac{5}{8}th[/tex] of the unicorn hair is left.

From the above statement it is concluded that [tex]25\%[/tex] of the bat blood is left, [tex]33.33\%[/tex] of the knotgrass is left, [tex]50\%[/tex]of the moonstone is left and [tex]62.5\%[/tex] of unicorn hair is left.

Therefore, the percentage of ingredients used in the preparation of the potion are as follows:

Bat blood: [tex]75\%[/tex] is used

Knotgrass: [tex]66.67\%[/tex] is used

Moonstone: [tex]50\%[/tex] is used

Unicorn hair: [tex]37.5\%[/tex] is used

As per the question Ethel used the most so, the ingredient bat blood was used by Ethel.

As per the question Glinda used the least so, the ingredient unicorn hair was used by Glinda.

It is given that Locasta used more than Circe so, the ingredient knotgrass was used by Locasta and moonstone was used by Circe.

Therefore, the ingredient moonstone was used by [tex]\fbos{\begin\\\ \bf Circe\\\end{minispace}}[/tex].

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Percentages and Fraction

Keywords: Percentages, fraction, Ethel, Glinda, Locasata, Circe, potion, bat blood, knotgrass, moonstone, unicorn hair, numbers, witches, coven, simplification.

Answer:

Degree would be 5 and leading coefficient is -7

Step-by-step explanation:

To identify the leading look for the number with the biggest power. The degree is the power and the leading is the main number.

Yes, the function f(x) = 4 - 7x^5 is a polynomial function with a degree of 5 and a leading coefficient of -7.

Yes, the function f(x) = 4 - 7x5 is a polynomial function.

A polynomial function is a function where the variable (x) is raised to a non-negative integer power and multiplied by coefficients. In this case, x is raised to the power of 5 which is a non-negative integer.

The degree of a polynomial function is the highest power of the variable. In this case, the degree of the function is 5.

The leading coefficient is the coefficient of the term with the highest power of the variable. In this case, the leading coefficient is -7.

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Answer:

Step-by-step explanation:

Alright, lets get started.

Given that:

[tex]\frac{x+4}{4+x}[/tex]

Using commutative property, 4+x = x+4,

so

[tex]\frac{x+4}{x+4}[/tex]

Both numerator and denominator has same value, hence they could be cancelled.

So,

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

Hence the answer is 1 :   Answer  

Hope it will help :)

Answer:

c

Step-by-step explanation:

the answer is 1

30 feet per second x 60 = 1,800 feet per minute

1,800 feet per minute / 5280 = 0.34 miles per minute

Answer:

the next term is -1

Step-by-step explanation:

A sequence is defined recursively by the formula

[tex]f(n + 1) = f(n) + 3[/tex]

The first term of the sequence is –4.

When n=1 then f(1)=-4

Now we find out the next term

We need to find f(2)

To find f(2) plug in 1 for n in the recursive formula

[tex]f(n + 1) = f(n) + 3[/tex]

[tex]f(1 + 1) = f(1) + 3[/tex]

f(1) is -4

[tex]f(1 + 1) = -4 + 3[/tex]

[tex]f(12) =-1[/tex]

So the next term is -1

Answer:

b. -1

Step-by-step explanation:

Answer:

the answer is 130 year.

Step-by-step explanation:

Answer:

I can verify that this answer is correct!

The experimental probability that the next member surveyed will sign up for tennis is 0.3, based on the current data where 9 out of 30 members have signed up.

The question is asking for the experimental probability that the next member surveyed at the country club will sign up for tennis based on a survey of 30 members where 9 had already signed up for tennis.

To calculate the experimental probability, you divide the number of members who have signed up for tennis by the total number of members surveyed. So, the calculation would be:

The experimental probability is then calculated as 9/30, which simplifies to 0.3. Therefore, the correct answer is:

A. 0.3

The scientific form of the number 52 thousand is 5.2×10⁴.

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A number 52 thousand in standard form which is, 52000.

Now, The base would be 5 and the rest part would be in decimals raised to an appropriate exponent which is,

= 5.2×10⁴.   (as we have moved the decimal 4 places left)

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Answer with explanation:

The given expression is

  [tex]x=\frac{1}{2}\times y[/tex]

Which is equation in two variables , x and y , representing a line.

The general form of line is,

   Ax +B y +C=0

Writing the above equation symmetrical to general form of line

→  2 x=y

→2 x-y=0, is the general form.

this is the anwser to your problem

(2y+5)(x-6)

The  formula which can be used to describe the sequence is:

                [tex]f(x+1)=2f(x)[/tex]

The sequence is given by:

         [tex]-2\dfrac{2}{3},-5\dfrac{1}{3},-10\dfrac{2}{3},-21\dfrac{1}{3},-42\dfrac{2}{3},.....[/tex]

The terms of the sequence could also be written as:

[tex]\dfrac{-8}{3},\dfrac{-16}{3},\dfrac{-32}{3},\dfrac{-64}{3},\dfrac{-128}{3},....[/tex]

This means that the first term of the sequence is:

[tex]f(1)=\dfrac{-8}{3}[/tex]

The second term of the sequence is:

[tex]f(2)=\dfrac{-16}{3}\\\\i.e.\\\\f(2)=2\times \dfrac{-8}{3}\\\\i.e.\\\\f(2)=2f(1)[/tex]

[tex]f(3)=\dfrac{-32}{3}\\\\i.e.\\\\f(3)=2\times \dfrac{-16}{3}\\\\i.e.\\\\f(3)=2f(2)[/tex]

and so on.

                 Hence, the formula is given by:

           [tex]f(x+1)=2f(x)[/tex]

Answer: Hello mate!

If you have any real number A; you always have that:

A*0 = 0

this means that the product between a number A and zero, is equal to zero, and this is for every number. (note that A can be equal to 0, and 0*0 = 0)

Then if a*b = 0, you know that, at least one of the numbers is equal to zero, and there is possible that both numbers are equal to zero.

And with this information, you can see that the right answer is D.

"if If a • b = 0, then either a = 0 or b = 0, or both."

because:

0*b = 0

a*0 = 0

0*0 = 0

Final answer:

The zero product rule states that if the product of two multiplicands equals zero, then at least one of the multiplicands must be zero, which is correctly represented by option D.

Explanation:

The correct statement of the zero product rule is: If a • b = 0, then either a = 0 or b = 0, or both. This is accurately represented by option D. The zero product rule is a foundational concept in algebra that asserts when the product of two or more numbers or variables equals zero, at least one of the multiplicands must be zero. It's crucial for solving equations where a product is set equal to zero, as it allows for each factor to be set equal to zero and solved individually. This rule is pivotal in finding solutions to polynomial equations, among others. For example, in the equation (x + 2)(x - 3) = 0, applying the zero product rule we set each factor equal to zero: x + 2 = 0 or x - 3 = 0, leading to the solutions x = -2 or x = 3, respectively.

Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.

For time efficiency and to get a more precise solution.

There are two reasons.

1) In a graphing calculator you only need to input the functions and that's all, it will graph the functions for you, so it needs a lot less time than graphing by hand.

2) When you graph by hand, there is a limit in how much of an exact solution you can get (and there may be a mistake if the line is to thick or something like that). While in a graphing calculator you can find the exact point where the graphs intersect, so you will get a more precise solution with a graphing calculator.

These are the two reasons why using a graphing calculator may be better than graphing by hand.

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Descriptive statistics is a one type of statistics which involve generalization of conclusions from small selected samples.

Inferential statistic is atype of statistic which involve summarization of data in numerical form.