Is 0.2525252525252525 a rational or irrational

The 50% value is 13.

The longest hours studied is 20.

The shortest hours studied is 5.

The 75% number is 17.

The five number summary is the summary of a dataset that contains information on the minimum number, the 25th percentile, the median, the 75th percentile and the maximum number.

The median is the number at the center of the dataset. The median is 13. The maximum number provides information on the longest number of hours studies. The  minimum  number is the shortest number studied by anyone. The minimum number is 5. The 75th percentile is 17.

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Assuming a linear relationship, the missing value in the table above is equal to 3.

A linear equation can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

By critically observing the values in the table above, we can logically deduce that there exist a linear relationship between the data set. Therefore, the value of x increases by 1 while the value of y increases by 3.

Also, we can determine the slope of the given data set as follows:

Slope = Δy/Δx

Slope = (7 - 4)/(2 - 1)

Slope = 3/1

Slope = 3.

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Expanded form of logarithm  log√x²-4 / (x+3)² is 1/2log(x²-4)-2log (x+3).

By considering the given logarithm function

log√x²-4 / (x+3)²

log√x²-4 -log (x+3)²

1/2log(x²-4)-2log (x+3)

The logarithm is exponentiation's opposite function in mathematics. This means that the exponent to which a fixed number, base b, must be raised in order to produce a given number x, is represented by the logarithm of that number.

Based on the logarithm base, the logarithmic functions are broadly divided into two types. There are common and natural logarithms. Common logarithms are based on the number 10, while natural logarithms are based on the base "e." The power to which a number must be raised in order to obtain another number is known as a logarithm (see Section 3 of this Math Review for more about exponents).

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Answer:

Step-by-step explanation:

The value of the expression [tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex] after rationalizing the denominator is [tex]\frac{2\sqrt{5}+5 }{5}[/tex].

A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Rationalizing the denominator is the process of shifting a root, such as a square root or a cube root, from the fraction's denominator to its numerator (numerator).

The numerator is the part of a fraction that comes before the vinculum.

The denominator of a fraction is the phrase that comes before the vinculum.

Consider the expression,

[tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex]

Now, let [tex]y=\frac{2+\sqrt{5} }{\sqrt{5} }[/tex]

To rationalize the denominator we multiply and divide the expression by √5.

[tex]y=\frac{2+\sqrt{5} }{\sqrt{5} } \times \frac{\sqrt{5} }{\sqrt{5} }[/tex]

[tex]y=\frac{2\sqrt{5}+(\sqrt{5} )^{2} }{(\sqrt{5} )^{2}}[/tex]

[tex]y=\frac{2\sqrt{5}+5 }{5}[/tex]

The value of the expression when rationalized [tex]\frac{2+\sqrt{5} }{\sqrt{5} }[/tex] is [tex]\frac{2\sqrt{5}+5 }{5}[/tex].

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Answer:

It will cost $1,645 to recarpet the room

Step-by-step explanation:

room 5 meters by 7 meters is 35 m^2

Therefore, 35*47.00 = $1,645

Answer:

Angle 1 = 118°

Angle 2 = 62°

Angle 3 = 118°

Angle 4 = 62°

Step-by-step explanation:

Given : Angle 4 = 62°

Here ,

=> Angle 4 + Angle 1 = 180° { linear pair }

=> 62 + Angle 1 = 180

=> Angle 1 = 180 - 62

=> Angle 1 = 118°

Angle 4 = Angle 2 { vertically opposite angle }

Angle 1 = Angle 3 { vertically opposite angles }

No , investing $ 2000 in an account that pays 5% annual interest compounded continuously is not same as investing $ 1000 at 4 % and $ 1000 at 6% .

It is given that principal is $2000 , annual interest rate is 5 % , time is 1 years

Putting [tex]P=\$2000 , \ r= 5\% , \ t=1 \ year[/tex] in equation (1) , we get

          [tex]A=2000\times 2.71^{0.5 \times 1}\\A=2000\times 2.71^{0.5}\\ \ A=2000\times1.64872 \\A =\$3297.44[/tex]

It is given that principal is $1000 , annual interest rate is 4 % , time is 1 years

Putting [tex]P=\$1000 , \ r= 4\% , \ t=1 \ year[/tex] in equation (1) , we get

        [tex]A=1000\times 2.71^{0.4 \times 1}\\A=1000\times 2.71^{0.4}\\ \ A=1000\times1.49182 \\A =\$1491.82[/tex]

It is given that principal is $1000 , annual interest rate is 6 % , time is 1 years

Putting [tex]P=\$1000 , \ r= 6\% , \ t=1 \ year[/tex] in equation (1) , we get

          [tex]A=1000\times 2.71^{0.6 \times 1}\\A=1000\times 2.71^{0.6}\\ \ A=1000\times1.82211 \\A =\$1822.11[/tex]

Adding the above amounts , we get

[tex]A=1491.82+1822.11=\$3313.93\neq 3297.44[/tex]

which is not equal to amount investing $ 2000 in an account that pays 5% annual interest compounded continuously .

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The value of f(x)+g(x)= x²+ 3x - 1

a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

f(x) is the value of the function.

there is an x in the function f, it is replaced with the function g(x).

f(x)=3 x-2

g(x)=x²+1 .

(f+g)(x) = x²+1 + 3 x-2

f(x)+g(x)= x²+ 3x - 1

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1.9 pounds of metal was refused of her collection.

Given that

To find

So according to the question

We have,

For finding the remaining metal of her collection, we have to subtract the metal buy by recycling center from her total collection

So, we can say that

        remaining metal = her total collection - he metal buy by recycling center

Now, putting the values from question

        remaining metal = 20.3 - 18.4

                                    = 1.9 pounds of metal.

Answer:

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Answer:

9/24 and 21/56

Step-by-step explanation:

9/24 = 0.375 or 3/8

21/56 = 0.375 or 3/8

Answer:

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

f(x)=1.8x^2-6.2x+2.5

As the coefficient of x^2 is positive this has a minimum value.

Find the derivative:

f'(x) = 3.6x - 6.2

This = 0 for a minimum value of f(x):

3.6x - 6.2 = 0

x = 6.2/3.6 = 1.722

This is the value of x when f(x) is a minimum.

So, the minimum value of f(x)

= 1.8(1.722)^2 - 6.2*1.722 + 2.5

= -2.838......

= -2.84 to nearest hundredth.

Answer:

I believe b but not 100%

Step-by-step explanation:

xoxo

The area and perimeter of the triangle are:

B. 12x; 5x + 14

The area of the triangle in the image is calculated using the formula, area = 1/2(b)(h), where:

Substitute

Area of the triangle = 1/2(8)(3x)

Area of the triangle = 4(3x)

Area of the triangle = 12x units²

The perimeter of the triangle in the image is calculated by adding the length of all three sides of the triangle, which is:

Perimeter = (x + 9) + 8 + (4x - 3)

Perimeter = x + 9 + 8 + 4x - 3

Combine like terms

Perimeter = 5x + 14 units

In conclusion: the area and perimeter of the triangle are:

B. 12x; 5x + 14

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Answer:

X=1

Search it up on a calculator next time

Answer:

solution:

x=1

Step-by-step explanation:

2x + 6=4x+4

2x -4x +6-4=0

-2x +2 =0

-2x = -2

x = -2/-2

× = 1

Answer: 2014 was a great year for my family

Step-by-step explanation:

2014; my family came together that year

2015; my family fell apart that year

Answer:

B

Step-by-step explanation:

the total number of adult/ children tickets sold was 95 , then

a + c = 95

the ticket sales totalled $1380 , then

9a + 16c = 1380

the system of equations is

a + c = 95 , 9a + 16c = 1380

Answer: 3, -1, 1/2, -1/2, 3

Step-by-step explanation:

The common ratio is the number you must multiply the preceding term by to get the next term.

Applying the rules of addition and scalar multiplication of vectors, –4w = (–8, 20) and –4u + w = (6, –7)

In the 2D coordinate system, vectors can be split into x-component and y-component.

we can write, for example, a vector r = (2,–6), which means:

x-component = 2

y-component = –6

In the given problem:

u = (-1,3), v = ( 2,4) , and w = (2,-5)

Then,

–4w =  –4(2, –5)

       = (–4 . 2, –4. (–5)) = (–8, 20)

–4u + w =  –4(-1,3) + (2, –5)

             = (–4.(–1), –4 . 3) +(2, –5)

             =(4, –12) + (2, –5)

             = (4+2, –12–(–5)) = (6, –7)

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The functions that model the two discounts will be given as R (x) = 5 x and M (y) = 0.15 y.

We are given that:

Rebate a customer receives if he buys a regular priced CD at $ 13 each = $ 5.

If a customer registers for the store member, he get a discount = 15 %.

Now, let the regular priced CD purchased be x and the application for store member be y.

So, the functions will become:

For rebate:

R (x) = 5 x

For discount:

M (y) = 15 % of x

M (y) = 0.15 x

Therefore, we get that, the functions that model the two discounts will be given as R (x) = 5 x and M (y) = 0.15 y.

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The probability that the first child of Clara and Charles will be a boy with hemophilia is 1/4.

It shouldbe noted the dominant and recessive alleles is given as H and h. It should be noted that A and a also represent the tyrosinase alleles.

The father of Clara had hemophilia.

Therefore, the probability that the first child of Clara and Charles will be a boy with hemophilia will be:

= 1/2 × 1/2

= 1/4.

Therefore, the probability is 1/4.

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In humans, hemophilia (OMIM 306700) is an X-linked recessive disorder. The dominant and recessive alleles represented by H and h . Albinism is an autosomal recessive condition . A and a represent the tyrosinase alleles. A healthy woman named Clara (II-2), whose father (I-1) has hemophilia and whose brother (II-1) has albinism, is married to a healthy man named Charles (II-3), whose parents are healthy. Charles's brother (II-5) has hemophilia, and his sister (II-4) has albinism. The pedigree is shown.

Determine the probability that the first child of clara and charles will be a boy with hemophilia.

The number of adult tickets sold for $50 is 990 and the number of children tickets sold for $10 is  450

How do we represent adult tickets and children's tickets?

The adult tickets can be represented by x whereas the children's tickets are represented by y, hence, the sum of x and y gives 1440 tickets

x+y=1440.......... equation 1

50x+10y=54000........ equation 2

solve for x in equation 1

x=1440-y

substitute for x in equation 2

50(1440-y)+10y=54000

72000-50y+10y=54000

72000-54000=50y-10y

18000=40y

y=18000/40

y=450

x+y=1440

x+450=1440

x=1440-450

x=990

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Answer:

liam will have 7 chairs leftover

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer: (^ represents the exponent)

a) 10^x-1

b) 10^4x

c) c^6

Step-by-step explanation:

a) When you divide powers, you subtract their exponents. Since c = 10^x and it is being divided by 10^1, it would be the equivalent of 10^x-1

b) c= 10^x. c^4 would be equal to (10^x)^4 or [tex](10^{x})^{4}[/tex]. When powers are placed this way, you multiply their exponents. For instance [tex](3^{2})^{4}[/tex] would be [tex]3^{8}[/tex].

C) This is the same concept as part b, but reversed. 10^6x is equal to (10^x)^6, which is equal to c^6.

A salaried employee will always have a(n) employment contract.

Who is a salaried employee?

A salaried employee is an individual who is said to often receives a fixed amount of money (salary), regardless of the number of hours they work each week.

It is one that  is referred to as a salaried employee because they often get compensated for 40 hours of work per week and it is one that is based on the use of an employment contract.

Since the employment contract is seen as a legally binding  form of an agreement between an employer and that of their employee, A salaried employee will always have a(n) employment contract.

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Answer:

[tex] \frac{2b}{a} [/tex]

Step-by-step explanation:

[tex] \frac{2}{a} \div \frac{1}{b} [/tex]

[tex]\frac{2}{a} \: \times \:b[/tex]

[tex] \frac{2b}{a} [/tex]

Answer:

I think it's an error it should be correct and in the right spot or whatever it an error