Always, Sometimes & Never - Read each statement and decide if it always true, sometimes true or never true.
SOMETIMES
ALWAYS
NEVER
All repeating and
terminating decimals
are rational numbers.
Nonterminating.
nonrepeating
decimals are irrational
numbers.
All tractions are
rational.
The square root of a
non-perfect square is
a rational number.
It is an irrational
number.
The square root of a
perfect square is
irrational,
Rational numbers and
Irrational numbers are
part of the Real
Number System.
A negativ number is
a rational number.


Pls hurry

Location of the negative make value different from each other that is  5.3/10^4 and -(5.3 * \(10^{4}\))  

According to this rule, if the exponent is negative, we can change the exponent into positive by writing the same value in the denominator and the numerator holds the value 1.

The negative exponent rule is given as:

   5. 3 x 10^-4

=  5.3/10^4                 (1)

-5. 3 x 10^4

-(5.3 * \(10^{4}\))                  (2)

from equation 1 and 2 these two equations are different from each other.

location of the negative make value different from each other that is  5.3/10^4 and -(5.3 * \(10^{4}\))  

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The the function to estimate the average age of employee of a company is A(s)=0.285s + 59  , then the average age of employee in 2003 is 65.27 and in 2009 is 66.98

To estimate the average age of an employee in 2003, we need to find the value of A(s) when s = 22  ;

because the number of years between 2003 and 1981 is = 22 years ;

So , A(22) = 0.285×22 + 59 = 65.27  ;

The average age of an employee in 2003 is approximately 65.27.

To estimate the average age of an employee in 2009,

we need to find the value of A(s) when s = 28

because the number of years between 2009 and 1981 is = 28 years ;

So , A(28) = 0.285×28 + 59 = 66.98  ;

The Average age of employee in 2009 is approximately 71.48.

The given question is incomplete , the complete question is

The function​ A(s) given by ​A(s)=0.285s + 59  can be used to estimate the average age of employee of a company in the year 1981 to 2009. Let​ A(s) be the average age of an​ employee, and "s" be the number of year since​ 1981; that​ is, s=0 for 1981 and s=9 for 1990. What is the average age of the employee in 2003 and in​ 2009 ?

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well, we can say that 1 hour is 100%, what is 2/5 hr off of it in percentage?

\(\begin{array}{ccll} hour&\%\\ \cline{1-2} 1 & 100\\ \frac{2}{5}& x \end{array} \implies \cfrac{1}{~~ \frac{2}{5}~~}=\cfrac{100}{x}\implies \cfrac{5}{2}=\cfrac{100}{x} \\\\\\ 5x=200\implies x=\cfrac{200}{5}\implies x=40\)

Yes, construction of a quadrilateral is possible when the four sides and one of the diagonal of the quadrilateral is given.

Step by Step explanation:

Steps of constructions of a quadrilateral with four given sides and one given diagonal is as follow :

Therefore, construction of quadrilateral is possible with four sides and given diagonal.

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Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

1k=3

k=3 .........

For the given trinomial that has the factor (x -1), k = 1,

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given a trinomial equation:

f(x)=x^3+kx-4

And also given it has a factor (x - 1)

Thus, at x = 1 the value of the f(x) will be 0

So,

f(x) = x^3 + kx - 4

f(1) = 1^3 + k*1 - 4

0 = 1 + k -4

k = 3

therefore, The value of k = 1 for the given Trinomial that has  the factor (x -1)

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The value of t such that the area under the curve between 1 and 11 equals 0.95, assuming the degrees of freedom is 8, is 1.86.

Degree of freedom refers to the number of independent variables that can be varied in a statistical experiment or analysis. It is a measure of the flexibility of the experiment or analysis to accommodate new data or observations.

In this case, the degrees of freedom is 8. To find the t-value, the t-table must be consulted. The t-table is a chart of t-values for different degrees of freedom. The t-value is the value at which the area under the curve between 1 and 11 equals 0.95. The t-table is organized such that the rows represent the degrees of freedom and the columns represent the area under the curve. For example, if the degrees of freedom is 8 and the area under the curve is 0.95, the t-value can be found in the row for 8 degrees of freedom and the column for 0.95 area under the curve. The t-value from the t-table in this case is 1.86.

Therefore, the value of t such that the area under the curve between 1 and 11 equals 0.95, assuming the degrees of freedom is 8, is 1.86.

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The value of t such that the area under the curve between 1 and 11 equals 0.95, assuming the degrees of freedom is 8, is 1.86.

Degrees of freedom refer to the number of independent variables that can be varied in a statistical experiment or analysis. It is a measure of experimental or analytical flexibility to accommodate new data or observations.

In this case there are 8 degrees of freedom. To find the t value, we need to refer to the t table. A t-table is a plot of t-values ​​for different degrees of freedom. The t-value is the value at which the area under the curve between 1 and 11 is 0.95. The t-table is organized so that rows represent the degrees of freedom and columns represent the area under the curve. For example, if you have 8 degrees of freedom and the area under the curve is 0.95, find the t-value in the row with 8 degrees of freedom and the column with area under the curve of 0.95. In this case, the t-value in the t-table is 1.86.

Therefore, the value of t is such that the area under the curve between 1 and 11 is 0.95, assuming 8 degrees of freedom is 1.86.

The area between -t and t = 0.95

P(t₈ > t) = P(t₈ - t)

= 0.025

As t - distⁿ is symmetrical and are under the curve is 1 and degree of freedom is 8.

Hence, from t - table; the t - value = 2.306

i.e. P(t₈ > 2.306) = 0.025

or P(-2.306 < t₈ < 2.306) = 0.95

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The complete question is as follows:

Answer:

X = 2

Y=7

Step-by-step explanation:

The explanation is in the pictures

Answer:

x=2, y = 7.

As an ordered pair the solution is (2, 7).

Step-by-step explanation:

5x - 6y = -32

3x + 6y = 48​

Adding the 2 equations, we eliminate the terms in y:

8x +0 = 16

x = 16/8 = 2.

Now substitute x = 2 in the first equation:

5(2) - 6y = -32

10 + 32 = 6y

6y = 42

y = 7.

Answer:

the domain would be all real numbers

Step-by-step explanation:

The equation would be y = -1(x -3) + 2

Helping in the name of Jesus.

g(f(x)) = -10x - 18, which can be written as [-10]x + [-18].

How to find and what is an equation?

To find g(f(x)), we first need to find f(x) and then substitute it into g(x).

f(x) = 5x + 7

Substituting f(x) into g(x):

g(f(x)) = g(5x + 7) = -2(5x + 7) - 4

= -10x - 14 - 4

= -10x - 18

Therefore, g(f(x)) = -10x - 18, which can be written as [-10]x + [-18].

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions, separated by an equal sign. The expressions on either side of the equal sign may contain variables, constants, and mathematical operations.

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Answer and Explanation: We will find the area of the given shape:

To find the area, we will count the number of squares of the shaded area.

While calculating the area for a more accurate estimate, we count the square as “1” if the shaded region covers more than half of each square. By counting the squares, the area is approximately 50 square units.

Answer:

Step-by-step explanation:

1376!

Answer:

yeah it's 1367

Step-by-step explanation:

I did the math!!!!

Answer:

Rafael will read 240 pages

Answer:

240

Step-by-step explanation:

Answer:

LCD(1/6, 4/9) = 18

In fraction form:

1/18

\(\large\underline{\sf{Solution-}}\)

\( \sf \: \frac{1}{6} and \frac{4}{9} \\ \)

\( \sf = \frac{1}{6} + \frac{4}{9} \\ \)

\(\textsf{Take the LCM of 6 and 9 is 18 }\\\)

\( \sf \: = \frac{3 + 16}{18} \\ \)

\( = \sf \frac{19}{ 18} \\ \)

The total cost of pizza and drinks, is an illustration of a linear function.

The model that represents the situation is: \(\mathbf{10 + 3d = 19}\)

The given parameters are:

\(\mathbf{Total =19}\)

\(\mathbf{1\ pizza =10}\)

\(\mathbf{1\ drink =d}\)

The cost of 3 drinks will be 3d

The total cost would then be:

\(\mathbf{Total = 10 + 3d}\)

Substitute 19 for Total

\(\mathbf{10 + 3d = 19}\)

Rewrite the above equation as:

\(\mathbf{3d + 10 = 19}\)

Hence, the model that represents the situation is: \(\mathbf{10 + 3d = 19}\)

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If a pack of 50 pencils cost $5.45 then a single pencil costs $0.109.  

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost of a pack of 50 pencils = $5.45.

To find the cost of one pencil,

Use ratio property,

50 pencil costs = $5.45

1 pencil costs = 5.45 / 50 =  $0.109

Cost of one pencil is $0.109.  

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Answer:

No solution!

Just turned it in <3

Answer:it doesn’t have roots

Step-by-step explanation:

See attached

Answer: Symmetric property of equality

This is the idea that if x = y, then y = x. We can swap the left and right sides of an equation, and still mean the same thing. The same applies to congruences as well.

Answer: Distance: 9.43398113206

The annual investment amount required to accumulate a reserve fund of $50,000 in 10 years, assuming an annual return of 5%, is approximately $3,720.

To calculate this, we can use the formula for the future value of an ordinary annuity: \[FV = P \times \left( \frac{{(1 + r)^n - 1}}{r} \right),\] where \(FV\) is the future value (desired reserve fund amount), \(P\) is the annual investment amount, \(r\) is the annual interest rate (in decimal form), and \(n\) is the number of years. Rearranging the formula to solve for \(P\), we have: \[P = \frac{{FV \times r}}{{(1 + r)^n - 1}}.\]Substituting the given values into the formula, we get: \[P = \frac{{50000 \times 0.05}}{{(1 + 0.05)^{10} - 1}} \approx 3720.\]Therefore, the business owner would need to invest approximately $3,720 annually to accumulate a reserve fund of $50,000 at the end of 10 years, assuming a 5% annual return.

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The required reference angle of angle 192 is 12. OPtion C is correct.

Given that,
An angle of 192°
Reference angle to be determined.

The angle can be defined as the one line inclined over another line.
Angel over angle is of 360° and angle over line is 180°

The function in mathematics to operate and diagnose the function to make the function simple or more coherent is called simplifying and the process is called simplification.

Since in the question, An angle is given of 192° its corresponding and relatable angle is to be determined.

Here, a standard measure of an angle is 180, So let the reference angle b x, for reference angle the angle must be more or less than 180. So,

x = 192 - 180
x = 12

Thus, the required reference angle of angle 192 is 12. Option C is correct.

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The value of QS is 4.5c + 9.5.

A parallelogram is a four-sided plane figure with opposite sides parallel and equal in length. Its opposite angles are also equal.

Since Q is the midpoint of the diagonals RT and SU in parallelogram RSTU, we have:

QS = 1/2 RT ...(1)

QU = 1/2 SU ...(2)

Also, since RU||ST and RS||UT, we know that triangles QRU and QST are similar by AA similarity, so:

QR/QS = QU/QT

Substituting the given values and using (1) and (2), we get:

QR/(6c - 8) = (c + 7)/QT

Cross-multiplying and simplifying, we get:

QR = (6c - 8)(c + 7)/(2c - 1)

QR = (6c^2 + 34c - 56)/(2c - 1)

QR = 3(2c^2 + 11c - 18)/(2c - 1)

QR = 3(2c - 1)(c + 9)/(2c - 1)

QR = 3(c + 9)

Now, using (1), we have:

QS = 1/2 RT

QS = 1/2 (QR + RU)

QS = 1/2 (3(c + 9) + (6c - 8))

QS = 1/2 (9c + 19)

QS = 4.5c + 9.5

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The situations that show a proportional relationship where distance is proportional to time are:

The situation that shows a relationship where distance is NOT proportional to time is:

The situations where there is NOT enough information are:

Thus:

An airplane that takes off after starting at the end of a runway does not give us enough information to compare time and distance. So also is the runner sprinting at a 100-meter dash, there is no enough information.

A marathon runner running at a constant speed and an airplane flying over a country at constant speed both tell us that the distance is proportional to time because speed = distance/time.

The graph is a straight line graph, therefore, distance is proportional to time.

The table does not show a proportional relationship between distance and time because 5/5 ≠ 25/10 ≠ 50/15

In summary, the situations that show a proportional relationship where distance is proportional to time are:

The situation that shows a relationship where distance is NOT proportional to time is:

The situations where there is NOT enough information are:

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The length of the actual car is 185 inches given that the scale of the model to the actual car is 1:10, and the model is 18 1/2 inches long.

Given that the scale of the model to the actual car is 1:10, and the model is 18 1/2 inches long, we can find the length of the actual car by multiplying the length of the model by the scale factor:

Length of actual car = Length of model x Scale factor

We can convert the length of the model from inches to the equivalent length in the scale using the following formula:

Length in scale = Length in real life ÷ Scale factor

Substituting the values:

Length in scale = 18.5 ÷ 1/10

= 185/10

= 18.5 x 10

= 185 inches

Therefore, the length of the actual car is 185 inches.

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Answer:

y = x -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-2) / 2 - 5

-3/-3

1

y = x + b

-2 = 5 + b

-7 = b

y = -7

y = x -7

The total amount the mechanic will need in retirement savings to meet their retirement income goal is $880,000.

Option A.

The total amount the mechanic will need in retirement savings to meet their retirement income goal is calculated as follows;

80% of  $44,000 = ?

= 0.8 x  $44,000

= $35,200

The amount needed to generate $35,200 annually at a 4% withdrawal rate is calculated as follows;

Let the amount = x

0.04x = $35,200

x = $35,200/0.04

x = $880,000

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Answer:

7 1/2

Step-by-step explanation:

So, we have the problem 4 1/2 x 1 2/3.

Lets convert both of these mixed fractions into improper fraction, because it would be much easier to multiply.

4 1/2= 9/2 as an improper fraction

1 2/3= 5/3 as an improper fraction

Now, lets multiply!

9/2 x 5/3

Lets multiply the numerators first.

9 x 5 is 45

Now, the denominators.

2 x 3 is 6

So, 9/2 and 5/3 is 45/6

Lets convert 45/6 into its mixed fraction form

45/6 as a mixed fraction would be 7 1/2

Hope this helped :)

a) √2 t |1, -1>

b ) t√0 |0, 1>=0

c) 2t² |1, -1> are the eigenstates of S² with the appropriate eigen value.

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that changes by a scalar factor when the linear transformation is applied to it. The associated eigenvalue, generally indicated by lambda, is the factor by which the eigenvector is scaled.

Eigenvalues and eigenvectors play an important role in the analysis of linear transformations. The prefix eigen- comes from the German word eigen, which means "property," "characteristic," or "own."

a) S- |1,0>= t√(1+0)(1-0+1) |1, 0-1>

=t√2 |1, -1>

=√2 t |1, -1>

∴S±(s, m>=t√(s±m)(s±m+1) |s, m±1>

b) S₊ |0, 0>= t√(0-0)(0+0+1) |0, +1>

=t√0 |0, 1>=0

S₋ |0, 0>=t√(0+0)(0-0+1_) |0. -1>

c) S² |1, 1>= 1(1+1)t² |1, 1>

=2t² |1, -1>

∴ S² |s, m>=s(s+1)t² |s, m>

Hence, |1, -1> and |1, -1> are eigen function of S² with eigen value 2t²s.

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Answer:

k(x)=x³- x { is an odd function}

Step-by-step explanation:

One way to think about it is what happens when you take f of negative x? If f of negative x is equal to the function again, then we're dealing with an even function. If we evaluate f of negative x, instead of getting the function, we get the negative of the function, then we're dealing with an odd function.

In the first image above we can see that odd are like letter N so when you graph each of the options the one that is like the letter N is an odd function like the k(x)=x³- x graph in the second Image

They should put about 7 carrots in the ice chest.