Select the correct answer from each drop-down menu.
A researcher is examining the claims made by water softener salt manufacturer. He performs an experiment using water from a variety of sources. For
each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is v because the sample is MEY In this instance, an
v study was
performed.

Answer:

0.41

Step-by-step explanation:

1) The earthquake at New Madrid was of greater intensity than earthquake at San Francisco.

2) The earthquake at New Madrid was of lesser intensity than earthquake at Valdivia.

3) The earthquake at New Madrid was of greater intensity than earthquake at  Charlottesville.

4) The earthquake at New Madrid was of greater intensity than earthquake at  Kobe.

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The question is incomplete. The complete question is

In 1812, an earthquake of magnitude 7.9 shook New Madrid, Missouri. Compare the intensity level of that earthquake to the intensity level of each earthquake below.

1. magnitude 7.7 in San Francisco, California, in 1906

2. magnitude 9.5 in Valdivia, Chile, in 1960

3. magnitude 3.2 in Charlottesville, in 2001

4. magnitude 6.9 in Kobe, Japan, in 1995

According to the question, the solution for the equation [tex]ln(x)=2[/tex]  is [tex]e^{2}[/tex]. And the procedure for the given equation is as follows:

Expression: [tex]ln(x)=2[/tex]

Removing logarithmic function from the equation, equate it to exponential. Therefore, the expression can be re-written as:

                                  [tex]ln(x)=2\\(x)=e^{2}[/tex]

Therefore, the solution for the equation is :[tex]x=e^{2}[/tex].

What is logarithmic function?

In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.

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Answer:477.47 revolutions

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

11 = 3x+2
9 = 3x
x = 3

Using given algebraic equation, Keelan collected 431 tokens.

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

At least one variable and one operation must be present in an algebraic expression (addition, subtraction, multiplication, division). One such algebraic statement is 2(x + 8y).

You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic statement. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we may substitute those values for the original variables before evaluating the expression.

Given,

p=20x+75

p = 8695

8695 = 20x + 75

x = 8695 - 75 / 20

x = 431

Therefore Keelan collected 431 tokens.

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The point of discontinuity for y= x²-x-2 / 3 x²-7 x+2 is x= 1/3 and x= 2.

What is discontinuous function?

Mathematics, functions, and applications all place a premium on continuous functions. But not every function is continuous. A function is said to have a discontinuity there if it is not continuous at that point in its domain.

Given,

y = x²-x-2 / 3 x²-7 x+2

It can be expressed in the form of -

⇒ y = (x-2) (x+1) / (3x-1) (x-2)

The function will be undefined if the denominator will be 0

⇒ 3x-1 = 0

⇒ x = 1/3

⇒ x-2 = 0

⇒x = 2

So, we can conclude that the given function will be having points of discontinuity as x = 2, 1/3

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The inequality that represents the given situation is 13x - 9 > 4.5x + 8

From the question, we are to determine the inequality that represents the given situation

From the given information, we have that

The length of the laptop is given by 13x - 9 units

and

The width of the laptop is given by 4.5x + 8 units

If the length is greater than the width, then we can write that

13x -9 > 4.5x + 8

Hence, the inequality is 13x - 9 > 4.5x + 8

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Answer:

d-(8,15)

Step-by-step explanation:

69497694646946464646463434644

The mass ratio of the rocket is 10.8468 kg/C.

Given:

To find: Mass ratio (R) = ?

Finding:

On substituting the values of 'c', 't', 'v', we get:

6.9 = - 0.0098 (50) + 3.1 (ln (R) )

=> 6.9 + 0.49 = 3.1 (ln (R) )

=> 7.39 =  3.1 (ln (R) )

=> ln (R) = [tex]\frac{7.39}{3.1}[/tex]

=> R = [tex]e^{\frac{739}{310}}[/tex] ≈ 10.8468

Hence, the mass ratio of the rocket is 10.8468 kg/C.

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Answer:

[tex] {1.4 \times 10}^{3} | [/tex]

Step-by-step explanation:

*winks and runs off ;)*

1) The converse of the function is; If not q, then p

2) The Inverse of the function is; If not p, then q.

3) The contrapositive of the function is; If q, then not p

Suppose we have a conditional statement, If it is raining, we will not play. Let, A: It is raining and B: we will not play. Then; If A is true, that is, it is raining and B is false, that is, we played, then the statement A implies B is false.

The conditional statement is given as;

If p, then not q.

1) The converse of the function is; If not q, then p

2) The Inverse of the function is; If not p, then q.

3) The contrapositive of the function is; If q, then not p

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Probability of at least one boy and one girl = [tex]\frac{3}{4}[/tex]

The probability of no of boys = 1/2 ×1/2×1/2= 1/8

The probability of no of girls = 1/2×1/2×1/2= 1/8

Now we have to find the probability of at least one girls

Probability of one boy and one girl = 1 - (1/8 + 1/8)

                                                           = 1 - 1/4

                                                           = 3/4

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Answer:

8.3333333 square & root of 25

Step-by-step explanation:

Answer:

1/20 = 5%

Hope this helps with your question :)

Step-by-step explanation:

1. Multiply numerator and denominator by 5 to get 100 in the denominator.

1/20 = 5/100

2. A number over 100 means it is that number on top of 100.

5/100 = 5% out of 100%

3. So final answer is 5%

The probability that at least one ball of each color is chosen is 105/8568.

Given that:-

Number of red balls in the urn = 5

Number of white balls in the urn = 6

Number of blue balls in the urn = 7

We have to find the probability that at least one ball of each color is chosen.

Let us consider the that 1 ball of each color has been chosen.

Hence, we are left with 4 red balls, 5 white balls and 6 blue balls.

Now we have to choose 2 balls from them.

Hence,

Number of ways in which we can choose 2 balls from (4+5+6) that is 15 balls = [tex]^{15}C_2=105[/tex]

Total number of ways in which we can choose 5 balls from 18 balls =

[tex]^{18}C_5=8568[/tex]

Hence,

Probability that at least one ball of each color is chosen = 105/8568

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The three positive integers are 34, 35, 36

Three positive integers are given as (x-1),x and (x+1)

Sum of these three integers are 105,

As we know the total sum of the three positive integers, we can get the value by adding the three integers to the sum value.

Thus,

(x-1) + x + (x+1) = 105

x - 1 + x + x + 1 = 105

3x + 0 = 105

3x = 105

x = 105/3

x = 35

Then, the integers are (35 - 1) , 35 , (35 + 1)

Therefore, the three positive integers are 34, 35, 36

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Answer: 225

Step-by-step explanation:

I may not be right but I’m taking that ascends is basically adding up the height so 150+75=225

The answer of the logarithmic form is -2 .

We have given an equation [tex]log_2\frac{1}{4}[/tex]   ..... (1)

Applying the property of logarithm which is given by [tex]log_xy=\frac{log_ay}{loh_ax}[/tex]  in equation (1) ,we get

     [tex]log_2\frac{1}{4}=\frac{log\frac{1}{4} }{log2}[/tex]                      ..(2)

[tex]log\frac{1}{4}[/tex] can be written as [tex]log1-log4[/tex] using property [tex]log\frac{a}{b} =loga-logb[/tex] whereas [tex]log1=0[/tex]

Then , the equation (2) becomes

       [tex]log_2\frac{1}{4}=\frac{log1-log4 }{log2}\\\\log_2\frac{1}{4}=\frac{0-log4 }{log2}\\\\log_2\frac{1}{4}=\frac{-log4 }{log2}[/tex]

[tex]log4[/tex] can be written as [tex]log2^2[/tex]

The equation (2) becomes

                    [tex]log_2\frac{1}{4}=\frac{-log2^2 }{log2}[/tex]                

   using property [tex]loga^b=bloga[/tex]

           [tex]log_2\frac{1}{4}=\frac{-2log2 }{log2}\\log_2\frac{1}{4}=-2[/tex]

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Since in the image above angle 3 is 79 degrees, angle 11 is also equal to 79 degrees based on the vertical angles theorem.

Parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

The vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are generally formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

In Geometry, when two (2) parallel lines are cut by a transversal, the interior angles that are formed on the same side of the transversal are supplementary angles, which makes:

Angle 3 = Angle 14

Angle 14 = Angle 9

Angle 3 ≅ Angle 9 (Congruent angles or supplements of the same angle)

By applying the vertical angles theorem, we have:

Angle 9 ≅ Angle 11 = 79 degrees.

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Answer:

#4:    7.5

#5:    28

Step-by-step explanation:

Polygon in #4

is a triangle
base = 1 - (-2)  = 1+2 = 3
height = 1-(-4) = 1 + 4 = 5

Area of a triangle with base b and height h = (1/2)b.h

So area of this triangle = (1/2) (3) (5) = 15/2 = 7.5

Polygon in #5
is a rectangle with length = 7 - (-7) = 7 +7 = 14

and width = 5-3 = 2

Area of a rectangle with length l and width w = lw

Area of this rectangle = 14 x 2 = 28

Hope that helps

The area of the polygon for exercise 4 is 7.5 square units and for exercise 5 the area is 28 square units.

The space occupied by the object in two-dimensional space is called as the area.

For a triangle, the area will be calculated as,

base = 1 - (-2)  = 1+2 = 3

height = 1-(-4) = 1 + 4 = 5

Area of a triangle with base b and height,

h = (1/2)b.h

Area of this triangle,

A = (1/2) (3) (5) = 15/2 = 7.5

Rectangle with length = 7 - (-7) = 7 +7 = 14

Rectangle width = 5-3 = 2

Area of a rectangle with length l and width w = lw

Area of this rectangle = 14 x 2 = 28 square units

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The sides of angle 4 will be side CD and side DG.

We are given a ray diagram.

We need to tell the sides or the rays of the angle 4.

an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.

Here, angle 4 has the sides as CD and DG.

Therefore, the sides of angle 4 will be side CD and side DG.

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Answer: The answer is B

The solution to the equation 3 - 1/2d = 3/2d + 4 - d is d = -7

The expression is given as

3 - 1/2d = 3/2d + 4 - d.

Multiply through the expression by 2

So, we have

6 - d = 3d + 8 - 2d

Evaluate the like terms

6 - d = d + 8

Evaluate the like terms

2d = -14

Divide by 2

d = -7

Hence, the solution to the equation 3 - 1/2d = 3/2d + 4 - d is d = -7

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The perimeter of the polygon is 12.

The perimeter of a closed figure is the sum of the lengths of its outermost sides. It is the sum of the lengths of a polygon's sides. All sides add up to the perimeter.

The distance between the two points A(x, y) and B(x₁, y₁ ).

AB = √ [ (x₁ - x)² + (y₁ - y)² ]

Consider the vertices U ( -1, 4), V (3, 4), W (3, 1).

Then,

UV = √ [ ( 3 +1)² + (4 - 4)² ] = √4² = 4

VW = √ [ ( 3 - 3)² + ( 1 - 4)² ] = √(- 3)² = 3

UW = √ [ ( 3 + 1)² + ( 1 - 4)² ] = √ [ ( 4)² + (-3)² ] = √ [ 16 + 9 ] = √25 = 5

Then the perimeter of the polygon will be:

perimeter = UV + VW + UW

perimeter = 4 + 3 + 5 = 12

Hence, the perimeter of the polygon is 12.

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The time taken by Sonia to mow 2.5 acres of land with push mower is 3.125 hours .

According to the question we have been given that

    Time taken by push mower to mow 1 acre land = 1.25 hours

     Time taken by Gas mower to mow 1 acre land = 35 minutes

We need to find how many hours Sonia take to mow 2.5 acre of land with push mower.

To find this we will use unitary method. That is

                    1 acre = 1.25 hours

                    2.5 acre = 1.25*2.5 hours

                                 = 3.125 hours.

Hence the time taken by Sonia to mow 2.5 acres of land with push mower is 3.125 hours .

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The measure of the angles m∠JKL = (10x + 5)° and m∠PLK = (12x - 1)° are 25 degrees and 23 degrees respectively.

Parallel segments are defined as lines on a plane that never meets.

The properties of parallel segments include:

Given the angles;

We can see that the two angles are vertically opposite angles and thus equal.

Then,

m∠JKL  = m∠PLK

substitute the values

10x + 5 = 12x - 1

collect like terms

10x - 12x = -1 - 5

-2x = - 6

Make 'x' the subject of formula

x = 3

But:

m∠JKL = (10x + 5)° = 10(2) + 5 = 25°

m∠PLK = (12x - 1)° = 12(2) - 1 = 23°

Thus, the measure of the angles m∠JKL = (10x + 5)° and m∠PLK = (12x - 1)° are 25 degrees and 23 degrees respectively.

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Answer:

This equation has one solution I believe if you substitute the variable 68.3375

Step-by-step explanation:

Answer: There is none

Step-by-step explanation:

Taking into account the definition of a system of linear equations, you little brother has 6 dimes.

A system of linear equations is a set of equations that have more than one unknown, appearing in several of the equations but necessarily in all of them. The equations relate the unknowns to each other.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. In other words, the values ​​of the unknowns must be sought, with which when replacing, they must give the solution proposed in both equations.

In this case, a system of linear equations must be proposed taking into account that:

You know that:

The system of equations to be solved is

[tex]\left \{ {{d+n=42} \atop {0.1d + 0.05n=3}} \right.[/tex]

It is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.

In this case, isolating the variable "n" from the first equation:

n= 42 -d

Replacing this expression in the second equation obtained:

0.1d + 0.05×(42 - d)= 3

Solving:

0.1d + 0.05×42 - 0.05d= 3

0.1d + 2.1 - 0.05d= 3

0.15d + 2.1=3

0.15d= 3 -2.1

0.15d= 0.9

d= 0.9÷0.15

d= 6

Finally, you little brother has 6 dimes.

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