how to find the distance between 1.5 and any point,n,on a numberline

Answer:

Step-by-step explanation:

64% as a fraction in its simplest form is 32/50.

As a decimal, 64% is equal to 0.64.

If Jason paid $88.50 in tax on a table that cost $1,180, the tax rate (sales tax) is 7.5%.

The tax rate is the percentage that is paid in tax.

For sales tax (consumption tax), the tax rate is fixed, making it a proportional tax rate system.

For income tax, the tax rate follows a progressive tax rate system.  The percentage of tax increases as the taxable income increases.

Some tax rates are said to be retrogressive as the rates reduce with increased taxable income.

The amount of sales tax on the table = $88.50

The cost of the table = $1,180

Tax rate = 7.5% ($88.50/$1,180 x 100)

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The correlation of coefficient is -0.988 and it is in negative form.

A correlation coefficient is a statistical measure that indicates the strength and direction of the relationship between two variables.

The correlation coefficient is a value between -1 and 1 that indicates the strength and direction of the relationship between the two variables. A positive correlation means that as x increases, y also increases.

A negative correlation means that as x increases, y decreases. And a correlation of zero means that there is no relationship between x and y.

Here by using the correlation coefficient as  −0.988.

Therefore the correlation coefficient is negative, implying that the relationship between heights of a high jump bar and number of people successfully completing each jump is negative.

Complete Question:

The table shows the heights (in feet) of a high jump bar and the number of people who successfully complete each jump. Identify and interpret the correlation coefficient.

Height (ft), x                  Completions, y

4                                          27

4.2                                       22

4.4                                       18

4.5                                       16

4.6                                       11

4.7                                       8

​

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The measure of ∠FXD = 44°,

EG = 14 and ∠FZG = 21°.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is that the sum of its internal angles to 180 degrees. This quality is referred to as the angle sum property of triangles.

Given  a triangle XYZ

and XG, YG, and ZG are angle bisectors,

DG = 14 and ZG = 17

∠DYE = 94°, ∠FXG = 22°

A: to find ∠FXD,

as we know angle bisector divides an angle into two equal parts,

so ∠FXG = ∠GXD = 22°

∠FXD = ∠FXG + ∠GXD

∠FXD = 22 + 22 = 44°

B: to find EG,

since G is the incenter,

Due to the junction point of the central axis being the center of the triangle's inscribed circle, this point will be equally spaced from each of the triangle's sides.

so DG = EG = FG = 14

C: to find ∠FZG,

we have ∠DYE = 94° and ∠FXD = 44°

from angle sum property,

∠DYE + ∠FXD +  ∠FZE = 180°

∠FZE + 94 + 44 = 180

∠FZE = 180 - 94 - 44

∠FZE = 42°

so  ∠FZG = ∠GZE = ∠FZE/2 (due to angle bisector)

∠FZG = ∠GZE = 42/2

∠FZG = ∠GZE = 21°

Hence ∠FXD = 44°,

EG = 14,

∠FZG = 21°.

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Answer:

This inequality has no solution.

Step-by-step explanation:

Solve the inequality.

Start on the left side.

Apply the distributive property.

[tex](2*5V)+(2*7) > 10V+14[/tex]

Simplify the parenthesis.

[tex]10V+14 > 10V+14[/tex]

Subtract [tex]10V[/tex] from both sides of the inequality.

[tex]14 > 14[/tex]

Since [tex]14 > 14[/tex], there are no solutions.

Since Damian dove 5 feet under the water and then went back to the surface, he is now 0 feet below the surface. An integer that represents this is 0.

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The set of integers is frequently represented in mathematical notation by the boldface Z.

An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction.

Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.

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The product of any two even integers is even.

Odd numbers: An odd number is any natural number that can be written as (2n + 1), where n is any natural number, i.e., a positive integer.

Even numbers: Any natural number that can be written as 2n, where n is any natural number, i.e., a positive integer, is referred to as an even number.

The product of two even numbers is even.

Let us suppose m and n be any integers.

So, 2m and 2k are two even numbers.

Take the product as 2m(2k) = 2(2mk), which is even.

Let the two even integers be x1 and x2.

Let x1 = 2

Let x2 = 6

Therefore, the product of x1 and x2 is

x1 * x2 = 2 * 6 = 12

The product is even since it is divisible by 2.

Hence, the product of any two even integers is even.

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Answer:

Step-by-step explanation:

A) To find the length of AD, we first find the length of the CD.

CD = (BE + EC)/2 = (3x + 12 + 6x - 9)/2 = 9x + 3

AD = CD = 9x + 3

B) To find x, we use the fact that DG is the perpendicular bisector of EC and BG. This means that EG = BG = x.

EG = BG = x

EC = 2EG = 2x

Substituting in EC = 6x - 9, we get:

2x = 6x - 9

4x = 9

x = 9/4 = 2.25

C) To find BC, we use the fact that BC = AB - 2BE

BC = AB - 2BE

BC = 10 - 2(3x + 12)

Substituting in x = 2.25, we get:

BC = 10 - 2(3 * 2.25 + 12)

BC = 10 - 2 * 21

BC = 10 - 42

BC = -32

Answer:

AD = 5, x = 7, BC = 66

Step-by-step explanation:

a) We know that DG is a perpendicular bisector, so it should divide AB into two equal parts, each equal to half the length of the total line segment.
So, AD = AB/2
= 10/2
= 5

b) Now, BE and EC are part of the same segment, as they share a common point E. Also, at E we have perpendicular bisector EG.
Again, the two parts BE and EC should be equal.
Given, BE = 3x + 12 and EC = 6x - 9
3x + 12 = 6x - 9
3x = 21
x = 7

c) Now, BC would be twice the length of one of the segments divided by the perpendicular bisector. So, BC = 2BE
= 2 * (3x + 12)
= 2 (3*7 + 12)
= 2 * 33
= 66

This dilemma arises because oscillation requires two degrees of freedom while a equation one-dimensional system can never have more than one. An example of a constrained system is a basic harmonic oscillator.

This paradox results from the fact that oscillation needs two degrees of freedom whereas a one-dimensional system only has one. Position is the only variable in a one-dimensional system, hence oscillation is not feasible. But one example of a restricted system, where a constraint provides an additional degree of freedom, is a straightforward harmonic oscillator. The constraint in this scenario is a spring's force, which acts as a restoring force whenever the system deviates from its equilibrium state. The system can oscillate and move back and forth along the x-axis thanks to this restoring force. Thus, although having only one degree of freedom, the basic harmonic oscillator is an example of a one-dimensional system that can oscillate.

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The unsigned base 9 equivalent of the unsigned decimal integer value is 2233322

Decimal is a base 10 number system that we use in our daily lives to represent numbers.

In this case, the decimal number 6239124 is being converted to an unsigned base 9 equivalent.

To do this, we first divide the decimal number by 9 to get the first digit of the base 9 equivalent.

In this case, 6239124 divided by 9 is 693234 with a remainder of 2. So, the first digit of the base 9 equivalent is 2.

Next, we take the result of the division

=> (693234) / 9 = 76803 with a remainder of 3.

So, the second digit of the base 9 equivalent is 3.

We repeat this process until the result of the division is 0.

The final result is the base 9 equivalent of the decimal number 6239124. In this case, the base 9 equivalent is 2233322.

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It will take approximately 20.7 years for the account value to reach $24000 with an annual interest rate of 7%. To the nearest year, it will take 21 years.

To find out how long it will take for an account with an initial value of $5100 to reach $24000 with an annual interest rate of 7%, you can use the formula:

time = (log(final value/initial value)) / (log(1+interest rate))

So, the time it will take for the account value to reach $24000 is:

time = (log(24000/5100)) / (log(1+0.07))

using the logarithm calculator or log rule

time = (log(4.64)) / (log(1.07))

time ≈ 20.7 years

To nearest year, it would take 21 years.

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A modified version of the original distribution, the sampling distributive of y(1) has an upper bound equal to the minimum value in the sample and a lower bound of 0.

Let y1,..., yn have an f-distribution and be independently and identically distributed (iid) (y).

Ascertain the y(1) = min I yi sampling distribution. The sampling distribution of y(1) has a lower bound of 0 and an upper bound that is equal to the minimum of the sample yi. It is a truncated distribution of the original distribution f(y).

By integrating the initial distribution f(y) from 0 to the minimum of the sample yi, get the probability of each value of y(1).

A reduced version of the original distribution f(y), with a lower bound of 0 and an upper bound equal to the minimum of the sample yi, is the sampling distribution of y(1). We must integrate the initial distribution f in order to calculate this distribution (y)

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Concentric circles are internally tangent circles which is the true statement.

Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons)

Concentric circles are circles that have the same center but different radii.

When two concentric circles are drawn, it is possible for them to be internally tangent, meaning that they touch each other at exactly one point and the point of tangency is inside both circles.

In this case, one circle is entirely contained within the other circle.

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Answer:

answer is 28

Step-by-step explanation:

10(2•4/5)

20 + 8

= 28

When you write it this way you distribute it so 10 is outside the parenthesis so you time 10 to bout of the numbers inside of it then add.

The rectangular coordinates form of r = 12 sinθ is x² + y² - 12y = 0

Given r = 12 sinθ and we are asked to convert this equation into rectangular coordinates.

The relation between polar coordinates (r,θ) and rectangular coordinates (x, y) is given by

                          x = r cosθ and y = r sinθ

Also, r² = (x² + y²)

r = 12 sinθ

Multiplying r both sides

r x r = 12 sinθ x r

   r² = 12r sinθ

We know r sinθ = y and r² = (x² + y²)

So, x² + y² = 12y

x² + y² - 12y = 0

Hence, the rectangular coordinates form is x² + y² - 12y = 0

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Step-by-step explanation: A square root function has a range of y greater-than-or-equal-to 0.

For example, the function f(x) = √x has a domain of x greater-than-or-equal-to 0 and a range of y greater-than-or-equal-to 0. This is because the square root of a positive number is always positive, and the square root of 0 is equal to 0. So, for any value of x greater-than-or-equal-to 0, the corresponding value of y will always be greater-than-or-equal-to 0.

Other functions that have a range of y greater-than-or-equal-to 0 include:

the absolute value function: f(x) = |x|

exponential functions with positive bases: f(x) = e^x, f(x) = 2^x, etc.

any linear function with a positive slope: f(x) = mx + b, where m > 0.

These are just a few examples of functions that have a range of y greater-than-or-equal-to 0.

Antonia should make 18 dozen of Nutty Squirrel and 20 dozen of White Chocolate Blizzard to get the most income, which would be $162.00.

The Nutty Squirrel requires 10 ounces of sugar per dozen, so Antonia can make at most 570 / 10 = 57 dozen of Nutty Squirrel.

Since Antonia has to make at least 18 dozen of Nutty Squirrel, she will make 18 dozen of Nutty Squirrel.

The White Chocolate Blizzard requires 19 ounces of sugar per dozen, so Antonia can make at most 570 / 19 = 30 dozen of White Chocolate Blizzard.

Since Antonia has to make between 9 and 20 dozen of White Chocolate Blizzard, she will make 20 dozen of White Chocolate Blizzard.

Therefore, Antonia should make 18 dozen of Nutty Squirrel and 20 dozen of White Chocolate Blizzard to get the most income, which would be 18 * $9.00 + 20 * $5.00 = $162.00.

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Answer:

WX

Step-by-step explanation:

WX is the only place where you can fold the triangle on that line and the 2 halves would fit perfectly over each other.

The distance between the plane 3z-(x,2y)=0 and the line ⟨3t-3,3t-1,3 3t⟩ is [tex]\frac{18}{\sqrt{14}}[/tex]

To find the distance between the plane 3z-(x,2y)=0 and the line ⟨3t-3,3t-1,3 3t⟩, we will use the formula for the distance between a point and a plane.

First, we find a point on the line by plugging in a value for t. Let's use t=1:

⟨3(1)-3,3(1)-1,3(3)(1)⟩ = ⟨0,-2,9⟩

Next, we find the normal vector for the plane:

n = (1,-2,3)

Finally, we can use the formula for the distance between a point and a plane:

d = |(⟨0,-2,9⟩-⟨0,0,0⟩)•n| ÷ ||n||

where ||n|| represents the magnitude of the normal vector n.

We calculate the dot product:

(⟨0,-2,9⟩-⟨0,0,0⟩)•n = ⟨0,-2,9⟩•(1,-2,3) = 0(-2) + (-2)(-2) + 9(3) = 18

And the magnitude of the normal vector:

||n|| [tex]= \sqrt{1^2 + (-2)^2 + 3^2} = \sqrt{1 + 4 + 9} = \sqrt{14}[/tex]

Putting it all together:

[tex]d = \frac{|18|}{\sqrt{14}} = \frac{18}{\sqrt{14}}[/tex]

So the distance between the plane 3z-(x,2y)=0 and the line ⟨3t-3,3t-1,3 3t⟩ is[tex]\frac{18}{\sqrt{14}}[/tex]

Correct Question:

Find the distance between the plane 3z−(x,2y)=0 and the line ⟨3t−3,3t−1,3 3t⟩⟨3t−3,3t−1,3 3t⟩.

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When introducing a data visualization to your audience, it is important to explain the context and the purpose of the visualization.

This will help your audience understand the visualization and its implications better. Additionally, you should quickly describe each graph and define each parameter to make sure that your audience is familiar with the data they are seeing. Finally, you should give your audience a few moments to process the information before you move on. This will help ensure that they can fully understand and appreciate the visualization.

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Answer: Should be 6

Step-by-step explanation: 4 times for is 12

Then Make sure you divide 12 so u get 6.

A=1/2 BH

Answer:

Below

Step-by-step explanation:

Break each of the legs into vertical and horizontal components so you can add them :

Vertical

  80 sin 55    +     40   sin 132   = 95.258 km

Horizontal

   80 cos 55    +   40 cos 132 = 19.121 km

Use pythag theorem to calculate the distance from origin

d^2 = 95.258^2  + 19.121^2  

    show d = 97.16 km from origin

Angle will be arctan ( 95.258/19.121) = 78.65°   <====this is the bearing of the SHIP from the PORT....the bearing TO the PORT FROM the ship will be   78.165 + 180 = 258.65°

Using the definition of big o notation, t(n) = 32 * 4^n is O(f(n)) = 5^n with c = 26 and n0 = 1.

The definition of Big O notation states that a function t(n) is said to be O(f(n)) if there exist positive constants c and n0 such that |t(n)| <= c * |f(n)| for all n >= n0. In other words, t(n) grows no faster than f(n) as n becomes large.

To find the constants c and n0 that show that t(n) = 32 * 4^n is O(f(n)) = 5^n, we need to find a value of c and an n0 such that:

|32 * 4^n| <= c * |5^n|

for all n >= n0.

Let's start by finding a value for c that works for n = 1. We have:

|32 * 4^1| = 128 <= c * |5^1| = 5c

So, c >= 128 / 5 = 25.6.

Now let's try c = 26. We have:

|32 * 4^n| <= 26 * |5^n|

for all n >= 1.

Since 26 * |5^n| is an increasing function as n increases, we can conclude that:

t(n) = 32 * 4^n is O(f(n)) = 5^n

with c = 26 and n0 = 1.

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There is only 1 possible list of positive integers that have a mean, median, mode, and range of 5

As per the data given,

We have, a lit of 5 positive integers.

The sum of the five positive integers must equal five in order for the mean, median, mode, and range to all be five.

This is because the range of a set of equal numbers will always be 0, the mean of a set of equal numbers will always equal the numbers themselves, the median of a set of equal numbers will always equal the mean, the mode of a set of equal numbers will always equal the numbers themselves, and so on.

Therefore, there is only 1 possible list of positive integers that have a mean, median, mode, and range of 5: [5, 5, 5, 5, 5].

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The number of seeds that Frank will plant, expressed in algebraic form, is equal to 6b + 10.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are Given that, b and (5b + 10) are the seeds to be planted by Frank in different gardens, the number of seeds Frank is going to plant can be expressed in algebraic form by adding both expressions together.

Since Like terms with the same variables are added together.

Thus:

b + 5b + 10

6b + 10

Therefore, the number of seeds that Frank will plant, expressed in algebraic form;

6b + 10.

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The value of the radius of the circle 'r' will be 14 units.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The tangent and radius of the circle intersect at the right angle. Then the value of 'r' is given as,

QT² = QS² + ST²

(r + 36)² = r² + 48²

r² + 72r + 1296 = r² + 2304

72r = 1008

r = 14

The value of the radius of the circle 'r' will be 14 units.

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Answer:

67p + 35

Step-by-step explanation:

Reduce all the unnecessary plus and minus signs. A plus and negative sign equates to just a minus sign.

4p + -7(-5 + -9p) = 4p - 7(-5 - 9p)

Expand the variables in the brackets. These take priority over regular evaluation of the other signs. Two negative values multiplied together produces a positive product.

4p - 7(-5 - 9p) = 4p + 35 + 63p

Add all like products together.

4p + 35 + 63p = 67p + 35

Check that the final simplification can no longer be simplified.

Answer:

voir ci-dessous

Step-by-step explanation:

1.

Programme 1:  choisi nombre par example, 2, prendre son carré, donc c'est 2²; ajourter5, donc c'est 4+5 =9  

Programme 2:  choisi nombre par example, 5, ajourter5, donc c'est 5+5 =10; prendre son carré, donc c'est 10²=100

2. f(x)=(x+5)² c'est programme 1; g(x)=x²+5 c'est programme 2

3. programme pour h(x) = (x+3)²:

voila.

Yes, it is true to say that objects only attract each other if they have different charges if we exclude non-electrostatic forces.

This is because electrostatic forces between charged objects follow Coulomb's law, which states that the force between two point charges is proportional to the product of their charges and inversely proportional to the square of the distance between them. According to Coulomb's law, if two objects have the same charge, they will repel each other, while if they have different charges, they will attract each other.

This observation can be made in a lab by charging two objects with different charges (e.g. positive and negative) and observing their attraction towards each other, and then charging two objects with the same charge (e.g. both positive or both negative) and observing their repulsion from each other.

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