Can the length 4.5 cm 3.5 cm 6.4 cm be the dimensions of a triangle?

There are an infinite number of planes in a 3 dimensional coordinate system.

The 3 dimensional coordinate system is made up of three axes (x, y, and z) that are all perpendicular to each other. These axes create a 3D space that can be used to plot points and objects. In this 3D space, an infinite number of planes can be created. Planes are defined by a mathematical equation that gives the values of the x, y, and z components. These equations can be manipulated to create planes that are parallel, perpendicular, or angled in relation to the coordinate system axes. Additionally, planes can be shifted up, down, left, right, forward, and backward, creating an infinite number of potential planes in a 3D coordinate system.

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Reason:

Subtract 5 from both sides

[tex]\sqrt{\text{x}}+5 = 0\\\\\sqrt{\text{x}}=-5\\\\[/tex]

But recall that the range of the parent square root function is the set of nonnegative values. There's no way to have [tex]\text{y} = \sqrt{\text{x}}[/tex] produce a negative number.

Therefore, the equation [tex]\sqrt{\text{x}}=-5[/tex] has no solutions.

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Here's what happens if we squared both sides

[tex]\sqrt{\text{x}}=-5\\\\(\sqrt{\text{x}})^2=(-5)^2\\\\\text{x}=25\\\\[/tex]

That's the potential answer, but we need to verify.

[tex]\sqrt{\text{x}}+5 = 0\\\\\sqrt{25}+5 = 0\\\\5+5 = 0\\\\10 = 0\\\\[/tex]

We get a contradiction, which rules out x = 25 being a possible solution.

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If you are a visual learner, then check out the graph below.

The curve [tex]\text{y} = \sqrt{\text{x}}+5[/tex] never touches the x axis; this means there's no way for it to have a root and it verifies why [tex]\sqrt{\text{x}}+5 = 0[/tex] has no solutions.

I used GeoGebra to make the graph, but Desmos is another useful option.

The roots of a quadratic equation are the values of x for which the equation holds true. aα^2+bα+c=0 if and only if α is a root of the quadratic equation.

A quadratic equation has the conventional form ax^2+bx+c=0, where a, b, and c are real values and a0.

The coefficient of x^2 is "a." The quadratic coefficient is what it is termed. The coefficient of x is "b." The linear coefficient is its name. The constant term is "c."

The roots of a quadratic equation are the values of x for which the equation holds true. aα^2+bα+c=0 if and only if α is a root of the quadratic equation.

A quadratic equation may have two real roots that are different from one another, two equal roots, or no real roots at all.

The locations where the graph of the quadratic polynomial intersects the x-axis are known as the roots of a quadratic equation graphically.

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The degree measures of angles d, e, and f are 64 degrees, 99 degrees, and 17 degrees, respectively.

What is the measures of the angles in a triangle?

If we add all three angles in any triangle we get 180 degrees. So, the measure of angle A + angle B + angle C = 180 degrees. This is true for any triangle in the world of geometry.

A) The sum of the angles in a triangle is 180 degrees. Using this fact, we can write:

m∠d + m∠e + m∠f = (4x-4) + (6x-3) + x = 11x - 7

Since this is the sum of the angles in the triangle, it must equal 180 degrees. Therefore, we can write:

11x - 7 = 180

Solving for x:

11x = 187

x = 17

Therefore, x = 17.

B) Now that we know x, we can find the measure of each angle by substituting it into the expressions given for each angle:

m∠d = 4x - 4 = 4(17) - 4 = 64 degrees

m∠e = 6x - 3 = 6(17) - 3 = 99 degrees

m∠f = x = 17 degrees

Therefore, the degree measures of angles d, e, and f are 64 degrees, 99 degrees, and 17 degrees, respectively.

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The rate of change in the equation y = 15x + 20 is 15. This means that for every increase of 1 unit in x (1 month), the total cost y will increase by 15. So the cost per month is 15 dollars.

The initial value in the equation y = 15x + 20 is 20. This means that when x = 0 (i.e. no months have passed), the total cost y is equal to 20 dollars. So the initial membership fee is 20 dollars.

Answer:

Through from posted good new dts day utilities january home tub just further january kg has last jan free k be page with questions 2:5

The restaurant owns the 225 forks if 4% of the fork owned by the restaurant.

Percentage are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

A dishwasher at a restaurant washes 9 fork.

These fork represent 4% of the fork owned by the restaurant.

Now, Solving the question:

We can get our answer by displaying as an equality

= 9 to 4/100

= x to 100/100

You can multiply 4 by 25 to get 100 so to get the amount of forks, multiply 9 by 25

=9 × 25 = 225

Hence, The restaurant owns the 225 fork.

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Therefore ,the solution of unitary method is monthly salary for the gym employee will be $1500.

Finding the variable value of a single unit and multiplying it by the number of units is the unitary method's formula for arriving at the required value.

Here,

Given:

the amount that he earns monthly would be

= Total amount / Number of months

= $4500 / 3

= $1500

Thus He earns $1500 monthly.

The money that; the gym employee earns in 5 months would be:

= 7 × $1500

= $10500.

Therefore ,the solution of unitary method is monthly salary for the gym employee will be $1500. The employee at the gym will make $10500 over the course of five months.

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Answer:

Step-by-step explanation:

this is how I do it in Vietnam, if you don't understand, ask me

Answer:

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According to the picture we have:

Find the measure of angle PDK, using sum of angles of ΔPDK:

Find x, using sum of angles of ΔBDC:

(-4,0) would be a solution of the given system of inequality. Option A is the correct option.

What is the solution to the system of inequalities?

A linear inequality's solution is the ordered pair that is a solution to all inequalities in the system, and the graph of the linear inequality is the graph of all system solutions. In the same coordinate plane, graph one line at a time and shade the half-plane that satisfies the inequality.

Given the system of inequality is

y<-3x-6

4x-2y<-8

If (a,b) is the solution to the system of inequalities, then x=a, and y=b will satifies given system of inequalities.

Given points are (-4,0) and (0,2)

Putting x = -4 and y=0 in the given system of inequalities:

0<-3(-4)-6

→0<12-6

→0<6 (true)

4(-4)-2×0<-8

→-16<-8 (true)

Thus (-4,0) is a solution of the inequalities.

Putting x = 0 and y=2 in the given system of inequalities:

2<-3(0)-6

→2<-6 (false)

4(0)-2×2<-8

→-4<-8 (false)

Thus (0,2) is not a solution of the inequalities.

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The expression that will help Eshaal determine the length of segment BC is: BC = DE - AB

Since segments DE and AB are parallel, we can use the following expression to calculate the length of segment BC: BC = DE - AB. This expression states that the length of BC is equal to the length of DE minus the length of AB.

If segments DE and AB are parallel, we can use a simple expression to find the length of segment BC. This expression is: BC = DE - AB. This expression states that the length of BC is equal to the difference of the length of DE and the length of AB. In other words, if we know the lengths of segments DE and AB, we can calculate the length of segment BC by subtracting the length of segment AB from the length of segment DE. This expression is a useful tool for finding the length of segment BC when we know the lengths of segments DE and AB. It is a simple and efficient way to calculate the length of segment BC without having to measure it directly.

the complete question is : If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?If segments DE and AB are parallel, what expression can Eshaal use to determine the length of segment BC?

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A way to multiply a number and display it several times. by creating a basis using the number and the repeats.

A method of displaying several times of the same number multiplied. by forming a base with the number of repeats and the number. Its upper right has a little number written on it.

A number is typically written in exponential notation as a coefficient between 1 and 10 times the exponent, which is an integral power of 10. Write a number in the form: c 10n, where c is a number between 1 and 10 (for example, 1, 2.5, 6.3, 9.8) and n is an integer, to represent it in exponential notation (e.g. 1, -3, 6, -2).

When we expand a number to show the value of each digit, we do so by dividing it into its place values.

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[tex]\dfrac{10}{2+3} +\dfrac{6+3}{3}[/tex]

[tex]\dfrac{10}{5} +\dfrac{9}{3}[/tex]

[tex]\dfrac{10}{5} \rightarrow2\\\dfrac{9}{3} \rightarrow3[/tex]

[tex]2+3[/tex]

[tex]=\fbox{5}[/tex]

Answer:

your answer is 5/12

Step-by-step explanation:

becuase im right

Answer:

True

That is the formula to solve an inequality

30 words in 5 minutes following the arm break.

This technique allows us to calculate both the value of multiple units from the value of a single unit and the value of single unit from the value of multiple units.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique.

We typically utilize this technique for math calculations.

This approach will be helpful to you while tackling problems involving ratio and proportion, algebra, geometry, etc

According to our question-

45 words in five minutes before to breaking his arm

9*5=45 6*5=30

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The way to analyze data using frequency tables will be:

A frequency table is a way to organize and summarize data by counting the number of times each value appears in the data set. To examine and analyze data using a frequency table, you can follow these steps:

You can also use the frequency table to create graphical representation of data like histograms, bar charts, and pie charts to make the data more visually appealing and easier to understand.

Based on the analysis, you can make conclusions about the data and make decisions. Overall, frequency tables can be very useful in understanding the distribution of data and identifying patterns and trends.

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Complete question

How do one examine and analyze data using frequency tables?

The number we obtain when we divide one number by another is the quotient.

The quotient is indeed the answer that is obtained when the dividend is divided by the divisor in a division problem.

The quotient can be an integer or a decimal number. When a number is completely divisible by another number, the quotient is a whole number.

When a number is not completely divisible by another number, the quotient is a decimal number.

The number is divided by another number to get a different number as an output.

Dividend = Quotient × Divisor + Remainder

If the remainder is equal to 0, then;

Dividend = Quotient × Divisor

Therefore,

Quotient = Dividend ÷ Divisor

Dividend: The number which is required to be divided

Divisor: The number which divides the given dividend

Remainder: The number which is left after the division method. When a number is completely divided then the remainder is zero.

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A) The price that the store charges its customers for the skis is; $91.20

B) The percent of the original price that is the final price is; 160%

C) The percent INCREASE from the original price to the final price is; 60%

The Percentage increase is defined as the difference between the final value and the initial value, expressed in the form of a percentage.

We are given;

Wholesale price = $57

Markup rate = 60%

From the above information given, the amount of markup will be:

Amount of mark up = 60% × $57

= 0.6 × $57

= $34.20

Therefore, the new price will be:

= $57 + $34.20

= $91.20

In conclusion, the percentage of the original price will be 160% and the percentage increase is 60%.

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Complete question is;

A store that sells skis buys them from a manufacturer at a wholesale price of $57. The store's markup rate is 60%

A. What price does the store charge its customers for the skis?

B. What percent of the original price is the final price?

C. What is the percent INCREASE from the original price to the final price?

As per the unitary method, the smallest that will qualify the window opening per the Code is 7.60 meter.

Here we have given that a basement bedroom must have a window with an opening area of at least 5.7 square feet per the International Residential Code.

Here we have also given that rectangular basement bedroom window opening is 0.75 meters wide.

Let us consider that x be the smallest that will qualify the window opening per the Code.

Therefore, the resulting code is obtained by dividing the area by the width value, then we get,

=> x = 5.7/0.75

Therefore, the value of x is written as,

=> x = 7.60

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The given formula had been changed according to the instruction.

A fact or a rule expressed using mathematical symbols is the formula. An equal sign is typically used to connect two or more quantities. When you are aware of the value of one quantity, you can use the formula to determine the value of the other.

Equations, equalities, identities, inequalities, and asymptotic expressions are a few examples of formulas. In the theory of logic, the word "formula" is also frequently used to refer to a sentential formula, also known as a propositional formula, or a formula in propositional calculus.

Here,

Given :

t = (v-u)/a

T=1001/PR

h = ((A/πr) - 3r)/2

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Therefore , the solution of the given problem of function comes out to be

f(g(x)) = (-2x-3x2)⁵

When the result of one function is used as the input for another, this is known as a composite function. The function f g (x) fg(x) fg(x) fg(x), also known as "f of g of x" or "f g fg fg of x," is the composition of the two functions if we have a function f and another variable function g.

Here,

Given,

f(x) = x5

g(x)=-2x-3x₂

f(g(x)) = (-2x-3x2)⁵

Therefore , the solution of the given problem of function comes out to be

f(g(x)) = (-2x-3x2)⁵

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Answer:

To find the unit price of bananas, we need to divide the total price by the number of bananas.

Unit price = Total price / Number of bananas

In this case, the total price is $3.20 and the number of bananas is 4.

Unit price = $3.20 / 4

Unit price = $0.80

So the unit price of bananas in this grocery store is $0.80 per banana.

He should use $5 off coupon to get the better deal. This will make the price of helium tank $33 which is less than $10% off i.e $34.2.

"Coupon" is a term used when bonds were printed on paper. The bondholder would receive a certificate serving as a representation of the bond. On the side of the document would be tear-off coupons that the bondholder could present to the company that issued the bond to receive the coupon payment.

The coupon rates are set by the governments or corporations that issue the bonds, and they can differ significantly depending on the term of the bond and/or the stability of the issuing entity. In order to compensate for the holder's longer wait for the final payment, a 30-year-term bond, for example, might have a higher rate than a note with a 1-year term.

Price when $5 off = 38 - 5

                              = $33

Price when 10% off = 38 - (38 × 5/100)

                                = $34.2

Thus, He should use $5 off coupon to get the better deal.

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The  range of this absolute value function is 5 ≤ y < ∞, the correct option is C

Domain is the set of values for which the given function is defined.

Range is the set of all values which the given function can output.

We start by determining the vertex of the absolute value function

Given;

A graph of the function

Now,

From the graph we can observe that the starting of function in y axis is from 5 and ending is at infinite

Therefore the range will be 5 ≤ y < ∞.

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Yes, the modulus of a complex number is the same as the absolute value.

The modulus of a complex number, z = x + yi, is represented as |z| = √(x² + y²) and it is a scalar value that gives the distance of the complex number from the origin in the complex plane.

The absolute value of a complex number is the same as its distance from the origin in the complex plane. The absolute value of a complex number is also represented as |z| = √(x² + y²) which is the same as the modulus.

The modulus and the absolute value are often used interchangeably when referring to the magnitude of a complex number.

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Sun's diameter is 109.16653 times more than Earth's diameter.

Physical quantities such as length, current, mass, volume, temperature, area, intensity, and others are represented by units of measurement. To express the size of physical quantities, we employ a variety of measuring units, including traditional ones, the metric system, and US customary units.

Units of Length are

Kilometers, Nanometre, Millimeters, Centimeters, Meters, and Decimetres

Here we have

Planet Earth has an approximate diameter of 1.2742×10¹⁰ millimeters.

The sun has a diameter of 1.391×10⁶ kilometers.    

Part I:

Given that, for every kilometer, there are 1,000,000 millimeters,

Here 1000000 = 10⁶

Then the diameter of the earth = 1.2742×10¹⁰/10⁶

= 1.2742×10⁴  

Here using the unit kilometer is best to represent the lengths of the sun and earth's diameter because it allows using fewer digits compare to millimeters.  

Part II

Let Earth's diameter is less 'x' times than Sun's diameter  

=> [ 1.2742×10⁴ ] × x = 1.391×10⁶  

=> x = 1.391×10⁶/1.2742×10⁴ = 1.0916653 × 10² = 109.16653  

Therefore,

Sun's diameter is 109.16653 times more than Earth's diameter.

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Step-by-step explanation:

First, you want to find out how many total marbles there are. We know there are 6 red, 3 blue, and 5 green. So, 6+3+5=14 total marbles. Since there are 3 blue marbles, the probability of selecting a blue marble is 3/14. This is because you are selecting from a bag of 14 total marbles, 3 of which are the color you want.

The following expression shows the main expression after the negative exponents have been eliminated: A. m⁷n³n/m.

In Mathematics, an exponent can be defined as a mathematical operation that is used in conjunction with an algebraic expression to raise a quantity to the power of another and it is generally written as bⁿ.

By applying the property of exponents based on the law of indices for the division of powers, we have the following:

b⁻ⁿ = 1/bⁿ

In this context, the exponent n⁻¹ in the given algebraic expression would be rewritten based on the law of indices for the division of powers as follows;

n⁻¹ = 1/n

Substituting the given parameters into the given algebraic expression, we have the following;

(m⁷n³)/mn⁻¹ = (m⁷n³)/m × n

(m⁷n³)/m × n = (m⁷n³n)/m

(m⁷n³)/mn⁻¹ = m⁷n³n/m

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Answer:

Step-by-step explanation:

its A