Find the echelon form of this augmented matrix, written so there are 1's on the diagonal. 1 - 1 2 400 100 900 1 -3 7 - 300​

Answer: Yes, this statement is true. If the number x² y is a negative integer, it means that x² is a positive integer and y is a negative integer. Therefore, -y would be a positive number.

Step-by-step explanation:

CJ's plan to construct a square inscribed in a circle is through 7 steps.

step 1:

First, draw a circle using a compass (any size).

Step 2:

Using a ruler, draw a diameter or straight line along the length of the circle and pass through its center.

Step 3:

Then open the compass through the circle. Then bring the compass tip to one end of the diameter and swing the compass over the circle to draw an arc.

Step 4:

Keeping the compass the same length, move it to the other side of the diameter, swing it over the circle again, and create another arc until the two arcs intersect. Step 5:

Repeat steps 3 and 4, this time using the same compass size to create an arc under the circle.

Step 6:

Connect the top and bottom intersections of the circle with a ruler or ruler. This creates a perpendicular bisector that bisects the diameter and forms a 90 degree angle.

Step 7:

Finally, use a ruler to connect each corner point to create a square. 

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Answer:

Below

Step-by-step explanation:

From the image below you can see that

90 F  + 60 L   = 160 miles

and given F + L = 2 hours       re arrange to  F = 2 - L  

                                      and substitute this "F" into the first equation

90 (2-L )  + 60 L = 160           Solve for L

180  - 90 L     + 60 L     = 160

180 - 30 L = 160

- 30 L = -20

L = 2/3 hr       then   F = 1  1/3  hr       ( because they add to '2' )

The yellow arches of a big M is not an example of a quadratic equation in real life.

What is quadratic equation ?

Quadratic equation can be defined as equation in which it is in the form of ax^2+bx+c = 0

where c is constant.

A quadratic equation is an equation in which the highest power of the variable is 2. In real life, many phenomena can be modeled by quadratic equations, such as the curve of hanging electrical wires, the path of a boat, the path of a tennis ball, and the path of a human cannonball.

However, the yellow arches of a big M is not a mathematical equation or a physical phenomenon that can be described by a quadratic equation. The arches are simply a design element of the McDonald's logo.

Therefore, The yellow arches of a big M is not an example of a quadratic equation in real life.

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Answer:

  5/4

Step-by-step explanation:

You want the product abc when 5x^-2y^(3/2)/√(25xy^4) is written as ax^by^c.

The applicable rules of exponents are ...

  [tex]a^ba^c=a^{b+c}\\\\\dfrac{1}{\sqrt{a}}=a^{-\frac{1}{2}}\\\\(a^b)^c=a^{bc}[/tex]

Using these rules, the expression can be simplified to ...

  [tex]\dfrac{5x^{-2}y^{\frac{3}{2}}}{\sqrt{25xy^4}}=(5x^{-2}y^{\frac{3}{2}})(5^2xy^4)^{-\frac{1}{2}}=(5x^{-2}y^{\frac{3}{2}})(5^{2(-\frac{1}{2})}x^{-\frac{1}{2}}y^{4(-\frac{1}{2})})\\\\=5^{1-1}x^{-2-\frac{1}{2}}y^{\frac{3}{2}-2}\\\\=1\cdot x^{-\frac{5}{2}}y^{-\frac{1}{2}}[/tex]

From this last expression, we determine ...

The product of the values of interest is ...

  abc = (1)(-5/2)(-1/2)

  abc = 5/4

The scaled dimensions of a kitchen with dimensions 6.3m by 4.8m, if the kitchen plan is drawn to a scale of 1:500, are given as follows:

1.26 cm and 0.96 cm.

The scaled dimensions are obtained applying the proportions in the context of the problem.

The scale is of 1:500, meaning that each dimension is divided by 500, as follows:

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Answer:

the coordinate of the R' after the dilation is (-1,-0.5)

Step-by-step explanation:

Step-by-step explanation:

Same as the triangles. Find the area of the large rectangle and the small rectangle, then subtract.

A = L x W

For the large rectangle

A = 30 x 25 = 750

For the small rectangle

A = 26 x 21 = 546

Now to subtract these two

750 - 546 = 240

Answer:

1: 9 polar bears and 38 penguins

2: 47 snowglobes

3: 130 snowballs

4: 97 penguins

Step-by-step explanation:

i did the math

The equation of the line which is parallel to the line x = -4 will be x = -3.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the equation of the line is x = -4. The y-intercept is zero for the line.

The equation of the line parallel to the equation will be,

x = -3

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The boat has a top speed of approximately 29.7 miles per hour and a displacement of approximately 73,934 metric tons.

Answer:

[tex]29.9[/tex] miles per hour

[tex]73482[/tex] metric tons

Step-by-step explanation:

We are given:

top speed of 26 knots

displacement of 81,000 tons

It is asking us to convert knots to miles per hour.

It is asking us to convert tons to metric tons.

We can use conversion factors to complete the unit conversions.

1 knot (kt) = 1.15077945 miles per hour (mph)

1 ton = 0.907185 metric tons

Numerical Evaluation

Lets convert our top speed.

We can set up an equation like this

[tex]\frac{1}{1.15077945} =\frac{26}{x}[/tex]

Lets solve for [tex]x[/tex].

Cross multiply.

[tex]1x=26*1.15077945[/tex]

Evaluate [tex]26*1.15077945[/tex].

[tex]26*1.15077945 =29.9202657[/tex]

Round to the nearest tenth.

[tex]29.9[/tex] miles per hour

Lets convert our displacement.

We can set up an equation like this

[tex]\frac{1}{0.907185 } =\frac{81000}{x}[/tex]

Lets solve for [tex]x[/tex].

Cross multiply.

[tex]1x=81000*0.907185[/tex]

Evaluate [tex]81000*0.907185[/tex].

[tex]81000*0.907185=73481.985[/tex]

Round to the nearest tenth.

[tex]73482[/tex] metric tons

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The IQR is the best measure of variability, and it equals 45.

Data variation can be caused by a variety of sources. Variability is also known as data spread. The standard deviation is a measure of variability since it measures the spread of data.

The range is the best measure of variability for the data shown, and its value is 45.

The range is defined as the difference between the largest and smallest values in a set of data.

In this case, the largest score is 88 and the smallest score is 20, so the range is 88 - 20 = 68.

The IQR (interquartile range) is another measure of variability, but it is not the best measure for this data set because the data set has only a few values and does not form a normal distribution. The IQR is a more appropriate measure for larger data sets that form a normal distribution.

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Answer:

there will be 1 min added

On solving the provided question we can say that 2 decimal places =29.92 miles per hour

Integer and non-integer numbers are often expressed using the decimal numeral system. The Hindu-Arabic numeral system has been expanded to include non-integer values. Decimal notation is the name for the method used to represent numbers in the decimal system. A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. A decimal point separates the complete number and the fractional portion of a decimal number. The dot between the whole number and the fractions is known as the decimal point. A decimal number is, for instance, 25.5. In this instance, 25 is the entire number, while 5 is the

top speed is 26 knots,

1 knot = 1.15078 miles per hour

26 knots = 26 * 1.15078

= 29.92028 miles per hour

2 decimal places

=29.92 miles per hour

boat has a  displacement of 96000 tons

1 ton = 0.907185 metric tonnes

96000 tons = 0.907185 * 96000

= 87,089.76 metric tonnes

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The most appropriate viewing range for the quadratic function is given as follows:

The quadratic function for this problem is defined as follows:

f(x) = x² - 11x + 18.

The function can be factored as follows:

f(x) = (x - 2)(x - 9).

Hence the roots are:

Meaning that the viewing range should include x = 2 and x = 9.

The coefficients of the function are:

a = 1, b = -11, c = 18.

Hence the x-coordinate of the vertex is of:

x = -b/2a

x = 11/2

x = 5.5.

Hence the minimum value of the function is the y-coordinate of the vertex, given as follows:

y = 5.5² - 11(5.5) + 18

y = -12.25.

Meaning that Ymin should be less than -12.25.

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On solving the provided question, we can say that expression is - doctor’s name and address, EDG 2020

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

expression is -

doctor’s name and address

EDG 2020

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The correct question is -

Which of the following is something you would not expect to see on a basic loan application?

a. employer's name and address

b. doctor's name and address

C. annual or monthly income

d. current monthly rent or mortgage payment

Please select the best answer from the choices provided

Answer:

Below

Step-by-step explanation:

2^3  /  2^7 =   2^(3-7)   =   2^(-4)   =   1/ (2^4)   =   1/16   =   .0625  

   ~~~~pick your poison

The required expression [tex]2^3/2^7[/tex], after simplification is equivalent to 1/16.

To simplify the expression [tex]2^3/2^7[/tex], we can apply the rule of exponentiation that states when dividing two numbers with the same base, we subtract the exponents.

In this case, the base is 2.

Using the rule, we subtract the exponent of the denominator from the exponent of the numerator:

[tex]2^3/2^7 = 2^{7} = 2^{-4}[/tex]

The expression [tex]2^{-4}[/tex] can be further simplified by using the rule that states any number raised to a negative exponent is equal to the reciprocal of the number raised to the positive exponent:

[tex]2^{-4} = 1/2^4[/tex]
      = 1/16

Therefore, the expression [tex]2^3/2^7[/tex] is equivalent to 1/16.

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Answer:

F = 29

E= 151

D = 90

Step-by-step explanation:

For F:

The angle F is on a 180 degree angle with a degree next to it that is 151. To get the value F subtract 180-151 and you get 29.

For E: If F is 29 then the angle opposite of F is also 29. So again to find the measure of angle E, subtract 180 minus 29 and you get 151.

For D: D is also lying on a 180 degree angle. The angle next to it is 90. To get 180 add 90. 90 is the measure of angle d.

Answer:

-----------------------------------

Angle d is linear pair with a right angle, therefore:

Angle e is vertically opposite with 151° and therefore they are congruent:

Angle f is adjacent with 151° and forming a linear pair, therefore:

Answer:

C = 235

Step-by-step explanation:

given the graph passes through (10, 1 ) then the coordinates of the point make the equation true.

substitute x = 10, y = 1 into the equation and solve for C

10² + 1² + 12(10) + 14(1) - C = 0

100 + 1 + 120 + 14 - C = 0

235 - C = 0 ( subtract 235 from both sides )

- C = - 235 ( multiply both sides by - 1 )

C = 235

Answer:

4745

Step-by-step explanation:

Answer: 4745

Step-by-step explanation:

3250 = 100%

Percent Increase = +46%

46% of 3250 = 1495

3250 (100%) + 1495 (46%) = 4745

Answer:  -1/2

Step-by-step explanation: Down 1 over 2

Answer:

= -1+12h.

Step-by-step explanation:

I guess my answer is correct

Answer:

Step-by-step explanation:

The long-run behavior of a function can be determined by examining its asymptotes and the behavior of the function near these asymptotes.

For the function f(p)=(p+1)^3(p+4)^3(p-1), there are three points to consider as possible asymptotes: p = -1, p = -4, and p = 1.

At p = -1, the factor (p-1) is equal to zero, so the function has a vertical asymptote there. This means that as p approaches -1 from either side, the function will approach infinity.

At p = -4, the factor (p+4)^3 is equal to zero, so the function also has a vertical asymptote there. Similarly, as p approaches -4 from either side, the function will approach infinity.

At p = 1, the factor (p+1)^3 is equal to zero, so the function has another vertical asymptote there. In this case, as p approaches 1 from either side, the function will approach negative infinity.

So, the long-run behavior of the function can be described as follows:

The function approaches infinity as p approaches -1 or -4 from either side.

The function approaches negative infinity as p approaches 1 from either side.

Therefore, the long-run behavior of f(p)=(p+1)^3(p+4)^3(p-1) is characterized by three vertical asymptotes at p = -1, p = -4, and p = 1.

Answer:

[tex]\text{As } p \to -\infty, f(p) \to -\infty\\\\\text{As } p \to \infty, f(p) \to \infty[/tex]

====================================================

Explanation:

Each factor is a cubic of degree 3.

The degree of the entire polynomial is 3+3+3 = 9.

Since the degree is odd and the leading coefficient is positive, this means the graph falls to the left and rises to the right.

"falls to the left" means [tex]\text{As } p \to -\infty, f(p) \to -\infty[/tex]

"rises to the right" means [tex]\text{As } p \to \infty, f(p) \to \infty[/tex]

This is verified using a graphing tool like Desmos as shown in the screenshot below. I'm using x in place of p.

The equation which is in the quadratic form is 6x⁴ + 7x² - 3 = 0. So Option B is correct.

An equation is quadratic in form if it can be written in the form of ax + bx + c = 0, where a, b, and c are constants and x is the variable.

Among the given equations, we can see that the first, third, and fourth equations are not quadratic in form, since they contain x raised to powers other than 2.

The second equation, 6x⁴ + 7x² - 3 = 0, can be written in quadratic form by making a substitution.

If we let y = x², then we can write the equation as 6y² + 7y - 3 = 0,

which is a quadratic equation in y. Substituting back x² for y,

we get:

6x⁴ + 7x² - 3 = 0

So the second equation is quadratic in form.

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Answer:

Step-by-step explanation:

answer b, trust

The boxplot without the outliers is (c)

Outliers are data points that are significantly different from the other data points in a dataset.

An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.

Using the definition in (a) as a guide, we have the boxplot to be (c)

This is so because it has a minimum of 15 and a maximum of 95 (just as the original boxplot)

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if the second number is lower than that's the answer. so in this case kayla

On solving the provided question we can say that the expressions are    

a)  1000

b  10

c) 100000.001

d) 99000

In mathematics, it is pοssible to multiply, divide, add, or remove. The construction of an expression is as follows: Expressiοn, number, and mathematical operatοr Numbers, variables, and functions are the building blocks of a mathematical expressiοn (such as addition, subtraction, multiplicatiοn or division etc.)

Expressiοns and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic οperation between them is called an expression or an algebraic expressiοn. For instance, the expressiοn 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expressiοn, all of which are separated by the arithmetic sign +.

The expressiοns are

a)10¹⁵/10¹² = 10³ = 1000

b)10¹/10⁰ = 10/1 = 10

c)10⁵ + 10⁻³ = [tex]\dfrac{10^8 +1}{100}[/tex]= 100000.001

d)10⁵ - 10³ = 100000 - 1000 = 99000

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Answer:

Step-by-step explanation:

The decay rate of 80% per year means that after each year, the value of the quantity decreases by 80/100 * 3600 = 2880.

To find the value of the quantity after 0.2 decades, we need to multiply the number of years by 10, since a decade is equal to 10 years. In this case, 0.2 decades is equal to 0.2 * 10 = 2 years.

The value of the quantity after 2 years can be found using the formula:

3600 * (1 - 0.8)^2

Plugging in the values, we get:

3600 * (1 - 0.8)^2 = 3600 * (0.2)^2 = 3600 * 0.04 = 144

So, the value of the quantity after 0.2 decades, to the nearest hundredth, is 144.

Answer: 726.83

Step-by-step explanation: