hence explain x²-8x+20 is always positive

Answer:

Step-by-1step explanation:

Answer: .1 or 12.2%

Step-by-step explanation:

probability is the part out of the whole

the part = those taken high school only and over 40  =388+1448=1836

the whole are all the people which is 15048

1836/15048=.1  or 12.2%

Answer:

Unit price = 4.96/16 = 0.31

$0.31

Step-by-step explanation:

The unit price of the turkey is $0.13

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given;

Price of package of sliced turkey=$4.96

Number of slices in package= 16

Unit price= price of package/number of slices in package

               =4.96/16

               =0.31

Therefore, the value of each slice will be $0.13

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Answer:

1800in

Step-by-step explanation:

3ft=1yd

3x50=150ft

12in=1ft

12x150=1800in

Answer:

Step-by-step explanation:

1 yard = 36 inches

50 yards = 36 x 50 = 1800 inches

The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Answer:

faluse

Step-by-step explanation:

The volume of the tank with height of 30 cm and base of 810 cm² is 24300 cm³

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

Volume of tank = area of base * height of tank = 810 cm² * 30 cm = 24300 cm³

The volume of the tank with height of 30 cm and base of 810 cm² is 24300 cm³

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Answer:

A: 4

Step-by-step explanation:

The rise is 4

You can see that by noticing points (-1,-1) and (0,3)

The distance between the y values, -1 and 3 is 4 units

The run is 1

As it rises four units, it runs 1 unit

The difference between 0 and -1 is 1

Slope is calculated by rise/run

4/1 = 4 so the slope is 4

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

6 times -3

Step-by-step explanation:

PEMDAS

perenthesis, exponents, multiplication, division, addition, subtraction

Answer:

-12 ÷6

-2×(-3)

6+8=14

Step-by-step explanation:

Answer:

One candy bar cost $4.02

Step-by-step explanation:

14.19 - 5.79 = 8.4 (total candy bar cost)

8.4 / 2 = 4.2 cost of one candy bar

Answer:

4.2

Step-by-step explanation:

14.18-5.79 = 8.4

8.4/2 = 4.2

Answer:

Hi there!

Here is your answer...

The Area of the Parallelogram is:

The Perimeter of the Parallelogram is:

\(64ft\)

Step-by-step explanation:

To find the Area of a Parallelogram you must first identify the Base and Height. In this instance the Base would be the top and bottom which we know are 17ft in length. The Height would be the dotted line that we know it 12ft tall. The next step would be to Multiply the Base by the Height. That would give us 204. After we add the correct units we have \(204ft^{2}\).

To find the Perimeter we would simply add together all side lengths. We know that the top and bottom are equal to 17ft and the left and right are equal to 15 feet. This gives us 17+17+15+15. Which would equal 64, add the units and it becomes \(64ft\).

Area=base x height

Perimeter = base + base + angle +angle

(angle is the side length.)

Answer:l think it's 6

Step-by-step explanation:

You 1/2×4×3

=6

Yes SAS can be proven to be congruent

The SAS postulate says that if two sides of one triangle and the angle included between them are congruent to two sides and the included angle of a second triangle, then the triangles are congruent. SAS as the meaning of Side- Angle - side

For example, in triangle ABC , where AB is 10cm and AC is 7cm and angle A is 50°

and another triangle XYZ , where XZ is 10 and YZ is 7 and angle Z is 50°

to prove ∆ ABC and ∆ XYZ are congruent, we have to check if the two sides of a triangle are congruent to the other two sides of the corresponding triangle and the included angles are congruent in both triangle.

XZ = AB

YZ = AC

angle Z = 50° = angle A

therefore ∆ABC and ∆XYZ are congruent.

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Step-by-step explanation:

C+D=90

2x+3x=90

5x=90

X=90:5=18

Answer:

\(8x - 5 + 2x \\ 10x - 5 \\When x=-1 ; \\ 10( - 1) - 5 \\ - 10 - 5 = - 15\)

I hope I helped you^_^

Eigenvectors for one of the eigenvalues, λ = 5.322:

To find the eigenvalues of matrix A, we need to solve the characteristic equation, which is given by:

det(A - λI) = 0

where

λ is the eigenvalue,

I is the identity matrix, and

det denotes the determinant.

Let's begin the calculations:

A =

[1 0 0]

[-2 -4 0]

[1 2 2]

λI =

[λ 0 0]

[0 λ 0]

[0 0 λ]

A - λI =

[1-λ 0 0]

[-2 -4-λ 0]

[1 2 2-λ]

Now, let's calculate the determinant of A - λI:

det(A - λI) = (1-λ)(-4-λ)(2-λ) + 0 + 0 - 0 - (0 + 0 - 0 - 2(1-λ)(-4)) = 0

Simplifying this equation gives us:

(1-λ)(-4-λ)(2-λ) + 8(1-λ) = 0

Expanding and simplifying further:

(-λ^3 + 3λ^2 - 2λ) + (8 - 24λ + 16λ^2 - 8λ) = 0

Combining like terms:

-λ^3 + 3λ^2 - 2λ + 8 - 24λ + 16λ^2 - 8λ = 0

Collecting all terms:

-λ^3 + 19λ^2 - 34λ + 8 = 0

Now we can find the eigenvalues by solving this cubic equation. However, it does not have a nice factorization.

We can use numerical methods or calculators to find the roots.

Using numerical methods, we find the eigenvalues as follows:

λ ≈ 5.322, -0.161, -2.161

Now, let's find the eigenvectors for one of the eigenvalues, λ = 5.322:

To find the eigenvector, we solve the equation:

(A - λI) * v = 0

where v is the eigenvector.

Substituting the values:

(A - 5.322I) * v = 0

Solving this system of equations will give us the eigenvector for the corresponding eigenvalue.

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The number of pairs of parallel sides the rotated figure have is 2

Parallel sides or lengths are line segments or lines in the same plane that extend on both sides without intersecting

The shape is given as:

Shape = Rhombus

Rotation= 90 degrees counterclockwise rotation about the vertex G

The rotation transformation is a rigid transformation

This means that when a shape is rotated by 90 degrees counterclockwise about a vertex (in this case, the vertex G), the image of the rotation would have the same properties as the preimage

A rhombus has 2 pairs of parallel sides

This means that the number of pairs of parallel sides the rotated figure have will also be 2 (same as the original shape)

Hence, the number of pairs of parallel sides the rotated figure have is 2

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Answer:

Missing angle is 55°

Step-by-step explanation:

Given :-

To find:-

Solution:-

We know that the sum of all angles in a triangle is 180°

and let the unknown angle be x

So ,

90°+35°+x = 180°

x = 180° - 125°

x = 55°

Sarah's final position would be negative. Therefore, option B is the correct answer.

Given that, Sarah starts at a positive position along the x-axis. She then undergoes a negative displacement.

A negative displacement means that Sarah has moved backward along the x-axis, so her final position would be negative.

Therefore, option B is the correct answer.

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Answer:

the answer would be 33 tons

Answer:

33 tons

Step-by-step explanation:

use your intuition and you can figure out that several yaks, which are like cows, would not weigh 33 ounces or pounds

The best measure of center for the given data set of eye colors from 250 randomly selected statistics students would likely be the mode, representing the most frequently occurring eye color.

To determine which measure of center would be best for the given data set, which consists of a list of eye colors from 250 randomly selected statistics students, we can consider the following options:

Mode: The mode represents the most frequently occurring eye color in the data set. If there is a clear eye color that occurs more frequently than others, the mode can be a suitable measure of center. For example, if the majority of students have brown eyes, and brown is the most common eye color in the data set, then the mode would be a relevant measure of center.

Nonzero axis: It is unclear what is meant by "nonzero axis" in this context. Please provide additional clarification if this term refers to a specific statistical measure.

Relative frequency: Relative frequency refers to the proportion or percentage of observations that fall into each category. In this case, it would involve calculating the relative frequency of each eye color category based on the 250 students. This measure of center can provide a sense of the distribution of eye colors among the students and identify any dominant categories.

Graphs: Graphical representations, such as bar charts or pie charts, can visually display the distribution of eye colors among the 250 students. These graphs can help identify any prominent eye color categories and provide a visual summary of the data.

Ultimately, the best measure of center for the data set would depend on the distribution of eye colors and whether there is a clear dominant category. It is advisable to explore all the mentioned options (mode, relative frequency, and graphs) to gain a comprehensive understanding of the data and determine the most appropriate measure of center.

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Answer:

Step-by-step explanation:

2(6x² - 3) = 11x² - x

2*6x² - 2*3 = 11x² - x

12x² - 6 = 11x² -x

Subtract 11x² from both sides

12x² - 11x² - 6 = -x

x² - 6 = -x

x² + x - 6= 0

Sum =1

Product = -6

Factors =  3 , (-2)              { 3*(-2)  = -6   & 3 +(-2) = 1}

x² + 3x - 2x - 6 = 0

x(x + 3) - 2(x + 3)= 0

(x +3)(x - 2) = 0

The given polar equation is r = 6 cos θ. Converting it to rectangular form, we get x = 6 cos θ and y = 6 sin θ. The graph of this equation will be a cardioid centered at the origin, with a radius of 6.

To convert the polar equation r = 6 cos θ to rectangular form, we can use the trigonometric identities x = r cos θ and y = r sin θ. Substituting the values, we get x = 6 cos θ and y = 6 sin θ. These equations represent the coordinates (x, y) in terms of the angle θ.

To sketch the graph, we can observe that the equation x = 6 cos θ represents a horizontal line that oscillates between -6 and 6 as θ varies. Similarly, the equation y = 6 sin θ represents a vertical line that oscillates between -6 and 6 as θ varies.

Combining these equations, we can plot the graph by taking various values of θ and computing the corresponding (x, y) coordinates. The resulting graph will be a cardioid, which is a heart-shaped curve centered at the origin, with a radius of 6 units. The curve starts at the point (6, 0), moves upward, forms a loop, and returns to the point (-6, 0) before completing the loop.

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Answer:

take 300 time 12 months. take that nber times 18 years. then times that number by .07.

all together there is almost a $5000 difference. that is almost the total of having put 300 in the account for another 2 years without the apr

Step-by-step explanation:

Answer:

The answer is 129,216.31. Hope it helps

Step-by-step explanation:

The equation 154 = -4(8+6r) + 24r has no solution because the variable becomes 0.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

We have to find the variable r of the equation to solve the equation.

A variable is a number represented with letters in an equation.

Therefore, let's find the variable r in the equation.

154 = -4(8+6r) + 24r

open the brackets on the right side of the equation

154 = - 32 - 24r + 24r

154 = -32 + 0

Therefore, the equation cannot be solved.

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Answer:

5 units

Step-by-step explanation:

The graph, the coordinates of point D is (-7, -5).

The given coordinates of the rectangle ABCD are A(−7, -2), B(3, -2) and C(3, −5).

We need to find the coordinates of point D.

A cartesian plane can be defined as a plane formed by the intersection of two coordinate axes that are perpendicular to each other. The horizontal axis is called the x-axis and the vertical one is the y-axis. These axes intersect with each other at the origin whose location is given as (0, 0). Any point on the cartesian plane is represented in the form of (x, y). Here, x is the distance of the point from the y-axis and y is the distance from the x-axis.

Now, plot A(−7, -2), B(3, -2) and C(3, −5) on cartesian plane.

The coordinates are plotted on the graph, shown below.

From the graph, the coordinates of point D is (-7, -5).

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6 2/3 ÷ 1/5

20/3 ÷ 1/5

20/3 X 5/1

100/3

33 1/3

Hope this helps! :)

Answer:

33 1/3

First: Convert any mixed numbers to fractions. Then your initial equation becomes: 20/3÷1/5  Applying the fractions formula for division, = 20/3×5/1 = 100/3 Simplifying 100/3, the answer is =33 1/3. I hope this makes sense.