I'm trying to find the degree and determine all the roots for p(×)=5(x+4)(5x^2+4x+20)

In accordance with Pythagorean theorem, no point is 4 units away from point M.

In this problem we find the coordinates of points A, B, C, whose coordinates are (- 4, 2), (2, 7) and (8, - 6), respectively, and the location of point M, whose coordinates are (- 4, - 6), all set on Cartesian plane. We need to determine if at least one of those three points (A, B, C) are four units away from point M. This can be checked by means of Pythagorean theorem:

AM = √[(- 4 - 2)² + [- 6 - (- 4)]²]

AM = √[(- 6)² + (- 2)²]

AM = 2√10 = √40

BM = √[(- 4 - 2)² + (- 6 - 7)²]

BM = √[(- 6)² + (- 13)²]

BM = √205

CM = √[(- 6 - 8)² + [- 4 - (- 6)]²]

CM = √[(- 14)² + 2²]

CM = 10√2 = √200

There is no point that is four units away from point M.

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Answer:

Slope: 1/2

y-intercept: (0, 4.5)

Slope Intercept = y = mx + b

Slope Intercept = y = 1/2x + 4.5

Step-by-step explanation:

The slope is 1/2 based on our rule, "Rise over Run" Based on the two points listed on the graph, we can say that we "rise" once and "run" twice. This makes our slope 1/2.

The y-intercept is where the line crosses the y-axis. If use our slope, we can determine that if we "rise" half of our slope in the opposite direction (0.5) and run half of our run in the opposite direction (1) we will intersect at (0, 4.5).

With this information, we can construct our slope-intercept equation:

The slope-intercept formula is as follows: y = mx + b

m is our slope, and b is out y-intercept.

y = 1/2x + 4.5

Answer:

(7,0)

Step-by-step explanation:

By Multiplying 4 and 7 (aka x), it will equal 28.

Multiplying 9 and y, (aka 0) , it will equal to 0

4(7)+9(0)=28

multiplying -4 by 7 will equal to -28 ,minus y which is 0, total will be -28

Answer:

.5

Step-by-step explanation:

2/4  2 goes into 2 1 time and 2 goes into 4 2 times so therefore 2/4 is = 1/2

1/2= .5

Answer:

A. m<R, m<S, m<Q

Step-by-step explanation:

In a triangle, the length of each side determines the size of the angle opposite it. Thus, the longer the side, the bigger the size of the angle opposite it. The shorter the side, the smaller the size of the angle opposite it.

In ∆QRS, we have the following:

✔️The longest side is RS = 16. <Q is opposite to RS, therefore <Q is the largest angle.

✔️The medium side is QR = 15. <S is opposite to QR, therefore <S is the medium angle.

✔️The shortest side is SQ = 9. <R is opposite to SQ, therefore <R is the smallest angle.

From smallest to the largest we would have:

m<R, m<S, m<Q

The most appropriate measure of center for the given dot plot is the median, which is 3. The interquartile range is 3, indicating 50% of the data lies between 1 and 4.

The given dot plot shows the number of televisions owned by the families in a neighborhood. There are different measures of central tendency and variation that can be used to describe the data set. The most appropriate measure of center for this data set is the median, which is the middle value when the data is arranged in ascending or descending order.
This is because the data is not normally distributed and there are outliers in the data set.
The median value is 3, which is the middle value when the data is arranged in ascending order. The median is a better measure of center for this data set because it is not affected by outliers, unlike the mean, which can be skewed by extreme values.
The appropriate measure of variation for this data set is the interquartile range (IQR). This is because the data set is not normally distributed and there are outliers present. The IQR is the range between the 25th and 75th percentile of the data set. The IQR is 3, which indicates that 50% of the data lies between 1 and 4.
In summary, the median value of televisions owned by families in the neighborhood is 3, which is a better measure of center because it is not affected by outliers. The interquartile range is 3, which indicates that 50% of the data lies between 1 and 4.

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Neither statement "E and F are always independent" nor "E and F are always dependent" is correct for mutually exclusive events E and F with positive probabilities p(e)>0 and p(f)>0.

Events that are mutually exclusive cannot occur at the same time. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 2 on a fair die", These events cannot occur simultaneously since a 1 and a 2 cannot be rolled.

In probability theory, two events E and F are considered independent if the occurrence of one event has no effect on the probability of the other event occurring. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 6 on a fair die", these events are independent because the occurrence of one event (rolling a 1) does not affect the probability of the other event (rolling a 6) occurring.

In the case where events E and F are mutually exclusive, their occurrence does affect each other, as the occurrence of one event makes it impossible for the other event to occur. Therefore, the statement "E and F are always independent" is not correct. Similarly, the statement "E and F are always dependent" is also not correct because dependence is a different concept from mutual exclusiveness.

Therefore, "Neither of the above statements is correct" is the appropriate response.

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The complete question is:

Which of the following statements is correct if e and f are mutually exclusive and p(e)>0 and p(f)>0?

a) E and F are always independent

b) E and F are always dependent

c) Neither of the above statement is correct

Answer:

100 seconds

Step-by-step explanation:

200/2 = 100s

To write the equation of a circle centered at (h, k) with a diameter of d, we can use the standard form of the equation:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) represents the center of the circle and r represents the radius.

In this case, the center of the circle is (-4, 4), and the diameter is 14. The radius is half of the diameter, so the radius would be 14 / 2 = 7.

Substituting the values into the equation, we have:

(x - (-4))^2 + (y - 4)^2 = 7^2

Simplifying further:

(x + 4)^2 + (y - 4)^2 = 49

Therefore, the equation of the circle centered at (-4, 4) with a diameter of 14 is:

(x + 4)^2 + (y - 4)^2 = 49

"Distance traveled is a function of time." In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

Distance is a fundamental concept in physics and mathematics that measures the extent or length between two points.

It represents the amount of ground covered or space traveled. When we say that distance is a function of various factors, it means that different variables or parameters can influence the distance traveled.

In the context of motion or travel, the distance traveled is often dependent on the amount of time that has passed.

The sentence "Distance traveled is a function of time" expresses this relationship, indicating that the distance traveled can be determined or calculated based on the value of time.

Thus, it implies that as time changes, the corresponding distance traveled also changes, establishing a functional relationship between the two variables.

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Answer:

f(x) = 12x = 10

Step-by-step explanation:

We need a linear equation in the slope-intercept form.

y = mx + b

where y = total pay, m = hourly salary, x = number of hours worked, and b = y-intercept, or initial value

Let's look in the table.

1 hour: $22

2 hours: $34

The difference in pay between 1 hour and 2 hours is $34 - $22 = $12.

The difference in time between 1 hour and 2 hours is 1 hour.

In 1 hour he earns $12. That means the slope is 12.

We know he earns $22 for working a total of 1 hour.

Start at 1 hour and $22 on the table.

Subtract 1 hour from 1 hour to get 0 hours.

Subtract $12 form $22 to get $10.

That means for 0 hours he gets $10. b = 10

The equation is

y = 12x + 10

In function form, we have:

f(x) = 12x = 10

Here we want to find a linear relation with only using the data in a table, we will find that the line is:

\(y = 12\cdot x + 12\)

We know that Damian's earns a set amount plus an hourly wage, then this can be modeled with a linear equation:

\(y = a\cdot x + b\)

Where a is the slope, which in this case is the hourly wage, and b is the y-intercept, which in this case is the set amount.

Such that x is the number of hours and y is the pay.

We know that if the line passes through two points (x₁, y₁) and (x₂, y₂) the slope can be given as:

\(a = \frac{x_2 - x_1}{y_2 - y_1}\)

By looking at the table we can find two points of our line, for example, if we use the first and third points:

(1, 22) and (2, 34) then the slope will be:

\(a = \frac{34 - 22}{2 - 1} = 12\)

Then the line is something like:

\(y = 12\cdot x + b\)

To find the value of b, we can use one of the points, for example, the point (1, 22) means that when x = 1, we must have y = 22.

Replacing that in the above equation we have:

\(22 = 12\cdot1 + b\\\\22 = 12 + b\\\\22 - 12 = b = 12\)

Then the equation of the line is:

\(y = 12\cdot x + 12\)

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Answer:

2 cookies

Step-by-step explanation:

If your brother ate 5 you would subtract 5 10-5=5

then your baby sister took 3 10-3=2

There is 2 left because you subtract 5 from 10 and that leave you with 5 and then you subtract three and get 2 and that’s your answer 2

The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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Answer:

Option 3

(3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Step-by-step explanation:

Factorize polynomials:

Use exponent law:

                   \(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)

9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²

25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²

Now use the identity:  a² - b² = (a +b) (a -b)

Here, a = 3xy³ & b = 5x²y⁴

9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²

                       = (3xy³)² - (5x²y⁴)²

                      = (3xy³ + 5x²y⁴)  (3xy³ - 5x²y⁴)

Answer:

There is a circle with a diameter[d] of 2.

Step-by-step explanation:

the Radius=diameter /2=2/2=1 units

now

circumference=2πr=2×π×1=6.29=6 units

area=πr²=3.14 unit²

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

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Answer:

-10

Step-by-step explanation:

Let the number be x

x - 40 = 5x

⇒ -40 = 5x - x

⇒ 4x = -40

⇒ x = -40/4

⇒ x = -10

Answer:

-10

Step-by-step explanation:

Let the number be x

x - 40 = 5x

4x = -40

x = -10

Subtract the difference form the total:

717 - 67 = 650

Divide the remaining amount by 2:

650/2 = 375

The bench cost$375

Using trigonometry we know that the measure for θ is 25.747121° respectively.

The branch of mathematics is concerned with the computation of certain angles and their functions.

There are six widely used angles-related trigonometric functions.

Their respective names and acronyms are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

So, 14.5 meters is the hypotenuse.

6.3 meters on the opposite side

Using trigonometry now:

sin θ = Opposite side / Hypotenuse

Using the provided values, we obtain:

sin θ = 6.3 / 14.5

sin θ = 63/145

sin θ = 0.4344

θ =25.747121°

Therefore, using trigonometry we know that the measure for θ is 25.747121° respectively.

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As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

Four straight sides that are aligned and equal in length make up a rectangle, a two-dimensional geometric object. A rectangles has four right-angled angles (90 degrees). A rectangle can be thought of as a quadrilateral with all angles equal to 90 degrees, or as a trapezoid with two pairs of parallel sides. By multiplying the rectangle's length and breadth, the area of the rectangle may be determined. By summing the measurements of all four sides, one may get a rectangle's perimeter. In many commonplace items like window, book covers, and screens, rectangles are frequently used.

given

According to the information provided, the rectangle's base has a 69 cm width.

We also know that the height is equal to the base by two thirds. As a result, the rectangle's height can be determined as follows:

Height equals 2/3 of base height, or 69 cm.

size = 46 cm

Knowing the rectangle's base and height, we can use the following formula to get its perimeter:

P = 2l + 2w

P = 2(69 cm) + 2(46 cm) (46 cm)

P = 230 cm if P = 138 cm plus 92 cm.

As a result, the rectangle's perimeter is 230 cm as the rectangle's base has a 69 cm width.

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The complete question is: - In a rectangle the base measures 69 cm and the height is 2/3 of the base. Calculate the perimeter.[230] Please help with a photo

\( \frac{( {x}^{2} {y}^{3})^{ \frac{1}{3} } }{ \sqrt[3]{ {x}^{2}y } } \\ \\ \frac{ {x}^{2 \times \frac{1}{3} } \times {y}^{3 \times \frac{1}{3} } }{( {x}^{2}y)^{ \frac{1}{3} } } \\ \\ \frac{ {x}^{ \frac{2}{3} } \times {y}^{ \frac{3}{3} } }{ {x}^{2 \times \frac{1}{3} } \times {y}^{ \frac{1}{3} } } \\ \\ \frac{ {x}^{ \frac{2}{3} } y}{ {x}^{ \frac{2}{3} } {y}^{ \frac{1}{3} } } \\ \\ {x}^{ \frac{2}{3} - \frac{2}{3} } \times {y}^{1 - \frac{1}{3} } \\ \\ {x}^{0} \times {y}^{ \frac{3}{3} - \frac{1}{3} } \\ \\ 1 \times {y}^{ \frac{2}{3} } \\ \\ {y}^{ \frac{2}{3} } \\ \\ \sqrt[3]{ {y}^{2} } \)

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Answer:

5

Step-by-step explanation:

substitute the variables for their values.

3(4)-2/(2)

3x4=12

12-2/2

12-2=10

10/2        

10/2=5

so 5 would be the answer

The probability she pulls out a purple piece of candy would be 0.22.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is Sam's fathers collection.

We can write the equations for upstream and downstream as -

x - y = 7/2

x + y = 21/10

Solving the equations graphically -

{x} = 2.8

{y} = 0.7
In still water, the speed would be -

S = 3 - 0.7

S = 2.3 Km/h

Distance peddled upstream -

D = 2.8 x 3.5 = 9.8 Km

Therefore, the speed in still water would be 2.3 Km/h and the distance peddled upstream would be 9.8 Km.

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The volume of a cube is given by the formula V = s^3, where s is the length of one of its sides. So, if the edge length of a cube is 3 inches, its volume would be:

V = 3^3 = 27 cubic inches

Answer: : it is 4 over 8 and *

Step-by-step explanation:

Answer:

Step-by-step explanation:

A∩B=[-54,-42]∪[-25,70]

Answer:

x = 5

Step-by-step explanation:

2 (x + 4) = 18

x + 4 = 9

x = 5

Answer:

x=5

Step-by-step explanation:

2(x + 4) = 18

Divide each side by 2

2/2(x + 4) = 18/2

x+4 = 9

Subtract 4 from each side

x+4-4 = 9-4

x=5

Using the principle of Pythagoras, the height of the building is approximately 129.9 feets.

Using SOHCAHTOA :

Tan(60) = height / 75

1.7320508 = height / 75

Height = 1.7320508 × 75

Height = 129.90 feets.

Hence, the height of the building is 129.9 feets.

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