Give three points that are equivalent to the polar point (7,40°). Write the three points in polar form, with the angles in degrees.

The measure of center that would best summarize the plot is given as follows: Median of 11.

The measure of variability is given as follows: IQR of 1.5.

A box and whisker plots shows these five features from a data-set, listed as follows:

From the plot, these features are given as follows:

The median is the best measure of center of the data-set.

There is an outlier at 16, hence the best measure of variability is the IQR, given by the difference between the Q3 and the Q1, hence:

IQR = 11.5 - 10

IQR = 1.5.

More can be learned about box plots at https://brainly.com/question/12343132

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

(4x- 9)(4x + 9)        Just by looking.....

According to the Synthetic Division, the Quotient is equal to  7x² -4x + 5 and the Remainder is equal to 8.

Synthetic division can divide two polynomials more quickly than the standard long division algorithm.

With this method, the dividend and divisor polynomials are reduced to a set of numerical numbers.

Given:

(7x³-25x² +17x -7) ÷ (x-3).

So, Synthetic Division for this is as follows:                                    

                      (x-3) | (7x³-25x² +17x -7) | 7x² -4x + 5

                                                    7x³-21x²

                                                 _________

                                                           -4x² + 17x

                                                           -4x² + 12x        

                                                    _______________

                                                                        5x - 7              

                                                                        5x - 15

                                                                      ________

                                                                               8

To know more about Synthetic Division, visit:      

https://brainly.com/question/11954802

#SPJ1

A(n) = 3 + 7(n-1)

Arithmetic sequences have common differences and change by the same amount between each term.

Arithmetic Sequences

Arithmetic sequences change by the same amount each term. In the sequence above, each term increases by 7. This means that 7 is added to the previous term to make the new term. Using this information we can write a function to represent this sequence.

Explicit Rule

The function that describes an arithmetic sequence is known as an explicit rule. Explicit rules are written as A(n) = A(1) + d(n-1). In this equation, A(1) represents the first term in a sequence and d represents the common difference. As you can see, the first term is 3, so A(1) = 3. The common difference is the change between terms. The previous paragraph shows that the common difference for this sequence is 7.

This means the explicit rule for this sequence is A(n) = 3 + 7(n-1).

There is only one solution for this equation. v = 31/4 is the only solution to this equation.

To solve for v in the equation (3)/(4v)+(7)/(v)=1, we need to get a common denominator and then solve for v.

Step 1: Get a common denominator. The common denominator for 4v and v is 4v. So, we will multiply the second fraction by 4/4 to get a common denominator:
(3)/(4v)+(7*4)/(v*4)=1

Step 2: Simplify the fractions:
(3)/(4v)+(28)/(4v)=1

Step 3: Combine the fractions:
(3+28)/(4v)=1

Step 4: Simplify the numerator:
(31)/(4v)=1

Step 5: Cross-multiply to solve for v:
31=4v

Step 6: Divide both sides by 4 to get v:
v=31/4

The solution is v=31/4.

Know more about solution here:

https://brainly.com/question/17145398

#SPJ11

Mika's estimate was 216 and the actual sum of the numbers is 216.27. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

All real numbers are supposed to be explicable by the four fundamental operations, often known as "arithmetic operations". Quotient, product, sum, and difference are the four operations in mathematics that follow division, multiplication, addition, and subtraction.

We are given numbers as 189.27, 15.8 and 11.2.

Mika's estimate is as follows:

189 + 16 + 11 = 216

Actual sum of numbers is as follows:

189.27 + 15.8 + 11.2 = 216.27

Hence, Mika's estimate was 216 and the actual sum of the numbers is 216.27.

Learn more about arithmetic operations from the given link

https://brainly.com/question/30283549

#SPJ1

The largest possible value x could take given that it must be an integer for x < 2 is 1.

The key distinction between an inequality and an equation is that an inequality describes a connection of inequality between two expressions, whereas an equation expresses equality between two expressions. In other words, an inequality shows that one expression is more or less than the other expression, but an equation shows that two expressions have the same value.

The highest number x might have is 1 if x must be an integer and x 2. This is due to the fact that any number higher than one would break the inequality x 2, and any number between one and two that is not an integer would also violate the stipulation that x must be an integer.

Learn more about equation here:

https://brainly.com/question/17149704

#SPJ1

The Surface Area of Container is 954. 56 inch².

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

For each three-dimensional geometrical shape, surface area and volume are determined. The area or region that an object's surface occupies is known as its surface area.

As, we Know the Surface Area of Cylinder

= 2πr² + 2πrh

Radius of the base = 8 inches

Height of the cylinder = 11 inches.

Now, putting the values we get

= 2πr² + 2πrh

= 2 x 3.14 x 8 x 8 + 2 x 3.14 x 8 x 11

= 401.92 + 552.64

= 954. 56 inch²

Learn more about Surface Area here:

https://brainly.com/question/29298005

#SPJ1

The region corresponding to the statement P(z<1.4) is the area to the left of z=1.4 on a standard normal distribution. This represents the probability of obtaining a z-score less than 1.4.

The region corresponding to the statement P(-c < z < c) = 0.2 is the area between two values, -c and c, on a standard normal distribution that contains 20% of the total area under the curve. This represents the probability of obtaining a z-score between -c and c.

The region corresponding to the statement P(|z|>c) = 0.2 is the area to the left of z=-c and to the right of z=c on a standard normal distribution that contains 20% of the total area under the curve. This represents the probability of obtaining a z-score that is greater than c or less than -c.

The first statement, P(z < 1.4), refers to the probability that the random variable z is less than 1.4. To sketch this region, we would shade the area to the left of the value 1.4 on the number line.

The second statement, P(-c < z < c) = 0.2, refers to the probability that the random variable z is between -c and c, and that this probability is equal to 0.2. To sketch this region, we would shade the area between -c and c on the number line, and adjust the values of c until the shaded area represents 0.2 of the total area under the curve.

The third statement, P(c < z < k) = -0.2, refers to the probability that the random variable z is between c and k, and that this probability is equal to -0.2. To sketch this region, we would shade the area between c and k on the number line, and adjust the values of c and k until the shaded area represents -0.2 of the total area under the curve.

It is important to note that probabilities cannot be negative, so the third statement is not valid. The shaded area should always represent a positive value between 0 and 1.

To know more about standard normal distribution click here:

https://brainly.com/question/29509087

#SPJ11

Answer:

C

Step-by-step explanation:

The equation that shows the whole amount of pizza Miah ate on Saturday is 3/32 of the whole pizza

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math.

This word problem are interpreted to mathematical equation

The left over is calculated is 3/8

therefore 5/8 of the pizza is left for Saturday

On Saturday she ate 1/4 of the pizza

= 1/4 × 3/8

= 3/32

therefore Miah ate 3/32 of the whole pizza on Saturday.

learn more about word problem from

https://brainly.com/question/21405634

#SPJ1

The graph of the quadratic function y = 1.5x² + 4x - 2 is given by the image shown at the end of the answer.

The function for this given problem is defined as follows:

y = 1.5x² + 4x - 2.

a 1.5, b 4, c -2.

By Solving the equation we get these values,

x = -3.09, hence function passes through the point (-3.09, 0).

x = 0.43, hence function passes through the point (0.43, 0).

The y-intercept of this function is given by coefficient c = -2, hence the function also passes through the point (0, -2).

The x-coordinate vertex is given as follows:

x = -b/2a = -4/3 = -1.33.

Hence the y-coordinate vertex is of:

y = 1.5(-1.33)² + 4(-1.33) - 2 = -4.67.

Missing Information

The problem asks for the graph of the following function is given below:

y = 1.5x² + 4x - 2.

To learn more about graph, visit :

https://brainly.com/question/11803331

#SPJ1

The correct equivalent form of 8⁵/8² is Adam made an error in step 2. The denominator should be 1, not 8¹. Option B is correct.

In step 2, Adam used the property of exponents that states: [tex]a^{(m-n)}[/tex] = [tex]a^{m}[/tex] / [tex]a^{n}[/tex]. However, he made a mistake by writing 8¹in the denominator instead of 1.

The correct expression after step 2 should be:

[tex]8^{5-2}[/tex] /1 = 8³

Then, in step 3, Adam used the property of exponents that states: [tex]a^{m}[/tex] / a =   [tex]a^{m-1}[/tex]. This step is correct, and the expression becomes:

[tex]8^{3/8}[/tex]

Finally, in step 4, Adam simplified the expression by dividing 8³ by 8². This step is also correct, and the expression simplifies to:

8¹ = 8

Therefore, the correct equivalent form of 8⁵/8² is 8.

Hence, B. Adam made an error in step 2. The denominator should be 1, not 8¹ is the correct option.

To know more about equivalent here

https://brainly.com/question/14187491

#SPJ4

--The given question is incomplete, the complete question is

"Adam is rewriting the expression 8^5/8^2 in equivalent form. His steps are shown: step 1: 8^5/8^2, step 2:  8^(5-2)/8^1, step 3: 8^3/8, step 4: /8^2. which statement describes the step and the error Adam made in that step? A) Adam made an error in step 2. The exponent in the numerator should be 5+2 B) Adam made an error in step 2. The denominator should be 1, not 8^1 C)  Adam made an error in step 3. The value of 8^1 is 1, not 8."--

The polynomial that must be added to x^(2)-2x+6 is 2x^(2) + 9x - 6.

To find the product of the two polynomials (2x^(4)y)(3x^(5)y^(8)), we need to use the distributive property and combine like terms.

The distributive property states that a(b+c) = ab+ac. So, we can distribute the first polynomial to each term in the second polynomial:

(2x^(4)y)(3x^(5)y^(8)) = (2x^(4)y)(3x^(5)) + (2x^(4)y)(y^(8))

Next, we can combine like terms by adding the exponents of the variables:

= 6x^(4+5)y^(1+8)

= 6x^(9)y^(9)

So, the product of the two polynomials is 6x^(9)y^(9).

To find the polynomial that must be added to x^(2)-2x+6 so that the sum is 3x^(2)+7x, we can set up an equation:

x^(2)-2x+6 + (a+bx+cx^(2)) = 3x^(2)+7x

Then, we can rearrange the equation to solve for the polynomial:

a+bx+cx^(2) = 3x^(2)+7x - x^(2) + 2x - 6

a+bx+cx^(2) = 2x^(2) + 9x - 6

To know more about distributive property click on below link:

https://brainly.com/question/6276874#

#SPJ11

7 x 4 = 28

than you need to do y + 5x

than you get you answer 6

The number of laps increases by 50 percent.

The number of laps Jane can run has increased by 50%. To find this, we can use the formula:

Percentage Increase = (New Value - Old Value) / (Old Value) × 100

In this case, the new value is 6 (the number of laps Jane can now run) and the old value is 4 (the number of laps Jane used to be able to run). Plugging these values into the formula gives us:

Percentage Increase = (6 - 4) / (4) × 100
Percentage Increase = 2 / 4 × 100
Percentage Increase = 0.5 × 100
Percentage Increase = 50%

Therefore, the number of laps Jane can run has increased by 50%.

To know more about Percentage Increase click on below link:

https://brainly.com/question/20818421#

#SPJ11

Answer:

2.40 per pound

Step-by-step explanation:

hope that's right

Milo is 8.09 miles from the dock.

Here we can use the Law of Cosines,

which states that c² = a² + b² - 2abcos(C),

Where c is the side opposite the angle C in a triangle.

Call the distance from the dock to the point where Milo changes direction "a", the distance Milo sails in the new direction "b", and the angle between these two sides "C".

We know that a = 7 miles and b = 4 miles.

To find C, we can use the fact that Milo changes direction by 5π/36 radians.

Since he turned to the right, we can say that he turned by,

⇒ 360 - 5π/36 = 355π/36 radians.

This is the angle between the two sides of the triangle.

Now we can plug these values into the Law of Cosines to find the distance from Milo to the dock:

⇒ c² = a² + b² - 2abcos(C)

⇒ c² = 7² + 4² - 2(7)(4)cos(355π/36)

⇒ c² = 49 + 16 - 56cos(355π/36)

⇒ c² = 65.47

Taking the square root of both sides, we get:

c = 8.09 miles (rounded to 2 decimal places)

Therefore, Milo is 8.09 miles from the dock.

To learn more about trigonometric ratios visit:

https://brainly.com/question/29156330

#SPJ12

The given set of vectors in R4 is linearly independent and  the vector u as a linear combination of the vectors v1, v2, and v3  can be written as u = (7,12,22)

a) To determine if the set of vectors in R4 is linearly independent or linearly dependent, we can use the rank of the matrix formed by these vectors. If the rank of the matrix is equal to the number of vectors, then the set is linearly independent. Otherwise, it is linearly dependent.

First, let's form the matrix using the vectors:

| 1 0 -1 0 |
| 1 1 0  2 |
| 0 3  1 -2 |
| 0 1 -1  2 |

Next, let's find the rank of the matrix. We can do this by using Gaussian elimination to reduce the matrix to row echelon form:

| 1 0 -1 0  |
| 0 1  1 -2 |
| 0 0  4 -6 |
| 0 0  0  4 |

The rank of the matrix is 4, which is equal to the number of vectors. Therefore, the set of vectors is linearly independent.

b) To write the vector u as a linear combination of the vectors v1, v2, and v3, we need to find the scalars a, b, and c such that:

u = av1 + bv2 + cv3

This gives us the following system of equations:

10 = 2a + b - 2c
1 = 3a + 2b + 2c
4 = 5a + 4b + 3c

We can use Gaussian elimination to solve this system of equations:

| 2  1 -2 | | a | = | 10 |
| 3  2  2 | | b | = |  1 |
| 5  4  3 | | c | = |  4 |

After reducing the matrix to row echelon form, we get:

| 1 0  1 | | a | = | 2 |
| 0 1 -2 | | b | = | 3 |
| 0 0  0 | | c | = | 0 |

From the third equation, we can see that c can be any value. Let's choose c = 0. Then, from the first two equations, we get:

a = 2
b = 3

Therefore, the vector u can be written as a linear combination of the vectors v1, v2, and v3 as follows:

u = 2v1 + 3v2 + 0v3

u = (2)(2,3,5) + (3)(1,2,4) + (0)(-2,2,3)

u = (4,6,10) + (3,6,12) + (0,0,0)

u = (7,12,22)

To know more about Vector:

brainly.com/question/29740341

#SPJ11

The solution of linear equations is (x, y) = (-0.8905, 0.708).

To solve this system of linear equations by elimination, first multiply both equations by the same number so that when you add the equations together, one of the variables is eliminated. In this case, we'll multiply the first equation by 3 and the second equation by 8.

8(8x+3y=-5)

3(3y=x+4)

24x + 9y = -15

24y = 8x + 32

Now add the two equations together:

24x + 24y = -15 + 32

24x + 24y = 17

Simplifying this equation, we get:

24y = 17

y = 17/24

y = 0.708

Now, plug in the value of y into one of the original equations to solve for x. We'll use the first equation:

8x + 3(0.708) = -5

8x + 2.124 = -5

8x = -7.124

x = -7.124/8

x = -0.8905

Therefore, the solution to the system of linear equations is (x, y) = (-0.8905, 0.708).

To know more about Linear equations:

https://brainly.com/question/30968284

#SPJ11

Using the addition method the solution to the system is (x,y) = (14/3, 7/3) and using the substitution method the solution to the system is (x,y) = (7,7).

Using the addition method, we can rearrange the equations so that one of the variables cancels out:

y=2x-7  ->  -2x + y = -7
y=4x-21  ->  -4x + y = -21

Now, we can add the two equations together to eliminate the y variable:

-2x + y = -7
-4x + y = -21
______________
-6x = -28

Next, we can solve for x:

x = 28/6 = 14/3

Now, we can substitute this value of x back into one of the original equations to find y:

y = 2x - 7 = 2(14/3) - 7 = 28/3 - 21/3 = 7/3

So the solution to the system is (x,y) = (14/3, 7/3).

Using the substitution method, we can substitute one equation into the other to eliminate one of the variables. For example, we can substitute the first equation, y=2x-7, into the second equation, y=4x-21:

2x-7 = 4x-21

Next, we can rearrange the equation to solve for x:

2x = 14
x = 7

Now, we can substitute this value of x back into one of the original equations to find y:

y = 2x - 7 = 2(7) - 7 = 7

So the solution to the system is (x,y) = (7,7).

In conclusion, we can solve the system y=2x-7 and y=4x-21 using either the addition method or the substitution method to find the solution (x,y).

To know more about addition method refer here:

https://brainly.com/question/30959268

#SPJ11

The length of the segment indicated is c = c = 9.92.

Pythagoras discovered that the square of the hypotenuse in a right-angled triangle with a 90° angle is equal to the sum of the squares of the other two sides.

The triangle has three sides: the hypotenuse, which is always the longest, the opposite, which doesn't touch the hypotenuse, and the adjacent (which is between the opposite and the hypotenuse).

a² = b² + c²

a = 19

b = 16.2

c or x =?

19² = 16.2² + c²

361 = 262.4 + c²

c² = 98.6

c = √98.6

c = 9.92

Therefore, the length of the segment indicated is c = 9.92.

Learn more about length, here:

brainly.com/question/2277187

#SPJ1

Nicole has 8 nickels and 7 dimes.

A system of equations is simply two or more equations that share the same variables.

Let's use a system of equations to solve this problem:

Let x be the number of nickels, and y be the number of dimes.

From the problem, we know that:

x + y = 15 (equation 1) (the total number of coins is 15)

0.05x + 0.1y = 1.1 (equation 2) (the total value of the coins is $1.10)

To solve for x and y, we can use substitution or elimination. Let's use elimination:

Multiply equation 1 by 0.1:

0.1x + 0.1y = 1.5 (equation 3)

Subtract equation 3 from equation 2:

0.05x = 0.4

x = 8

Substitute x = 8 into equation 1:

8 + y = 15

y = 7

Therefore, Nicole has 8 nickels and 7 dimes.

Learn more about system of equations here : brainly.com/question/25976025

#SPJ1

According to the question the solution to the inequality is x < 6.

Inequality is the unequal distribution of resources, rights, and opportunities among individuals or groups in a society. It is a form of systemic injustice that can take on many forms, such as economic, social, and political. Economic inequality is when people have unequal access to resources such as wealth, income, and education; social inequality is when people have unequal access to social opportunities and resources such as political power, public services, and health care; and political inequality is when people have unequal access to the political process and decision-making, such as voting rights and other forms of representation.

To solve this inequality, we need to isolate the variable on one side. First, let's subtract 8 from both sides:
-4x + 8 > -16
-4x > -24
Now, divide both sides by -4:
-4x/-4 > -24/-4
x < 6
Therefore, the solution to the inequality is x < 6.

To learn more about inequality
https://brainly.com/question/24372553
#SPJ1

The degree and terms of the polynomial are explained and an example is also discussed.

What are polynomials?

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. It is a mathematical expression made up of exponents, constants, and variables that are mixed using addition, subtraction, multiplication, and division (No division operation by a variable).

The expression's components that are divided up by the operators "+" or "-" are referred to as polynomial terms. In polynomials, like terms are ones that share the same variable and power. Unlike terms are those that have dissimilar variables and/or dissimilar powers.

The degree of a polynomial is the highest or biggest exponent of the variable in the polynomial. A polynomial equation's maximum number of solutions can be calculated using the degree.

The different types of polynomials based on terms are:

The different types of polynomials based on the degree are:

Example,

Consider a polynomial 3x² + 5x + 4

Number of terms = 3 (Trinomial)

Degree = 2 (Quadratic polynomial)

Therefore the degree and terms of the polynomial are explained and an example is also discussed.

To learn more about polynomials, follow the link.

https://brainly.com/question/2833285

#SPJ1

The answer is:

Work/explanation:

Here's how we classify polynomials based on the number of terms:

monomial - has only one term

binomial - has two terms

trinomial - has three terms

polynomial - has four terms or more

As for degrees, those are the highest exponents the polynomial.

Example: Classify [tex]\bf{2p^2+p}[/tex].

It has 2 terms so it's a binomial.

Its highest exponent is 2 so it's a second degree binomial.

Answer:

The area of the whole rectangle is 28 cm^2

Step-by-step explanation:

since both triangles are congruent, they have the same area. 14 x 2 = 28

Answer:

[tex] \frac{ {a}^{x} }{ {a}^{y} } = {a}^{x - y} [/tex]

Step-by-step explanation:

Lets find the slope of the line first so we can write the equation.

Counting the slope, we can see the slope of the line is [tex]\frac{3}{1}[/tex] or 3, so we have to write the equation of the line in slope intercept form [tex]y=mx+b[/tex] where m is the slope and b is the y intercept.

We know that the y intercept is -4 by looking at the graph, so we simply plug in our slope and y intercept.

[tex]y=3x-4[/tex]

To tell if equations are parallel or perpendicular:

Parallel:  The slope is the same

Perpendicular: The slope is the opposite reciprocal

Lets look at the equations and see if there parallel:

1. [tex]y=-3x+10[/tex] is neither.

2. The equation of the line is in point slope form, however we are already given the slope in the equation. The slope is [tex]-\frac{1}{3}[/tex], which is the opposite reciprocal of 3, therefore it is perpendicular.

3. [tex]\frac{1}{3}[/tex] is not the opposite reciprocal of 3, it is neither.

4. The equation of the line is in standard form, which means we must solve for y to get it in slope intercept form

[tex]-3x+y=1[/tex]
Subtract -3x on both sides

[tex]y=1-(-3x)[/tex]

Simplify

[tex]y=3x+1[/tex]

The equation has the same slope, so it is parallel.