what quadrilaterals have all the attributes of a parallelogram​

Answer:

-1/2

Step-by-step explanation:

2x-y=-8 --> y=2x+8 (slope: 2)

to be perpendicular, the product of two slopes should be -1

thus, the slope of a line perpendicular to this one is -1/2

Answer:

arc VW = 66°

Step-by-step explanation:

The inscribed angle WXY is half the measure of its intercepted arc WY, so

WY = 2 × 57° = 114°

Arc YX = 180° ( semi- circle ) , then

VW = YX - WY = 180° - 114° = 66°

Answer:

66°

Step-by-step explanation:

1) m(WY)=2*57=114°;

2) m(WX)=180-m(WY)=180-114=66°

Answer:

The balance in her lunch account at the end of the day on Friday is -$1.15.

Step-by-step explanation:

The balance at the end of the week will be the result of adding up the initial balance with the amount deposited on Monday minus the total amount spent that week.

Initial balance=$2.60

Amount deposited on Monday=$20

Total amount spent that week=$4.75*5=$23.75

Balance=$2.60+$20-$23.75

Balance=$22.60-$23.75

Balance=-$1.15

According to this, the answer is that the balance in her lunch account at the end of the day on Friday is -$1.15.

Answer: 1, 3, 5, 6

Step-by-step explanation: There cannot be the same x value for more than 1 y value.

Answer:

2 cups per teaspoon, 2 cups/1 tsp

Step-by-step explanation:

to get the teaspoon amount to 1 (you have to for a unit rate), you multiply both sides by 4.

1/2 x 4 = 2

1/4 x 4 = 1

Therefore, the degree of the resulting polynomial is m + n when two polynomials of degree m and n are multiplied together.

What is polynomial?

A polynomial is a mathematical expression consisting of variables and coefficients, which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents. Polynomials can have one or more variables and can be of different degrees, which is the highest power of the variable in the polynomial.

Here,

When two polynomials are multiplied, the degree of the resulting polynomial is the sum of the degrees of the original polynomials. In other words, if the degree of the first polynomial is m and the degree of the second polynomial is n, then the degree of their product is m + n.

This can be understood by looking at the product of two terms in each polynomial. Each term in the first polynomial will multiply each term in the second polynomial, so the degree of the resulting term will be the sum of the degrees of the two terms. Since each term in each polynomial has a degree equal to the degree of the polynomial itself, the degree of the resulting term will be the sum of the degrees of the two polynomials, which is m + n.

To know more about polynomials,

brainly.com/question/11536910

#SPJ1

Answer:  see proof below

Step-by-step explanation:

Use the Cofunction Identity: sin (90 - A) = cos (A)

Use the Double Angle Identity: sin(2A) = 2 sinA cosA

Use the Triple Angle Identity: cos (3A) = 4cos³A - 3cosA

Use the Zero Product Property: If a · b = 0, then a = 0 or b = 0

Use Pythagorean Identity: cos²A + sin²A = 1  → cos²A = 1 - sin²A

Use Quadratic Formula:   \(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

Proof LHS → RHS:

Assumption:                 Let A = 18°

Multiplication:               then 5A = 5(18°)

                                         →   5A = 90°

Expand:                         2A + 3A = 90°

                                  →  2A = 90° - 3A

Apply sin:                  sin (2A) = sin (90° - 3A)

Cofunction:               sin (2A) = cos (3A)

Double Angle:          2 sinA cos A = cos (3A)

Triple Angle:             2 sin A cos A = 4cos³A - 3cos A

                             → -4cos³A + 3cos A + 2sinA cos A = 0

Factor:                      cos A(-4cos² A + 3 + 2sin A) = 0

Zero Product Property: cos A = 0    or   -4cos² A + 3 + 2sin A = 0

                                             ↓

                                     Disregard (since cos A ≠ 0)

Pythagorean:                                           -4cos² A + 3 + 2sin A = 0

                                                            →  -4(1 - sin² A) + 3 + 2sin A = 0

                                                           →   -4 + 4sin² A + 3 + 2sin A = 0

Simplify:             4sin² A + 2sin A - 1 = 0

                      a=4         b=2      c= -1

\(\text{Quadratic Formula:}\qquad \sin A=\dfrac{-(2)\pm \sqrt{2^2-4(4)(-1)}}{2(4)}\)

                                              \(=\dfrac{-2\pm \sqrt{4+16}}{8}\)

                                              \(=\dfrac{-2\pm \sqrt{20}}{8}\)

                                              \(=\dfrac{-2\pm 2\sqrt{5}}{2(4)}\)

                                             \(=\dfrac{-1\pm \sqrt{5}}{4}\)

                                             \(=\dfrac{ \sqrt{5}-1}{4}\)

\(\text{Substitute A = 18:}\qquad \sin 18=\dfrac{ \sqrt{5}-1}{4}\)

We can see here that statement 4 is the first error in this proof. The reason for statement 6 is not correct because the expression should be what we are proofing.

An angle is a geometric figure formed by two rays or line segments that share a common endpoint called the vertex. The rays or line segments are referred to as the sides of the angle.

The measurement of an angle is typically expressed in degrees, radians, or other angular units. Angles are commonly used to describe the amount of rotation or the inclination between two lines or surfaces.

Learn more about angles on https://brainly.com/question/28293784

#SPJ1

Using the provided conditions for the roots and the value for the degree of the polynomial, The required equation is : \(x^{6} + \sqrt2 x^{5}+9x^{4}+9\sqrt2 x^{3}\) .

An equation's roots are just another way of indicating that the equation has "solutions." Solutions are the numbers that, once the variable has been solved, are equal to it. Set f(x)=0 and solve the equation for x to determine where the function meets the x-axis. The x-intercept is the root of the equation, which is discovered by solving the equation for x, if the function is a linear function of degree 1, where f(x)=mx + b.

The highest degree of a polynomial's monomials with non-zero coefficients is referred to as the polynomial's degree in mathematics. A term's degree is a non-negative integer and is calculated by adding the exponents of all the variables that occur in it.

imaginary roots are conjugate in nature,

(x+3i), (x-3i)

other roots,

\((x+\sqrt2)\),\(x^{3}\)

final equation,

\((x+3i)(x-3i)(x+\sqrt2)x^{3} =0\)

\(x^{6} + \sqrt2 x^{5}+9x^{4}+9\sqrt2 x^{3}\) = 0

To learn more about polynomials visit:

https://brainly.com/question/29182596

#SPJ4

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

Learn more about the function at

https://brainly.com/question/32520165

#SPJ11

The exact value of the trigonometric cosine function cos 30° is √3/2.

In trigonometry, the cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle. Using the unit circle, we can find the exact values of the trigonometric functions for angles in degrees or radians. One of the most important concepts in trigonometry is the unit circle.

A special triangle is a 30-60-90 triangle, where one angle is 30 degrees, another angle is 60 degrees, and the last angle is 90 degrees. The ratio of the adjacent side to the hypotenuse in this triangle is √3/2. Therefore, the exact value of cos 30° is √3/2. This means that the cosine of 30 degrees is the ratio of the adjacent side (x) to the hypotenuse (1) in the unit circle where x = √3/2.

Read more about trigonometric ratios:

brainly.com/question/23130410

#SPJ4

Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

Know more about the sinking fund formula

https://brainly.com/question/29076086

#SPJ11

The statement " A(n) method is like a blueprint, or template, for all the objects within a class" is true because methods define the behavior or operations that an object can perform and are defined within a class, acting as a blueprint or template for creating objects in object-oriented programming.

A method in object-oriented programming is a set of instructions that defines the behavior or operations that an object can perform. It is a part of a class, which acts as a blueprint or template for creating objects. When an object is created from a class, it can access and use the methods defined within that class.

Methods can be used to perform tasks, manipulate data, or interact with other objects. They are an essential aspect of encapsulation in object-oriented programming, as they allow for data to be accessed and manipulated in a controlled manner. Overall, methods are a crucial tool for developers to create robust and scalable applications.

Learn more about object-oriented programming here

brainly.com/question/26709198

#SPJ4

Answer:

The first one

\( log_{11} \: (x)\)

Step-by-step explanation:

f(x) = 11^x

Here are the steps to find the inverse of a function:

1. Let f(x)=y

2. Make x the subject of formula.

3. Replace y by x.

\(11 {}^{x} = y \\ \: log(11 {}^{x} ) = log(y) \\ x log(11) = log(y) \\ x = \frac{ log(y) }{ log(11) } = log_{11}(y) \\ f {}^{ - 1} (x) = log_{11}(x) \)

Answer:

21

Step-by-step explanation:

Jenny's final elevation = 3 + 6 × 3

                                     = 3 + 18

                                     = 21

Jacob will have 256 dandelions after 5 weeks, while Jessica will have 243 dandelions after the same period. The growth functions f(t) and g(t) respectively, are defined as f(t) = \(2^t\) and g(t) = \(2^t\) + 3.

In the case of Jacob, the function f(t) = \(2^t\) represents exponential growth, where the number of dandelions doubles every week. Starting with an initial value of 8 dandelions, after 5 weeks, the growth function yields f(5) = \(2^5\) = 32, and thus Jacob will have 32 x 8 = 256 dandelions.

For Jessica, her growth function g(t) = \(2^t\) + 3 also exhibits exponential growth, but with an additional constant term of 3. This implies that Jessica's dandelion population grows at the same rate as Jacob's but with a fixed offset of 3. Applying the function g(t) to 5 weeks, we get g(5) = \(2^5\) + 3 = 32 + 3 = 35, resulting in Jessica having 35 x 7 = 245 dandelions.

Therefore, Jacob will have 256 dandelions, while Jessica will have 243 dandelions after 5 weeks. The relationship between the growth functions f(t) and g(t) is that g(t) can be obtained from f(t) by adding a constant value of 3 to the exponential growth.

Learn more about functions here:
https://brainly.com/question/31062578

#SPJ11

The phasor form of a sinusoid represents the amplitude and phase angle of the sinusoid in complex number notation. In this case, the phasor form of \(8 sin(20t 57)\) would be 8 ∠57°. The amplitude, 8, is the magnitude of the complex number, and the phase angle, 57°, is the angle of the complex number in the complex plane.

In terms of amplitude and phase angle, a sinusoidal waveform is mathematically represented in phasor form. Electrical engineering frequently employs it to depict AC (alternating current) circuits and signals. A complex number that depicts the magnitude and phase of a sinusoidal waveform is called a phasor. The phase angle is represented by the imaginary component of the phasor, whereas the real part of the phasor represents the waveform's amplitude. Complex algebra can be used to analyse AC circuits using the phasor form, which makes computations simpler and makes it simpler to see how the circuit behaves.

Learn more about phasor here:
https://brainly.com/question/22970717

#SPJ11

Answer:

we conclude that Kiera got the right 63 questions.

Step-by-step explanation:

Total questions = 90

The percentage of correct question = 70%

Using the formula

The number of correct questions = 70% of 90

                                                         = [70/100] × 90

                                                          = 0.7 × 90

                                                           = 63

Therefore, we conclude that Kiera got the right 63 questions.

Answer:

2.5 every minute

Step-by-step explanation:

If you divide 5 and 2, you will get 2.5. 2.5 = 1 minute. 2.5 x 2 = 5. 2.5 x 3 = 7.5

and lastly, 2.5 x 4 = 10.

For all non-negative integers j, the value of 'a' after line 4 has executed exactly j times is f(j).

We will employ mathematical induction to demonstrate that the value of 'a' after line 4 has executed exactly j times is f(j) for all non-negative integers j.

The Basis: We must demonstrate that the value of 'a' is f(0) after line 4 has executed 0 times for j = 0. f(0) equals 0 according to the given definition. The base case applies because "a" is given the value 0 after line 1.

Hypothesis Inductive: Inductive Step: Assume that the value of 'a' is f(j) for some non-negative integer j after line 4 has been executed exactly j times. Based on the assumption in the inductive hypothesis, we must demonstrate that the value of 'a' is f(j+1) after line 4 has executed j+1 times.

After the j-th emphasis, 'a' is equivalent to f(j) and 'b' is equivalent to f(j-1). Line 4 of the (j+1)-th iteration gives "a" the value of "b," which is f(j-1) in addition to "a," which is f(j) in itself. This indicates that "a" changes into f(j-1) + f(j) after the (j+1)-th iteration.

We know that f(j+1) = f(j-1) + f(j) from the definition of the Fibonacci sequence. Therefore, the value of "a" following the (j+1)-th iteration is f(j+1).

We can deduce, based on the mathematical induction principle, that the value of 'a' after line 4 has executed exactly j times for all non-negative integers j is f(j).

To know more about Integers, visit

brainly.com/question/929808

#SPJ11

Step-by-step explanation:

first you go by counting by 2s and when your done it says one will ride alone so minus 1 that is 5 so the answer will be 5

Answer: B. 113 degrees

Step-by-step explanation:

The three angles of a triangle always add up to 180 degrees, so you can subtract to find the missing angle measure:

180 - 42 - 25 = 113

Therefore, option B is the answer.

I hope this helps!

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Standard deviation is defined as the square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The table shows the number of goals made by two hockey players.

Player A:

2, 3, 1, 3, 2, 2, 1, 3, 6

Using  a statistics calculator, we have:

Mean = 2.56

S.D. = 1.51

Player B:

1, 4, 5, 1, 2, 4, 5, 5, 11

S.D. = 3.03

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Read more about Measure of variability at: https://brainly.com/question/14544205

#SPJ1

28.33 feet is the value of side BC.

Given two triangles AXY and ABC such that these triangles are similar triangles, Similar triangles are defined as triangles that have the same shape but possibly different sizes. Two triangles are considered similar if their corresponding angles are equal and the ratios of the lengths of their corresponding sides are proportional.

Since these triangles are similar triangles thus, the ratio of these triangles' sides are similar.

So,

BC/AB = XY/AX

BC/(12+8) = 17/12

BC = 17/12*20

BC = 85/3

BC = 28.33

therefore, The value of BC is 28.33 feet.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ1

Answer:

2.5%

2.2kg=2200g

\( \frac{x}{100} \times 2200 = 55 \\ 22x = 55 \\ x = 2.5\%\)

Answer:

  9:50

Step-by-step explanation:

It appears the sequence has 0:51 as the first difference, and those differences increase by 0:01 in each interval. That means ? must be chosen so that ...

  ? - 8:58 = 0:52   ⇒   ? = 8:58 +0:52 = 9:50

  10:43 -? = 0:53   ⇒   ? = 10:43 -0:53 = 9:50

The missing time is 9:50.

Answer:

a=3 and b=2

Step-by-step explanation:

g(x) is f(x) translated 3 units to the left and 2 units up, so a=3 and b=2.

brainliest pls :)

The parametric equation for the line segment from (−4, 14, 32) to (10, −9, 46), using the parameter t is r(t) = (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

The given points are (-4,14,32) and (10,-9,46).

To find the parametric equations for the line segment we need to follow the below steps.

Step 1: Calculate the direction vector of the line segment. We use the difference of the given points for this purpose.  Let d= direction vector = (10,-9,46)-(-4,14,32)  = (14,-23,14)

Step 2: Choose the initial point on the line segment. We can choose (-4,14,32).

Step 3:  Since there are infinite choices for parameter t, choose any parameter t. We choose t in the range 0<= t <=1, to get the parametric equation for the line segment.

Let the parametric equation for the line segment be r(t).

Then,  r(t) = (-4,14,32) + t(14,-23,14)    

= (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

Thus, the parametric equation for the line segment is r(t) = (-4+14t, 14-23t, 32+14t), for 0<= t <=1.

To know more about parametric equation refer here:

https://brainly.com/question/30286426

#SPJ11

Answer:

Step-by-step explanation:

3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2