Which set of ordered pairs represents a function?
A {(0, 0), (0, 1), (0, 2), (0, 1)}
B {(0, 0), (1, 1), (1, −1), (4, 2)}
C {0, 2), (1, 2), (2, 2), (3, 2)}
D {(1, 2), (3, 4), (1, 4), (3, 2)}

Answer:

D. all real numbers

Step-by-step explanation:

i think this is the answer sorry if you get it wrong.

Therefore, the solutions to x³ = -2 - 2i in polar form are x₁ = √6 + √2i, x₂ = -√2 + √6i, and x₃ = -√6 - √2i.

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, defined as the square root of -1. The real part of the complex number is a, and the imaginary part is bi. Complex numbers are often used in mathematics and engineering to represent quantities that involve both a real part and an imaginary part, such as electrical impedance, wave functions, and solutions to polynomial equations. Complex numbers can be added, subtracted, multiplied, and divided using rules similar to those for real numbers, and they can be plotted in a two-dimensional coordinate system called the complex plane, with the real part along the x-axis and the imaginary part along the y-axis.

Here,

To find the solutions to the equation x³ = -2 - 2i in polar form, we first convert the complex number -2 - 2i to polar form:

|-2 - 2i| = sqrt((-2)^2 + (-2)^2) = 2*sqrt(2)

arg(-2 - 2i) = tan⁻¹((-2)/(-2)) = tan⁻¹(1) = π/4 (in the second quadrant)

So, -2 - 2i in polar form is 2√2∠(π/4).

Next, we can write x³ in polar form as |x³|∠(3θ), where |x³| = |x|³ and 3θ is the angle formed by rotating θ three times. So we have:

|x³| = |-2 - 2i| = 2*sqrt(2)

3θ = arg(-2 - 2i) + 2kπ, where k is an integer

Substituting the value of arg(-2 - 2i), we have:

3θ = π/4 + 2kπ

Dividing both sides by 3, we get:

θ = π/12 + (2kπ)/3

So the three solutions in polar form are:

x₁ = 2√2∠(π/12)

x₂ = 2√2∠(5π/12)

x₃ = 2√2∠(9π/12)

Simplifying, we have:

x₁ = √6 + √2i

x₂ = -√2 + √6i

x₃ = -√6 - √2i

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Answer:

C. = 69.5

Step-by-step explanation:

The median or the average between 80 and 59 is 69.5

Hope this helps! :)

First lets understand what a quarter to 4 is, a quarter to 4 is 15 minutes before the stated hour. This mean it is currently 3:45.

3:45 + 30 minutes = 4:15

4:15 + 2 hours = 6:15.

The game ends at 6:15

The football game ends at the time of 6:15 p.m.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

The game starts at a quarter to 4, which means it starts 15 minutes before 4:00.

Since there are 60 minutes in an hour, the game starts at 3:45.

The game is 2 hours and 30 minutes long, which means it ends 2 hours and 30 minutes after it starts. Since there are 60 minutes in an hour, the game ends 2 hours and 30 minutes after 3:45, which is 6:15.

Therefore, the game ends at the time of 6:15.

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Answer:

D.) The mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144.

Step-by-step explanation:

I don't even know, but yeah.

Answer:

D) the mathematical range is all real numbers greater than 0. The reasonable range is all whole numbers greater than 0 and less than or equal to 262,144

Step-by-step explanation:

The amount that you will have in 3 years, given the interest rate and the amount won, is 1, 195, 618. 17 currency units

To find the amount earned in three years as a result of your lottery being invested, use the future value formula which is:

= Amount won x ( 1 + periodic  rate ) ^ number of periods

Periodic rate :

= 6 % / 4 quarters per year

= 1. 5 %

The number of periods is:

= 3 years x 4 quarters per year

= 12 quarters

The amount you will have in 3 years is:
= 1,000,000 x ( 1 + 1. 5 %) ¹²

= 1, 195, 618. 17 currency units

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The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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Answer:

Part A: f(x) = 1.50x/g(x) = 0.01(3)^x-1

Part B: Option A:  $9 

Part C: Option B:  $1,771.47

Part D: The eighth bushel picked is when the exponential function exceeds the linear function.

Step-by-step explanation:

Part A: Write a function to model each option.

Option A:  f(x) = 1.50x, where x is the number of bushels of apples picked

Option B: g(x) = 0.01(3)^x-1, where x is the number of bushels of apples picked.

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

Part B: If Rachel picks six bushels of apples, which option should she choose?  

Option A:  $9    Option B:  $2.43   

Option A is better since what the number is would be higher.

1.50x6 = 9. If I were to do the same for option b, option a would end up higher.

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

Part C: If Rachel picks twelve bushels of apples, which option should she choose?  

Option A:  $18 Option B:  $1,771.47

After calculating both of them by multiplying by 12 for each, option B ends up to be much better.

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

Part D: How many bushels of apples does Lucy pick to make option B better for her than option A?

The eighth bushel picked is when the exponential function exceeds the linear function.

Answer:

it's a

Step-by-step explanation:

6>2k+4

6>0+4 ignore

6>4 ignore

Answer:

K=0

Step-by-step explanation:

Khan 7th grade, Quiz 3

Step-by-step explanation:

when given similar terms sometimes its easier to work the problem out before sinplifying

Answer:

The correct option is (b) random.

Step-by-step explanation:

A simple random sample is a part of a statistical population in which every individual of the population has an equal probability of being selected.

Assigning each individual of the population a unique number and using a computer or random number generator for selection is a procedure to select a simple random sample.

In this case the researcher has a computer randomly generate several hundred numbers, and those numbers are used to select names from the list to form a sample.

The procedure indicates that the researcher used a simple random sampling technique to select the sample.

Thus, the correct option is (b).

Answer:

-28x^3-28x^2+16x+15

Step-by-step explanation:-28x^3-28x^2+16x+15

Answer:

240 cm^2

Step-by-step explanation:

Comment

There are 2 ends that are in the shape of a triangle

There is 1 base that is rectangular

There are 2 roof tops that are rectangular in shape.

Find the area of the triangles, base, 2 roof parts.

Solution

1 base

w = 4 cm

L = 12 cm

Area = L*w

Area = 12*4

Area =                                             48 cm^2

Two Triangles

B = 4 cm

H = 6 cm

Area = 1/2 b * h

Area = 1/2 6 * 4

Area = 12 cm

But there are 2 triangles

Area 2 triangles                              24 cm^2

Two roof tops

L = 12 cm

w = 7 cm          

Area = L*w for one roof top        

Area = 12*7 cm                                

Area = 84 cm^2

But there are 2 of them                  168 cm^2

Total Area                                        240  cm^2

Answer:

The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where S represent the surface area

Step-by-step explanation:

2x48+32x6

96+32x6

=768

if I am right mark it as brainliest and if I am not then we all learn everyday I am just glad I did my best

Step-by-step explanation:

Answer 3

multiply 4 by -20

1/4×-20

= -20/-20

= 1 answer

Except You can invest your 401(k) into a wider variety of asset types than you can with an IRA. All are the advantages. Option B

A) You don't pay taxes on your investments' growth each year: One of the main advantages of a 401(k) plan is the tax advantage it provides.

Contributions to a traditional 401(k) are made on a pre-tax basis, meaning that the money you contribute is not subject to income tax. Additionally, the growth of investments within the 401(k) account is tax-deferred until you make withdrawals in retirement.

C) Your employer may match some of your 401(k) contributions: Many employers offer a matching contribution to their employees' 401(k) plans. This means that for every dollar you contribute to your 401(k), your employer will contribute a certain percentage, up to a specified limit.

D) You can contribute more money into a 401(k) than into an IRA: 401(k) plans generally allow for higher contribution limits compared to Individual Retirement Accounts (IRAs).

In 2021, the annual contribution limit for a 401(k) is $19,500 (with an additional $6,500 catch-up contribution for individuals aged 50 or older).

In contrast, the annual contribution limit for an IRA is $6,000 (with an additional $1,000 catch-up contribution for individuals aged 50 or older). The higher contribution limits of a 401(k) allow individuals to save more for retirement on a tax-advantaged basis.

In summary, the correct answer is B. The ability to invest in a wider variety of asset types is not an advantage of a 401(k) plan. However, the other options listed (A, C, and D) are all advantages of a 401(k) plan.

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The Movies For Less charges $5 more than Movies Plus.Therefore, option A is correct.

According to the statement

we have to find that the Which statement is true if 15 movies are rented from each company.

So, For this purpose, we know that the

From the given information:

Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents.

So, 15 movies from this provider will cost = 10+2(15)

15 movies from this provider will cost = 40 dollars

Movies For Less charges $3 for each movie but does not have a monthly service fee.

So, 15 movies from this provider will cost =  15 *3 dollars.

15 movies from this provider will cost =  45 dollars.

Comparing both providers,

Then

we can see that Movies For Less charges $5 more than Movies Plus.

Therefore, option A is correct.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $3 for each movie but does not have a monthly service fee. The costs of renting movies during the same month is represented in the table below.

Which statement is true if 15 movies are rented from each company?

A)Movies For Less costs $5 more.

B)Movies Plus costs $5 more.

C)Movies Plus costs $6 more.

D)Each company charges the same amount.

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Answer:

The Answer is A  only (1,4)

Step-by-step explanation:

Answer:

7(2x +7)

Step-by-step explanation:

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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The general solution for the equation 5tan(θ) - 6cos(θ) = 0 is:

θ = sin⁻¹(2/3) + nπ, where n is an integer.

To determine the general solution of the trigonometric equation 5tan(θ) - 6cos(θ) = 0, we can use algebraic manipulation and trigonometric identities to simplify and solve for θ.

Starting with the given equation:

5tan(θ) - 6cos(θ) = 0

First, we can rewrite the tangent function in terms of sine and cosine:

5(sin(θ)/cos(θ)) - 6cos(θ) = 0

Next, multiply through by cos(θ) to eliminate the denominator:

5sin(θ) - 6cos²(θ) = 0

Using the identity sin²(θ) + cos²(θ) = 1, we can express cos²(θ) as 1 - sin²(θ):

5sin(θ) - 6(1 - sin²(θ)) = 0

Expanding and rearranging terms:

5sin(θ) - 6 + 6sin²(θ) = 0

Rearranging the equation:

6sin²(θ) + 5sin(θ) - 6 = 0

Now, we have a quadratic equation in terms of sin(θ).

We can solve this quadratic equation by factoring or using the quadratic formula.

However, since this equation is not easily factorable, we will use the quadratic formula:

sin(θ) = (-b ± √(b² - 4ac)) / 2a

For our equation:

a = 6, b = 5, c = -6

Plugging these values into the quadratic formula and simplifying, we get:

sin(θ) = (-5 ± √(5² - 4(6)(-6))) / (2(6))

sin(θ) = (-5 ± √(25 + 144)) / 12

sin(θ) = (-5 ± √169) / 12

sin(θ) = (-5 ± 13) / 12.

This gives us two possible solutions for sin(θ):

sin(θ) = (13 - 5) / 12 = 8/12 = 2/3

sin(θ) = (-13 - 5) / 12 = -18/12 = -3/2

Since the range of the sine function is -1 to 1, the second solution (-3/2) is not valid.

Now, to find the values of θ, we can use the inverse sine function (sin⁻¹) to solve for θ:

θ = sin⁻¹(2/3)

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1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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Answer:

43

Step-by-step explanation:

See attachment for the graph of the function y = 5 sin(4x)

The trigonometry function is given as:

y = 5 sin(4x)

To plot the graph, we use the following domain:

x > 0

This represents the minimum value of x

Also, we use

x < π/2

This represents the maximum value of x

When the domain are combined, we have:

0 < x < π/2

This means that the domain that gives a complete cycle is 0 < x < π/2

See attachment for the graph of the function

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The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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Answer:

67.5feet

Step-by-step explanation:

Given parameters:

Model distance between building and gymnasium  = 22.5 inches

Scale of model :  1 inch  = 3 feet

Unknown:

Actual ground distance  = ?

To solve this problem, we first must understand the concept of scale. A scale is a relationship that represents a dimension on a map/model compared to the true ground expression. In order to visualize or represent some real life objects on paper or in a computer, we use models. These models are an abstraction of the real world based on scales. There are different ways of representing a scale.

In this problem;

    the scale is given as;

                     1 inch on model  represents 3 feet on ground

Now, to find 22.5 inches, simply cross multiply and solve;

        If   1 inch on model  represents 3 feet on ground

              22.5 inches on a model  will be =  \(\frac{22. 5 inches x 3 feet }{1 inches}\)

                                                                   = 67.5feet

Therefore, the actual distance is 67.5feet

Answer:

28716.35 mm³

Step-by-step explanation:

The formula of volume of sphere

\( = \frac{4}{3} \pi {r}^{3}\)

The volume of the sphere

\( = \frac{4}{3} \times 3.14 \times {(38 \div 2)}^{3} \)

\( = \frac{4}{3} \times 3.14 \times {19}^{3} \)

\( = \frac{86149.04}{3} \)

\( = 28716.34667...\)

= 28716.35 mm³ (rounded to the nearest hundredth)

Answer:

Following are the responces to the given question:

Step-by-step explanation:

For this issue the statistical programme performance is:

Two overview hypothesis test sample variance:

\(\to \sigma_1^2\)  =Population variance 1

\(\to \sigma_2^2\) = Population variance 2

\(\to \frac{\sigma_1^2}{\sigma_2^2}=\) Two variance ratios

\(\to H_0: \frac{\sigma_1^2}{\sigma_1^2}=1\\\\\to H_A: \frac{\sigma_1^2}{\sigma_1^2}\neq 1\)

Following are the result of the Hypothesis test: \(Ratio \ \ \ \ \ \ \ \ \ \ Num.DF \ \ \ \ \ \ \ \ \ \ Den.DF \ \ \ \ \ \ \ \ \ Sample\ \ Ratio\ \ \ \ \ \ F-Stat \ \ \ \ \ \ \ P-value\\\\\)

\(\frac{\sigma_1^2}{\sigma_1^2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 15 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.3478261 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2.3478261 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.1091\)

Test statistic \(= 2.3478 \approx 2.35\)

P-value > 0.10

The null hypothesis should not be rejected.

The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

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Answer:

8 units

Step-by-step explanation:

Area of square:

length * width

2 * 3

= 6  units

Area of triangle:

1/2 * base * height

1/2 * 2 * 2

= 2 units

Area of entire shape:

6 + 2

= 8 units

So, the area of the shape is 8 units.

If this answer helped you, please leave a thanks!

Have a GREAT day!!!

Answer:

see explanation

Step-by-step explanation:

2

4x² + 64 ← factor out the common factor of 4 from each term

= 4(x² + 16)

3

(a - 10)² = 121 ( take square root of both sides )

a - 10 = ± \(\sqrt{121}\) = ± 11 ( add 10 to both sides )

a = 10 ± 11

then

a = 10 - 11 = - 1

a = 10 + 11 = 21