Which property is does
3 + (( − 3) + 4) = (3 + ( − 3)) + 4 represent?
commutative
associative
distributive
identity
inverse

The answer is prime! I hope this helps you out!

Answer:

23 is a prime number. Reason: Prime number are those numbers which are divisible by 1 and itself. Example: 5 is divisible by 1 and 5 only.

Answer:

Option C: 9³

Step-by-step explanation:

9 * 9 = 81

( 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 +9 )

81 * 9 = 729

( 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81 + 81)

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The van der Pol equation which is a second-order differential equation is given by

d²x/dt² - μ(1 - x²)dx/dt + x = 0

Here we are asked to convert it to a two-dimensional system.

Here we need to set y = dx/dt, where y represents the system's velocity.

Hence we will rewrite it as

d²x/dt² = μ(1 - x²)y + x

Now if we set the derivatives of x and y with respect to time to be equal to different variables we get

dx/dt = y

dy/dt = μ(1 - x²)y + x

Hence we get the above systems of equations as the 2-dimensional representation of the Van der Pol equation where x and y represent the system's position and velocity respectively.

If we set μ = 1 and x = 0, then we get

dx/dt = y

dy/dt = y

Hence we get the system of differential equations representing the behavior of the van der Pol equation with μ = 1 and x = 0 in two dimensions.

To learn more about Van der Pol equation visit

https://brainly.com/question/29412319

#SPJ4

Answer:

The acceleration is 466.7m/s^2

Step-by-step explanation:

Given

\(u = 0m/s\) -- Initial Velocity

It is 0 because the plane starts from a standstill

\(v = 350mi/h\) -- final velocity

\(t = 45s\) -- time

Required

Determine the acceleration

This is calculated using Newton's first equation of motion

\(v = u + at\)

Convert time to hour

\(t = 45s\)

\(t = \frac{45}{60}hr\)

\(t = 0.75hr\)

Substitute values for v, u and t

\(350 = 0 + a*0.75\)

\(350 = 0.75a\)

Divide both sides  by 0.75

\(\frac{350}{0.75} = a\)

\(466.67 = a\)

\(a=466.67m/s^2\)

Hence, the acceleration is 466.7m/s^2

Answer:

This equation is a perfect square binomial so you would just square root the front and then square root the back to get (9x+7)(9x-7)

Step-by-step explanation:

The front is 81x^2 and the back is 49 which are both perfect squares.

The given polynomial, 81x^2 - 49, is a difference of perfect squares. To factor it completely, we can use the formula a^2 - b^2 = (a + b)(a - b).

In this case, a^2 = 81x^2 and b^2 = 49. Taking the square root of both sides, we have a = 9x and b = 7.

Therefore, the value of a is 9x and the value of b is 7.

To factor the polynomial completely, we use the formula (a + b)(a - b). Substituting the values of a and b, we have:

(9x + 7)(9x - 7)

The product of the prime factors is (9x - 7)(9x + 7).

I hope this helps!

The Lim household used 225 kWh of electricity in that month. The solution has been obtained by using the arithmetic operations.

What are arithmetic operations?

All real numbers are thought to be adequately described by the four basic operations, often known as "arithmetic operations." The mathematical operations quotient, product, sum, and difference come after division, multiplication, addition, and subtraction.

We are given that the Lim household paid $45 for electricity usage in a certain month and each electricity (in kWh) is charged at $0.20​.

Let the electricity used be x.

So, we get an equation as

⇒ 0.20x = $45

Using the division operation, we get

⇒ x = 225 kWh

Hence, the Lim household used 225 kWh of electricity in that month.

Learn more about arithmetic operations from the given link

brainly.com/question/30283549

#SPJ1

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

On the translation of △ABC to △A′B′C′, the rule applied to the vertices is:

(x,y) -> (x + 4, y).

Hence it was translated 4 units right.

On the translation of △A′B′C′​ to △A′′B′′C′', the rule is given by:

(x,y) -> (-y,x).

Hence it was rotated 90 degrees counterclockwise about the origin.

The triangle keeps the same size after the translations, hence:

Because the transformations are both rigid, the pre-image and the image are congruent.

More can be learned about translations at https://brainly.com/question/4521517

#SPJ1

Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

a) the Central Limit Theorem conditions are met. b) The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c) . A 90% confidence interval would be wider than the 95% interval

To verify the Central Limit Theorem (CLT) conditions, we need to check the following:

1. Random Sampling: The survey states that 800 adults were randomly selected, which satisfies this condition.

2. Independence: We assume that the responses of one adult do not influence the responses of others. This condition is met if the sample is collected using a proper random sampling method.

3. Sample Size: To apply the CLT, the sample size should be sufficiently large. While there is no exact threshold, a common rule of thumb is that the sample size should be at least 30. In this case, the sample size is 800, which is more than sufficient.

Therefore, the Central Limit Theorem conditions are met.

b. To find a 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views, we can use the formula for calculating a confidence interval for a proportion:

CI = p ± z * √(p(1-p)/n)

where:

- p is the sample proportion (82% or 0.82 in decimal form).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.96.

- n is the sample size (800).

Calculating the confidence interval:

CI = 0.82 ± 1.96 * √(0.82(1-0.82)/800)

CI = 0.82 ± 1.96 * √(0.82*0.18/800)

CI = 0.82 ± 1.96 * √(0.1476/800)

CI = 0.82 ± 1.96 * √0.0001845

CI ≈ 0.82 ± 1.96 * 0.01358

CI ≈ 0.82 ± 0.0266

The 95% confidence interval for the proportion of adults who believe in protecting the rights of those with unpopular views is approximately 0.7934 to 0.8466.

c. A 90% confidence interval would be wider than the 95% interval. The reason is that as we increase the confidence level, we need to account for a larger margin of error to be more certain about the interval capturing the true population proportion. As a result, the interval needs to be wider to provide a higher level of confidence.

Learn more about confidence interval at https://brainly.com/question/73194

#SPJ1

Answer:

976

Step-by-step explanation:

would you stop it already

Answer: 976m^2

Step-by-step explanation:

An easy way to find the surface area of a prism is to find the area of each side and add them all together.

Area of rectangle:

14mx10m=140m^2

Area of rectangle:

25mx10=250m^2

Since there are 2 of the long rectangles, you multiply by 2:

250m^2x2=500m^2

Area of triangle:

(24mx14m)/2=168m^2

Since there are 2 triangles, you multiply by 2:

168m^2x2=336m^2

Surface Area:

140+500+336=976m^2

In a right triangle, two of the sides meet at 90 degrees

This means that one of its angles is 90 degrees

we have also been told that another angle is 28 degrees

To get the third angle:

The Sum of angles in a triangle is 180 degrees

let the unknown side be represented by y

y + 28 + 90 = 180

y + 118 = 180

y = 180 - 118

y = 62

The third side is 62 degrees

Answer:

28:42

12:21

4:7

Step-by-step explanation:

To get 12:21, divide both numbers by two

To get 4:7, divide 12:21 by 3

Answer:

28:42, 21:14, 7:10.5, 56:84

There are a lot more, but for the basics of ratios you only need to know this:

- The order is very important in the ratio, whatever number came first stays in that order.

- You can only multiply or divide the same numbers. For instance, if the ratio was 1:2, you would multiply or divide the numbers by the same number.

- When you multiply or divide the ratio/numbers, you cannot not only do whole numbers, but also decimals like 0.25 or mixed decimals like 1.5.

- Remember numbers are infinite, so you can multiply or divide your ratio/numbers by any decimal or number.

Hope this helps! :D

Answer:

12.5 %

Step-by-step explanation:

There are 8 total sections, and only one of them is yellow. So if we spun it eight times, the possibility of getting yellow is one time. As a result, 1/8 is 12.5%

Answer:

y=-9x-1

Step-by-step explanation:

since it is perpendicular, the slope must be the opposite reciprocal (-9x) and now we plug the coordinates in, -1=0+b, b is -1

Answer:

y=-9x-1

Step-by-step explanation:

Answer:

12 1/4 or 49/4

Step-by-step explanation:

3 1/2= 7/2 so 7/2×7/2=49/4= 12 1/4

The series appears to be     166, 199, 232, 265, 298, 331

With examples, define sequence?

A list of numbers in a certain order is known as a sequence. A term is the name given to each number in a sequence.

                                      In a series, each term has a place (first, second, third and so on). Take the sequence 5, 15, 25, 35, as an example. Each number is referred to as a word in the sequence.

The last number of the common difference must end in 3

And this must be a 2 digit number

So....the first number must end in 6

The the 4th number must be 265

So..... the 5th number  must end in 8

And the last digit  of the last term must end in  1  [ and begin with 3 ]

Putting all this together  we have that

265  + 2d  =  331

2d  = 66   ⇒  d = 33

So  the first term must be  265 - 3 (66)  =  166

the series appears to be     166, 199, 232, 265, 298, 331

Learn more about sequence

brainly.com/question/21961097

#SPJ4

The equation of the line in slope-intercept form is y = (3/5)x + 2. This form allows us to easily identify the slope and y-intercept of the line and to graph it on a coordinate plane.

To write the equation of a line in slope-intercept form, we use the formula:y = mx + b

where:

- y represents the dependent variable (the vertical axis)

- x represents the independent variable (the horizontal axis)

- m represents the slope of the line

- b represents the y-intercept, the point where the line intersects the y-axis.

In this case, we are given the slope as 3/5 and the y-intercept as 2. Plugging these values into the formula, we get:

y = (3/5)x + 2

This equation represents a line with a slope of 3/5, indicating that for every 5 units we move horizontally (along the x-axis), the line moves 3 units vertically (along the y-axis). The y-intercept of 2 tells us that the line intersects the y-axis at the point (0, 2).

for more search question coordinate

https://brainly.com/question/30197038

#SPJ8

Answer:

(2,4)

Step-by-step explanation:

y=2x, x=-y+6

x=-y+6 ----> y = -x + 6

Now we have:

y = -x + 6

y = 2x

Now, we can set these equations to be equal to each other:

2x = -x + 6

3x = 6

x = 2

To find y, we can just substitue x into one of the originial equations:

y = 2x

y = 2(2)

y=4

Therefore, the answer to this system is (2,4).

Hope this helped!

To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

28.4707 is rounded up to 28.5

Explanation: you have to round up any number higher than 5 to the number on the left

If only 2,836 students were admitted into the Ateneo among 27,813 students, who took the ACET this year, the Ateneo’s acceptance rate is b. 10.2%.

The rate is the ratio of one value, expression, measurement, or quantity compared to another.

The rate represents the quotient of the numerator and the denominator.

The rate is expressed as a percentage by multiplication with 100.

The number of students who took the ACET this year = 27,813

The number of students who were admitted into the Ateneo = 2,836

The percentage or rate admitted = 10.19667% (2,836 ÷ 27,813 × 100)

= 10.2%

Thus, we can conclude that the acceptance rate or percentage is Option B.

Learn more about determining the percentage at https://brainly.com/question/24877689.

#SPJ1

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

For more questions on bags

https://brainly.com/question/31835238

#SPJ8

Answer:

The first choice

Step-by-step explanation:

Answer:

3660

Step-by-step explanation:

'milli..' in the metric system means 1000 th

 there are 1000 milliliters in a liter

   3.66 liters *  1000 ml/liter = 3660 ml

Answer:

b = 161, m = 111

Step-by-step explanation:

b + m = 272

m + 50 = b

Substitute

m + 50 + m = 272

2m = 222

m = 111

Plug in for m

b + 111 = 272

b = 161

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70