What can be concluded about a line that passes through the points(1, -2) and (4,-2)? Check all that apply A:The slope is 0. B:The y-intercept is -2. C:The line is vertical. D:The line is horizontal. E:The line has no y -intercept. F:The equation of the line is Y= -2​

After multiplication of pair of complex numbers, the results of product are respectively 45, 41, 73

The complex number is a combination of real number and imaginary number. The representation of complex number is like, a + bi.

where a is real part and b is imaginary part, the value of i is √-1.

i × i = -1

i⁴ = 1

Given that, pair of complex numbers

(6 +3i )×( 6 - 3i) =  6×6 -6×3i + 6×3i - (3i × -3i)

                         = 36 - 18i + 18i + (-3i × 3i)

                         =  36 + 9

                         =  45

(4-5i) × (4+5i)   =  4×4 + 4×5i - 4×5i - (5i × -5i)

                        = 16 - 20i + 20i + (-5i × 5i)

                        = 16+25

                        = 41

(-3+8i) × (-3-8i) = -3×-3 + (-3× -8i) - 3×8i + (8i × -8i)

                        = 9 +24i-24i +64

                        =  73

Hence, The result of products are 45, 41, 73

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Answer: (6 + 3i)(6 − 3i) = 45, (4 − 5i)(4 + 5i) = 41, (−3 + 8i)(−3 − 8i) = 73

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the statement (y<1/2x -4) reads "y is LESS than 1/2 x -4."

to fulfil this statement, follow these steps.

1) graph the line 1/2x -4, there will be a yintercept at (0,-4). Also the slope will be increasing (left to right) because 1/2 has no negative sign before it.

2) recognize the inequality sign. In this situation, the solution does NOT INCLUDE THE LINE, rather it includes the area BELOW/LESS THAN the line. If this, < had a line under it, it would mean less than OR equal to.

3) know that if the line is not included, the line will be broken. If the line IS included, which it is not, it would be a solid line.

Answer:

C

Step-by-step explanation:

First, graph the equation:

The y-intercept is -4.

And the slope is 1/2, an upward sloping line.

So, our graph should be either A, B, or C.

D is not correct, so eliminate that.

So, our inequality is:

\(y<\frac{1}{2}x-4\)

Note that this inequality is strictly less than. There's no "or equal to" bar. Therefore, our line should be dotted.

Thus, eliminate A and B.

So, C is our answer

Further notes:

The inequality sign means that y is less than the equation. In other words, our shaded region should be below the line.

In C, the shaded area is indeed below the line.

So, C is indeed our answer :)

The solution does the given system of equations have is one solution that is (3/2 , 7/2)

What is Linear equation ?

Linear equation can be defined as the equation in which highest degree is one.

Given system of equations ,

x - y = -2

3x + y = 8

so

Lets add two equations ,

x+3x = -2+8

4x = 6

x = 6/4

x = 3/2

So substitute x = 3/2  in x - y  = -2

3/2 - y = -2

3/2 + 2 = y

y = 7/2

Hence, The solution does the given system of equations have is one solution that is (3/2 , 7/2)

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Answer:

it says 6 points not 12 points

Step-by-step explanation:

To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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Answer:

Plane A because it was 27.43 miles away

Step-by-step explanation:

~Kandy~

hope this helped!

brainliest please!

lol, just answered my own question.

Answer:

no it isn't bc 6 is the longest sides,it would have to be a hypotenuse this shows that the three sides do NOT satisfy the Pythagoreen Theroem

Answer:

All right triangles follow Pythagorean theorem. (a² + b² = c² )This triangle is not a right triangle because the sum of both sides squared doesn't equal to the sum of the hypotenuse squared. For example 5²+ 4² \(\neq\) 6².

But there is also a rule to finding out what type of triangle it is.

Right triangle = a² + b² = c²

Obtuse Triangle = a² + b² > c²

Acute Triangle = a² + b² < c²

But if the sum of the two sides are less than the hypotenuse its not a triangle.

Not a Triangle = a + b < c

Dont Forget to give thanks and vote Brainliest! :)

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Answer:

Scale factor = 3

Step-by-step explanation:

A = (4,8) and A’ = (12,24)

4x = 12

X = 12/4

X = 3

The probability notation for choosing a red disk is P(red disk)

From the question, we have the following highlights:

Probability notations are represented as:

P(Event)

Since the event is choosing a red flask, the probability would be

P(red disk)

Hence, the probability notation for choosing a red disk is P(red disk)

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Answer:

3c+3

2c+c+3

Step-by-step explanation:

Got it mostly wrong bec of bad setup

Answer:

dont even know wat ur asking

Step-by-step explanation:

Based on the given sets A and B, the following statements are true:

1. A B = {5,3,2,4}: This statement is true. When two sets are combined, they form a new set that includes all the elements from both sets. Therefore, when set A and set B are combined, the resulting set includes all the elements from both sets, which are {1,2,3,4,5}. However, the order of elements in a set does not matter, so A B = B A.

2. B-A = {4,5}: This statement is false. B-A represents the set of elements that are in set B but not in set A. In this case, B-A would include the elements {4,5}, since they are in set B but not in set A.

3. A-B = {1,3}: This statement is false. A-B represents the set of elements that are in set A but not in set B. In this case, A-B would include the elements {1}, since it is in set A but not in set B. Element 3 is in both sets, so it cannot be in A-B.

4. A n B = {2,3}: This statement is true. A n B represents the set of elements that are in both set A and set B. In this case, elements 2 and 3 are common to both sets, so they are in the intersection of the two sets, which is {2,3}.

In summary, the true statements are:

- A B = {5,3,2,4}
- A n B = {2,3}

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Answer:

a) 2.5×2.5×2.5-1.4×1.4×1.4=12.881

b) (2.5)2+2.5×1.4+(1.4)2=31.5

Step-by-step explanation:

yuh multiple 2.5 three times and subtract 1.4 multiple three times. 2.5×2.5×2.5-1.4×1.4×1.4

15.625-2.744=12.881.

b) when opening bracket Yuh multiple the number in the bracket by the number outside the bracket. when bracket is open Yuh can now add, multiple to obtain your answer please

(2.5)2+2.5×1.4+(1.4)2

5+2.5×1.4+2.8

7.5×4.2=31.5

Answer:

12,500,000. You simply move the decimal point over to the right 7 times.

1.  x² - 5x - 16 can be written as (x - 8)(x + 2).

2. 6an² - 3b²n² = n²(6a - 3b²).

3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².

4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

5. 17x³y⁴z⁶ = (x²y²z³)².

6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

Let's simplify the given expressions:

Simplifying x² - 5x - 16:

To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.

Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).

Simplifying 6an² - 3b²n²:

To simplify this expression, we can factor out the common term n² from both terms:

6an² - 3b²n² = n²(6a - 3b²).

Simplifying 4x² - 4xy + y²:

This expression represents a perfect square trinomial, which can be factored as (2x - y)².

Simplifying n + 1 - n³ - n²:

Rearranging the terms, we have -n³ - n² + n + 1.

Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).

Simplifying 17x³y⁴z⁶:

To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:

17x³y⁴z⁶ = (x²y²z³)².

Simplifying 12a²b³:

To simplify this expression, we can multiply the exponents of a and b with the given expression:

12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.

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The New York Yankees have had several players who hit 50 or more home runs while playing for other teams before joining the Yankees. These players demonstrated exceptional power and home run hitting abilities prior to joining the Yankees. Here, statistics can be used to analyze and interpret baseball data

Throughout the history of baseball, the New York Yankees, known for their rich tradition and success, have attracted numerous talented players. Some of these players had already established themselves as elite power hitters before joining the Yankees. They were able to achieve the impressive feat of hitting 50 or more home runs while playing for other teams prior to their tenure with the Yankees.

These players often brought their exceptional home run hitting skills and offensive prowess to the Yankees, adding to the team's formidable lineup. They became integral parts of the Yankees' success, providing additional power and run production. Their ability to consistently hit 50 or more home runs before joining the Yankees showcased their talent and established them as premier sluggers in the league.

The Yankees' history is filled with remarkable players who have made significant contributions to the team's success, and those who hit 50 or more home runs before joining the Yankees serve as a testament to the caliber of talent that has graced the organization.

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lim x→4 2x x − 4 − 8 x − 4 = lim x→4 2x x − 4 − lim x→4 8 x − 4, If lim x→5 f(x) = 0 and lim x→5 g(x) = 0, then lim x→5 f(x) g(x) does not exist,  If f(3) = 2 and lim x→3+ f(x) = 2, then lim x→3− f(x) = 2, If lim t→0 h(t) does not exist, then h(0) cannot exist all these Limits statement are False

A limit in mathematics is a value that a function approaches when the input gets closer to a certain value. Limits are used to find a function's derivative and integral as well as to characterize how a function behaves around particular places.

lim x -> c f(x) = L

(a) False.

According to the rules of limits, if both limits are present, the limit of a sum of two functions is equal to the total of their limits. The assertion, however, cannot be valid if one or both of the boundaries do not exist.

(b) False.

According to the limit laws, if the sum of two functions approaches 0, then the sum of their limits also does. The opposite of this statement is untrue, though.

In this instance, even if x approaches 5 and both f(x) and g(x) approach 0, the product of their limits, f(x)g(x), may not exist at all or may approach a non-zero value.

(c) False.

A function's limit as x gets closer to a number from the right is not always the same as the limit as x gets closer to the same number from the left.

Although f(3) = 2 in this instance and lim x3+ f(x) = 2, the limit of f(x) as x approaches 3 from the left may not be 2.

(d) False.

The absence of a limit does not imply the existence of the function's value at that time.

In this instance, the value of h(0) may still exist even though the limit of h(t) as t approaches 0 does not exist.

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All these given Limit statement are False.

(a) lim x→4 2x x − 4 − 8 x − 4 = lim x→4 2x x − 4 − lim x→4 8 x − 4

(b) If lim x→5 f(x) = 0 and lim x→5 g(x) = 0, then lim x→5 f(x) g(x) does not exist

(c) If f(3) = 2 and lim x→3+ f(x) = 2, then lim x→3− f(x) = 2

(d) If lim t→0 h(t) does not exist, then h(0) cannot exist.

A limit in mathematics is a value that a function approaches when the input gets closer to a certain value. Limits are used to find a function's derivative and integral as well as to characterize how a function behaves around particular places.

lim x -> c f(x) = L

(a) False.

According to the rules of limits, if both limits are present, the limit of a sum of two functions is equal to the total of their limits. The assertion, however, cannot be valid if one or both of the boundaries do not exist.

(b) False.

According to the limit laws, if the sum of two functions approaches 0, then the sum of their limits also does. The opposite of this statement is untrue, though.

In this instance, even if x approaches 5 and both f(x) and g(x) approach 0, the product of their limits, f(x)g(x), may not exist at all or may approach a non-zero value.

(c) False.

A function's limit as x gets closer to a number from the right is not always the same as the limit as x gets closer to the same number from the left.

Although f(3) = 2 in this instance and lim x3+ f(x) = 2, the limit of f(x) as x approaches 3 from the left may not be 2.

(d) False.

The absence of a limit does not imply the existence of the function's value at that time.

In this instance, the value of h(0) may still exist even though the limit of h(t) as t approaches 0 does not exist.

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Answer:

Step-by-step explanation:

The number of views make a GP since increase 20% or 1.2 times per day

The first term is t = 1090 and common ratio is r = 1.2

Find the sum of the first 21 terms

Answer: 245278 views

Series built : 1090, 1308, 1569.6, 1883.52, 2260.224, 2712.2688,...

As every term increases by 1.2, This is a geometric progression sequence.

\(\sf Geometric \ Sequence: a_1 \ x \ \dfrac{r^n - 1}{r -1}\)

Identify Variable's:

a1 = 1090

r = second term ÷ first term = 1308 ÷ 1090 = 1.2

n = 21

Explanation:

\(\rightarrow \sf 1090 \ x \ \dfrac{(1.2)^{21} - 1}{(1.2) -1}\)

\(\rightarrow \sf 245277.9035\)

\(\rightarrow \sf 245278 \ \ \ \ \ (rounded \ to \ nearest \ integer)\)

The proportion of times we get a value greater than 3 will be approximately 10/27 in the long run.

The probability mass function (PMF) of a discrete random variable (RV) that takes values in {1, 2, 3, ...} is given by:

P (X = k)

= (2/3)^(k-1) * (1/3),

where k = 1, 2, 3, ...

To find the probability of X being greater than 3, we can use the complement rule.

That is, P(X > 3) = 1 - P(X ≤ 3)

So, P(X > 3) = 1 - [P(X = 1) + P(X = 2) + P(X = 3)]

Substituting the values from the given PMF:

P(X > 3) = 1 - [(2/3)^0 * (1/3) + (2/3)^1 * (1/3) + (2/3)^2 * (1/3)]

P(X > 3) = 1 - [(1/3) + (2/9) + (4/27)]

P(X > 3) = 1 - (17/27)

P(X > 3) = 10/27

Therefore, the probability of the RV X taking a value greater than 3 is 10/27.

This can be interpreted as follows: If we repeat the experiment of generating X many times, the proportion of times we get a value greater than 3 will be approximately 10/27 in the long run.

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The measure of forecast accuracy that is susceptible to the problem of positive and negative forecast errors offsetting one another is the mean forecast error.

The mean forecast error (MFE) is the average difference between the actual value and the forecasted value. It measures the direction and magnitude of errors, but it does not account for the magnitude of errors. Positive and negative forecast errors can offset each other when calculating MFE, resulting in a lower error value, even if the forecasts are inaccurate. For example, if one forecast is too high by 10 units, and another forecast is too low by 10 units, the MFE will be zero, indicating no error, even though the forecasts were inaccurate. Therefore, MFE is not an adequate measure of forecast accuracy. On the other hand, mean absolute error (MAE), mean absolute percentage error (MAPE), and mean squared error (MSE) are not susceptible to this problem as they all consider the magnitude of errors. MAE, MAPE, and MSE provide a more accurate assessment of forecast accuracy by measuring the absolute value, percentage, and squared value of errors, respectively.

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Answer:

W = kq1q2 / r

Step-by-step explanation:

W varies jointly as the product of q1 and q2 and inversely as radius r

Product of q1 and q2 = q1q2

W = (k*q1"q2) / r

W = kq1q2 / r

Where,

W = work

q1 = particle 1

q2 = particle 2

r = radius

k = constant of proportionality

The answer is W = kq1q2 / r

Using proportions, it is found that the formula is:

\(W = k\frac{q_1q_2}{r}\)

Then, the formula is:

\(W = k\frac{q_1q_2}{r}\)

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The experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is approximately 0.263

The experimental probability is found by dividing the number of times the desired outcome occurred by the total number of trials. In this case, the desired outcome is selling a slice of pepperoni pizza as the first slice tomorrow.

Since we only know the number of slices sold today, we don't have any specific information about the number of slices that will be sold tomorrow. However, we can assume that the same types of pizzas will be sold tomorrow, and the probability of selling a slice of pepperoni pizza tomorrow will be the same as the proportion of pepperoni slices sold today.

So, the experimental probability that the first slice sold during lunch tomorrow will be a slice of pepperoni pizza is

Experimental probability = Number of pepperoni slices sold today / Total number of slices sold today

Experimental probability = 20 / 76

Experimental probability = 0.263

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ANSWER:

500.5 m²

STEP-BY-STEP EXPLANATION:

To know how much artificial grass should be purchased to cover the athletic field, we must calculate the area corresponding to the figure.

The area of a trapezoid has the following formula:

Where b is the small base, B is the large base and h is the height, we substitute and calculate the area, like this:

It is necessary to purchase the amount of 500.5 m² to be able to cover the athletic field

Answer:

25 cm

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + 24^2 = c^2

49 + 576 = c^2

c^2 = 625

c = 25

Answer: 25 cm

Answer:

- construction of a line parallel to line AB through point P

∠TPU is 75°

Step-by-step explanation:

For Plato users

The image may be the result of the construction of a line parallel to line AB through point P

∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°

Answer:

below

Step-by-step explanation:

Got it right