Which property of multiplication is shown below? If x = a + bi and y = c+di, x=y=y-x. O commutative property O identity property O distributive property O associative property​

Answer: well count by fives

Step-by-step explanation:

So 5 10 15 20 25 30 35 40 50 55 60 65 70 75

so on so forth you can get 45 gumballs

Have a good day

The mapping rule for a 180° rotation include the following: D. (x, y) → (-x, -y).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Generally speaking, the mapping rule for the rotation of a geometric figure about the origin is given by this mathematical expression:

(x, y) → (-x, -y)

Where:

In conclusion, (x, y) → (-x, -y) is used for the rotation of a geometric figure about the origin.

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The total number of starting lineups (of 5 players) can coach yells lot make, if the starting lineup can't contain both bob and yogi is 672.

An official list of the players who will take part in the event when the game starts is known as a starting lineup in sports. The players who are in the starting lineup are frequently referred to as starters, while the rest are known as bench players or replacements.

Case 1: Bob starts (and Yogi doesn't). In this case, the coach must choose 4 more players from the 10 remaining players (remember that Yogi won't play, so there are only 10 players left to select from). Thus there are 10C4 lineups that the coach can choose.

⇒ ¹⁰C₄ = 10!/4!(10-4)! = 10!/4!6!

⇒ ¹⁰C₄ = (10*8*9*7)/(4*3*2*1)

⇒ ¹⁰C₄ = 210

Case 2: Yogi starts (and Bob doesn't). As in Case 1, the coach must choose 4 more players from the 10 remaining players. So there are 10C4 lineups in this case.

⇒ ¹⁰C₄ = 210

Case 3: Neither Bob nor Yogi starts. In this case, the coach must choose all 5 players in the lineup from the 10 remaining players. Hence there are 10C5 lineups in this case.

⇒ ¹⁰C₅ = 10!/5!(10-5)! = 10!/5!5!

⇒ ¹⁰C₅ = (10*8*9*7*6)/(5*4*3*2*1)

⇒ ¹⁰C₅ = 252

To get the total number of starting lineups, we add the number of lineups in each of the cases:

Case 1 + Case 2 + Case 3

= 210 + 210 + 252 = 672

The total number of starting lineups (of 5 players) can coach yells lot make, if the starting lineup can't contain both bob and yogi is 672.

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Answer:

513

Step-by-step explanation:

Answer:

513

Step-by-step explanation:

Since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

If every term of the sequence is either greater than or equal to (≥) some number M or less than or equal to (≤) some number N (finite numbers), then the sequence is said to be bounded.

Otherwise, the sequence is said to be unbounded. And, if a sequence has a convergent subsequence, then the sequence is called bounded.

Let’s look at the example to answer the question.

Example of an unbounded sequence that has a convergent subsequence:

Let {an} = 1, 2, 3, 4, 5, 6, 7, …It is an unbounded sequence since there is no number that can be defined as M or N, that will make every term of the sequence less than or equal to (≤) or greater than or equal to (≥) this number (M or N).

However, {an} = 1, 2, 3, 4, 5, 6, 7, … has a convergent subsequence which is {an} = 1, 2, 3, 4, 5, 6, 7, … itself.

And, since the subsequence {an} = 1, 2, 3, 4, 5, 6, 7, … is convergent to the limit ∞, thus the original sequence {an} = 1, 2, 3, 4, 5, 6, 7, … must also be unbounded.

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Answer:

x=-14

Step-by-step explanation:

first you add 5 to both sides, to get x/2=-7 then multiply each side by two to get x=-14 that is your answer :D

unless, it is \(\frac{x}{2-5}\)=-12 if so than the answer would be 36

Answer:

A book sold in first month: 33,800 copies

In date copies sold: 6.3 percent of book sold in first month

33,800*63/1000= 4258.8

nearest whole number= 4259 copies.

we can conclude that f(0) is not equal to lim(x→0) f(x) for this particular function.

To show that f(0) is not equal to the limit of f(x) as x approaches 0, we need to evaluate these two quantities separately.

First, let's find f(0):

According to the given definition of the function f(x), when x = 0, we have:

f(0) = 1

Now, let's find the limit of f(x) as x approaches 0:

lim(x→0) f(x) = lim(x→0) [x² - 1] = -1

So, we have f(0) = 1 and lim(x→0) f(x) = -1.

Since f(0) is not equal to the limit of f(x) as x approaches 0, we can conclude that f(0) is not equal to lim(x→0) f(x) for this particular function.

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Answer:

The simplified form is 5x-7 since there's no equals sign.

Step-by-step explanation:

12x-5-7x-2

Then, I combined like variables and got 5x-7.

Answer:

m<FGN=(7x+18)º=88º

Step-by-step explanation:

(7x+18)º=(6x-10)º+38º

x=10

so

m<FGN=(7x+18)º=88º

hope this is the answer you're looking for.

Answer:

The other rational number is \(\dfrac{14}{27}\).

Step-by-step explanation:

First rational number is \(\dfrac{-2}{3}\)

Let other rational number is \(\dfrac{x}{y}\)

The product of two rational numbers is \(\dfrac{-28}{81}\)

According to question,

\(\dfrac{x}{y}\times \dfrac{-2}{3}=\dfrac{-28}{81}\)

Multiplying both sides by (-3/2) such that,

\(\dfrac{x}{y}\times \dfrac{-2}{3}\times \dfrac{-3}{2}=\dfrac{-28}{81}\times \dfrac{-3}{2}\\\\\dfrac{x}{y}=\dfrac{14}{27}\)

So, the other rational number is \(\dfrac{14}{27}\).

Answer:

The other rational number is . 14

Step-by-step explanation:

Answer:

5x - 2y = 18

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{5}{2}\) , then

y = \(\frac{5}{2}\) x + c ← is the partial equation

to find c substitute (4, 1 ) into the partial equation

1 = \(\frac{5}{2}\) (4) + c = 10 + c ( subtract 10 from both sides )

- 9 = c

y = \(\frac{5}{2}\) x - 9 ← in slope- intercept form

multiply through by 2 to clear the fraction

2y = 5x - 18 ( subtract 5x from both sides )

- 5x + 2y = - 18 ( multiply through by - 1 )

5x - 2y = 18 ← in standard form

Replace each of the values of x from the table into the given equation to find the corresponding values of y.

The rule for y in terms of x is:

For x=-5:

For x=-1:

For x=0:

For x=1:

For x=1/6:

Therefore, the table with the corresponding values of y must be:

x y

-5 -33

-1 -9

0 -3

1 3

1/6 -2

Answer:

The interest rate would be 2.5%

Answer:

C

Step-by-step explanation:

The equation of a horizontal line is y = c

where c is the value of the y- coordinates the line passes through

The line passes through (- \(\frac{1}{3}\) , 4 ) with y- coordinate 4 , then

y = 4 ← equation of horizontal line

Given equations are

y = 9x² → (1)

y = 4 → (2)

Substitute y = 9x² into (2)

9x² = 4 ( divide both sides by 9 )

x² = \(\frac{4}{9}\) → C

The probability is 9 favorable outcomes out of 1000 total outcomes, which simplifies to 9/1000.

The correct answer is option a. 9/1000.

To determine the probability, we need to count the favorable outcomes and divide by the total number of possible outcomes.

Let's consider the range of numbers from 11 to 1010, inclusive. There are 1000 possible numbers in this range (1010 - 11 + 1 = 1000).

For Al's number to be a whole number multiple of Bill's, we can see that the possible values for Bill's number are 11, 22, 33, ..., 1010. This is because Al's number must be a multiple of Bill's, so it will be some multiple times 11.

Similarly, for Bill's number to be a whole number multiple of Cal's, the possible values for Cal's number are 11, 22, 33, ..., 1010.

Now, we need to count the favorable outcomes where all three numbers satisfy the conditions.

The numbers that are multiples of 11 in the given range are 11, 22, 33, ..., 1010.

There are 91 such numbers in the range.

Out of these 91 numbers, we need to find the ones that are multiples of 11 for both Bill and Cal.

Since Bill's number must be a multiple of Al's, and Cal's number must be a multiple of Bill's, it means that they must be multiples of 11 as well.

So, we have 9 numbers (11, 22, 33, ..., 99, 110) that satisfy all the conditions.

Therefore, the probability is 9 favorable outcomes out of 1000 total outcomes, which simplifies to 9/1000.

The correct answer is option a. 9/1000.

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Answer:

{y l y > 9}

Step-by-step explanation:

Given function:

\(f(x)=3^x+9\)

The given function is an exponential function.

The parent function is the basic equation before the function has undergone any transformation(s).  Therefore, the parent function of the given function is:

The range of the parent function is restricted to positive real numbers as it never takes a negative value.  Furthermore, it never reaches zero (although it approaches y = 0 as x → -∞).  Therefore, the range of the parent function is {y | y > 0}.

As the given function has been translated up 9 units (by the addition of "+ 9"), the range of the given function is translated 9 units up.  So as x approaches negative infinity, y approaches (but never reaches) 9. Therefore, the range of the given function is:

The dependent variable is the "height the ball bounces". The dependent variable is an essential component of the scientific experiment. It is the variable that you control to determine how the changes will impact the subject being investigated.

Height the ball bounces is your dependent variable, which varies based on the other variables.The term dependent variable refers to a variable whose value is determined by the presence of one or more variables (i.e., the independent variables) being evaluated. The dependent variable is commonly represented on the vertical or y-axis of a graph, while the independent variable is frequently shown on the horizontal or x-axis of the same graph.

The term dependent variable refers to a variable whose value is determined by the presence of one or more variables (i.e., the independent variables) being evaluated. The dependent variable is commonly represented on the vertical or y-axis of a graph, while the independent variable is frequently shown on the horizontal or x-axis of the same graph. The dependent variable is the "height the ball bounces". The dependent variable is an essential component of the scientific experiment.

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Answer:

3 days

Step-by-step explanation:

Answer:

Set your calculator to degree mode.

sin(C)/8 = sin(49°)/35

sin(C) = 8sin(49°)/35 = .1725

C = 9.9°

A = 180° - (9.9° + 49°) = 121.1°

35/sin(49°) = a/sin(121.1°)

a = 35sin(121.1°)/sin(49°) = 39.7 feet

The probability of the data vale more extreme than 3.65 is 0.000131.

First of all given that x(value) = μ+3.65σ , where μ is the mean and σ is the standard deviation.

we know that z-score = (x - μ)/σ

z-score = (μ+3.65σ - μ)/σ

z = 3.65σ/σ

z = 3.65

From the normal distribution table,

P(z>3.65) = 0.000131

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Answer:

37

Step-by-step explanation:

Complementary angles together are equal to 90, so it's 90-53=x

you were probably thinking of supplementary angles which are equal to 180 :)

Answer:

g=3

Step-by-step explanation:

all you had to do was divide both sides by 1.4

In 2020, the number of social media users worldwide .Therefore, the number of social media users in the previous year was 3.53 billion.

The number of social media users worldwide in 2020 was 4.19 billion. This represented an increase in social media users of 18.6% from the previous year

Let the number of social media users in the previous year be x. As per the given data,

The increase in social media users from the previous year to 2020 = 18.6%.

We know that, Percentage increase = (Actual increase / Original value) × 100%

So, Using this formula, we get,18.6% = [(4.19 billion - x) / x] × 100%

Simplifying,0.186x = 4.19 billion - x0.186x + x = 4.19 billion

1.186x = 4.19 billion x = 4.19 billion / 1.186x = 3.53 billion

Therefore, the number of social media users in the previous year was 3.53 billion.

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Answer:

32

Step-by-step explanation:

There are two ways of doing this.

Frist, divide the amount of bolts by time. This will get you the bolts produced in 1 minute.

195/20

=

9.75

Now we know that 9.75 bolts are produced every 1 minute.

Lets divide the 312 bolts by the bolts produced per minute. This will give us the amount of minutes it takes to produce the 312 bolts.

312/9.75

=

32.

This is our answer.

Another way of doing thisis to divide the 20 minutes by 195, this will give you how long it takes to produce a single bolt.

20/195

=

0.1025

Now, just multpliy it by 312, and you get how long it takes to produce 312 bolts.

0.1025*312

=

32

And again, you get the answer.

Hope this helps! ;)

Answer:

32 I guess

Step-by-step explanation:

Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

- 2-- 24 - - - - 36

- 2 - 12 - - - - - 18

- 2 - 6 - - - - - - 9

- 3 - 2 - - - - - - 3

The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

= 2/3

Answer:

y = x -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-2) / 2 - 5

-3/-3

1

y = x + b

-2 = 5 + b

-7 = b

y = -7

y = x -7

The error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

Tan(θ) = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Given the uppermost portion of a that is 3.0m long stadia rod is inclined 14 cm toward the observer, therefore, the angle of inclination, θ can be written as

tan(θ)=0.14/3

θ = 2.672°

Also, the rod intercept is 1.75m, therefore, t the error in distance in the distance is,

tanθ=x/1.75

x = 1.75 tan(θ)

x = 1.75 × tan(2.672°)

x = 0.08167 m = 8.167 cm

Hence, the error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

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The numerical value of the standard deviation is never (B) less than the variance and is never negative.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

The standard deviation's numerical value is always greater than the variance and can never be negative.

The lowercase Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation.

Standard deviation may be written as SD.

Therefore, the numerical value of the standard deviation is never (B) less than the variance and is never negative.

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