What is the inverse of the function f(x)=1/9x+2

Answer:

The answer is A!

Step-by-step explanation:

The following can be answered by the concept of Arbitrary sets.

(a) The statement is true.

(b) The statement is true.

(c) The statement is false.

(a) To prove this statement, we need to show that the left-hand side of the equation is equal to the empty set. Let x be an arbitrary element in A -(An B). This means that x is in A, but not in both A and B. Therefore, x must be in B' (complement of B). Hence, x is in (A -(An B)) B if and only if x is in B'. But, this implies that (A -(An B)) B = B' B = 0, which is the empty set. Therefore, the statement is true.

(b) To prove this statement, we need to show that both sets contain the same elements. Let x be an arbitrary element in An (BUC). This means that x is in both A and (BUC). Therefore, x is in A and (B or C) (inclusive OR). This implies that x is either in A and B, or in A and C, or in both B and C. Hence, x is in (ANB) UC. On the other hand, let y be an arbitrary element in (ANB) UC. This means that y is either in A and B, or in C. Therefore, y is in both A and (BUC), or in C. Hence, y is in An (BUC). Therefore, the statement is true.

(c) To disprove this statement, we need to provide a counter example. Let A = {1,2}, C = {2,3}, then AC = {2}, and C - A = Therefore, AU (C - A) = {1,2,3}, but C = {2,3}. Hence, AU (C - A) is not equal to C. Therefore, the statement is false.

Therefore, (a) and (b) are true, but (c) is false.

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Answer:

angle c is right angle because,

it is proved by Pythagoras theorem....

now,we check that

\( {10 }^{2} = {8}^{2} + {6}^{2} \\ 100 = 6 + 36 \\ 100 = 100 \\ lhs = rhs \\ hence \: \: proved \: angle \: c \: is \: right \: angle\)

Answer:

the answer is discrete

this is because Jude's debt is increasing over time, and his debt is increasing because his friend keeps on handing him $5 every weekend

Step-by-step explanation:

Answer:

x=−2,5,−4

explanation:

im learning this in class rn

The height the anchor begins to drop is 17.5 m

Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.

Let

The total height the anchor drops is thus H = h + h'

Now, the total height the anchor drops H = vt where

So, equating both equations, we have

vt = h + h'

Making h subject of the formula, we have that

h = vt - h'

Given that

Substituting the values of the variables into the equation, we have that

h = vt - h'

h = 3.5 m/s × 20 s - 52.5 m

h = 70 m - 52.5 m

h = 17.5 m

So, the anchor drops 17.5 m

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We can use trigonometry to solve this problem. Let the length of the rope be x. Then, we can draw a right triangle where the height of the tree is the opposite side, the length of the rope is the hypotenuse, and the angle of elevation is 60 degrees. The adjacent side can be found using the trigonometric function cosine:

cos 60° = adjacent / hypotenuse

1/2 = adjacent / x

Multiplying both sides by x, we get:

x/2 = adjacent

To find the length of the hypotenuse, we can use the Pythagorean theorem:

hypotenuse^2 = adjacent^2 + opposite^2

Substituting in the values we know, we get:

x^2 = (x/2)^2 + (9√5)^2

Simplifying the right side, we get:

x^2 = x^2/4 + 405

Multiplying both sides by 4, we get:

4x^2 = x^2 + 1620

Subtracting x^2 from both sides, we get:

3x^2 = 1620

Dividing both sides by 3, we get:

x^2 = 540

Taking the square root of both sides, we get:

x = √540 = 6√60

Therefore, the length of the rope that Rachel needs to hang the piñata is 6√60 feet. Rounded to the nearest tenth, this is approximately 74.1 feet.

Answer:

  43.4 ft

Step-by-step explanation:

You want to know the length of rope needed to hang a piñata from the top of a tree that is 9√5 feet tall, if the rope makes an angle of 60° with the ground.

The hypotenuse of the triangle can be found by considering the sine of the 60° angle. The sine of the angle is given by ...

  Sin = Opposite/Hypotenuse

Then the hypotenuse of the triangle can be found from ...

  sin(60°) = tree height / hypotenuse

  hypotenuse = tree height/sin(60°) = 9√5/sin(60°)

We presume the length of rope Rachel wants is the total of the lengths from the anchor point to the tree top and back to the ground. That will be ...

  9√5 + 9√5/sin(60°) = 9√5·(1 +1/sin(60°)) ≈ 43.4 . . . . feet

Rachel needs about 43.4 feet of rope to hang the piñata.

According to the given statement the total deposited into the employee's fund in the first year would be $7,515.

To calculate how much would be deposited into the employee's fund in the first year, we need to add the amount deducted from the worker's salary (7.7%) and the additional contribution made by the company (9%).

Step 1:

Calculate the amount deducted from the worker's salary:

7.7% of the worker's salary = (7.7/100) * 45,000

Step 2:

Calculate the additional contribution made by the company:

9% of the worker's salary = (9/100) * 45,000

Step 3:

Add the two amounts to find the total deposited into the fund:

Total deposited into the fund = Amount deducted from the worker's salary + Additional contribution made by the company

In the first year, an employee with a starting salary of $45,000 would have $3,465 deducted from their pay and deposited into their retirement fund.

Additionally, the company would contribute $4,050 to the fund.

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Answer:

Yes

Step-by-step explanation:

This is a function because every input only has one output.

Answer:

NS= 20

Step-by-step explanation:

4x / 3x-5 (2/1)

4x / 6x-10

-6x -6x

-2x / -10

X / 5

X=5

NS= 4x

NS= 4(5)

NS= 20

Answer:

c

Step-by-step explanation:

Answer:

49 cents

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

Answer:

The answer is B) -3 and 1/3

Explanation:

The answer must be between -3 and -4 because that is the location on the plot.

You count two ticks on the plot. The first one is 1/3. The second one is 2/3.

There is no third one because 3/3 would bring you to the next number.

The dot is on the first tick, meaning that it is 1/3. If the dot is between -3 and -4, you can conclude that the answer is -3 and 1/3.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and marking my answer Brainliest. It would help a lot. Have a great day!

Answer:

B -3 1/3 because that is the place on the plot

Significant figures with representation of x are a) 14.8 m = 14.x m. b) $10.25 = 10.2x. c) 0.05 L = 0.0x L. d) 1.000 g/mL = 1.00x g/mL. e)  6200cm = 6200x cm. f)  403 kg = 40x kg.

a) 14.8m has 3 significant figures. Representation with x in place of estimated digit: 14.x m. b) $10.25 has 4 significant figures. Representation with x in place of estimated digit: 10.2x. c) 0.05 L has 1 significant figure. Representation with x in place of estimated digit: 0.0x L. d) 1.000 g/mL has 4 significant figures. Representation with x in place of estimated digit: 1.00x g/mL. e) 6200cm has 2 significant figures. Representation with x in place of estimated digit: 6200x cm. f) 403 kg has 3 significant figures. Representation with x in place of estimated digit: 40x kg. Significant figures are the digits in a measurement that are reliable and accurate. They provide an indication of the precision of a measurement, and allow us to communicate the level of certainty we have in a particular value. When determining the number of significant figures in a measurement, we typically follow a set of rules. Non-zero digits are always significant, zeros between non-zero digits are significant, and trailing zeros to the right of the decimal point are significant. Zeros at the beginning of a number or to the left of a non-zero digit are not significant. The use of significant figures is important in science and engineering to ensure accurate and reliable measurements. When performing calculations with measurements, the result should be reported with the same number of significant figures as the least precise measurement used in the calculation. In addition, when rounding a number, the last digit should be rounded to the nearest value consistent with the number of significant figures being used. Understanding significant figures is an important part of scientific and mathematical communication, and can help to ensure accuracy and consistency in the reporting of data and calculations.

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The statement given "regression equations are usually used to predict values of unavailable data. if the data do not closely model a particular type of function, then that type of function is not appropriate to use in statistical regression. the more closely data fit a model, the more predicted values will be." is true because regression equations are indeed employed for predicting values of unavailable data.

Regression equations are commonly utilized to make predictions for unavailable data. When the data does not closely conform to a specific type of function, that function is deemed inappropriate for statistical regression. The accuracy of predicted values is contingent on the degree of resemblance between the data and the chosen model. Hence, a strong fit between the data and the model enhances the reliability of predicted values, ensuring that regression analysis is effectively applied for making accurate predictions.

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we have the expression

Remember that

substitute

therefore

a=6

b=2

Answer:

The answer is B. One solution

Answer:

Tom's weekly allowance is $16.

Step-by-step explanation:

With the information provided, first you have to subtract the amount he earned washing the family car from the total amount he had to determine the amount he had left from his allowance after going to the movies:

$15-$7=$8

Now, since the statement indicates that tom spent half of his allowance going to the movies, this means that the $8 represents the amount left after going to the movies and it is half of his allowance. So, you have to multiply this amount by 2 to find his weekly allowance:

$8*2=$16

According to this,the answer is that Tom's weekly allowance is $16.

Answer:

b

Step-by-step explanation:

it doesn't go to the y or x axis so  B is it

Answer:

Step-by-step explanation:

a) Let the side of the larger box be x, then the side of the smaller box is 0.3x.

Their volumes are:

The difference in volumes:

b) The sides are 20 in and 20*0.3 = 6 in

c) The other two boxes with sides x and 0.75x

Sum of the volumes:

Sides of the boxes are 12 in and 12*0.75 = 9 in

The probability that Brent draws mismatched socks is 31/153.

To determine the probability that Brent draws mismatched socks, let's analyze the situation step by step:

Total number of socks

Initially, Brent has 16 identical white socks in his drawer. After receiving 2 identical black socks as a gift, the total number of socks in his drawer becomes 16 white socks + 2 black socks = 18 socks.

Drawing the first sock

When Brent draws the first sock without looking, there are a total of 18 socks in the drawer, and he randomly selects one. The probability of drawing a white sock on the first draw is 16 white socks / 18 total socks = 8/9. Similarly, the probability of drawing a black sock on the first draw is 2 black socks / 18 total socks = 1/9.

Drawing the second sock

After drawing the first sock, Brent has one sock on his left foot. For the second draw, there are now 17 socks remaining in the drawer. If the first sock he drew was white, there are still 16 white socks and 2 black socks left. If the first sock he drew was black, there are 15 white socks and 2 black socks left.

Considering these two scenarios, let's calculate the probability for each:

Scenario 1: The first sock drawn is white

Probability of drawing a white sock on the second draw: 16 white socks / 17 total socks

Probability of drawing a black sock on the second draw: 2 black socks / 17 total socks

Scenario 2: The first sock drawn is black

Probability of drawing a white sock on the second draw: 15 white socks / 17 total socks

Probability of drawing a black sock on the second draw: 2 black socks / 17 total socks

Calculating the probability of mismatched socks

To find the probability of drawing mismatched socks, we need to consider both scenarios and calculate the probabilities separately.

The probability of mismatched socks can be obtained by adding the probabilities of drawing a white sock on the first draw and then a black sock on the second draw, and the probabilities of drawing a black sock on the first draw and then a white sock on the second draw.

Probability of mismatched socks = (Probability of white-then-black) + (Probability of black-then-white)

Probability of mismatched socks = [(8/9) * (2/17)] + [(1/9) * (15/17)]

Simplifying the expression, we get:

Probability of mismatched socks = (16/153) + (15/153) = 31/153

Therefore, the probability that Brent draws mismatched socks is 31/153.

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Explanation:

Let's say we had 12 skateboards and 12 scooters. I'm picking 12 because 4*3 = 12 after multiplying the denominators. Doing this trick will mean we end up with whole number results instead of decimals.

If we had 12 skateboards, then (1/4)*12 = 3 of them are red. Having 12 scooters means (2/3)*12 = 8 scooters are red.

Add up the counts of each red item to get 3+8 = 11 red items out of 12+12 = 24 items total. Therefore, the answer is 11/24

Side note: The fraction 11/24 cannot be reduced because 11 and 24 have no factors in common other than 1.

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

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The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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Answer:

25 thats it

Step-by-step explanation:

10×2 because that's 4 hours and then add $5 and you will get 25

Answer:

its 4

Step-by-step explanation:

Answer:

.25

Step-by-step explanation:

hundredth's is the second place over so you look the the 3rd number. 4 or less it stays the same 5 or more you add one

Answer:

18p - 12 = 20

Step-by-step explanation:

=> 6(3p – 2) = 20

=> 6x3p – 6x2 = 20

=> 18p - 12 = 20

Answer:

18p -12 = 20

Step-by-step explanation:

6(3p – 2) = 20

Distribute

6*3p - 6*2 =20

18p -12 = 20

Answer:

I can answer you as long as the problem is to 7th grade. Can I help?

Step-by-step explanation:

Answer:

Im 6th grade basically year 5 in UK

Step-by-step explanation:

im a nerd,class clown, sporty,FRIENDLY.

YEAH I CAN STILL HELP?!