Given that f(x) = 2x + 1
Find f^-1(x)​

Answer:

x = 18

Step-by-step explanation:

2x = 36

you divide by 2 on both sides, x is issolated and 36/2 is equal to 18.

Answer:

8

Step-by-step explanation:

total: 28 water attractions

pools: p

game areas: p + 2

water slides: 50% of 28 = 14

14 + p + p + 2 = 28

2p = 12

p = 6

game areas:

p + 2 = 6 + 2 = 8

Answer: 8.1 × 10¹⁰

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁶) × (2.7 × 10⁴)

Put like terms together

=3 × 2.7 × 10⁶ × 10⁴

Combine like terms

=8.1 × 10⁶⁺⁴

=\(\boxed{8.1*10^{10}}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8.1 x 10^10

Step-by-step explanation:

When you do this type of problem you want to combine the like terms together, in this case is this.

3 × 2.7 × 10⁶ × 10⁴. So you will get.        

8.1 x 10⁶⁺⁴

Which is 8.1 x 10^10 simplified

Answer:

D. $870; $31,320 from deposits and $3,680 from interest

Explanation:

In order to calculate the monthly payment, we use the formula below:

Given:

• The Financial Goal, A= $35,000

• Rate = 7.5% = 0.075

• Number of compounding period = 12 (Monthly)

• Time, t = 3 years

Substitute into the given formula:

The monthly payment is $870.

Option D is correct.

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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The correct frequency distribution table for the number of car accidents is option A:

Number of accidents | Frequency
-------------------|-----------
0                  | 11
1                  | 10
2                  | 5
3                  | 3
4                  | 2
5                  | 1

To construct this table, we need to count the number of times each value appears in the data set. Hence, in order to construct a frequency distribution table for the number of car accidents list the possible number of accidents in ascending order and count the occurrences of each number in the given data.

For example, there were 11 people who reported being involved in 0 accidents, 10 people who reported being involved in 1 accident, and so on. These counts are then organized into a table with the corresponding number of accidents and their frequencies.

Hence, the frequency distribution table is option A:

Number of accidents | Frequency
-------------------|-----------
0                  | 11
1                  | 10
2                  | 5
3                  | 3
4                  | 2
5                  | 1

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Answer:

5.89

Step-by-step

You need to subtract   9.28-3.39= 5.89

The solution is 1.15 feet²

The area occupied by 1 pound bag of seeds is 1.15 feet²

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Let the area occupied by one pound of seeds be A

The area occupied by 20 pound bag of seeds = 23 feet²

So , the equation will be

The area occupied by one pound of seeds be A = area occupied by 20 pound bag of seeds / 20

Substituting the values in the equation , we get

The area occupied by one pound of seeds be A = 23/20

The area occupied by one pound of seeds be A = 1.15 feet²

Therefore , the value of A is 1.15 feet²

Hence , the area occupied is 1.15 feet²

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Answer:

x = 49º

Step-by-step explanation:

This is  right angle, and right angle's are always a 90º angle. 90º - 41º is 49.

So the basic answer is 49, but it's properly written as "49º".

Hope this helps!!

The value of x: 49 degrees

Note: All the angles in a triangle add up to 180 degrees

What we're given:

41 degrees, A right angle, and x.

A right angle is 90 degrees.

Equation:

41 + 90 + x = 180

131 + x = 180

x = 49 degrees

Answer:

3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

447 = 3 ×149

577 = 577 (prime number)

669 = 3 × 223

HCF = 1

Answer:

The line from point R to point T

Step-by-step explanation:

RT with a line above it means the line from point R to point T.

Therefore, the solution to this given problem is the standard deviation comes out to be 139.41 .

A measure of how far measurements for a group deviate from the mean is called standard deviation (mean or expected value). A low standard deviation indicates that most of the numbers are within a few standard deviations of the average, whereas a large standard deviation indicates that the numbers are more dispersed.

Here,

Given:

sample size(n) =100

SE =13.941

Since we are aware, the standard error of the mean

=> SE = \(\frac{\alpha }{\sqrt{n} }\)

So α = SE * \(\sqrt{n}\) = 13.941 * 10 = 139.41

Therefore, the standard deviation comes out to be 139.41 .

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Answer:

a) p = 28/100    p  =  0,28      or     p  =  28%

b) SE = 0,0448

c) CI 95 %  =  ( 0.1921 ; 0.368 )

We can support with 95 % of confidence that the proportion of people with a College degree would be found within these limits

Step-by-step explanation:

a) Sample proportion:  Is the number of positive success divide by sample size

That is from 100 ( individuals) ( sample size ) it was found that 28 had College degree  ( positive success)

Then p = 28/100    p  =  0,28      or     p  =  28%

b) The standard error is

SE =  (√p*q)/n

p = 0,28   then  q =  1  -  0,28     q  =  0,72

SE =   √ (0.28)*(0.72)/100

SE =  √0.002016

SE = 0,0448

c) CI =  95 %     then  significance level is  α =  5 %    α = 0.05  

α/2 =  0.025

From z- table we find z(c)  = 1.96

Then  CI 95 %  =  p₀  ±  z(c) * SE

CI 95 %  =  0.28  ±  1.96*0.0448

CI 95 %  =  ( 0.28 ±  0.088 )

CI 95 %  =  ( 0.1921 ; 0.368 )

d) We can support with 95 % of confidence that the proportion of people with college degree would be found within these limits

Answer:

2

Step-by-step explanation:

Whatever is before the x will always be the slope.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(m = -\frac{2}{5}\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\text{We will convert the equation to slope intercept form.}\\\\2x + 5y = 10\\\rule{150}{0.5}\\\rightarrow 2x + 5y = 10\\\\\rightarrow 2x - 2x + 5y = 10-2x\\\\\rightarrow 5y = 10-2x\\\\\rightarrow 5y = -2x + 10\\\\\rightarrow\frac{5y=-2x+10}{5}\\\\\rightarrow\boxed{y = -\frac{2}{5}x+2}\)

⸻⸻⸻⸻

Since \(-\frac{2}{5}\) replaces 'm's spot, it is the slope of the given equation.

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The inequality which represents the given phrase is 1/2(3x - 2/3) + 6 ≤  x+5​ and the solution are x ≤ -4/3.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

1/2(3x - 2/3) + 6 ≤  x+5​

3/2 x - 1/3 + 6 ≤  x+5​

3/2 x + 17/3 - x ≤ 5

x/2 ≤ -2/3

x ≤ -4/3

Hence "The inequality 1/2(3x - 2/3) + 6 ≤ x+5 represents the provided sentence, and the answer is x ≤  -4/3.".

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Answer:

\( \sqrt{29} \)

Step-by-step explanation:

Distance between C and D=

under root[(5-0)^2+(2-0)^2]

=under root(25+4)

=under root29

Answer:

x = 2 so 8 = 4+x2

Step-by-step explanation:

Answer:

4+4=8

Step-by-step explanation:

YAwhats wrong

A.  Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.

B. LP Model: Decision Variables, Objective Function, Constraints.

C. set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.

D. it would not be feasible to deploy buses to Malacca.

E. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).

(a) Three practical assumptions applicable to this particular linear programming (LP) problem could be: Constant demand, Fixed costs and prices, Full utilization of capacity.

Constant demand: The LP model assumes that the demand for Merlion's point-to-point coach services remains constant throughout the planning period. This means that the number of passengers traveling between Singapore and Malaysia is assumed to be consistent.

Fixed costs and prices: The LP model assumes that the costs associated with operating the buses, such as fuel, maintenance, and driver salaries, remain fixed. It also assumes that the ticket prices charged to passengers are constant and do not change based on factors like demand or competition.

Full utilization of capacity: The LP model assumes that all available seats on each bus will be filled by passengers. It does not account for scenarios where there might be empty seats due to insufficient demand or other factors.

(b) LP Model: Decision Variables, Objective Function, Constraints.

Decision Variables:

Let X i represent the number of buses deployed to city i, where i can take values 1 to n (n being the total number of cities in Malaysia).

Objective Function:

Maximize daily profit:

Maximize Profit = ∑(Revenue - Cost)

Constraints:

Capacity constraint for each city:

∑(X i * Seats per Bus) ≤ Total Available Seats

Demand constraint for each city:

X i ≥ Minimum Demand i

Non-negativity constraint:

X i ≥ 0 for all i

(c) Solution using Excel Solver:

Please provide the following information:

Total available seats

Seats per bus

Minimum demand for each city

Revenue and cost data

With the given input, I can help you set up the LP model in Excel and run Solver to obtain the answer and sensitivity reports.

(d) To determine the profit per passenger required for buses to be deployed to Malacca, we need to consider the revenue and cost associated with each passenger. Let's assume the revenue per passenger is R and the cost per passenger is C.

The profit per passenger can be calculated as follows:

Profit per Passenger = Revenue per Passenger - Cost per Passenger

To deploy buses to Malacca, the profit per passenger should be at least equal to zero or positive. If the profit per passenger is negative, it means that the cost per passenger is higher than the revenue per passenger, resulting in a loss for each passenger. In such a case, it would not be feasible to deploy buses to Malacca.

(e) If two buses were to break down on a given day, it would impact Merlion's profit because there would be a reduction in the number of available buses to transport passengers. This could result in a lower revenue as fewer passengers can be accommodated.

To analyze the impact on profit, you would need to consider the revenue and cost implications of operating with reduced capacity. The revenue would decrease due to the lower number of passengers, while the cost may remain relatively fixed (assuming the breakdowns do not incur additional repair costs).

By estimating the revenue and cost changes based on the reduced capacity, you can compare the new profit with the original profit to determine the impact.

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Trigonometric functions, rational functions, hyperbolic functions, and log functions are some examples of having inverse.

The inverse of a function is basically a reverse function or undo of the function.

For example y = f(x) then the inverse will be x = f(y).

It means in the inverse function we need to interchange x and y.

Suppose a function,

y = sinx here x is the angle while y is the real number.

Now, x = sin⁻(y) here sin⁻(y) is a function of x as inverse.

Another example y = 2x

x = 2/y if x is output then it will be inverse.

Hence "Trigonometric functions, rational functions, hyperbolic functions, and log functions are some examples of having inverse".

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Answer:

10 días

le pagan 75 por dia.

Step-by-step explanation:

150÷2 =75

75×10=750

Answer:

C.

Step-by-step explanation:

The area of trapezoid is calculated with the following formula:

\( \frac{a + b}{2} \times h\)

The measures are given:

height = 7 in

base1 = 12

base2 = 16

According to the given measures the correct answer would be C:

\( \frac{1}{2} (12 + 16)(7)\)

The probability of the shop purchasing is 5/9.

Let X be the number of non-defective engines purchased by the auto shop out of the 4 engines bought. We want to find P(X >= 3), the probability of getting at least 3 non-defective engines.

Using the hypergeometric distribution formula, we have:

P(X >= 3) = P(X = 3) + P(X = 4)

where

P(X = k) = (C(7, k) * C(2, 4-k)) / C(9, 4)

So, we have:

P(X = 3) = (C(7, 3) * C(2, 1)) / C(9, 4) = (35 * 2) / 126 = 5/18

P(X = 4) = (C(7, 4) * C(2, 0)) / C(9, 4) = (35 * 1) / 126 = 5/18

Therefore,

P(X >= 3) = 5/18 + 5/18 = 10/18 = 5/9

So the probability of the shop purchasing at least 3 non-defective engines is 5/9.

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Answer:

60 feet

Step-by-step explanation:

p = 14.7 + 0.445d

solve for d when p=41.4

All three components of the fire triangle are usually present whenever and wherever surgery is performed. The fire triangle consists of three elements: fuel, heat, and oxygen.

In the context of surgery, nitrous oxide can be considered as a source of the fuel component of the fire triangle. Nitrous oxide is commonly used as an anesthetic in surgery, and it is highly flammable. It can act as a fuel for fire if it comes into contact with a source of ignition, such as sparks or open flames.

Therefore, it is important for healthcare professionals to be aware of the potential fire hazards associated with the use of nitrous oxide in surgical settings and take appropriate safety precautions to prevent fires.

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Answer:

3×6 + 3×6 =36

Step-by-step explanation:

3 multiply 3+3 = 3*6 =18×2 =36

Answer:

Step-by-step explanation:

=3(3+3)+3(3+3)

=3x6+3x6

=18+18

=36

I hope this helps

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Answer:

x=65

Step-by-step explanation:

this is the answer

Answer:

x = 13×5 = 65

it can be I am not too much sure but 65 can be answer

Answer: the answer is 5^6

Step-by-step explanation:

When you are multiplying exponents with the same base you add the exponents so 3+3=6

Answer:

Step-by-step explanation:

There are the same angles in similar triangles but sides not necessarily.

In congruent triangles there are the same angles and the same sides.

Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.

Answer: 7.7 m

Step-by-step explanation:

Given that Neil's footstep is 56 cm long and his dad's is 70 cm long.

If their footsteps overlapped 11 times, this shows that the longer footstep will surely be 11 different steps since the difference between the two footsteps is not upto the half of the smaller one.

The distance between the two trees will be 70 cm × 11 = 770 cm

Convert centimeters to meter by dividing it by 100

770/100 = 7.7 meter.

Therefore, the distance between the two trees in metre is 7.7 m

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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