f(x)=1/x; Find f(1/2)​

Therefore, Hans walks 24500 meters in 7 days using equation.

To convert kilometers to meters, we use the conversion factor of 1 kilometer = 1000 meters.

Hans walks 3.5 km every day.

To find how far he walks in 7 days, we multiply the distance walked in one day (3.5 km) by the number of days (7):

3.5 km * 7 = 24.5 km

Since we want the answer in meters, we can convert the result to meters by multiplying by 1000:

24.5 km * 1000 = 24500 meters

Therefore, Hans walks a total of 24500 meters in 7 days.

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The probability that the digit 7 doesn't appear among 100 digits is 9/10, or 90%.

The probability that the digit 7 doesn't appear among 100 digits where each digit is one of (0-9) and all sequences are equally likely is given by the probability that all 100 digits are chosen from the set {0, 1, 2, 3, 4, 5, 6, 8, 9}. There are 10 choices for each digit, so there are 10^100 possible sequences of 100 digits. The number of sequences that don't contain the digit 7 is 9^100. Therefore, the probability that the digit 7 doesn't appear among 100 digits is: P(7 doesn't appear) = (9^100) / (10^100) = 9 / 10

Therefore, the probability that the digit 7 doesn't appear among 100 digits is 9/10, or 90%.

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Answer:

\(x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}\)

Step-by-step explanation:

Square root both sides:

\(4x - 1=\sqrt{11}\) (There is supposed to be a ± sign but I couldn't do it on the equation thing)

\(4x=\sqrt{11}-1\)

or

\(4x=-\sqrt{11} -1\)

\(x=\frac{\sqrt{11}-1 }{4} , x=\frac{-\sqrt{11}-1 }{4}\)

Answer:

PLEASE APPRECIATE IT

Step-by-step explanation:

Square root both sides:

4x - 1=\sqrt{11} (There is supposed to be a ± sign but I couldn't do it on the equation thing)

The limiting distribution of yn is a point mass at β.

To find the limiting distribution of yn, we will use the Central Limit Theorem (CLT), which states that the sum of a large number of independent and identically distributed (i.i.d.) random variables, each with finite mean and variance, will be approximately normally distributed.

First, we need to find the mean and variance of yn:

E(yn) = E(xn/n) = (1/n)E(xn) = (1/n)(αβ) = β

Var(yn) = Var(xn/n) = (1/n^2)Var(xn) = (1/n^2)(αβ^2) = β^2/n

Now, we can apply the CLT to yn:

(zn - β) / (σ / sqrt(n)) ~ N(0,1)

where zn = yn, σ^2 = Var(yn) = β^2/n.

As n approaches infinity, the distribution of yn approaches a normal distribution with mean β and variance 0, since σ^2 approaches 0:

lim n->∞ P(zn ≤ z) = Φ((z-β)/0) = Φ(∞) = 1, for any z.

Therefore, the limiting distribution of yn is a point mass at β. In other words, yn converges in probability to β as n approaches infinity.

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The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

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The solution for x is x ≤ -3/4.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

To solve for x in the inequalities:

5x - 4 ≥ 12 and 12x + 5 ≤ -4

We'll solve each inequality separately:

5x - 4 ≥ 12

Adding 4 to both sides, we get:

5x ≥ 16

x ≥ 16/5

So the first inequality is solved for x as x ≥ 16/5.

Now, 12x + 5 ≤ -4

Subtracting 5 from both sides, we get:

12x ≤ -9

x≤ -9/12

x≤ -3/4

The only values of x that satisfy both inequalities are those that are less than or equal to -3/4.

Therefore, the solution for x is x ≤ -3/4.

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Answer:

y= -4x+18

Step-by-step explanation:

the answer is x=y/4+9/2 when solving for x

mark me as a brainliest please <3 thank you!

The probability of dealt not in the same suit is 0.153.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

There are  ⁵²⁵P₅=2,598,960  total ways to draw 5 cards.

There are 4 ways to draw a straight flush with specific ranks - i.e.  ⁴P₁=4  ways to pick the suit, then 1 way to get 4,5,6,7,8

So the probability is  4/2,598,960=1649,740≈0.00000153908 =0.153.

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we need to consider the total number of possible hands and divide it by the total number of possible combinations.

There are 52 cards in a standard deck, and we want to find the probability of being dealt a 4, 5, 6, 7, and 8 (not necessarily in the same suit). Let's break down the calculation:Number of favorable outcomes,We have 4 choices for each card (4 suits).For each card (4, 5, 6, 7, and 8), there are 4 possible cards (one in each suit).So the number of favorable outcomes is 4^5 = 1024.

Number of possible outcomes,We want to select 5 cards from a deck of 52 cards, which can be done in (52 choose 5) ways.So the number of possible outcomes is (52 choose 5) = 2,598,960.Now we can calculate the probability by dividing the number of favorable outcomes by the number of possible outcomes:

Probability = Favorable outcomes / Possible outcomes = 1024 / 2,598,960Let's calculate it:

Probability ≈ 0.00039308163 (rounded to 5 decimal places).Therefore, the probability of being dealt a 4, 5, 6, 7, and 8 (not necessarily in the same suit) is approximately 0.00039.

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Answer:

the domain is -2 and the range is 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain of the graphed function is any value and the range is all positive numbers:

Answer:

131.9 mph

Step-by-step explanation:

First, let's compute the circumference of the wheel, as this gives us the distance the car travels in one revolution of the wheel.

The formula for the circumference of a circle is C = 2πr, where r is the radius of the circle. Given that the radius of the wheel is 20 inches, we can calculate the circumference as follows:

C = 2π * 20 inches = 40π inches

This is the distance the car travels in one revolution of the wheel.

Given that the wheel is making 346 revolutions per minute, the car is moving at a rate of 346 * 40π inches per minute. That's 13840π inches per minute.

Now let's convert this speed to miles per hour.

There are 12 inches in a foot and 5280 feet in a mile. So, there are 12 * 5280 = 63360 inches in a mile.

To convert inches per minute to miles per hour, we first convert inches to miles by dividing by 63360, then convert minutes to hours by multiplying by 60.

So the speed in miles per hour is (13840π / 63360) * 60 ≈ 131.9 mph.

Rounding to the nearest tenth, the linear speed of the car is approximately 131.9 mph.

Answer:

d. 0.2 ( x + 4 )

Step-by-step explanation:

0.2x + 0.8

Both 0.2x and 0.8 have a common factor of 0.2, hence pull 0.2 out.

0.2x + 0.8

0.2 ( x + 4 )

The coefficient of lift is 1.17

C1 = Cn cos α - Ca sin α

Here, α

Cn is the normal force coefficient, and Ca is Substitute 12· for the axial force coefficient for α

C1 = 1.2cos12.-0.03sin 12.

= 1.16

≈1.17

What is the coefficient of normal force?

The Greek letter mu () typically serves as a symbol for it. From a mathematical perspective, = F/N, where F is the normal force and N is the frictional force. The coefficient of friction has no dimensions because both F and N are measured in force units like newtons or pounds.

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Answer:

Domain: { 2,3,4,5}

Step-by-step explanation:

The domain is the inputs to the function

In this case it is the x values

Domain: { 2,3,4,5}

Answer:

C. (2,3,4,5)

Step-by-step explanation:

The domain is x and the range is y.

Using the normal distribution, it is found that 39.4% of restaurants have between 20 and 25 reviews.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given, respectively, by \(\mu = 25, \sigma = 4\).

The proportion of restaurants that have between 20 and 25 reviews is the p-value of Z when X = 25 subtracted by the p-value of Z when X = 20, hence:

X = 25:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{25 - 25}{4}\)

Z = 0.

Z = 0 has a p-value of 0.5.

X = 20:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{20 - 25}{4}\)

Z = -1.25.

Z = -1.25 has a p-value of 0.106.

0.5 - 0.105 = 0.394 = 39.4%.

Hence, 39.4% of restaurants have between 20 and 25 reviews.

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Answer:

no solution

Step-by-step explanation:

3x-11=3x-8

3x=3x+3

0=3

Answer:

Step-by-step explanation:

The top answer is right.    

Answer:

-3/4

Step-by-step explanation:

I used a calc called desmos graphing calc. It is very helpful

Answer:

The answer is B.-3/4

Step-by-step explanation:

Answer:

Many northerners were opposed to the Mexican-American War. Many southerners supported this conflict. A big reason for the different viewpoints regarding our involvement in this war was the issue of slavery. ... The northerners were concerned that many new states would be created from the lands we would receive from Mexico

Hey there,

We have,

f(x) = x² + 11x + 30g(x) = x + 6

Now,

(f.g)(x) = f(g(x))

Substituting...

g(x) = x + 6f(g(x)) = f(x + 6)

Now,

f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132

So,The value is x² + 23x + 132

The Cpk (Process Capability Index) for this machine is 0.5 (rounded to 3 decimal places).

To calculate the Cpk (Process Capability Index), we need to consider the specification limits and the process variation.

The Cpk is given by the formula:

Cpk = min[(USL - μ) / (3σ), (μ - LSL) / (3σ)], Where:

USL = Upper Specification Limit

LSL = Lower Specification Limit

μ = Process mean

σ = Process standard deviation

In this case, the Upper Specification Limit (USL) is 2 + 0.004 = 2.004 inches, and the Lower Specification Limit (LSL) is 2 - 0.004 = 1.996 inches.

Given that the process mean (μ) is 2.001 inches and the process standard deviation (σ) is 0.002 inch, we can substitute these values into the formula:

Cpk = min[(2.004 - 2.001) / (3 * 0.002), (2.001 - 1.996) / (3 * 0.002)]

Cpk = min[0.003 / 0.006, 0.005 / 0.006]

Cpk = min[0.5, 0.833]

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The line through the point (2,0,0) and with direction vector (-1, a, 1) intersects the paraboloid z = x² + y² in only a single point for a = 0 or a = √(2).

To learn more about here:

To find the intersection points, we can substitute the equation of the line into the equation of the paraboloid:

z = x² + y²
z = (2-t)² + a*t²
x = 2-t
y = a*t
where t is the parameter for the line.

Substituting x and y into the equation of the paraboloid gives:
z = (2-t)² + a^2*t²

To find the values of a where the line intersects the paraboloid in only a single point, we need to find the values of a where this equation has exactly one solution. This occurs when the discriminant of the quadratic equation in t is zero:

a²*(2-a²) = 0
a = 0 or a = √(2)

Therefore, the line through the point (2,0,0) and with direction vector (-1, a, 1) intersects the paraboloid z = x² + y² in only a single point for a = 0 or a = √(2).

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To create a 15% acid solution using a 10% solution and a 30% solution, you would need to mix 7.5 liters of the 10% solution with 2.5 liters of the 30% solution to obtain 10 liters of the desired 15% acid solution.

Let's assume you need to create 10 liters of the 15% acid solution.

To find the quantities of the 10% and 30% solutions needed, you can set up an equation based on the concentration of acid in each solution. Let's denote the amount of the 10% solution as x liters and the amount of the 30% solution as (10 - x) liters.

The equation can be set up as follows:

0.10x + 0.30(10 - x) = 0.15(10)

Simplifying the equation gives:

0.10x + 3 - 0.30x = 1.5

Combining like terms:

-0.20x = -1.5 + 3

-0.20x = 1.5

x = 1.5 / 0.20

x = 7.5

Therefore, you would need to mix 7.5 liters of the 10% solution with 2.5 liters of the 30% solution to obtain 10 liters of the desired 15% acid solution.

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To find fx, fy, we differentiate the function : a) fx(-2, 2) = -22, b) fy(-2, 2) = 22.

a) To find fx, we differentiate the function with respect to x while treating y as a constant:

fx(x, y) = d/dx (x² - 9xy + y²)

= 2x - 9y

Now, evaluate fx(-2, 2):

fx(-2, 2) = 2(-2) - 9(2)

= -4 - 18

= -22

Therefore, fx(-2, 2) = -22.

Partial derivatives are a type of derivative that measures the rate at which a function changes with respect to one variable while holding all other variables constant. In other words, it calculates the slope or rate of change of a function with respect to a specific variable, assuming that all other variables remain fixed.

b) To find fy, we differentiate the function with respect to y while treating x as a constant:

fy(x, y) = d/dy (x² - 9xy + y²)

= -9x + 2y

Now, evaluate fy(-2, 2):

fy(-2, 2) = -9(-2) + 2(2)

= 18 + 4

= 22

Therefore, fy(-2, 2) = 22.

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Answer:

$12.72 or $25.44

Step-by-step explanation:

if he buys 2 tickets that are $12 each. half of 12 is 6 so you will have to pay 12 plus tax(6%). to find tax you would multiply 12 x .06 which would be $12.72. if it say the tickets are half off from $24 being $12 each then the answer would be $25.44. the question  dosent specify that.

hope i helped

Answer:

he can buy 14 popcorn which will equal to have left 3 dollars

if he wants to spend all his money it will be

10 drinks and 12 popcorn

Step-by-step explanation:

Answer:

go through the other door and get your dog... and then just wait for a parent to fix the door so you dont rip it of the rims

Step-by-step explanation:

Answer:

Just go out through the backdoor and save your dog and wait for your parents duh

The region in the plane consists of points whose polar coordinates satisfy the given conditions, and it is enclosed by the circles r = 1 and r = 5, and the rays θ = 3π/4 and θ = 7π/4.

A more detailed explanation of the answer.

To sketch the region in the plane, follow these steps:

1. Identify the polar coordinate conditions: 1 ≤ r < 5, 3π/4 ≤ θ ≤ 7π/4.
2. Plot the radial boundaries: r = 1 and r = 5. These are circles with center at the origin (0, 0) and radii of 1 and 5, respectively.
3. Identify the angular boundaries: θ = 3π/4 and θ = 7π/4. These are rays extending from the origin at angles of 3π/4 (135°) and 7π/4 (315°), respectively.
4. Sketch the region enclosed by the radial and angular boundaries. The region will be a sector of an annulus (ring-like shape) bounded by the two circles and the two rays.

The region in the plane consists of points whose polar coordinates satisfy the given conditions, and it is enclosed by the circles r = 1 and r = 5, and the rays θ = 3π/4 and θ = 7π/4.

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Answer:

Picture Below

Step-by-step explanation:

Answer:

Amir spends Rs. 50,000 * 20% = Rs. <<5000020.01=10000>>10,000 on expenses.

The remaining amount, Rs. 50,000 - Rs. 10,000 = Rs. <<50000-10000=40000>>40,000 is deposited in the bank.

Therefore, Amir's expenditure amount is Rs. 10,000 and the amount deposited in the bank is Rs. 40,000.