You heard it as a FRACTION! please answer this lol I'm clueless :'D

One possible function of the form f(x) = 1/(x - 1/2) - 2/1 satisfies the conditions of having a vertical asymptote of x = 1/2 and a horizontal asymptote of y = -2.

A vertical asymptote occurs when the denominator of a fraction approaches zero, but the numerator does not, causing the function to approach infinity.

To have a vertical asymptote of x = 1/2, we need the denominator of the fraction to be equal to zero at x = 1/2. Therefore, we can write the denominator as (x - 1/2).

However, the function will not have a horizontal asymptote unless the degree of the numerator is less than or equal to the degree of the denominator.

To satisfy this condition, we can set the numerator to be a constant (i.e., degree zero). Let's call this constant k. Therefore, we can write the function as:

f(x) = k/(x - 1/2)

To find the value of k that satisfies the horizontal asymptote condition of y = -2, we can take the limit of the function as x approaches infinity or negative infinity:

lim x→∞ f(x) = lim x→-∞ f(x) = 0

This is because as x approaches infinity or negative infinity, the denominator becomes much larger than the numerator, causing the fraction to approach zero.

Therefore, we need to add a constant to the function to shift it downward by 2 units. Let's call this constant h. Therefore, the function becomes:

f(x) = k/(x - 1/2) + h

To find the value of k and h, we can use the fact that the function has a horizontal asymptote of y = -2 and substitute it into the function:

lim x→∞ f(x) = lim x→-∞ f(x) = -2

Substituting x = ∞ and x = -∞ into the function, we get:

k/(∞ - 1/2) + h = -2

k/(-∞ - 1/2) + h = -2

Since 1/∞ and 1/-∞ approach zero, we can simplify the equations to:

k/-1/2 + h = -2

k/1/2 + h = -2

Simplifying further, we get:

-k/2 + h = -2

k/2 + h = -2

Solving for k and h, we get:

k = 4

h = -2

Therefore, the function that satisfies the conditions of having a vertical asymptote of x = 1/2 and a horizontal asymptote of y = -2 is:

f(x) = 4/(x - 1/2) -2

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The probability of drawing a 3 or a heart from a standard deck of cards is 1/4 or 25%.

There are four suits in a standard deck of cards: Hearts, Clubs, Diamonds, and Spades. Each suit contains 13 cards with face values 2 through 10, plus a Jack, Queen, King, and Ace.

Since there are 13 hearts in a standard deck of cards, the probability of drawing a heart is 13/52 or 1/4.

There are four 3s in a standard deck of cards, one in each suit. Since we have already counted the 3 of hearts as a heart, there are three remaining 3s that are not hearts. So the probability of drawing a 3 is 3/52.

To find the probability of drawing a 3 or a heart, we add the probabilities of drawing a heart and drawing a 3, but then we need to subtract the probability of drawing the 3 of hearts twice (because it is both a heart and a 3) to avoid double-counting. So the probability of drawing a 3 or a heart is:

P(3 or Heart) = P(Heart) + P(3) - P(3 of Hearts)

= 1/4 + 3/52 - 1/52

= 13/52

= 1/4

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The price of the widgets for which it should be sold to make the maximum profit is $25.4   .

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We know that the quadratic equation ax² + bx + c ,

If a < 0; then the maximum value of the quadratic equation will be at x = -b/2a .

Given;

a company is selling a widget;

the selling price of each widget is = x

the profit made by the company = y

the equation of profit is given as y = −3x² + 152x − 1150 ,

here a = -3 , b = 152 and c = -1150

In the given quadratic equation we can see that;

a < 0 , so , the maximum will be at;

x = -b/2a

x = -152/2(-3)

x = 152/6

x = 25.333

x ≈ 25.4

Hence, the price of the widget will be $25.4  

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Answer:

H is 11

Step-by-step explanation:

the sign stays the same so

16 - 5

gives us 11

so H is greater or equal to 11

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.

First, let's rewrite the expression for the nth term of the sequence:

an = 5n / (4n + 1)

As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:

an ≈ n / (4n + 1)

Now, we can consider the limit of the sequence as n approaches infinity:

lim(n→∞) n / (4n + 1)

To evaluate this limit, we can divide both the numerator and denominator by n:

lim(n→∞) (1 / 4 + 1/n)

As n approaches infinity, the term 1/n approaches zero, leaving us with:

lim(n→∞) 1 / 4 = 1/4

Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.

In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.

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The interest rate for the savings account is 5% after 4 years, $20,000 deposited in a savings account with simple interest earned $800 in interest.

We can use the formula for simple interest to solve the problem:

Simple interest = (Principal * Rate * Time) / 100

where Principal is the initial amount deposited, Rate is the interest rate, and Time is the time period for which the interest is calculated.

We know that the Principal is $20,000 and the time period is 4 years. We are also given that the interest earned is $800. So we can plug in these values and solve for the interest rate:

$800 = (20,000 * Rate * 4) / 100

Multiplying both sides by 100 and dividing by 20,000 * 4, we get:

Rate = $800 / (20,000 * 4 / 100) = 0.05 or 5%

Therefore, the interest rate for the savings account is 5%.

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On solving the expression 1/2 - 1/10 we get 2/5

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. Example -  5/9. Here, (5) is called numerator and (9) is called denominator.

Given is the following expression -

1/2 - 1/10

We have -

1/2 - 1/10

Multiplying the denominator and numerator in 1/2 by 5, we get -

5/10

Now, the expression becomes -

5/10 - 1/10

(5 - 1)/10

4/10

2/5

Therefore, on solving the expression 1/2 - 1/10 we get 2/5.

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Let Sn = So + X₁ (n ≥ 1) ΣX; i=1 be a simple random walk starting in the random variable So. That is, X1₁, X2,. of i.i.d. random variables independent of So such that = P[X₁ +1]: = p and P[X₁] = q = 1 - p.

A random process, X₁, X₂,... is a simple random walk beginning at So if:It starts at So.Xn = So + X₁+ X₂+ ...+ Xn and that n ≥ 1.It is a Markov process. That is, for all integers n > 1 and So, the distribution of Xn depends only on Xn - 1 and So; it is independent of the history X1, X2,..., Xn - 2.The increments X1, X2,... are independent and identical in distribution.

The random variable Xn represents the amount by which the random walk shifts from n-1 to n. Since the increments X1, X2,... are independent and have the same distribution, the probability distribution of Xn does not depend on n. Consequently, the mean of Xn is 0. The variance of Xn is σ^2, the variance of X1.The generating function of a random variable X is given by its probability distribution function. It's given byGx (z) = E(z^X).The distribution of Xn is obtained by the convolution of the distribution of Xn-1 and the distribution of X1.

Therefore, the generating function of Xn is given byGn (z) = Gn-1 (z) . G1 (z).The generating function of the sum of n independent and identical random variables is given byGn (z) = G (z) ^ n.Gn (z) = G (z) ^ n is obtained by induction. G1 (z) = E(z^X) is the generating function of the increment X1 of the random walk.Considering the generating function of the stationary distribution, we haveG (z) = z^k . (pq) / (1 - pz)If we differentiate G (z) with respect to z, we getdG (z) / dz = k z^k-1 . (pq) / (1 - pz)^2 + z^k . (pq) / (1 - pz)^2 + z^k . p (1 - q) / (1 - pz)^2

This means we havek z^k . pq / (1 - pz)^2 + k z^k . (1 - p) q / (1 - pz)^2 = 0which simplifies to k = p / (1 - p)Consequently, the stationary distribution of the simple random walk is given byPn = (pq)^(n-k) . p / (1 - p).ConclusionThe simple random walk has a stationary distribution given byPn = (pq)^(n-k) . p / (1 - p). The generating function of this distribution isG (z) = z^k . (pq) / (1 - pz) where k = p / (1 - p).

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Answer:legs

Step-by-step explanation: I cannot give a explanation since it is simply math, anything adjacent to a right angle is called a leg.

Answer: the legs? or opposite and hypotenuse.

Step-by-step explanation:

The z-scores will be the same regardless of the unit used for your height because z-scores are unitless.

The z-score will be the same regardless of whether height is measured in inches or centimeters. The z-score is a standardization of a value, which means that it represents the number of standard deviations a value is from the mean of a data set. The z-score is calculated as the difference between a value and the mean of the data set, divided by the standard deviation of the data set.

The formula for calculating the z-score is:

z = (x - μ) / σ

where:

x is the value being standardized

μ is the mean of the data set

σ is the standard deviation of the data set

The z-score will be the same regardless of whether height is measured in inches or centimeters. The z-score is a standardization of a value, which means that it represents the number of standard deviations a value is from the mean of a data set. The z-score is calculated as the difference between a value and the mean of the data set, divided by the standard deviation of the data set. The units used to measure the value do not affect the z-score, as long as the units are consistent within the data set.

So, if height is measured in inches for one data set and in centimeters for another, the z-scores for a given height will be the same, as long as the mean and standard deviation are calculated for the appropriate data set.

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Answer:

yes it is sis

Step-by-step explanation:

hope this helps

have a good one yall

im brooke btw

Answer:

a

Step-by-step explanation:

axhhdhhdlwsk

Answer:

100%

Step-by-step explanation:

An exponential equation with a growth rate can be expressed as: \(f(x)=A(1+r)^x\) where r is a positive number, and represents the growth rate.

In this case since the base of the exponent equals 2, that means r=1, since 1+1=2. This means it has a growth rate of 100%, which makes sense, since the base is 2, meaning it doubles or increases by 100% every time x increases by 1.

Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

It would take less than 10 minutes for the block of metal to reach the specified temperatures.

To solve this problem, we need to calculate the time it took for the block of metal to cool from 99 degrees Fahrenheit to the specified temperatures.

For the first temperature of 90 degrees Fahrenheit, it would take 9 minutes for the block of metal to cool from 99 degrees Fahrenheit to 90 degrees Fahrenheit, since 9 x -1.4 = -12.6, and 99 - (-12.6) = 90.4.

For the second temperature of 85 degrees Fahrenheit, it would take 14 minutes for the block of metal to cool from 99 degrees Fahrenheit to 85 degrees Fahrenheit, since 14 x -1.4 = -19.6, and 99 - (-19.6) = 85.4.

For the third temperature of 80 degrees Fahrenheit, it would take 19 minutes for the block of metal to cool from 99 degrees Fahrenheit to 80 degrees Fahrenheit, since 19 x -1.4 = -26.6, and 99 - (-26.6) = 80.4.

For the fourth temperature of 75 degrees Fahrenheit, it would take 24 minutes for the block of metal to cool from 99 degrees Fahrenheit to 75 degrees Fahrenheit, since 24 x -1.4 = -33.6, and 99 - (-33.6) = 75.4.

Therefore, it would take less than 10 minutes for the block of metal to reach the specified temperatures.

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Therefore, this does not prove Luisa's statement false. Therefore, Luisa's statement is false.

In mathematics, an expression is a combination of numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division, and/or functions of one or more variables, all of which are arranged according to certain rules. Expressions can be as simple as a single number or variable, or as complex as a polynomial or trigonometric function. They are used to represent mathematical relationships and to perform calculations.

Here,

If x=5, then -2x-3=-2(5)-3=-10-3=-13, which is negative. Therefore, this does not prove Luisa's statement false.

However, if x=3, then the expression becomes -2(3)-3=-6-3=-9, which is not negative. Therefore, Luisa's statement is false.

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Answer:

y = 0.5,  1,  1.5,  2

Step-by-step explanation:

x is twice as much as y, so when you multiply the input for y by 2, it should get the value of x. Example: if y is 1, then x is 2, because 1*2 = 2

hope this helped!

Answer:

Step-by-step explanation:

6) Slope = 5

(5 , 40) ; m =5

y - y1 = m(x -x1)

y - 40 = 5 (x - 5)

y -40 = 5x - 25

     y = 5x - 25 + 40

y = 5x + 15

7)  slope = 2

m =2 ;  (-2 , 0)

y - y1 = m(x -x1)

y - 0 = 2(x -[-2])

      y = 2(x +2)

y = 2x +4

8) D) It takes 6 miles to travel a mile

Answer:

\(f(n)=70,000(1.08)^{0.25n}\)

Answer:

1 is the correct answer

Step-by-step explanation:

y2-y1/x2-x1=slope

-2-3/-3-2

-5/=-5

1

Answer:

Step-by-step explanation:

A fisherman is standing on the left bank of a stream that is 115 ft wide. The angle of depression from the edge where he stands to the bottom of the stream on the opposite edge is 52˚. How deep is the river at this point? (round to nearest foot).

Answer:

x^2 + 2x - 1

Step-by-step explanation:

g(x)=(x+1)2−2 would be a quadratic if you'd write it like this:  g(x)=(x+1)^2−2.

This expands to g(x) = x^2 + 2x + 1 - 2  =  x^2 + 2x - 1

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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Answer:

z= 68

Step-by-step explanation:

First Step is to distribute... This simply means to remove the brackets so we have to multiply 4 by both z and 6... lets go...

4 (z + 6) = 296

4z + 24 = 296

Secondly, Send all letters on one side of the equal sign (preferrable the left) and all numbers on the other side...Just remember when ever you sending a letter or number across the equal sign, the sign of the number/letter changes... i.e it will change from positive (+) to negative (-) or vice versa... lets go...

4z + 24 = 296

4z = 296 - 24

4z = 272

z = 272/4

z = 068

The function below shows the number of hours f(x) Greg took to make pudding after he had made it x times is f(x) = 2(0.8)ˣ and the graph of the function is attached below.

The term function in math is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Here we have given that Greg made pudding every weekend.

And here we also know that the more times he made pudding, then the more practice he gained.

According to the time he took to make the same amount of pudding every week decreased with practice.

Here we need to write the function below shows the number of hours f(x) Greg took to make pudding after he had made it x times.

Then the function is written as,

=>  f(x) = 2(0.8)ˣ

While we plot the function on the graph then we get the graph like the following.

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Answer:

D

Step-by-step explanation:

Answer: 1 is correct. 2 is incorrect it should be 0. 3 is incorrect it should be undefined. 4 is incorrect it should be -4/3. The rest is all correct

Step-by-step explanation:2=0, 3=undefined, and 4=-4/3

Answer: Figure D

Figure D is a 180 degree rotation of figure A.

The smallest final thickness that can be obtained for the Cu- 30% Zn brass plate is approximately 2.0944 inches.

To calculate the smallest final thickness that can be obtained for a Cu- 30% Zn brass plate with an elongation greater than 36%, we need to consider the relationship between elongation and thickness.

Elongation is a measure of the material's ability to stretch or deform without breaking. It is typically expressed as a percentage increase in length compared to the original length. In this case, the elongation needs to be greater than 36%.

To calculate the smallest final thickness, we can use the formula:

Final thickness = Original thickness * (1 + Elongation/100)

Let's plug in the given values:

Original thickness = 1.54 inch
Elongation = 36%

Final thickness = 1.54 inch * (1 + 36%/100)
Final thickness = 1.54 inch * (1 + 0.36)
Final thickness = 1.54 inch * 1.36
Final thickness = 2.0944 inch (rounded to four decimal places)

Therefore, the smallest final thickness that can be obtained for the Cu-30% Zn brass plate is approximately 2.0944 inches.

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