Compute and expressed the result as a mixed fraction?

1) 2+ 3/4

By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

Know more about asymptotes here:

https://brainly.com/question/4138300

#SPJ11

Answer:

Absolute Value

Step-by-step explanation:

– The distance a number is from the zero on a number line. (Absolute value is always positive). Acute Angle - An angle with a measure > than 0° and < 90˚. Acute Triangle– A triangle that has all three angles that are acute.

The 83 car stereos had a CD player only.

Given that,

348 car stereos were recently sold in a car audio store.

131 had a CD player, 133 had a cassette player, and 48 had both a CD and a cassette player.

Let's denote the number of car stereos having only a CD player as 'x'.

Using the given data, we can write,

Total number of car stereos with CD player = number of car stereos with CD player only + number of car stereos with both CD and cassette players

Now, using the values from the given data, we get:

131 = x + 48

Solving this equation for x, we get:

x = 131 - 48 = 83

Therefore, 83 car stereos had a CD player only.

To know more about car stereos visit:

https://brainly.com/question/14336816

#SPJ11

The curve of the given vector equation is shown below: It can be seen that the arrow points towards the positive x-axis, which is in the direction of increasing t.

To sketch curve of the given vector equation, r(t) = < t , 2 - t , 2t >, and indicate with an arrow the direction in which t increases, we need to follow some steps.

Step 1: Create a table for the vector. We need to create a table and fill in the values for t, x, y, and z. Let's do it below:

\(tt (time)xx (position)x(t)x(t)(2−t)(2−t)2t2t\)

Step 2: Plotting the points. We can plot the points by simply taking the x, y and z values from the table created above. The curve will pass through these points. The curve will be three-dimensional.

Step 3: Indicate the direction of t. To indicate the direction of t, we use an arrow on the curve. The arrow is drawn such that it starts from the initial point and points in the direction in which the parameter (in this case, t) increases. In this problem, since t increases in a positive direction, we take the arrow pointing towards the positive x-axis.

for such more question on vector

https://brainly.com/question/28047791

#SPJ11

Using trigonometric identities to simplify the expression, we have sec²(π/2 - x) (sin²(x)-sin⁴(x)) = cos²x

Trigonometric identities are equations that contain the trigonometric ratios.

Since we have the trigonometric expression sec²(π/2 - x) (sin²(x)-sin⁴(x))

We desire to simplify it as follows.

sec²(π/2 - x) (sin²(x)-sin⁴(x))

Using the trigonometric identity sec²(π/2 - x) = 1/cos²(π/2 - x), we have that

sec²(π/2 - x) (sin²(x)-sin⁴(x)) = 1/cos²(π/2 - x) × (sin²(x)-sin⁴(x))

Also, using the fact that cos²(π/2 - x) = sinx, we have that

1/cos²(π/2 - x) × (sin²(x)-sin⁴(x)) = (sin²(x) - sin⁴(x))/sin²x

Factorizing out sin²x, we have that

(sin²(x) - sin⁴(x))/sin²x = (sin²(x)(1 - sin²(x))/sin²x

= 1 - sin²x

= cos²x

So, sec²(π/2 - x) (sin²(x)-sin⁴(x)) = cos²x

Learn more about trigonometric identities here:

https://brainly.com/question/29722989

#SPJ1

Answer:

sry i cant i to dubm need points tho

Step-by-step explanation:

Answer:

let x=amt of pure copper to add:

12%*50+100%x=21%(50+x)

6+x=10.5+.21x

.79x=4.5

x=5.7

amt of pure copper to add: 5.7 kg

Step-by-step explanation:

The expected number of smokers in a random sample of 150 students from this university is 15.

To calculate the expected number of smokers in a random sample of 150 students at a university where 10% of students smoke, you simply multiply the total number of students in the sample by the percentage of students who smoke:
Expected number of smokers = Total number of students x Percentage of smokers
= 150 students x 10%
= 150 x 0.10
= 15
So, if we know that 10% of students smoke at this university, and we have a random sample of 150 students, we can calculate the expected number of smokers as follows:

Expected number of smokers = 150 x 0.10 = 15

Therefore, we can expect that there will be approximately 15 smokers in a random sample of 150 students from this university.


To learn more about random sampling visit;

https://brainly.com/question/31523301

#SPJ11

Answer:

x = 2.5 or 5/2.

Step-by-step explanation:

They're congruent angle, so set them equal to each other

5x + 13 = x + 23

Solve for x:

4x = 10

x = 10/4 = 5/2 = 2.5

Therefore, the sum of the first 1234 terms of this sequence is 1234.

To find the sum of the first 1234 terms of the sequence consisting of 1's separated by blocks of 2's with n 2's in the nth block, we need to determine the number of blocks and the number of 1's in each block.

Let's examine the pattern of the sequence:

Block 1: 2's

= 1's

= 1 (1 2)

Block 2: 2's

= 2's

= 22 (1 22 1)

Block 3: 2's

= 3's

= 222 (1 222 1)

Block 4: 2's

= 4's

= 2222 (1 2222 1)

...

We observe that the number of 2's in each block is equal to the number of the block itself. So, in the nth block, there are n 2's.

Now, let's calculate the number of blocks required to reach the 1234th term:

To find the number of blocks, we need to determine the maximum block number before the 1234th term. We can calculate this by finding the sum of the series 1 + 2 + 3 + ... + n until the sum is greater than or equal to 1234.

The formula for the sum of the series 1 + 2 + 3 + ... + n is given by: S = (n/2)(n+1).

Let's solve this equation:

(n/2)(n+1) = 1234

\(n^2 + n - 2468 = 0\)

Using the quadratic formula:

n = (-1 + √(1 + 4*2468)) / 2

n ≈ 61.76

Since n must be a whole number, we take the ceiling of n, which gives us 62.

Therefore, there are 62 blocks in the sequence.

Next, let's calculate the number of 1's in each block:

In the nth block, there are n 2's. Since each 2 is separated by a 1, there are n + 1 terms in each block.

So, the number of 1's in each block is (n + 1) - n = 1.

Since there is always one 1 between two consecutive blocks, the total number of 1's in the sequence is equal to the number of blocks, which is 62.

Finally, let's calculate the sum of the first 1234 terms:

Each block has n + 1 terms, which gives us (n + 1) + (n + 1) + ... + (n + 1) (62 times).

Sum of (n + 1) repeated 62 times = 62(n + 1)

= 62 * 2

= 124.

In addition to the blocks, we have 1234 - 62 = 1172 remaining terms, which are all 1's.

So, the sum of the first 1234 terms is 62 + 1172 = 1234.

To know more about sequence,

https://brainly.com/question/20707381

#SPJ11

The number of possible permutations of the three letters C, D, and E is d.6

A permutation is an arrangement of objects in a specific order. In this case, we are looking at the number of possible arrangements of the three letters C, D, and E. To find the number of permutations, we can use the formula:

n! = n x (n-1) x (n-2) x ... x 3 x 2 x 1

where "n" is the number of distinct objects to be permuted.

So for our problem, we have three distinct objects (C, D, and E). Therefore, we can plug in n=3 to get:

3! = 3 x 2 x 1 = 6

This means there are 6 possible ways to arrange the letters C, D, and E in different orders. We can list all of these permutations as follows:

CDE

CED

DCE

DEC

ECD

EDC

So the answer to the question is 6, as given in option (d).

Learn more about  permutations:https://brainly.com/question/28065038

#SPJ11

A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).

Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.

As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt

Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.

For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:

E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.

Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:

dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt

where M is a martingale with M(0) = 0.

Thus, X(t) can be represented as an Itô process on [0,T] of the form:

X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds

Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.

To know more about martingale visit:
brainly.com/question/32735198

#SPJ11

Answer:

\(\frac{5}{78}\)

Step-by-step explanation:

First, find the probability that the first card is gray.

Since there are 13 cards in total, and 2 are gray, the probability will be 2/13

Next, find the probability that the second card is pink.

Since there are now 12 cards in total (since there is no replacement), and 5 are pink, the probability is 5/12.

Now, to find the probability that these are drawn in order, multiply the probabilities together:

\(\frac{2}{13}\) x \(\frac{5}{12}\)

= \(\frac{5}{78}\)

So, the probability is \(\frac{5}{78}\)

Answer:

The correct option is;

2.81

Step-by-step explanation:

The critical value \(Z_{\alpha /2}\), is found from the z score table as follows, where the the confidence level is 99.5

Therefore, we have α = 1 - 99.5/100 = 1 - 0.995 = 0.005

α/2 = 0.0025

The critical value is thus found from the z-score table value of 1 - 0.0025 = 0.9975

From the z-table, we can find the 0.9975 score on the row  with z = 2.8 where 0.9975 can be located under the 0.1 column giving the critical value as 2.81

Without the probability distribution, it is not possible to calculate the standard deviation accurately. Thus, none of the provided options can be considered correct without additional information.

To calculate the standard deviation of the returns, we need the probability distribution of the holding-period returns and their corresponding values. Since the probability distribution is not provided in your question, it is not possible to determine the standard deviation.

To calculate the standard deviation, you would typically need the individual returns and their corresponding probabilities. With that information, you can use the formula for calculating the weighted standard deviation:

σ = √[∑(Ri - E(R))^2 * P(Ri)],

where Ri represents the individual returns, E(R) is the expected return, and P(Ri) is the probability of each return.

Without the probability distribution, it is not possible to calculate the standard deviation accurately. Thus, none of the provided options can be considered correct without additional information.

Learn more about probability distribution

brainly.com/question/15930185

#SPJ11

Answer:

Step-by-step explanation:

1 3^2 is =

subtract what u get from up here

boooooom

Answer:

Step-by-step explanation:

y = 5x - 4

y = 6x $\Rightarrow$ x = y/6

y = 5*y/6 - 4

y = 5y/6 - 4

6y = 5y - 24

y = -24.

So, x = -4

We do not have sufficient evidence to conclude that there is more variation in weights of men from town A than in weights of men from town B at the 0.05 significance level.

To test the claim that there is more variation in weights of men from town A than in weights of men from town B, we can perform an F-test for comparing variances. The null hypothesis (H₀) assumes equal variances, and the alternative hypothesis (Hₐ) assumes that the variance in town A is greater than the variance in town B.

The F-test statistic can be calculated using the sample standard deviations (s₁ and s₂) and sample sizes (n₁ and n₂) for each town. The formula for the F-test statistic is:

F = (s₁² / s₂²)

Substituting the given values, we have:

F = (29.8² / 26.1²)

Calculating this, we find:

F ≈ 1.246

To determine the critical value for the F-test, we need to know the degrees of freedom for both samples. For the numerator, the degrees of freedom is (n1 - 1) and for the denominator, it is (n₂ - 1).

Given n₁ = 41 and n₂ = 21, the degrees of freedom are (40, 20) respectively.

Using a significance level of 0.05, we can find the critical value from an F-distribution table or using statistical software. For the upper-tailed test, the critical value is approximately 2.28.

Since the calculated F-test statistic (1.246) is not greater than the critical value (2.28), we fail to reject the null hypothesis. Therefore, based on the given data, we do not have sufficient evidence to conclude that there is more variation in weights of men from town A than in weights of men from town B at the 0.05 significance level.

To know more about sufficient evidence click here :

https://brainly.com/question/32734531

#SPJ4

The question is incomplete the complete question is :

A researcher obtained independent random samples of men from two different towns. She recorded the weights of the men. The results are summarized below:

Town A

n1 = 41

x1 = 165.1 lb

s1 = 29.8 lb

Town B

n2 = 21

x2 = 159.5 lb

s2 = 26.1 lb

Use a 0.05 significance level to test the claim that there is more variation in weights of men from town A than in weights of men from town B.

Answer: p = 4

Step-by-step explanation:

For app one, you start with 140 points, and you lose 10 each time you check your phone.

Then, if you check your phone x times, you will have:

140 - x*10 points in total.

For app two, you start with 80 points, and you lose p points each time you check your phone.

Then, if you check your phone x times, you will have:

80 - x*p points left

We know that when x = 10, you have the same number of points in both apps, then we have the equation:

140 - (10)*10 = 80 - (10)*p

We can solve this for p

140 - 10*10 = 80 - 10*p

140 - 100 = 80 - 10*p

40 = 80 - 10*p

10*p = 80 - 40

10*p = 40

p = 40/10 = 4

Answer:

Step-by-step explanation:

To write the polynomial in standard form, we first need to multiply out the terms using the distributive property. We can start by multiplying the first two factors:

(x - 3)(x - 3) = x(x) - 3(x) - 3(x) + 3(3) = x^2 - 6x + 9

Now we can multiply this result by the third factor:

(x^2 - 6x + 9)(x - 1) = x(x^2) - x(6x) + x(9) - 1(x^2) + 1(6x) - 1(9)

Simplifying this expression by combining like terms, we get:

x^3 - 8x^2 + 21x - 9

So the polynomial in standard form is:

f(x) = x^3 - 8x^2 + 21x - 9

Pirya needs 1 1/2 cups of raspberries for 3/4 of a cake, so she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.

A fraction is a numerical representation of a portion of a total. It consists of two integers, a numerator and a denominator, separated by a line or slash. The numerator reflects the number of equal portions of the whole that are being considered, while the denominator represents the total number of equal parts in the whole. For instance, the fraction "1/2" denotes one of two identical pieces, or half, of the whole. Mathematicians frequently utilize fractions to represent quantities, ratios, and proportions. They are also used in everyday life to signify amounts, such as one-half of a pizza or one-third of a cups of sugar.

How to solve?

she needs 1 1/2 * (4/3) = 2 cups of raspberries for the whole cake.

To learn more about fraction, visit:

https://brainly.com/question/20593515

#SPJ4

a).  2^38 bytes of memory

b). 12 bits

c). The maximum number of entries in the single-level page table would be 2^38.

d). The size would be 2^38 * 4KB, which equals 2^20 pages.

e). The maximum number of entries it can have depends on the remaining bits of the logical address.

f). The amount of bits required to denote an index into the inner page table is obtained by subtracting the offset and outer page index bits from the logical address.

a. To address a physical memory size of 128GB (2^37 bytes), a 64-bit architecture would require 38 bits for the logical address, allowing access to a maximum of 2^38 bytes of memory.

b. Given that the page size is 4KB (2^12 bytes), 12 bits would be needed to specify the displacement into a page. This means that the lower 12 bits of the logical address would be used for page offset or displacement.

c. With a single-level page table, the maximum number of entries would be equal to the number of possible logical addresses. In this case, since the logical address requires 38 bits, the maximum number of entries in the single-level page table would be 2^38.

d. The size of the single-level page table is determined by the number of entries it contains. Since each entry maps to a page of size 4KB, the size of the single-level page table can be calculated by multiplying the number of entries by the size of each entry. In this case, the size would be 2^38 * 4KB, which equals 2^20 pages.

e. For a two-level page table, the size of the outer page table is determined by the number of entries it can contain. Since the outer page table uses 4KB pages, the maximum number of entries it can have depends on the remaining bits of the logical address. The number of bits used for the index into the outer page table is determined by subtracting the bits used for the inner page index and the offset from the total number of bits in the logical address.

f. The number of bits used to specify an index into the inner page table can be determined by subtracting the bits used for the offset and the bits used for the outer page index from the total number of bits in the logical address. The remaining bits are then used to specify the index into the inner page table.

Learn more about bytes here:

https://brainly.com/question/15166519

#SPJ11

Answer:

y=3.7x + 120.3, 180

Step-by-step explanation:

Add them into a graphing calculator and you get y=3.7x + 120.3

Put 16 in for x:

3.7 (16) + 120.3

59.2 + 120.3 = 179.5, rounds to 180

Answer:

θ = 30°

Angle of elevation is 30°

Step-by-step explanation:

Given;

Height of wall w = 10 ft

Length of ramp l = 20 ft

Angle of elevation = θ

Applying trigonometry;

Sinθ = opposite/hypothenuse

Where;

Height of wall w = opposite (it's opposite the angle of elevation)

Length of ramp l = hypothenuse

Sinθ = w/l

θ = arcsine (w/l)

Substituting the values;

θ = arcsine (10/20)

θ = arcsine (0.5)

θ = 30°

Angle of elevation is 30°

Answer:

The answer is C

Step-by-step explanation:

Answer:C

Step-by-step explanation:

got it right on edge2022

Answer:

-1

Step-by-step explanation:

Therefore, the area of the ice cap was changing at a rate of approximately -20629 square miles per year in 2013.

To find the rate at which the area of the ice cap was changing in 2013, we can use the formula for the derivative of the area with respect to time.

Given:

Radius of the ice cap (r) = 792 mi

Rate of change of radius (dr/dt) = -4.1 mi/yr (negative because the radius is shrinking)

The formula for the area of a circle is A = πr²

Taking the derivative of both sides of the equation with respect to time (t), we get:

dA/dt = 2πr(dr/dt)

Substituting the given values:

dA/dt = 2π(792)(-4.1)

Calculating the value:

dA/dt ≈ -20629

To know more about area,

https://brainly.com/question/487842

#SPJ11

The value of tensions are:

T₁ = 231/74

T₂ = -329/66

T₃ = 8/33

We can use Gaussian elimination to solve the system of equations:

5T₁ + 3T₂ + 5T₃ = 70

T₁ + 2T₂ + 4T₃ = 24

4T₁ + 2T₂ = 40

First, we'll use the third equation to eliminate T₂ from the first two equations:

4T₁ + 2T₂ = 40   (equation 3)

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

Multiplying the third equation by 2 and subtracting it from the second equation:

T₁ + 2T₂ + 4T₃ = 24   (equation 2)

- 8T₁ - 4T₂ = -80   (2 × equation 3)

------------------------

-7T₁ + 4T₃ = -56

Now we have two equations:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

Multiplying the first equation by 7/5 and adding it to the second equation:

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

-7T₁ + 4T₃ = -56   (from previous step)

------------------------

T₁ + 7T₃ = 14

Now we can use the third equation to eliminate T₂ from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

5T₁ + 3T₂ + 5T₃ = 70   (equation 1)

Multiplying the third equation by 3/2 and subtracting it from the first equation:

4T₁ + 2T₂ = 40   (equation 3)

-11T₁ - T₃ = -35   (3 × equation 3 - 5 × equation 1)

Now we have two equations:

T₁ + 7T₃ = 14   (from previous step)

-11T₁ - T₃ = -35   (from this step)

Multiplying the second equation by -7 and adding it to the first equation:

T₁ + 7T₃ = 14   (from previous step)

74T₁ = 231

Therefore, T₁ = 231/74.

Substituting this value back into the equation T₁ + 7T₃ = 14, we get:

(231/74) + 7T₃ = 14

7T₃ = (74/231) × 20

T₃ = 8/33

Finally, substituting T₁ = 231/74 and T₃ = 8/33 into the equation -11T₁ - T₃ = -35, we get:

-11(231/74) - (8/33) = -329/66

Therefore, T₂ = -329/66.

So, the tensions are: T₁ = 231/74 T₂ = -329/66 T₃ = 8/33

Learn more about Gaussian elimination visit:

https://brainly.com/question/14529256

#SPJ4