PLEASE HELP THIS IS MATH 171 the topic is partial fraction decomposition

Answer:

Step-by-step explanation:

First, distribute the 2 to the 3z and -6 within the parenthesis.

You know have 6z -12/5 + 6 = 10

Subtract 6 from both sides of the equation

6z -12/5 = 4

Multiply 5 on both sides of the equation

6z -12 = 20

Add 12 to both sides of the equation

6z = 32

Divide by 6 on both sides of the equation

z = 32/6

Simplify

z = 16/3

I hope that this helps! :)

Answer:

0.666667*​x+​4-​3/​5-​2

HOPE I HELP!!!! :)

The solution to the system of inequalities is option C: (1, 1). The system of inequalities typically consists of multiple equations with inequality signs. However, the given options are not in the form of inequalities.

In the given system of inequalities, option d) satisfies all the given conditions. Let's analyze the system of inequalities and understand why option d) is the solution.

The inequalities are not explicitly mentioned, so we'll assume a general form. Let's consider two inequalities:

x > 0

y > x + 2

In option d), we have x = 2 and y = 4.

For the first inequality, x = 2 satisfies the condition x > 0 since 2 is greater than 0.

For the second inequality, y = 4 satisfies the condition y > x + 2. When we substitute x = 2 into the inequality, we get 4 > 2 + 2, which is true.

Therefore, option d) 2,4 satisfies both inequalities and is the solution to the given system.

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Answer:

Step-by-step explanation:

A

Answer:

1.) 1/2x = 32

2.) 3x = 18

3.) x/7 = 4

4.) 5m=105

divide both sides by 5

m= 21

5.) -2c=-32

divide both sides by -2

c=16

6.) x/4=-44

multiply both sides by 4

x=-176

7.) s/-3 = -21

multiply both sides by -3

s=63

By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

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Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

Answer: either 14

Step-by-step explanation:

Answer:

try 1239128981441231241

Step-by-step explanation:

myra

Length of the loan in months is 12 months by using formula for simple interest rate.

To find the length of the loan in months, we can use the formula for simple interest rate:

Simple Interest = Principal × Interest Rate × Time

In this case, the principal is $500, the annual interest rate is 13%, and the total amount repaid is $565. We first need to find the simple interest earned during the loan period:

Simple Interest = $565 (repaid) - $500 (principal) = $65

Now, we can rearrange the formula to find the time (in years) by dividing the simple interest by the principal and interest rate:

Time (in years) = Simple Interest / (Principal × Interest Rate)

Time (in years) = $65 / ($500 × 0.13) = 1

Since we want the length of the loan in months, we need to multiply the time in years by the number of months in a year:

Length of the loan (in months) = Time (in years) × 12 months/year

Length of the loan (in months) = 1 × 12 = 12 months

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Answer:His error lies in  the subtraction of 12 from 8 , he wrote 4 instead of -4 , as 8-12 gives -4 instead of 4.

Step-by-step explanation:

Step 1

Rewriting this to a mathematical expression 2 cubed (3 minus 1) + 4 (8 minus 12) and solving correctly gives

2³(3-1)+ 4(8-12)

=8(2) + 4(-4)

= 16 +(-16)

16-16=0

Step 2-----Jacki's evaluation

2³(3-1)+ 4(8-12)

 = 2³(2) +4(4)

= 8(2) +16= 16+ 16 =32

His error lies in  the subtraction of 12 from 8 , he wrote 4 instead of -4 , as 8-12 gives -4 instead of 4.

Answer:

C

Step-by-step explanation:

I took the test ;)

Answer:

Mean: 5

Median: 4.5

Mode: 5

Mean Absolute Deviation: 0.5

Step-by-step explanation:

MEAN:

The mean is the total of the numbers divided by the amount of numbers.

Add them all together: 5 + 4 + 6 + 5 + 4 + 6 + 5 + 5 = 40

Find how many numbers there are: 8

Divide the total of the numbers by the amount of numbers: 40 / 8 = 5

The mean of this data is 5

MEDIAN:

Find the number in the middle. In this case there is no number in the middle (the amount of numbers is even). So we find the average of the two middle numbers: (5 + 4) / 2 = 4.5

The median of this data is 4.5

MODE:

The mode is the number that occurs the most. In this case it is 5.

The mode of this data is 5

MEAN ABSOLUTE DEVIATION:

We know that the mean of this data is 5 so we will skip finding the mean.

Now we need to find the absolute difference of the numbers and the mean.

| 5 - 5 | = 0

| 4 - 5 | = 1

| 6 - 5 | = 1

| 5 - 5 | = 0

| 4 - 5 | = 1

| 6 - 5 | = 1

| 5 - 5 | = 0

| 5 - 5 | = 0

Then we add all of these together: 0 + 1 + 1 + 0 + 1 + 1 + 0 + 0 = 4

After that we divide the total by the amount of numbers 4 / 8 = 0.5

The mean absolute deviation of this data is 0.5

The expected value of a gamble can be calculated by multiplying the probability of winning by the amount you could win and subtracting the probability of losing multiplied by the amount you could lose.

In this case, we are given that if a red card is drawn from a standard 52-card deck, you win $1200, and if a black card is drawn, you lose $1200.

First, let's determine the probability of drawing a red card from a standard 52-card deck. In a standard deck, there are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 spades and 13 clubs). So the probability of drawing a red card is 26/52, which simplifies to 1/2 or 0.5.

Next, let's calculate the probability of losing, which is the probability of drawing a black card. Similarly, the probability of drawing a black card is also 26/52 or 1/2.

Now, we can calculate the expected value using the formula:
Expected value = (probability of winning * amount won) - (probability of losing * amount lost)

Expected value = (0.5 * $1200) - (0.5 * $1200)
Expected value = $600 - $600
Expected value = $0

Therefore, the expected value of the gamble is $0. This means that, on average, you neither win nor lose money in the long run by playing this gamble.

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Answer:

- 7x^2 + 3xy - 9y

Step-by-step explanation:

(2xy- 4x^2) - (9y + 3x^2 - xy)

Add the second polynomial:

Change all the signs in the second polynomial because it has a negative sign before the parentheses.

= 2xy - 4x^2 - 9y - 3x^2 + xy

Combine like terms:

(-4x^2 - 3x^2) + (2xy + xy) - 9y

= -7x^2 + 3xy - 9y

The negative values to get a positive number:100101.1101 + 64 = 1100101.1101 and −100101.1101 + 64 = −100010.1101

Thus, the biased representation of 37.8125 and −37.8125 in binary with k = 7 and m = 4 is as follows:37.8125 = 1100101.1101 and −37.8125 = 100010.1101

In a biased representation, a fixed bias amount is added to the value of the number being represented to ensure that it is always positive.

By making the most significant digit always 1, the representation can handle signed numbers.

The biasing scheme used in this problem is 64.

Using the biased representation of k = 7 and m = 4, represent the decimal numbers (37.8125)10 and (−37.8125)10 in binary.

We first write the decimal values in binary:37.8125 = 100101.1101 and −37.8125 = −100101.1101

Next, we will add the bias value of 64 to both the positive and negative values to get a positive number:100101.1101 + 64 = 1100101.1101 and −100101.1101 + 64 = −100010.1101

Thus, the biased representation of 37.8125 and −37.8125 in binary with k = 7 and m = 4 is as follows:37.8125 = 1100101.1101 and −37.8125 = 100010.1101

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The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

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

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

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Answer:

The percentage of the executives will be 25%

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

so sorry if im too late...

The given scenario of monthly data on the number of flu cases seen in a hospital emergency department that shows consistent increases during certain months and decreases during others is an example of seasonality.

Seasonality refers to the predictable pattern of fluctuations in a time series data that occurs at regular intervals over a period of time. In this case, the seasonal pattern is related to the occurrence of the flu virus, which typically peaks during the winter months and decreases in the summer months.

Exponential smoothing is a statistical method used to forecast time series data, which involves assigning weights to past observations that decline exponentially over time. Holt's method is an extension of exponential smoothing that includes a trend component in addition to the level and seasonality components.

However, neither exponential smoothing nor Holt's method directly address seasonality in time series data. Therefore, the correct answer to the given question is "seasonality".

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Sample of test statistic is 2.080 and p-value is 0.082.

From the given information,

α = 0.01;

H₀ : μ = 0

H₁ : μ ≠ 0.

Student's t,

d.f. = 6

d = 0.371

t = 2.08

0.050 < p-value < 0.100

on t graph, shade area to the left of -2.08 and to the right of 2.08.

From TI-84, p-value = 0.0823.

P-value interval > 0.01 for α; fail to reject H₀.

At the 5% level of significance, the sample data do not support the claim that the average HC for this patient is higher than 14.

The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.

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Answer:

7xy(2x-3y+4xy)

Step-by-step explanation:

14÷7=2

21÷7=3

28÷7=4

they all have 7, x and y so that would be on the outside

The missing coordinate of point P is sqrt(5/9). The complete coordinates of P in quadrant II are (-2/3, sqrt(5/9)).

To find the missing coordinate of p, we need to use the fact that p lies on the unit circle in the given quadrant. The coordinates of a point on the unit circle are (cosθ, sinθ), where θ is the angle that the point makes with the positive x-axis.
In this case, we know that p lies in quadrant ii, which means that its x-coordinate is negative and its y-coordinate is positive. We also know that the length of the vector OP, where O is the origin and P is the point on the unit circle, is 1.
Using the Pythagorean theorem, we can write:
(OP)^2 = x^2 + y^2 = 1
Substituting the given coordinates of p, we get:
(-2)^2 + 3^2 = 1
4 + 9 = 1
This is clearly not true, so there must be an error in the given coordinates of p.
Therefore, we cannot find the missing coordinate of p using the given information.
Thus, the missing coordinate of point P is sqrt(5/9). The complete coordinates of P in quadrant II are (-2/3, sqrt(5/9)).

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The time t at which the population is 500 is 45 hours.

The equation gives the rate of change of the population at time t:

dP/dt = kP

where P is the population at time t and k is the constant of proportionality.

We can use this equation to find the value of k by substituting the known values of P and t at time t=24 hours:

dP/dt = kP

1000 = k*300

k = 1000/300

k = 10/3

Now that we know the value of k, we can use the equation to find the time t at which the population is 500:

dP/dt = kP

500 = (10/3)P

P = 500*3/10

P = 150

Since the population at time t=0 hours is 300, the population has decreased by 150 over the 24 hours, so t = -150/(-10/3) = 45 hours.

Therefore, the time t at which the population is 500 is 45 hours.

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dP/dt = kP

We can use this equation to find the value of k by substituting the known values of P and t at time t=24 hours:

dP/dt = kP

1000 = k*300

k = 1000/300

k = 10/3

dP/dt = kP

500 = (10/3)P

P = 500*3/10

P = 150

Since the population at time t=0 hours is 300, the population has decreased by 150 over the 24 hours, so t = -150/(-10/3) = 45 hours.

Therefore, the time t at which the population is 500 is 45 hours.

The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.

To calculate the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow, we can use the binomial probability formula. The binomial probability formula is given by:

P(X ≥ k) = 1 - P(X < k) = 1 - ∑(i=k-1)^(n) [C(n, i) * p^i * (1-p)^(n-i)]

Where:

P(X ≥ k) is the probability that X is greater than or equal to k

P(X < k) is the probability that X is less than k

n is the number of trials (number of babies in the cluster) = 5

p is the probability of success (probability that a baby speaks) = 1/4

k is the number of successes we are interested in (at least 2 babies speaking)

Let's calculate the probability using this formula:

P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)]

P(X = 0) = C(5, 0) * (1/4)^0 * (3/4)^(5-0) = 1 * 1 * (3/4)^5 = 243/1024

P(X = 1) = C(5, 1) * (1/4)^1 * (3/4)^(5-1) = 5 * (1/4) * (3/4)^4 = 405/1024

P(X ≥ 2) = 1 - (243/1024 + 405/1024) = 376/1024 = 47/128

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The speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

Let x be the speed of the current in km/h units

Speed of the boat traveling against the current= (15-x) km/h

Time spent traveling 36 miles against the current=36/15-x hours

Time spent rafting36miles (with the current) =35/x hours

Equation=36/x-36/15-x=9

Multiply both sides by x×(15-x)

36×(15-x) - 36x = 9x×(15-x)

540 - 36x - 36x=135x-9x²

9x²-207x+540=0

x²-23x+60=0

(x-3)×(x-30) = 0

Roots are x= 3 and  x= 30

Since 15-x must be positive, the only root x = 3 survives

Hence:

Speed =3 km/h

Inconclusion the speed of the river current if the speed of the motorboat in still water is 15 km/h is 3 km/h.

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Answer:

A. You would trace an argument by seeing if the reasons and evidence are relevant in their support of the claim.

Step-by-step explanation:

The tracing of an argument should be seen when the reasons & evidence should be relevant for supporting the claim.

The following information should not be considered:

Therefore we can conclude that the first option is correct.

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The bat weighs 10kg.

Two equations can be gotten from the question:

5a + 4b = 58 equation 1

4a + 5b = 50 equation 2

Where:

a = weight of bats

b = weight of balls

The two equations are simultaneous equations and would be solved using the elimination method.

In order to determine the weight of balls, take the following steps:

Multiply equation 1 by 4 and equation 2 by 5

20a + 16b = 232 equation 3

20a + 25b = 250 equation 4

Subtract equation 3 from 4

18 = 9b

Divide both sides of the equation by 9

b = 2kg

In order to determine the weight of bats, take the following steps:

Replace for b in equation 1

5a + 4(2) = 58

5a + 8 = 58

5a = 58 - 8

5a = 50

Divide both sides of the equation by 5

a = 10kg

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Answer:

turn pls

Step-by-step explanation:

Answer:

good to know:)

Step-by-step explanation:

There are 8! (factorial) ways for the eight students to stand next to each other. However, since no two professors can stand next to each other, we need to alternate professors and students. We can start with a professor, then a student, then a professor, and so on.

There are 5! ways to arrange the five professors among the eight spaces where a professor can stand. Once the professors are arranged, there are 8 - 5 = 3 spaces left for students to stand. There are 8P3 (permutations) ways to arrange the three students among the three spaces.

Therefore, the total number of ways for eight students and five professors to stand next to each other such that no two professors are standing next to each other is 5! * 8P3 = 5,760 ways.

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