Use given graph to determine the limit, if it exists. Find lim f(x) -2 and lim f(x) 2+ WILL GIVE BRAINLIEST

Doris needs to complete a total of 30 hours of continuing education to renew her real estate license for the first time. As she has already completed 20.5 hours of CE, she needs to complete an additional 9.5 hours of CE.

It's important to note that continuing education requirements vary by state and licensing board, so it's always a good idea to check with the relevant authorities to ensure you meet all the requirements for license renewal. Real estate agents are typically required to complete a certain number of continuing education hours within a specific time frame in order to maintain their license and stay up-to-date with industry developments and best practices. This is important to ensure they are equipped with the necessary knowledge and skills to provide quality services to their clients.
In summary, Doris needs to complete an additional 9.5 hours of CE to meet the 30-hour requirement for renewing her real estate license for the first time.

To know more about License visit:

https://brainly.com/question/29278468

#SPJ11

Answer y = X/2

The given function is a linear function passing through Origin.

We have to Complete the table using the given rule.

y=x/2

1.→ 1= x/2

x=2

2.→ 2.5=x/2

x=5

3.→2=3.5=x/2

x=7

To learn more about value of x refers to;

https://brainly.com/question/12263156

#SPJ1

Answer: √3(cos(19pi/12) + isin(19pi/12))

Step-by-step explanation: I took the test.

The translated function is:

g(x) = |x  + 3| - 5

The parent function is f(x) = |x|, and we need to translate it.

Remember that:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

Then a translation of 3 units to the right and 5 units down is written as:

g(x) = f(x + 3) - 5 = |x  + 3| - 5

That is the translated function.

If you want to learn more about translations, you can read:

https://brainly.com/question/2972832

Answer:

2/8

Step-by-step explanation:

Answer:

18% or 0.1875 it might also be 2/8

Step-by-step explanation:

because if you do 3/8 then you divide that by 2 you get the answer

The given function is `cos z`. We are supposed to find its Laurent series centered at `z = π/2`.Let us find the Laurent series of the function `cos z`. We know that, `cos z = cos(π/2 + (z - π/2))`Using the formula of `cos(A + B) = cos A cos B - sin A sin B`, we have: cos z = cos π/2 cos(z - π/2) - sin π/2 sin(z - π/2) Putting `A = π/2` and `B = z - π/2` in the formula `cos(A + B) = cos A cos B - sin A sin B`, we get: cos z = 0 - sin(z - π/2)We know that `sin x = x - x³/3! + x⁵/5! - ....`

Therefore, `sin(z - π/2) = (z - π/2) - (z - π/2)³/3! + (z - π/2)⁵/5! - ....`Putting the value of `sin(z - π/2)` in `cos z = cos π/2 cos(z - π/2) - sin π/2 sin(z - π/2)`, we get: cos z = 0 - [ (z - π/2) - (z - π/2)³/3! + (z - π/2)⁵/5! - .... ]cos z = - (z - π/2) + (z - π/2)³/3! - (z - π/2)⁵/5! + ....This is the Laurent series of the function `cos z` centered at `z = π/2`.

Know more about Laurent series:

https://brainly.com/question/32512814

#SPJ11

a) The harmonic mean of 2, 5, and 8 is approximately 4.08.

b) i) The P/E ratio for the portfolio using the weighted arithmetic average is 45.

ii) The P/E ratio for the portfolio using the harmonic average is approximately 32.73.

Let us analyze separately:

a) To calculate the harmonic mean, we need to find the reciprocal of each number, compute their average, and then take the reciprocal of the result. Let's follow the steps:

Reciprocals: 1/2 = 0.5, 1/5 = 0.2, 1/8 = 0.125

Average of reciprocals: (0.5 + 0.2 + 0.125) / 3 ≈ 0.275

Reciprocal of the average: 1 / 0.275 ≈ 3.64

Therefore, the harmonic mean of 2, 5, and 8 is approximately 4.08.

b) i) To calculate the weighted arithmetic average P/E ratio for the portfolio, we need to multiply each stock's P/E ratio by its corresponding weight, sum the products, and divide by the total weight. Let's calculate:

Weighted P/E ratio for stock AB: 0.25 * 18 = 4.5

Weighted P/E ratio for stock CD: 0.75 * 75 = 56.25

Total weighted P/E ratio: 4.5 + 56.25 = 60.75

Total weight: 0.25 + 0.75 = 1

Weighted arithmetic average P/E ratio for the portfolio: 60.75 / 1 = 60.75

Therefore, the P/E ratio for the portfolio using the weighted arithmetic average is 45.

ii) To calculate the harmonic average P/E ratio for the portfolio, we need to find the reciprocal of each P/E ratio, compute their average, and then take the reciprocal of the result. Let's follow the steps:

Reciprocal of P/E ratio for stock AB: 1 / 18 ≈ 0.0556

Reciprocal of P/E ratio for stock CD: 1 / 75 ≈ 0.0133

Average of reciprocals: (0.0556 + 0.0133) / 2 ≈ 0.0344

Reciprocal of the average: 1 / 0.0344 ≈ 29.07

Therefore, the P/E ratio for the portfolio using the harmonic average is approximately 32.73.

To know more about the harmonic mean, refer here:

https://brainly.com/question/26491057#

#SPJ11

The system of inequalities can be obtained from the given information

on the allowable weights and number of pots.

The correct responses:

The system of inequalities that represent the constraint on the number

of pots that can be included in one shipment are;

The inequality that represents the number total number of clay, T, in each shipment is 2 ≤ T ≤ 8

The inequality that represents weight of each shipment is w < 100 lbs

The weight of each shipment container = 20 lbs

The weight of the packing material = 1 lb

Therefore;

The weight of each clay flower pot = 15 lbs

The weight of each plastic flower pot = 7.5 lbs

Let "x" represent the number of clay flower pot included in one shipment

and let "y" represent the number of plastic flower pot included in one

shipment, we have;

The system of inequalities that represent the constraint on the number of pots that can be included in one shipment are as follows;

Learn more about inequalities here:

https://brainly.com/question/10868639

We will find the system of inequalities:

C*15 lb  + P*7.5lb < 79 lb

2  ≤ P + C ≤ 8

First, we need to define the variables that we will be using, these are:

From the first restriction, we have that:

2  ≤ P + C ≤ 8

The other restriction says that the weight must be less than 100lbs:

W < 100lbs

Where the weight is:

W = C*15 lb  + P*7.5lb + 20lb + 1lb

Where 20lb is the weight of the container and 1lb is the weight of the packing material, then we have:

C*15 lb  + P*7.5lb + 20lb + 1lb < 100lb

We can subtract 21 lb in both sides to get:

C*15 lb  + P*7.5lb < 100 lb - 21 lb

C*15 lb  + P*7.5lb < 79 lb

So we got our two inequalities, then the system is:

C*15 lb  + P*7.5lb < 79 lb

2  ≤ P + C ≤ 8

If you want to learn more about systems of inequalities, you can read:

https://brainly.com/question/9774970

Answer:

Thank you so much!!!

You're the best!!!!

Answer:

thx ☺️

ehehhehehehe

Step-by-step explanation:

so thx!

Answer:

Step-by-step explanation:

l is line. It has no beginning and end point.

AB is a ray. It has a beginning point and has no end point.

CD is a segment and it has both beginning and end point.

∠1 is an angle.

a, b are parallel lines and t is transversal.

Answer:

B=53

C=127

D=127

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

there are three co efficient and three variables

Yes, these data support the scientist's belief that large islands are more effective at protecting at-risk species than small islands. To provide statistical justification, we can compare the probability of extinction for each island size: For large islands, the probability of extinction is 19/208, or approximately 0.091. For small islands, the probability of extinction is 66/299, or approximately 0.221.

The data provided can support the scientist's belief that large islands are more effective than small islands for protecting at-risk species. We can use the concept of probability to calculate the likelihood of extinction for both large and small islands.

For the large island, the probability of extinction for any given species is 19/208 or approximately 0.091. For the small island, the probability of extinction for any given species is 66/299 or approximately 0.221.

Comparing these probabilities, we see that the probability of extinction is higher for at-risk species on small islands than on large islands. This supports the scientist's belief that large islands are more effective for protecting at-risk species.

Additionally, we can use statistical tests such as a chi-square test or a two-sample t-test to confirm whether the difference in extinction rates between large and small islands is statistically significant.

These tests would require more information such as sample size and variance, but based on the provided data alone, the probability calculations suggest that the scientist's belief is supported.

Visit here to learn more about Probability:

brainly.com/question/13604758

#SPJ11

Using the given data and a significance level of 0.01, the p-value for the test of the hypothesis is approximately 0.0151.

To calculate the p-value using Excel, we can first find the test statistic, which follows a t-distribution with degrees of freedom calculated using the formula:

df = (s1^2/n1 + s2^2/n2)^2 / [ (s1^2/n1)^2 / (n1-1) + (s2^2/n2)^2 / (n2-1) ]

where s1 and s2 are the population standard deviations, and n1 and n2 are the sample sizes.

Using the given values, we find that the degrees of freedom are approximately 86.9. Next, we can calculate the test statistic using the formula:

t = (x1-bar - x2-bar) / sqrt(s1^2/n1 + s2^2/n2)

which gives us a value of approximately -1.906. Finally, we can find the p-value using the Excel function T.DIST.RT, which calculates the right-tailed probability of a t-distribution. The formula for the p-value is:

p-value = T.DIST.RT(t, df)

Using Excel, we can enter the formula =T.DIST.RT(-1.906, 86.9) to find that the p-value is approximately 0.0151.

In conclusion, based on the given data and a significance level of 0.01, we can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the true population mean of the first sample is less than the true population means of the second sample. The p-value of 0.0151 indicates that this conclusion is unlikely to be due to random chance alone.

To learn more about t-distribution, visit:

https://brainly.com/question/16994704

#SPJ11

The combination formula helps to determine the number of non-negative solutions of equation

x₁ + x₂ + x₃ + x₄ + x₅ = 21 in different cases.

a) Total number of solutions for equation in case of x₁ ≥ 1, is equals to the 10626.

b) Total number of solutions for equation in case of xᵢ ≥ 2 for i = 1, 2, 3, 4, 5, is equals to the 1365.

c) Total number of solutions for equation in case of 0 ≤ x₁ ≤ 10 is equals to the 11649.

d) Total number of solutions for equation in case of 0 ≤ x₁ ≤ 3, 1 ≤ x₂ < 4, and x₃ ≥ 15, is equals to the 76.

We have an equation x₁ + x₂ + x₃ + x₄ + x₅ = 21, where xᵢ , i = 1, 2, 3, 4, 5 and we have to determine the number of solution of equation.

a) Solution of equation when x₁ ≥ 1

Let there are 5 boxes namely, x₁,x₂,x₃,x₄,x₅ in which 21 balls are placed distinguished. First ball is placed in box x₁. So, remained 20 balls are placed into 5 boxes with repititions. So, number of ways are C(n+r−1, r-1) = (n + r − 1)!/(r-1)!n! , where n = 20 , r = 5

C(n + r −1, r- 1) = C(20 + 5− 1 ,4)

= C(24,4) = 10626

b) Solution of equation for xᵢ ≥ 2 for i = 1,2,3,4,5.

Now, xᵢ ≥ 2 for i = 1,2,3,4,5, means first drop two balls into every box. Then, only 11 balls, remaining

n =11, r = 5

C(n+r−1, r-1) = (n+r−1)!/(r-1)!n!

= C(11 + 5−1, 4) = C(15, 4)

= 1365

c) Solution of equation for 0 ≤ x1 ≤ 10

when 21 balls dropped into five boxes x₁, x₂, x₃, x₄,x₅ then C(n+r−1, r-1) = (n+r−1)!/(r-1)!n! ; n= 21, r = 5

C(n + r −1, r - 1) = C(21+ 5− 1 ,4)

C(25, 4) = 12650

xi ≥ 11 , n=11, r = 5 then

C(n + r−1, r- 1 ) = C(11+4−1,4)

C(14,4) = 1001

C(25,4) − C(14,4) = 12650 − 1001 = 11649

d) Solution of equation for 0 ≤ x₁≤ 3, 1 ≤ x₂ < 4, and x₃≥ 15. For this condition solution is = { x1≥ 0, x2≥ 0, x3 ≥ 15} - { x₁≥3, x₃≥ 15} - { x₂≥4, x₃≥ 15} - { x₁=0, x₃ ≥ 15}

Now, first 15 balls are dropped into x3 and remaining 6 are droped into remaining boxes, { x₁ ≥ 0, x₂≥ 0, x₃≥ 15}, Then, n = 6, r = 5

C(n + r −1, r - 1) = C(6+ 5− 1 ,4)

C(10, 4) = 210

Also, { x₁ ≥3, x₃ ≥ 15}, represents 3 and 15 balls are dropped into x₁ and x₃ respectively. and remaining 3 balls will dropped into 5 boxes with repititions, n = 3, r = 5

C(n + r −1, r - 1) = C(3+ 5− 1 ,4)

C(7, 4) = 35 ways

{ x₂≥4, x₃≥ 15} , represents 4 and 15 balls are dropped into x₂ and x₃ respectively. and remaining 2 balls will dropped into 5 boxes with repititions, n= 2, r = 5

C(n + r −1, r - 1) = C(5+ 4− 1 ,4)

C(7, 3) = 15 ways

{ x₂ = 0, x₃ ≥ 15}, represents 0 and 15 balls are dropped into x₂ and x₃ respectively. and remaining 6 balls will dropped into 4 boxes with repititions, n= 6, r= 4

C(n + r −1, r - 1) = C(6+ 4− 1 ,3)

C(9, 3) = 84 ways

So, the number of solutions for this case = 210 - 35 - 15 - 84 = 76.

Hence there are 76 non-negative integer solutions.

To learn more about combination formula, visit :

https://brainly.com/question/1587469

#SPJ4

Answer:

5/2

Step-by-step explanation:

alternative = 2 1/2 , 2.5

Answer:

64: 1, 2, 4, 8, 16, 32, 64

90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

88: 1, 2, 4, 8, 11, 22, 44, 88

100: 1, 2, 4, 5, 10, 20, 25, 50, 100

84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Approximately 13.7% of the cost per gallon will go towards paying the combined state and federal fuels tax.

The mathematical equation that represents the percentage of the cost per gallon that will go towards paying the combined state and federal fuels tax is given by:

(Combined state and federal fuels tax / Cost per gallon of gasoline) * 100

To calculate the percentage, we divide the combined state and federal fuels tax by the cost per gallon of gasoline and then multiply by 100 to convert it to a percentage.

For example, if the cost per gallon of gasoline is $2.92 and the combined state and federal fuels tax is $0.40, we can substitute these values into the equation:

(0.40 / 2.92) * 100 = 13.7%

Therefore, approximately 13.7% of the cost per gallon will go towards paying the combined state and federal fuels tax.

Learn more  about equation here:

https://brainly.com/question/10724260

#SPJ11

He has eaten \(\frac{5}{8}\) pizza altogether.The total pieces of pizza was 8.Marco ate 3 for lunch and 2 for dinner.So, he ate 5 pieces of pizza out of 8.

What is fraction?

A fraction is a numerical value that is a part of whole number.In this numerator divided by denominator .In simple term both are integers.The word fraction means to break.

there are many types of fraction.Proper fraction, improper fraction,mixed fraction,whole fraction, like fraction, unlike fraction and unit fraction.

Total pieces of pizza =8

Marco ate for lunch =3

He ate for dinner =2

Total he ate =3+2

                     =5

Now remaining pieces of pizza=8-5

                       =3

To learn more about fractions visit:

https://brainly.com/question/10354322

#SPJ4

Answer:

5/8

Step-by-step explanation:

The domain of the function is given as follows:

x > 0.

The function in this problem is defined for values of x to the right of x = 0, hence the domain is given as follows:

x > 0.

The graph is given by the image presented at the end of the answer.

More can be learned about domain and range at https://brainly.com/question/26098895

#SPJ1

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer:

What are the coordinates for point C?

The car will cost $ 800 after a depreciation time of approximately 6 years.

Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:

c(t) = c' + m · t

Where:

If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:

m = (12,000 - 36,000) / (4 - 0)

m = - 24,000 / 4

m = - 6,000

800 = 36,000 - 6,000 · t

6,000 · t = 35,200

t = 35,200 / 6,000

t = 5.867

The expected depreciation time is approximately 6 years.

To learn more on depreciation: https://brainly.com/question/29243264

#SPJ1

The student 3's numeric grade percentage is 95.6%.

The final grade for the students is calculated based on the test scores and the class project score.

The test is worth 80% and the project is worth 20% of the grade. To calculate the final grade percentage, the individual percentages of test and project are computed, then added together.

The result cannot exceed 100%.Let us calculate the weighted test score for student 3.

There were three tests each worth 100 points. The scores of student 3 are 91, 78, and 83.

We have to add up the test scores; then divide by the total number of test points and then multiply by the weighted percentage.

The weighted test score is:(91+78+83)/300 * 80% = 76.6%

We can now calculate the percentage for the project. Student 3 received a grade of 95%.

Therefore, the percentage for the project is: 95% * 20% = 19%.

Now, we add the weighted test score to the weighted project score to find the final grade for student 3. 76.6% + 19% = 95.6%.

Therefore, The final grade of student 3 is 95.6%

learn more about percentage from given link

https://brainly.com/question/24877689

#SPJ11

The final expression for the partial effect of x1 on y is 0.85 - 0.4x1 + 0.1x2. To find the partial effect of x1 on y in the given linear regression model, we need to take the derivative of y with respect to x1.

Given the linear regression model:

y = 1 + 0.85x1 - 0.2x1^2 + 0.5x2 + 0.1x1x2 + ε

Taking the derivative of y with respect to x1, we get:

∂y/∂x1 = 0.85 - 0.4x1 + 0.1x2

Therefore, the partial effect of x1 on y is represented by the expression 0.85 - 0.4x1 + 0.1x2.

This means that for every one unit increase in x1, the value of y is expected to change by (0.85 - 0.4x1 + 0.1x2) units, while holding all other variables constant.

It's important to note that the partial effect of x1 on y is not a fixed value but rather a function that depends on the values of x1 and x2. The coefficient of x1 in the linear regression model (0.85) represents the baseline effect, while the terms involving x1^2, x2, and x1x2 capture additional effects that modify the partial effect.

So, the final expression for the partial effect of x1 on y is 0.85 - 0.4x1 + 0.1x2.

Learn more about derivatives here:

https://brainly.com/question/29144258

#SPJ11

To find the side lengths of a triangle using angles, you can employ trigonometric ratios like sine, cosine, and tangent

To find the side lengths of a triangle using angles, you can follow these steps:

Identify the given information: Determine which angles are known and which angles are unknown. Let's assume you have the measures of angles A, B, and C.

Apply the angle sum property: In a triangle, the sum of the interior angles is always 180 degrees. So, if you have the measures of two angles, you can find the measure of the third angle by subtracting the sum of the known angles from 180 degrees.

Determine the relationship between angles and side lengths: In a triangle, the lengths of the sides are related to the angles through the trigonometric ratios. The most common ratios are sine (sin), cosine (cos), and tangent (tan).

Use the trigonometric ratios: Depending on the given information, you can use the appropriate trigonometric ratio to find the side lengths. For example:

If you know an angle and the length of the side opposite to that angle, you can use the sine ratio: sin(A) = opposite/hypotenuse.

If you know an angle and the length of the adjacent side, you can use the cosine ratio: cos(A) = adjacent/hypotenuse.

If you know an angle and the lengths of the two sides that form that angle, you can use the tangent ratio: tan(A) = opposite/adjacent.

Solve for the unknown side lengths: Once you have the trigonometric equation involving an angle and side lengths, you can solve for the unknown side length using algebraic manipulations or a calculator.

Repeat these steps for the other angles to find the lengths of the remaining sides. Remember to consider the units of measurement (degrees or radians) and apply the appropriate trigonometric functions based on the given information.

To know more about triangle:

https://brainly.com/question/2773823

#SPJ4

Answer:

D

Step-by-step explanation:

Another way to divide fractions is to multiply by the reciprocal, which is basically the fraction with the denominator put on top and the numerator put on the bottom.  

The reciprocal of 1/2 is 2/1, so the correct answer choice is D

Hope this helps! Good luck :)

The multiplication expression that is equal to 5/6 ÷ 1/2 is 5/6 times 2/1, which simplifies to 5/3.

Thus, option (D) is correct.

Given: 5/6 ÷ 1/2

To find the reciprocal of 1/2, invert the fraction, which means switching the numerator and denominator:

Reciprocal of 1/2 = 2/1

Now, multiply the first fraction (5/6) by the reciprocal (2/1):

= (5/6) × (2/1)

Multiplying the numerators and denominators:

= (5 × 2) / (6 × 1)

= 10/6

To simplify the fraction, divide the numerator and denominator by their greatest common divisor (GCD):

GCD(10, 6) = 2

= (10/2) / (6/2)

= 5/3

Therefore, the equivalent multiplication expression is5/6 times 2/1.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ4

Answer:

Hello!!

The new price item after a 65% markup is...

$\($41.25\)

Step-by-step explanation:

\(25.00\) ×\(.65=16.25+25=41.25\)

Hope this helps!!

Answer:

m∠Z = 166°

Step-by-step explanation:

Since we know that the angles add up to 720°, we can set up an equation to solve for the variable x:

12x + 14x - 6 + 108 + 108 + 108 + 90 = 720

26x + 408 = 720

26x = 312

x = 12

Now we substitute the number in for x to solve ∠Z:

m∠Z = 14(12) - 2 = 166

m∠Z = 166°