What is 2x(3+x2) when x = −2?

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

l/100 km   means   liters per 100 Kilometre. How many liters a car need for traveling 100 km.

Km/l  means  liter per km

Answer: B

Step-by-step explanation:

Therefore, the forecasting values for the year 2022 using the decomposition model are:2022 Quarter 1 = 89.02022 Quarter 2 = 93.12022 Quarter 3 = 97.32022 Quarter 4 = 101.4

As a part of the development of a decomposition model, you've been assigned to calculate the forecasts for the next year's values.

The data that is provided to you for the year 2019, 2020, and 2021 has been used to develop the decomposition model. The following linear and seasonal indices have been given to you:

Linear Trend Projection :

ˆy = 35.47 + 4.15XI₁

= 0.937I₂

= 1.182I₃

= 0.9719I₄

= 0.9092

We will calculate the forecasts for the next year using the above-mentioned data and round all the values to one decimal place.

Forecasting Values for the year 2022 using Decomposition Model

To calculate the forecasting values for the year 2022 using the decomposition model, we will first need to calculate the next year's seasonal indices. It can be calculated as follows

:I₁ = (40.4 + 50.2 + 72.2 + 77.6) / 4

= 60.1I₂

= (44.3 + 74.5 + 88.4 + 80.2) / 4

= 71.9I₃

= (47.9 + 60.1 + 80.2 + 77.6) / 4

= 66.45I₄

= (50.2 + 59.4 + 72.2 + 88.4) / 4

= 67.05

So, the next year's seasonal indices will be:

I₁ = 60.1I₂

= 71.9I₃

= 66.45I₄

= 67.05

Now, we can use the linear trend projection formula to calculate the forecasting values for the year 2022.2022

Quarter 1 = 35.47 + 4.15 × 12 = 88.97 or 89.02022

Quarter 2 = 35.47 + 4.15 × 13 = 93.12 or 93.12022

Quarter 3 = 35.47 + 4.15 × 14 = 97.27 or 97.32022

Quarter 4 = 35.47 + 4.15 × 15 = 101.42 or 101.4

The above-calculated values can be rounded up to one decimal place. Hence, the above are the forecasting values for the year 2022 using the Decomposition Model.

To know more about linear visit:

https://brainly.com/question/31510530

#SPJ11

Answer: 0.75

Step-by-step explanation: just had the question on usa tp

Using the Confidence interval,

the pproximate 95% confidence interval for the mean score of all such subjects is (70.11, 82.32).

Confidence interval: A confidence interval is a range of estimated values for an unknown parameter. Confidence intervals are computed at the specified confidence level.

C.I = X-bar +- Z(s/√n)

we have given that,

Sample size (n) = 47

mean of sample scores (X-bar) = 76.2

standard deviations (s) = 21.4

confidence level = 95% = 0.95

Using the z table the value of Z-Score corresponding to 95% confidence level is 1.96..

putting all the values in above formula we get,,

Confidence interval for the mean score of all such subjects is

C.I = ( X-bar + z(s/√n) , X-bar - Z(s/√n))

=> C.I = ( 76.2 - 1.96(21.4/√47) , 76.2 + 1.96(21.4/√47))

=> C.I = ( 70.11, 82.32)

Hence, the confidence interval for the mean score of all such subjects is

(70.11, 82.32).

To learn more about Confidence interval, refer:

https://brainly.com/question/26658887

#SPJ4

The value of x is 67.98.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

AM = 49.5

MN = 71.5

MB = x

MP = 97.5

Now, Setting up the Proportion

AM : NM :: x : PM

49.5 : 71.5 :: x : 97.5

49.5 / 71.5 = x / 97.5  

49.5 ( 97.50 = 71.5 (x )  

4860.375 = 71.5x    

4860.375 / 71.5 = x      

x = 67.98

Learn more about Proportion here:

https://brainly.com/question/10597462

#SPJ9

If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

To know more about graph visit:

brainly.com/question/17267403

#SPJ11

Answer: Ronald has a daily ritual that includes the following activities : exercising on the treadmill for an hour, reading the morning papers, and getting coffee from a café on his way to work.

Step-by-step explanation:

A colon is used to introduce a list of items in a sentence.

Answer:

4 and 1 / 3 cm

Step-by-step explanation:

Consider the following;

\(A = 1 / 2 * Base * Height,\\26 cm^2 = 1 / 2 * ( 12 cm ) * Height\)

Let us say that Height = x. If that is so, through algebra, let us solve for x;

\(26 cm^2 = 1 / 2 * ( 12 cm ) * x,\\26 cm^2 = 6 cm * x,\\26 cm^2 / 6 cm = x,\\\\x = 26 cm^2 / 6 cm,\\x = 4 and 1 / 3\\\\Conclusion, Height = 4 and 1 / 3 ( cm )\)

Solution ⇒ 4 and 1 / 3 cm

Answer:

since i dont know what are in the drop down menus i will do my best

if you tell me what are in the drop down menus tho i'll fix my answer to go with it

Step-by-step explanation:

first one i assume is the 'constant'

second one is she forgot to put x on the other side and get rid of y's cooefficient

third one is 48 or (0,48)

hope this helps <3

Answer:

2*2*11

Step-by-step explanation:

44 = 4*11

But 4 isn't prime

  = 2*2*11

All of these are  prime

The process capability ratio is approximately 0.67 (option A).

To calculate the process capability ratio, we need to use the following formula:

Process Capability Ratio = (Upper Specification Limit - Lower Specification Limit) / (6 * Process Standard Deviation)

Given the following values:

Upper Specification Limit = Diameter + Tolerance = 6.77 cm + 0.01 cm = 6.78 cm

Lower Specification Limit = Diameter - Tolerance = 6.77 cm - 0.01 cm = 6.76 cm

Process Standard Deviation = 0.005 cm

Plugging these values into the formula, we have:

Process Capability Ratio = (6.78 cm - 6.76 cm) / (6 * 0.005 cm)

Process Capability Ratio = 0.02 cm / 0.03 cm

Process Capability Ratio ≈ 0.67

Therefore, the process capability ratio is approximately 0.67. The correct answer is A) 0.67.

To know more about capability ratio:

https://brainly.com/question/31977663

#SPJ4

By evaluating these series expansions to the desired level of accuracy, we obtain the matrix exponentials exp(Δt), exp(Bt), and exp(Ct).

To compute the matrix exponentials, we need to follow the given hint.

I. To compute I * exp(Δt), we first need to find the matrix exponential of Δt. Let's call it X. So, X = exp(Δt).

II. To compute II * exp(Bt), we first need to find the matrix exponential of B. Let's call it Y. So, Y = exp(B).

III. To compute III† * exp(Ct), we first need to find the matrix exponential of C. Let's call it Z. So, Z = exp(C).

Remember that matrix exponentials are found using the formula: \(exp(Xt) = M^{(-1)} * exp(It) * M\),

where\(X = M^{(-1)} * L * M.\)

Using the given matrices A, B, and C, we can calculate the matrix exponentials accordingly.

To compute the matrix exponentials exp(Δt), exp(Bt), and exp(Ct), we can use the power series expansion method.

First, we calculate the powers of the given matrices Δt, B, and C (Δt², Δt³, B², B³, C², C³, and so on) by performing matrix multiplications.

Then, using the power series expansion formula, we sum the terms I + Δt + (Δt²)/2! + (Δt³)/3! + ... for exp(Δt), I + Bt + (B²)t²/2! + (B³)t³/3! + ... for exp(Bt), and I + Ct + (C²)t²/2! + (C³)t³/3! + ... for exp(Ct).

By evaluating these series expansions to the desired level of accuracy, we obtain the matrix exponentials exp(Δt), exp(Bt), and exp(Ct).

To know more about matrix exponentials visit:

https://brainly.com/question/33188253

#SPJ11

The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To know more about hexagonal prism visit:

https://brainly.com/question/10726499

#SPJ11

the correct answer is (D) 5. the total number of literals (l's) in the truth table output column is 5.

To determine how many literals (l's) are present in the truth table output column for the SOP expression \(\( A \bar{B} C+\bar{A} B C+A B \bar{C} \)\), we need to count the total number of unique variables and their negations in the expression.

The variables present in the expression are A, B, and C. Additionally, we have the negations of B and C.

Therefore, the total number of literals (l's) in the truth table output column is 3 (A, B, C) + 2 (negations of B and C) = 5.

Therefore, the correct answer is (D) 5.

Learn more about truth table here

https://brainly.com/question/32643066

#SPJ4

Complete question is below

for SOP expression  \(\( A \bar{B} C+\bar{A} B C+A B \bar{C} \)\); how many l's are in the truth table output?

(A) 1 (B) 2 (c) 3 (D) 5

Using the P-value method of testing hypotheses with a significance level of 0.05, the sample provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

To test the claim that the mean score of job applicants from the university is greater than 160, we will perform a one-sample t-test using the P-value method. The null hypothesis (H0) assumes that the mean score is equal to 160, while the alternative hypothesis (Ha) assumes that the mean score is greater than 160.

First, we calculate the test statistic, which is the t-value. The formula for the t-value is:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

Plugging in the given values, we have:

t = (183 - 160) / (12 /   √(25))

  = 23 / (12 / 5)

  = 23 * (5 / 12)

  ≈ 9.58

Next, we find the P-value associated with the test statistic. The P-value represents the probability of obtaining a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the alternative hypothesis is one-sided (greater than 160), we calculate the P-value by finding the probability of the t-distribution with 24 degrees of freedom being greater than the calculated t-value.

Consulting statistical tables or using software, we find that the P-value is very small (less than 0.0001).

Since the P-value (less than 0.0001) is less than the significance level (0.05), we reject the null hypothesis. This provides strong evidence to support the claim that the mean score of job applicants from the university is greater than 160.

Learn more about P-value

brainly.com/question/30461126

#SPJ11

Answer:

90

Step-by-step explanation:

multiples of 3 = 1, 3.

to it's given sequence or multiple the multiplication of 30 dice multiplied by it's multiple gives us 90

Answer:

-8/4 or -2

Step-by-step explanation:

First of all notice the graph is negative. Meaning that this will be a negative slope.

Now we can use rise over run, counting up 8 spaces, and to the left 4.

Since the graph is negative make the rise negative. -8/4.

To simplify this fraction divide -8 by 4, and receive an answer of -2.

-Hope this helped

Answer:

(x+3)^2+(y+1)^2=25

Step-by-step explanation:

the distance of the center and the point is the radius of the circle

distance=(4^2+3^2)^(1/2)=5

(x+3)^2+(y+1)^2=25

Answer:

m∠AYB = 85°

m∠C = 50°

Step-by-step explanation:

By is the angle bisector of ∠ABC,

Therefore, m∠1 = m∠2 = 30°

m∠3 = 35°

m∠AYB + m∠YAB + m∠ABY = 180°

m∠AYB = 180° - [(m∠1 + m∠2) + m∠3]

             = 180° - [(30° + 30°) + 35°]

             = 180° - 95°

             = 85°

m∠A + m∠B + m∠C = 180°

2(30°) + 2(35)° + m∠C = 180°

60° + 70° + m∠C = 180°

m∠C = 180° - 130°

m∠C= 50°

Answer:

Step-by-step explanation:

The missing information for the SAS congruence theorem is given as follows:

B. SU = JL.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The congruent angles for this problem are given as follows:

<S and <J.

Hence the proportional side lengths are given as follows:

More can be learned about congruence theorems at brainly.com/question/3168048

#SPJ1

Therefore, Laura will earn $495 if she works 50 hours this week, taking into account the time-and-a-half overtime pay for any hours worked beyond 40.

To calculate Laura's earnings for the week, we need to consider her regular pay rate and the overtime pay for any hours worked beyond 40.

Laura earns $9 per hour, so her regular pay rate is $9.

Let's calculate her earnings for the week:

Regular hours worked: 40 hours

Overtime hours worked: 50 hours - 40 hours = 10 hours

Regular pay for 40 hours = 40 hours * $9/hour = $360

Overtime pay for 10 hours = 10 hours * ($9/hour * 1.5) = $135

Total earnings for the week = Regular pay + Overtime pay = $360 + $135 = $495

To know more about hours,

https://brainly.com/question/21307464

#SPJ11

After subtraction Lorne will get \(\bold{-9x^3+5x^2+6x-10}\).

Given equation:

1.)   \(6x^3-2x+3\)

2.)   \(-3x^3+5x^2+4x-7\)

Subtracting the equation 1 from equation 2, thus,

\(-3x^3+5x^2+4x-7 -(6x^3-2x+3)\)

Now, according to BODMAS we will solve brackets first, therefore, after removing the bracket negative will become positive and vice versa.

\(-3x^3+5x^2+4x-7 -(6x^3-2x+3)\\=-3x^3+5x^2+4x-7 -6x^3+2x-3\)

After rearranging,

\(=-3x^3+5x^2+4x-7 -6x^3+2x-3\\=-3x^3 -6x^3+5x^2+4x+2x-7-3\)

Solving further, we get,

\(=-3x^3 -6x^3+5x^2+4x+2x-7-3\\=-9x^3+5x^2+6x-10\)

Hence, after subtraction Lorne will get \(\bold{-9x^3+5x^2+6x-10}\).

To know more visit:

https://brainly.com/question/24383445

Using the given ratio we will get that:

We know that there are a total of 210 points to be divided.

Gerardo gets 4 fails

Rubén gets 6 fails.

Sara gets 12 fails.

Then we have the ratio 4 : 6 : 12

The total of that is 4 + 6 + 12 = 22 fails.

Then; Gerardo gets (4/22) of the points:

G = (4/22)*210 = 38

Ruben gets (6/22) of the points:

R = (6/22)*210 = 57

Sara gets (12/22) of the points:

S = (12/22)*210 = 115

Learn more about ratios at:

https://brainly.com/question/2328454

#SPJ1

Answer:

x = 8; y = 5

Step-by-step explanation:

x + y = 13

x - y = 3

8 + 5 = 13

8 - 5 = 3

Answer: The two numbers are 8 and 5

8is first and 5 is second

Step-by-step explanation:

x-y=3

x+y=13

8-5=3

8+5=13

Area of the blue region is 61 units²

Therefore,

r = radius

Area of the blue region  = area of semi circle - area of triangle

Therefore,

area of triangle = 1/bh

where

b = base

h = height

Therefore,

area of triangle = 1 / 2 × 12 × 16 = 96 units²

area of semi circle = 3.14 × 10² /  2 = 157 units²

Area of the blue region  = 157 - 96 = 61 unit²

learn more on semi circle here: https://brainly.com/question/24887556

Answer:

e. linear pair postulate

Step-by-step explanation: