Suppose we did a regression analysis that resulted in the following regression model: yhat = 10.4+1.8x. Further suppose that the actual value of y when x=14 is 25. What would the value of the residual be at that point?

Answers

Answer 1

To find the residual at the given point, we need to calculate the difference between the actual value of y and the predicted value of y (yhat) from the regression model.

Given:

Regression model: yhat = 10.4 + 1.8x

Actual value: y = 25

x = 14

Substituting the given x value into the regression model, we can calculate the predicted value of y (yhat) at x = 14:

yhat = 10.4 + 1.8(14)

    = 10.4 + 25.2

    = 35.6

The predicted value of y (yhat) at x = 14 is 35.6.

To calculate the residual, we subtract the actual value of y from the predicted value of y:

Residual = y - yhat

        = 25 - 35.6

        = -10.6

Therefore, the value of the residual at x = 14 is -10.6.

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Related Questions

Please answer its fill in the blanks

the words are at the bottom

Please answer its fill in the blanksthe words are at the bottom

Answers

1 is f 2 is c 3 is a 4 is h and 5 is b

Answer:

1. Grassland

2. grass

3. Temperate grassland

4. prairies

5. steppe

6. tropical grassland

7. savanna

8. intermountain grassland

9. mixed prairie

10. tallgrass prairie

Step-by-step explanation:

What can be received at 45 F 7 C?.

Answers

The item that can be received at 45°F (7° C) is Milk , the correct option is (b) .

In the question ,

the receiving temperature of the items is given ,

we have to identify the item that can be received at  45°F (7° C) .

From the given options ,

we see that cold feed is received at 41°F (5° C) ,

Milk at 45°F (7° C) and Hot Food at 135°F (57° C) .

So , we can conclude that the option (b) Milk can be received at  45°F (7° C) .

Therefore , The item that can be received at 45°F (7° C) is Milk , the correct option is (b) .

The given question is incomplete , the complete question is

Temperature criteria for receiving items is given as follows ;

(a) Cold Food is received at 41°F (5° C) or lower ,

(b) Milk is received at  45°F (7° C) or lower ,

(c) Hot Food is received at 135°F (57° C) or lower .

Find the item that can be received at  45°F (7° C) ?

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What is the equivalent fraction for the following fraction using 5 as the multiplier?

Will give brainlest!!!
3/8

Answers

Answer:

Step-by-step explanation:

The answer is 15/40

Because 3 times 5 is 15 and 8 times 5 is 40

Answer:

15/40

Step-by-step explanation:

the equivalent fraction for 3/8 using 5 as a multiplier is :

3 x 5 / 8 x 5

= 15 / 40

Emma jogs 2 miles along the beach in 1/3
of an hour. If she travels at a constant rate, how far will she jog in an hour?

1. Use the known information to write a rate.

Emma’s rate:
2 miles 1/3 hours

2. Write an equivalent rate with a denominator of 1.

2(3) miles / 1/3 (3) hours = ? /1 hour

Answers

Answer:

Step-by-step explanation:

6 miles

2 times 3 = 6

or

2 x 3/3 = 6

WILL GIVE BRAINLIEST AND 15 POINTS

WILL GIVE BRAINLIEST AND 15 POINTS

Answers

history politics questions and civics and Geography

a store has 9 blue hats and 7 red hats for sale write the ratio of blue hats to all the hats

Answers

Answer:

9 :  7, or 9/16 to 7/16

Step-by-step explanation:

We know that there are 9 blue hats.

We know there are 7 red hats.

This is a 9 : 7 ratio.

In fraction form, we must find the total ratio, use that as the denominator, then take the seperate amounts, such as bluei adn red hats, and use that as the numerator:

9+7=denominator

denominator = 16

Blue hats = 9

Ratio of red = 9/16

Red hats = 7

Ratio of red = 7/16

Hope this helps!

1. A ride in a cab costs $0.60 plus $0.14 per mile.

a. Write an equation for traveling x miles in the cab.

b. The cab charges $0.88 for a ride of how many miles?

c. How much does the cab charge for a trip of 8 miles?​

Answers

The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x. The cab charges $0.88 for a ride of 2 miles. And the cab charges $1.72 for a trip of 8 miles.

a. The equation for traveling x miles in the cab can be written as:

Cost = $0.60 + $0.14 * x

b. To find the number of miles for a cab ride that costs $0.88, we can set up the equation:

$0.88 = $0.60 + $0.14 * x

Subtracting $0.60 from both sides, we get:

$0.88 - $0.60 = $0.14 * x

$0.28 = $0.14 * x

Dividing both sides by $0.14, we find:

x = $0.28 / $0.14

x = 2 miles

Therefore, the cab charges $0.88 for a ride of 2 miles.

c. To calculate the cost of a trip of 8 miles, we can substitute x = 8 into the equation:

Cost = $0.60 + $0.14 * 8

Cost = $0.60 + $1.12

Cost = $1.72

Therefore, the cab charges $1.72 for a trip of 8 miles.

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The mean of six numbers is 10. When
mother number is added the new mean is
9. Find the number added.​

Answers

Answer:

3

Step-by-step explanation:

If 6 numbers have a mean value of 10, it means that the sum of the numbers divided 6 is equal to 10. This can be expressed as:

x÷6=10

x=60

The new number added will be the 7th number and now the mean is 9. You have to ask what number divided by 7 is equal to 9? This can be expressed as:

y÷7=9

y=63

63-60=3

So the new number added is 3

Answer:

3

Step-by-step explanation:

Mean is calculated as

mean = \(\frac{sum}{count}\)

Given the mean of 6 numbers is 10, then

\(\frac{sum}{6}\) = 10 ( multiply both sides by 6 )

sum = 60

When another number x is added then count is 7

\(\frac{60+x}{7}\) = 9 ( multiply both sides by 7 )

60 + x = 63 ( subtract 60 from both sides )

x = 3 ← the number added

A recently televised broadcast of a popular television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to the show. A 0.01 significance level is used to test an advertiser’s claim that among the households with TV sets in use, less than 20% were tuned in to the show. Find the P-value.

1.9998

0.9999

0.0001

0.0002

Answers

The p-value of the given hypothesis is; 0.9999

How to find the p-value of the statistics?

The formula for the z-score of proportions is;

z = (p^ - p)/√(p(1 - p)/n)

where;

p^ is sample proportion

p is population proportion

n is sample size

We are given;

p^ = 15% = 0.15

p = 20% = 0.2

n = 5000

Thus;

z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)

z = -8.8388

From p-value from z-score calculator, we have;

P(Z < -8.8388) = 1 - 0.0001 = 0.9999

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The __________ function in Excel is used to compute the statistics required to create a histogram.
a. FREQUENCY
b. RAND
c. NORM.INV
d. STDEV.S

Answers

The function in Excel that is used to compute the statistics required to create a histogram is the FREQUENCY function.

The FREQUENCY function is used to calculate how often values occur within a specified range or bin.

The output of the function is an array of values that represents the frequency distribution of the data, which can then be plotted to create a histogram.

To use the FREQUENCY function, we first need to define the bins or intervals that we want to use for our histogram.

These bins should cover the range of the data and should be of equal width.

Once we have defined our bins, we can use the FREQUENCY function to calculate the frequency of values that fall within each bin.

The syntax of the FREQUENCY function is as follows:

=FREQUENCY(data_array, bins_array)

The data_array argument is the array or range of data that we want to analyze, and the bins_array argument is the array or range of bins that we have defined.

The function returns an array of values that represents the frequency of values that fall within each bin.

Once we have the frequency distribution of our data, we can create a histogram by plotting the frequency values against the bin intervals.

Excel has built-in tools for creating histograms, which can be found under the "Data Analysis" menu.

By defining our bins and using the FREQUENCY function, we can quickly and easily analyze the distribution of our data and visualize it in a histogram.

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you are trying to decide between two cell phone plans. the first plan charges $50 per month and an extra $0.10 per text sent. the second plan charges $80 per month but only charges $0.05 per text sent. how many texts would you need to send per month for the plans to have the same cost? which plan is better for fewer texts? which plan is better for more texts?

Answers

Answer: 600 texts

Step-by-step explanation:

Let the number of texts sent = x

Now, to have the same cost we derive the following equation

50 + (0.10)x = 80 + (0.05)x

(0.10)x - (0.05)x = 80 - 50

(0.05)x = 30

x = 30/0.05

x= 600

From the above equation we can conclude that total 600 texts need to be send per month to have the same cost. For fewer texts, first plan is better while the second plan is better for more texts.

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Rice yield prediction with Simple Linear Regression A simple linear regression is fitted to predict the yield of rice (kg per hectare) by using the annual rainfall (in mm) during the year. The intercept and slope of the regression equation are 473 and 5, respectively. What is the predicted rice yield if the annual rainfall is 582 mm? Choose an answer The predicted rice yield is: 2274 kg. Per hectare 1667 kg. Per hectare 3383 kg. Per hectare 2356 kg. Per hectare

Answers

Answer:

3383 Kg per hectare

Step-by-step explanation:

Given that:

Intercept and slope for a given regression equation is :

Intercept = 473 ; slope = 5

The dependent variable / predicted variable = rice yield (y)

The independent variable / predictor variable = annual Rainfall (x)

The regression model can be written has :

General form of a regression equation / model:

y = mx + c ; m = slope ; c = intercept

y = 5x + 473

predicted rice yield if the annual rainfall is 582 mm

y = 5(582) + 473

y = 2910 + 473

y = 3383 Kg per hectare

consider the differential equation given by[math equation]the goal of this problem is to solve this differential equation numerically, analytically and compare the solutions. find the exact solution (i.e. the analytical solution) use euler's method to solve the differential equation with a step size h=0,001; (this is the numerical solution)

Answers

The number of iterations increases. If there is a significant difference between the two solutions, we may need to investigate the numerical method used or check for errors in our analytical solution.

Step-by-step explanation:

The differential equation is missing in your question. However, I will give a general overview of how to solve a differential equation numerically using Euler's method and how to find an analytical solution.

Numerical Solution using Euler's Method:

Suppose we have a first-order differential equation of the form y' = f(x, y), where y' represents the derivative of y with respect to x. To solve this numerically using Euler's method, we need to start with an initial condition y(x0) = y0, and we want to find the value of y at some other point x1 = x0 + h.

The Euler's method involves approximating the derivative y' by the difference quotient (y1 - y0) / h, where y1 is the value of y at x1. Rearranging this equation, we get:

y1 = y0 + h * f(x0, y0)

Using this equation, we can iteratively compute the value of y at different points by using the previous value of y. For example, to find y2, we can use the equation:

y2 = y1 + h * f(x1, y1)

We continue this process until we reach the desired endpoint.

Analytical Solution:

An analytical solution to a differential equation is an explicit expression for y(x) that satisfies the differential equation for all values of x. To find an analytical solution, we may use techniques such as separation of variables, integrating factors, or other methods specific to the type of differential equation.

For example, if we have a differential equation of the form y' = k * y, where k is a constant, we can use separation of variables to obtain:

dy / y = k * dx

Integrating both sides, we get:

ln|y| = k * x + C

where C is an arbitrary constant of integration. Solving for y, we get:

y = Ce^(kx)

where C = ±e^C is a constant determined by the initial condition.

Comparison of Solutions:

Once we have the numerical and analytical solutions, we can compare them by plotting the graphs of y(x) for each method. If the numerical solution was computed with a small enough step size, it should converge to the analytical solution as the number of iterations increases. If there is a significant difference between the two solutions, we may need to investigate the numerical method used or check for errors in our analytical solution.

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A smart-phone plan charges a fixed fee plus the cost of the data. If a plan with 2GB of data costs $75 and one with 5 GB costs $120, what is the rate charged for the data?

Answers

Answer:

61.2

Step-by-step explanation:

1) 75:2=37.2

2) 120:5=24

3) 37.2+24=61.2

Find the absolute value of - 4 2/11

Answers

Answer:

4 2/11

Step-by-step explanation:

The absolute value is the distance between a number and zero. This means that absolute value cannot be negative because you cannot travel a negative distance. The distance between - 4 2/11 is 4 2/11.

Hope This Helps :)

The absolute value of -4(2/11) is 46/11.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-4(2/11)

= -46/11

Now,

The absolute value.

= |-46/11|

= 46/11

Thus,

The value is 46/11.

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Question 3(Multiple Choice Worth 2 points)
(Evaluating Inequalities MC)
Determine which integer(s) from the set S:(-24, 2, 20, 35) will make the inequality m-5 +3 false.

Answers

From the given set S, the only integer that makes the inequality m - 5 + 3 false is m = -24.

How to determine the integer from the set  will make the inequality false.

To determine which integer(s) from the set S: (-24, 2, 20, 35) will make the inequality m - 5 + 3 false, we need to substitute each integer from the set into the inequality and check if the inequality becomes false.

The inequality is:

m - 5 + 3 < 0

Substituting each integer from the set S into the inequality:

For m = -24:

(-24) - 5 + 3 < 0

-26 + 3 < 0

-23 < 0 (True)

For m = 2:

2 - 5 + 3 < 0

0 < 0 (False)

For m = 20:

20 - 5 + 3 < 0

18 < 0 (False)

For m = 35:

35 - 5 + 3 < 0

33 < 0 (False)

From the given set S, the only integer that makes the inequality m - 5 + 3 false is m = -24.

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place the steps for determining the geometry of a covalently bonded species in the correct order. start with the first step at the top of the list.

Answers

1. Draw the Lewis structure of the species, including all valence electrons.
2. Use the electron pair repulsion theory (VSEPR theory) to determine the electron pair geometry.
3. Identify the molecular geometry based on the arrangement of atoms around the central atom and Label the bond angles between the atoms.

Here are the steps for determining the geometry of a covalently bonded species in the correct order:

1. Determine the central atom: Identify the central atom in the molecule or ion, which is usually the least electronegative element or the one with the highest bonding capacity.

2. Count the number of electron domains: Calculate the total number of electron domains surrounding the central atom. This includes both bonding and non-bonding electron pairs.

3. Identify the electron domain geometry: Based on the number of electron domains, identify the corresponding electron domain geometry using the VSEPR (Valence Shell Electron Pair Repulsion) theory.

4. Determine the molecular geometry: Considering the positions of the bonded atoms only (ignoring non-bonding electron pairs), identify the molecular geometry of the species.

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The digit 4 in which number represents a value of 0.04?
A) 3.545 B) 2.174 C) 0.411

Answers

Answer:

3.545 represents a value of 0.04

3.545 is the answer because the 4 is in the same place as 0.04

Find the interest rate for a 9000 deposit accumulating to 9883, compounded annually for 8 yearsThe interest rate is ____%

Answers

Given:

A 9000 deposit accumulates to 9883, compounded annually for 8 years.

So, P = 9000, A = 9883, t = 8 years, n = 1

We will find the interest rate = r

We will use the following formula:

\(A=P(1+\frac{r}{n})^{nt}\)

Substitute the given values:

\(9883=9000(1+\frac{r}{1})^{1*8}\)

Solve the equation to find (r):

\(\begin{gathered} (1+r)^8=\frac{9883}{9000} \\ \\ 8*ln(1+r)=ln(\frac{9883}{9000})\approx0.09359 \\ \\ ln(1+r)=\frac{0.09359}{8}\approx0.0116989 \\ \\ 1+r=e^^{0.0116989}\approx1.011767 \\ \\ r=1.0117676-1=0.0117676 \\ \\ r=1.17676\% \end{gathered}\)

So, the answer will be:

The interest rate is 1.17676%

What is the value of f

What is the value of f

Answers

What is the value of f

Answer : f=9

a circle centered at the origin has a radius of 12. What is the equation of the circle?
After looking through the sentence comparison examples, what do you think the guidelines are that tell you when to use the different forms of you?" Write down your thoughts about this grammar principle. Specifically, write down a "rule" that you think Spanish uses to explain the difference between tú and usted. Then check out the grammar pattern in the next link to see if your hunch was correct

Answers

The equation of a circle centered at the origin with a radius of 12, which is x² + y² = 144.

To find the equation of the circle, we use the standard form of the equation of a circle, which is:

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the center of the circle, and r is the radius.

In our problem, the center of the circle is at the origin, which means h = 0 and k = 0. The radius is given as 12, so we have r = 12. Substituting these values into the standard form equation, we get:

(x - 0)² + (y - 0)² = 12²

Simplifying, we get:

x² + y² = 144

Therefore, the equation of the circle centered at the origin with a radius of 12 is x² + y² = 144.

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Twice during the assembly, a student is chosen at random to assist with the presentation. after the first student has finished assisting, the student returns to the group and can be chosen a second time. what is the probability that the first student chosen is a senior and the second student chosen is a sophomore?.

Answers

Using it's concept, it is found that the probability that the first student chosen is a senior and the second student chosen is a sophomore is given by:

\(p = \frac{11}{320}\)

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Researching this problem on the internet, we have that there are:

31 juniors, 10 sophomores, 17 juniors, 22 seniors.

Then:

Out of 31 + 10 + 17 + 22 = 80 students, 22 are seniors, hence the probability that the first student is a senior is given by \(p_1 = \frac{22}{80} = \frac{11}{40}\).All students can be chosen again, hence the probability that the second student is a sophomore is given by \(p_2 = \frac{10}{80} = \frac{1}{8}\).

The events are independent, hence the probability of both is given by:

\(p = p_1p_2 = \frac{11}{40} \times \frac{1}{8} = \frac{11}{320}\)

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A sample survey interviews SRSs of 500 female college students and 550 male college students. Each student is asked whether he or she worked for pay last summer. In all, 410 of the women and 484 of the men say "yes".Take Pm and Pf to be the proportions of all college males and females who worked last summer. We conjectured before seeing the data that men are more likely to work. The hypotheses to be test are:a. H₀: Pm - Pf = 0 vs. Hₐ: Pm - Pf ≠ 0b. H₀: Pm - Pf = 0 vs. Hₐ: Pm - Pf > 0c. H₀: Pm - Pf = 0 vs. Hₐ: Pm - Pf < 0d. H₀: Pm - Pf > 0 vs. Hₐ: Pm - Pf = 0e. H₀: Pm - Pf ≠ 0 vs. Hₐ: Pm - Pf = 0

Answers

The correct hypotheses to be tested based on the given information are H₀: Pm - Pf = 0 vs. Hₐ: Pm - Pf < 0 (option c).

These hypotheses reflect the conjecture that men are more likely to work than women. In hypothesis testing, the null hypothesis (H₀) typically represents the assumption of no difference or no effect, while the alternative hypothesis (Hₐ) represents the claim or hypothesis we want to support.

In this case, the null hypothesis states that there is no difference between the proportions of male and female college students who worked last summer (Pm - Pf = 0). The alternative hypothesis states that the proportion of male college students who worked last summer is greater than the proportion of female college students who worked (Pm - Pf < 0).

By testing these hypotheses using appropriate statistical methods, we can determine if the observed data supports the claim that men are more likely to work than women or if there is no significant difference between the two proportions. The correct option is c.

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Simplify the expression-1/2 (-5/6 +1/3)

Simplify the expression-1/2 (-5/6 +1/3)

Answers

Answer:

The first option 5/12 - 1/6

Step-by-step explanation:

5/12 - 1/6

Just open the parenthesis and be careful of the signs.

CAN U HELP ME PLZ!!!! |
\/

CAN U HELP ME PLZ!!!! | \/

Answers

Answer:

7.33

Step-by-step explanation:

Choose h and k such that the system has (a) no solution, (b) a unique solution, and (c) many solutions. Give separate answers for each part.
1) x1+ℎx^2=2,4x1+8x2=k
2) x1+3x2= 2, 3x1+hx2= k

Answers

The chosen values are:

a) h = 2 (no solution), any k

b) h ≠ 2 (unique solution), any k

c) h = 2 (many solutions), k = 16

To determine values of h and k that result in different solution scenarios for the given systems of equations, we can analyze the coefficient matrices and their determinants.

System 1:

x1 + h*x2 = 2

4x1 + 8x2 = k

a) For the system to have no solution, the coefficient matrix's determinant must be zero, while the augmented matrix's determinant is nonzero.

Taking the determinant of the coefficient matrix, we have:

| 1 h |

| 4 8 |

Determinant = (1 * 8) - (4 * h)

                     = 8 - 4h

For the system to have no solution, the determinant 8 - 4h must be zero. So we solve:

8 - 4h = 0

h = 2

Therefore, for no solution, h = 2. We can choose any value for k.

b) For the system to have a unique solution, the coefficient matrix's determinant must be nonzero.

So we need to ensure that 8 - 4h ≠ 0.

Choosing h ≠ 2 will satisfy this condition. We can choose any value for k.

c) For the system to have many solutions, the coefficient matrix's determinant must be zero, and the augmented matrix's determinant must also be zero.

For this case, we can choose h = 2 (as determined in part a), and k such that the augmented determinant is also zero.

For example, we can choose k = 16, which satisfies the equation 4 * 2 - 8 * 16 = 0.

Therefore, the chosen values are:

a) h = 2 (no solution), any k

b) h ≠ 2 (unique solution), any k

c) h = 2 (many solutions), k = 16

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in 2010, $1.00 u.s. bought 8.24 chinese yuan and in 2012 it bought 6.64 chinese yuan. how many u.s. dollars could 1 chinese yuan purchase in 2010 and 2012?

Answers

1 Chinese yuan could purchase $0.12 and $0.15 in the year 2010 and 2012 respectively.

For the year 2010; we can calculate as follows;

1 US dollar = 8.24 Chinese yuan

x US dollar = 1 Chinese Yuan

using cross multiplication to find x;

8.24x = 1 ×1

8.24x = 1

x = 1 / 8.24

x = $0.12

For the year 2012; we can calculate as follows;

1 US dollar = 6.64 Chinese Yuan

x US dollar = 1 Chinese Yuan

Using cross multiplication to find x;

6.64x = 1

x = 1 / 6.64

x = $0.15

Therefore, one Chinese yuan could purchase $0.12 in 2010 and $0.15 in the year 2012.

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Find the value of cos⁻¹ (cos7π/6).

Answers

Answer:

5π/6

Step-by-step explanation:

Given :

cos⁻¹ (cos7π/6)

Solving :

We know that : cos⁻¹ cosθ = θBut we can't just do that in this caseBecause the range of cos values is [0, π]Clearly, our value does not lie in this rangeWe have to take a different Quadrant other than the 3rd Quadrant which gives cos a negative valueThe 2nd Quadrant also has cos values negativeTherefore,cos⁻¹ cos (π - π/6)cos⁻¹ cos (5π/6)⇒ 5π/6 ∈ [0, π] ⇒ It lies in the range!

Answer:

5π Over 6

Step-by-step explanation:

You can write  7π6 as (π+π6)Thus we can clearly see the angle falls in the third quadrant. And the cosine value in third quadrant is always negative. Hence, cos(π+π6)=−cos(π6)coming back to the question cos−1[cos(7π6)]=cos−1[−cos(π6)]=π−cos−1[cos(π6)]=π−π6=5π6

x(4x + 1). Need helpppp

Answers

Answer:

4\(x^{2}\)+x

Step-by-step explanation:

That is the correct answer if you want to multiply x by 4x+1

x(4x+1)

(x · 4x) + (x·1)   By using the distributrive property

(4\(x^{2}\))  + (x)

= 4\(x^{2}\) + x  

I hope this helps :)

Good luck!

2.2. South African friends of the Netherlands couple departed from Pretoria at 04h30am to spend the holiday with them. Their journey is described as follows: On their way from Polokwane they took the turn-off to the R521 route. Rest for 45 minutes at Dendron and took 15 minutes to do someshopping and till up the car's fuel tank at All days. 2.2.1. If the scale of the map is given as 1: 3 000 000 and the distance measured on the map between Beitbridge and Musina is 1,3 cm. calculate (in km) the actual distance between Beitbridge and Musina. ● (3)​

Answers

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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