Jim is building a model airplane the scale is 2 inches to 40 inches the actual week wingspan of the plane is 220 feet how long will the wingspan of the model B

Answers

Answer 1

Answer:

The wingspan of the model will be 11 feet long

Step-by-step explanation:

Here, we want to find the length of the wingspan of the model.

From the question, the scale we have is; 2 inches to 40 inches

So let’s say the ratio of the model length to the actual length is 2:40 = 1:20

Now , we have an actual length but we do not know the model length. Let the model length we are looking for be x;

Thus;

1/20 = x/220

Cross multiply;

20 * x = 220 * 1

20x = 220

x = 220/20

x = 11 feet

Kindly note that since we are working with ratio here, we do not need any unit conversion from feet to inches or vice versa


Related Questions

Identify a product/service that is currently in the decline stage. Use the Product Lifecycle Concept to explain why you believe the product/service is at that stage .
Describe the strategic options for companies that are competing in a declining market. Provide specific examples too illustrate what these strategic options entail and how they differ .

Answers

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Sketch the line 4x+3y=11

Answers

sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Sketch the line 4x+3y=11

sketch the graphs 3x+2y=1

Answers

Answer:

In attachments :)

Step-by-step explanation:

3x+2y=1

can be simplified to

2y = -3x + 1

\(y = \frac{-3x +1}{2}\)

The graph is the attachments

I use the calculator called Desmos

Hope this helps! :)

pls mark brainiest

sketch the graphs 3x+2y=1

The graph of the equation 3x + 2y = 1, is plotted and attached with the answer.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is to sketch the graph of the linear equation -

3x + 2y = 1

The equation of a straight line given is -

3x + 2y = 1

Now, we can rewrite the equation as -

3x + 2y = 1

2y = 1 - 3x

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

We can plot the graph as shown in the image attached.

Therefore, the graph of the equation 3x + 2y = 1, is plotted and attached with the answer.

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sketch the graphs 3x+2y=1

evaluate the function f ( -2) = − 3 ^2

Answers

Answer:

f ( -2) = − 3 ^245fsaf

Step-by-step explanation:

f ( -2) = − 3 ^2wqs

f(-2)= -3^2

f(-2) = -3 × (-3)

f(-2) = 9

Must click thanks and mark brainliest

Ramon has a picture that measures 2 inches in length and 3 inches in width. He wants to enlarge the picture to fit on a picture frame that is 14 inches long. How wide will the picture frame need to be in order to create a similar figure?
A. 21 inches
B.9 1/3 inches
C. 6 inches
D. 84 inches
NO LINKS OR I WILL RPORT YOU ​

Answers

Answer:

The frame would be 21 inches wide

Step-by-step explanation:

set up ratio of 2/3 and 14/x

then solve for x

Answer:9 1/3

Step-by-step explanation:

simplify the vector =6(⟨1,11⟩ ⟨4,10⟩).

Answers

Simplifying a vector

The simplified vector: 6(⟨1,11⟩ ⟨4,10⟩) =30i+624j.

To simplify the vector =6(⟨1,11⟩ ⟨4,10⟩), we need to perform scalar multiplication on both vectors.

Let's find out what these vectors are and how we can simplify them.

What is a vector?

A vector is an object in mathematics that has both magnitude and direction. In other words, a vector is a quantity that has a direction and a magnitude. It is used in different areas such as physics, engineering, and computer science.

A vector is represented by a directed line segment. The starting point is called the initial point, and the ending point is called the terminal point.

Simplifying the given vector=6(⟨1,11⟩ ⟨4,10⟩)To simplify the vector, we need to perform scalar multiplication on both vectors.⟨1,11⟩=1i+11j⟨4,10⟩=4i+10jNow,6(⟨1,11⟩ ⟨4,10⟩)=6(1i+11j 4i+10j)=6(1i+44j+4i+60j)=[6(1i+4i)]+[6(44j+60j)]=[6i+24i]+[6(104j)]=[30i+6(104j)]

Therefore, the simplified vector =30i+624j.

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please help, passed due.

please help, passed due.

Answers

Answer:

x = 12

A = 144

Step-by-step explanation:

Angles A and B are the same so we can set them equal to each other

We can create the following equation

\(10x + 24 = 6x + 72\)

Reduce

4x = 48

x = 12

We the plug x into 10x + 24 in order to calculate angle A.

144

Using factor theorem, factorise x⁴-x³-7x²+x+6

Answers

Answer:

Add and subtract the second term to the expression and factor by grouping .

(x-1)(x+1)(x-3)(x+2)

Answer:

(x-1)(x-3)(x+1)(x+2)

Step-by-step explanation:

x⁴-x³-7x²+x+6=

x⁴-x³-x²+x -6x²+6=

x³(x-1)-x(x-1)-6(x²-1)=

x³(x-1)-x(x-1)-6(x-1)(x+1)=

(x-1)(x³-x-6x-6)=

(x-1)(x³-3x²+3x²-9x+2x-6)=

(x-1)(x-3)(x²+3x+2)=

(x-1)(x-3)(x²+x+2x+2)=

(x-1)(x-3)(x+1)(x+2)

please help me find x

please help me find x

Answers

Answer:

8    \(\frac{\sqrt{3} }{2}\)

Step-by-step explanation:

x=8xsin60=8\(\frac{\sqrt{3} }{2}\)

Mack thinks that natural numbers are a subset of irrational numbers. Is Mack correct?

Answers

Answer:

He is incorrect.Because if they are irrational they are the opposite.

Step-by-step explanation:

5. Consider the Josephus problem: in class, we looked at n elements in a circle and eliminated every second element until only one was left. The last element surviving this process was called the Josephus number. Instead of finding the last survivor, let I(n) be the element that survives second to last. To give a few small values, I(2)=1,I(3)=1,I(4)=3, and I(5)=5. Give a closed form expression for I(n) for any n≥2.

Answers

To find a closed-form expression for I(n), we can analyze the pattern and derive a formula based on the given examples.

Let's observe the values of I(n) for various values of n:

I(2) = 1

I(3) = 1

I(4) = 3

I(5) = 5

I(6) = 5

I(7) = 7

I(8) = 1

I(9) = 3

I(10) = 5

From the examples, we can see that I(n) repeats a cycle of 1, 3, 5, 7 for every group of four consecutive numbers. The cycle begins with 1 and continues by adding 2 to the previous number.

Based on this observation, we can define a formula for I(n) as follows:

I(n) = 1 + 2 * ((n - 2) mod 4)

Explanation:

- (n - 2) represents the number of elements after eliminating the first element.

- (n - 2) mod 4 determines the position of the remaining element in the cycle (0, 1, 2, or 3).

- Multiplying by 2 gives the increment by 2 for each element in the cycle.

- Adding 1 gives the initial value of 1 for the first element in each cycle.

Using this formula, we can calculate I(n) for any given value of n.

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Help me, RSM

PLEASE I WILL GIVE BRAINLIEST
PLEASE IM BEGGING U
Write an equation to match each graph

Help me, RSMPLEASE I WILL GIVE BRAINLIESTPLEASE IM BEGGING UWrite an equation to match each graph
Help me, RSMPLEASE I WILL GIVE BRAINLIESTPLEASE IM BEGGING UWrite an equation to match each graph
Help me, RSMPLEASE I WILL GIVE BRAINLIESTPLEASE IM BEGGING UWrite an equation to match each graph
Help me, RSMPLEASE I WILL GIVE BRAINLIESTPLEASE IM BEGGING UWrite an equation to match each graph
Help me, RSMPLEASE I WILL GIVE BRAINLIESTPLEASE IM BEGGING UWrite an equation to match each graph

Answers

Step-by-step explanation:

These are going to be ABSOLUTE value type equations

I am not sure exactly how to SOLVE for them other than 'instinct' , intuition, trial and error and experience

the first one is

- | x  +1 |   + 1      

the second one is

- | x | +1

the third one is

| x -1|

Fourth one is

|x+1|  

Study these four, look for the 'patterns'  and try to do the last one yourself .....

If I bought a computer for $420. It had been reduced by 25%.
What was the original price of the computer before the reduction?
(If I could get an answer asap that would be great!)

Answers

Answer:

$560

Step-by-step explanation:

if 25% is the discount than the total of the item after the discount is .75x. So to find the original total we need the equation 420=.75x

first we need to isolate x so we divide both sides by .75, doing this will give us 560= x

to check our answer you need to multiply 560 by .75 (which I got by subtracting the discount, .25, from 1) which gives us our discounted total of $420

Find a formula for the linear equation graphed below. p = f(h) =

Find a formula for the linear equation graphed below. p = f(h) =

Answers

Given

Points (5,190000), (10,210000) and (20,250000)

Solve for the slope of the line

To solve for the slope of the line, recall the formula

\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ (x_1,y_1)\text{ and }(x_2,y_2)\text{ are any two points in the graph} \end{gathered}\)

For this case we will use (5,190000) and (10,210000)

\(\begin{gathered} (x_1,y_1)=\mleft(5,190000\mright) \\ (x_2,y_2)=\mleft(10,210000\mright) \\ \\ \text{Substitute to the slope formula} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{210000-190000}{10-5} \\ m=\frac{20000}{5} \\ m=4000 \end{gathered}\)

Now that we have m = 4,000, we will use this to solve for the y-intercept.

Recall the slope-intercept form of a linear equation

\(\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}\)

We will use point (10,210000), in this case

\(\begin{gathered} \text{Substitute the following} \\ (x,y)=\mleft(10,210000\mright) \\ m=4000 \\ \\ \text{THEN} \\ y=mx+b \\ 210000=40000+b \\ 210000=40000+b \\ 250000-40000=b \\ b=170000 \end{gathered}\)

Summarizing everything, the equation of the line is

\(p=f(h)=4000h+170000\)

why are halves a good choice for benchmark fractions for 1 1/3

Answers

Answer and explanation:

Benchmark fractions are fractions that are used as references in measuring other fractions. They are easily estimated and so can be used in measuring more "specific" fractions such as 1/5, 7/9, 3/7, 1/3 etc. If I wanted to measure 1 1/3cm for instance using a calibrated ruler, having centimeter measurements, I would first find 1cm on the ruler and then find half of one centimeter. Seeing that half is bigger than 1/3 but close, I could then estimate 1/3 to be somewhere less than 1/2 but a bit close to it

Sallaries of 41 college graduates who took a statistics course in college have a mean of $88,513 and a standard deviation of $1,508. Construct a 84.7% confidence interval for estimating the population variance. Enter the lower bound of the confidence interval. (Round your answer to nearest whole number.)

Answers

The lower bound of the confidence interval is $672,743

Given data are: 41 college graduates who took a statistics course in college have a mean of $88,513 and a standard deviation of $1,508.

We are required to construct an 84.7% confidence interval for estimating the population variance.

To find the lower bound of the confidence interval, we use the following formula: Lower bound of confidence interval:  χ2 = ((n - 1)s²) / χ2(α/2, n-1)

Where n = sample size, s = sample standard deviation, χ2 = chi-square critical value, and α = level of significance.

Here, n = 41, s = $1,508, α = 1 - 0.847 = 0.153 (using the complement of the given confidence level), and degree of freedom (df) = n - 1 = 41 - 1 = 40.

To find the chi-square critical value, we use the chi-square distribution table:

χ2(α/2, n-1) = χ2(0.0765, 40) = 26.509.

So, Lower bound of confidence interval:  χ2 = ((n - 1)s²) / χ2(α/2, n-1) = ((41 - 1) x $1,508²) / 26.509≈ $672,743.

Hence, the lower bound of the confidence interval is $672,743 (rounded to the nearest whole number).

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Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {6, 8, 10}, B = {5, 6, 9, 12}, and C = {1, 3, 7}

A ∪ B?

Answers

The value for A∪B in probability form is 3/4. The value for A∪B in data set form is {5, 6, 8}.

What is probability?

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.

The event U has data - U = {1, 2, 3, 4, 5, 6, 7, 8}

The event A has data - A = {6, 8, 10}

The event B has data - B = {5, 6, 9, 12}

The event C has data - C = {1, 3, 7}

The probability formula is -

Probability = No. of outcomes that is favorable / Total number of outcomes

The value for A∪B is -

A∪B = 3/4

The value of A∪B in data set is the values that are present in U data set and in A and B data set.

So, the value is - {5, 6, 8}

Therefore, the value is 3/4 or {5, 6, 8}.

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help me please !! ❤️❤️

help me please !!

Answers

Answer:

Sorry, I don't understand what m and a||b means. If you are able to explain it to me, I can follow up for this question. much appreciated, Accqty.

Step-by-step explanation:


The coordinate plane represents a map of a town. Each unit represents 1 mile.
A post office is located at (4-2). The town is considering constructing a library exactly 4 miles north or south of the post office
Plot a point that represents one of the locations the town is considering for the library
Drawing Tools Click on a tool to begin dowing Delete Undo
Select
Retet
Point

Answers

Answer:

(4, 2) or (4, -6)

Step-by-step explanation:

Going 4 miles north would move the point (4, -2) 4 units up. When done so, the point (4, 2) is reached.

Going 4 miles south would move the point (4, -2) 4 units down. When done so, the point (4, -6) is reached.

A graph is shown below for further conformation.

hope this helps!

The coordinate plane represents a map of a town. Each unit represents 1 mile.A post office is located

a spherical tank has a radius of 15 m. a cylindrical tank has a radius of 15 m and a height of 20 m. what is the ratio of the volume of the spherical tank to the volume of the cylindrical tank?

Answers

The volume of a spherical tank with a radius of 15 m is calculated as 4/3πr3, or 4/3π × 153 = 14,137 m3.

The volume of a sphere is calculated using the formula V = 4/3πr³, where r is the radius.The volume of a cylindrical tank with a radius of 15 m and a height of 20 m is calculated as πr2h, or π × 152 × 20 = 11,309 m3.

Therefore, the ratio of the volume of the spherical tank to the volume of the cylindrical tank is 14,137/11,309 = 1.24.

This means that the spherical tank has 24% more volume than the cylindrical tank.

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Answer:

\(r = \sqrt{ \frac{v}{20\pi?} ?} \)

In one day, a store sold 2/3 as many DVDs as Blu-Ray discs. the total number of DVDs Blu-ray discs sold that day was 280, how many DVDs were sold?

Answers

Answer: Let's start by representing the number of Blu-Ray discs sold as x.

According to the problem, the store sold 2/3 as many DVDs as Blu-Ray discs. So the number of DVDs sold is 2/3 of x, or (2/3)x.

We also know that the total number of DVDs and Blu-Ray discs sold was 280. So we can set up an equation:

(2/3)x + x = 280

To solve for x, we can simplify the equation by combining like terms:

(5/3)x = 280

Multiplying both sides by 3/5, we get:

x = 168

So the number of Blu-Ray discs sold was 168.

To find the number of DVDs sold, we can use the expression we derived earlier:

(2/3)x = (2/3) * 168 = 112

Therefore, the store sold 112 DVDs on that day.

Step-by-step explanation:

A students cost for last semester was 2000 dollars. She spent 300 on books. What percent of last semester was spent on books

Answers

Step-by-step explanation:

100% = $2000

1% = 100%/100 = 2000/100 = $20

how many % are $300 ?

well, as many % as 1% fits into these $300 :

300 / 1% = 300 / 20 = 15%

15% of last semester's costs were spent on books.

Answer:

total= 2000

spent = 300

300/2000x100

= 15 %

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Which values represent solutions to cosine (startfraction pi over 4 endfraction minus x) = startfraction startroot 2 endroot over 2 endfraction sine x, where x is an element of [0, 2pi)?

Answers

The given trigonometric function consists of trigonometric values of common angles.

The values that represent the solution to \(cos(\frac{\pi }{4} -x)=\frac{\sqrt{2} }{2} .sinx\), x ∈ [0, 2·π) are; \(x=({\frac{\pi }{2} or \frac{3.\pi }{2} )\).

What are trigonometric functions?Trigonometric functions are real functions in mathematics that connect an angle of a right-angled triangle to ratios of two side lengths. They are widely utilized in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more.

The given function is:  \(cos(\frac{\pi }{4} -x)=\frac{\sqrt{2} }{2} .sinx\)

Where; x ∈ [0, 2·π).

We have; cos(A - B) = cos(A)·cos(B) - sin(A)·sin(B).

\(cos(\frac{\pi }{4} )=\frac{\sqrt{2} }{2}, sin(\frac{\pi }{4} )=\frac{\sqrt{2} }{2}\)

Which gives:

\(cos(\frac{\pi }{4}-x )=\frac{\sqrt{2} }{2}. cosx+\frac{\sqrt{2} }{2}.sinx\)

So, we obtain:
\(\frac{\sqrt{2} }{2} .cosx=\frac{\sqrt{2} }{2}.sinx-\frac{\sqrt{2} }{2} .sinx=0\\cosx=0\\cos\frac{\pi }{2} =0\)

Therefore, the possible solutions (x-values) to cos x = 0 are:

\(0\) ≤ \(\frac{n.\pi }{2}\) ≤ \(2.\pi\)

Where, n = 1, 3, 5, .., x ∈ [0, 2·π)

We get:  \(x=({\frac{\pi }{2} or \frac{3.\pi }{2} )\).

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21 less than t HELP ME

Answers

Answer: 21 < t  unless it is subtraction then its t - 21

factorize the expression:
mn² + mnp + 3mn + 3mp

Answers

Answer:

(mn+3m)(n+p)

Step-by-step explanation:

Answer:

(mn + 3m)(n + p)

Step-by-step explanation:

Factorize by grouping:

\(mn^2+mnp\\mn(n+p)\\\\3mn+3mp\\3m(n+p)\\\\(mn+3m)(n+p)\)

The product of two positive number is 108. If one one number is treble of other number, find those number​

Answers

Let's assume that the smaller of the two positive numbers is x. Then we can express the larger number as 3x, since it is three times the smaller number.

We are given that the product of the two numbers is 108, so we can write:

x * 3x = 108

Simplifying this equation, we get:

3x^2 = 108

Dividing both sides by 3, we get:

x^2 = 36

Taking the square root of both sides, we get:

x = 6

Since x is the smaller of the two numbers, the larger number is 3x, which is:

3x = 3(6) = 18

Therefore, the two positive numbers are 6 and 18. We can check that their product is indeed 108:

6 * 18 = 108

So the solution is that the two positive numbers are 6 and 18.
Let's call the smaller number "x". Since the larger number is treble the smaller number, we can call it "3x". We know that the product of these two numbers is 108, so we can set up an equation:

x * 3x = 108

Simplifying the left side of the equation:

3x^2 = 108

Dividing both sides by 3:

x^2 = 36

Taking the square root of both sides:

x = 6

Since the smaller number is 6, we can find the larger number by multiplying it by 3:

3x = 3(6) = 18

Therefore, the two numbers are 6 and 18.

A line of symmetry divides a figure into two equal halves in all aspects. State true or false.

Answers

The statement A line of symmetry divides a figure into two equal halves in all aspects is true.

A line of symmetry does indeed divide a figure into two equal halves in all aspects. When a figure has a line of symmetry, it means that if you were to fold the figure along that line, both halves would match exactly. This implies that the two halves of the figure are mirror images of each other, and they are congruent in terms of shape, size, and all other aspects.

The concept of symmetry is widely used in various fields, including mathematics, art, and design. Figures that possess symmetry often have an aesthetically pleasing and harmonious appearance.

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27. Two friends see each other in a grocery store. Initially, they are 50 m apart. The first friend starts walking toward the second friend at a constant speed of 0.50 m/s. At the same instant, the second friend accelerates uniformly from rest at a rate of 1.0 m/s
2
toward the first friend. How long before the two friends can shake hands?

Answers

The time before the two friends can shake hands can be determined by finding the time it takes for the second friend to cover the initial distance of 50 m while accelerating uniformly.

Using the equation of motion s = ut + (1/2)at^2, where s is the distance, u is the initial velocity, a is the acceleration, and t is the time, we can solve for t.

For the first friend, who is walking at a constant speed of 0.50 m/s, the distance covered is given by s1 = u1t, where u1 = 0.50 m/s.

For the second friend, who is accelerating uniformly from rest, the distance covered is given by s2 = (1/2)at^2, where a = 1.0 m/s^2.

Since they will meet when their distances covered sum up to the initial distance of 50 m, we can set up the equation: s1 + s2 = 50 m.

Substituting the expressions for s1 and s2, we get (0.50t) + (1/2)(1.0t^2) = 50.

Simplifying and rearranging the equation, we have 0.50t + 0.50t^2 = 50.

Solving this quadratic equation will give us the time it takes for the two friends to shake hands.

Now, let's explain the process in more detail. The first friend is walking at a constant speed of 0.50 m/s, so the distance covered by the first friend is given by the product of the speed and time, s1 = 0.50t.

The second friend starts from rest and accelerates uniformly at a rate of 1.0 m/s^2. We can use the equation of motion s2 = (1/2)at^2, where s2 is the distance covered by the second friend.

To find the time it takes for the second friend to cover the distance, we set up the equation s1 + s2 = 50, as the sum of the distances covered by both friends should equal the initial distance of 50 meters.

Substituting the expressions for s1 and s2, we get 0.50t + (1/2)(1.0t^2) = 50.

This equation is quadratic in nature, and solving it will give us the time it takes for the two friends to shake hands.

By solving the equation, we find the value of t to be approximately 10.77 seconds. Therefore, the two friends can shake hands after approximately 10.77 seconds.

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does anyone know this.
i will give brainliest

does anyone know this.i will give brainliest

Answers

Answer:

4.1 x 10^8

Step-by-step explanation:

Answer:

The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.

if expected frequencies are not all​ equal, then we can determine them by enp for each individual​ category, where n is the total number of observations and p is the probability for the category. b. if expected frequencies are​ equal, then we can determine them by ​, where n is the total number of observations and k is the number of categories. c. expected frequencies need not be whole numbers. d. ​goodness-of-fit hypothesis tests may be​ left-tailed, right-tailed, or​ two-tailed.

Answers

If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.


On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.

Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.

Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.

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