If Samuel travels twenty kilometers north, fifty kilometers south, and forty kilometers west, what is the approximate magnitude of his total displacement, in kilometers? Find the solution by drawing a diagram. km

Answers

Answer 1

Answer:

108.75km

Step-by-step explanation:

please find attached the diagram

total displacement can be determined by using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

length of x =

20² + 40²

= 400 + 1600

2000

square root of 2000

= 44.72km

length of y

40² + 50²

1600 + 2500 = 4100

square root of 4100

64.03km

total displacement = 44.72 + 64.03 = 108.75


Related Questions

Please don’t troll include work

Answers

4 1/8-2 3/4= 4 1/8 - 2 6/8= 1 3/8

2 3/5 + 1 5/6 = 2 18/30 + 1 25/30= 3 43/30 = 4 13/30

8 9/12 + 2 3/8= 8 18/24 + 2 9/24= 10 27/24 = 11 3/24= 11 1/8

3 1/3 - 1 1/2= 3 2/6 - 1 3/6 = 2 8/6 - 1 3/6= 1 5/6

Spain settled Texas because of threats from
a. France.
b. hostile Indians.
C. England .
d. the United States.

Answers

Answer:

The answer is A, France

Answer:

Spain settled taxes because of threats from France

Find the slope

2/3
-2/3
3/2
-3/2

Answers

it’s 3/2 you can look at the the point (0,1) and (2,4) you can use a method called rise over run you got up 3 over 2 units to get to the next point
The slope is 3/2.

Method:

Look at two perfect points like (-2,-2) and (0,1)
Then use rise/run triangle to find the slope in the quickest way.
Start from point (-2,-2), move 3 units up and 2 units to the right to reach point (0,1).

Please help due in 10 min!!! Solve for X

Answers

Answer:

x == 9

Step-by-step explanation:

Angle at the vertex is half the difference of those at the intercepted arcs;

35 = 1/2(120-15x+5)

35 * 2 = 120-15x-5

70 = 115 - 5x

70 - 115 = -5x

-45 = -5x

x = 45/5

x = 9

Hence the value of x is 9

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The table of values below represent an exponential function. Write an exponential equation that models the data.
у
-2 23
-1 16.1
0 11.27
1 7.889
2 5.5223
a.
y = 23(0.7)
y = 16.1(1.7)
C. y = 11.27(0.7)
d.
y = 11.27(1.3)
b.

Answers

9514 1404 393

Answer:

  C.  y = 11.27(0.7^x)

Step-by-step explanation:

The table value (x, y) = (0, 11.27) tells you the multiplier of the exponential term will be 11.27. The decreasing values tell you the base of the exponential term is less than 1. Only answer choice C matches these requirements.

Algebraic expression for six times 4 Less Than 3 times x

Answers

Answer:

6(3x - 4)

Step-by-step explanation:

From the question, we can deduce the following points;

- 6 is multiplied by 3x minus 4

Translating the word problem into an algebraic expression, we have;

6 * (3x - 4)

please help me with this

Answers

9514 1404 393

Answer:

C = 40°c ≈ 5.79a ≈ 6.89

Step-by-step explanation:

The acute angles in a right triangle are complementary, so ...

  C = 90° -50°

  C = 40°

__

SOH CAH TOA reminds you of the relations ...

  Cos = Adjacent/Hypotensue

  Sin = Opposite/Hypotenuse

Then ...

  cos(50°) = c/9

  c = 9·cos(50°) ≈ 5.79

  sin(50°) = a/9

  a = 9·sin(50°) ≈ 6.89

8.36 Football and Brain Size: Randomization Test Exercise 8.35 describes a study examining hippocampus volume in the brain between controls who have never played football, football players with no history of concussion, and football players with a history of concussion. The data are available in FootballBrain. Use StatKey or other technology to conduct an ANOVA randomization test to determine whether there is a significant difference in mean hippocampus volume between the three categories. What is the F-statistic for the observed data

Answers

Answer:

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

Step-by-step explanation:

To conduct an ANOVA randomization test we perform anova without replication in excel.

The data for the test is

   

                            Mean    Standard Deviation Sample Size

Never

Played Football 7602.5          1074                   25

FB with no History   6459.2         779.9                  25

FB with Concussion 5734.6       593.4                   25

Total                 6598.8      1133.5                  75

Anova: Two-Factor Without Replication    

   

SUMMARY Count Sum Average Variance

Row 1 2 8676.5 4338.25 21310656.13

Row 2 2 7239.1 3619.55 16127224.25

Row 3 2 6328 3164 13215968.72

   

Column 1 3 19796.3 6598.766667 886871.7433

Column 2 3 2447.3 815.7666667 58708.90333

ANOVA Table  

Source           Sum of     Degrees     Mean

of Variation      Square    of freedom  Squares

                            SS     df          MS              F P-value

B/w Rows 1401945.703 2 700972.8517 2.8657 0.259

B/w Col      50164633.5 1 50164633.5 205.0819  0.00484

Error     489215.59         2 244607.795                          

Total 52055794.79 5    

Set up the null and alternate hypotheses :

H0 ; there's no difference between the means and

there's no difference between the standard deviations

against the claim

Ha: there's a difference between the means and

there's  a difference between the standard deviations

The significance level is chosen at 0.05

The test statistics to use are

F1= estimated variance from Between Means/  estimated variance from Error SS

F1= s1²/s3²

F1= estimated variance from Between Standard Deviations /  estimated variance from Error SS

F2- s2²/s3²

with υ1= (2,2)  and υ2(1,2) degrees of freedom.

The critical regions for F (2,2)≥ 19 for 0.05 significance level

and F(1,2) ≥ 18.51  for 0.05 significance level

Since the calculated F=  2.8657 does not lie in the critical region  F (2,2)≥ 19 we conclude that there no difference between the means.

Since the calculated F=  205.0819  lies in the critical region F(1,2) ≥ 18.51  we conclude that there is a difference between the standard deviations of the three groups.

The F- statistic for the observed data is 0.101  as calculated by F- test in excel.

Rewrite the function by completing the square. f(x)=x^{2}+8x+4

Answers

Answer:

[tex]\implies f(x) = ( x + 2)^2[/tex]

Step-by-step explanation:

Given :-

f(x) = x² + 8x + 4 .

And we need to rewrite the function by completing the square. The function is ,

[tex]\implies f(x) = x^2+8x + 4[/tex]

We can rewrite the function in the form of ,

[tex]\implies ( a + b)^2= a^2+b^2+2ab [/tex]

Rewriting the function :-

[tex]\implies f(x) = x^2+8x + 4\\\\\implies f(x) = x^2 + 2.2.2x + 2^2[/tex]

This is similar to the whole square form stated above . So ,

[tex]\implies f(x) = ( x + 2)^2[/tex]

Hence the function in whole square form is (x + 2)² .

simplify 7.06 ×1000 - 1976 ÷100​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{7.06}\times\large\text{1,000 - 1,976}\div\large\text{100}\\\large\text{7.06}\times\large\text{1,000 = \boxed{\bf 7,060}}\\\large\text{7,060 - 1,976}\div\large\text{100}\\\large\text{1,976}\div\large\text{100 = 494}\div\large\text{25 = \boxed{\bf 19.76}}\\\large\text{7,060 - 19.76}\\\mathsf{= \boxed{\bf \ Answer: \dfrac{17,6006}{25}\ or\ 7,040.24}}\leftarrow\large\text{either of those choices should}\\\large\text{work because they are both equivalent to each other }[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

You are going to use an incline plane to lift a heavy object to the too of shelving unit with a height of 7 ft. The base if the incline plane is 26 ft from the shelving unit. What is the length of the incline plane? FAST HELPPP MEE PLEASEE IM STUCK

Answers

Answer:

17.46 ft

Step-by-step explanation:

The inclined plane is in the shape of a right triangle, therefore we can use the Pythagorean theorem to find the length of the inclined plane. The formula for this theorem is the following

[tex]a^{2} + b^{2} = c^{2}[/tex]

Where a and b are the two sides and c is the hypotenuse/inclined side. Therefore, we can simply plug in the lengths of the two sides into the formula and solve for c.

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]7^{2} + 16^{2} = c^{2}[/tex]

[tex]49 + 256 = c^{2}[/tex]

[tex]305 = c^{2}[/tex]   ... square root both sides

17.46 = c

What is the solution set to the equation 15-4x=x^2-6x?

Answers

Answer:

x = 5 and x = -3

Step-by-step explanation:

15 - 4x = x² - 6x

15 = x² - 2x

0 = x² - 2x - 15

Now if solved using quadratic formula the answer would be:

x = 5 and x = -3

Hope this helps!

Which could be the length of BC
11 ft
13 ft
15 ft
18 ft

Answers

Try 18 ft , if no 15

Jamie is working on simplifying a problem with negative exponets and got the answer 1/4³. What might Jamie's original expression have been? In other words, work backwards and rewrite this expression with a negative exponet​

Answers

Answer:

Your answer would be 4^-3.

Step-by-step explanation:

So, a negative exponent by definition, is writing out 1/x^y. Where x is the number and y is the negative exponent.

In this case, 4 would be the number and -3 would be the negative exponent.

So we're going from 1/x^y to x^-y in order to solve this. Therefore, this is something where the numbers can just be plugged in.

1/x^y ---> x^-y

1/4^3 ---> 4^-3

Your answer would be 4^-3.

La ecuación de la recta que pasa por el punto P(1,3) y es paralela a la recta

Answers

Answer:  No puedo responder a esto sin que me muestres el problema.

The table shows linear relationship between the values of X and Y.

Answers

Answer:

The correlation is [{-3,6,9},{1,-2,-3}]

Step-by-step explanation:

The result is -1

Select the correct answer. What is the domain of the function represented by this graph? the graph of a quadratic function y = x^2 – 4 with a minimum value at the point (0,-4) A. x ≤ 0 B. -2 ≤ x ≤ 2 C. x ≥ 4 D. all real numbers

WILL GIVE BRAINLIEST

Answers

Answer:

For a general function f(x), the domain is the set of the possible values of x that we can input in the function.

The trick to find the domain is first to assume that the domain is the set of all real numbers, and then let's try to find the values of x that cause a problem in the function. (If the graph is cut in some value of x, such that it ends with an open or a closed point, then these values define the domain).

Such that one of these problems can be like x = 1 in the function:

g(x) = 1/(x - 1)

Because that value causes the denominator to be equal to zero, then the domain of that function will be the set of all real numbers except the value x = 1.

In this case, we have:

f(x) = x^2 - 4

There is no value of x that causes a problem for this function, then the domain is the sett of all real numbers.

Correct option D.

What is the mean of the data set below? Round to the nearest tenth when necessary. 96, 98, 56, 88

Answers

search up mean calculator

Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?

Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds

Answers

Answer:

Four-thirds

Step-by-step explanation:

If you graph the first equation on desmos, then graph the equation x = -1, the intersection is at 1.333333, making the answer 4/3.

The Limit of f (x) as x approaches negative 1 is 4/3, the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

f(x) = x² - (1/3)x    x ≠ -1

    = -1                  x = -1

[tex]\lim_{x \to \ -1} f(x)[/tex] = (-1)² - (1/3)(-1)

                      f(x) = 1 + (1/3)

     

                      f(x) = 4/3

To know more about Function

https://brainly.com/question/12431044

#SPJ5

Please help and thank you

Answers

Answer:

2.7>217/100

Step-by-step explanation:

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

From Pythagoras Rule

c=√1²+2²

c=√5 cm

c= 2.2cm

To the Nearest tenth..

Someone help
A statistican is analyzing data to find a model. She has determined the following characteristics of the data. Which characteristics of the data defines the period?

Answers

Answer: D) The data repeats every 4 minutes

Explanation:

The period of a function measures how long a cycle takes. Think of tides on a beach. There's a regular pattern that can be predicted whether its high tide or low tide. Time is often the critical component with the period. Since choice D mentions time and the key term "repeat", this is why it's the answer.

The other values, while useful elsewhere, aren't going to tell us anything about the period. The initial value being 5 doesn't tell us when y = 5 shows up again, and if the function is repeating itself at this point or not. So info about choice A is not sufficient to determine the period. The same goes for choices B and C as well.

What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b')?
O-4
0 -3
O 3
O4

Answers

Answer:

3

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]y = a(b)^x[/tex]

In which a is the value of y when x = 0.

In this question:

When [tex]x = 0, y = 3[/tex]. Thus, we have that a = 3.

Binh has to write an 8 page report. If he has written 3/4 of his report so far, how many pages has he written?​

Answers

Answer:

6

Step-by-step explanation:

you're overthinking the problem, all you have to do is multiply 8 and (3/4) to get 6, super easy

The area of a rectangle is 99 square meters. The length is 11 meters. Find the width.

Answers

Answer:

9 meters

Step-by-step explanation:

To find the area of a rectangle you do length times width. To find a side length, or the width divide the area by the length. 99/11=9.

The width is 9 meters.

PLS HELPPPP ! I need itttt

Answers

Answer:

x = 10

Step-by-step explanation:

The answer is x=10.

The management of a relatively new social networking website named BooglePlus is conducting a pilot study comparing use of its own site with use of a longer established social networking site named FaceList. Some articles published on the Internet give the reader the opportunity to register votes (called "likes") for the article on social networking sites to which the reader belongs. A BooglePlus employee selects from the Internet a random sample of 28 articles where the opportunity is given for registering votes for the article on both BooglePlus and Face List. Letting x be the number of votes on FaceList and y be the number of votes on the BooglePlus, the slope of the least squares regression line of y on x is found to be 0.0623, with a standard error of 0.0224.

Required:
What could be used to compute a 95% confidence interval for the slope of the population regression line of y on x?

Answers

Answer:

0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Step-by-step explanation:

Given the data in the question;

sample size n = 28

slope of the least squares regression line of y on x or sample estimate = 0.0623

standard error = 0.0224

95% confidence interval

level of significance ∝ = 1 - 95% = 1 - 0.95 = 0.05

degree of freedom df = n - 2 = 28 - 2 = 26

∴ the equation will be;

⇒ sample estimate ± ( t-test) ( standard error )

⇒ sample estimate ± ( [tex]t_{\alpha /2, df[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.05 /2, 26[/tex]) ( standard error )

⇒ sample estimate ± ( [tex]t_{0.025, 26[/tex]) ( standard error )

{ from t table; ( [tex]t_{0.025, 26[/tex]) = 2.055529 = 2.056

so we substitute

0.0623 ± ( 2.056 )( 0.0224 )

Therefore, 0.0623 ± ( 2.056 )( 0.0224 ) can be used to compute a 95% confidence interval for the slope of the population regression line of y on x

Students on the baseball team and in the French club were asked how many pets they have. The results are shown.
Baseball Team: 0,0,0,1,1,1,1,1, 2, 2, 2,3,3,3,4
French Club: 0,0,1, 1, 1, 2, 2, 2, 2,3,3,3,3,4,6
What is the difference of the means of the two sets of data?
A. 0.6
B. 1
O C. 1.9
D. 2

Answers

Answer:

A

Step-by-step explanation:

The baseball teams total is 24, divided by the number of answers, 25, is 1.6.

The French Club’s total is 33, divided by the number of answers, 15, is 2.2.

2.2-1.6 is 0.6.

during the council meeting, the number of women is 2 times the number of men.how many women and men attended the meeting if there were 30 people present?​

Answers

20 women and 10 men!!
if there was ten men attending the meeting, and the number of women were twice as much of the number of men in the meeting, there would be 20 women, and with 10 men that makes 30 people present

The ratio of boys to girls in a class
is 5:7. There are 36 students in the
class. How many more girls than boys
are there?

Answers

Answer:

tbh i may be too late but the answer is 6

Step-by-step explanation:

the ratio 5:7 in the question is basically saying for every 5 boys are 7 girls

if you multiply the number of boys by 5 ( which would equal 15) you would have 21 girls, 15 + 21 equals 36.  21- 15= 6 giving us the anser

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0.2x + 0.3 = 0.1x + 0.5 hii ill give brainliest please help thanks :) PLEASE HELP ILL MAKE YOU THE BRAINIEST!! Please help, sorry the image is blurry I retook it multiple times. For each of the salts below, match the salts that can be compared directly, using Ksp values, to estimate solubilities. a. Mg(OH)2b. CaSO3c. BaCrO4d. CaS1. copper (II) sulfide2. zinc hydroxide Which of these describes a unique polygon?A quadrilateral with 3 sides lengths 5 inches longA triangle with a side length of 6 inches, 7 inches, and 8 inchesA triangle with angles 30, 60, and 90A triangle with side lengths 5 cm and 4 cm and a 70 angle Find the value of x. Round the length to the nearest tenth of a unit. Please help! Can someone help me pleasee! resuelve la siguiente ecuacin trigonomtrica 2Sena-3=0 PLEASE HELP ASAP, WILL MARK BRAINLIEST!!!! Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point- slope form is y + 1 = (x 8). Do noble gases lose or gain electrons to get a full valence shell? In the Hobbit Were you satisfied with storys falling action? Were there any questions about the story or main character that you had as you were reading this part of the novel? What is the purpose of paragraph 2 Please help me answer this ASAP! Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the length of the diagonal of the table. Identify 5-7 actions that each president took that escalated and increased American involvement in Vietnam. Choose the best response:En junio, me gustaporque no tengo clases y es mi oportunidad para viajar.O ir de vacacionesO montar mi caballoO correr en el parque Which statements about the system are true?Select TWO options.y = 1/3x - 4 - = -7A. The system has one solution.B. The system consists of parallel lines.C. Both lines have the same slope.D. Both lines have the same y-intercept.E. The equations represent the same line. Complete the table to find the MAD of the data set.