A woman leaves home and walks 3 mi. west, and then 4 mi. south. What is the magnitude of her displacement? Note: they are not asking you to add how far she went west and south. They are asking how far she is from home if she went directly back. Think of a triangle.

Answers

Answer 1

Answer:

5 miles

Step-by-step explanation:

The route makes a right triangle with legs 3 mi and 4 mi, and the hypotenuse of x mi.

Use Pythagorean to find the distance:

x = [tex]\sqrt{3^2 + 4^2}[/tex] x = [tex]\sqrt{25}[/tex]x = 5 miles
Answer 2

Vector Review Practice Answers:

1. B - initial (14,-5); terminal (0,0)

2. A - sqrt(22^2 + 4^2)

3. B - <4,12>

4. D - Yes, the two vectors have the same magnitude and direction.

5. D - Vectors u and v are neither because the angle between the two vectors is not equal to 0 degrees, 90 degrees, or 180 degrees

6. C - approximately 4 mi. at a direction angle of 56 degrees northeast

7. A - approximately 174 mph at a direction angle of 58 degrees northeast

8. A - -200

9. D - W = 59 ft*lbs

10. C - u = 4/5i - 3/5j


Related Questions

Tiffany said that there is no correlation between being a girl and playing in an intramural basketball league. Do you agree or disagree with Tiffany? Explain.

A.
Disagree, because the frequency indicates that there is a negative correlation to being a girl and being in an intramural league.

B.
Agreed; there is no correlation.


C.
Agree, because the frequency indicates that there is a positive correlation to being a girl and being in an intramural league.

Answers

Answer:

b

Step-by-step explanation:

find the value of x

plssss help me

Answers

Answer:

x = 20

Step-by-step explanation:

The angles are supplementary so:

7x + x + 20 = 180

8x + 20 = 180

8x = 160

x = 20

ur answer will be x=20 hope this helps you outburst

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options

Answers

What’s the options ?

Rachel had a loan for $4,000 loan for 4 years.
She paid a total of $608 in simple interest over the 4 years.
What was the annual interest rate for the loan?

Answers

9514 1404 393

Answer:

  3.8%

Step-by-step explanation:

The interest on a simple-interest loan is ...

  I = Prt

where P is the principal value, r is the annual rate, and t is the number of years.

Solving for r, we get ...

  r = I/(Pt) = 608/(4000×4) = 0.038 = 3.8%

The annual interest rate for the loan was 3.8%.

Which is the best type of graph to show the kilograms of food consumed and kilograms of food wasted in the
school cafeteria each day?
A. stem and leaf plot

B. line graph

C. dot plot

D. double bar graph

Answers

Answer:

Double Bar Graph

Step-by-step explanation:

What is the surface area of the composite figure shown?

Answers

Answer:

531 m²

Step-by-step explanation:

9x9x5=405 (5 sides that are 9x9, including the bottom)

1/2x9x7x4=126 (4 triangles on top)

405+126=531

The area of a square is 54 cm. What
is the length of each side of the
square?
A. between 8cm and 9cm
B. between 5cm and 6cm
C. between 6cm and 7cm
D. between 7cm and 8 cm

Answers

area is a^2 since all the sides r the same length
i’d say between 7cm and 8cm

Find the circumference of a circle with a diameter of 35 ft. Use 22/7 for π.

Answers

Answer:

110

Step-by-step explanation:

the equation for circumference of a circle is 2 multiplied by pie multiplied by radius. so you do 22/7 multiply that by two and then divide 35 by 2 and get 17.5 and multiply that by the pie times 2

PLEASEE HELP
EXTRA POINTS
BRAINLIEST

Painter Pete uses a ladder to reach a second story window on the house he is
painting. The bottom of the window is 20 feet above the ground. The foot of the
ladder 15 feet from the house. How long is the ladder?

Answers

Answer:

25 feet

Step-by-step explanation:

20^2 + 15^2 = 625

square root of 625 is 25

Answer:

that's a big ladder

35ft

Step-by-step explanation:

⚠️⚠️⚠️HELP HELP HELP IMAGE ATTACHED EXTRA POINTS

Answers

Answer:

2

Step-by-step explanation:

Pls help help help pls

Answers

Answer:

Its the bottom left one :)

Step-by-step explanation:

A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 or 10, you win $4. If the sum is 5, 9, or 12, you win $1. If the sum is any other value (2, 3, 4, 7, 8, or 11), you lose $2. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X

Answers

Answer:

The expected value of X is $0.0833.

Step-by-step explanation:

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

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3)

Sum of 10: (4,6), (5,5), (6,4)

Sum of 12: (6,6)

Probabilities:

5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.

4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.

36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.

What is the expected value of X?

Multiplication of each outcome by its probability. So

[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]

The expected value of X is $0.0833.

2/6 = 1/2 1/3
which one is the answer

Answers

Answer:

1/3

Step-by-step explanation:

2+2+2=6

There are three 3's

During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?

Answers

Answer: 0.8015

Step-by-step explanation:

Let F= event that a person has flu

H= event that person has a high temperature.

As per given,

P(F) =0.35

Then P(F')= 1- 0.35= 0.65               [Total probability= 1]

P(H | F) = 0.90

P(H|F') = 0.12

By Bayes theorem, we have

[tex]P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015[/tex]

Required probability = 0.8015

What is the value of x
[tex]x {}^{2} \times 5x = 625[/tex]

Answers

Answer:

x = 5

Step-by-step explanation:

x^2 * 5x = 5x^3

5x^3 = 625            Divide by 5

x^3 = 625/5

x^3 = 125               Take the cube root of 125

x = 5

plssssssssssssssssss helpppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Nice chrome book man. Better than a school laptop at least.
Mans for real said nice chrome book

What is the unit rate for the ratio 4/7: 8/21?

Answers

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

[tex]Ratio = 4/7 : 8/21[/tex]

Required

Determine the unit rate

To do this, we need to express the ratio as:

[tex]Ratio = m : 1[/tex]

Where m is the unit rate

[tex]Ratio = 4/7 : 8/21[/tex]

Express as fraction

[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]

Solve

[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Express as ratio

[tex]Ratio = 1.5 : 1[/tex]

Hence, the unit rate is 1.5

How do I solve this problem below!

Answers

Answer:

$5.44

Step-by-step explanation:

$1.75 + $1.26 + $1.08 + $0.52 = $4.56

$10.00 - $4.56 = $5.44

The correct answer is five dollars and fourth four cents.

A culture of bacteria has an initial population of 470 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

The population of bacteria in the culture after 7 hours is approximately 883.

What is an exponential function?

Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.

Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:

Since the initial population is 470, we have P₀ = 470.

The doubling time is 8 hours, so we have d = 8.

Substituting these values into the formula, we get:

[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]

P₇≈ 882.77

To know more about an exponential function follow

https://brainly.com/question/22967542

#SPJ2

For each equality decide whether the solution is represented by X less than 2 .5 or X greater than 2.5 -4x+5>-5 -25>-5(x+2.5)

Answers

Answer:

[tex]x<2.5[/tex] and [tex]x > 2.5[/tex] are the solutions

Step-by-step explanation:

Given

[tex]-4x + 5 > -5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Required

Determine if their solution is x < 2.5 or x > 2.5

[tex]-4x + 5 > -5[/tex]

Collect like terms

[tex]-4x>-5-5[/tex]

[tex]-4x>-10[/tex]

Divide by -4

[tex]x<\frac{-10}{-4}[/tex]

[tex]x<2.5[/tex]

[tex]-25 > -5(x + 2.5)[/tex]

Open bracket

[tex]-25 > -5x - 12.5[/tex]

Collect like terms

[tex]5x > 25- 12.5[/tex]

[tex]5x > 12.5[/tex]

Divide by 5

[tex]x > \frac{12.5}{5}[/tex]

[tex]x > 2.5[/tex]

No BS and show all of your work please and you must use the 1% or 10% method which I don’t know what that is LOL

Answers

I think it’s 10% since it’s more

Answers:

38% of 15 = 5.7

29% of 75 = 21.75

4% of 220 = 8.8

No idea what the 1% or 10% method is either. But these answers would be better then to leave the questions blank.

The test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase?
A
median
B
mean
C
mode
D
range

Answers

Answer:

b

Step-by-step explanation:

3/4(5x - 3) + 8 = 17.

Answers

Answer:

x=3

Step-by-step explanation:

Which is the graph of linear inequality x + 2y <= 12

Answers

X+2y=12
X+2y=12-12
X+2y-12=0

Answer:

B

Step-by-step explanation:

i got a 95% so i thinks its right

Victor buys 4 sleeves of golf balls. He has coupons for $0.75 off the regular price of each sleeve. After using the coupons, the total cost of the golf balls is $11. What is the regular price of each sleeve of golf balls?

Answers

Each sleeve was $3.50

His coupon is for .75 off each sleeve. He got four sleeves, so you’d multiply .75 x 4 to get 3.

Then add 3 + 11 to get the total price he would have paid without the coupon (14).

Then divide 14 by 4 (the number of sleeves he bought) to get 3.50

please help, i'll give brainliest. (don't send a link please)

Answers

Answer:

A

Step-by-step explanation:

y+5<8

Subtract 5 from each side

5+5-5 <8-5

y<3

Since there is no equals sign, there is an open circle at 3

y is less than so the line goes to the left

Choice A

Timmy and Sarah head out to dinner and Garfinkels in Vaile. Timmy brings $40 with him. If buy two French Dips costing $10.95 a piece and two sodas costs $1.95 each, how much does Timmy have left if there is a 6% sales tax and they tip 20% on the food including the sales tax

Answers

Answer:

$3.80

Step-by-step explanation: :)

What type of correlation is shown in the graph?

A. Positive
B. Negative
C. No Correlation
D. Linear

Answers

Answer:

This graph shows a negative correlation

Hope this helps!

A. 7
B. 8
C.9
D. 6
FOR BRAINLIST!!

Answers

Answer:

It is going to be C.9 hope this help hopefully not late. :D

Step-by-step explanation:

Its like a train so (2x3)+8x(7x-2)= your answer but you can solve it in a calculator :D

Answer:

D. 7

Step-by-step explanation:

According to this problem, the sum of the angles is 90°. This means we're adding.

2x + 3x + 8 + 7x - 2 = 90.

To make this easier to solve, we can combine like terms.

2x + 3x + 7x = 12x.

The remaining numbers are 8 and -2.

8 + -2 = 6

Our final expression is:

12x + 6 = 90

First, subtract 90 from 6 and get 84.

Lastly, divide the difference (84) by 12.

12x = 84

84 / 12 = 7.

Therefore, the value of x is 7.

look at pic 10 points

Answers

Answer:

120

Step-by-step explanation: 10 x 12 = 120 m. Hope this helps

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