A football coach walks 12 meters westward, then 16 meters eastward,
then 22 meters westward, and finally 6 meters eastward.
For this motion, what is the distance moved?
What is the magnitude and direction of the displacement?

Complete Question

The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.  

[tex]\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198 \end{array}\right|[/tex]

Answer:

[tex]\dfrac{108}{329}[/tex]

Step-by-step explanation:

From the table above

Total Number of commuters who used public transportation=329

Number of commuters who spent 60 or more minutes on public transportation=108

Therefore:

Given that a commuter used public transportation,  the probability that the commuter had a commute of 60 or more minutes:

P ( 60 + minutes ∣ public transportation ) = [tex]\dfrac{108}{329}[/tex]

Answer:

Probability of choosing one club and one spade = 0.6025

Step-by-step explanation:

Total number of cards= 52 cards

For the first event

Probability of choosing a club

Toatal club = 13 cards

Probability of choosing a club

= 13/52

Probability of choosing a club

= 1/4

Probability of choosing a club

=0.25

For the second event

Probability of choosing a spade

Toatal spade = 13 cards

Probability of choosing a spade

= 13/52

Probability of choosing spadep

= 1/4

Probability of choosing a spade = 0.25

Probability of both = 0.25*0.25

Probability of both = 0.6025

Answer:

D. 0.1275

Step-by-step explanation:

Justo took the Pre-Test on Edg (2020-2021)!!

Answer:

Step-by-step explanation:

Fifteen of the 100 digital video recorders​ (DVRs) in an inventory are known to be defective, the total number of non-defective DVRs will be 100-15 = 85 DVRs.

If 85 DVRs are not defective, the probability that you randomly select a DVR that is not​ defective can be expressed as:

P(non-defective DVRs) = Total number of non-defective DVRs /Total DVRs

P(non-defective DVRs) = 85/100

P(non-defective DVRs) = 17/20

Answer:

0.85

Step-by-step explanation:

Given;

Number of defective DVRs D = 15

Total number of DVRs T = 100

Number of non defective DVR N = T - D = 100 - 15 = 85

The probability of selecting a non defective DVR P(N) is equal to the number of non defective DVR divided by the total number of DVRs.

P(N) = N/T

Substituting the values;

P(N) = 85/100

P(N) = 17/20 = 0.85

Answer:

26

Step-by-step explanation:

5(7 − 4)^2 ÷ 3 + 11.

PEMDAS says parentheses first

5(3)^2 ÷ 3 + 11.

Then exponents

5 (9)÷ 3 + 11.

Multiply and divide from left to right

45 ÷ 3 + 11

15 +11

26

Answer:

About 3.7 times or 4 times.

Step-by-step explanation:

6.14 x 10 - 3 = 61.4-3

61.4 - 3 = 58.4

1.98 x 10 - 4 = 19.8 - 4

19.8 - 4 = 15.8

58.4 ÷ 15.8 = 3.696202531645569620253164556962‬ ≈ 3.7 times

Answer:

See below.

Step-by-step explanation:

A(x) = x^2 + 5x

A(x) = x^2 + 5x = 14

x^2 + 5x - 14 = 0

(x + 7)(x - 2) = 0

x + 7 = 0  or  x - 2 = 7

x = -7 or x = 2

x is the height of a rectangle.

The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.

The only viable solution for the height is x= 2, because height cannot be a negative value.

A rectangle is a quadrilateral with four right angles.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]

Given,

Area of the rectangle = [tex]x^{2} +5x[/tex] = 14

Then,

[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]

Therefore x = -7 and 2

But the Height cannot be negative therefore x = 2

Hence, only viable solution for the height is x= 2, because height cannot be a negative value.

Learn more about Rectangle, Area and Quadratic equation here

https://brainly.com/question/12555839

#SPJ2

Answer:

BMI = 26.1

Step-by-step explanation:

The body mass index is given by the below formula as :

[tex]BMI=\dfrac{705\times W}{H^2}[/tex]  

Here,

W is the weight of a person in pounds and H is height measured in inches.

If height of a person is 6 feet 3 inches, it means its height is 75 inches. Its weight is 209 pound.

So, plugging all values we get ,

[tex]BMI=\dfrac{705\times 209}{(75)^2}\\\\BMI=26.1[/tex]

So, the body mass index is 26.1.

Answer: C 32

Step-by-step explanation:

Answer:

C 32

Step-by-step explanation:

Answer:

The answer is  2

Step-by-step explanation:

log

3(

9)

3  to what power is equal to  9?

Since 3^2=

9,

log

3

(

9)=2

Hope this helps!

Please mark brainliest :)

Answer:

The one in the upper left corner

Step-by-step explanation:

it is a good equation and the wording matches the problem

Answer:

The answer is A

Step-by-step explanation:

This figure is a cylinder and the surface area formula of a cylinder is 2 pi rh + 2pi r^2

Hey!!!

Here's your answer:

Hope it will help u.

Answer:

36°.

Step-by-step explanation:

To find this, we will simply need to know that the sum of the angles of a triangle is 180°. This means that in order to find the measure of the third angle, we will need to subtract the others from 180°.

180 - 99 - 45 = 36°.

The measure of the third angle is 36°.

Answer:

4,000 yards

Step-by-step explanation:

2,000 ft * 6 days = 12,000 feet ran in total

Conversion: 3 feet = 1 yard

12,000 ft = 4000 yards

Answer:

-3

Step-by-step explanation:

i added up all the numbers then divided by how many numbers there was with what i got by adding them up

Answer:

The mean is -3

Step-by-step explanation:

1 -6 -6 -7 0 -5 3 -4

To find the mean you add up all the numbers and divide by the number of numbers

(1 -6 -6 -7+ 0 -5+ 3 -4)/8 =(-24)/8 = -3

Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I

Step-by-step explanation:

8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.

9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.

10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So,  b will also equal 70 degrees.

Part B:

1. G

2. J

3. F

4. E

5. B

6. A

7. H

8. C

9. D

10. I

Answer:

it is just 64-18=48

Step-by-step explanation:

you have to just keep 64 the same and do the 9*2. And sum those outcomes.

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Answer:

A and B

Step-by-step explanation:

The lines are both in slope intercept form:

y=Mx+b

Where m is the slope and b is the y intercept.

We have 2 lines:

y=1/3x+3

y=1/3x-2

1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.

Therefore, A: the same slopes and B: parallel lines is correct.

In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2

Answer:

(x+8)(x+8)

Step-by-step explanation:

Assuming x2 is x^2

(x+8)(x+8) = x^2 + 16x + 64

Continuation

The Zeros Would Be

x = -8

Step-by-step explanation:

The table is not given, but

The Probability that he selects a prime number = (number of prime number) ÷ (total number of all cards)

And

The probability of selecting a 1 = (total number of 1's)÷(total number of all numbers in the deck).

5/3

Step-by-step explanation:

take the 3 then add it again then you add 3 and get 5/3

Answer:

62400

Step-by-step explanation:

Lets ignore everything above 394 because those numbers are the only ones we are focusing on right now.

94 is not less than 50

94 is bigger than or equal to 50

Round up:

394 ---> 400

= 62,400

Answer:

62,400

Step-by-step explanation:

You would round 90 to the nearest hundred which is 400

Answer:

25% is .25

75% is .75

20% is .2

100% is 1

37.5% is .375

62.5% is .625

87.5% is .875

12.5% is .125

Step-by-step explanation:

Remember DeeP

D.     __.     ____           P

Decimal.                    Percent

You move over two decimal places to the left if you want to convert 35%, which is .35.

You move over two decimal places to the right if you want to convert .45 which is 45%.

Answer:

c approximately equals 3.31

Step-by-step explanation:

Answer:it has two

Step-by-step explanation: x =(3-√89)/4=-1.608

x =(3+√89)/4= 3.108

Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula: so the answer is B

Step-by-step explanation:

Answer:

Your answer is going to Be b

Answer:

The answer is 17/20

Step-by-step explanation:

idk

Answer (*shrugs*):

Red = 1/5

Green = 9/20

Blue = 1/5