A hurricane was detected in the Atlantic around 5 a.m. The National Weather Service determined that it will make landfall at a location described by a vector with components [3, 7]. Around 6 a.m. on the same path, the hurricane is 1/10 the total distance from where it was detected initially to where it will make landfall.

If the hurricane is traveling on a straight path, what are the characteristics of the vector representing the path of the hurricane at 6 a.m.?

A) components: [0.30, 0.70], magnitude: 0.76
B) components: [0.30, 0.70], magnitude: 76
C) components: [30,70], magnitude: 0.76
D) components: [30,70], magnitude: 76

Answers

Answer 1

Answer:

The correct option is;

A) Components: [0.30, 0.70], magnitude: 0.76

Step-by-step explanation:

The given parameters are;

The path of the of the airplane at 5 a.m. given by The National Weather Service = [3, 7]

The location of the hurricane at 6 a.m. = 1/10 of the total distance between the point where it was detected to the point where it is predicted to make land fall

Therefore;

The components of the vector at 6.00 a.m. = 1/10 × [3, 7] = [0.3, 0.7]

The magnitude of the vector at 6.00 a. m. = √(0.3² + 0.7²) ≈ 0.76.


Related Questions

geometry triangles plz helpp

Answers

Okay for every triangle, the degrees have to add up to 180 degrees. For example, the triangle that has c,h and 92 degrees, have to add up to 180, which means you can subtract 92 from and 180 and you’ll get 88, and since you need to find out both C and H you can divide 88 by 2 and you’ll get 44, which therefore C and H equal 44! Now try to solve the rest!

The number of calories in Swiss cheese varies directly with the weight of the cheese. There are about 200 calories in 50 grams of Swiss cheese. Willie ate 70
grams of Swiss cheese. About how many calories did he eat?

Answers

Answer:

He ate about 4.6 of cheese

Step-by-step explanation:

Answer:

280 calories

Step-by-step explanation:

let's make a proportion: 50/70 = 200/x

cross multiply: 50 * x = 70 * 200

multiply: 50x = 14000

divide each side by 50: x = 280

answer is 280 calories

I hope this helped, please mark Brainliest, thank you!! :)

In the fraction 7/8 , the Numerator Denominator is 7.

Answers

There are many equivalent fractions to

7

8

;

here are a few:

14

16

,

21

24

,

49

56

,

28

32

Explanation:

7

8

is the simplest of the equivalent fractions.

Did you (perhaps) intend to ask for the equivalent decimal fraction of

7

8

In this case

7

8

=

7

×

125

8

×

125

=

875

1000

=

0.875

Determine the multiplicity of the roots of the
function k(x) = x(x + 2)3(x + 4)2(x − 5)4.

Answers

Answer:

1,3,2,4

Step-by-step explanation:

The general form of an parabola is 4y2+40y+3x+103=0. What is the standard form of the parabola?

Answers

9514 1404 393

Answer:

  x = -4/3y² -40/3y -103/3

  x = -4/3(y +5)² -1

Step-by-step explanation:

Solve for x.

  x = (4y² +40y +103)/(-3)

  x = -4/3y² -40/3y -103/3 . . . . 'standard form' in the US

__

Taking our clues from the graph*, we can write the vertex form equation as ...

  x = -4/3(y +5)² -1 . . . . . . 'standard form' in other places

_____

* The vertex is (-1, -5), so for some leading coefficient, the equation will be ...

  x = a(y -(-5))² +(-1) = a(y +5)² -1

The value of 'a' is the scale factor. Here, that is the difference between the parabola value (x = -2 1/3) and the vertex value (x = -1) one unit away from the vertex.

Answer:

The answer is [tex](y+5)^{2} =-\frac{3}{4} (x+1)[/tex]

Step-by-step explanation:

I actually don't know the step by steps myself, so I just searched on

Please I need help with #2

Answers

It’s a blank screen attached ...

Write the slope intercept form of the equation of the line that passes through the points (0, 3) and (1, −3)

Answers

Answer:

The slope is 6-1

Step-by-step explanation:

the y intercept is 3

PLEASE HELP! THANKS!!

Answers

X=12 because I said so and I’m smart

The ratio of the perimeter of a square to the length of a rectangle is 5:6.
The ratio of the length to the width of the rectangle is 3:2.
The perimeter of a rectangle is 60cm.
Find the area of the square.​

Answers

Answer:

=225/16cm^2

Step-by-step explanation:

Given

The ratio of the length to the width of the rectangle =3:2.

The perimeter of a rectangle = 60cm.

Solution

Let length=3x

width=2x

Perimeter of rectangle=2(length + width)

2(3x+2x)=60

5x*2=60

10X=60

X=60/10

X=6

SO LENGTH =3×6=18cm

WIDTH=2×6

=12cm

Let perimeter of the square=5x

Length of rectangle=6x

6x = 18

X=18/6

X=3

SO PERIMETER OF SQUARE=5×3

4SIDE=15

Side=15/4

Area of square=15/4×15/4

=225/16cm^2

Match the values with the equivalent percentages.

Answers

20% of 50 = 10 , 45% of 200 is 90. 35, 2 4.5

Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items. What is the total amount she earned over these three days? $ Day Item Price 1 Sofa Chair $350 N Loveseat $500 3 Couch $1,200​

Answers

Answer:

Step-by-step explanation:

46.75 - 0.10(46.75) = 46.75 - 4.675 = 42.075 rounds to 42.08

ur simply taking ur discounted price of $ 46.75 and subtracting 10% of 46.75....leaving u with a final price of 42.08

Answer: 614

Step-by-step explanation:

because i did it on edge 2020

What is the slope of the line that contains these points?
x 9 13 17 21
y -24 -21 -18 -15

Answers

Answer: m=3/4

Step-by-step explanation:

Looking at the table given, we can assume two of the points are (9,-24) and (13,-21). To find the slope with given points, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We can plug the two points in and solve.

[tex]m=\frac{-21-(-24)}{13-9} =\frac{3}{4}[/tex]

Now, we know that the slope is 3/4.

Answer:

slope = 3/4

Step-by-step explanation:

HELP PLEASE. Will mark brainiest

Find the common difference of the sequence shown.
1/6, 1/3, 1/2, 2/3

Answer choices
1.) 1/12

2.) 1/6

3.) 1/3

Answers

Answer:

+ 1/6

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRIANLEIST

Answer:

1/6

Step-by-step explanation:

what is 2(3x – 4) = 8x – 4 – 2x.

Answers

Answer:

no solution

Step-by-step explanation:

2(3x - 4) = 8x - 4 - 2x

combine like terms

6x - 8 = 6x - 4

0 = 4

Christina biked 36 miles in 6 hours. If she biked at a constant speed, how many miles did she ride in one hour?

Answers

Answer:

6 miles in 1 hour

Step-by-step explanation:

Answer:

6 miles

Step-by-step explanation:

36 ÷ 6 = 6

Diego has written a feature story about a drumming circle. What should he include in his visual presentation to interest the audience in the drumming experience? (3 points)

A lecture from one of the drummers
A podcast of a drumming session
A slideshow with a bulleted list about the benefits of drumming
A video of a drumming session

Answers

Answer:

A video of a drumming session.

Answer:

D. A video of a drumming session

Explanation:

A presentation can be defined as an act of talking or speaking formally to an audience in order to explain an idea, piece of work, project, and product with the aid of multimedia resources or samples.

Basically, any speaker who wishes to create an effective presentation should endeavor to interact frequently with the audience by holding a conversation and using a multimedia resource.

In this scenario, Diego has written a feature story about a drumming circle. Thus, what he should include in his visual presentation to interest the audience in the drumming experience is a video of a drumming session.

Generally, they say action speaks louder than words, and people often believe what they can see.

Two competing sports equipment suppliers sell footballs at different prices. Supplier A charges $85 in shipping, and charges $2.59 per football. Supplier B charges $50 shipped, and charges $4.29 per football. A school wants to buy 40 balls.
What is the equation for supplier A? Answer:

What is the equation for supplier B? Answer:

Which supplier has the lowest average cost per ball? Answer:

Answers

Supplier A: $188.6
Supplier B: $221.6

I hope I helped but I honestly have no idea if I did. Anyway sorry if I didn't. Good luck.

The equation for supplier A and supplier B will be y = 2.59x + 85 and y = 4.29x + 50, respectively. Supplier A has the lowest average cost per ball.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Footballs are sold at varying prices by two rival sports equipment vendors. Supplier A costs $85 for shipping and $2.59 for each football. Supplier B costs $50 for shipping and $4.29 per football. A school wants to purchase 40 balls.

Let x be the number of the football and y be the total cost.


The equation for supplier A will be given as,

y = 2.59x + 85

At x = 40, the value of 'y' is given as,

y = 2.59 × 40 + 85

y = $188.6


The equation for supplier B will be given as,

y = 4.29x + 50

At x = 40, the value of 'y' is given as,

y = 4.29 × 40 + 50

y = $221.6

Supplier A has the lowest average cost per ball.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Hii please answer really easy xx

Answers

Answer:

Step-by-step explanation:

find only for x or?

Is there a series of rigid transformations that could map TriangleKLP to TriangleQNM? If so, which transformations? No, TriangleKLP and TriangleQNM are congruent but TriangleKLP cannot be mapped to TriangleQNM using a series rigid transformations. No, TriangleKLP and TriangleQNM are not con gruent. Yes, TriangleKLP can be reflected across the line containing KP and then translated so that P is mapped to M. Yes, TriangleKLP can be rotated about P and then translated so that L is mapped to N.

Answers

Answer:

C. Yes, Triangle KLP can be reflected across the line containing KP and then translated so that P is mapped to M

Step-by-step explanation:

2020 EXAM

Answer: C

Step-by-step explanation:

Yes, TriangleKLP can be reflected across the line containing KP and then translated so that P is mapped to M.

someone please help me:/

Answers

Answer: P

Step-by-step explanation:

Answer:

Q

Step-by-step explanation:

The sqrt of 8 is 2.82842712475 and Q is the closest to that.


PLSS HELP with 1 3 and 4

Answers

Answer:

1.) slope is 6

2.) slope is -4

4.)slope is undefined

Step-by-step explanation:

1.) For one we can use the equation y2-y1/ x2-x1

First, pick any 2 points that you want to use to plug into the equation

(0, -3) and (1, 3)

Next, plug in and solve!

3-(-3)/ 1-0= 6

The slope is 6

2.) We can use this same equation for the problem and plug in!

(-1, 5) (2,-7)

-7- 5/ 2-(-1)= -4

The slope is -4!

4.) Use the same equation and find the slope!

(8, 1) and (8, 2)

2-1/ 8-8= undefined

Because we cannot divide by a 0 the slope is undefined!

PLEASE HELP ME!! THANK YOU!!

Answers

I think it’s 4,6,8,10
The Same Answer so when it is^

Which angles are supplementary angles?

Answers

Answer:

∠HGD and ∠FGD

Step-by-step explanation:

supplementary means they add up to 180 (straight line)

Answer:

D) Angle DGH and Angle FGD

Step-by-step explanation:

We observe that Angle DGH and Angle FGD form a linear pair and hence, are supplementary.

PLEASE HELP PLEASE HELP

Answers

Answer:

Step-by-step explanation:

2x^3+x^2-8x-4

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


- Write an equation of the line that passes through (2, -1) and (-3, 3).

Answers

9514 1404 393

Answer:

  y = -4/5x +3/5

Step-by-step explanation:

The 2-point form of the equation for a line can be useful.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (3 -(-1))/(-3 -2)(x -2) -1

  y = 4/(-5)(x -2) -1

  y = -4/5x +8/5 -1

  y = -4/5x +3/5

If the distance from 0 to x on a number line is equal to 5 then -5+ X equals 0.

Answers

it is equal to zero

Step-by-step explanation:

because in number line there are positive and negative sides

10 + 2a = - 18 please give an explanation as that's all I'm really looking for :)

Answers

Answer:

a=-14

Step-by-step explanation:

10+2a=-18

subtract 10 from 10 and -18

2a = -28

then devid by 2 from 2 and -28

a=-14

whats the circumference of a circle if the radius is 1.5 show your work

Answers

Answer:

Step-by-step explanation:

C=2πr

C=2×π×(1.5)

C=3π

But=22/7

Therefore C=3×22/7

C=9.43

Brooke has $50 in a savings account that earns 5% interest, compounded annually. To the nearest cent, how much interest will she earn in 3 years?

Answers

Answer:

7 $ and 50 cents

Step-by-step explanation:

Answer:

total amount= $57.88 or intrest = $7.88

Step-by-step explanation:

amount= principal (1 + intrest in decimal)^time

amount = 50 (1 = .05) ^ 3

subract the principal to find the intrest.


Joshua rented a movie for $4.49 from Cinema Rentals. If the movie is not returned on the due date, Cinema Rentals charges an
additional $2.25 a day until the movie is returned. If Joshua returns the movie x days after its due date, which of the following
functions represents the total cost, R(x), he paid for the movie rental?

Answers

Answer:

R(x) = 2.25x + 4.49

Step-by-step explanation:

Equation form: R(x) = mx + b

m: represents the additional amount Joshua is charged for every day until he returns the movie, which in this case is $2.25. So, the value of m is 2.25.

b: represents the initial cost of renting the movie. Joshua rented the movie for $4.49, so b is 4.49.

Since we know the value of m and b, we can write the equation:

R(x) = 2.25x + 4.49

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