1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fredd [130]
3 years ago
13

The chain of the Hawaiian Islands can be used to calculate the rate of movement of the Pacific Plate over the last few million y

ears. The island of Hawaii currently sits on the hot spot, and is therefore 0 million years old. The island of Kauai used to sit on the hot spot; it is approximately 5.1 million years old and is now approximately 473 km away from the hot spot, to the northwest. Given these parameters, what is the average rate of motion of the Pacific Plate in centimeters per year?
Mathematics
1 answer:
klasskru [66]3 years ago
7 0

Answer:

9.28 × 10⁻⁴ cm/year.

Step-by-step explanation:

Let d(t₀) represent the initial position of Kauai island = 0 km from the hot spot. at time t = 0 million years. Let d(t₁) represent its final position at time t₁ = 5.1 million years later in the North - west direction. d(t₁)=473 km = 4.73 × 10³ cm. The average speed v = total distance/ total time =[d(t₁) - d(t₀)]/t₁₋t₀ = (4.73 × 10³ - 0)/(5.1 × 10⁶ - 0) =  4.73/5.1 × 10³⁻⁶ = 9.275 × 10⁻⁴ cm/year ≅ 9.28 × 10⁻⁴ cm/year

You might be interested in
I have just one more for ya. I hate algebra, but I am doing my best to learn just enough of it to pass. Thanks! Factor by groupi
zhuklara [117]
X^2(x-3)+2(x-3)
(x^2+2)(x-3)
7 0
3 years ago
Read 2 more answers
It costs you $25.00 to enter an amusement park and $2.00 per ride. Express the cost to you of using the rides as a function of t
Sever21 [200]

Answer:

Step-by-step explanation:

If it cost 25 to get in you only have a dollar so you can only ride 4 rides because 4 quarters equals 1.00

6 0
3 years ago
For the following problem, assume that all given angles are in simplest form, so that if A is in QIV you may assume that 270° &l
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

Given that angle A is in IV quadrant

So A/2 would be in II quadrant.

sin A = -1/3

cos A = \sqrt{1-sin^2 A} =\frac{2\sqrt{2} }{3}

(cos A is positive since in IV quadrant)

Using this we can find cos A/2

cosA = 2cos^2 \frac{A}{2} -1\\Or cos \frac{A}{2} =-\sqrt{\frac{1+cosA}{2} } =-\sqrt{\frac{3+2\sqrt{2} }{6} }

3 0
3 years ago
PLEASE HELP VERY URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
diamong [38]

Q1.  Look at the picture.

C.\\y=-\dfrac{1}{3}x+3\\\\y=2x-4

Q2. Look at the picture.

A.\ 4-t

Q3.

Put the value of x = 2 to the equation 3x + y = 5:

3(2)+y=5

6+y=5       <em>subtract 6 from both sides</em>

y=-1\\\\F.\ -1

Q4.

\left\{\begin{array}{ccc}n=3m-11&(*)\\2m+3n=0&(**)\end{array}\right

Substitute (*) to (**):

2m+3(3m-11)=0            <em>use distributive property</em>

2m+(3)(3m)+(3)(-11)=0

2m+9m-33=0       <em>add 33 to both sides</em>

11m=33      <em>divide both sides by 11</em>

m=3

Put the value of m to (*):

n=3(3)-11\\\\n=9-11\\\\n=-2

C. (3,\ -2)

Q5.

w - width

3w - length

24 in - the sum of length and width

The equation:

w+3w=24

4w=24           <em>divide both sides by 4</em>

w=6\ in

3w=3(6)=18\ in

J.\ 18\ inches


7 0
3 years ago
Read 2 more answers
Choose the system of equations that matches the following graph:
egoroff_w [7]
B but I am not 100% sure
7 0
3 years ago
Read 2 more answers
Other questions:
  • Leo wants to determine the average number of texts middle school students send in a day. Since all middle school students are en
    6·2 answers
  • What is the interquartile range of this data set? 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38
    6·1 answer
  • Bahir’s science class grew sunflowers for an experiment. The tallest sunflower grew to 2.387 meters. Bahir made a sketch of the
    5·1 answer
  • The width of a rectangle measures (6.8d-4.2)(6.8d−4.2) centimeters, and its length measures (9.2d+8.7)(9.2d+8.7) centimeters. Wh
    8·1 answer
  • In​ 2016, there were about 46 comma 500 cinema screens in a country. If about 32.6​% of the total screens in the country were di
    11·1 answer
  • WILL MARK BRAINLIEST!!!
    8·1 answer
  • 30-60-90 triangle..find the value of y ?
    8·1 answer
  • A distribution center for a chain of grocery stores has determined that the total amount of time (in hours) required to fill an
    9·1 answer
  • 13. The sum of four consecutive odd integers is 216. Which equation can
    5·1 answer
  • If 8.4 million baby boomers out of a total 76 million baby
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!