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
VashaNatasha [74]
3 years ago
7

A report by the US Geological Survey indicates that glaciers in Glacier National Park, Montana, are shrinking. Recent estimates

indicate the area covered by glaciers has decreased from over 25.5 km2 in 1850 to about 16.51 km2 in 1995. Let A=f(t) give the area (in square km) t years after 2000, and assume f(t)=16.2−0.062t.a. Find and explain the meaning of the slope. Which statement best explains its significance? A. The total area covered by glaciers is increasing by 0.062 km2 every year B. The total area covered by glaciers decreased by 16.2 km2 from 1850 to 2000 C. The area covered by glaciers is decreasing by 62,000 m2 every year. D. The area covered by glaciers is decreasing by 16.2 km every year E. The area covered by glaciers is decreasing by 62 m every year F. None of the aboveb. Find and explain the meaning of the A-intercept. Which statement best explains its significance? A. The total area covered by glaciers will decrease by 0.062 km from 2000 to 2001. B. The area covered by glaciers in 2000 was 16.2 km^2 C. The total area covered by glaciers decreased by 16.2 km2 from 1850 to 2000 D. The area covered by glaciers in 2000 was 0.062 km E. The area covered by glaciers is decreasing by 16.2 km2 every year F. None of the above.c. For both expressions listed below, enterthe letter A-E of the statement which best explains their practical meaning. There are extra, unused statements.1. ____________: f(t)= 12 then t is2. ____________: f(12) isA. How much area wi be covered by glaciers in 12 years B. The number of years after 2000 that the amount of glacier area that has disappeared is 12km^2 C. The number of years after 2000 that the total area covered by glaciers will be 12 km D. The amount of glacier area that disappears in 12 years. E. How much area will be covered by glaciers in 2012.d. Evaluate f(12):________e. How much glacier area disappears in 12 years?f. Solve f(t) =12 .t = _________-(round your answer to one decimal place)
Mathematics
1 answer:
postnew [5]3 years ago
8 0

Answer

a) C

b) B

c) C, E

d) 15.5

e) 0.7

f) 67.7

Step-by-step explanation

a) A linear equation can be written as y=mx+c where m is the slope and c is the intercept on the y-axis. The slope describes how y changes when x changes. A negative value means the it is a decreasing change. In our case, y is A and x is t. Thus, the slope of the equation is m=-0.062. This means that the area of glacier is decreasing by 0.062 \text{km}{}^2 = 62000 \text{m}{}^2 every year since 2000.

b) The A-intercept (= 16.2 \text{km}{}^2) represents the area covered when t=0. But t=0 starting from year 2000. This intercept then represents the area covered by glacier in the year 2000. Therefore, the area covered by glacier in 2000 was 16.2 \text{km}{}^2.

c) A=f(t) means the area covered after year 2000. Setting it to 12 means the area covered after t years is 12 \text{km}{}^2). t is therefore the number of years since 2000 that the total area covered will be 12 \text{km}{}^2).

d) f(12)=16.2−0.062\times12 =16.2-0.744 = =15.456 15.5 \text{km}{}^2 to 1 decimal place.

e) The term involving t represents the disappearing area. In 12 years, the disappeared area is 0.062\times12=0.744 =0.7 \text{km}{}^2 to 1 decimal place.

f) f(t)=16.2−0.062t =12

0.062t = 16.2-12 = 4.2

t = \dfrac{4.2}{0.062}=67.7419\ldots =67.7 years to 1 decimal place.

You might be interested in
PLEASR HELP MEEEE ASAP​
Naddika [18.5K]

Answer:

A: Yes, I agree. Why? Because if you look at the shape, its a triangle right, and a triangle both sides are equal, while the bottom line is not. But because both sides are equal, and half of the triangle is MPN and the other side is QPN, they both are congruent (or equal to)

B: Like I said, both MPN and QPN are both equal, and if you remove the P, it would still be the same because the shape has not changed.

I hope I helped :)

8 0
2 years ago
(6) Find a and b as well as the ratio c:d in the<br> figure below.
polet [3.4K]

Answer:

i have a Similar question I’m stuck on, just remember z rule, vertically opposite etc.

6 0
3 years ago
A conference planner has put together 280 binders for attendees and another 31 binders for presenters.how many total binders did
Ede4ka [16]

Answer:

311

Step-by-step explanation:

280 + 31 = 311

3 0
3 years ago
1. Consider the figure below.
Illusion [34]

Answer:

  • A triangle sums to 180
  • x-48+2x-164+x= 180
  • 4x-212=180
  • x= 90
  1. m<A= 16
  2. m<M=90
  3. m<N= 52
  4. Right Triangle
  5. Give brainlist
  6. I do exams and quizzes
7 0
2 years ago
Write the prime factorization of 6. Use exponents when appropriate and order the factors from least to greatest (for example, 2²
Gala2k [10]

Answer:

prime factorization of 6: 2x3

Step-by-step explanation:

to find the prime factorization of any number Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

6 0
3 years ago
Other questions:
  • For trapezoid ABCD, E and F are midpoints of the legs. Let GH be the median of ABFE. Find GH.​
    12·1 answer
  • How many lines of reflection does a square have?
    15·2 answers
  • Which simulation could NOT be used to simulate a baby being born male or female?
    15·2 answers
  • Travis, Jessica, and Robin are collecting donations for the school band. Travis wants to collect 20% more than Jessica, and Robi
    10·1 answer
  • Help me please!!! I really need it!
    6·1 answer
  • Park rangers at a game preserve in Africa observed a cheetah run 3
    7·1 answer
  • What is 1/3 divided by 5?
    12·2 answers
  • Scott Disick is known for his club scene. Although he is optimistic about the nightlife in Philly, he is more of a NYC guy when
    13·1 answer
  • Solve x - 4 + 6 = 13 please help ASAP
    5·2 answers
  • Does someone mind helping me with this problem? Thank you!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!