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
In-s [12.5K]
2 years ago
6

Alright, everyone. I'm betting in a lot amount of points and I really need someone to help me out here. It would bring lots and

lots of weight off my shoulders.

Mathematics
1 answer:
yuradex [85]2 years ago
5 0

Answer:

See Below.

Step-by-step explanation:

Part 1)

Since the coral structure has an initial volume of 1,200 cubic centimers, <em>a</em> = 1200.

Since it doubles every year, we can let <em>b</em> = 2.

Hence, our equation is:

y=1200(2)^t

Where <em>t</em> is the time in years since the coral was measured.

Part 2)

Evaluate each value:

y(5)=1200(2)^5=38,400\text{ cm}^3

When <em>t</em> = 5, or after five years, the volume of the coral structure is 38,400 cubic centimeters.

y(1)=1200(2)^1=2,400\text{ cm}^3

When <em>t</em> = 1, or after one year, the volume of the coral structure is 2,400 cubic centimeters.

y(0)=1200(2)^0=1, 200\text{ cm}^3

When <em>t</em> = 0, or during the initial year, the volume of the coral structure is 1,200 cubic centimeters.

And:

\displaystyle y(-1)=1200(2)^{-1}=\frac{1200}{2}=600\text{ cm}^3

\displaystyle y(-2)=1200(2)^{-2}=\frac{1200}{4}=300\text{ cm}^3

Part 3)

In this case, since positive values of <em>t </em>indicates the time in years since the coral was starting to be measured, negative values of <em>t</em> indicates the time in years before the coral was starting to be measured.

We acquired that <em>y</em> = 300 when <em>t</em> = -2. So, this means that two years <em>before </em>the coral was starting to be measured, the volume of the coral was 300 cubic centimeters.

Part 4)

We can set <em>y</em> = 37.5 and solve for <em>t</em>. Hence:

\displaystyle 37.5=1200(2)^t

Divide both sides by 1200:

\displaystyle \frac{37.5}{1200}=\frac{375}{12000}=\frac{1}{32}=2^t

Notice that:

\displaystyle \frac{1}{32}=\frac{1}{2^5}=2^{-5}=2^t

Same bases must have the same exponents. Hence:

t=-5

So, five years <em>before</em> the coral was being measured, the volume of the coral was 37.5 cubic centimeters.

Since the initial volume was 1,200 and it grows each year, it can only be 37.5 before the initial year, so our answer makes sense.

You might be interested in
(01.01 MC)Which number line shows the solution to 4 + (−4)?
Rasek [7]

The solution to the statement 4 + (-4) is correctly given by the third number line.

  • The solution given by plot 1 is : (-4) + (-4) as both arrows points 4 units to the left.

  • The solution given by plot 2 is : ( 4 + 4) as both arrows points 4 units to the right.

  • The solution given by plot 3 is (4) + (-4) as one arrow points 4 units to the left and the other points 4 units to the right.

  • The solution given by the plot 4 is (-4 + 8) as one arrow points 4 units to the left and the other points 8 units to the right.

Therefore, the Number line which shows the solution 4 + (-4) is the third number line.

Learn more :brainly.com/question/16191404

6 0
3 years ago
What's the expanded notation for 876,543,210.25?
Sunny_sXe [5.5K]
800,000,000.00+70,000,000.00+6,000,000.00+500,000.00+40,000.00+3,000.00+200.00+10.00+0.00+0.20+0.05
7 0
2 years ago
Read 2 more answers
PLEASE HELP!!!!!<br> will mark brainliest!!!!!
expeople1 [14]

Answer:

fx =1; then fx =2; then fx =4

Step-by-step explanation:

then plug the coordinates in as x is horizontal bar in top right then the fx

6 0
2 years ago
Read 2 more answers
Find the length of diagonal AV in a three dimensional figure.​
coldgirl [10]

Although I'm going to answer this question, I have to point out that this problem is NOT stated clearly. The problem being we don't know if angle AMV is a right angle.

But I'm assuming it is and thus we need to use the Pythagorean theorem.

AV=\sqrt{5^2+12^2}

AV=13

Therefore answer is C. :D

8 0
3 years ago
Express 10 billion in scientific notation
vladimir1956 [14]

Answer:

1 x 1010

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 7 minus x squared when x is less t
    5·1 answer
  • Which operation should you perform first when evaluating the expression 3²+ 2​
    9·2 answers
  • If someone finished watching a movie at 1:10 pm and the movie was 1 hour and 38 minutes long what time did the movie start
    5·2 answers
  • A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new
    5·1 answer
  • Find the midpoint of segment EF if E (5,-2) F(1,-8) URGENT
    13·1 answer
  • Henry received $500 for his birthday which he intends to invest in an account that pays simple interest at the rate of 12% per y
    9·1 answer
  • truck has 5 crates of apples. Each crate has an equal number of apples. Altogether, the truck is carrying 5,460 apples. How many
    15·1 answer
  • The sides of a quadrilateral ABCD move at a point speed of 2 centimeters per second. How long will it take to get around the who
    13·1 answer
  • ) What is the Diameter of a circle that has a Radius of 5in? <br>​
    8·1 answer
  • HELP MEEEEEEEEEEEEEEEE
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!