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]
3 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]3 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
Plz help me with this binary division whith full process/explanation 1001010 ÷ 101​
aivan3 [116]

Answer:

Step-by-step explanation:

Its like doing a long division with base 10 numbers:

           1110    <----------- Quotient

101)1001010

        101

         1000

            101

               111

                101

                  100

So the answer is 1110 remainder 100.

We can confirm this by converting to decimal numbers

1001010 = 74 and 101 = 5.

74 / 5 = 14 remainder 4.

3 0
3 years ago
property of real numbers that states that the order in which numbers are added or multiplied dose not change the value​
timurjin [86]

Answer:

"Commutative property of addition and of multiplication"

Step-by-step explanation:

This is the "commutative property" of addition and of multiplication. That as its name indicates tells us for additions, that if we add A + B, or B + A, we should get the same result. Similarly, the "commutative property" of multiplication tells us that if we perform the product A * B we should get the same answer as if we perform the product: B * A.

7 0
3 years ago
Which three side lengths best describe the triangle in the diagram?
Ksenya-84 [330]

The three side length that describes the triangle in the image attached below are: 5 cm, 12 cm, and 13 cm.

<h3>What is a Triangle?</h3>

A triangle is a shape that has three sides. The sides can be measured using a ruler.

The sides of the triangle in the image shown have side lengths as measured by the ruler beside each of the sides, which are 5 cm, 12 cm, and 13 cm.

Therefore, the three side lengths of the triangle in the diagram are: 5 cm, 12 cm, and 13 cm.

Learn more about triangle on:

brainly.com/question/2437195

#SPJ1

6 0
2 years ago
Please help me with this problem....5 stars 1 thanks and depending on how you answer brainiest.
Nutka1998 [239]

Answer:

\huge\boxed{Probability = \frac{1}{3} }

Step-by-step explanation:

Total Magazines = 3

Woman's Day = 1

Probability = No. of Favorable Outcomes  / Total no. of Outcomes

Probability = \frac{1}{3}

7 0
3 years ago
Read 2 more answers
How many times does 2 go into 64
Ghella [55]
The corect answer is 32
5 0
3 years ago
Read 2 more answers
Other questions:
  • If the endpoints of the diameter of a circle are (−14, 4) and (−2, 0), what is the standard form equation of the circle? a) (x −
    9·2 answers
  • Rewrite the equation in Ax+By=C form use integers for A.B. and C <br> Y+3=6(x-1)
    13·1 answer
  • What is 3 1/2*4 5/6?
    14·2 answers
  • An amount of $21,000 is borrowed for 15 years at 7.75% Interest, compounded annually. If the loan is paid in full at the end of
    6·1 answer
  • 8) Divide -2x^3 -5x^2 + 4x + 2 by x +2
    12·1 answer
  • How many significant figures are in the number 123.97​
    13·2 answers
  • What’s the answer guy in need it in 5 minutes
    7·1 answer
  • Based on a recent study, roughly 80% of college students in the U.S. own a smartphone. Is the proportion of smartphone owners lo
    13·1 answer
  • (1 + 9.8k)(2.8) simplified
    5·1 answer
  • Pls answer asap, thanks!!! (will mark brainliest)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!