X + y = -3 & 5x - 2y = -50 ELIMINATION

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

yuradex [85]

Answer:

See Below.

Step-by-step explanation:

Part 1)

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

Since it doubles every year, we can let b = 2.

Hence, our equation is:

$y=1200(2)^t$

Where t 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 t = 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 t = 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 t = 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 t indicates the time in years since the coral was starting to be measured, negative values of t indicates the time in years before the coral was starting to be measured.

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

Part 4)

We can set y = 37.5 and solve for t. 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 before 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.

5 0

3 years ago

Find the value of x and the length of each chord.

Mazyrski [523]

Answer:

-50

Step-by-step explanation:

4 0

3 years ago

Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $22.22 per hour by the store. I

Ede4ka [16]

Answer:

Hey,

so if she works for seven hours at both jobs then we multiply how much she gets paid per hour times seven or 22.22*7=155.54 and 13.55*7=94.85. Then we add what is underlined, 155.54+94.85= our answer which is 250.39 per day.

Wbob1314 hope it helped

6 0

3 years ago

Read 2 more answers

Luke shaded 20 squares on his hundreds grid Bella shaded 30 squares on her grid what two decimals are greater than Luke's decima

DanielleElmas [232]

I think it could be any 2 in between because it says greater than Luke's decimal which is .20 and less than Bekkas decimal which is .30

5 0

3 years ago

Read 2 more answers

A city planner is studying the need for affordable housing in the city's Urban Planning Department. He learned from the census o

goldfiish [28.3K]

Answer:

Population = 75,342 households

Sample = 400 randomly selected households

The percentage who live in a single household unit = Parameter

The average of 2.9 person per household of all households in the city = parameter

The $65,000 median family income of all the households in the city = Parameter

Step-by-step explanation:

The population refers to all the entire elements, observations or subject which fits into a particular study. In the scenario above, the entire household in the city of study. That is, the 75,342 households.

The sample is the subset of the population which is a smaller set of observation meant to be representative of the larger population. The sample here is the 400 randomly selected households.

Parameter differs from statistics in that numerical estimates or calculations obtained from the population is called the parameter while the numerical characteristics derived from the sample is called statistic.

6 0

3 years ago