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3 years ago

X3=−216 Enter your answer in the box. x =

Mathematics

2 answers:

larisa86 [58]3 years ago

6 0

X^3 = - 216

We know, (-6) x (-6) x (-6) = -216

So x = -6

Romashka-Z-Leto [24]3 years ago

3 0

Answer:

-72

Step-by-step explanation:

First, you do is divide by 3 from both sides of an equation.

\frac{x*3}{3}=\frac{-216}{3}

Then, you divide by the numbers from left/right.

-216/3= -72

I hope this helped!

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On number is three more than three times another. Their sum is -5. Find the numbers

mina [271]

Answer:

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Step-by-step explanation:

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3 years ago

The sum of two consecutive numbers is 89. What are the two numbers? A. 43 and 46 B. 44 and 45 C. 38 and 51 D. 45 and 46

Nina [5.8K]

Answer:

Step-by-step explanation:

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3 years ago

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species

kotegsom [21]

Answer:

$P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}$

Step-by-step explanation:

The logistic equation is the following one:

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that $P(0) = 80, K = 2000$ .

The number of fish tripled in the first year. This means that $P(1) = 3P(0) = 3(80) = 240$ .

Using the equation for P(1), that is, P(t) when $t = 1$ , we find the value of r.

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

$240 = \frac{2000*80e^{r}}{2000 + 80(e^{r} - 1)}$

$280*(2000 + 80(e^{r} - 1)) = 160000e^{r}$

$280*(2000 + 80e^{r} - 80) = 160000e^{r}$

$280*(1920 + 80e^{r}) = 160000e^{r}$

$537600 + 22400e^{r} = 160000e^{r}$

$137600e^{r} = 537600$

$e^{r} = \frac{537600}{137600}$

$e^{r} = 3.91$

Applying ln to both sides.

$\ln{e^{r}} = \ln{3.91}$

$r = 1.36$

This means that the expression for the size of the population after t years is:

$P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}$

4 0

3 years ago

A parking lot is 75 feet wide and 90 feet long. What is the cost of paving the lot with concrete at $3.50 per square yard?

g100num [7]

This question is super simple when you sit down and think about what it's asking. What is the cost of the whole paving lot?

We know that the paving lot is 90 ft by 75 ft, we need to start by finding the area of the whole paving lot.

Area of a rectangle is Length multiplied by Width.

90 × 75 = 6,750

The area of the paving lot is 6,750 feet squared.

Now we need to find the cost of the paving lot, we know that one square yard costs $3.50 to pave.

We can solve this by first taking the step to finding how many yards are in the paving lot.

A yard is 3 feet so we'll divide the area of the paving lot by 3.

6,750 ÷ 3 = 2,250

With the paving lot having 2,250 square yards we can now multiply this by the $3.5 cost per square yard.

2,250 × 3.5 = 7,875

It should cost $7,875 dollars to pave the entire lot.

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3 years ago

Solve a a-20=b a= plzz help

saveliy_v [14]

In order to have the variable by itself you have to add 20 to both sides. So your answer would be a=b+20. I hope this helps love! :)

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3 years ago