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3 years ago

How many feet of chain fence are necessary to I close a dog pen that is square and had an area of 64 square feet?

Mathematics

2 answers:

morpeh [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Luba_88 [7]3 years ago

3 0

Answer:

8 feet

Step-by-step explanation:

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HELP ME!!!!!!!<br> I BEG OF YOU PLZZZZZ!!!!!!!!!

natta225 [31]

Answer:

It seems that problem might have an error.

population = 600 * e ^ (.02*t) where e = 2.718281828459

So, at day 1 we have

day 1 population = 600 * 2.718281828459 ^(.02*1) = 32.62

day 2 population = 600 * 2.718281828459 ^(.02*2) = 88.67

We can see that the population doubles in less than one day but the lowest of those multiple choices is 34.657 days

Step-by-step explanation:

6 0

3 years ago

Solve the equation uding the most direct method: 3x(x+6)=-10?

Tanzania [10]

To solve this problem, you will use the distributive property to create an equation that can be rearranged and solved using the quadratic formula.

<h3>Distribute</h3>

Use the distributive property to distribute 3x into the term (x + 6):

$3x(x+6)=-10$

$3x^2+18x=-10$

<h3>Rearrange</h3>

To create a quadratic equation, add 10 to both sides of the equation:

$3x^2+18x+10=-10+10$

$3x^2+18x+10=0$

<h3>Use the Quadratic Formula</h3>

The quadratic formula is defined as:

$\displaystyle x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

The model of a quadratic equation is defined as ax² + bx + c = 0. This can be related to our equation.

Therefore:

a = 3
b = 18
c = 10

Set up the quadratic formula:

$\displaystyle x=\frac{-18 \pm \sqrt{(18)^2 - 4(3)(10)}}{2(3)}$

Simplify by using BPEMDAS, which is an acronym for the order of operations:

Brackets

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Use BPEMDAS:

$\displaystyle x=\frac{-18 \pm \sqrt{324 - 120}}{6}$

Simplify the radicand:

$\displaystyle x=\frac{-18 \pm \sqrt{204}}{6}$

Create a factor tree for 204:

204 - 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102 and 204.

The largest factor group that creates a perfect square is 4 × 51. Therefore, turn 204 into 4 × 51:

$\sqrt{4\times51}$

Then, using the Product Property of Square Roots, break this into two radicands:

$\sqrt{4} \times \sqrt{51}$

Since 4 is a perfect square, it can be evaluated:

$2 \times \sqrt{51}$

To simplify further for easier reading, remove the multiplication symbol:

$2\sqrt{51}$

Then, substitute for the quadratic formula:

$\displaystyle x=\frac{-18 \pm 2\sqrt{51}}{6}$

This gives us a combined root, which we should separate to make things easier on ourselves.

<h3>Separate the Roots</h3>

Separate the roots at the plus-minus symbol:

$\displaystyle x=\frac{-18 + 2\sqrt{51}}{6}$

$\displaystyle x=\frac{-18 - 2\sqrt{51}}{6}$

Then, simplify the numerator of the roots by factoring 2 out:

$\displaystyle x=\frac{2(-9 + \sqrt{51})}{6}$

$\displaystyle x=\frac{2(-9 - \sqrt{51})}{6}$

Then, simplify the fraction by reducing 2/6 to 1/3:

$\boxed{\displaystyle x=\frac{-9 + \sqrt{51}}{3}}$

$\boxed{\displaystyle x=\frac{-9 - \sqrt{51}}{3}}$

The final answer to this problem is:

$\displaystyle x=\frac{-9 + \sqrt{51}}{3}$

$\displaystyle x=\frac{-9 - \sqrt{51}}{3}$

3 0

2 years ago

John decided to start saving for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of

Vika [28.1K]

Fv=500×(1+0.04×3)+250×(1+0.04×2)+
250×(1+0.04×1)=560+270+260=1,090

7 0

3 years ago

State the solutions for the quadratic equation depicted in the graph.

anzhelika [568]

Answer:

(-4,0), (-3,0)

Step-by-step explanation:

The solution of a quadratic equation is simply when the graph crosses the x-axis. This is because at that point, the function will equal 0.

From the graph, we can see that the graph touches the x-axis at x=-4 and x=-3.

Therefore, our solutions for the graphed quadratic is x=-4 and x=-3.

And we're done!

7 0

3 years ago

32.697 rounded to nearest hundredth

katrin2010 [14]

Answer:

32.70 or just 32.7

3 0

3 years ago

Read 2 more answers