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3 years ago

Is there another way to write 2*(2/3)^n

2 answers:

8 0

$\bf 2\left( \cfrac{2}{3} \right)^n\implies 2\left( \cfrac{2^n}{3^n} \right)\implies \cfrac{2\cdot 2^n}{3^n}\implies \cfrac{2^{1+n}}{3^n}$

Leya [2.2K]3 years ago

7 0

Anther way to write it could be 1.2^n i think

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If the length of a rectangle is x-2 and its area is 2x3 – 8x2 + 2x+12, it’s width would be what?

hram777 [196]

Width would have to be a quadratic
Use long division to find the other factor of the cubic polynomial P (x).
P (x) factors in case it is reducible over R[x]
if it weren't then P (x) mod R [x] would be a field
otherwise you could use the Eisenstein Criterion.

6 0

3 years ago

suppose andrew slept for eight hours one night. Ten percent of his sleep hours were before mignight. What.time did andrew go to

m_a_m_a [10]

Answer: 11:12 PM.
explanation:
- 10% of 8 is 0.8. (10% is 0.1, and you multiply this by 8)
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6 0

3 years ago

Which of the following can be used to calculate the volume of water inside the fish bowl?

Lunna [17]

The volume of a sphere can be calculated as

$V=\frac{4}{3}\pi r^3$

Where r is the radius of the sphere

We want to calculate half of the volume, then we must divide that volume by 2

$V^{\prime}=\frac{1}{2}\frac{4}{3}\pi r^3$

Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then

$r=\frac{AB}{2}=\frac{12}{2}=6$

Let's put it into our equation

$\begin{gathered} V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(r)^3 \\ \\ V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)(\pi)(6)^3 \end{gathered}$

The problem says to use

$\pi\approx\frac{22}{7}$

Then

$V^{\prime}=\frac{1}{2}\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)(6)^3$

Final answer:

The formula that can be used to calculate the volume of water inside the fish bowl is

$V=\frac{1}{2}\left(\frac{4}{3}\right)\left(\frac{22}{7}\right)(6)^3$

8 0

1 year ago

Pete is using a recipe shown below to make fruit salad.He wants to use 32 diced strawberries in his fruit salad. How many banana

tatuchka [14]

8 strawberries : 32 strawberries
1:4
This is the Ratio so
5 bananas : 20 bananas
6 apples : 24 apples
2 pears : 8 pears
He should use 20 bananas , 24 apples and 2 pears.
:)

5 0

2 years ago

Which shows a perfect square trinomial?

Setler79 [48]

Answer:

Third choice.

Step-by-step explanation:

Trinomial means you have 3 terms.

You don't have 3 terms in first two choices so let's not look at them.

Anything of the form $a^2x^2+2abxy+ b^2y^2$ is a perfect square trinomial because it can be written as $(ax+by)^2$ .

Let's this this:

$(ax+by)^2$

$(ax+by)(ax+by)$

Now foil!

First=ax(ax)=a^2x^2

Outer=ax*by=abxy

Inner=by*ax=abxy

Last=by*by=b^2y^2

Add together and this gives you a^2x^2+2abxy+b^2y^2.

So looking at third choice you can write it as 4^2x^2+24xy+3^2y^2.

Is 2*4*3 equal to 24? If it is then you have your answer. It is.

We have our answer.

5 0

2 years ago