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Marina CMI [18]
3 years ago
9

How many ways can 4 letters from papaya be arranged

Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

Answer:

There would be 2 ways I would think because you can spell it with the same letters if that makes sense

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The curve with the equation y=8x^2 + 2/x has one turning point.
anyanavicka [17]

Answer:

(1/2, 6).

Step-by-step explanation:

Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.

We have:

\displaystyle y=8x^2+\frac{2}{x}

Take the derivative of both sides with respect to x:

\displaystyle y^\prime=16x-\frac{2}{x^2}

Simplify:

\displaystyle y^\prime=\frac{16x^3-2}{x^2}

We will now set this equal to 0 and solve for x. Hence:

\displaystyle \begin{aligned} 0&=\frac{16x^3-2}{x^2} \\ 0&=16x^3-2 \\ 2&=16x^3 \\ \frac{1}{8}&=x^3 \\ \frac{1}{2}&=x \end{aligned}

Hence, the graph turns at x=1/2. This is the x-coordinate.

Then it follows that the y-coordinate will be:

\displaystyle{\begin{aligned} y&=8(\frac{1}{2})^2+\frac{2}{\frac{1}{2}} \\ y&=8(1/4)+2(2) \\ y&=2+4 \\ y&=6\end{aligned}

Hence, our coordinate Is (1/2, 6).

8 0
3 years ago
Write the equation of the line containing the point (4, 6) and having a slope of 4 in slope-intercept form.
aleksandr82 [10.1K]
6 = 4(4) + c
c = - 10
y = 4x - 10
8 0
4 years ago
If it takes B hours to walk a certain distance at the rate of 3 miles per hour, the number of hours it takes to return the same
natita [175]

Answer:

It will take 0.75B hours for the return leg

Step-by-step explanation:

Here, given that the first leg of the trip was for B hours at 3 miles per hour , we want to calculate the number of hours the return leg will take at 4 miles per hour given that it is the same distance.

Mathematically, we know that ;

Distance = speed * time

So the distance taken on the first leg of the trip would be;

Distance = 3 miles per hour * B hours = 3B miles

Now, this distance was traveled on the return leg also.

This means that the time taken here will be;

Time on return leg = distance/speed = 3B/4 = 0.75B hours

5 0
3 years ago
I really need help with this question please someone help me
Radda [10]

\mathrm{Inverse\:of}\:\frac{7}{x}-9:\quad \frac{7}{x+9}

\mathrm{Inverse\:of}\:\frac{x}{6}+8:\quad 6x-48

\mathrm{Inverse\:of}\:5x-11:\quad \frac{x+11}{5}

\mathrm{Inverse\:of}\:2+\sqrt[3]{x}:\quad x^3-6x^2+12x-8

4 0
3 years ago
A monkey has a strict banana eating
daser333 [38]
Answer:
Any way the monkey eats minimum 12 banas on each day of 8 days amointing=12*8=96 bananas

Excess bananas eaten=112–96=16

Monkey eats 8 bananas more on sunny days

number of sunny days=16/8=2 days

Number of sunny days in these 8 days=2 days

8 0
2 years ago
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