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3 years ago

12

Derek’s family is planning a trip to Asia. If they want to visit each of the cities listed in the table at the right, in how man

y different orders can they do so? Beijing, Shanghai, Taipei, Tokyo

1 answer:

Lyrx [107]3 years ago

6 0

Answer:

The can do so in 24 different orders.

Step-by-step explanation:

The number of arranjments of n elements, that is, in how many orders can n elements be organied is:

$A_{n} = n!$

In this problem, we have:

4 cities, which means that n = 4. So

$A_{4} = 4! = 24$

The can do so in 24 different orders.

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Please help!! im very bad at math

Romashka [77]

Answer:

The expression was rewritten using the associative property. (6·3) · 2 equals 18 · 2, which equals 36.

6 · (3·2) equals 6 · 6, which equals 36.

3 0

3 years ago

Evaluate f(3) for the piecewise function: f(x) = Which value represents f(3)? –11 8 12.5 16

Nonamiya [84]

Hello!

-3x-2=-3(3)-2=-9-2= -11
Therefore, The Correct Answer would be 100%:

"-11", Option "A".

I Hope my answer has come to your Help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)

9 0

4 years ago

Read 2 more answers

In a lab experiment, 80 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub

Effectus [21]

Answer:

The hourly growth rate is of 4.43%.

The function showing the number of bacteria after t hours is $P(t) = 80(1.0443)^t$

Step-by-step explanation:

Equation of population growth:

The equation for the population after t hours is given by:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

The conditions are such that the number of bacteria is able to double every 16 hours.

This means that $P(16) = 2P(0)$ . We use this to find r.

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^{16}$

$(1+r)^{16} = 2$

$\sqrt[16]{(1+r)^{16}} = \sqrt[16]{2}$

$1 + r = 2^{\frac{1}{16}}$

$1 + r = 1.0443$

$r = 1.0443 - 1$

$r = 0.0443$

The hourly growth rate is of 4.43%.

80 bacteria are placed in a petri dish.

This means that $P(0) = 80$ .

$P(t) = P(0)(1+r)^t$

$P(t) = 80(1+0.0443)^t$

$P(t) = 80(1.0443)^t$

The function showing the number of bacteria after t hours is $P(t) = 80(1.0443)^t$

6 0

3 years ago

LOOK BELOW AT THE PICTURE

Tems11 [23]

Answer:

C. 1796.08 $in^2$

Step-by-step explanation:

Area of circle is $\pi r^2$ , r is the radius

remember radius is from the center to the edge, so it is half the diameter

now we need to find the area of the large circle (table) minus the small circle (hole)

the radius of the large circle is 48/2 which is 24

the area is $\pi 24^2$ replacing r in the formula with 24, the radius. Using 3.14 as pi, the answer is 1808.64

the radius of the small circle is 4/2 which is 2

the area is $\pi 2^2$ so the calculated value would be 12.56

now subtract the area of the hole (small circle) from the area of the table (large circle)

1808.64 - 12.56 = 1796.08

and there's your answer

hope that helps, lmk if it doesn't :)

8 0

3 years ago

Read 2 more answers

What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?

dybincka [34]

What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

$5y = -2x + b$

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

$\frac{5}{5}y = -\frac{2}{5}x + b$

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.

$(-4) = -\frac{2}{5} * (5) + b$

$--> -4 = \frac{10}{5} + b$

$---> -4 = -2 + b$

Add 2 to both sides to isolate b.

$-4 + 2 = b$

Which means that -2 = b.

Now that we have the y intercept, we can write the equation of the line, which is $y = -\frac{2}{5}x - 2$ .

Hope this was helpful.

3 0

4 years ago