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3 years ago

If bc = 10, bx = 6, xy = 4, then cd =

1 answer:

3 0

BC = kBX
CD = kXY 
BC/BX = k = 10/6 
CD/XY = k = 10/6 = CD/4 

10/6 = CD/4 
CD = 40/6 = 6 2/3

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A population of 1200 rabbits increases by 2.5% each year. At the end of 5 years, there will be approximately 1,358 rabbits in th

lubasha [3.4K]

Answer: y= 1200 (1.025)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

1200= 1200 (1+ 2.5/100)^5

1200= 1200 (1+ 0.025)^5

1200= 1200 (1.025)^5

For the number of rabbits, y, at the end of t years

y= 1200 (1.025)^t

Feel free to ask for more if needed or if you did not understand something.

4 0

4 years ago

Please help thanks so much

Umnica [9.8K]

The formula for the volume of a sphere is the following:

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

Plug in V=5000π and solve for the radius.

$5000 \pi = \dfrac{4}{3} \pi r^3$

Divide both sides by $\pi$

$5000 = \dfrac{4}{3} r^3$

Multiply both sides by 3/4 (to eliminate the 4/3 on the right side)
Also, flip the equation so we have the unknown variable on the left side (math etiquette).

$r^3=3750$

Take the cube root of both sides

$r \approx 15.5$

Now, calculate the surface area since now we know the radius.
The formula for the surface area is the following:

$S=4 \pi r^2$

Plug in r=15.5

$S \approx 3033$

The second choice is your answer.

5 0

3 years ago

In the right triangle shown, find x.

Brut [27]

Answer:

Step-by-step explanation:

8 0

3 years ago

Which point on the unit circle corresponds to -pi/6 ?

xeze [42]

Answer:

(srt(3)/2, -1/2)

Step-by-step explanation:

x = rcos theta

r = 1 on unit circle

x = 1 cos (-pi/6)

x = sqrt(3)/2

y = r sin theta

y =1 sin (-pi/6)=

y = -1/2

8 0

3 years ago

Step 3: Now multiply the values to get 14,918,904,000. That is almost 15 billion passwords.

Troyanec [42]

The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600

<h3>How to determine the number of passwords</h3>

The given parameters are:

Password length = 8

Letters = 6

Numbers = 2

There are 26 letters and 10 digits.

Since the letters and the numbers can be repeated, then the number of passwords is:

Count = 26^6 * 10^2

Evaluate

Count = 30891577600

Hence, the number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600