Use the permutation formula to solve a problem when

P = n! C = n!
ⁿ ʸ ------ ⁿ ʳ ---------
(n-r)! r!(n-r)!


(i couldnt download the photo of the formula but i tried to do my best of making it out ;u;)

__

A. 1.36

B. 54

C. 3,276

D. 32,760

Answer:

The difference in the populations of the cities when t=4 is 25,800.

Step-by-step explanation:

Given equations each of the city:

-150t+50,000

and

50t+75,000

To find the difference between the population when t=4, we first have to solve both equation when t=4.

For both equations, substitute 4 into t:

-150(4) + 50,000 = 49,400

50(4) + 75,000 = 75,200

Now subtract 49,400 from 75,200 and you get 25,800.

The difference in the populations of the cities when t=4 is 25,800.

Answer:

x = 45°

Step-by-step explanation:

We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)

⇒ x + 115 = 160

⇒ x = 160 - 115

⇒ x = 45°

Learn more about vertically opposite angles: https://brainly.com/question/68367

Answer:

  12 cm

Step-by-step explanation:

You want the longest possible integer length of the third side of a triangle with sides 4 cm and 9 cm.

The triangle inequality requires the longest side be less than the sum of the other two sides:

  x < 9 cm + 4 cm

  x < 13 cm

The largest integer length less than 13 cm is 12 cm.

The longest possible third side is 12 cm.

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In order to factor this expression, we should divide both terms of this binomial (a polynomial with 2 terms) by 4 (the greatest common factor)

Note:- We usually factor out the Greatest Common Factor, or the GCF.

Divide:-

m

8

Add the terms:-

m+8

Put parentheses around them:-

(m+8)

Put 4 outside the parentheses:-

4(m+8)

If you wonder whether or not you've factored correctly, you can use the distributive property & distribute :)

Answer:

3/10 is greater. and the bottom part is 30

Step-by-step explanation:

because 1/6= 0.2 and 3/10=0.3.

0.2>0.3 therefore 3/10 is greater.

and to find the common denominator you just have to list out the number of  and 10.

6,12,18,24,30

10,20,30

as you can see 30 is the common denominator.

Answer:

2?

Step-by-step explanation:

Answer:C-6

Step-by-step explanation:(2,-2) reflected over X would be (-2,2). Then dilate by 3 which you multiply by 3. So -2 x 3 = -6.  

Hope it helps !

Answer:

All the sides should be 4 cm.

Step-by-step explanation:

The first triangle rule is the two sides should be greater than the longest side when added together.

For example- 4+4=8 which is bigger than 4

12 divided by 3 is 4.

Hope this helps.

Answer:

Step-by-step explanation:

Remark

All triangles have 180 degrees.

In order that all sides be 12cm long, you need to draw a base line that goes on for more than 12 cm.

Mark off the (using a ruler) a line that is 12 cm from one of the line written about.

From that same endpoint, draw an angle that is 60o. Draw a line going 60 degrees from your first line.

=============

Just to finish the triangle, go to the other end of the 12 cm line. Draw another 60 degree angle. Make it so that it will intersect the second line you drew.\

Diagram first 2 steps

i think the answer would be 33%                                                              

Answer: 4mi/h

Step-by-step explanation:

We have that Mario walks 2/3 of a mile every 10 minutes. Representing this as a fraction:

[tex]\frac{2/3}{10} \frac{mile}{minute}[/tex]

Next, you can use something called "dimensional analysis." A dimenision in this case would be the units. The desired units we want are miles per hour, but we are given miles per minute. You can use a few conversion factors to help get to those desired units. In 60 minutes, there is 1 hour. Let's multiply this conversion factor by our original fraction:

[tex]\frac{2/3}{10} \frac{miles}{minute}*\frac{60}{1} \frac{minute}{hour}[/tex]

As you can see above, the units of minutes will cancel. This will leave the units of miles on top, and hours on the bottom. Our units are now miles per hour after simplifying things:

[tex]\frac{2/3}{10}\frac{60}{1} \frac{miles}{hour}=2/3*6 \frac{miles}{hour}=4\frac{miles}{hour}[/tex]

Answer:

1/3

Step-by-step explanation:

add the sum of all of the sock, then subtract 8. 24 minus 8 is 16, which is 2/3

Answer: Than did not move the decimal point three places to the left in the answer

Step-by-step explanation:

Answer:

25% off the entire purchase is better and will save you money over the 40% off

Step-by-step explanation:

Answer:

a c d

Step-by-step explanation:

all of them are 100 except b so isk what you want hope that helps

Answer:

D

Step-by-step explanation:

I am pretty sure it is going to be D sorry if I am wrong

I believe the answer is 7

Step-by-step explanation:

The radius is like half of the diameter and 14/2=7

Hope this helps

Answer:

12%

Explanation

Because the fish tank is 80% and when the stone is put in the water the water is filled 92% so that means that the water rises 12%

Answer:

12cm

Step-by-step explanation:

The formula to find the area of a trapezoid is A = [tex]\frac{a + b}{2}[/tex]h. We replace the "a" and "b" with 6cm. We then replace the "h" with 12cm as your height is 12cm. The new formula is A = [tex]\frac{a + b}{2}[/tex]h = [tex]\frac{6 + 6}{2}[/tex] x 12. The answer to that equation is 12cm.

Answer:

reciprocal- flipping the denominator and numerator

Step-by-step explanation:

3/6 as a reciprocal is 6/3 just simply flip the numbers

Answer:

reciprocal- flipping the denominator and numerator

Step-by-step explanation:

Answer:

10/20

Step-by-step explanation:

if she has 20 in total and there's only two colours I would assume it's an even chance,

For example a coin has two sides, = even chance of getting each side.

Good luck hope this helped

Answer:

D. 3.14

Step-by-step explanation:

A = πr^2

2/2=1

r=1

1 squared is 1

so, 1 X Pie = 3.14

Answer:

Answwe is 44

Step-by-step explanation:

that the answer

Answer:

Step-by-step explanation:

Answer: what’s the problem?

Step-by-step explanation: I can help if you want

The answer is D

Step-by-step explanation:

12×13×2=312+52=364

Answer:

4) 2,400

5) The graph is going up by 500's and this could be misleading because you would have to estimate the elevation.

Step-by-step explanation:

Answer:

it depends

Step-by-step explanation:

for 4 you could say mountain a is 2,250 feet higher or that it is x% higher.

for 5 you could put "the graph may be misleading because the graph starts at a non-0 number thus making one mountain seem much taller than the other" because both mountains start at 16,500 and not 0 making the difference seem more extreme than it is.

Answer:

im sorry but i need more than a picture to help you like write it out and send it to me then i can help you

Step-by-step explanation:

Answer:

6 x 10 = 60 x 2 = 120

10 x 10 = 100

120 + 100 = 220

thats my guess im not sure what its asking lol

Answer:

31.4

Step-by-step explanation:

I reaally hope this helps you