5 athletes are in a 100k race. How many different ways can they finish based on their order.

The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

The given sequence is 5, -25, 125,.......

Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.

We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].

Where, a = first term of the sequence, r= common ratio and n = number of terms.

Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get

[tex]a_n=5\times(-5)^{n-1}[/tex]

Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

To learn more about the geometric sequence visit:

https://brainly.com/question/11266123.

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Answer:

The variable c=9 is the answer the varibles

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

c = −15.8571428571

Step-by-step explanation:

-42 = 5(2c + 9) - 3(c + 8)

-42 = 10c + 45 - 3c + 24

-42 = 10c - 3c + 45 + 24

-42 = 7c + 69

-7c -7c

-------------------

-7c - 42 = 69

+42. +42

___________

-7c/-7 = 111/-7

c = −15.8571428571

Answer:

5

Step-by-step explanation:

Lets recall what the pythagroens theorm is:

A^2+B^2=C^2. A and B are the side lengths(adjacent and opposite), while C is the longest sloped length(hyotenouse).

Lets plug in our values for each, and solve for the missing one:

12^3+b^2=13^2

Square each value(except for unknown):

144+b^2=169

Now get b alone(subtract 144 from both sides):

b^2=25

Now root both sides(removes the ^2):

b=5

This is your answer!

Hope this helps! :)

Answer:

false, a parallelogram does not have any lines of symmetry

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

1) use a proportion to find how many students chose pizza

30 : 100 = x : 80

x = (80 x 30)/100 = 24

2) use a proportion to find how many students chose salad

10 : 100 = x : 80

x = (80 x 10)/100 = 8

3) solve the question

24 - 8 = 16

Answer:

12 STUDENTS CHOSE HAMBURGERS

24 STUDENTS CHOSE PIZZA

16 STUDENTS CHOSE SANDWHICHES

20 STUDENTS CHOSE HOT DOGS

8 STUDENTS CHOSE SALAD

24 = PIZZA

8 = SALAD

8 - 24 = 16 SO B

i dont know why everything i capitilized sorry haha

Step-by-step explanation:

Answer:

x= 6; y=3 root 3; m=6; n= 6 root 2; a=2; b=2

Step-by-step explanation:

Special Triangles

Answer: 27

Step-by-step explanation:

Answer:

C. 27

Step-by-step explanation:

Answer:

umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments

Step-by-step explanation:

have a good rest of your day tho :) ❤

Answer:

the answer is 67789 because he will have enough money for the car to play

Answer:

a

Step-by-step explanation:

just did it

Answer:

[tex]X = \sqrt{39}[/tex]

Step-by-step explanation:

[tex]1)\ X^2 + 5^2 = Y^2\ (Y\ is\ the\ hypotenuse\ of\ the\ smaller\ triangle)[/tex]

[tex]2)\ Y^2 + 6^2 = 10^2[/tex]

[tex]3)\ X^2 + 25 + 36 = 100[/tex]

[tex]4)\ X^2 = 39[/tex]

[tex]5)\ X = \sqrt{39}[/tex]

Answer:

X = [tex]\sqrt{39}[/tex]

Step-by-step explanation:

Answer:

The interquartile range for this data set is 3.

Step-by-step explanation:

We are given the data set : 3, 4, 4, 6, 7, 7, 9

In order to find the interquartile range, we can create a box plot for this data set. Each box plot contains a minimum, lower quartile, median, higher quartile, and maximum. Let's find the minimum and maximum before the others as it is the easiest one to identify. The minimum here would be 3 since that's the lowest number here in this data set. The maximum here would be  9 since that's the highest number here in this data set. Before we find the lower and higher quartile, let's find the median first since that way, we don't get mixed up between so many numbers. To find the median, you need to find the value that lies at the middle point throughout the data set. Since there are 7 values in this data set which is a odd number, all we need to do is cross out the first and last value as each set goes by.

3, 4, 4, 6, 7, 7, 9

   4, 4, 6, 7, 7

       4, 6, 7

           6

The work above shows each set of the first and last value getting shorter and shorter, so the median of the data set would be 6. The values, 3, 4, and 9 have already been used. Now that we know the median, the second lowest number here is 4 (lower quartile) and the second highest number here is 7 (higher quartile). In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.

7 (higher quartile) and 4 (lower quartile) = 3 (interquartile range)

Therefore, the interquartile range for this data set is 3.

Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Have a great day and stay safe !

Answer:

my first thought was B but C has 2 similarities in 2 answered B is 4 D is 7.5, but C has a 4 and a .5 so try C

Answer:

Option C, 4.5

Step-by-step explanation:

We can say that;

8/6 = 6/x

=> [tex]\frac{8}{6} x=6\\[/tex]

=> x = [tex]\frac{6}{(8/6)}[/tex]

=> x = 4.5

Hope this helps!

Answer: linear

Step-by-step explanation

Answer:

first option

Step-by-step explanation:

have a good day

Answer:

10,2,5

Step-by-step explanation:

Answer:

the answer's option 3 * landslide *

Step-by-step explanation:

-

Answer:

Option 3

Step-by-step explanation:

A landslide is the most occurring disaster for people living in hills

Hope it helps

Answer:

44. (Sorry if im incorrect. I don't clearly understand the question)

Step-by-step explanation:

Answer:

14 or -12

Step-by-step explanation:

Start by writing an equation for this.

84 = x * (2x + 2)

This expression works because 84 is the product of the number (x) and twice the number plus 2.

Using the equation, solve for x.

84 = x * (2x + 2)

First, simplify.

84 = 2x^2 + 2x

Subtract 2x^2 + 2x to make the equation equal to 0.

84 - 2x^2 + 2x = 0

Factor:

−2(x − 6)(x + 7) = 0

Set factors equal to 0.

x − 6 = 0 or x + 7 = 0

x = 6 or x = -7

x represents the smaller number. The larger number is 2x + 2.

So double x and add 2.

2(6) = 12 and 12 + 2 = 14 so that's one of the options

2(-7) = -14 and -14 + 2 = -12 so that's the other.

Check:

14 * 6 = 84

-12 * -7 = 84

Answer:

x = 4/5

FILLER FILLER FILLER

Answer:

d) -90º

Step-by-step explanation:

Answer:

the coaster diameter is 8

Answer:

592

Step-by-step explanation:

Surface area of a rectangular prism = 2lw + 2lh + 2wh

where w = width, h = height and l = length

These are the given dimensions...

length = 12 cm

width = 8 cm

height = 10 cm

To find the surface area we plug in the given values into the formula

[tex]SA=2(12)(8)+2(12)(10)+2(10)(8)\\12*8=96\\96*2=192\\12*10=120\\120*2=240\\10*8=80\\80*2=160\\160+240+192=592[/tex]

Hence, the surface area of the rectangular prism is 592

If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then it's height above the earth in feet is given by s(t)=-16t^2+32T where t

Answer:

(0,-4)

Step-by-step explanation:

Just enter the equation into desmos and then find where the line meets the y-axis, which is the line that comes down the middle.

Answer:

3/10

Step-by-step explanation:

fouth grade students at Estrabook make up 0.3 percents of the students at school

The fraction is therefore equivalent to

= 3/10