A population of 100 cells triples every hour.
Write a function for the population p(t) where t represents the number of hours.

Answer:

B

Step-by-step explanation:

x = 5 is the equation of a vertical line parallel to the y- axis

The equation of a line parallel to it must have the same form, that is

x = - 2 ← vertical line parallel to x = 5

Exchanging x and y and isolating y, it is found that the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

The function given is:

[tex]g(x) = y = \frac{1}{x - 1}[/tex]

To find the inverse function, we exchange x and y and isolate y, hence:

[tex]x = \frac{1}{y - 1}[/tex]

[tex]x(y - 1) = 1[/tex]

[tex]xy - x = 1[/tex]

[tex]xy = 1 + x[/tex]

[tex]y = \frac{1 + x}{x}[/tex]

Hence, the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

You can learn more about inverse functions at https://brainly.com/question/16485117

Answer:

x=2, perimeter=14

Step-by-step explanation:

Finding x

(x+1)(x+2)

x^2+2x+x+2=12

x^2+3x-10

x^2-2x+5x-10

x(x-2)5(x-2)

(x+5)(x-2)

x=-5

x=2

Length or Width should be a positve number.

x=2

Perimeter:

3+3+4+4=14

Answer:

4cm

Step-by-step explanation:

it this the answer you were looking for?

Answer:

91cm

Step-by-step explanation:

7m to cm =700m

28cm+700cm=728cm

728cm/8=91cm

Answer:

I really :3? i’m up for a challenge

Step-by-step explanation:

21 - 3 = 18

18 + 18= 36

36/6= 6

hope this helped!

let something = x

[tex]8 \times 7=x \times 0.1 \\ x = \frac{8 \times 7}{0.1} \\ x = \frac{8 \times 7 \times 10}{1} \\ x = 560[/tex]

therefore, something = 560

Answer:

Let's solve for x.

x+y+z=8

Step 1: Add -y to both sides.

x+y+z+−y=8+−y

x+z=−y+8

Step 2: Add -z to both sides.

x+z+−z=−y+8+−z

x=−y−z+8

Answer:

x=−y−z+8

Answer:

cylinder

Step-by-step explanation:

a cylinder would be formed, as the rotation forms a circular base and a rectangular body which can be seen in a cylindrical net.

Answer: A Hollow Cylinder

Using the permutation and the combination formula, we have that:

a) The first three finishers can be awarded medals in 504 ways.

b) They can be arranged in 252 ways.

c) In how many ways can 4 students form a team from a set of 8.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Permutation formula:

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Item a:

Order is important, as the finishers are ranked, hence:

[tex]P_{(9,3)} = \frac{9!}{6!} = 504[/tex]

The first three finishers can be awarded medals in 504 ways.

Item b:

The order is not important, hence:

[tex]C_{10,5} = \frac{10!}{5!5!} = 252[/tex]

They can be arranged in 252 ways.

Item c:

Situation in which the order is not important, hence, for example, in how many ways can 4 students form a team from a set of 8.

For more on permutation/combination, you can take a look at https://brainly.com/question/25247153

Answer:

see explanation

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos52° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (1)

The 3rd angle in the triangle is

180° - (90 + 52)° = 180° - 142° = 38°

Using the sine ratio in the right triangle

sin38° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (2)

Answer:

57 cookies

Step-by-step explanation:

32/0.56= 57.14

Answer:

y = -1/2x - 8

Step-by-step explanation:

You are looking for the equation in the form of y=mx + b, so you need y on the left hand side without x. Subtract x from both sides.

2y = -x - 16

Now you want 1y instead of 2y. So divide everything by 2.

y = -1/2x - 8

Answer:

x=9, y=15. (9, 15).

Step-by-step explanation:

y=2x-3

y=x+6

----------

2x-3=x+6

2x-x-3=6

x-3=6

x=6+3

x=9

y=9+6=15

Answer:

This is the graph. Hope the pic loads.

Answer:

Option D

Step-by-step explanation:

a^2 + b^2 = c^2

5^2+b^2=9^2

25+b^2=81

b^2=56

b=2√14

Answer:

um

Step-by-step explanation:

Answer:

Its white! atleast i think its white because your pfp has white clothes on

Answer:

-6x -6= 10

Step-by-step explanation:

-2(x +3) -4x= 10

Expand:

-2(x) -2(3) -4x= 10

-2x -6 -4x= 10

Simplify:

-6x -6= 10

Thus, the second option is correct.

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

Answer:

The radius would be 11ft.

Step-by-step explanation:

So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.

Hope that helps. x ps. Love the fact the picture is upside down :)

Answer:

You would count another table for the remainder. Therefore, 8 tables are needed to seat 63 people. It does not matter whether all seats are filled on the 8th table.

Happy Holidays!

We can use the following equation to calculate uniform acceleration:

[tex]\large\boxed{a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{\Delta t}}}[/tex]

Plug in the given values to solve:

[tex]\frac{85 - 65}{16}}} = \frac{20}{16} = \boxed{1.25 m/s^2}}[/tex]

Answer:

Hope it will help you...

The second and last one.

The second one multiplies the cost of each type of ticket by two, therefore saying that you wanted to buy two of each type of ticket.

The last one multiplies the cost of a single ticket of all three types and multiplies it by 2.

Answer:

The second and last one

Step-by-step explanation:

Hope this helps and have a good day!

Answer:

380 divided by 20 is your answer

Step-by-step explanation:

Answer:

The answer is 76. The estimation would be 80.

Step-by-step explanation:

Answer: Minimum for $150: 2 Hours

Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!

Answer:

3.a)2[tex]\sqrt[3]{2}[/tex]

5.a) x=2

Step-by-step explanation:

Answer:

1. If 3^x = 1 then x =0

Step-by-step explanation:

3^0 = 1

3. 2, 9 3, 7, 5, the median is 5

4.3,5,3,4,3 the mode is 3

5. A cube whose volume is 8^3 =(512cm^3)

3. B

Answer:

B

Step-by-step explanation:

5x5 = 25

She used 5 bags and saved 5 cents on each one.

1 - 5, 2 - 10, 3 - 15, 4 - 20, 5 - 25.

Hope that helps

Answer:

  3000 +219d

Step-by-step explanation:

The food booth rental revenue is ...

  11(100 +9d) = 1100 +99d

The game booth rental revenue is ...

  20(95 +6d) = 1900 +120d

Then the total revenue is ...

  (1100 +99d) +(1900 +120d) = 3000 +219d

Answer:

It is the second one 20^247

Step-by-step explanation:

Answer:

$14.61

Step-by-step explanation:

14.05 * 1.04 = 14.612