The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)^t, where t is the elapsed time
in hours. What is the inverse function?

Step-by-step explanation:

1. 2x + 21 = 40

2x = 40 - 21

2x = 19

x = 19/2 = 9.5

2. 4x - 12 = 3x + 9

4x - 3x = 9 + 12

x = 21

3. 3x - 3 + 2 = 7x

3x - 1 = 7x

-1 = 7x - 3x

-1 = 4x

4x = -1

x = -1/4

= - 0.25

Answer:

x < -2; x> or= 2

Step-by-step explanation:

-25x + 175>225

-25x>225-175

-25x>50

divide both sides by -25; we have

x <-2

the lesser than sign changes to a greater than because we are dividing by a negative number.

2. 5x - 83>_ -73

5x>_ -73 + 83

5x>_ 10

divide both sides by 5x we have

x>_ 2

Answer:3⁴ and 81¹

Step-by-step explanation:

3⁹= 19683

3⁴= 81

-9²= -81

9⁹= 387,420,489

81¹= 81

Answer:

c= (-5a-2b+32)/6

Step-by-step explanation:

this is the answer, but you will b=have to a little more work to figure out each variable so you can get a number

Answer: The answer would be 1.6 :)

Answer:

The average velocity is:

4.8 km/hour

Step-by-step explanation:

1 hour = 60 minutes

20 minutes = 20/60 = 0.3333 hour

Proportions

1.6km ⇔  0.3333 hour

W km ⇔   1 hour

W = 1.6*1/0.3333

W = 4.8 km/hour

Answer:

  3 and 17

Step-by-step explanation:

Let x and y represent the numbers.

  x + y = 20 . . . . . . . . the numbers add up to 20

  x = 5 + 4y . . . . . . . . one number is 5 more than 4 times the other

Substituting the second equation into the first:

  (5 +4y) +y = 20

  5y = 15 . . . . . . . . . . subtract 5

  y = 3 . . . . . . . . . . . . divide by 5

  x = 20 -3 = 17

The numbers are 17 and 3.

Answer:

[tex]g(x)^-1 = \frac{-x}{2} +\frac{3}{2}[/tex]

Step-by-step explanation:

1) swap x and y

x = -2y + 3

2) solve for y

[tex]x=-2y+3[/tex]

[tex]2y=-x+3[/tex]

[tex]y=\frac{-x}{2} + \frac{3}{2}[/tex]

Answer:

[tex]\frac{y+3}{2}[/tex]

Step-by-step explanation:

Answer:

y=4 - [tex]\frac{2x}{3}[/tex]

Step-by-step explanation:

The value of y for 2x + 3y = 12 is (12 - 2x) / 3.

Given,

2x + 3y = 12

We will solve for y.

We will keep the like terms on one side of the equation and solve for the required variable.

Example: x + 2x + y = 3 + 2y

Solve for y:

x + 2x + y = 3 + 2y

3x = 3 + 2y - y

3x - 3 = y

3(x - 1) = y

y = 3(x - 1) is our answer.

Solve 2x + 3y = 12 for y.

We have,

2x + 3y = 12

Keep y on one side of the equation.

3y = 12 - 2x

Divide both sides by 3.

y = (12 - 2x) / 3

Thus the value of y for 2x + 3y = 12 is (12 - 2x) / 3.

Learn more about how to solve an equation here:

https://brainly.com/question/14410653

#SPJ2

This question was not written properly

Complete Question

A local pizza shop has a membership program for frequent buyers the membership cost $25 per month the members get a discount price of $1.50 per pizza slice. Aaliyah purchased a membership to this pizza shop , how much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?

What would be the monthly cost for a slice of pizza?

Answer:

a) $34

b) $26.50

Step-by-step explanation:

From the question:

Membership for frequent buyers in a month = $25

Discount price = $1.50 per pizza slice

a) How much would Aaliyah I have to pay the pizza shop if she bought six slices of pizza this month ?

This is calculated as:

Membership cost in a month + Discount price × Number of pizzas bought

= $25 +( $1.50 × 6 slices of pizza)

= $25 + $9

= $34

b) What would be the monthly cost for a slice of pizza?

This is calculated as:

Membership cost + Discount price × Number of slices

= $25 + $1.50 × 1

= $26.50

Answer: B

Step-by-step explanation: B. It has established protections for monies placed in banks

Answer:

9

Step-by-step explanation:

used a calculator

Answer:

gdjlicnoirfbmlyrsrloydfbm

Tenemos dos problemas de proporciones.

Las soluciones son:

A) Lamentablemente el primero está incompleto, lo reescribamos como:

"en una caja de 36 naranjas, si 6 se han descompuesto, ¿qué parte del contenido de la caja se desperdicia?"

Solo para mostrar la matemática que se necesita para este tipo de problemas.

La parte que del contenido de la caja que se desperdicia será igual al cociente entre el número de naranjas que se desperdician y el número total de naranjas, o sea:

p = 6/36 = 1/6

Se desperdicia 1/6 del contenido de la caja.

B) Sabemos que la pizza originalmente tiene 8 porciones.

Luego tu papá, hermano, y tía comen una porción (3 en total)

Entonces quedan: 8 - 3  = 5 porciones.

La parte que queda será el cociente entre lo que queda y la cantidad inicial, o sea:

p = 5/8.

Quedan 5/8 de la pizza.

Si quieres aprender más, puedes leer:

https://brainly.com/question/24436904

Answer:

Graph

Step-by-step explanation:

Answer:

[tex]6(4 + 3)[/tex]

Step-by-step explanation:

Given

Pencils = 4

Glue = 3

Required

Distribute these to 6 tables

Represent the pencils with P and Glue with G

The distribution to 6 tables will be:

[tex]6P + 6G[/tex]

Apply distributive property

[tex]6(P + G)[/tex]

Substitute values for P and G

[tex]6(4 + 3)[/tex]

Hence, the first option answers the question

Answer:

so the formula for finding the n th term in a geometric sequence is :

(first term) * [tex](Common Term)^{n-1}[/tex]

therefore:

the 3 rd term will be

(-8) * (6)^2

-8 * 36

-288

Answer:

1. Substitute the value of f(x) into the problem. 8=3x-1.

2. Isolate the variable. Add 1 to both sides to isolate the variable term by using the opposite operation to move the constant term across the equal sign. ...

3. Continue to isolate the variable. ...

4. Simplify.

Step-by-step explanation:

Answer:

The value for 20th term is 10.

Step-by-step explanation:

First, you have to find the formula for the sequence.

[tex]an = a + d(n - 1)[/tex]

[tex]let \: a = 200,d = - 10[/tex]

[tex]an = 200 - 10(n - 1)[/tex]

[tex]an = 200 - 10n + 10[/tex]

[tex]an = - 10n + 210[/tex]

Given that the formula of this sequence is an = -10n + 210. Next, you have to find 20th term :

[tex]let \:n = 20[/tex]

[tex]20th \: term = - 10(20) + 210[/tex]

[tex]20th \: term = - 200 + 210[/tex]

[tex]20th \: term = 10[/tex]

(Correct me if I am wrong)

Answer:

-4

Step-by-step explanation:

-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - 4 = -7(x - 0)

y = -7x + 4

Answer:

b

Step-by-step explanation:

jus did it

Answer:

The answer is

Step-by-step explanation:

First of all we can write the fraction as

Simplify the second fraction

That's

So we have

Next change the division sign to multiplication sign and reverse the second fraction

That's

Multiply the terms

We have the final answer as

Hope this helps you

Answer:3 [ 1 5 -5 6 0 0 ]

3 x 1 = 3

3 x 5 = 15

3 x -5 = -15

3 x 6 = 18

3 x 0 = 0

3 x 0 = 0

[ 3 15 -15 18 0 0 ]

[ 3 15 ]

[ -15 18 ]

[ 0 0]

The answer is B and I hope I explained this well for you

Step-by-step explanation:

Answer:

1.875

Step-by-step explanation:

Answer:

Step-by-step explanation:

one

The only really certain way of getting an odd integer is to do 2k + 1. Therefore the answer should be something like 2k+1, 2k+3, 2k + 5

The best I can do for the first one is to assume that k is odd and that the answer is k + 10, k+12, k+14, but I would ask your instructor if this is merely the best answer out of a poor lot or if the question really has no answer.

Two things should be noted.

1. k has to be odd.

2. The first choice has to give consecutive integers because what is added on is 2 3 and 4. Those numbers are consecutive.

Two

k+1, k+2, k+3. See point 2 above. k is a constant and any number. 1,2,3 are consecutive so the results are consecutive. Even if k < 0 the numbers will be consecutive.

k= - 10

k+1 = - 9

k+2 = -8

k+3 = - 7

These are consecutive.

Your first choice will give either consecutive odd or even numbers depending on what k is.

If k = even, then k+6, k+ 8, k+10 will all be even.

If k = odd then the givens will be odd.

2k+9, 2k+11, 2k+13 will yield consecutive odd integers.

k+6, k+8, k+10 will yield consecutive integers.

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

29.5 49.3 30.6 28.2 28.0 26.3 33.9 29.4 23.5 31.6

Sort in ascending order of magnitude :

23.5,26.3,28.0,28.2,29.4,29.5,30.6,31.6,33.9,49.3

A) Range of the sample data:

(maximum - minimum)

49.3 - 23.5 = 25.8

B) sample variance :

S² = ∑ (x − m)²/ n − 1.

m = mean ; n = number of observations

m = (23.5 + 26.3 + 28.0 + 28.2 + 29.4 + 29.5 + 30.6 + 31.6 + 33.9 + 49.3) = 310.3 / 10 = 31.03

∑ (x − m)² = 443.801

n - 1 = 10 - 1 = 9

S² = ∑ (x − m)²/ n − 1

S² = 443.801 / 9

S² = 49.311222 = 49.31

C) The standard deviation (s):

S = √[∑ (x − m)²/ n − 1]

√variance = √49.311222

S = 7.0221949

S = 7.022

D) using statistical calculator,

S² = 49.31

Answer:

C

Step-by-step explanation:Hope this helps!:>

Answer: x = 28

Step-by-step explanation: You multiply each place by 7 to get the x by itself and you get 28 as an answer

Answer:

28

Step-by-step explanation:

x/7=4

x=4*7

x=28

Answer:

4) About 26.0 feet

5) About 80 degrees.

Step-by-step explanation:

Please refer to the (badly drawn, sorry) drawings.

4)

So for a horizontal distance of 80 meters, the angle of elevation is 18 degrees.  And we want to find the height.

The horizontal distance is adjacent to the angle, and the height is opposite to the angle. Thus, we can use the trigonometric ratio tangent.

Recall that tangent is:

[tex]\tan(x)=opp/adj[/tex]

Substitute 18 for x, h for opposite, and 80 for adjacent. Thus:

[tex]\tan(18)=\frac{h}{80}[/tex]

To solve for h, multiply both sides by 80:

[tex]h=80\tan(18)[/tex]

Use a calculator:

[tex]h\approx25.9938[/tex]

So, the height is approximately 26.0 feet.

5)

So, this time, we need to find the angle. We know the hypotenuse and the side adjacent to the angle. So, we can use cosine. Recall that:

[tex]\cos(x)=adj/hyp[/tex]

Substitute 1.5 for adjacent and 9 for the hypotenuse. Thus:  

[tex]\cos(x)=\frac{1.5}{9}[/tex]

Take the inverse cosine of both sides:

[tex]x=\cos^{-1}(\frac{1.5}{9})[/tex]

Use a calculator:

[tex]x\approx80.4059\textdegree\approx80\textdegree[/tex]

So, the angle is about 80 degrees.

And we're done!

Answer:

4) About 26.0 feet

5) About 80 degrees.

Step-by-step explanation:

Answer:

its 2i or -2i

Step-by-step explanation:

just did it and also the next one is -4 and 10

Answer:

your answer will be "2i or -2i"

for the next it is   -4 and 10

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation: