There is a population of 5 bacteria in a colony. If the number of bacteria doubles every minute, which function can be used to determine what the population will be x minutes from now?

Answers

Answer 1

Answer:

[tex]f(x) = 5 *2^x[/tex]

Step-by-step explanation:

Given

[tex]a=5[/tex] -- initial

[tex]r = 2[/tex] --- rate (i.e. double)

Required

The function to represent the scenario

The above scenario represents an exponential function where

[tex]f(x) = ar^x[/tex]

So, the function is:

[tex]f(x) = 5 *2^x[/tex]


Related Questions

How much would $500 invested at 6% interest compounded monthly be
worth after 5 years? Round your answer to the nearest cent.
int
A09) P(124
A. $512.63
B. $669.11
C. $674.43
D. $886.41

Answers

Answer:

$669

Step-by-step explanation:

Given data

Principal= $500

Rate= 6%

Time= 5 years

The compound interest formula is given as

A= P(1+r)^t

A=500(1+0.06)^5

A=500(1.06)^5

A=500*1.338

A=$669

What is the length of /AB?

Answers

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Comes with a picture
multiple-choice answer please help I need immediate help
Thank youuuu

Answers

Answer:

The answer is A. 31,250.

Step-by-step explanation:

To solve for the 7th term in the geometric sequence, start by plugging 7 into the explicit formula, and the formula will look like [tex]a_{7}=2*5^{(7-1)}[/tex].

Next, subtract 1 from 7, and the formula will look like [tex]a_{7}=2*5^{6}[/tex].

Then, raise 5 to the power of 6, which will look like [tex]2*15625[/tex].

Finally, multiply 2 by 15,625, and the answer will be 31,250.

find out the area and perimeter of circle of radius 7cm

Answers

Answer:

[tex]area = \frac{\pi}{4} \times {r}^{2} \\ = \frac{\pi}{4} \times {7}^{2} \\ = \frac{\pi}{4} \times 49 \\ = 38.48451000647 \: cm \: ans......[/tex]

Answer:

Step-by-step explanation:

area of circle=πr^2

=3.14*(7)^2

=3.14*49

=153.86 cm^2

perimeter of a circle(circumference)=2πr

=2*3.14*7

=14*3.14

=43.96 cm

Which is a common factor of 1 and 2?
A.
0
B.
C.
D.
1
2
4
ОА
B
С
D

Answers

Answer:

The common factor is 1.

Step-by-step explanation

The common factor of 1 and 2 is 1 since 1x2=1.

What is the slope of the line that contains these points?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\boxed{m=8}[/tex]

»»————- ★ ————-««  

Here’s why:  

[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]

⸻⸻⸻⸻

[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]

⸻⸻⸻⸻

[tex]\text{The slope is 8.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Which of the following represents
the graph of this equation?
Help Resources
y = |x - 2|

Answers

Answer:

There isnt a graph.

Step-by-step explanation:

f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.

Answers

Given:

The expression is:

[tex]f^3+11g-4h[/tex]

The given values are [tex]f=3,\ g=2,\ h=7[/tex].

To find:

The value of the given expression for the given values.

Solution:

We have,

[tex]f^3+11g-4h[/tex]

After substituting [tex]f=3,\ g=2,\ h=7[/tex], we get

[tex]f^3+11g-4h=(3)^3+11(2)-4(7)[/tex]

[tex]f^3+11g-4h=27+22-28[/tex]

[tex]f^3+11g-4h=49-28[/tex]

[tex]f^3+11g-4h=21[/tex]

Therefore, the value of the given expression is 21.

I got 7 but I’m confused

Answers

Answer:

27

Step-by-step explanation:

3v+6=5v-8

3v+14=5v

14=2v

v=7

3*7+6

21+6

27

u were right on 7 u just need to plug it into the equation

Figure 2 was constructed using figure 1. For the transformation to be defined as a rotation, which statements must be true? Selext three options.

Answers

Answer:

The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).

The transformation is rigid.

Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

If figure 1 is located 360° about point C, it will be mapped onto itself.

Step-by-step explanation:

What is 1/4 as a number?

Answers

Answer:

.25

Step-by-step explanation:

you divide 1 by 4 which equals .25

Answer:

1/4 as a number is 0.25

Step-by-step explanation:

Divide 1 by 4 = 0.25

please help step by step how do I solve this​

Answers

Answer:

my suggested answer (576)

Step-by-step explanation:

i chose the wrong answer :(

I need a math genius

Answers

Answer:

yuh?

and what help do you need from me?

im a math genius, thank you very much

:)

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Answers

Answer:

What are the statements?

Step-by-step explanation:

You have to list the statements.

PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

the answer is rhombus

Answer:

rhombus

Step-by-step explanation:

3. Find the measure of each indicated arc or the measure of an inscribed angle.

b. Find the measure of Arc BAD

Answers

Answer:

Step-by-step explanation:

Arc BAD is intercepted by inscribed angle BCD which measures 110. The rule is that an intercepted arc is twice the measure of the angle that intercepts it. Therefore, arc BAD is 110(2) which is 220.

How many tiles would be in figure 100? Help :/

Answers

Answer: pretty sure it is 201 tiles

please mark me brainlies. That would be helpful

En un triangulo rectangulo,la hipotenusa mide 10 cm y un cateto mide 8 ¿Cual es el valor del otro cateto ?

Answers

Respuesta:

6 cm

Explicación paso a paso:

Paso 1: Información provista

Longitud de la hipotenusa (h): 10 cm

Longitud del cateto 1 (c₁): 8 cm

Paso 2: Calcular la longitud del cateto 2 (c₂)

Tenemos un triángulo rectángulo, es decir, que uno de sus ángulos es 90°. Conociendo la hipotenusa y uno de los catetos, podemos determinar la longitud del otro cateto usando el Teorema de Pitágoras.

h² = c₁² + c₂²

c₂² = h² - c₁²

c₂ = √(h² - c₁²)

c₂ = √((10 cm)² - (8 cm)²) = 6 cm

An automobile retailer calculates that its loss on the sale of Type M cars is given by L(50) = 8,000 and L'(50) = −500, where L(x) represents the loss on the sale of x Type M cars. What do these values tell you about losses?

Answers

Answer:

The loss on the sale of 50 type M cars is $8000, and the loss is decreasing at the rate of $500 per 50 type M car sold.

Step-by-step explanation:

Given

[tex]L(50) = 8000[/tex]

[tex]L'(50) = -500[/tex]

Required

Interpret

From the question, we understand that:

[tex]x \to[/tex] Number of cars

[tex]L(x) \to[/tex] Profit on x cars

Using the above as a point of reference,

[tex]L'(x) \to[/tex] Rate of loss per x cars

So, the interpretations are:

[tex]L(50) = 8000[/tex]

A loss of 8000 on 50 cars

[tex]L'(50) = -500[/tex]

The loss rate is a reduction of 500 per 50 car

What are the possible values of x in x2 + 3x + 3 = 0?

Answers

Answer:

Step-by-step explanation:

Answer:

=3

Step-by-step explanation:

given the general form ax2 +bx+c=0

there exist two solutions where: a=1,b=3andc=3

A distributor needs to mix some Terraza coffee that normally sells for $9.00 per pound with some Kona coffee that normally sells for $13.50 per pound to create 50 pounds of a mix that can sell for $9.54 per pound. How many pounds of each kind of coffee should they mix?

Answers

Answer:

Step-by-step explanation:

Mixture problems are really easy because the table never varies from one problem to another and they don't have a lot of variations in them like motion problems do. The table for us will look like this, using T for Terraza coffee and K for Kona:

                #lbs     x       $/lb       =         Total

T

K

Mix

Now we just have to fill this table in using the info given. We are told that T coffee is $9 per pound, and that K coffee is $13.50 per pound, so we will fill that in first:

                 #lbs        x        $/lb       =        Total

T                                           9

K                                         13.50

Mix

Next we are told that the mix is to be 50 pounds that will sell for $9.54 per pound

                  #lbs      x       $/lb        =        Total

T                                         9

K                                       13.50

Mix              50                 9.54

Now the last thing we have to have to fill in this table is what goes in the first column in rows 1 and 2. If we need a mix of 50 pounds of both coffees and we don't know how many pounds of each to use, then under T we have x and under K we have 50 - x. Notice along the top we have that the method to use to solve this problem is to multiply the #lbs by the cost per pound, and that is equal to the Total. So we'll do that too:

                 #lbs       x       $/lb      =      Total

T                   x        x          9         =        9x

K             50 - x      x       13.50     =    675 - 13.50x

Mix            50        x         9.54     =     477

The last column is the one we focus on. We add the total of T to the total of K and set it equal to the total Mix:

9x + 675 - 13.5x = 477 and

-4.5x = -198 so

x = 44 pounds. This means that the distributor needs to mix 44 pounds of T coffee with 6 pounds of K coffee to get the mix he wants and to sell that mix for $9.54 per pound.

5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.

Answers

Answer:

m = 5, n = 2

Step-by-step explanation:

[tex]5m - 3 n = 19\\m - 6n = - 7 \ => m = -7 + 6n\\\\Substitute \ m \ in \ 5m - 3n = 19\\\\5(-7 + 6n) - 3n = 19\\-35 + 30n -3n = 19\\27n = 19 + 35 \\27n = 54 \\n = 2\\\\Substitute \ n = 2 \ in \ m = -7 + 6n\\\\m = -7 + (6 \times 2) = -7 + 12 = 5[/tex]

Lisa and Susan are driving to college together. They look at a map to find out how far they have to drive. On the map, Lisa measures the distance to be 4.5 inches. How many miles do they have to drive if the map scale is 1 in. = 40 mi?

A. 10 miles

B. 220 miles

C. 1/10 miles

D. 180 miles

Answers

Answer:

d 180 miles

Step-by-step explanation:

4.5×40= 180 miles

The actual distance to college Lisa and Susan going together is 180 miles.

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The map scale is 1 in. = 40 mi.

Lisa and Susan are driving to college together, On the map, Lisa measures the distance to be 4.5 inches.

Therefore,

The actual distance to college is,

= (4.5×40) miles.

= 180 miles.

learn more about scale factors here :

https://brainly.com/question/30215119

#SPJ2

can someone pls help for brainlest

Answers

Answer:

area of the larger figure=32 yd×37 yd

=1184 yd²

area of the smaller figure=21 yd ×26 yd

=546 yd²

area of the shaded region=1184 yd² -546 yd²

=638 yd²

The number of subsets that can be created from the set {1, 2, 3} is:

Answers

Answer:3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subset : {} ; {1}  ; {2}  ; {3}  ; {1,2}  ; {2,3} ;  {1, 3} ; {1,2,3}

Number of subsets = 8

What is the distance between the following points?

Answers

The answer is nine sorry if wrong

Find mZP.
P
26
2./13
R
mZP =
I’m confused

Answers

Answer:

45 degrees

Step-by-step explanation:

Since we have a right triangle, we use the appropriate trigonometric ratio

The angle marked P faces QR and that makes it the opposite side

PR faces the right angle and that makes it the hypotenuse

The trigonometric ratio that links the opposite and the hypotenuse is the sine

It is the ratio of the opposite to the hypotenuse

Thus;

sin P = √26/2 √13

Sin P = √2/2

P = arc sin √2/2

P = 45 degrees

Solve the equation n3 = 8/125 for n n=______

Answers

Answer:

2/5

Step-by-step explanation:

The area of a triangle is 92 and its height is 23 what is its base?

Answers

Answer:

7.36

Step-by-step explanation:

Area=92

Height=23

Base=?

Area=1/2*base*height

92=1/2*23*height

92=12.5*height

920/125=height

7.36=height

Pleae mention unit in answer

Mark me as brainliest

please help me!!!! i really need help!!! THANK YOU

explain how you got your answer = brainliest

Answers

Answer:

8.481 ft² .      I don't know if this is simplest form or not, but hopefully it is.

Step-by-step explanation:

How im going to do it is crafty, if i get it wrong im sorry.

Area circle = πr²

Area circle = 3.14 * 9 ≈ 28.27

28.27 / 360 = 0.07852777777

0.07852.777777 x 108 = 8.481

Answer = 8.481 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

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