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

which inequality best represents the graph?

Answers

Answer:

A   y ≥ (1/2)x + 5

Step-by-step explanation:

The shaded area is above the solid line

the correct symbol is

If f(x) = 28+x + 7, what is the value of f(-9), to the nearest
hundredth (if necessary)?

Answers

Answer:

26

Step-by-step explanation:

Problem: f(x) = 28 + x + 7

Plug in f(-9)

New equation: f(-9) = 28 + (-9) + 7

Simplify: f(-9) = 26

Answer: f(-9) = 26

^^^^ the man above me got it’s or under

Solve for x and show work

Answers

Answer:

Hi,

These are corresponding angles. Corresponding angles are congruent. So the equation would be 100=x+106. Do you think you can solve that? If you can't let me know and I will do it for you?

Step-by-step explanation:

Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5. 2 Find the area of the sector if the radius is 8cm show your work below 2 2 Show your work below. You have responded to 0 of 7 questions. Question Details Write an equation for a circle in standard form with a center at (-6, 5) and has a radius equal to 5.

Answers

Answer:

[tex](a)\ (x+6)^2 + (y-5)^2 = 25[/tex]

[tex](b)\ Area = 16.75cm^2[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex](a,b) = (-6,5)[/tex]

[tex]r = 5[/tex]

Required

The equation of the circle

This is calculated as:

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

So, we have:

[tex](x--6)^2 + (y-5)^2 = 5^2[/tex]

[tex](x+6)^2 + (y-5)^2 = 25[/tex]

Solving (b):

Given

[tex]r = 8cm[/tex]

[tex]\theta = 30^o[/tex] --- Missing from the question

Required

The area of the sector

This is calculated using:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{30}{360} * 3.14 * 8^2[/tex]

[tex]Area = \frac{1}{12} * 200.96[/tex]

[tex]Area = 16.75cm^2[/tex]

theres $10.30 and the discount is 25% how much will he save

Answers

Answer:

2.58 saved

Step-by-step explanation:

To find the discount, take the amount and multiply the discount percent

10.30 * 25%

10.30 *.25

2.575

Round to the nearest cent

2.58

Answer:

Step-by-step explanation:

2.58 saved

The triangle inequality

Answers

The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped

Which expression is equivalent to the given expression?
3r2 + 53 - 7(x2 + 4)
A.
x2 + 4
B. -412 + 51 - 4
OC.-4.2 + 51 – 28
D.
12 + 28

Answers

Answer:

C. - 4x^2 + 5x - 4

Step-by-step explanation:

just expand the equation and you'll get C

Answer:

O C.   [tex]-4x^2+5x-28[/tex]

Step-by-step explanation:

[tex]3x^2+5x[/tex] -7(x^2+4)      Distribute

[tex]3x^{2} +5x[/tex] -7x^2-28       Multiply - 7 by 4

3x^2 [tex]+5x[/tex] -7x^2 [tex]-28[/tex]   Combine Like Terms

-4x^2 [tex]+5x-28[/tex]           Final Answer

make q subject in formula
t=q/2 + 5

Answers

Answer:

[tex] q = 2(t - 5) [/tex]

Step-by-step explanation:

[tex]t = \frac{q}{2} + 5 \\ \\ t - 5 = \frac{q}{2} \\ 2(t - 5) = q[/tex]

hope this helps you.

Have a nice day!

Answer:

2 ( t - 5 ) = q

Step-by-step explanation:

t = q/2 + 5

subtract 5 from both side

t - 5 = q / 2 + 5 - 5t - 5 = q / 2

multiply each side by 2.

2 × ( t - 5 ) = q / 2 × 22 ( t - 5 ) = q

Simplify: 4x(x² - 3x + 1)

Answers

Answer:

[tex]4x\left(x^2-3x+1\right)[/tex]

[tex]Distribute\:parentheses[/tex]

[tex]=4xx^2+4x\left(-3x\right)+4x\cdot \:1[/tex]

[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]

[tex]+\left(-a\right)=-a[/tex][tex]=4x^2x-4\cdot \:3xx+4\cdot \:1\cdot \:x[/tex]

[tex]Simplify[/tex]

[tex]=4x^3-12x^2+4x[/tex]----------------------------hope it helps...have a great day!!

1
If f(x) = 3x + 2 and g(x)=x+1, which expression is equivalent to (fog)(x)?

Answers

Answer:

(3x+2)^2+1

Step-by-step explanation:

(f°g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1

Answer:

3(x+1) + 2

Step-by-step explanation:

can someone pls help for brainlest

Answers

Its C, he has 42 in total and needs 49 49-42=7. I can’t really see the last option well tho.


find the measure of the exter angle.

Answers

180-153 = 27 degrees

I think this should be the answer but I’m not so sure so good luck!!

What is the smallest 6 digit palindrome that can be divided by 99?

Answers

Answer: 54945

Smallest 5 digit number,which is also a palindrome and divisible by 99 is 54945

Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3

Answers

Answer:

B. 5070π in³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: V = πr²h

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify variables

r = 13 in

h = 30 in

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = π(13 in)²(30 in)Evaluate exponents:                                                                                         V = π(169 in²)(30 in)Multiply:                                                                                                             V = 5070π in³

Answer:

[tex]\large\fbox{B. 5070 π inches³}[/tex]

Step-by-step explanation:

We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-

The Volume of cylinder

Formula Used :-

Volume of cylinder = π × r ² × h

Where,

r is the radius of cylinderh is the height of cylinderSolution :-

Using Formula

➛Volume of cylinder = π × r ² × h

substitute the values into the formula

➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.

Evaluate exponent

➛ Volume of cylinder = π × 169 inches ² × 30 inches.

multiply, we get

➛ Volume of cylinder = 5070 π inches ³.

Therefore, option B which is 5070 π inches³ is the correct ☑ answer.

I know the answer, but I just wanna know if the answer I got was right or wrong, if I'm wrong help down please

Answers

Answer:

[tex]\frac{8}{10}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2} +\frac{3}{10}[/tex]

[tex]\frac{5}{10} +\frac{3}{10} =\frac{8}{10}[/tex]

Hope this is helpful

please help me solve
please show how you got the answer

Answers

Answer:

Step-by-step explanation:

New questions in Mathematics

In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side

Pls help this is due at 8 !!!!!!

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what is the estimate product of 345 and 34? [tex] \\ [/tex] ​

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Tn=2n-5 write down four term in a sequence

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Find the value of angle n

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Find the value of angle y

What is the midpoint of AB? A G H NT -9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 0000 4 5 6 7 8 9 point F O point G O point H pointi

Point A is reflected across line y=x and the n dilated by a factor of 3 using the origin as the center of dilation.

Given that a=3, b=-2 and c= -4, evaluate the following expression. 2c-a/3c+b - 5a+4c/c-a

Please help me asap!​

what is lcm of 15 and 143​

3, 6, 12,
The common ratio is

Answers

Answer:

The common ratio is 2.

Step-by-step explanation:

3 : 6 : 12

1 : 2 : 4

Ms. Merine calculated that her hoop earring has a diameter of 3.5 centimeters. What is the area of her earring?

Answers

Area= pie times the radius squared
The radius= half the diameter
The radius= 3.5/2 (1.75)
Pie times 1.75 squared= 9.62
Answer: 9.62

Write the following equation in slope y-intercept form and identity m and b.
x + 2y – 4 = 0

Answers

Answer:

Below:

Step-by-step explanation:

y = -0.5x + 2

m = -0.5

b = 2

I was thinking the answer was three but I’m not entirely sure help pls?

Answers

Answer:

3

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

PLEASE HELPP MEEE ASAPPPPP

Answers

Answer:

D) 24,32,40

Step-by-step explanation:

Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024.  24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.

1,600 = 576 + 1024.

Note:

Pls notify me if my answer is incorrect, for the other users that will see this message.

-kiniwih426

SUPER URGENT: Find cscθ.

Answers

Answer: -5/4

Step-by-step explanation: Cosecant is hypotenuse divided by the opposite side. The hypotenuse is 5 units, while the opposite side is 4 units. The answer has to be negative because the opposite side is below y=0.

Una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000. La empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días. Si la tasa de interés es del 24% anual, ¿cuál oferta le conviene aceptar

Answers

Answer:

La oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.

Step-by-step explanation:

Dado que una empresa, para comprar ropa de trabajo para su personal, tiene un presupuesto de $ 10.000, y la empresa pide cotizaciones y recibe las siguientes propuestas: a) pagar $ 5.000 al contado y $ 5.000 en 90 días; b) pagar $ 3.000 al contado; $ 3.000 en 30 días y $ 4.000 en 90 días; y c) pagar $ 2.000 al contado, $ 4.000 en 30 días y $ 4.000 en 84 días, si la tasa de interés es del 24% anual, para determinar cuál oferta le conviene aceptar se debe realizar el siguiente cálculo:

90 días = 1/4 año

30 días = 1/12 año

84 días = 23/100 año

365 = 1

85 = X

84 / 365 = 0.23

A) 5,000 + (5,000 x 1.06) = 5,000 + 5,300 = 10,300

B) 3,000 + (3,000 x 1.02) + (4,000 x 1.06) = 3,000 + 3,060 + 4,240 = 10,300

C) 2,000 + (4,000 x 1.02) + (4,000 x 1.023) = 2,000 + 4,080 + 4,092 = 10,172

Por lo tanto, la oferta más conveniente es la C, pues en ella se pagará menos dinero que en las dos anteriores.

Lee y contesta santiago quiere comer la mitad de un pastel y alba quiere un tercio del mismo pastel para repartirlo bien reducen las fracciones a comun denominador ¿en cuantas partes iguales deben dividir el pastel? ¿cuantas partes debe tomar cada uno?

Answers

Answer:

El pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.

Step-by-step explanation:

Dado que Santiago quiere comer la mitad de un pastel y Alba quiere un tercio del mismo pastel, para repartirlo bien se deben reducir las fracciones a su común denominador. Así, para determinar en cuántas partes iguales deben dividir el pastel y cuántas partes debe tomar cada uno se deben realizar los siguientes cálculos:

Santiago = 1/2

Alba = 1/3

2 x 3 = 6

Santiago = 1/2 = 3/6

Alba = 1/3 = 2/6

Por lo tanto, el pastel se debe dividir en 6 partes iguales, de las cuales Santiago debe tomar 3 y Alba debe tomar 2.

please help! I dont understand how to answer. i got x^2-9x+20=0 as my answer. am i incorrect?

Answers

Answer:

x² - 9x + 20

You are correct.

None of the listed choices are correct.

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

I think the question originally had 5 and -4 as the solutions

https://www.jmap.org/Worksheets/A.APR.B.3.ZerosofPolynomialsPR1.pdf

x = {-4, 5}

(x + 4)(x - 5) = 0

x² - 5x + 4x - 20 = 0

x² - x - 20 = 0     Answer E

Step-by-step explanation:

x = {4, 5}

y = (x - 4)(x - 5)

y = x² - 5x - 4x + 20

y = x² - 9x + 20

I need help please! 45 points :)

Answers

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 1 unit.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The area of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:area\:of\:the\:circle\:is\:3.14\:units².}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr² }[/tex]

[tex]=\:3.14 \times 1 \times 1 \: \: {units}^{2} \\ \\ = 3.14 \: \: {units}^{2} [/tex]

Therefore, the area of the circle is 3.14 units².

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]

Name the three similar triangles correspondingly. Start with the original right triangle LMK, then the remaining two right triangles created by the altitude MN.

Answers

Answer:

Step-by-step explanation:

Answer:△LMK △MNK △LNM

im pretty sure thats it

Select the correct answer.
What is the value of g(2)
10.
13 – 9x2 + 27r - 25,1 > 2
gix)
A. 2
D
B.
OC.
-1
D. 1
How do you do this

Answers

Answer:

D=1

Step-by-step explanation:

g(x)=x³-9x²+27x-25

g(2)=(2)³-9(2)²+27(2)-25

=8-36+54-25

=1

What is the value of f(5) in the function below?
f(x) = 1/4 •2x
A. 32
B. 16
C. 8
D.5/2

Answers

It’s easy trust me don’t make it hard on yourself !

First of all simplify the equation:

F(x)= 2/4(x)= 1/2(x)

Second step go ahead and replace x by 5 because it says f(5) in the question:

F(x)=(1/2)(5)= 5/2

Final answer:

F(x)= 5/2

I hope you understand my explanation and wish you all the best and good luck!!

Please Help ASAP!! Due today!!

Answers

Answer:

-4 equals p=2 and a and R are at point Y downwards.

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