There were 50,000 bacteria in a petri dish yesterday at noon, and 40,000 bacteria at noon today. if the trend continues, on what day at noon can you expect to find less than 5,000 bacteria?

Answer:

[tex]\displaystyle f^{-1}(x)=\frac{1}{5}x[/tex]

Step-by-step explanation:

[tex]f(x)=5x\\\displaystyle y=5x\\x=5y\\\frac{1}{5}x=y\\ f^{-1}(x)=\frac{1}{5}x[/tex]

The inverse of the given function f(x) will be x/5.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the inverse function f⁻¹(x) for f(x) = 5x, we can use the following steps:

Therefore, the inverse function of f(x) = 5x is f⁻¹(x) = x/5.

Note that f⁻¹(x) is not equal to -5x, 1/5x, or 5x.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ5

The coordinates of point Q after dilation will be (2,-1). The correct option is B.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that the coordinate is Q(8,-4). The point is dilated by a factor of 1/4.

The dilation of the point will be calculated as,

Q(8,-4) = Q'(8/4, -4 / 4)

Q(8,-4) = Q'(2, -1)

Hence the dilated point is Q'(2,-1).

To know more about coordinate geometry follow

brainly.com/question/17693563

#SPJ1

Answer:

<abc is 30*

<fde is 60*

Step-by-step explanation:

Hope this helps!

Answer:

$91.80 selling price

Step-by-step explanation:

A store pays $68 for a portable DVD player. the markup is 35% what is the selling price?

35% = 0.35

The multiplier for  markup of 35% = 1 + 0.35 = 1.35

68 * 1.35 = $91.80 selling price

Answer:

12

Step-by-step explanation:

2x3 4+5

A loop is a programming construct that allows a set of instructions to be repeated until a certain condition is met.

Function is a relation between input and output values, where each input is related to exactly one output. A function is a mathematical rule that assigns a unique output to each input. It is a process that produces a specific result from given inputs. Functions are used in many areas of mathematics, including algebra, calculus and geometry.

The loop can be used to execute a set of instructions multiple times, or it can be used to iterate over a collection of items such as an array. Loops are an important part of programming, as they allow for efficient and concise code.

Loops are especially useful when it comes to dealing with large datasets. For example, if you wanted to loop through an array of 100 elements, you could do so by writing a single loop statement. This allows you to quickly and easily process large amounts of data without having to write separate instructions for each element. Similarly, loops can be used to iterate over a collection of items such as a linked list or a hash table, making it easier to deal with complex data structures.

To know more about function click-
https://brainly.com/question/2456547

#SPJ4

Answer:

19 2/3

Step-by-step explanation:

8+11=19, & 5/12+1/4=8/12

Answer:

its either 63 or 64, im not really sure

According to the line of best fit, 79 consumers are predicted to use their card to pay during a day when 90 customers pay in cash. The correct answer is C.

The answer is 79. This is because the equation of the line of best fit is:

Which is a linear equation that represents the relationship between the number of customers who pay by cash (x) and the number of customers who pay by card (y).

To use this equation to predict the number of customers who pay by card on a day when 90 customers pay by cash, we can substitute x = 90 into the equation:

79.28 ≈ 79, hence the correct answer is C.

Learn more about equivalent equation here: brainly.com/question/2972832

#SPJ4

Answer:

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

Given expression:

Rewrite it as follows, to get only positive exponents:

Answer: C

Step-by-step explanation:

Answer:

for anyone with the quiz its B!!

i just guessed at random and it was right.

If the scale factor is 1/2, then every coordinate point of the original triangle is multiplied by the scale factor 1/2.

To learn more about dilate a triangle refers to:

brainly.com/question/29634916

#SPJ4

The sum of the first 47 terms of the following series is 6016

The series of numbers is an arithmetic progression.  In an arithmetic progression, the subsequent terms are gotten by the addition of a common difference to the terms.

The series is 13, 18,23,...

The first term is = 13.

The common difference is = 18-13 = 5

The nth term is 47

the formula for sum of nth term is given by

Sn = n/2{2a + (n-1)d}

S₄₇ = 47/2{2*13 + (47-1)5}

Simplifying the expression we have

S₄₇ = 23.5 [26 + (46*5)]

S₄₇ = 23.5 [26 +230]

S₄₇ = 23.5 * 256

This shows that the S₄₇ = 6016

Learn more about sequences on https://brainly.com/question/30262438

#SPJ1

Answer:

48

Step-by-step explanation:

[tex]\frac{8}{5}[/tex] = [tex]\frac{x}{30}[/tex]

In the ratio there are 5 totts.  The farmer has 30 totts.

5 x 6 = 30, so 8 x 6 = 48

Answer:

Step-by-step explanation: i pretty sure it 240 because there is 8 on every 5 so 8x5 and there is 8 on every 30 8x30=240

Enlarge the shape by scale factor 3.

To expand a form, multiply all of its lengths by the scaling factor. The scale factor indicates how much larger the shape will be. For example, increasing a form by a scale factor of two means that all of its sides will be twice as long. This rectangle measures one square broad by two squares long.

To employ a center of enlargement, we must draw lines from the center of enlargement to the original shape’s vertices. These are known as ray lines. E.g. Triangle ABC has been expanded by a scale factor of 2 around an expansion point O.

To learn more about Scale factor to refer:

https://brainly.com/question/22644306

#SPJ4

The rate of increase in the circumference of the circle at the instant when the radius of the circle is 3 meters is 3 phi m/s

From the question, we have the following information :

1. Constant rate of increasing radius with respect of time (t)

  = [tex]\frac{dR}{dt}[/tex] = 0.5 m / s

2. Radius of circle is 3 meters ( 3m )

To find constant rate of increasing circumference, we have to know formula of circumference.  

We know that circumference = 2 π R

Constant rate of increasing circumference with respect of time (t) can be formulated from contant rate of increasing radius multiply with formula to find circumference

[tex]\frac{dC}{dt}[/tex] = 2πR [tex]\frac{dR}{dt}[/tex]

[tex]\frac{dC}{dt}[/tex] = 2πR ( 0.5 )

    = πR

From above equation, we know that the rate of increasing circumference is πR

When R = 3 m, we just simply subtitute πR with R=3

The constant rate will be :

Rate of increasing circumference = πR m/s

                                                        = π (3) m/s

                                                        = 3π m/s

More about The rate of increasing circumference of circle here

https://brainly.com/question/4268218

#SPJ4

The polynomial equations are

A = x^(1/4) - ∛x + 4√x - 8x + 16

B = 3x² - 5x⁴ + 2x - 12

C = x³ - 7x² + 9x - 5x⁴ - 20

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

The non polynomial equations are

E = 4/x⁴ + 3/x³ - 2/x² - 1

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equations be represented as A , B , C , D , E , F

Substituting the values in the equation , we get

And , any algebraic equation with a negative exponent or fractional exponent is not a polynomial equation. So , expressions with negative exponents are not polynomials.

A = x^(1/4) - ∛x + 4√x - 8x + 16

It is a polynomial

B = 3x² - 5x⁴ + 2x - 12

It is a polynomial

C = x³ - 7x² + 9x - 5x⁴ - 20

It is a polynomial

D = x⁵ - 5x⁴ + 4x³ - 3x² + 2x - 1

It is a polynomial

E = 4/x⁴ + 3/x³ - 2/x² - 1

It is not a polynomial

F = x⁻⁵ - 5x⁻⁴ + 4x⁻³ - 3x⁻² + 2x⁻¹ - 1

It is not a polynomial

Hence , the polynomials are solved

To learn more about polynomial click :

https://brainly.com/question/13199883

#SPJ1

The x-axis "ends" of a function's graph are referred to as the function's "end behavior" in mathematical terms.

Its simplest form is thought to be the number's smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and numerator. A fractional number can be checked to discover if it is a prime number. A statement having two equal sides and an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in descending order in the general form of any equation. The formula for a linear equation is x + b = 0. The general form of a two-variable linear equation is an x + b y + c = 0. (or something similar). Either conditional equations or identities are categories for equations. An identity holds true for whatever value of the variables.

given

The x-axis "ends" of a function's graph are referred to as the function's "end behavior" in mathematical terms.

In other words, if we look at the graph's trend from the right end of the x-axis (as x approaches +) and the left end (as x approaches ), the end behavior of a function describes both.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The complete question is :-

What do you mean by end behavior of equation ?

Answer:

Here is your answer

((1 * 4) ^ 2) ^ 6 =

(4 ^ 2) ^ 6 =

16 ^ 6 = 16777216

Step-by-step explanation:

Answer: 16777216

Step-by-step explanation:

This cuboid's total surface area measured 5cm, 4cm, and 6cm is 120 cm³.

The surface area of a solid item is a measurement of the entire area occupied by the object's surface. The total surface area includes the base(s) and the curving portion. It is the whole area covered by the object's surface. The total area of a form with a curved surface and base is the sum of the two areas. The total surface area is obtained by summing all the areas on the surface: the areas of the object's base, top, and lateral surfaces (sides).

Here,

total surface area of cuboid,

=l*b*h

=5*4*6

=120 cm³

The total surface area of this cuboid measured 5cm, 4cm and 6cm is 120 cm³.

To know more total surface area,

https://brainly.com/question/8419462

#SPJ1

Answer:

Step-by-step explanation:

The proportional relation is y= 2.2x

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Neena counts 11 beats in 5 seconds

So, x=11 and y=5

Using the proportionality

y = k x

k= y/x

k= 11/5

k= 2.2

Hence, the proportional relation is y= 2.2x

Answer:

2.2

Step-by-step explanation:

1. COP= constant of proportionality

What does that mean? This is how much of something you need for the variables to be proportional no matter their value. For example, if you pay 1.99 for 1 gallon of gas but then 30 dollars for 2 gallons at the same gas station, it doesn't make sense. You need to pay $3 for 2 gallons, and so on.

2. How do we find COP?

K is going to represent the constant of proportionality (COP), what we are solving for. Your equation should be k=b/a.

3. B is what comes first in the ratio, and is second. They said "beats to minutes" so beats= b and minutes= a

3. Solve: 11/5= 2.2

The width of the screen  is 15.65 inches

The diagonal , the width and the height form a right angle. A right triangle is a triangle that has three sides known as the opposite, adjacent and hypotenuse. The hypotenuse is the longest sides of the triangle.

The width  can be determined using Pythagoras theorem

The Pythagoras theorem: a² + b² = c²

where:

14² + b = 21²

b = 21² - 14²

b² = 441 - 196

b² = 245

b = √245

b = 15.65 inches

To learn more about right angled triangle, please check: https://brainly.com/question/20694080

#SPJ1

Memorizing algebra rules can be challenging, but a few strategies may help: Practice, Mnemonics, Repeat, and Use flashcards.

It's important to note that memorizing rules is not the best approach to understanding the concepts, the best approach is to understand the concepts, and the rules will come naturally.

Learn more about algebra rules here: https://brainly.com/question/30170099

#SPJ4

The length of each segment is: DF=3, FR= 2 2/3, DE=3, GH=4 1/2, EH= 4 5/6.

Length of each segment

16. Length of segment DF

DF=-1-(-4)

DF=3

19. Length of segment FR

FR=-1 1/3-(-4)

FR= 2 2/3

17. Length of segment DE

DE=2 -(-1)

DE=3

20. Length of segment GH

GH= 3 1/2 -(-1)

GH=4 1/2

18. Length of segment FG

FG=3 1/2 -2

FG=1 1/2

21. Length of segment EH

EH=3 1/2-(-1 1/3)

EH= 4 5/6

Therefore the length of each segment is: DF=3, FR= 2 2/3, DE=3, GH=4 1/2, EH= 4 5/6.

To learn more about length refer

https://brainly.com/question/28322552

#SPJ1

Answer:

large to-go boxes: $45.49/case (200 boxes per case)

small to-go boxes: $45.51/case (400 per case)

Step-by-step explanation:

large to-go boxes: $25.49/case (150 boxes per case)

small to-go boxes: $40.51/case (500 per case)

to-go cups w/ lid: $37.50/case (500/case)

You are given the line, y=-2x-5. This line is in slope-intercept form, y=mx+b, where m is the slope (or gradient) and b is the y-intercept.

The gradient of the given line is -2 and the y-intercept is -5.

2 types of scale are Nominal Scale, Ordinal Scale

To learn more about  Nominal Scale, Ordinal Scale refers to:

brainly.com/question/28500245

#SPJ4

There are two types of scales: nominal scale and ordinal scale.

Nominal scales are named scales where variables are simply "named" or labeled in no particular order. Ordinal scales go beyond mere naming to include all variables in a specific order. Interval scales provide the label, order, and specific spacing between each variable option.

This measurement level classifies data using alphanumeric characters or names. For example, if gender is the variable, the answer is male or female. Ordinal:

Ordinal level variables have the following meaningful order: B. rank

An ordinal scale is a measurement scale that assigns values ​​to objects based on their ranking with respect to each other. For example, a doctor might use a 0 to 10 scale, ranging from 0 (no improvement) to 10 (condition disappeared) to indicate the degree of improvement in the condition.

To learn more about Nominal Scale, Ordinal Scale visit:

brainly.com/question/28500245

#SPJ4

The graph of the function is attached. The given function has no solution.

Given is the function as -

[tex]f\left(x\right)=2\left(x\right)^{2}+5\sqrt{\left(x+2\right)}[/tex]

The given function is -

[tex]f\left(x\right)=2\left(x\right)^{2}+5\sqrt{\left(x+2\right)}[/tex]

The graph of the function is attached. The given equation has no solution.

Therefore, the graph of the function is attached. The given function has no solution.

To solve more questions on graphs, visit the link below-

brainly.com/question/1041084

#SPJ1