The population of a specific strain of bacteria in a culture medium is given by f(x) = x + 3 where f(x)is the population in millions and x
is the time in hours. Find the piecewise function that matches this absolute value function. Then, graph the function using a graphing calculator
and describe what you see.

​

Answer:

A. 12 edges. 6 vertices, and 8 faces.

Step-by-step explanation:

The edges are the places where the faces meet. They can be easily identified as the lines that form the shape. There are 12 edges.

The vertices are the places where the edges meet. They are more commonly known as the corners of the figure. There are 6 vertices.

The faces are the flat sides/surfaces of the figure. In this case, the faces are the triangles. There are 8 faces.

Hope this helps!

The given figure has 12 edges, 6 vertices, and 8 faces. This can be obtained by understanding what edges, vertices and faces are and counting them.

In the given figure we can count  the edges, vertices and faces.

It is observed that there are 12 edges, 6 vertices, and 8 faces.

Hence the given figure has 12 edges, 6 vertices, and 8 faces. The correct answer is A.

Learn more about edges, vertices and faces here:

brainly.com/question/34809398

#SPJ2

The formula for area of a circle is:

A = [tex]\pi r^{2}[/tex]

In this case the radius is 7.4 cm so...

pi * 7.4^2

pi * 54.76

172.0033

so...

172.0 cm^2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

about 13.6

Step-by-step explanation:

Assuming DEF is a right triangle, you use trig functions to solve this problem. Out on sin, cos, and tan, sin would work for this problem. You plug in the numbers and put it into a calculator. This gives you the answer after you round to the nearest tenth. See work for more.

Answer: 6.4

Step-by-step explanation: trust

Answer: 830.7 per square mile.

Step-by-step explanation:

The formula for population density is Number of people divided by total area.

11,547 divided by 13.9 is 830.7.

Hope this helps!

The population density of Covington, Georgia is calculated by dividing the total population (11,547 people) by the total area (13.9 square miles). The result is approximately 830.79 people per square mile.

The population density of a place is calculated by dividing the total population by the total area. In this case, Covington, Georgia, has a total population of 11,547 people and a total area of 13.9 square miles. Thus, to determine the population density, we will use the following formula: Population Density = Total Population / Total area.

By substituting our given numbers into this formula, we would get: Population Density = 11,547 / 13.9. This calculation results in a population density of approximately 830.79 people per square mile for Covington, Georgia.

https://brainly.com/question/35913306

#SPJ11

Answer:

D. [tex]A\subset \mathbb{R}\times\mathbb{R}.[/tex]

Step-by-step explanation:

Consider the set

[tex]A=\left\{(2,3),\ (5,1),\ (-3,-2),\ (0,3)\right\}[/tex]

This set consists of four ordered pairs.

The first numbers in these pairs are [tex]2,\ 5,\ -3,\ 0.[/tex] These numbers are integer numbers (not natural, because -3 is negative).

The second numbers in these pairs are [tex]3,\ 1,\ -2,\ 3.[/tex] These numbers are integer numbers too (not natural, because -2 is negative).

Options contain only natural and real sets, so, the first and the second numbers are real numbers and

[tex]A\subset \mathbb{R}\times\mathbb{R}.[/tex]

Answer:

D. R X R

Step-by-step explanation:

The answer is choice D because, the set of the actual numbers of R has a 0 so A is a subset of R X R

for the first part:

Let's solve for x.

−x+3y=14

Step 1: Add -3y to both sides.

−x+3y+−3y=14+−3y

−x=−3y+14

Step 2: Divide both sides by -1.

−x/−1  =  −3y+14/−1

x=3y−14

Answer:

x=3y−14

Second part:Let's solve for x.

3x−3y=−6

Step 1: Add 3y to both sides.

3x−3y+3y=−6+3y

3x=3y−6

Step 2: Divide both sides by 3.

3x/3= 3y−6/3x=y−2

Answer:

x=y−2

Answer:

31

Step-by-step explanation:

Do the subtraction: 37 - 6 = 31

Answer:

The range of the function is [0 , ∞) ⇒ answer B

Step-by-step explanation:

* lets revise the meaning of the domain and the range

- The domain is the values of x

- The domain is all the values of x which make the function is defined

- If there are some values of x make the function undefined, we

 exclude these values from the domain

- The range is the values of f(x) which corresponding to the value of x

* Now lets look to the figure

∵ f(x) = √x

- We can not use the negative values for x because there is no

 square root for negative numbers

∴ All real negative numbers make the function undefined

- We must exclude them from the domain

∴ The domain is all real numbers greater than or equal zero

∴ x ≥ 0

- To find the range use the first value of the domain

∵ the first value of x = 0

∴ f(0) = √0 = 0

∵ x can not be negative

∵ f(x) = √x

∴ f(x) can not be negative

∴ the range is all real numbers greater than or equal zero

∴ f(x) ≥ 0

OR

f(x) = [0 , ∞)

* The range of the function is [0 , ∞)

Answer:

D. [tex]y=3\cos \left(\dfrac{4}{3}x-2\pi\right)+2[/tex]

Step-by-step explanation:

The period of the functions [tex]y=\cos x,\ y=\sin x[/tex] is [tex]2\pi.[/tex]

The period of the function [tex]y=a\cos (kx+b),\ y=a\sin(kx+b)[/tex] is ALWAYS [tex]\dfrac{2\pi}{k}[/tex]

In your case, you have function [tex]y=-3\sin \left(\dfrac{2}{3}x-2\pi \right)+2[/tex] and this function has the period

[tex]\dfrac{2\pi}{\dfrac{2}{3}}=3\pi.[/tex]

You need to find the function that will have the period that is half of [tex]3\pi,[/tex] so

[tex]\dfrac{3\pi}{2}=\dfrac{2\pi}{k}\\ \\3k=4\\ \\k=\dfrac{4}{3}.[/tex]

So, correct choice is

[tex]y=3\cos \left(\dfrac{4}{3}x-2\pi\right)+2[/tex]

Answer:

The answer is y = 3 cos(4/3 x - 2π) + 2 ⇒ last answer

Step-by-step explanation:

* Lets revise the sine function

- If we have a sine function of the form f(x) = Asin(Bx + C) + D, where

 A, B , C and D are constant, then

# Amplitude is A

- The Amplitude is the height from the center line to the peak .

 Or we can measure the height from highest to lowest points and

 divide that by 2

# Period is 2π/B

- The period goes from one peak to the next

# phase shift is C (positive is to the left)

- The Phase Shift is how far the function is shifted horizontally  

 from the usual position.

# vertical shift is D

- The Vertical Shift is how far the function is shifted vertically from

 the usual position.

* Now lets solve the problem

∵ y = -3sin(2/3 x - 2π) + 2

- the period is 2π ÷ 2/3 = 2π × 3/2 = 3π

∴ The period of the function is 3π

- We look for a function has one-half (3π), means 3π/2

* Lets look to the answer to find the right one

- All of them have the same value of B except the last one, lets

 check it

∵ y = 3cos(4/3 x - 2π) + 2

∵ B = 4/3

∴ The period = 2π ÷ 4/3 = 2π × 3/4 = 6π/4 = 3π/2

∵ 3π/2 is half 3π

∴ The last answer is right

Answer:

6/6

Step-by-step explanation:

If a standard number cube has six sides and all the numbers are larger than 0 you have a 6/6 chance

The correct answer is A. Hundreds. I hope this helps : )

A is the correct answer

Answer:

Step-by-step explanation:

0.25

Answer:

Between 2 and 3 scoops

and 10 divided by 4

Step-by-step explanation:

Answer:

Yellow of course but it depends on how you look in the colors

Step-by-step explanation:

Answer:

If your day is not feeling good then I would recommend a yellow to brighten it up. If your day is already good but feeling not good where a purple to stand out. Good Luck I hope your day is doing well!!

Step-by-step explanation:

The fourth point would need to be at the top and in line horizontally with The point at (3,4) so the Y value needs to be 4.

The first top red dot is 2 units to the right of the lower dot, so the 4th dot needs to be 2 units to the right on the other lower dot.

The 4th point needs to be at (7,4)

The answer is B.

Answer:

b 7,4

Step-by-step explanation:

Answer:

x^7

Step-by-step explanation:

The expression is written as a single exponent in x⁷

Index forms are forms used to represent numbers or variables that are too large or small in more convenient forms.

From the information given, we have that the expression is;

x to the ninth over x squared

This is represented as;

x⁹/x²

Since the forms are of like bases, subtract the exponents, we get;

x⁹⁻²

Subtract the exponents, we get;

x⁷

Learn more about index forms at: https://brainly.com/question/15361818

#SPJ6

Answer: the polygones name is a hexagon i believe

Step-by-step explanation:

hex means six in greek and has an internal angle of 120 so the correct ansewer is a hexagon.

A polygon with six vertices is called a hexagon.

It is a two-dimensional figure with six sides and six angles. Hexagons are common in various real-life patterns and have properties like area and perimeter.

A polygon plotted on a coordinate plane with six vertices is known as a hexagon. A hexagon is a two-dimensional geometric figure with six angles and six sides.

Polygons are closed figures made up of straight line segments. When the polygon has six sides, it has interior regions and exterior regions that divide the plane it lies on. Each vertex connects two sides of the hexagon, forming angles at each vertex.

Answer:

it would be 3 because if you list words then just divide 12 by 4 and you get 3

The number of the 4 letter words that can be made from a list of 12 letters will be 495.

Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Then the number of the 4 letter words can be made from a list of 12 letters will be

¹²C₄ = 12! / [(12 - 4)! x 4!]

¹²C₄ = 12 x 11 x 10 x 9 x 8! / 8! x 4 x 3 x 2 x 1

¹²C₄ = 11 x 5 x 9

¹²C₄ = 495

More about the combination link is given below.

https://brainly.com/question/11732255

#SPJ2

What the object adds up to

Let's call the first unknown integer x and the second one y.

"Four times an unknown integer"

"Multiplied by three times the unknown integer plus a different unknown integer"

"Equals 100."

And so the answer is C: 12x²+4xy-100=0

12x²+4xy-100=0. The equation that represents the statement of the problem is 12x²+4xy-100=0.

The equation is represents by  "Four times an unknown integer, multiplied by three times the unknown integer plus a different unknown integer, equals 100."

First, we have the statement "four times an unknown integer", this is:

4x

Then, multiplied by three times the unknown integer plus a different unknown integer, that is:

4x(3x+y)

And finally, the equation above is equals to 100.

4x(3x+y)=100

Operating

(4x)(3x)+(4x)(y)=100

12x²+4xy=100

Then,  subtracting 100 on both sides of the equation.

12x²+4xy-100=100-100

Obtaining

12x²+4xy-100=0

Answer:12.66667

Step-by-step explanation:

Answer:

Average = (sum of numbers) ÷ (the amount of numbers)

a = (12 + 13 + 13) ÷ 3

a = 38/3 = 12.6...

Answer:

Step-by-step explanation:

= 12.50

12.50

13,5 = 18

To solve the problem, Connie can use the concept of proportion by setting up an equation with the given ratios.

By cross-multiplying and solving for x, the cost of 18 boxes of cereal can be determined.

To solve this problem, Connie can use the concept of proportion.

A proportion is an equation that states that two ratios are equal.

In this case, the ratio of the cost of 5 boxes of cereal to the number of boxes is equal to the ratio of the cost of 18 boxes of cereal to the number of boxes.

Let's set up the proportion:

5 boxes / $12.50 = 18 boxes / x

To solve for x, we can cross-multiply:

5x = 18 * $12.50

Now, divide both sides by 5 to isolate x:

x = (18 * $12.50) / 5

Calculate the value of x to find the cost of 18 boxes of cereal.

Answer:

64 in2

hope it helps (:

Answer:

A

Step-by-step explanation:

it is what it is; you either know it or you don't.

Answer:

[tex]\large\boxed{\text{The slope}\ m=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (-4, 2) and (2, 6). Substitute:

[tex]m=\dfrac{6-2}{2-(-4)}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}[/tex]

Answer:

6

Step-by-step explanation:

the square root is basically exponents 6*6 is 6^2 which is 36.  

Answer:

hey user!

your answer is here...

laws ( rules ) of reflection are :-

• angle of incidence is equal to angle of reflection.

• the incident ray, Normal ray and reflected ray all lie in same plane.

cheers!!

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

4(-3 +15) = 48

4(4 + 2 + 5) = 44

4(7 + 2 + 3) = 48

4(8 + 6-2) = 48

4(-2-4 + 16) = 40

We are required to select all expressions equivalent to 48

All expressions are equivalent to 48 except 4(4 + 2 + 5) and 4(-2-4 + 16)

Check all options:

= 4(12)

= 48

= 4(11)

= 44

= 4(12)

= 48

= 4(12)

= 48

= 4(10)

= 40

Therefore, all expressions are equivalent to 48 except 4(4 + 2 + 5) and 4(-2-4 + 16)

Read more:

https://brainly.com/question/14343845

Answer:

B) 511

Step-by-step explanation:

1. How many pennies are in the last square:

Sequence: # of pennies = 2^(box # - 1)

Plug in: # = 2⁸

Solve: # of pennies in box 9 = 256

2. Process of elimination:

Not C or D, since the total must be greater than 256.

So the answer is B, not A, since 2⁰ + 2¹ ... 2⁷ = 2⁸ + 1.

Final answer:

Using the formula for the sum of a geometric sequence, we find that a total of 511 pennies will be placed on the board after the 9 squares are filled, following the sequence where each square has double the pennies of the previous one.

Explanation:

The student is asked to calculate the total number of pennies used when they are placed in each of the 9 squares of a board following a geometric sequence, starting with 1 penny and doubling the amount in each subsequent square. To find the total, we use the formula for the sum of the first n terms of a geometric sequence, which is Sn = a1(1 - [tex]r^{n}[/tex])/(1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms.

In this case, a1 = 1 (first square), r = 2 (doubling each time), and n = 9 (nine squares). Therefore, the sum is:

The correct answer is B: 511 pennies will be used in total when every square is filled.

Answer:

28.25 square units

Step-by-step explanation:

A circumference of the circle is

[tex]C=2\pi r,[/tex]

where r is the radius of the circle.

So,

[tex]18.84=2\pi r\\ \\r=\dfrac{18.84}{2\pi}=\dfrac{9.42}{\pi}\ cm[/tex]

The area of the circle is

[tex]A=\pi r^2[/tex]

Substitute the value of the radius:

[tex]A=\pi \cdot \left(\dfrac{9.42}{\pi}\right)^2=\dfrac{9.42^2}{\pi}\approx 28.25\ un^2[/tex]

Answer:

Step-by-step explanation:

18.84=2\pi r\\ \\r=\dfrac{18.84}{2\pi}=\dfrac{9.42}{\pi}\ cm

The area of the circle is

For this case we have the following equations:

[tex]f (x) = \sqrt {6x}\\g (x) = x-3[/tex]

We must find [tex](f_ {o} g) (x):[/tex]

By definition of composition of functions we have to:

[tex](f_ {o} g) (x) = f (g (x))[/tex]

So:

[tex](f_ {o} g) (x) = \sqrt {6 (x-3)}[/tex]

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined. That is to say:

[tex]6 (x-3) \geq0\\(x-3) \geq0\\x \geq3[/tex]

Then, the domain is given by [3, ∞)

Answer:

The smallest number that is the domain of the composite function is 3

Answer:  on Plato I got it wrong for the answer 3

Step-by-step explanation:

Answer:

Part 1)

a) The ratio of the heights of the similar solids is 5/1

b) The ratio of the surface areas of the similar solids is (5/1)²=25/1

c)  The ratio of the volumes of the similar solids is (5/1)³=125/1

Part 2) Two spheres with different radii measurements are always similar

Part 3) The volume of the sphere is greater than the surface area of the sphere

Step-by-step explanation:

Part 1) we know that

The ratio of the corresponding heights of the similar solids is equal to the scale factor

The ratio of the surface areas of the similar solids is equal to the scale factor squared

The ratio of the volumes of the similar solids is equal to the scale factor elevated to the cube

In this problem

The scale factor is 5/1

therefore

a) The ratio of the heights of the similar solids is 5/1

b) The ratio of the surface areas of the similar solids is (5/1)²=25/1

c)  The ratio of the volumes of the similar solids is (5/1)³=125/1

Part 2)

we know that

Figures can be proven similar if one, or more, similarity transformations (reflections, translations, rotations, dilations) can be found that map one figure onto another.  

In this problem to prove that two spheres  are similar, a translation and a scale factor (from a dilation) will be found to map one sphere onto another.

therefore

Two spheres with different radii measurements are always similar

Part 3) The length of the diameter of a sphere is 8 inches

The volume of the sphere is equal to

[tex]V=\frac{4}{3}\pi r^{3}[/tex]

we have

[tex]r=8/2=4\ in[/tex] -----> the radius is half the diameter

substitute

[tex]V=\frac{4}{3}\pi (4)^{3}[/tex]

[tex]V=85.33\pi\ in^{3}[/tex]

The surface area of the sphere is equal to

[tex]SA=4\pi r^{2}[/tex]

substitute

[tex]SA=4\pi (4)^{2}[/tex]

[tex]SA=64\pi\ in^{2}[/tex]

therefore

The volume of the sphere is greater than the surface area of the sphere