The meaning of the 4! ( factorial ) in mathematics is equal to ( 4 × 3 × 2 × 1 ).
As given in the question,
Given expression in mathematics is written as :
4! ( factorial )
In standard form meaning of the n! ( factorial ) is given by multiplication of all the terms in decreasing order till 1.
It is expressed as:
n! = n × ( n - 1 ) × ( n - 2 ) × ( n - 3 ) × ........× 3 × 2 × (n - (n - 1) ).
Apply this formula for 4! ( factorial ) we get,
4! ( factorial )
= 4 × ( 4 - 1 ) × ( 4 - 2 ) ×( 4 - 3)
= 4 × 3 × 2 × 1
= 12
Therefore, the meaning of 4! ( factorial ) in mathematics is given by
4 × 3 × 2 × 1 .
The above question is incomplete , the complete question is :
What does 4! ( factorial ) mean in mathematics?
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Brady tosses a coin three times. Each toss could be heads or tails. Which
outcome would be included in the compound event "at least two tails"?
The outcome for the event "at least two tails" is HTT. Option B
A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.
HHH → All heads
HHT → Two heads + one tail
HTH → Two heads + one tail
HTT → Two tails + one head
THH → One tail + two heads
THT → Two tails + one head
TTH → Two tails + one head
TTT → All tails
Therefore, At least two tails means → Sample space outcome with two tails Or all tails
Therefore, from the given options HTT is having two tails. Option B is the correct option.
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A circle is the set of all points that are the same distance from one given point. Find an example that contradicts this definition. How would you change the definition to make it more accurate?
An example that contradicts this definition would be an ellipse that set all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
A circle is defined as the set of all points that are the same distance from one given point, called the center of the circle. An example that contradicts this definition would be an ellipse, which is defined as the set of all points such that the sum of the distances between the point and two other fixed points (called foci) is constant.
An ellipse is not a circle since all points of an ellipse are not equidistant to the center point
To make the definition more accurate, it could be modified to say "A circle is defined as the set of all points that are a fixed distance from one given point, called the center of the circle." or "A circle is defined as the set of all points such that the distance between the point and the center is constant"
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pls explain don't just give me the answer:
simplify each expressions
a) x+x+x+x
b) k+6k-3k
PLEASEEE HELPPP!!!!
5/2
Irrational
Rational
Answer:
Rational
Step-by-step explanation:
PLEASE HELP!!! DUE SOON!! NO LINKS ARE RANDOM WORDS!! Each day there are eight million withdrawals from 32,000 ATM machines. What is the average number of withdrawals per machine?
Answer:
250
Step-by-step explanation:
Answer:
250 withdraws per machine
Step-by-step explanation:
8,000,000/32,000
The word "per" indicates division/multiplication.
A grocery store has increased its prices over time. The price per pound of apples in 2016 was $0.45. Today, the price per pound of apples is $0.85.
What is the equation of the line that would represent the price increase per pound of apples over time?
Answer:
C = 0.06x + 0.45
Step-by-step explanation:
Today is 2023
So, from 2016 to 2023, it has been 7 years.
0.85 - 0.45 = $0.40
So, $0.40 is the increase in 7 years
0.40 / 7 = $0.06
So, $0.06 is the change per year
Let C represent the total cost and x represent the number of years and we have
C= 0.06x + 0.45
A principal randomly chose 40 students from grade 7. Of these students, 9 were wearing watches. Based on this information, what is the most reasonable prediction of the number of students wearing watches in a group of 480 students from grade 7?
F 180
G 12
H 360
J 108
Answer:
108
Step-by-step explanation:
480 is 12 times more then 40 therefore 108 is 12 times 9 so it's the answer
Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned, how many cookies were made? Only 90% of the cookies Imani made were sold. How many of the cookies were left after the bake sale?
If Imani was assigned to make 64 cookies for the bake sale. If Imani made 25% more than they were assigned. The number of cookies that were left after the bake sale is: 8.
How to find the cookies left?Number of cookies sold:
Number of cookies sold = 0.90 × [(1+.25)×64]
Number of cookies sold = 0.90 × [(1.25)×64]
Number of cookies sold = 0.90 × 80
Number of cookies sold = 72
Number of cookies left:
Number of cookies left = 80 - 72
Numbers of cookies left = 8
Therefore the number of cookies left is 8 cookies.
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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
i am not 100% sure but i think it would be C
does multiplying 2 numbers together always give the first common multiple of the numbers? explain using examples
Solve for x. Leave your answer in simplest radical form.
X
12 ft
16 ft
HELP ASAPPP
Answer:
x = 4√7
Step-by-step explanation:
You can use the pythagorean theorem which is a² + b² = c²
if you plug it in, it would be...
x² + 12² = 16²
x² + 144 = 256, subtract 144 to both sides
x² = 112, square root both sides to make x by itself.
x = 4√7
Question
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each customer buys 2 items.
Let c represent the number of additional customers Joshua must have to meet his goal.
Drag and drop the answer into the box to correctly complete the statement.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Joshua needs to have more than Response area additional customers to meet his goal.
Joshua will need 7 additional customers.
How to determine the number of customers he needs?
The parameters that will help us to determine the number of customers is give as follows:
Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each customer buys 2 items.
Since Joshua's goal is to sell more than 20 items at a farmers' market and he has sold 6 items. and If each of his customers buys 2 items, the number of additional customers needed will be:
= (20 - 6) / 2
This is given as 14 / 2
The the number of customers needed = 7
In conclusion He will need 7 additional customers.
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please help me if you can ( links = report )
Use the properties of logarithms to expand log (3^2xy) as much as possible.
Answer:
I have no idea
Step-by-step explanation:
What would a 11% decrease of 212 be?
Answer:
I believe 188.68
Answer:
188.68
Step-by-step explanation:
first we divide 11/100 =0.11 then 0.11*212= 23.32
then 212-23.32= 188.68
Please look at image!
Answer:
8) 1/3, 0.33, 33 1/3%
9) 2/3, 0.67, 66 2/3%
Step-by-step explanation:
pleaseeeeee helpppppp i dont understand
Answer: C. 12
Step-by-step explanation: Hope this help :D
What is reasonable first step that can be used to solve the equation 2(x+6)=3(x-4)+5?
Answer:
Distribute 2 to (x + 6) and 3 to (x-4)
Step-by-step explanation:
Please solve area of figure
Formula and radius of figure in the picture
Area of circle and formula and radius of circle is 9 pi ( x y ^3 )^3.
How can you calculate area using pi and radius?A circle's area is equal to pi times the radius squared (A = r2).
Pi times the radius r squared equals the area of a circle.
π ⋅ ( r a d i u s)2
In the formula for the area of a circle, substitute the value of the radius r =3. 3.14 is about how big a number pi is.
pi * 3^2
Raise 3 to the power of 2 to arrive at 9.
pi * 9
9 must be moved to the left of. 9 pi ( x y ^3 )^3.
Area of circle and formula and radius of circle is 9 pi ( x y ^3 )^3.
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Find the equation of the circle whose center and radius are given.
center ( -2, -5), radius = 1
Answer:
(x + 2)^2 + (y + 5)^2 = 1
Step-by-step explanation:
Since this circle is centered at (-2, -5), we have to add values within the squares. The standard form of a circle equation is:
(x - h)^2 + (y - k)^2 = r^2
So -2 is h and -5 is k. Substituting that in we get:
(x + 2)^2 + (y + 5)^2 = r^2
We are given the radius is 1, and one squared is one, so the final equation is:
(x + 2)^2 + (y + 5)^2 = 1
If Mr. Brust can bambam 8 jamjams in 12 whamwhams, the how many jamjams can he bambamin 33 whamwhams? (Yes, I know this is weird)
Answer: 22 jamjams in 33 whamwhams
Step-by-step explanation:
33 ÷ 12 = 2.75 = 12 x 2.75 = 33
2.75 x 8 = 22
Answer:
Mr. Brust can bambam 22 jamjams in 33 whamwhams.
Step-by-step explanation:
Mr. Brust can bambam 8 jamjams in 12 whamwhams.
Mr. Brust can bambam x jamjams in 33 whamwhams.
Use a proportion.
8/x = 12/33
12x = 8 × 33
x = 8 × 33/12
x = 12
Answer:
Mr. Brust can bambam 22 jamjams in 33 whamwhams.
Luke is doing a Science Fair project. He observes that the cells double every 6 hours. If he starts with 50 cells, how many will he have
in 48 hours?
1800 cells
20
30,720 cells
ОООО
21
600 cells
12,800 cells
shhehshehehehhehehehhehehhhhhehehehehhehehehhehehehehh|heh help
What do the stage directions in this example most clearly show about the
character Darius?
DARIUS. [Hunched over, his gaze darting around the room, and
shouting into his phone] You better give me my money back or else.
[Indistinct sounds from the phone]
DARIUS. [Trembling and wiping sweat from his forehead That's right.
I'm your worst nightmare.
[Indistinct sounds from the phone]
A. Darius fakes being tough but is actually nervous.
B. Darius is somebody who demands what he wants.
C. Darius can't understand the person he's talking to.
D. Darius has plans but is too lazy to achieve them.
In addition to describing a character's appearance and movement on stage, stage directions also describe the sound and visual effects of the surroundings.
What is the meaning of stage direction?Stage directions may include phrases like "Katy enters the room" and "The man deals a deck of cards." They describe what the characters in the scene are doing.
Stage direction is also evident in statements about the setting, like "the early sunlight floods the space." The stage directions specify how a character will look, where they will move on the stage, and how the surroundings will sound and seem.
The links between things, characters, and locations in a book are made clear to the reader by stage directions, which also provide important details about the action. Stage directions are given by actors on the stage. "Stage right" is the area to the audience's left.
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Stage directions include things like "The man deals a deck of cards" and "Katy enters the room."
What is stage direction?Examples of stage instructions include "The man deals a deck of cards" or "Katy enters the room." In the scene, they describe how the characters move. Stage direction can also be demonstrated by describing the environment, such as "the early sunlight floods the space."
What a character looks like, where they go in the stage, and how the setting sounds and appears are all revealed in the stage instructions. The relationships between persons, things, and places in a text are described in great detail in stage directions.
To this day, the connotation remains unchanged. The three zones Upstage (in the back of the stage), Centerstage (in the middle), and Downstage are present in every theatre (front of the stage).
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Albert is a marine biologist studying the bluefin tuna population in Caro Bay. When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay. One year later, he estimated that the population of bluefin tuna had decreased to about 1,488. Albert expects the population of bluefin tuna to continue decreasing each year.
Write an exponential equation in the form y=a(b)x that can model the population of bluefin tuna in Caro Bay, y, x years after Albert began monitoring it.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
The exponential function that models the population of bluefin tuna after x years is given as follows:
y = 1550(0.96)^x.
The parameters of the exponential function are given as follows:
a = 1550.b = 0.96.How to define the exponential function?An exponential function is defined as follows:
y = a(b)^x.
For which the parameters are given as follows:
a is the initial value.b is the rate of change.When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay, meaning that the parameter a is given as follows:
a = 1550.
One year later, he estimated that the population of bluefin tuna had decreased to about 1,488, hence the parameter b is obtained as follows:
b = 1488/1550 = 0.96.
Hence the function is defined as follows:
y = 1550(0.96)^x.
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The diameter of a circle is 14 meters. What is the circle's circumference?
Answer:
43.96 m.
Step-by-step explanation:
The formula for circumference is: πd (diameter).
According to the word problem, the diameter is 12.
**3.14 IS A SUBSTITUTE FOR PI**
3.14 × 12 = 43.96
Therefore, 43.96 meters is the circumference of this circle.
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer: it is the 4 one which is 3(5-n)=2n+16
Solid A has a volume of 28 in³. The scale factor of A to B is 1:2. What is the volume of Solid B?
Volume of Solid B = ____________ in³
Answer: 56in³
Step-by-step explanation:
Let the volume of solid B de denoted as x. Based on the information given in the question, we can solve further by:
1/2 = 28/x
Cross multiply
1 × x = 2 × 28
x = 56
Therefore, the volume of solid is 56in³.
28 The function g(z) = 400z - z2 can be ued to determine the area, in quare feet, of a field, where z repreent the width of the field in feet. A farmer will plant pinach in thi field and expect to harvet 1 pound of pinach per quare foot. If the field i 50 feet wide, what i the total number of pound of pinach the farmer hould expect to harvet from the field?
The farmer should expect to harvest 17,500 pounds of spinach from the field.
What is a function?
A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.
In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.
Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:
g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet
We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:
1 pound/square foot * 17,500 square feet = 17,500 pounds
Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.
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The farmer should expect to harvest 17,500 pounds of spinach from the field.
What is a function?
A function is a mathematical relation between a set of inputs (called the domain) and a set of possible outputs (called the range). The inputs are usually denoted by variables and the outputs are usually denoted by the value of a function. A function assigns exactly one output to each input.
In the given problem, g(z) = 400z - z^2 is a function that describes the area of a field in square feet, where z represents the width of the field in feet.
Given that the width of the field is 50 feet, we can substitute this value into the function to find the area of the field:
g(50) = 400(50) - 50^2 = 20,000 - 2,500 = 17,500 square feet
We know that the farmer will plant spinach in this field and expect to harvest 1 pound of spinach per square foot. Therefore, the total number of pounds of spinach the farmer should expect to harvest from the field is:
1 pound/square foot * 17,500 square feet = 17,500 pounds
Hence, the farmer should expect to harvest 17,500 pounds of spinach from the field.
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The missing base of 81= ^2
Answer:
the correct answer is 9²
Answer:
9
Step-by-step explanation:
It is stating that 81 is equal to x², in which the variable x stands for a number.
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x, by rooting both sides:
√x² = √81
x = √81 = √(9 * 9) = 9
9 is your missing base.
~
I need help I don’t know it ?????
Answer:
H) {8, 9, 10, 11, 12}
Step-by-step explanation:
The domain of a problem is the set of all possible values that can be the input of a given function. In this case, the problem asks for the number of volleyball players are on a team. Since one cannot have a fraction of a person, then the domain must be a set of whole numbers. Moreover, the problem gives one the information that there has to be at least (8) players, and no more than (12). Thus, the only option that satisfies all of these requirements is option (H). Therefore the correction option is the following,
H) {8, 9, 10, 11, 12}