Answer:
28,224
Step-by-step explanation:
use photomath it will help u with math problems.
Answer:28224
Step-by-step explanation:
Which equation represents the line shown
on the graph?
x = y + 2
y = x + 2
y = 2x
x = 2y
Answer: Third option:
Step-by-step explanation:
The equation in Slope Intercept form of a line that does not pass through the point (0,0), which is known as "Origin, is the following:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
The equation in Slope Intercept form of a line that passes through the Origin, is:
[tex]y=mx[/tex]
Where "m" is the slope of the line.
In this case you can observe in the picture attached that the line passes through the point (0,0).
You can also notice that "y" would be the Dependent variable and "x" the Independent variable.
Therefore, the equation of this must have this form:
[tex]y=mx[/tex]
The only equation that matches with that form, is the one given in the Third option. This is:
[tex]y=2x[/tex]
The linear equation shown in the graph can be written as.
y = 2x
Which equation represents the line shown on the graph?A general linear equation is written as:
y = ax + b
Where a is the slope and b is the y-intercept.
In this graph, we can see that the line intercepts the y-axis at y = 0, so we have:
y = ax
We also can see that the line passes through the point (1, 2), replacing these values in the equation we will get:
2 = a*1
2 = a
Then the linear equation is:
y = 2x
The third option.
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The vertex of a parabola is at (8,-1)and its y-interpret is-17. Which function represents the parabola
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (8, - 1), thus
y = a(x - 8)² - 1
To find a substitute (0, - 17), the coordinates of the y- intercept into the equation.
- 17 = a(0 - 8)² - 1
- 17 = 64a - 1 ( add 1 to both sides )
- 16 = 64a ( divide both sides by 64 )
a = [tex]\frac{-16}{64}[/tex] = - [tex]\frac{1}{4}[/tex]
y = - [tex]\frac{1}{4}[/tex](x - 8)² - 1 → D
Help me thank you, and explain!
Answer:
The total area of the shape = 4 + 4 + 2 = 10 square units
Step-by-step explanation:
This shape consists of three shape parts.
A right triangle with base 4 units and perpendicular 2 units at the right side.A square with the equal length and width i.e. 2 units. at the middleA right triangle with base 2 units and perpendicular 2 units at the left sideSo, the total area of this shape is the sum of the areas of these shape parts.
1st Part) Finding the area of Right Triangle with base 4 units and perpendicular 2 units
A right triangle with base 4 units and perpendicular 2 units.
Let
'a' be perpendicular side = 2 units
'b' be the base side = 4 units
As
The area of right triangle
[tex]A=\frac{ab}{2}[/tex] ⇒ [tex]\frac{(4)(2)}{(2)}[/tex] = 4 square units
2nd Part) Finding the area of Square with the equal length and width i.e. 2 units
Let a be the length of any side = 2 units
As the area of square
[tex]A=a^{2} }[/tex]
[tex]A = (2)^{2}=4[/tex] square units
3rd Part) Finding the area of Right Triangle with base 2 units and perpendicular 2 units
A right triangle with base 2 units and perpendicular 2 units.
Let
'a' be perpendicular side = 2 units
'b' be the base side = 2 units
As
The area of right triangle
[tex]A=\frac{ab}{2}[/tex] ⇒ [tex]\frac{(2)(2)}{(2)}[/tex]= 2 square units
Therefore the total area of the shape will be the sum of area of Right Triangle with base 4 units and perpendicular 2 units, area of Square with the equal length and width i.e. 2 and area of Right Triangle with base 2 units and perpendicular 2 units
So,
The total area of the shape = 4 + 4 + 2 = 10 square units
Keywords: area of a shape, area of triangle, area of square
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100 points
the prime factors of a number are 2 2 2 and 5. what is the number
Answer:
The number is 40
Step-by-step explanation:
Step 1: To find the number, multiply all of the numbers together
2 * 2 * 2 * 5
40
Answer: The number is 40
Answer:
40
Step-by-step explanation:
2×2×2×5 = 40
All of the 4th grade teachers and students from Cambridge went on a field trip to an art museum. Tickets were $5.50 per teacher and $3.00 for each student. This group paid $29.00 in total. The next month, the same group visited a science museum where the tickets were $22.00 for teachers and $11.50 for students. The group paid $113.00 in total. Find the number of teachers and students on the field trips.
Answer:
Students= 6
Teachers= 2
Step-by-step explanation:
Given: Art museum trip:
Cost of ticket= $5.5 per teacher and $3 per student.
Total amount paid= $29.
Science trip:
Cost of ticket= $22 per teacher and $11.5 per student.
Total amount paid= $113.
Lets assume number of teacher be "x" and number of students be "y".
Now, forming an equation for cost of each trip.
we know, total cost= [tex]cost\ of \ each\ ticket \times numbers\ of\ tickets[/tex]
∴Art museum trip, [tex]5.5x+3y= 29[/tex] ---- 1st equation
Science museum trip, [tex]22x+11.5y= 113[/tex] ---- 2nd equation
Next using elimination method to find number teacher and students
[tex]5.5x+3y= 29\\22x+11.5y= 113[/tex]
Multiplying both side of 1st equation by 4
∴ [tex]22x+12y= 116\\22x+11.5y= 113[/tex]
changing sign of 2nd equation on both side and solving it.
∴ [tex]0.5y= 3[/tex]
Dividing both side by 0.5
[tex]y= \frac{3}{0.5}= 6[/tex]
Hence, number of students on field trip was 6.
Subtituting the value of y in 1st equation to find the number of teachers in field trip.
[tex]5.5x+3y= 29[/tex]
⇒ [tex]5.5x+3\times 6= 29[/tex]
⇒ [tex]5.5x+18= 29[/tex]
Subtracting both side by 18
⇒ [tex]5.5x= 11[/tex]
Dividing both side by 5.5
⇒ [tex]x= \frac{11}{5.5}= 2[/tex]
Hence, there were 2 teachers on field trips.
Please help ASAP! Thanks! For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perimeter. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
Part 1) [tex]A=36(\pi-2)\ cm^2[/tex]
Part 2) [tex]P=6(\pi+2\sqrt{2})\ cm[/tex]
Step-by-step explanation:
Part 1) Find the area
we know that
The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle
so
[tex]A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)[/tex]
we have that the base and the height of triangle is equal to the radius of the circle
[tex]r=12\ cm\\b=12\ cm\\h=12\ cm[/tex]
substitute
[tex]A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)[/tex]
[tex]A=(36\pi-72)\ cm^2[/tex]
simplify
Factor 36
[tex]A=36(\pi-2)\ cm^2[/tex]
Part 2) Find the perimeter
The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle
The circumference of a quarter of circle is equal to
[tex]C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r[/tex]
substitute the given values
[tex]C=\frac{1}{2}\pi (12)[/tex]
[tex]C=6\pi\ cm[/tex]
The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)
[tex]AC=\sqrt{12^2+12^2}[/tex]
[tex]AC=\sqrt{288}\ cm[/tex]
simplify
[tex]AC=12\sqrt{2}\ cm[/tex]
Find the perimeter
[tex]P=(6\pi+12\sqrt{2})\ cm[/tex]
simplify
Factor 6
[tex]P=6(\pi+2\sqrt{2})\ cm[/tex]
Answer:
36(π-2)cm^2 is area
Perimeter is 6(π+2√2)
Step-by-step explanation:
The width of a rectangle is 4 1/6 feet, and its area is 35 square feet. What is the perimeter of this rectangle?
Answer:
25 2/15
Step-by-step explanation:
A = length x width
width is 4 1/6
35 = 4 1/6 x length
solve for length
divide both sides by 4 1/6
35 divided by 4 1/6 or multiply 35 x 6/25 (reciprocal)
210/25
8 10/25 = 8 2/5 is the length
to find perimeter 2xlength + 2xwidth
2 x 4 1/6 + 2 x 8 2/5 = 2 x 25/6 + 2 x 42/5 = 50/6 + 84/5
convert to common denominator and add
use 30 as common denominator
250/30 + 504/30= 754/30
25 4/30 or 25 2/15
Final answer:
To find the perimeter of the rectangle, calculate the length using the given area and width. Then, apply the perimeter formula P = 2l + 2w. The perimeter is approximately 25.1 feet.
Explanation:
Calculating the Perimeter of a Rectangle
To find the perimeter of a rectangle, you need to know both the width and the length of the rectangle. The perimeter is the total distance around the rectangle, which is the sum of twice the width and twice the length: P = 2l + 2w.
The width of the rectangle is given as 4 1/6 feet. To find the length, we can use the provided area of the rectangle which is 35 square feet. The area of a rectangle is found by multiplying the length by the width: A = l × w. Let's call the length 'l'.
First, convert the width to an improper fraction: 4 1/6 = (4 × 6 + 1)/6 = 25/6 feet. Now set up the equation using the area: 35 = (25/6) × l. Solving for 'l' gives us l = (35 × 6)/25 = 210/25 = 8.4 feet.
Now that we have the length, calculate the perimeter using the equation P = 2l + 2w:
P = 2 × 8.4 + 2 × 4 1/6
P = 16.8 + 2 × 25/6
P = 16.8 + 50/6
P = 16.8 + 8.333...
P = 25.133... feet
Therefore, the perimeter of the rectangle is approximately 25.1 feet when rounded to one decimal place.
The line passing through (11,y) and (2,0)is parallel to the line joining (7,5) and (-2,2). Find y.
Answer: y = 3
Step-by-step explanation:
Two lines are said to be parallel if they have the same slope. All we need to do is to find the slope of each line . The formula for finding slope is given as :
m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
For the first line
[tex]x_{1}[/tex] = 11
[tex]x_{2}[/tex] = 2
[tex]y_{1}[/tex] = y
[tex]y_{2}[/tex] = 0
substituting into the formula , we have
m = [tex]\frac{0 - y}{2 - 11}[/tex]
m = [tex]\frac{-y}{-9}[/tex]
m = [tex]\frac{y}{9}[/tex]
Also Finding the slope of the second line we have
[tex]m_{2}[/tex] = [tex]\frac{2-5}{-2 - 7}[/tex]
[tex]m_{2}[/tex] = [tex]\frac{-3}{-9}[/tex]
[tex]m_{2}[/tex] = [tex]\frac{1}{3}[/tex]
Since the two lines are parallel , we will equate their slope , that is
[tex]\frac{y}{9}[/tex] = [tex]\frac{1}{3}[/tex]
3y = 9
y = 3
Which day had the greatest decrease in value from the previous day?
A.monday
B.tuesday
C.wensday
D.friday
Answer:
B. Tuesday
Step-by-step explanation:
It is the only decrease in price going by the graph
Answer:
Tuesday
Step-by-step explanation:
It went down by the most that day, i.e. from $3.25 to $3.00.
Other days, it did not decrease by as much.
in general, f−1(f(x)) = f(f−1(x)) =
Answer:
f−1(f(x)) = f(f−1(x)) = x
Step-by-step explanation:
Follow this simple example using the function f(x) = x + 2
f(x) = x + 2
NOw we find the inverse function f^(1)(x).
y = x + 2
x = y + 2
y = x - 2
f^(-1)(x) = x - 2
The inverse function is f^(-1)(x) = x - 2
Now we do the two compositions of functions:
f^(-1)(f(x)) = x + 2 - 2 = x
f(f^(-1)(x)) = x - 2 + 2 = x
Both are equal to x.
Answer: f−1(f(x)) = f(f−1(x)) = x
The expression [tex]f^{-1}(f(x)) = f(f^{-1}(x)) = x[/tex]
We are to prove the relationship;
[tex]f^{-1}(f(x)) = f(f^{-1}(x)) = ?[/tex]
To get the unknown, let f(x) = x - 2
Find its inverse:
Let y = x - 2
Replace y with x;
x = y - 2
y = x+2
Hence [tex]f^{-1}x = x+2[/tex]
Next is to get [tex]f(f^{-1}(x))[/tex]
[tex]f(f^{-1}(x))=f(x+2) = (x+2) - 2\\f(f^{-1}(x))= x\\[/tex]
We can conclude that [tex]f^{-1}(f(x)) = f(f^{-1}(x)) = x[/tex]
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Round 5 9/17 to the nearest whole number
Answer:
6
Step-by-step explanation:
What is the equation of the line that is parallel to the line y - 1 = 4(x + 3) and passes through the point (4, 32)?
A: y=-1/4x +33
B: y=-1/4x + 36
C: y = 4x - 16
D: y = 4x + 16
Answer:
Option D: y = 4x + 16
Step-by-step explanation:
Given the line: y - 1 = 4(x + 3) ⇒ y = 4x + 13
The slope of the given line = m = 4
The required line is parallel to the given line
So, the slope of the required line = m = 4
So, the general equation of the required line: y = 4x + c
Where c is constant represents y-intercept
To find the value of c, substitute with the point (4,32)
At x = 4 y = 32
∴ 32 = 4 * 4 + c
∴ c = 32 - 16 = 16
∴ y = 4x + 16
The answer is option D: y = 4x + 16
its was taylor's 8th birthday and there were 47 presents. Each kid brought 10 presents, except for three kids who brought five presents each and two kids who bought one present each. How many kids came to Taylor's party
Total of 8 kids came to Taylor's party.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is Taylor's 8th birthday and there were 47 presents. Each kid brought 10 presents, except for three kids who brought five presents each and two kids who bought one present each.
Assume that [n] students bought 10 presents. Then, we can write -
3 x 5 + 2 x 1 + 10n = 47
15 + 2 + 10n = 47
10n = 30
n = 3
Total kids = 3 + 3 + 2 = 8
Therefore, total of 8 kids came to Taylor's party.
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Perform the indicated operation.(7 - 11/) + (-3 + 5/)
Answer:
The correct answer is C. 4 -6
Step-by-step explanation:
Let's solve the operation given, this way:
(7 - 11/) + (-3 + 5/)
7 - 11 - 3 + 5=
12 - 14 = - 2
After resolving the parenthesis, adding and subtracting the result of thhe operation is - 2
The correct answer is C. 4 -6
What’s -3 + 6k + 11k - 10 (combining like terms)
Answer:
17k + -13
Step-by-step explanation:
6k + 11k take the + next to the 6k making it say 6k+11
-3 - 10 take the - next to the 10 making it say -3 - 10
Select True or False.
The expression 5x − 3(2x − 4) is equivalent to the expression 12 − x.
True
False
Answer:true
Step-by-step explanation:
5x-3(2x-4)=
1) solve the parentheses
5x-6x-12=0
2) we just can rest the X
5x-6x=X
3) X-12=0
4) The order of factors does not alter the product
12-X=0
Answer:
True
Step-by-step explanation:
5x − 3(2x − 4)
Expand
5x - 6x + 12
-x + 12
12 - x
( ) are called "parentheses" or "brackets "
Whatever is inside the ( ) needs to be treated as a "package".
So when multiplying: multiply by everything inside the "package".
Multiplying negatives has special rules: a negative times a positive gives a negative, but multiplying two negatives gives a positive:
In that case −3 · -5 = +15 (a positive answer)
Draw a model for a fraction1/6
Answer:
Step-by-step explanation:
picture to help
Answer: I can't draw it but i answered
Step-by-step explanation:
To draw a model for 1/6 you would have draw six shapes of any kind. Then you would only fill one of them.
What is the equation of the line that has a slope of -4 and goes through (-1,6)
Answer:
y = - 4x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute (- 1, 6) into the partial equation
6 = 4 + c ⇒ c = 6 - 4 = 2
y = - 4x + 2 ← equation of line
1. Justin divided 403 by a number and got a quotient of 26 with a remainder of 13. What was the
number Justin divided by?
a. 13
b. 14
c. 15
d. 16
Answer:
15
Step-by-step explanation:
First subtract the remainder from 403 to get 390. then divide 390 by 26 to get 15.
The number used by Justin used to divide 403 to get a quotient of 26 with a remainder of 13 is 15.
What number was used to divide 403?
Division is theartimetic process used to divide a number into equal parts using another number. The sign used to denote division is ÷.
In order to detemine the number used to divide 403, take the following steps:
Subtract 13 from 403 = 403 - 13 = 390
Now divide 390 by 26: 390 / 26 = 15
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Julian bought 8 books this year. He gets a free book every time he buys 1. How many books altogether did he get this year
Answer:16 books
Step-by-step explanation:
Final answer:
Julian bought 8 books and received a free book with each purchase, resulting in 16 books altogether by the end of the year.
Explanation:
The question is asking how many books Julian would have altogether if he bought 8 books and received a free book with each purchase this year. To solve this, we need to consider that for every book purchased, he gets an additional book without cost. Therefore, Julian gets 2 books each time he makes a purchase for one book. As he bought 8 books, we simply need to double that amount to account for the free books he received.
To calculate: 8 books purchased × 2 = 16 books altogether.
Julian would have a total of 16 books by the end of the year after his purchases and receiving the complementary books.
Can someone please help me :) !!!!
In the diagram, PCG and CGR are supplementary, the measure of AGK =10x° and the measure of PCG=(6x100)°
Based on this information , which equation can be used to the find the value of x?
A. 6x +100 + 10x =180
B. 6x+ 100 -10x =90
C. 6x+100+10x=90
D. 10x=6x+100
Answer:
A
Step-by-step explanation:
supplementary angles add up to 180
angle cgr and kga are vertical angles so they are equal
that makes the two angles in question add up to 180
did i do this right?
find the equation of the axis of symmetry for the parabola
y=x^2-8x+5
used y=ax^2+bx+c and got a=1 b=-8 and c=5
then used the formula x=-b/2a and plugged that in and got x=- -8/2(1) and simplified to get x=4 as the axis of symmetry.
rectangle ABCD is graphed in the cordinate plane. The following are the verticies of the rectangle; A(-6,-4),B(-4,-4),C(-4,-2), and D (-6,-2). what is the perimiter
Answer:
Therefore Perimeter of Rectangle ABCD is 4 units
Step-by-step explanation:
Given:
ABCD is a Rectangle.
A(-6,-4),
B(-4,-4),
C(-4,-2), and
D (-6,-2).
To Find :
Perimeter of Rectangle = ?
Solution:
Perimeter of Rectangle is given as
[tex]\textrm{Perimeter of Rectangle}=2(Length+Width)[/tex]
Length = AB
Width = BC
Now By Distance Formula we have'
[tex]l(AB) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}[/tex]
Substituting the values we get
[tex]l(AB) = \sqrt{((-4-(-6))^{2}+(-4-(-4))^{2} )}[/tex]
[tex]l(AB) = \sqrt{((2)^{2}+(0)^{2} )}=2\ unit[/tex]
Similarly
[tex]l(BC) = \sqrt{((-4-(-4))^{2}+(-2-(-4))^{2} )}[/tex]
[tex]l(BC) = \sqrt{((0)^{2}+(2)^{2} )}=2\ unit[/tex]
Therefore now
Length = AB = 2 unit
Width = BC = 2 unit
Substituting the values in Perimeter we get
[tex]\textrm{Perimeter of Rectangle}=2(2+2)=2(4)=8\ unit[/tex]
Therefore Perimeter of Rectangle ABCD is 4 units
Answer:
Therefore Perimeter of Rectangle ABCD is 4 units
Step-by-step explanation:
Given:
ABCD is a Rectangle.
A(-6,-4),
B(-4,-4),
C(-4,-2), and
D (-6,-2).
To Find :
Perimeter of Rectangle = ?
Solution:
WILL MARK BRAINLIEST 25 POINTS
The graph shows f(x) and its transformation g(x) .
Enter the equation for g(x) in the box.
Answer:
g (x) = 2 ^ (x + 2)
Step-by-step explanation:
For this case the transformation of f (x) is given by
g (x) = 2 ^ (x + 2)
To prove it, we must verify that equality is met by replacing the ordered pairs shown in the function g (x)
For (-2,1)
g (-2) = 2 ^ ( -2 + 2)
g(-2)=1
For (-1,2)
g (-1) = 2 ^ ( -1+ 2)
g(-1)=2
For (0,4)
g (0) = 2 ^ ( 0+ 2)
g(0)=4
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A piece of paper is 0.01 centimeters thick When you fold it once it becomes 0.02 cm thick. If you fold it again it doubles again to 0.04 cm thick each fold doubles thickness of the paper. how thick is the paper?
Answer: Should Be 0.01
Step-by-step explanation: It’s Asking How Thick it is and never asked when So it would automatically mean from the start therefore it’s 0.01 cm thick
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is twice the measure of the first angle. The third angle is 12 more than the second.
Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
x = first angle
y = second angle
z = third angle
x + y + z = 180
The sum of the measures of the second and third angles is twice the measure of the first angle. ----> y + z = 2x
The third angle is 12 more than the second. ----> z = y + 12
Use substitution to find each variable. Since z is already isolated/by itself, plug it into the other equation
y + z = 2x Plug in (y + 12) for z
y + (y + 12) = 2x Simplify
2y + 12 = 2x Divide 2 on both sides
y + 6 = x Isolate "y"
y = x - 6 Next you could plug this into z = y + 12, so that z has the x variable
z = y + 12
z = x - 6 + 12
z = x + 6
Now that you have y and z, you can do this:
x + y + z = 180
x + (x - 6) + (x + 6) = 180 Simplify
3x = 180 Divide 3 on both sides
x = 60 Now that you found x, plug it into the other equations to find y and z
y = x - 6
y = 60 - 6
y = 54
z = x + 6
z = 60 + 6
z = 66
x = 60°
y = 54°
z = 66° [sorry if this is confusing]
PROOF
x + y + z = 180
60 + 54 + 66 = 180
180 = 180
The problem can be solved by setting up and solving a system of equations based on the information given in the problem. Using these equations, we are able to establish a relationship between the angles and thus calculate their individual measures.
Explanation:To solve this problem, we need to set up and solve a system of equations based on the information provided. We know from the problem that:
The sum of the angles of a triangle is 180 degrees, so x + y + z = 180.The sum of the measures of the second and third angles is twice the measure of the first, so y + z = 2x.The third angle is 12 more than the second, so z = y + 12.First, let's substitute z = y + 12 into the other two equations:
In x + y + z = 180, replace z with y + 12 to get x + y + y + 12 = 180; or, simplifying further, x + 2y = 168.In y + z = 2x, replace z with y + 12 to get y + y + 12 = 2x or, simplifying further, 2x = 2y + 12 or x = y + 6.We now substitute x = y + 6 into the equation x + 2y = 168 to find the values of x and y and hence z.
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What is the inverse of f(x)=-x-1
Answer:
f^-1 (x)=-x-1
Step-by-step explanation:
y=-x-1
x=-y-1
-y=x+1
y=-x-1
why do banks pay interest on saving accounts
Answer: irs
Step-by-step explanation:
Banks give interest on savings accounts to encourage consumers to deposit and retain their money in the bank
The reason why banks pay interest
Banks give interest on savings accounts to encourage consumers to deposit and retain their money in the bank.
Banks can attract and maintain consumer cash by providing interest, which they can then use to lend to other people or invest in various financial operations.
Paying interest on savings accounts assists banks in maintaining liquidity, generating money, and developing a mutually beneficial relationship.
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DEFINE ALL OF THESE, ONE SENTENCE EACH, PLEASE
The Kissing Number Problem. ...
The Unknotting Problem. ...
The Large Cardinal Project.
Answers:
These are the three major and pure mathematical problems that are unsolved when it comes to large numbers.
The Kissing Number Problem: It is a sphere packing problem that includes spheres. Group spheres are packed in space or region has kissing numbers. The kissing numbers are the number of spheres touched by a sphere.
The Unknotting Problem: It the algorithmic recognition of the unknot that can be achieved from a knot. It defined the algorithm that can be used between the unknot and knot representation of a closely looped rope.
The Large Cardinal Project: it says that infinite sets come in different sizes and they are represented with Hebrew letter aleph. Also, these sets are named based on their sizes. Naming starts from small-0 and further, prefixed aleph before them. eg: aleph-zero.
Brian has reduced his cholesterol level by 20% after his last check up. If his original level was 240, what is his cholesterol level now?
Answer:
192
Step-by-step explanation:
20% of 240 is 48
240-48 = 192
Answer:
192
Step-by-step explanation:
20%/100% x 240 =48
His cholesterol level now will be 240 - 48 = 192