There are 1680 digits 2, 0, 2, and 2 as a 4-digit consecutively ordered block with no other digits between them
How to determine the selectionTo determine the number of whole numbers, the following must be true
Case 1: If the sequence starts from the first digit
The first digit can be any of the three 2's (i.e. 3 digits)The second digit can only be 0The third digit can be any of the remaining 2's (i.e. 2 digits)The fourth digit can only be the last 2 (i.e. 1 digit)The fifth digit can be any of 0 - 9 (i.e. 10 digits)The sixth digit can be any of 0 - 9 (i.e. 10 digits)So, we have:
[tex]Case\ 1 = 3 * 1 * 2 * 1 * 10 * 10[/tex]
[tex]Case\ 1 = 600[/tex]
Case 2: If the sequence starts from the second digit
The first digit can be any of 1 - 9 (i.e. 9 digits)The second digit can be any of the three 2's (i.e. 3 digits)The third digit can only be 0The fourth digit can be any of the remaining 2's (i.e. 2 digits)The fifth digit can only be the last 2 (i.e. 1 digit)The last digit can be any of 0 - 9 (i.e. 10 digits)So, we have:
[tex]Case\ 2 = 9 * 3 * 1 * 2 * 1 * 10[/tex]
[tex]Case\ 2 = 540[/tex]
Case 2: If the sequence starts from the third digit
The first digit can be any of 1 - 9 (i.e. 9 digits)The second digit can be any of 0 - 9 (i.e. 10 digits)The third digit can be any of the three 2's (i.e. 3 digits)The fourth digit can only be 0The fifth digit can be any of the remaining 2's (i.e. 2 digits)The last digit can only be the last 2 (i.e. 1 digit)So, we have:
[tex]Case\ 3 = 9 * 10 * 3 * 1 * 2 * 1[/tex]
[tex]Case\ 3 = 540[/tex]
The total number of whole numbers is:
[tex]Total = 600 + 540 + 540[/tex]
[tex]Total = 1680[/tex]
Hence, there are 1680 6-digit whole numbers that the digits
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3x(x+6)=-10
Please explain how to solve!
Answer:
just look at picture
Step-by-step explanation:
Hope this helps :)
Evaluate the expression for x = -4, y=-2, and z=-3.
x(y+z)^2?
Answer:
- 100
Step-by-step explanation:
x (y + z)²
= (-4) [(- 2) + (- 3)]²
= - 4 * (-5)²
= - 4 × 25
= - 100
Hope it helps ⚜
Step-by-step explanation:
we take the values given and we substitute in the equation above.
value of x=-4
y=-2
z=-3
hence we can solve for the equation above
-2(-2+-3)^2
we for everything in brackets first
(-2+-3)=-5
(-5)^2=25hence after solving we multiply by -2
-2(25)=-50
indeed that is my solution.
1,2,3,5 and 7 are all common factors of two numbers.
Write down the digit that the two numbers end in
Answer:
After our solar system began to form, dust and gas combined into small bodies that formed the planets. What are these small bodies called?
dwarf planets
gas giant planets
planetesimals
terrestrial planets
Step-by-step explanation:
plssss help me Po plsssssssss
Answer:
Step-by-step explanation:
8th grade math. I think
Answer:
113.04 ft^2
Step-by-step explanation:
A= πr^2 = π(6)^2 = π(36) = 113.04
Phillip hod 45 marbles. He gave 2/3 to his Brother. How many marbles did he give to his Brother?
Answer:
15
Step-by-step explanation:
3/3 = 45
2/3 = ?
3/3 - 2/3 = 1/3
1/3 * 45 = 15
Answer:
30
Step-by-step explanation:
45/3=15
15x2=30
Solve for x
-1/5x-2/5=4/3x+1
Answer:
x = -21/23 or 0.913 (rounded to the nearest thousandth)
Step-by-step explanation:
Step 1: Add 2/5 to both sides
1. -1/5x - 2/5 + 2/5 = 4/3x + 1 + 2/5
2. -1/5x = 7/5 + 4/3x
Step 2: Subtract 4/3x from both sides
1. -1/5x - 4/3x = 7/5 + 4/3x - 4/4x
2. -23/15x = 7/5
Step 3: Multiply both sides by 15
1. (15)-23/15x = 7/5(15)
2. -23x = 21
Step 4: Divide both sides by -23
1. -23x/-23 = 21/-23
2. x = -21/23 or 0.913 (rounded to the nearest thousandth)
what is the value of 5 at is used in this 102,587
Answer:
hundreds
Step-by-step explanation:
It is the third digit from right which is 100
Another example say 700 what is the value of the 7=hundreds because it it 3rd digit from right
Hope it helps :)
pahelp po guys thank u po
Answer:
Hello there, hope it's help !! :)
To divide a multiple of 10:
Find a division fact to start with
Look at the remaining zeros
Subtract the number of remaining zeros in the divisor from the number of remaining zeros in the dividend
-
Imagine this: The government has passed a new law: there will be no music allowed, of any kind, anywhere! Create a presentation addressing the President where you defend the value of music to humankind. Be sure to include:
The three roles of music
Financial benefits of concert attendance to the community
Academic and emotional benefits of music
Two scenarios that demonstrate what you imagine life will be like if the law stands and music is not allowed
Specifics:
Presentation must be at least ten slides long
Presentation must include four photos and one video
Please use at least four sources and list them on the last slide
It is fine to use internet sources, but be sure that they are trustworthy. Good internet sources are ones like: government websites (.gov), national and regional newspapers, academic journals, or books that are available in digital format
Answer: music is how we move on we can clean up why music is playing music is part of our hearts it can help keep calm to our hearts other people hearts to other people listen to other music, people and dogs, cats and other animals listen to music to they dance, most importantly they can help you sing and learn dance moves and other stuff people like dancing and sing to the music and they love other music that can keep them calm, even have music in gyms, stores, malls, and other places music is a part of our lives and no one can stop us from playing except for the government. The government can see if we playing music so watch out but music is a part of our lives so please dont take the music down
branliest please iv been typing this for half an hour
The presentation defends the value of music by highlighting its roles, financial benefits, academic and emotional advantages, and potential consequences of a music ban.
The presentation bullet pointsPresentation: Defending the Value of Music
Introduction:
- Address to the President regarding the importance of reconsidering the ban on music.
Role of Music:
1. Artistic Expression:
- Music as a powerful means of artistic expression, reflecting diverse emotions and cultures.
- Enables individuals to convey feelings and thoughts that words alone cannot express.
2. Universal Language:
- Music transcends language barriers, connecting people from different backgrounds.
- Promotes understanding, unity, and global harmony.
3. Emotional Solace:
- Music's therapeutic effect on mental well-being, reducing stress and anxiety.
- Offers a way to cope with life's challenges and connect with our emotions.
Financial Benefits of Concerts:
- Concert attendance stimulates local economies:
- Boosts revenue for local businesses, such as restaurants, hotels, and shops.
- Increases tourism, leading to job creation and economic growth.
Academic and Emotional Benefits:
- Academic Advantages:
- Studies show music enhances cognitive skills, improving memory, problem-solving, and creativity.
- Supports learning in subjects beyond music.
- Emotional Benefits:
- Music as a source of comfort during difficult times.
- Fosters emotional intelligence, empathy, and self-expression.
Scenarios Without Music:
1. Social Gatherings:
- Without music, celebrations lack vibrancy and energy.
- Diminished cultural and social interactions at gatherings.
2. Education System:
- Music contributes to a well-rounded education, fostering creativity and discipline.
- Absence of music results in a less dynamic and engaging learning environment.
Conclusion:
- Urgent call to reconsider the ban on music:
- Acknowledge music's integral role in human life.
- Preserve its positive impact on society, economy, education, and emotional well-being.
Closing Remarks:
- Thank the President for considering the importance of music to humankind's holistic development.
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Please helppppppppppppp
Answer: 113 ez
Step-by-step explanation: back in my day i used to calculate sum shots
Rectangular park is 85m wide and 125 long. Given the length and width of another rectangular park that has the same perimeter but a larger area.
Shapes A and B are similar.
a) Calculate the scale factor from shape A to shape B.
b) Find the value of w.
Give each answer as an integer or as a fraction in its simplest form.
The scale factor from shape A to shape B is 0.75 with w = 5.25 cm.
What is scale factor?The size by which the shape is enlarged or reduced is called as its scale factor.
Scale factor from shape A to shape B = [tex]\frac{3}{4}[/tex] = 0.75
It can be calculated by dividing the length of one side of the polygon to the corresponding side of the similar polygon. Keep the length of the side of the original figure in denominator and length of the side of the transformed figure in the numerator.
Calculating w.
[tex]\frac{w}{7} = 0.75\\\\w = 7 * 0.75 = 5.25[/tex]
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Helppp pleaseeee 10 points
Answer:
x ≥ 3
Step-by-step explanation:
Solve for x by dividing both sides by -7. When dividing by a negative, you have to flip the inequality.
-7x ≤ -21
-7x/-7 ≤ -21/-7
x ≥ 3
Since it is greater than or equal to, put a closed circle over 3 with the arrow going right -------->
Random Question
Mr Sire purchases a bicycle for $163.62. How much cash will he need to pay?
Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of an mixed number. 8P + 2 > 3P - 15
Answer:
8p+2 3p-15-2
5->-17
p>-17/15
Step-by-step explanation:
АВС аnd
APQR are similar. Find the missing side length.
Find the perimeter of the figure.
O528.75 ft
O264.375 ft
O 41.25 ft
O 82.5 ft
Answer:
the answer for your question is 82.5 ft
Step-by-step explanation:
Using translation concepts, we have that the graph of f(x):Was shifted 9 units to the right and 3 units down ... O528.75 ft O264.375 ft O 41.25 ft O 82.5 ft.
Your boss hands you a memo with a summary of the monthly data. The number of imports is shown as fx), and the number of exports is shown as gx). Use the data in the table below, representing both functions, to explain to your boss the solution to the system of equations and what that solution represents. Use complete sentences.
Answer:
The solution to the system of equations would be if the number of imports and exports are the same. In this case, the solution is January because the number of imports and exports are both 3.
Step-by-step explanation:
I’m smart
Which of the following is equivalent to 4 square root of 12 minus square root of 27 plus 5 square root of 3?
Answer:
The answer is 10 square root of 3
Step-by-step explanation:
Hope this helps!
What is the answer to 5x6+8+9-5 Pls help i dont remember pemdas mean
Answer:
The answer is 42
Step-by-step explanation:
PEMDAS=
parenthesis, exponents, multiplication, division, addition, subtraction.
Answer:
The answer is 42
PEMDAS: parentheses, exponents, multiplication, division, addition, subtraction
The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.
(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm
Answer:
(B) 18 cm x 8 cm
Step-by-step explanation:
let the length be x,
then the width is [tex]\frac{1}{3}[/tex]x + 2
2( [tex]\frac{1}{3}[/tex]x + 2 + x ) = 52
[tex]\frac{1}{3}[/tex]x + 2 + x = 26
[tex]\frac{4}{3} x[/tex] = 24
x = (24*3)/4
x = 18
then the length is 18 cm
and width is (1/3)*18 + 2 = 8
Therefore the dimensions are length:width = 18 cm : 8 cm
Answer:
(B) 18cm x 8cm
Step-by-step explanation:
Perimeter of a rectangle = 52 cm
2(length + width) = 52 ==> l + w = 26
Let x be the length
width = (x/3) + 2
x + (x/3) + 2 = 26
[(3x + x)/3] + 2 = 26
4x / 3 = 24
4x = 24 (3)
x = 6(3) ==> 18 cm
Width = (18/3) + 2
= 6 + 2 = 8 cm
So, the required dimension is 18 cm x 8 cm.
h(x)=x³+2x+5 what's the domain and the range?
NO LINKS!!! Select the correct answer. Consider functions f and g.
Answer:
-2.25
Step-by-step explanation:
x = -2.25
Answer:
C. x ≈ -2.25
Step-by-step explanation:
A spreadsheet or graphing calculator can help you make a table of values. The function values are closest together at ...
x ≈ -2.25
______
Additional comment
To 11 significant digits, the solution is x ≈ −2.2116632512.
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
Answer:
k = 1/2
Step-by-step explanation:
input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84
x² + (kx + 6)² - 10x + 8(kx + 6) = 84
expand:
x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84
simplify by collecting like terms:
x² + k²x² + 20kx - 10x + 84 = 84
subtract 84 on both sides to bring it to the left:
x² + k²x² + 20kx - 10x + 84 - 84 = 0
x² + k²x² + 20kx - 10x = 0
factorise out x:
x²(1 + k²) + x(20k - 10) = 0
using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:
b² - 4ac
(20k - 10)² - 4(1 + k²)(0) = 0
the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0
(20k - 10)² is the same as
(20k - 10)(20k - 10)
equate both to 0
20k - 10 = 0 and 20k - 10 = 0
add 10 on both sides
20k = 10 and 20k = 10
divide 20 on both sides
k = 10/20 and k = 10/20 which are both the same
10/20 is simplified to 1/2
k = 1/2
A stack of books is 24 inches high.
Each book in the stack is 3/4 inch thick
How many books are in the stack?
Answer:
32
Step-by-step explanation:
Let's say n such books make up the stack.
If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.
==> number of books × 3/4 = 24
(to get this result add the heights of n such book, and equate it to 24. You'll get something like:
3/4 + 3/4 +. . . . n times = 24
And that's what's meant by 3/4 × n = 24)
==> n × 3/4 = 24
multiply both sides by 4
==> n × 3 = 24 × 4
divide both sides by 3
==> n = (24 × 4)/3
==> n = 8 × 4
==> n = 32
We assumed the number of books to be n.
so the answer is:
32 books, each if height 3/4 inch, are required to build a stack 24 inches high.
the number of kilo gram of water in human body varies directly as the mass of the body. A 96kg person contains 64kg of water. how many kilo gram of water are in a 60kg person? (show your solution)
POS systems are most effective when combined with
In the senior year of a high school graduating class of 100 students, 42 studied mathematics, 68 studied psychology, 54 studied history, 22 studied both mathematics and history, 25 studied both mathematics and psychology, 7 studied history but neither mathematics nor psychology, 10 studied all three subjects,and 8 did not take any of the three. Randomly select a student from the class and find the probabilities of the following events. (a) A person enrolled in psychology takes all three subjects. (b) A person not taking psychology is taking both history and mathematics
The probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.
ProbabilitiesTo find the probability of A) a person enrolled in psychology that takes all three subjects, and B) a person not taking psychology that is taking both history and mathematics; the following calculations must be made:
A) 10/100 x 100 = X0.1 x 100 = x10 = XB) 22/100 x 100 = X0.22 x 100 = X22 = XTherefore, the probability of finding a person enrolled in psychology that takes all three subjects is 10%, and the probability of finding a person not taking psychology that is taking both history and mathematics is 22%.
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Help or the imposter will find you.
Answer:
1/4x... = 3; 3.2b = 7; 4.6y = -2; 7.5c = -3
Isolate the variable.