Answer:
x > 3
Step-by-step explanation:
Imaginá que tenés 125 dados cúbicos del mismo tamaño ¿Cuantos dados de altura tiene el cubo de mayor tamaño que podés armar apilando de manera conveniente todos ellos? Mostrá cómo lo pensaste Si quisieras formar un "cuadrado" con la mayor cantidad de cubos posibles, ¿cuántos deberías poner sobre cada lado? ¿Te quedarían cubos sueltos? ¿Cuántos? Mostrá cómo razonás
Answer:
(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.
(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.
Step-by-step explanation:
(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.
El volumen de un cubo está dado por la siguiente fórmula:
[tex]V = L^{3}[/tex]
Donde:
[tex]L[/tex] - Longitud de la arista, medida en dados.
[tex]V[/tex] - Volumen del cubo, medido en dados cúbicos.
Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:
[tex]L = \sqrt[3]{V}[/tex]
Dado que [tex]V = 125\,dados^{3}[/tex], encontramos que la altura del cubo de mayor tamaño sería:
[tex]L =\sqrt[3]{125\,dados^{3}}[/tex]
[tex]L = 5\,dados[/tex]
Debemos apilar 5 dados para construir el cubo de mayor tamaño.
(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:
[tex]A = L^{2}[/tex]
Donde:
[tex]L[/tex] - Longitud de arista, medida en dados.
[tex]A[/tex] - Área, medida en dados cuadrados.
Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de [tex]L[/tex] tal que no supere 125 y de un área entera. Es decir:
[tex]L \leq 125\,dados[/tex]
Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:
[tex]L^{2}< 125\,dados^{2}[/tex]
Esto nos lleva a decir que:
[tex]L < 11.180\,dados[/tex]
Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:
[tex]n = (11\,dados)^{2}[/tex]
[tex]n = 121\,dados[/tex]
Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.
solve 3(3+3) + 3(3+3)
Answer:
3×6 + 3×6 =36
Step-by-step explanation:
3 multiply 3+3 = 3*6 =18×2 =36
Answer:
Step-by-step explanation:
=3(3+3)+3(3+3)
=3x6+3x6
=18+18
=36
I hope this helps
Pls mark as Brainliest
A scale model of a building has a height of 1/5 meter. The scale of the model is 1 cm = 0.5m. What is the height of the building?
Answer:
2000 meters
Step-by-step explanation:
first you have to convert the meters into centimeters so then 1cm=100 cm
1/5 meter=20 cm
20*100=2000
2000 centimeters or 20 meters
hope this helps
brainliest?
What is the inverse operation of a power or exponent?
Answer:
The inverse of a power function of exponent n is a nth root radical function. For example, the inverse of y = 10x^2 is y = √(x/10) (at least for positive values of x and y).
What are the factors of 42
Answer:
Step-by-step explanation:
42
/ \
6 7
/ \ \
2 3 7
Enlarge the triangle by a scale factor of 1.5
Could someone please just figure out the coordinates of where the enlarged triangle should be? Thanks!
Answer:the bottom left corner of the triangle should be on the red dot right?
Step-by-step explanation:
sorry if this isn't helpful just trying to help
please help me find out the answer in this picture :)
Answer:
The answer is "d" x= r-p / g
Step-by-step explanation:
First let's get rid of the "p" term on the left-side. After you've done that, you have to get rid of the g term. So you divide the x term by the g-term, you do this to both sides.
Sara can drive 240 miles in 6 hours. How many miles can she drive in 1 hour?
Answer:
40 miles in an hour
Step-by-step explanation:
240/6 = 40/1
5|2x - 3| + 4 = 9
How do you solve this
Answer:
x = 2, or x = -1
Step-by-step explanation:
If 2x - 3 is inside the parenthesis (), then the value of x is 2.
If 2x - 3 is inside the absolute value sign, then the value of x will probably be -1.
Solution 1
(10x-15) + 4 = 9
10x -11 = 9
10x = 20 -> x = 2
Solution 2 (Not 100% sure)
|10x -15| +4 = 9
10x + 15 +4 = 9
10x + 19 = 9
10x = -10 -> x = -1
Please correct me if I'm wrong.
Can someone really help me please!!!!!!!!
Answer: 1/2
Step-by-step explanation: The line goes up one and over two. That is how you find your slope from a graph.
What is the range & domain of the set
{(−6, 14), (10, 19), (4, -9), (3, 2), (6, −13)}
Answer:
The domain is {-6, 3, 4, 6, 10}
The range is {-13, -9, 2, 14, 19}
Step-by-step explanation:
Any set of ordered pairs has a domain and a range
The domain is the values of x-coordinates of all ordered pairs
The range is the values of y-coordinates of all ordered pairs
∵ The set is {(-6, 14), (10, 19), (4, -9), (3, 2), (6, -13)}
∵ x-coordinates of all points are -6, 10, 4, 3, 6
→ These values are the domain of the set
∴ The domain is {-6, 3, 4, 6, 10}
∵ y-coordinates of all points are 14, 19, -9, 2, -13
→ These values are the range of the set
∴ The range is {-13, -9, 2, 14, 19}
Which expression has a value of 2/3
1. 8 + 24 : 12 x 4
2. 8 + 24 = (12 x 4)
3. 8+ (24 = 12) x4
4. (8 +24) + (12 x 4)
−7 + 3(8n − 8) = 8(7 + 3n) please show work
Answer:
Step 1: Simplify both sides of the equation.
−7+3(8n−8)=8(7+3n)
−7+(3)(8n)+(3)(−8)=(8)(7)+(8)(3n)(Distribute)
−7+24n+−24=56+24n
(24n)+(−7+−24)=24n+56(Combine Like Terms)
24n+−31=24n+56
24n−31=24n+56
Step 2: Subtract 24n from both sides.
24n−31−24n=24n+56−24n
−31=56
Step 3: Add 31 to both sides.
−31+31=56+31
0=87
Answer:
There are no solutions.
Step-by-step explanation:
f(x)=2/3x+3 what is the value of f(12)
Answer:
f(12) = 11
Step-by-step explanation:
Step 1: Define
f(x) = 2/3x + 3
f(12) is x = 12
Step 2: Substitute and Evaluate
f(12) = 2/3(12) + 3
f(12) = 8 + 3
f(12) = 11
what is the value of 5 in 7,156,489
Answer:
The value of 5 is 50,000
Step-by-step explanation:
The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years?
Answer:
y = 53
Step-by-step explanation:
To get the answer, first put 19 in place of the x, and then times that iwth two, getting 38, you add that to 15. The answer is 53.
Answer:The Value of the coin after 19 years is $53.
Step-by-step explanation:If x=age, then simply substitute the x in “2x+15” for 19.After you do that you should get y=2(19)+15.Do the math to get y=38+15. Y=53.
Which describes the role of oxygen in photosynthesis? A. It is a reactant, so it is released by the plant. B. It is a product, so it is released by the plant. C. It is a reactant so it enters the plant. D. It is a product, so it enters the plant.
Answer:
B) It is a product, so it is released by the plant.
Step-by-step explanation:
- Plants release oxygen for humans and humans give carbon dioxide to plants.
- The role of oxygen in photosynthesis is a waste product.
Answer: The oxygen gas is a product, so it is released by the plant.
Explanation:
Photosynthesis is defined as the process by which the producers make glucose with the help of carbon dioxide and water in the presence of sunlight.
The chemical equation representing this reaction follows:
In the above reaction, oxygen gas is written on the product side. So, it is formed by the plant and is released.
Hence, the oxygen gas is a product, so it is released by the plan.
Jackie plays football for the New England Patriots. During the second quarter, Jackie carried the ball 2 times. He gained four yards during the first carry and lost seven yards during the second. HOw many total yards did he gain during the second quarter?
Answer:
Actually he lost 3 yards.
It means he gained -3 yards.
Step-by-step explanation:
During second quarter, Jackie carried the ball 2 times. He gained 4 yards during first carry.
He lost 7 on second carry.
He gained = 4-7 =-3 yards
1,500,000,000 in standard notation
In 1819, the United States purchased Florida from Spain for
$5 X 106. The area of Florida is about 6.6 x 104 square miles.
Which key strokes on a calculator will give the cost the
United States paid for each square mile of Florida?
A) 6.6EE4×5EE(-)6
B) 6.6EE4÷5EE6
C)5EE6×6.6EE4
D)5EE6÷6.6EE4
Answer:
D. 5 x 10⁶ ÷ 6.6 x 10⁴Step-by-step explanation:
If 6.6 x 10^4 square miles of florida costs $5 X 10^6, then to get one square miles we will follow the given steps below;
6.6 x 10^4 mi² = $5 X 10^6
1mi² = $x
Cross multiply;
$5 X 10^6 * 1 = 6.6 x 10^4 * x
6.6 x 10⁴ x = 5 X 10⁶
Divide both sides by 6.6 x 10⁴ to get x;
6.6 x 10⁴ x /6.6 x 10⁴ = 5 x 10⁶/6.6 x 10⁴
x = 5 x 10⁶ ÷ 6.6 x 10⁴
x = 0.76*10⁶⁻⁴
x = $0.76*10²
Hence the key strokes on a calculator will give the cost the United States paid for each square mile of Florida is 5 x 10⁶ ÷ 6.6 x 10⁴
Solve for x: 3x + 11 = 41
Answer:
x=10
Step-by-step explanation:
move all terms that don't contain x to the right side and solve.
In which situation is the distance traveled proportional to time?
A. An airplane landing
B. A soccer ball you kick across a field
C. A person running on a treadmill at 3 mph for 6 minutes
D. A 3-minute ride on a roller coaster
Answer:
c
Step-by-step explanation:
what is a line graph
Answer:
A graph with points connected by lines to show how something changes in value:
• as time goes by,
• or as something else changes.
Step-by-step explanation:
Answer:
This is a line graph
Step-by-step explanation:
Find the difference.
24 - 48
-100 points
Answer:
24-48=-24
Step-by-step explanation:
24-48-100
=- 24-100
= -124
Lol
Please help me with this!! 18 points!!
Answer:
Step-by-step explanation:
20 is 8x8^5=262144 (8x8)^5= 1073741824 so they are not the same
21 is (3^2)^-3 = 0.001372 (3^3)^-2=0.001372 THEY ARE NOT THE SAME
okay thats
all i got its a bit hard to read for me sorry
The table represents a function.
What is f(5)?
A. -8
B. -1
C. 1
D. 8
Answer:
A. -8
Step-by-step explanation:
We can look at the table and figure out how we get f(5)
really its just the x value pugged into the x value for the function
after that we look on the table, f(5) is -8 because at the bottum of the table it shows 5 and -8
High Hopes^^
Barry-
Find the value of k. Then find the angle measures of the polygon
Answer:
45° + 2k + k = 180°
=> 45 + 3k = 180
=> 3k = 180 – 45
=> k = 135/3
=> k = 45
other two angles :-
2k = 2×45 = 90°
k = 45°
What’s -4•3-6•5
And the dot is multiplication!
Answer:
-42
Step-by-step explanation:
I put it in a calculator
Answer:
-42
Step-by-step explanation:
the answer should use PEMDAS so it is -42
Complete the expression so it forms a perfect-square trinomial.
x² - 5x +
✔ 25/4
x² +
x + 49
Answer:
Second question in Assignment = A) 14
Step-by-step explanation:
x^2 = 14x +49
Answer: 14
Step-by-step explanation:
The first one is 25/4 then 14
the cost of renting a sailboat at a lake is $20 per hour plus $12 for lifejackets. Write an equation in slope-intercerpt form that can be used to calculate the total amount you would pay for using this sailboat
Answer:
y = 20x + 12 is the answer