Answer:
54,427
here's your answer
Sofia tem 52 triângulos retângulos isósceles iguais. Ela quer fazer quadrados usando alguns desses triângulos. Ela pode fazer quadrados de quantos tamanhos diferentes?
Answer:
Portanto, o Sofia pode fazer 6 tamanhos diferentes
Step-by-step explanation:
A fim de sermos capazes de determinar efetivamente quantos quadrados de diferentes tamanhos podem ser formados a partir do triângulo isósceles 52, resolvemos isso usando a fórmula
2 (n + 1) Onde n = 0 e todos os inteiros positivos
em outro para obter um tamanho diferente para os quadrados, temos que adicionar mais triângulos para aumentar o tamanho
a) quando n = 0
2 (0 + 1) = 2 × 1 = 2 triângulos isósceles iguais
A união de 2 triângulos isósceles forma um quadrado. Este é o primeiro quadrado
= 1 quadrado
b) quando n = 1
2 (1 + 1) = 2 × 2 = 4 triângulos isósceles iguais = 1 quadrado
c) quando n = 2
2 (2 + 1) = 2 × 3 = 6 triângulos isósceles iguais = 1 quadrado
d) quando n = 3
2 (3 + 1) = 2 × 4 = 8 triângulos isósceles iguais = 1 quadrado
e) quando n = 4
2 (4 + 1) = 2 × 5 = 10 triângulos isósceles iguais = 1 quadrado
f) quando n = 5
2 (5 + 1) = 2 × 6 = 12 triângulos isósceles iguais = 1 quadrado
Adicionamos o número total de triângulos usados
2 + 4 + 6 + 8 + 10 + 12 = 42 triângulos
42 triângulos de 52 triângulos formariam 6 quadrados com tamanhos diferentes
Vamos fazer mais um, onde n = 6
g) quando n = 6
2 (6 + 1) = 2 × 7 = 14 triângulos isósceles iguais = 1 quadrado
2 + 4 + 6 + 8 + 10 + 12 + 14 = 56 triângulos
Isso já excedeu o número dado de triângulos em questão.
Portanto, o Sofia pode fazer 6 tamanhos diferentes de quadrados usando 42 triângulos isósceles iguais
y intercept is -4 and the slope is 10
Answer:
y=10x-4
Step-by-step explanation:
Answer:
y=10x-4
Step-by-step explanation:
how much hamburger will it take to make 300
It all depends on how you want your hamburger. If you're serving it as a main dish, 300 hamburger patties (each around 4 ounces) should be plenty to feed 300 people. If you utilize hamburger meat as a topping or filler in a meal, you'll need a different amount.
What is arithmetic operation?Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. The four basic arithmetic operations are addition, subtraction, multiplication, and division. Arithmetic mean is a number calculated by dividing the sum of a set's elements by the number of values in the set.
Here,
It all depends on how you want to eat the hamburger. If you're serving it as a main course, 300 hamburger patties, each weighing around 4 ounces, should plenty to satisfy 300 people. It will need a different quantity of hamburger meat if you use it as a topping or filler in a dish.
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Complete question:
How much hamburger will it take to make 300 three oz patties with a 20% shrinkage?
On March 14 at 1:59, people celebrate Pi Day by eating pie. Why do you
think people celebrate on this day at this time?
Answer:
They celebrated it on March 14 at 1:59 because...
The first few digits of pi are --- 3.14159
The date of March 14 is 3/14. Then you add the 1:59 it makes the first few digits of pi.
Step-by-step explanation:
The tradition to celebrate Pi Day on 14th March started in the late 80's, when the physicist Larry Shaw organized the first Pi Day celebration at the San Francisco Exploratorium. Since then, Pi Day has become a popular way for mathematicians, educators, and students to celebrate and share their interests in mathematics. Many schools, universities, and math clubs around the world host events, such as pi recitation contests, pi-themed games, and pie-eating contests, to celebrate this day.
Eating pie is also a way to join the celebration, as the word "pi" sounds like "pie". People often eat different types of pie on Pi Day, such as pizza pie, sweet pies, and savory pies to celebrate the mathematical constant pi and its connection to the word “pie”.
rite a partial decay series for At-217 undergoing the following sequential decays: α, β, α, β.
Part A
α-decay
Express your answer as a nuclear equation.
Rite a partial decay series for At-217 undergoing the following sequential decays,
α decay:
217 At → 4 α + 213 Bi
85 2 83
In order to change into a more stable state, a radioactive atom will naturally produce radiation in the form of energy or particles. It is necessary to distinguish between radioactive material and the radiation it produces. Beta, gamma, and alpha decay are the three kinds of radioactivity.
"Alpha decay," a common form of radioactive decay, happens when a nucleus emits an alpha particle (a helium-4 nucleus). During the usual radioactive decay process known as beta decay, a nucleus generates beta particles. The child nucleus will possess a greater atomic mass than the parent nucleus.
α decay:
217 At → 4 α + 213 Bi
85 2 83
β decay:
213 Bi → 0 e + 213 Po
83 -1 84
α decay:
213 Po → 4 α + 209 Tl
84 2 82
β decay:
209 Tl → 0 e + 209 Pb
82 -1 83
Therefore,
Rite a partial decay series for At-217 undergoing the following sequential decays,
α decay:
217 At → 4 α + 213 Bi
85 2 83
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how would I figure this out?? pls explain.
Answer:
D
Step-by-step explanation:
The diagonals of a rhombus bisect the angles, thus
∠ ABC = ∠ CBD = 5x - 18 and
∠ BAC = ∠ DAC = x
The diagonals are perpendicular bisectors of each other, thus
the angles round the intersection of the diagonals = 90°
Consider the triangle on the left of the rhombus, then
5x - 18 + x + 90 = 180 ( sum of angles in a triangle )
6x + 72 = 180 ( subtract 72 from both sides )
6x = 108 ( divide both sides by 6 )
x = 18 → D
a penny is found to have a mass of grams. using unit analysis, show what the mass of this penny is in pounds.
mass of the penny in pounds is 0.00220462 pounds.
To explain this, we can use unit analysis to convert the mass from grams to pounds. We know that there are 453.592 grams in one pound, so we can set up a conversion factor:
1 pound / 453.592 grams
To convert the mass of the penny in grams to pounds, we can multiply the given value by this conversion factor:
( X grams ) * ( 1 pound / 453.592 grams )
Simplifying this expression, the grams unit cancels out, leaving us with the mass of the penny in pounds:
( X / 453.592 ) pounds
Plugging in the given mass of the penny in grams, we get:
( Y grams ) * ( 1 pound / 453.592 grams ) = ( Y / 453.592 ) pounds
the mass of the penny in pounds is ( Y / 453.592 ) pounds, which is approximately 0.00220462 pounds.
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What’s the equation for f and g?
The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.
Answer:
mean = 85, standard deviation = 3.5
Step-by-step explanation:
The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.
From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.
σ = standard deviation, μ = mean
Hence; μ ± 2σ = (78, 92)
μ - 2σ = 78 (1);
μ + 2σ = 92 (2)
Adding equation 1 and 2, gives 2μ = 170
μ = 85
μ - 2σ = 78
85- 2σ = 78
2σ = 7
σ = 3.5
Plsss help mee :,) ill give brainlist
Answer:
3/5, 1, 8/5, 8
Step-by-step explanation:
Answer:
0, 35, 8/5, 8. I think
Step-by-step explanation:
hope this helps :3
im sorry if im wrong
What is the diameter of a sphere with a volume of 9409 in, to the nearest tenth of an inch?
Answer:
26.29 cu. in.
Step-by-step explanation:
how to factor quadratic equations
Work out x^2- 2x
when x =4
Answer:
8
Step-by-step explanation:
\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)
What is the total number
Answer:
What is the total number
Step-by-step explanation:
Diego is solving the equation x2 – 12x = 21
Which value must be added to both sides of the equation to make the left side a perfect -square trinomial?
A
36
B
32
с
144
D
4
Answer:
\(36\)
Step-by-step explanation:
Given
\(x^2 - 12x = 21\)
Required
Make a perfect square
First, get the coefficient (k) of x
\(k = -12\)
Divide by 2
\(\frac{k}{2} = \frac{-12}{2}\)
\(\frac{k}{2} = -6\)
Square this result:
\((\frac{k}{2})^2 = (-6)^2\)
\((\frac{k}{2})^2 = 36\)
Hence, 36 when added to the left-hand side makes it a perfect square trinomial
Use simple interest to find the ending balance
$14,000 at 6% for 9 years
Answer:
$21,560.00
Step-by-step explanation:
SI = 14,000 x 0.06 x 9
SI = $7,560
$14,000 + $7,560 = $21,560.00
Find the height of the solid circular cylinder of total surface area 660cm²and radius 5cm.
Step-by-step explanation:
h≈16.01
is the answer mske me brainlist
Answer:
Step-by-step explanation:
Hi there!
Given;
Total surface face (TSA)= 660cm²
Radius (r) = 5cm
Now;
TSA= 2πr( r + h)
660cm²= 2*(22/7)*5 (5+h)
660cm² = \(\frac{220}{7}\)(5+h)
\(\frac{660}{\frac{220}{7} }\)= 5+h
h = 21-5
Therefore, the height of 16 cm.
Hope it helps!
A dependent variable is the variable that we wish to predict or explain in a regression model. True False
True. In a regression model, the dependent variable is the variable that we aim to predict or explain using one or more independent variables.
In a regression model, the dependent variable is indeed the variable that we aim to predict or explain. It represents the outcome or response variable that we are interested in understanding or analyzing. The purpose of the regression analysis is to examine the relationship between this dependent variable and one or more independent variables. By identifying and quantifying the influence of the independent variables on the dependent variable, regression analysis allows us to make predictions or explanations about the behavior or value of the dependent variable.
The regression model estimates the relationship between the variables based on observed data and uses this information to infer how changes in the independent variables impact the dependent variable.
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The funtion f is defined by the power series
f(x)= the sum n=0 to infiniti ((-1)^nx^(2n))/(2n+1)!
Find f'(0) and f''(0) determine whether f has a local maximum, a local minimum, or neither at x=0
Show that 1-(1/3!0 approximates f(1) with error less than 1/100
Show that y=f(x) is a solution to the differential equation xy' + y = cosx
The f(x) is given by a power series. f'(0) = 0, f''(0) = -2/3, so f has a local maximum at x=0. The Taylor series of f(1) approximated by 1-(1/3!) with error less than 1/100. The differential equation is xy' + y = cos(x) has solution y(x) = sinx .
To find f'(0), we differentiate the power series term by term
f'(x) = ∑n=1^∞ (-1)^(n-1) x^(2n-1) / (2n)!
Then, we substitute x=0 to get
f'(0) = ∑n=1^∞ (-1)^(n-1) (0)^(2n-1) / (2n)! = 0
To find f''(0), we differentiate the power series for f'(x)
f''(x) = ∑n=1^∞ (-1)^(n-1) (2n-1) x^(2n-2) / (2n)!
Then, we substitute x=0 to get
f''(0) = ∑n=1^∞ (-1)^(n-1) (2n-1) (0)^(2n-2) / (2n)! = 0
Since f'(0) = 0 and f''(0) = 0,
f has a local maximum at x=0
To show that 1-(1/3!) approximates f(1) with error less than 1/100, we first note that
|f(1) - (1 - 1/3!)| = |∑n=2^∞ (-1)^(n-1) / (2n+1)!| ≤ ∑n=2^∞ 1/(2n+1)!
We can use the inequality 1/(n!) < 1/2^n to bound the series
∑n=2^∞ 1/(2n+1)! < ∑n=2^∞ 1/2^(2n-1) = 1/4
Therefore, |f(1) - (1 - 1/3!)| < 1/4, which is less than 1/100.
To show that y=f(x) is a solution to the differential equation xy' + y = cosx, we first find y'
y(x) = ∑n=0^∞ (-1)^n x^(2n) / (2n+1)!
y'(x) = ∑n=1^∞ (-1)^(n-1) x^(2n-1) / (2n)!
Then, we substitute y and y' into the differential equation
x ∑n=1^∞ (-1)^(n-1) x^(2n-1) / (2n)! + ∑n=0^∞ (-1)^n x^(2n) / (2n+1)! = cosx
We can simplify this equation by combining the series
∑n=0^∞ [(-1)^n x^(2n) / (2n+1)! - (-1)^n x^(2n+1) / (2n+2)!] = cosx / x
Recognizing the series on the left-hand side as the power series for sinx, we have
sinx / x = cosx / x
Therefore, y(x) = sinx is a solution to the differential equation.
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Marking brainliest
Can someone tell me why animal testing is bad?
The harmful use of animals in experiments is not only cruel but also often ineffective. Animals do not get many of the human diseases that people do, such as major types of heart disease, many types of cancer, HIV, Parkinson's disease, or schizophrenia.
what is the answer??? so confused
Answer:
3 1/2
Step-by-step explanation:
Put '3' where 'y' is and compute :
[12 -3(3) ] / 2 + 3 [ (2(3)-4 )/3) =
3/2 + 2
= 3 1/2
Arik invested $500 in a savings account that earns 6.25% interest compounded monthly. Assuming there are no other deposits or withdrawals, what is the total amount in his account after 4 years?
The total amount that would be found in the account after 4 years, would be $ 641. 69
How to find the total amount ?The total amount after 4 years in Arik's account can be found by the formula :
= A = Amount invested x ( 1 + r /n )ⁿ
The variables are:
Amount invested = $ 500
r = 6.25% = 0. 0625
n = 12
t = 4 years
The total amount is then :
A = 500 x ( 1 + 0. 0625 / 12 ) ^ ⁽¹² ˣ ⁴ ⁾
A = $ 641. 69
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The disk D of radius R rolls without slipping inside the fixed ring whose inner radius is 2 R. Bar AB is pin-connected to the center of the disk at one end and is pin-connected to bar BC at the other end. The other end of BC is pin-connected to the fixed support at C. At the instant shown, the disk is at the lowest position in the ring, bar BC is horizontal, and the pin at B is moving with constant speed vo as shown. Using the given component system, at this instant, compute the angular velocities and and angular accelerations of the disk D and the bar AB 4R
Angular velocities: ω_D = v_D/R and ω_AB = v₀/(2R) and Angular accelerations: α_D = 0 and α_AB = 0
At the instant shown, we can analyze the motion of disk D and bar AB in terms of their angular velocities and angular accelerations.
1. For disk D:
As the disk rolls without slipping, its linear speed at the point of contact with the ring is equal to the product of its radius (R) and its angular velocity (ω_D). Since the inner radius of the fixed ring is 2R, the linear speed of the disk is v_D = ω_D * R.
2. For bar AB:
Since pin B is moving with a constant speed (v₀), we can relate this to the angular velocity of bar AB (ω_AB) as v₀ = ω_AB * 2R.
Now, let's compute the angular accelerations of disk D and bar AB.
1. For disk D:
The disk is rolling without slipping, so its linear acceleration at the point of contact with the ring is equal to the product of its radius (R) and its angular acceleration (α_D). As the disk is at its lowest position and moving with constant speed, its linear acceleration is zero. Therefore, α_D = 0.
2. For bar AB:
Since the pin at B is moving with a constant speed (v₀), the linear acceleration of point B is zero. This implies that the angular acceleration of bar AB (α_AB) is also zero.
In summary, at the given instant:
- Angular velocities: ω_D = v_D/R and ω_AB = v₀/(2R)
- Angular accelerations: α_D = 0 and α_AB = 0
To begin, we can use the fact that the disk is rolling without slipping inside the fixed ring to relate the speed of the disk to the speed of the pin at B. Specifically, we know that the speed of any point on the rim of the disk is equal to the speed of the pin at B, which we'll call vo. Next, we can use the geometry of the system to relate the angular velocities of the disk and bar AB to the speed of the pin at B. Let's start with the disk. The disk is rolling without slipping, so its speed can be related to its angular velocity, which we'll call ωd. Specifically, we know that the speed of any point on the rim of the disk is equal to the product of its radius (R) and its angular velocity (ωd). So, we have:
vo = R * ωd
Solving for ωd, we get:
ωd = vo / R
Next, let's consider bar AB. Since it is pin-connected to the centre of the disk, its angular velocity is equal to the angular velocity of the disk. So, we have:
ωAB = ωd = vo / R
Now, let's compute the angular accelerations of the disk and bar AB. We can do this using the component system given in the problem. Specifically, we can use the fact that the net torque on each component must be equal to its moment of inertia times its angular acceleration.
Let's start with the disk. The only torque acting on the disk is due to the force of gravity, which is trying to rotate the disk clockwise. This torque is equal to the product of the force of gravity (mg) and the distance from the centre of the disk to the point where the force is applied (which is R/2 since the force is applied at the centre of mass of the disk). So, we have:
τd = (mg) * (R/2)
On the other hand, the moment of inertia of the disk can be found using the formula for a solid cylinder rotating about its central axis, which is:
Id = (1/2) * m * R²
Setting these two expressions equal and solving for the angular acceleration of the disk, we get:
τd = Id * αd
(mg) * (R/2) = (1/2) * m * R² * αd
Simplifying, we get:
αd = (2*g) / R
where g is the acceleration due to gravity.
Finally, let's compute the angular acceleration of bar AB. Since it is pin-connected to the centre of the disk, it experiences no net torque. Therefore, its angular acceleration is zero.
In summary, at the instant shown, the angular velocities and angular accelerations of the disk and bar AB are:
ωd = vo / R
ωAB = vo / R
αd = (2*g) / R
αAB = 0
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help me :’(b bjkknjhhh
Answer:
Read below
Step-by-step explanation:
For the first row, the inequality is x ≤ -5.
For the second row, the inequality is x < -5.
For the last row, the inequality matching the graph is x ≥ -5.
A trick to remember the sign is if the point on the graph is empty, then the sign would be either < or >, and if it's filled, it would be ≤ or ≥.
Also, x is less is on the left (negative) and x is more is on the right (positive).
Jaden writes an inequality that compares -16 to another number. The inequality shows that -16 is located to the right of the other number on a number line. Which of the following could be Jayden's inequality
Answer:
24>-16
Step my step explanation:
please help me. this is a geometry problem
Step-by-step explanation:
"bisects" means "cuts in half".
that is the whole "secret" for that problem.
now we know, that both line segments are equally long (exactly half of the total length of UV).
so,
4x - 9 = 2x + 5
2x = 14
x = 7
Which of the following is true about a "cumulative ACK witha sequence number M in the Go-Back-N protocol) A When received by the sender, it retransmits all da packets in the window up to sequence number M When received by the sender, it slides its window by b When sent by the receiver, all packets up to sequer number M were correctly received and delivered D. Both (B) and (C) B. C. 11. The function that is not a cause of extra overhead of routers used to forward IPv4 datagrams is: A. The datagram header checksum B. The datagram fragmentation C. The datagram options D. The datagram reassembly 12. In the Selective-Repeat protocol, if the timer expires, A. All packets in the window are retransmitted and t is restarted B The packet, for which the timer has exp retransmitted immediately and its timeout in Part 1: (20 points, I point each) Choose the best answer for each of the following multiple-choice questions 1. Which of the following Internet transport-layer services provide error checking" A. TCP B. UDP C Neither TCP nor UDP D. Both TCP and UDP 2. The type of delay that is not caused by the store-and-forward strategy used by the switching devices is: A. The processing delay B. The queuing delay C. The transmission delay D. The propagation delay 3. In a statistical multiplexed system, if the average queuing delay is very close to zero, then: A. The system is very well-engineered B. The traffic intensity is greater than 50% C. The system resources are inefficiently utilized D. None of the above
TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.
TCP provides error checking to ensure reliable data delivery, making option A the correct answer.
The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.
The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.
Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.
3. The correct answer is A. The system is very well-engineered.
In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.
Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.
When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.
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Eight less a number is less than or equal to
seventeen.
Answer:
less than
Step-by-step explanation:
Answer:
n ≤ 25
Step-by-step explanation:
n - 8 ≤ 17
n - 8 (+8) ≤ 17 (+8)
n ≤ 25
n ≤ 25 is your answer
Hope this helps <3
Round 13.007 to the hundredths place value.
Answer:
13.01
Step-by-step explanation:
The zero next to the 7 is the hundredths place.
13.007
Drop the 7.
Now you have 13.00
Since 7 is from 5 to 9, the last zero goes up 1 to 1.
Answer: 13.01
Answer:
13.01
Step-by-step explanation:
13.00|7
When the number is 5 or higher round up
13.01
what is the solution to 2/3a - 1/6 = 1/3
Answer:
Step-by-step explanation:
a=3/4