there are 641 boys and 490 girls in greenland school. Each child makes 8 art pieces for classroom decorations. All the art pieces are then distributed eqaully among 58 classrooms. How many art pieces are in each classroom

Answer:

QR is the longest segment.

Step-by-step explanation:

The longest side of a triangle is opposite to greatest angle.

m∠QSR = 75° ⇒ QR is the longest segment.

Answer:5

Step-by-step explanation:For this problem you need to find one fourth of 20. This is done by dividing 20 by 4. The final answer will be 5

20/4 = 5

A linear-quadratic state estimator and a particle filter are both estimation techniques used in control systems, but they differ in their underlying principles and application domains.

A linear-quadratic state estimator, often referred to as a Kalman filter, is a widely used optimal estimation algorithm for linear systems with Gaussian noise. It assumes linearity in the system dynamics and measurements. The Kalman filter combines the predictions from a mathematical model (state equation) and the available measurements to estimate the current state of the system. It provides a closed-form solution and is computationally efficient. However, it relies on linear assumptions and Gaussian noise, which may limit its effectiveness in nonlinear or non-Gaussian scenarios.

On the other hand, a particle filter, also known as a sequential Monte Carlo method, is a non-linear and non-Gaussian state estimation technique. It employs a set of particles (samples) to represent the posterior distribution of the system state. The particles are propagated through the system dynamics and updated using measurement information. The particle filter provides an approximation of the posterior distribution, allowing it to handle non-linearities and non-Gaussian noise. However, it is computationally more demanding than the Kalman filter due to the need for particle resampling and propagation.

The choice between a linear-quadratic state estimator and a particle filter depends on the characteristics of the system and the nature of the noise. The Kalman filter is suitable for linear and Gaussian systems, while the particle filter is more versatile and can handle non-linearities and non-Gaussian noise. However, the particle filter's computational complexity may be a limiting factor in real-time applications.

In summary, a linear-quadratic state estimator (Kalman filter) is a computationally efficient estimation technique suitable for linear and Gaussian systems. A particle filter, on the other hand, provides more flexibility by accommodating non-linearities and non-Gaussian noise but requires more computational resources. The choice between these methods depends on the specific system characteristics and the desired accuracy-performance trade-off.

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The ideas in the excerpt contributed to:

Establishment of foreign policies that sent monetary aid.

We need to understand the time at which the excerpt was written, which was of 1950.

This was the beginning of the cold war, between the countries with capitalist economies and socialist economies.

The title is "We Are Losing Asia Fast", saying that China was already lost, hence the article was stating that Asian countries needed benefits to not go to the socialist side.

To avoid the Asian countries aligning themselves to the socialism, monetary aid was sent to them.

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Using probabilities P(A₁) = 0.40 , P(A₂) = 0.60, P(B|A₁) = 0.20, P(B|A₂) = 0.05,

a) No, A₁ , A₂ are not mutually exclusive because , their intersection probability is not a zero.

b) P(A₁∩ B) is 0.08 , P(A₂ ∩ B) is 0.03

c) P(B) = 0.09

d) Using Bayes' theorem P(A₁|B) is 0.89 , P(A₂|B) is 0.33 .

a. A₁ and A₂ are not mutually exclusive, as their intersection probability is non-zero (given as 0 in the problem statement).

b. We can compute P(A₁∩ B) and P(A₂∩ B) using the formula for conditional probability:

P(A₁∩ B) = P(B|A₁) * P(A₁) = 0.20 * 0.40 = 0.08

P(A₂ ∩ B) = P(B|A₂) * P(A₂) = 0.05 * 0.60 = 0.03

c. To compute P(B), we can use the law of total probability, which states that the probability of an event B can be calculated as the sum of the probabilities of B given each possible event in the sample space:

P(B) = P(B|A₁) * P(A₁) + P(B|A₂) * P(A₂) = 0.20 * 0.40 + 0.05 * 0.60 = 0.09

d. To compute P(A₁|B) and P(A₂|B), we can use Bayes' theorem:

P(A₁|B) = P(B|A₁) * P(A₁) / P(B) = 0.20 * 0.40 / 0.09 ≈ 0.89

P(A₂|B) = P(B|A₂) * P(A₂) / P(B) = 0.05 * 0.60 / 0.09 ≈ 0.33

Therefore, the probability that event A₁ occurred given that event B occurred is approximately 0.89, and the probability that event A₂ occurred given that event B occurred is approximately 0.33.

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The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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Answer:

Step-by-step explanation:

The interior angles of a triangle add to 180°:a + b + c = 180°

Angles c and d make a straight angle, which is 180°:d + c = 180°

So d + c equals a + b + c:d + c = a + b + c.

Subtract c from both sides:d = a + b.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer:

please check explanations

Step-by-step explanation:

As we all know, i is same as root of -1

let us expand what we have;

(1 + i)^2

= 1(1 + i) + i(1 + i)

= 1 + i + i + i^2

as i is square root of -1, the square of the square root of -1 is -1

Thus, we have

1 + 2i - 1

= 2i

Answer:

The answer is 103,776

Step-by-step explanation: I took the k12 test.

Answer:

0

Step-by-step explanation:

6 - 7 - (-4) - 3

6 - 7 first, and the 4 - 3

-1 + 1

-1 + 1 is 0

0

Answer:

Explaining it through text was too much work for me so that's why I took a picture. Hope you don't mind

Answer:

5

Step-by-step explanation:

4(5+n)=4(n+p)

20+4n=4n+4p

4p=20

p=20/4

p=5

Answer:

the value of p is 5

Step-by-step explanation:

the expression 4(5 + n) is equivalent to 4(n + p)

4(5+n)=4(n+p)

5+n=n+p

n+5=n+p

comparing each other

we get p=5

Answer: x ≥ −34

Step-by-step explanation: Use Math-way if you have more of those questions then just waste your points and hope someone answers your question Your welcome.

Answer:

the third option

Step-by-step explanation:

what does that mean ?

to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).

a square root of a not square number is irrational (not rational).

so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).

for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.

what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.

so, what works for 9 - sqrt(14) as factor ?

we cannot just square this as

(9- sqrt(14))² = 81 -2sqrt(14) + 14

we still have the square root included.

but remember the little trick :

(a+b)(a-b) = a² - b²

without any mixed elements.

so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get

81-14 = 67 which is a rational number.

therefore, the third answer option is correct.

follow the rule

\(\\ \sf\longmapsto \dfrac{a+b}{c-d}\)

To rationalize the above fraction we need to change the sign of denominator patt and multiply with both numerator and denominator

Like

\(\\ \sf\longmapsto \dfrac{a+b(c+d)}{(c-d)(c-d)}\)

Here correct option is C

Answer:

A

Step-by-step explanation:

follow the pattern  in its timetables,hope this helps u!

Answer:

x^2 -12x+36

Step-by-step explanation:

(x - 6)^2

(x-6)(x-6)

FOIL

x^2 - 6x-6x+36

Combine like terms

x^2 -12x+36

Answer:

2

Step-by-step explanation:

yay thats the first question i answered

Answer: I just did the test so therefore the answer would be 9 hours

Step-by-step explanation: hoped this helped thx for the points :D

Answer:

A

Step-by-step explanation:

you do 3.6 times both the cm or number and you get 14.4 cm and 5.4 cm

Answer:

$53.36

Step-by-step explanation

The polygons from the figure given below that are similar are Polygon B and Polygon C .

In the question ,

it is given that there are three polygons ,

we have to check which polygons are similar ,

to find the similarity we compare the length of all the polygons .

Let us first check for  Polygon A and Polygon B ,

105/120 = 7/8

80/90 = 8/9.

and  105/120 ≠ 80/90 ,

So , Sides are not in proportion for Polygons A and B.

Hence , the Polygons A and B are not Similar.

Let us check for Polygon A and C .

105/100 = 21/20

80/75 = 16/15.

and 105/100 ≠ 80/75

So , sides are not in proportion for Polygons A and C.

Hence , the Polygons A and C are Non Similar.

Now  for Polygon B and C .

120/100 = 6/5.

90/75 = 6/5.

and  120/100 = 90/75 = 6/5

So , Sides are in proportion for Polygons B and C .

Hence , the Polygons B and Polygon C are Similar.

Therefore , the Polygon B and Polygon C are similar .

The given question is incomplete , the complete question is

Which pairs of rectangles are similar polygons ? select similar or not similar for each pair of rectangles from the figure given below .

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Answer:

I'm the coolest of all

Step-by-step explanation:

Amogos

The statement "gateway of last resort is not set" means that there is no default route configured in a routing table of a network device (such as a router).

A default route, also known as the gateway of last resort, is used when there is no specific route available for a destination IP address, and thus, the network device needs a general path to forward the traffic. When the gateway of last resort is not set, the device will not know where to send traffic for unknown destinations, which may cause connectivity issues.

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In a case whereby c(x) = 4x-2 and d(x) = x2 + 5x,  is two different equation, then the value of c(d(x)) is 4x2 + 20x - 2.

the first equation is been given as  c(x) = 4x-2

And the second equation is been given as  d(x) = x2 + 5x

Then to know the value of c(d(x))  then we will need to find the multiplication of the values that is been associated with c and d and this can be done as:

c(d(x)) = [c(x2 + 5x)]

And this will give us

=[ 4(x2 + 5x) - 2]

then after expansion we will have 4x2 + 20x - 2, going through the solution, we can see that the function that is given is been followed and the values for each of the function is been substituted so that the the value of c(d(x)) can be gotten.

Therefore, option D is correct.

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An equation that relates T to N can be written as T = 750 + 560N.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).

Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:

T = A + B

Substituting the given parameters into the formula, we have;

T = (750 + 165N) + 395N

T = 750 + 165N + 395N

T = 750 + 560N.

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Complete Question:

Ann and her husband are each starting a saving plan. Ann will initially set aside $750 and then add $165 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+165N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $395 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=395N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.

Simplify your answer as much as possible.

The volumes of the cones area s follows:

3. 5.2 inches cube

4. 188.4 inches cube

The volume of the cone can be found as follows:

volume of a cone = 1 / 3 πr²h

where

Therefore,

3.

volume of the cone = 1 / 3 πr²h

r = 1 inches

h = 5 inches

Hence,

volume of the cone = 1 / 3 × π × 1² × 5

volume of the cone = 5π / 3

volume of the cone = 5.2 inches³

4.

volume of the cone = 1 / 3 πr²h

r = 6 metres

h = 5 metres

Hence,

volume of the cone = 1 / 3 × π × 6² × 5

volume of the cone = 180π / 3

volume of the cone = 188.4 inches³

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The first term of the infinite geometric series is 625.Let's dive deeper into the explanation.

We are given that the sum of the infinite geometric series is \(\( \frac{15625}{24} \)\)and the common ratio is\(\( \frac{1}{25} \).\)The formula for the sum of an infinite geometric series is \(\( S = \frac{a}{1 - r} \)\), where \( a \) is the first term and \( r \) is the common ratio.
Substituting the given values into the formula, we have \(\( \frac{15625}{24} = \frac{a}{1 - \frac{1}{25}} \).\)To find the value of \( a \), we need to isolate it on one side of the equation.
To do this, we can simplify the denominator on the right-hand side.\(\( 1 - \frac{1}{25} = \frac{25}{25} - \frac{1}{25} = \frac{24}{25} \).\)
Now, we have \(\( \frac{15625}{24} = \frac{a}{\frac{24}{25}} \).\) To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as \( \frac{15625}{24} \times\(\frac{25}{24} = a \).\)
Simplifying the right-hand side of the equation, we get \(\( \frac{625}{1} = a \).\)Therefore, the first term of the infinite geometric series is 625.
In conclusion, the first term of the given infinite geometric series is 625, which corresponds to option (a).



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Answer:

i don't know

Step-by-step explanation:

can you explain? thank you