(Q3) a=3 cm, b=7 cm, c=7.4 cmThe triangle is a(n) _____ triangle.

The summation function calculates the summation of the expression i^3 + 5 * i^3 for values of i ranging from 1 to n. It takes an input parameter n and returns the computed result.

To evaluate the summation, the function utilizes a loop that iterates over the values of i from 1 to n. During each iteration, it calculates the value of the expression i^3 + 5 * i^3 and accumulates the sum. Finally, the computed sum is returned as the output of the function.Here is an example implementation of the summation function in Python:def summation(n):
   result = 0
   for i in range(1, n+1):
       result += i**3 + 5*i**3
   return result
By invoking summation(n) with a specific value of n, you can obtain the summation of the expression i^3 + 5 * i^3 for the given range of i. The function ensures that n is greater than 1 to satisfy the given condition.

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The result obtained when a decision alternative is chosen and a chance event occurs is known as consequence. The answer is: b.

When a decision alternative is chosen and a chance event occurs, the result is referred to as a consequence. A consequence represents the outcome or outcome state that arises from the combination of a decision and a chance event.

It is the result or effect that occurs based on the chosen alternative and the unpredictable element introduced by the chance event.

Consequences are an essential concept in decision theory and decision analysis, as they help evaluate the potential outcomes and impacts of different choices and events. By considering the consequences associated with each decision alternative, decision-makers can assess the desirability or utility of different outcomes and make informed choices.

Hence, the correct option is: b. consequence.

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Hello!

In the given figure we can see that it is a right angled triangle .

Where,

Base is 9

We have to find the value of x i.e Hypotenuse

Here we are given base and we need to find the Hypotenuse.

Also we have been given the value of theta = 45°

Using trigonometric ratio :

cos \(\theta = \dfrac{ B}{H} \)

As per the question we have hypotenuse = x

Plugging the required values,

\( \cos 45 \degree = \dfrac{9}{x} \)

\( \dfrac{1}{ \sqrt{2} } = \dfrac{9}{x} \: \: \: \: \bigg(\because \cos 45\degree = \dfrac{1}{\sqrt2} \bigg)\)

further solving by cross multiplication

\(x = 9 \sqrt{2} \)

Hence, The value of x is 9√2

Answer : Option 1

Hope it helps! :)

∫(x + y) ds over M in the first octant = (4/3)√3 units²

The integral ∫(x + y) ds over the surface M, which is defined by the equation x + y + z = 2 in the first octant. To solve this problem, we need to parametrize the surface and calculate the integral.

First, we express z in terms of x and y: z = 2 - x - y. Since we're in the first octant, both x and y are non-negative. Now, we can parametrize M as follows:

r(u, v) = (u, v, 2 - u - v), where 0 ≤ u, 0 ≤ v, and u + v ≤ 2.

Next, we need to find the partial derivatives of r with respect to u and v:

ru = (∂r/∂u) = (1, 0, -1)
rv = (∂r/∂v) = (0, 1, -1)

Now, we calculate the cross product of these partial derivatives:

ru × rv = (1, 1, 1)

Then, find the magnitude of the cross product:

|ru × rv| = √(1² + 1² + 1²) = √3

We can now set up the integral using the parametrization:

∫∫(x + y) ds = ∫∫((u + v) |ru × rv|) dudv

Integrate over the triangular region in the uv-plane:

∫(u=0 to 2) ∫(v=0 to 2-u) ((u + v) √3) dudv

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Answer:

The answer is A trapezoid

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

To determine which of the given lines are tangent to circle p, we need to first find the equation of the circle.

The equation given is (x^3)(y^2)=25, which can be rewritten as y^2=25/(x^3).

Taking the derivative of this equation with respect to x,

we get: 2y(dy/dx) = -(75)/(x^4).

Simplifying this, we get dy/dx = -(75y)/(2x^4).

Now we can substitute the slope of each given line into this equation and find the corresponding value of y. If this value of y satisfies the equation of the circle, then the line is tangent to the circle at that point. We find that only the line y = 5x + 1 satisfies this condition, and therefore it is the only line that is tangent to circle p.

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Answer:

Step-by-step explanation:

cos30°=√3/2

Answer:

x=-1/2

Step-by-step explanation:

-6x-7=4x-2

-6x-7+6x=4x+6x-2

-7=10x-2

-7+2=10x-2+2

-5=10x

-5/10=10x/10

x=-1/2

Hope this helps!

Greetings from Brasil

From radiciation properties:

\(\large{A^{\frac{P}{Q}}=\sqrt[Q]{A^P}}\)

bringing to our problem

\(\large{6^{\frac{1}{3}}=\sqrt[3]{6^1}}\)

The requried radical form of the given expression is ∛6.

Radical form is mathematical expression that represents the value under the nth roots.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

Following the rule \(\sqrt[n]{x} = x^{1/n}\)
Similarly,
\(6^{1/3} = \sqrt[3]{6}\)

Thus, the requried radical form of the given expression is ∛6.

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The given equation is: `4/x+7 = 2`To solve the equation, we'll isolate x.

The first step is to get rid of the fraction, we can do that by multiplying both sides of the equation by `x + 7`:`(x + 7) * 4/(x + 7) = 2(x + 7)` Simplify:`4 = 2x + 14`

Subtract 14 from both sides:`-10 = 2x`

Solve for `x` by dividing both sides by 2:`x = -5. `Therefore, the answer is option c) x = -5

To solve the equation `4/x+7 = 2`, we multiply both sides of the equation by `(x + 7)` to eliminate the fraction, and simplify the resulting equation to obtain `x = -5`.

To solve the given equation 4/x+7 = 2, we will multiply both sides of the equation by (x + 7) to eliminate the fraction. The equation now becomes 4 = 2(x + 7).

Simplifying this expression by using the distributive property on the right-hand side, we obtain 4 = 2x + 14.

Next, we subtract 14 from both sides of the equation to isolate the variable `x`. The resulting equation is -10 = 2x.

We now divide both sides of the equation by 2 to obtain the value of `x`. Thus, x = -5.

Therefore, the answer is option c) x = -5.

In conclusion, the solution of the given equation 4/x+7 = 2 is x = -5. To obtain this result, we eliminated the fraction by multiplying both sides of the equation by (x + 7). Then, we simplified the resulting equation and isolated the variable x. Finally, we obtained the value of `x` by dividing both sides of the equation by 2.

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Answer:

Depends on how much it costs...

Step-by-step explanation:

Answer:

i will glady take one anyday

Step-by-step explanation:

its smol

Answer:

I think it is 25÷8

Step-by-step explanation:

this is because the circumference is found by π multiplied by the diameter. So the inverse would be the circumference divided by the diameter.

A string of length 6 can be formed using the symbols from the alphabet {A,B,C,D,E,F}, such that the string begins with either A, E, or F and ends in D in the following ways: There are 3 ways to select the first symbol (A, E, or F) of the string.

There are 6 ways to select the second symbol of the string (since any of the six symbols can be chosen at this point). There are 6 ways to select the third symbol of the string (since any of the six symbols can be chosen at this point). There are 6 ways to select the fourth symbol of the string (since any of the six symbols can be chosen at this point). There are 6 ways to select the fifth symbol of the string (since any of the six symbols can be chosen at this point).

There is only 1 way to select the sixth symbol (since it has to be D).Hence, the total number of ways to form the string of length 6 using the symbols from the alphabet {A,B,C,D,E,F}, such that the string begins with either A, E, or F and ends in \(D is 3⋅6⋅6⋅6⋅6⋅1 = 3⋅6⁴ = 3⋅1296 = 3888.\) , the correct option is (a) 3⋅6⁴.

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Answer:

Based on the given information, it is not possible to definitively determine whether the number generator is fair or not. However, we can make some observations and inferences:

We know that 70% of the socks in the drawer are black, which means that in a random selection of 10 socks, we would expect to see around 7 black socks on average.

The dot plot shows the number of black socks in 10 trials of the number generator. We can see that the number of black socks varies from 0 to 10, with some frequencies being higher than others.

Without knowing the exact frequencies or probabilities, we can see that the dot plot does not appear to be centered around 7 black socks, which is what we would expect from a fair number generator. However, it is difficult to determine whether the deviations from 7 are statistically significant or not, without more information.

Therefore, based on the given information, the most accurate statement is:

The number generator's fairness cannot be determined with certainty from the given data, but there are indications that it may not be perfectly fair.

Step-by-step explanation:

Answer:

\( \huge{ \boxed{ \tt{a = 5}}}\)

Step-by-step explanation:

\( \text{3a + 2(2a - 1) = 33}\)

Distribute 2 through the parentheses

↦\( \text{3a + 4a - 2 = 33}\)

Add the terms : 3a and 4a

↦ \( \text{7a - 2 = 33}\)

Move 2 to right hand side and change it's sign

↦ \( \text{7a = 33 + 2}\)

Add the numbers : 33 and 2

↦ \( \text{7a = 35}\)

Divide both sides by 7

↦\( \text{7a\: / \: 7 \: = 35 \: / \: 7}\)

↦ \( \text{a = 5}\)

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

\(

\tt{\huge{ {a = 5}}}

\)

Step-by-step explanation:

\(3a + 2(2a - 1) = 33 \\

Distribute \: 2 \: through \: the \: parentheses \: \\ 3a + 4a - 2 = 33 \\ 7a - 2 = 33

\\ 7a = 33 + 2\\ 7a = 35 \\

a = 5.\\ ♨Rage♨

\)

PLEASE GIVE ME BRAINLIEST!

i hope this helps. thank you and have a good day :)

Answer:

a principle in fluid mechanics that states that when there is an increase in pressure at any point in a confined fluid, there is an equal increase at every other point in the container.

Step-by-step explanation:

pressure applied to a fluid is transmitted equally throughout the fluid in all directions. This is named after the French mathematician and physicist Blaise Pascal, who first formulated it in the mid-17th century.

The proportional relationship is y = 3x.

What is the proportional relationship?

If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.

Here, we have

Given:

x:  2, 6, 8, 10

y:  6, 18, 24, 30

We have to find the proportional relationship between x and y.

So, we can see from inspection and visual observation that there is a proportional relationship between x and y.

6 = 3  2,  18 = 3  6, 24 = 3  8, 30 = 3  10.

Hence, The proportional relationship is y = 3x.

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Step-by-step explanation:

well, the mathematical structure is explicitly described in the text :

x + y = 50

30x + 20y = 1320

the first equation tells us

x = 50 - y

and then using this in the second equation

30(50 - y) + 20y = 1320

1500 - 30y + 20y = 1320

1500 - 10y = 1320

1500 = 1320 + 10y

180 = 10y

y = 18

x = 50 - y = 50 - 18 = 32

so, there were 32 adults and 18 children in the bus.

Answer:

I don’t really know. What grade math is this?

By using the power rule of integration, the solution for F(x) is: F(x) = \(4x^4 + 7x^2 + 7x - 23\)

To find F, we need to integrate F'(x) with respect to x.
So, F(x) = ∫(16x³ + 14x + 7) dx
Using the power rule of integration, we can integrate each term separately.
∫(16x³) dx = \(4x^4\) + C1
∫(14x) dx = 7x² + C2
∫(7) dx = 7x + C3
Adding all of these results, we get:
F(x) = \(4x^4\) + 7x² + 7x + C
Now, we need to use the initial condition F(1) = -5 to solve for the constant C.
F(1) = \(4(1)^4\) + 7(1)² + 7(1) + C = -5
Simplifying this equation, we get:
4 + 7 + 7 + C = -5
C = -23
Therefore, the solution for F(x) is: F(x) = \(4x^4 + 7x^2 + 7x - 23\)

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The probability of Laura missing 3 free throws before making 12 is approximately 0.0037 or 0.37%.
The basketball free throw.

A success would be considered when Laura makes a free throw.

A failure would be when Laura misses a free throw.
The negative binomial distribution is a probability distribution that calculates the probability of obtaining a certain number of failures before a specified number of successes occur.

The specified number of successes is 12, and the number of failures is represented by the variable x.
To calculate the probability of x failures, we need to know the probability of a single failure.

Since Laura is an 82% free throw shooter, the probability of her missing a free throw is 18%.
We can use the formula for negative binomial distribution to determine how many failures are required before 12 successes are achieved.

The formula is:
\(P(X = x) = (r+x-1)C(x) \times p^r \times (1-p)^x\)
Where:
P(X = x) is the probability of having x failures before achieving 12 successes
r is the number of successes required (in this case, 12)
p is the probability of a single success (in this case, 0.82)

\((r+x-1)C(x)\)is the combination of r+x-1 choose x

For example, if we want to find the probability of Laura missing 3 free throws before making 12, we will plug in x = 3, r = 12, p = 0.82 into the formula:

\(P(X = 3) = (12+3-1)C(3) \times 0.82^1^2\times (1-0.82)^3\)
\(P(X = 3) = 14C3 \times 0.082^1^2 \times 0.18^3\)
\(P(X = 3) = 364 \times 0.000018 \times 0.005832\)
P(X = 3) = 0.000037
Overall, the trial in this scenario is each individual attempt at a free throw, the success is making a free throw, and 12 successes are required before the shooting session is considered complete.

The negative binomial distribution is used to calculate the probability of obtaining a certain number of failures before achieving the specified number of successes.

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'x' follows a negative binomial distribution with 'r' being 12 successes.

In this scenario, a trial refers to each individual attempt at shooting a free throw. A success is when Laura successfully makes a free throw. To achieve her goal of making 12 free throws, she needs to have 11 successes (since she will miss on the final attempt). Therefore, r = 11.

In this context, a "trial" refers to each individual attempt Laura makes to shoot a basketball free throw. A "success" is when Laura makes a free throw (hits the basket), while a "failure" (not mentioned in the question) would be when Laura misses a free throw. Since Laura keeps shooting free throws until she makes 12, the number of successes required, denoted as 'r', is 12.

Therefore, 'x' follows a negative binomial distribution with 'r' being 12 successes.

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Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

In this scenario, there are four people in a room. Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

The remaining person is a foreign agent who has chosen a pair randomly. Thus, if any two of the three people with the valid pairs collaborate, they can successfully uncover the secret, as per the properties of the Shamir secret sharing scheme.

The presence of the foreign agent does not affect the security of the scheme unless they collaborate with another person possessing a valid pair.

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To evaluate the triple integral of 2x dV over the given region E, we need to integrate over all three variables, x, y, and z. We start by integrating with respect to z since there is no z dependence in the integrand. The limits of integration for z are from 0 to 0, which gives us zero.

Next, we integrate with respect to y. The limits of integration for y are from 0 to 2. For each value of y, x ranges from 0 to 4-y^2. So, the triple integral becomes:
Triple integral of 2x dV = ∫(from 0 to 2)∫(from 0 to 4-y^2)∫(from 0 to 0) 2x dz dx dy
Integrating with respect to z first gives us zero, so we can simplify the expression:
Triple integral of 2x dV = 0
The triple integral evaluates to zero since there is no z dependence in the integrand and the limits of integration for z are both zero. Therefore, the answer is just "0".
In summary, the triple integral of 2x dV over the given region E is zero.

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Answer:

C) ASA

Step-by-step explanation:

The triangles are congruent by ASA.

Each triangle has two angles congruent to two corresponding angle of the other triangle. Also the common side is congruent to itself and is the side included by the angles. By ASA, the triangles are congruent.

Answer:

m = 9/4 and b = -12

Step-by-step explanation:

the slope is always given by the number in front of x (the number is called a coefficient and x is called a variable).

the y-intercept is the number without an x or a y. that is -12.

so, m = 9/4 and b = -12

The probability of selecting exactly 3 defective bulbs out of 6 bulbs is 0.14.

The probability that exactly 3 out of six light bulbs are defective can be calculated as follows:Solution:Given that,Total number of bulbs = 15Number of defective bulbs = 5Number of non-defective bulbs = 15 - 5 = 10 Total number of ways of selecting 6 bulbs = `n(S)` = `15C6` = 5005 (using the formula nC_r = n!/[r!(n-r)!])Number of ways of selecting exactly 3 defective bulbs and 3 non-defective bulbs = `n(E)` = `(5C3) × (10C3)` = 700 (using the formula nC_r = n!/[r!(n-r)!])

Using the formula of probability of an event, we have:Probability of selecting exactly 3 defective bulbs and 3 non-defective bulbs P(E) = `n(E)` / `n(S)` = 700 / 5005 = 14 / 100 = 0.14 Answer: Therefore, the probability of selecting exactly 3 defective bulbs out of 6 bulbs is 0.14.

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