Suppose point D is in the interior of ∠ABC, m∠ABC=120 degrees, m∠ABD=3x+40, and m∠DBC=2x−10. What is m∠DBC

This explanation is supported by the provided information and does not involve any cartographic errors or legislative changes affecting the electoral system.

In the 2008 election, Florida had 27 electoral votes. The data on this map can be explained by changes in the state's population and federal legislation affecting the electoral system. Population shifts, as revealed by census data, can lead to states gaining or losing representatives and electoral votes. In this case, if Florida experienced a significant population increase, it could result in additional representatives being allocated, thus increasing the number of electoral votes. On the other hand, changes in federal legislation can also impact the organization of the electoral system. However, there is no specific information provided about such legislative changes affecting Florida's electoral votes in this question. Therefore, the most plausible explanation for the data shown on the map is the population increase in Florida, leading to the state gaining representatives and electoral votes. In conclusion, the most likely reason behind the change in Florida's electoral votes is the increase in population, which resulted in additional representatives and electoral votes being allocated to the state.

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Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.

Euler's method is a numerical approximation technique used to estimate the solution to a differential equation. It is not exact and introduces some error due to its approximation nature.

The accuracy of Euler's method depends on the order of the polynomial that represents the solution.

In general, Euler's method is more accurate for lower order polynomials. This means that if the solution to the differential equation is a lower order polynomial, the approximation obtained using Euler's method will be more accurate.

To understand this, let's consider an example. Suppose we have a first-order polynomial as the solution to the differential equation.

In this case, Euler's method will provide a reasonably accurate approximation. However, as the order of the polynomial increases, the accuracy of Euler's method decreases.

It's important to note that higher order polynomials have more complex behavior, and Euler's method cannot capture all the intricacies of the solution.

In such cases, other numerical approximation methods, like the Runge-Kutta method, may be more suitable.

In summary, Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.

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The answer is (8,8).

Using the Laplace transform property L{u(t - a)} = e^(-as)/s, we get:

F(s) = 6e^(-2s)/s + 3e^(-5s)/s - 4e^(-6s)/s

And that's the Laplace transform of the given function.

To find the Laplace transform of f(t) = 6u(t-2) + 3u(t-5) - 4u(t-6), we first need to define the unit step function u(t). The unit step function u(t) is defined as follows:

u(t) = 0, for t < 0
u(t) = 1, for t >= 0

Using the definition of the unit step function, we can write f(t) as:

f(t) = 6u(t-2) + 3u(t-5) - 4u(t-6)
    = 6u(t-2) - 3u(t-2) + 3u(t-5) - 3u(t-6) - u(t-6)

Next, we can apply the Laplace transform to each term using the following formula:

L{u(t-a)} = e^{-as}/s

Using this formula, we get:

L{f(t)} = 6e^{-2s}/s - 3e^{-2s}/s + 3e^{-5s}/s - 3e^{-6s}/s - e^{-6s}/s

Simplifying the expression, we get:

F(s) = (6 - 3)e^{-2s}/s + 3e^{-5s}/s - (3 + 1)e^{-6s}/s

F(s) = 3e^{-2s}/s + 3e^{-5s}/s - 4e^{-6s}/s

Therefore, the Laplace transform of f(t) is F(s) = 3e^{-2s}/s + 3e^{-5s}/s - 4e^{-6s}/s.

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The correct options regarding given function  are (b), (c) and (f).

What is a function?

An association between each element of a non-empty set A and at least one element of a different non-empty set B is called a function.

The set of values that we are permitted to enter into our function is known as the domain of a function.

A function's range is the collection of values it gives as outputs.

The options given are:

a)The function f(x) = 9,000(\(1.05^{x}\)) represents the situation.

b)The function f(x) = 9,000(\(0.95^{x}\)) represents the situation.

c)After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.

d)After 4 years, the farmer can estimate that there will be about 1,800 bees remaining.

e)The domain values, in the context of the situation, are limited to whole numbers.

f)The range values, in the context of the situation, are limited to whole numbers.

Now given,

Number of bees initially = 9000

Rate of decay = 5%

f(x) = Number of bee population after x years

So, f(x) = 9000(\(0.95^{x}\))

After 2 years, number of bees is

  f(2) = 9000(0.95²) = 8122.5 ≈ 8120

After 4 years, number of bees is

 f(4) = 9000(0.95⁴) = 7330.56≈7330

The domain of the function is number of years(x) which can be whole as well as decimal numbers.

The range of the function is number of bees after x years, which should be a positive integer number. So whole numbers are the domain.

Therefore the correct options regarding given function  are (b), (c) and (f).

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The probability of getting at least 2 1's in 4 spins is:

1 - 0.7383 = 0.2617 or approximately 26.17%.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

To calculate the probability that at least 2 of the spins result in a 1, we can use the complement rule and subtract the probability that fewer than 2 of the spins result in a 1 from 1.

The probability of getting exactly 0 1's in 4 spins is:

(3/4)⁴ = 0.3164

The probability of getting exactly 1 1 in 4 spins is:

4 * (1/4) * (3/4)³ = 0.4219

So the probability of getting 0 or 1 1's in 4 spins is:

0.3164 + 0.4219 = 0.7383

Therefore, the probability of getting at least 2 1's in 4 spins is:

1 - 0.7383 = 0.2617 or approximately 26.17%.

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Answer:

do you solve for y or x or anything on these if so, i can do them. i just need them in chat

Step-by-step explanation:

Answer:

Length = 7   Width = 2

Step-by-step explanation:

L = Length

W = Width

L=9w-11

2L+2W=18

2(9W-11) + 2W = 18

18W - 22 +2W = 18

20W -22 = 18

20W = 40

W = 2

L = 9(2)-11

L=18-11

L=7

The length and width of the rectangle is equals to 7inches and 2inches respectively.

" Rectangle is defined as the quadrilateral whose opposite sides are congruent and parallel to each other , one of the interior angle is of measure 90°."

Formula used

Perimeter of the rectangle = 2 (length + width)

According to the question,

Given,

Perimeter of the rectangle = 18inches

'x' represents the width of the rectangle

As per the condition given,

Length of the rectangle = \(9x -11\)

Substitute the value in the formula we get,

\(2(9x -11 +x)=18\)

⇒\((10x-11)=\frac{18}{2}\)

⇒\(10x= 9+11\)

⇒\(x= 2inches\)

Length of the rectangle = \(9(2)-11\)

                                        = \(18-11\)

                                        = \(7inches\)

Hence,  length and width of the rectangle is equals to 7inches and 2inches respectively.

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Answer:

The store is selling the phone by 185% of its value...

Step-by-step explanation:

You just gotta divide 281.20 (the value of the phone at the store), and divide it up by 152 (its original value). And multiply the result by 100 to get the percentage.

\((\frac{281.00}{152})(100) = (1.85)(100) = 185%\)%

The requried fraction of patients who waited for more than 7 minutes is 19/35.

A fraction is a mathematical concept used to express a portion of a whole or a number written as the ratio of two integers. The top number in a fraction is known as the numerator, while the bottom number is known as the denominator.

Here,
From the frequency polygon, we can see that the total number of patients is 35. Out of these, the number of patients who waited for more than 7 minutes is the sum of the frequencies for waiting times between 8 and 10 minutes, which is 8.

Therefore, the fraction of patients who waited for more than 7 minutes is 19/35.

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Answer:

21/10

Step-by-step explanation:

you"ll have to take my word for it

Answer:

13

Step-by-step explanation:

Put the 2 in place of the f then the 3 in place of g. You would get a problem that looks like 2(-1) + 3(5). Multiply 2(-1)= -2 and multiply 3(5)=15. Your equation now looks like -2 + 15. Just add the two to get 13.

-2 + 15= 13

Since the pmf is not valid, we cannot find the expected value of X using the formula E[X] = Σn f(X = n).

a. To show that the given pmf is a valid pmf, we need to show that it satisfies two conditions:

f(X = n) >= 0 for all n

Σf(X = n) = 1 over all possible values of X

For the first condition, we have:

f(X = n) = n(n+1)(n+2)

Since n, n+1, and n+2 are all positive for any positive integer n, f(X = n) is also positive for all n.

For the second condition, we have:

Σf(X = n) = Σn(n+1)(n+2)

= Σ[n^3 + 3n^2 + 2n]

= Σn^3 + 3Σn^2 + 2Σn

= (1^3 + 2^3 + ... + ∞^3) + 3(1^2 + 2^2 + ... + ∞^2) + 2(1 + 2 + ... + ∞)

= (ζ(3)) + 3(ζ(2)) + 2(ζ(1))

where ζ(k) is the Riemann zeta function evaluated at k.

Since ζ(1) = ∞, this sum diverges, which means that the pmf is not a valid probability mass function.

b. Since the pmf is not valid, we cannot find the expected value of X using the formula E[X] = Σn f(X = n).

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Answer:

2.4*10^-3

Step-by-step explanation:

Answer:

it is 2x10^-3

Step-by-step explanation:

To prove that AD/DB = AC/BC, we can use a two-column proof. Given that CD bisects ∠ACB and AE is parallel to CD, we need to show the equality of the ratios AD/DB and AC/BC.

Proof:

Statement                                             | Reason

------------------------------------------------------|--------------------------------------------------

1. CD bisects ∠ACB                            | Given

2. AE || CD                                        | Given

3. ∠CAD ≅ ∠CBD                               | Angle bisector definition

4. ∠CDA ≅ ∠CDB                               | Alternate interior angles theorem

5. ΔCAD ≅ ΔCBD                               | Angle-angle-side congruence

6. AD/DB = AC/BC                              | Corresponding parts of congruent triangles are equal

In the given figure, we are given that CD bisects ∠ACB and AE is parallel to CD.

By the angle bisector definition, ∠CAD is congruent to ∠CBD. Furthermore, by the alternate interior angles theorem, ∠CDA is congruent to ∠CDB.

Using the angle-angle-side congruence criterion, we can conclude that ΔCAD is congruent to ΔCBD. Therefore, the corresponding sides of these congruent triangles are in proportion, which implies that AD/DB is equal to AC/BC.

Hence, we have proved that AD/DB = AC/BC using the given information and the congruence of triangles.

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Answer:

Can you help me? It's worth one hundred points. https://brainly.com/question/21042823

Step-by-step explanation:

2.38095238095

Answer:

Therefore, the cost of 2 1/2 metres of cloth at 47 5/4 rupee per metre is 955/8 rupee.

Step-by-step explanation:

We can solve this problem using multiplication and addition as follows:

The cost of 1 metre of cloth is 47 5/4 rupee.

So, the cost of 2 1/2 metres of cloth is:

2 1/2 * 47 5/4

To multiply mixed numbers, we first convert them to improper fractions.

2 1/2 = 5/2

47 5/4 = 191/4

So, 2 1/2 * 47 5/4 = 5/2 * 191/4

To multiply fractions, we multiply the numerators together and the denominators together.

5/2 * 191/4 = (5 * 191)/(2 * 4) = 955/8

Therefore, the cost of 2 1/2 metres of cloth at 47 5/4 rupee per metre is 955/8 rupee.

After rationalization, (√3-√6)/(√3-√6) the expression becomes (4+√2)3.

The expression given for rationalizing is (√3-√6)/(√3-√6).

Rationalization means that we have to remove the root from the term in the denominator of the expression.

So, we will multiply and divide the denominator term in the expressions with the changes middle operator. This is how we do it,

= (√3-√6)/(√3-√6) x (√3-√6)/(√3+√6)

= (√3-√6)²/(√3-√6)(√3+√6)

= (√3-√6)²/(3+6)

= (3+9+2√18)/9

= (12+√18)/(9)

= (12+3√2)/9

= (4+√2)3

So, after we rationalize, the expression is  (4+√2)3.

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Answer:

There is no values of x that make the equation true.

Step-by-step explanation:

I might be wrong but I found no solutions for this.

Answer:

x = 11,18

Step-by-step explanation:

\(3 = 4 - 5 \sqrt[3]{ {x}^{8} } \)

\(5 \sqrt[3]{ {x}^{8} } = 1\)

\( {x}^{ \frac{8}{3} } = \frac{1}{5} \)

\(x = { \frac{1}{5} }^{ \frac{3}{8} } \)

\(x = 11.18\)

Answer:  hope this helps, love. have a good day

Step-by-step explanation:

Answer:

0 over 12

Step-by-step explanation:

3/4 is equal to 9/12

so your basically taking 9/12 from 9/12

Answer:

4/6 chance

One is taken at random, we do not know the colour so we just take away 1 from both colours, this leaves us with 4/6 chance.

Answer:

Step-by-step explanation:

Option 1

130 bouquets of 4 red roses and 3 white roses each. Profit is:

Option 2

110 bouquets of 3 red roses and 5 white roses each. Profit is:

As we see option 1 is bringing target profit so should be her choice

Answer:

30 bouquets of 4 red roses and 3 white roses each.

Step-by-step explanation:

Answer:

130 and 211

Step-by-step explanation:

15+17= 32

17+32=49

32+49=81

49+81=130

81+130=211

Answer:

130 and 211

Step-by-step explanation:

15,17,32,49,81 _ _

15+2=17+15=32+17=49+32=81

that mean 81+ 49=130

and 81+130= 211

Hence, the answer is 130 and 211.

The product of matrices A and B, denoted as C = AB, is determined by performing matrix multiplication using the given matrices. In this case, A is a 2x1 matrix and B is a 1x3 matrix. The resulting matrix C will have dimensions 2x3.

To find the product of matrices A and B, we perform matrix multiplication by multiplying corresponding elements and summing the results.

The dimensions of the matrices must be compatible for multiplication, meaning the number of columns in the first matrix must match the number of rows in the second matrix.

Given matrices A and B:

A = [9 1]

B = [2 6 7]

To calculate C = AB, we multiply each element of A with the corresponding element in B, and then sum the results. The resulting matrix C will have dimensions 2x3.

C = [92 + 13 96 + 16 97 + 15]

Calculating each element of C, we have:

C = [18 + 3 54 + 6 63 + 5]

[21 60 68]

Simplifying, we get:

C = [21 60 68]

Therefore, the product of matrices A and B, denoted as C = AB, is the matrix:

C = [21 60 68]

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For the integration of function ∫(1 to ∞) f(t)dt = 20n/√(4n² + 21) - 4, the value is obtained as Option A: 6.

What is Integration?

The summing of discrete data is indicated by the integration. To determine the functions that will characterise the area, displacement, and volume that result from a combination of small data that cannot be measured separately, integrals are calculated.

To find ∫(1 to ∞) f(t)dt, we can use the limit definition of the definite integral:

∫(1 to ∞) f(t)dt = lim(n→∞) ∫(1 to n) f(t)dt

Using the given formula for the indefinite integral, we can evaluate the definite integral -

∫(1 to n) f(t)dt = 20n/√(4n² + 21) - 4 - [20/√25]

= 20n/√(4n² + 21) - 4/5

Taking the limit as n approaches infinity -

lim(n→∞) ∫(1 to n) f(t)dt = lim(n→∞) [20n/√(4n² + 21) - 4/5]

Since the denominator of the fraction inside the limit approaches infinity much faster than the numerator, we can use the limit of the numerator only -

lim(n→∞) [20n/√(4n² + 21)] = lim(n→∞) [20n/(2n√(1 + 21/4n²))]

= lim(n→∞) [10/√(1 + 21/4n²)]

= 10/√1 = 10

Therefore, ∫(1 to ∞) f(t)dt is equal to 10, so the answer is (A) 6.

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Answer:

y - 5 = -1/6 (x - 4)

Step-by-step explanation:

y = 6x - 1          y = -1/6x + b

y - 5 = -1/6 (x - 4)

Answer:

2

Step-by-step explanation:

Answer:

Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36 Take the numbers to their prime factorization. Write the final answer in exponential form.

1.  28   2.  36

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

To obtain a term in the sequence add the previous 2 terms, that is

\(a_{n}\) = \(a_{n-1}\) + \(a_{n-2}\) ← in general terms

(a)

Given 1  4  5  9 14

Then the next 2 terms are 9 + 14 = 23 and 23 + 14 = 37

(b)

Given a₄ = 30 and a₅ = 49 , then

a₃ = 49 - 30 = 19

a₂ = 30 - 19 = 11

a₁ = 19 - 11 = 8

Sequence is 8  11  19  30  49 ....

(c)

Given a₂ = x and a₃ = y , then

a₁ = y - x

a₄ = a₃ + a₂ = y + x

a₅ = a₄ + a₃ = y + x + y = 2y + x