If C is the line segment from (5,4) to, (0,0), find the value of the line integral:

Answer:

sorry i coldent find the anser

Step-by-step explanation:

ello

+v+

Answer:

The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.

Step-by-step explanation:

a) The expected number of people who would name chocolate in the sample is approximately 6.30. b) The probability of exactly eight people naming chocolate is given by  \(P(X = 8) = (14 C 8) (0.45^8) (1 - 0.45)^{(14 - 8)\)

c) The probability of eight or more people naming chocolate sum the probabilities of exactly eight, nine, ten, eleven, twelve, thirteen, and fourteen people naming chocolate

(a) To find the expected number of people who would name chocolate in the sample, we multiply the percentage of people who prefer chocolate by the sample size. In this case, 45% is equivalent to 0.45, so we calculate the expected number as 0.45 * 14 = 6.30. Rounding to two decimal places, we expect approximately 6.30 people in the sample to name chocolate.

(b) To calculate the probability of exactly eight people naming chocolate, we use the binomial probability formula. The formula is \(P(X = k) = (n C k) * p^k * (1 - p)^{(n - k)\), where n is the sample size, k is the number of successes (people naming chocolate), p is the probability of success (45% or 0.45), and (n C k) represents the number of combinations. Substituting the values, we have \(P(X = 8) = (14 C 8) * (0.45^8) * (1 - 0.45)^{(14 - 8)\). Evaluating this expression gives us the probability of exactly eight people naming chocolate.

(c) To find the probability of eight or more people naming chocolate, we sum the probabilities of exactly eight, nine, ten, eleven, twelve, thirteen, and fourteen people naming chocolate. Using the same binomial probability formula as before, we calculate the probabilities for each number of successes and add them together to obtain the probability of eight or more people naming chocolate.

Note: Without additional information about the distribution or assumptions, we assume that the survey results are representative of the population and that the responses are independent and identically distributed.

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The momentum of a variable is represented by the rate of change. The average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.

The momentum of a variable is represented by the rate of change, which is used to quantitatively express the percentage change in value over a specific period of time.

The area of the circle when the radius of the circle is 2.5 feet is,

Area of circle = π × (2.5 feet)²

                      = 19.635 ft²

The area of the circle when the radius of the circle is 5.5 feet is,

Area of circle = π × (5.5 feet)²

                      = 95.0332 ft²

Now, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is,

Average rate of change = (Change in the area)/(Change in radius)

                                         = (95.0332 ft² - 19.635 ft²) / (5.5 ft - 2.5 ft)

                                         = 25.1327ft² per ft

Hence, the average rate of change in the area as the radius changes from 2.5 to 5.5 feet is 25.1327ft² per ft.

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Answer:i think its 115 degres

Step-by-step explanation:

Answer:

1... 3

2...3

3...parallel

Step-by-step explanation:

The measure of angle NLM is 38°.

Firstly, let's visualize the triangle LMN. We know that LN is extended through point N to point O. This means that we have a line segment that starts at point L, passes through point N, and continues on to point O. This creates an angle at point N which we will call angle MON.

Next, we are given the measure of angle MNO. We can write this as:

m∠MNO = (52 – 13)° = 39°

We can also write the measure of angle LMN as:

m∠LMN = (2x+19)°

To find the value of x, we can use the fact that the sum of the angles in a triangle is always 180°. Therefore, we can write an equation using the measures of the angles in triangle LMN:

m∠LMN + m∠NLM + m∠MNO = 180°

Substituting the values we know, we get:

(2x+19)° + (x-4)° + 39° = 180°

Simplifying this equation, we get:

3x + 54 = 180

Subtracting 54 from both sides, we get:

3x = 126

Dividing both sides by 3, we get:

x = 42

Now that we know the value of x, we can find the measure of angle NLM:

m∠NLM = (x-4)° = (42-4)° = 38°

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Since the expression (a×b)×c=a×(b×c) is the same even with the arrangement alteration, hence it connotes the multiplicative property of commutativity

A binary operation is commutative if changing the order of the operands does not change the result.

For instance A +B = B + A is a commutative property since changing the position does not affect result.

We have the addition property and multiplicative property of commutativity

Since the expression (a×b)×c=a×(b×c) is the same even with the arrangement alteration, hence it connotes the multiplicative property of commutativity

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Given:

$8000 is placed in an amount that pays 17% interest compounded each year.

Required:

A) Find the amount in the account at the end of 1 year.

(B) find the amount in the account at the end of 2 years.

Explanation:

The amount formula when interest is compound yearly is given as:

Where P = principal

r = interest rate

t = time

(a)

Thus the amount after 1 year is $9360.

(b)

Thus the amount after 1 year is $10,951.2

Final Answer:

(a) $9360

(b) $10,951.2

Alex has $15.78 and Rick has $12.15 money.

According to the question,

We have the following information:

Alex had $3.63 more than Rick. Together they had $27.93.

Let's take the money Rick has to be $x.

Now, we have the following expression for the money Alex has:

3.63+x

Now, we have:

x+3.63+x = 27.93

2x+3.63 = 27.93

Subtracting 3.63 from both the sides:

2x = 27.93-3.63

2x = 24.3

Dividing by 2 on both the sides:

x = 24.3/2

x = $12.15

So, Rick has $12.15.

Now, the money Alex has:

3.63+12.15

$15.78

Hence, Alex has $15.78 and Rick has $12.15 money.

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Answer:

Yesssirrrr

Step-by-step explanation:

how does it feel??

Answer:

yes sirr

Step-by-step explanation:

Answer:4

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to first, expand the brackets which gives you,
8x+8=8x-8+2x

Then you collect the like terms,
8x-8=10x-8

You have to try get x on one side, therefore you minus 8x.
-8=2x-8

You then add 8 from both sides,
0=2x

Lastly, you divide both sides by 2,
0.5 or 1/2=x

And that is your answer,
Hoped this helps,
Have a good day,
Cya :)

So on the first day of school, Noah had a total of 11 box tops (10 from his grandma and 1 from that day). From this point on, both boys will be collecting one box top per day.

Noah and Carter are both collecting box tops for their school. They have agreed to bring in one box top per day, starting on the first day of school. However, Carter had a head start because his aunt sent him 15 box tops before school began. This means that on the first day of school, Carter had a total of 16 box tops (15 from his aunt and 1 from that day). On the other hand, Noah's grandma saved 10 box tops for him, and he added those to his collection on the first day of school. So on the first day of school, Noah had a total of 11 box tops (10 from his grandma and 1 from that day). From this point on, both boys will be collecting one box top per day.

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Answer:

Total tickets = 70

Total cost = $550

Adult's ticket = $9

Child's ticket = $5

Difference = 9 - 5 = $4

Assume all 70 are child's tickets

5 x 70 = 350

But the total cost was 550

550 - 350 = $200

The $200 must have come from Adult's tickets, which has a difference of $4.

200 ÷ 4 = 50

So there are 50 adult's tickets.

70 - 50 = 20

And there are 20 child's tickets.

Hope this helps - Itz.Jordan

AnsThe answer to the khan question is 2/5

Step-by-step explanation:

He will break even on the 25th month.

The cost to start the business is $20,000 and the monthly costs are $8,000.

He has been earning $8,800 every month in revenue.

Profit = Selling Price - Cost Price

Therefore,

let

x = number of month

Hence,

selling price = 8800x

cost price = 20000 + 8000(x) = 20,000 + 8000x

Therefore,

profit =  8800x - (20,000 + 8000x)

profit = 8800x - 20000 - 8000x

profit = 8800x - 8000x - 20000

profit = 800x - 20000

Hence,

The month when they will break even is as follows:

8800x = 20,000 + 8000x

20000 = 8800x - 8000x

20000 = 800x

x = 20000 / 800

x = 25

Therefore, he will break even on the 25th month.

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If an event has a probability of 1, the most appropriate interpretation is that we are absolutely certain that the event will occur. Probability is a measure of how likely or unlikely an event is to occur. It ranges from 0 (impossible) to 1 (certain). Therefore, if an event has a probability of 1, it means that the event is certain to happen.

For example, if we flip a fair coin, the probability of getting heads is 0.5 and the probability of getting tails is also 0.5. However, if we say that the sun will rise tomorrow, the probability of this event happening is 1 since we are certain that the sun will rise tomorrow. The other options are not appropriate interpretations for an event with a probability of 1.

The event will never occur is the interpretation for an event with probability 0, while the relative frequency cannot be more than 1 since it is a proportion of the total number of trials. Finally, an event with a probability of 1 is not less than 100%, so it is definitely going to occur.

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Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results.

larger sample sizes generally increase the certainty of the statistical test. This is because larger samples provide more information and reduce the likelihood of chance variations affecting the results. The estimated parameter becomes more stable and accurate with a larger sample size. Additionally, larger sample sizes allow for the detection of smaller effect sizes and greater statistical power. However, it is important to note that sample size alone does not guarantee the validity of the statistical test. Other factors such as sampling methods, data quality, and appropriate statistical analysis must also be considered.
Yes, larger sample sizes do increase the certainty of a statistical test. This is because as the sample size increases, the sample becomes more representative of the population, leading to more accurate results. Additionally, larger sample sizes decrease the margin of error and increase the statistical test's power, allowing for better detection of true differences or relationships in the population. Overall, larger sample sizes lead to more reliable and valid conclusions in statistical tests.

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Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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| x

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|

-------------

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|

|

|

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.

Answer:

no solutions

Step-by-step explanation:

7x-3(x-1)=2(2x+3)

7x-3x+3=4x+6

4x+3=4x+6

3=6

no solutions

Answer:

No solution

Step-by-step explanation:

Answer:

slope m=--3/-2=-3/2 is required slope

Answer:

m = -3, b = -2

Step-by-step explanation:

The equation is written in the form of slope-intercept, where m = slope and b = y-intercept.

The slope is the number before x. For the equation y = -3x - 2, it's -3.

The y-intercept is the constant. For the equation y = -3x - 2, it's -2.

Hence, m = -3, and b = -2.

\(\rule{350}{4}\)

\(\frak{-Dream-}\)

The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

Answer:

It should be m(angle 4) = 120 since they're vertically opposite

Step-by-step explanation:

Answer:

angle 4 is 120degrees because it is a vertical angle with 120

Step-by-step explanation:

angle 5 is a corresponding angle

Answer:

The answer to this question is 6.

Step-by-step explanation:

To find the value of x we must find what minus 2 gets us 16. To find this we pretty much just see what 2 to the power gives us 16, therefore we find that 2^4 is 16. We now must solve for x. We take all of our possible solutions and find what minus 2 gets us 4. We then can see that 6-2 is 4 and that 2^4 is 16. Therefore, we can conclude that x is equal to 6.

If the linear equation with a single variable is 2x - 2 = 16. Then the value of the variable x is 9.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The linear equation with a single variable is given below.

16 = 2x - 2

Then the value of x will be given as

18 = 2x

 x = 9

Then the value of the variable x is 9.

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isomorphism, in modern algebra, a one-to-one correspondence (mapping) between two sets that preserves binary relationships between elements of the sets.

An isomorphism is a homomorphism that admits an inverse. A homomorphism is a structure-preserving map between two algebraic structures i.e. a transformation of one set into another that preserves in the second set the relations between elements of the first.

2. We have T: R2x2 → R2x2  such that T (M) = 7M.

Let M and N be two arbitrary elements of R2x2   and let α be an arbitrary scalar. Then T(M + N) = 7(M+N) = 7M + 7N = T(M) + T(N) . Thus T is closed under addition. Further, T (α M)  = 7(α M) = α (&M) = α T(M). Therefore, T is closed under scalar multiplication also and hence T is a linear transformation.

Im (T) = { T(M) : M Є R2x2 } = { 7M : M Є R2x2 } ; Ker(T) = { M Є R2x2 : T(M) = 0 } = { M Є R2x2 : 7M = 0 } = {0}. Thus Ket (T) is the 2 x 2 zero matrix.

Further, T (M) = 7M so that T(1/7M) = M and hence T-1 (M) = 1/7 M . Thus T is invertible and hence T is an isomorphism.

4. T(M) = det (M)

 Let M and N be two arbitrary elements of R2x2 . Then T (M+ N) = det (M + N) ≠ det (M) + Det (N) . Thus,         T (M+N) ≠ T(M) + T(N). Therefore, T is not closed under addition and, therefore, T is not a linear transformation.

8.T(M)= [ 1  2 ]    M  = AM ( say) where, A =  [ 1  2 ]

            [ 3  4 ]                                            [ 3  4 ]

Then T (M + N) = A(M+N)  = AM + AN =T(M) + T(N) . Thus T is closed under addition. Also, T (α M)  =   A (α M)  = α (A M)  = α T(M)  . Thus T is also closed under scalar multiplication and therefore, T is a linear transformation.

Im (T) = { T(M) : M Є R2x2 } = { AM : M Є R2x2 } ; Ker(T) = { M Є R2x2 : T(M) = 0 } = { M Є R2x2 : AM = 0 } = {0}. As A is not a zero matrix.

Further, T(M) = AM so that T(A-1 M) = A-1 (AM) = (A-1A)M = IM = M . Also A-1 = [ -2      1 ]

                                                                                                                     [3/2  - ½ ]

Thus  T-1 (M) = A-1M and thus T is invertible and therefore, an isomorphism.

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Complete question:- Find out which of the transfomration are linear. For those that are linear, determine whether they are isomorhpisms t(m)

Answer:

x = 4\(\sqrt{6}\) , y = 8\(\sqrt{2}\)

Step-by-step explanation:

Using the sine ratio in the right triangle on the left and the exact value

sin45° = \(\frac{\sqrt{2} }{2}\)

let the altitude of the outer triangle be h ( common to both right triangles )

sin45° = \(\frac{opposite}{hypotenuse}\) = \(\frac{h}{8}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )

2h = 8\(\sqrt{2}\) ( divide both sides by 2 )

h = 4\(\sqrt{2}\)

----------------------------------------------------------------

Using the tangent ratio in the right triangle on the right and the exact value

tan30° = \(\frac{1}{\sqrt{3} }\) , then

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{h}{x}\) = \(\frac{4\sqrt{2} }{x}\) = \(\frac{1}{\sqrt{3} }\) ( cross- multiply )

x = 4\(\sqrt{6}\)

--------------------------------------------------------------------

Using the sine ratio in the right triangle on the right and the exact value

sin30° = \(\frac{1}{2}\) , then

sin30° = \(\frac{h}{y}\) = \(\frac{4\sqrt{2} }{y}\) = \(\frac{1}{2}\) ( cross- multiply )

y =8\(\sqrt{2}\)

The six trigonometric identities are:

Trigonometry is the branch of mathematics that deals with the relationships between the angles and sides of triangles. In trigonometry, there are six basic functions, sine, cosine, tangent, cosecant, secant, and cotangent, each of which is represented by a specific letter. These functions are related to each other through a set of identities known as the trigonometric identities.

The six trigonometric identities listed above, are the most commonly used identities, and provide the relationships between the six trigonometric functions and each other. They are useful for solving trigonometric equations, simplifying trigonometric expressions, and solving problems in geometry, physics, engineering and other sciences.

The Pythagorean identity states that the sum of the squares of the sine and cosine of an angle is equal to 1, which is a fundamental relationship between the two functions. The reciprocal identities state that the reciprocal of the sine and cosine of an angle is equal to the cosecant and secant of that angle respectively.

The quotient identities state that the tangent of an angle is equal to the sine of that angle divided by the cosine of that angle, and the cotangent of an angle is equal to the cosine of that angle divided by the sine of that angle.

It's important to note that these identities are valid for all values of the angle, and are true in any angle measurement system (degrees or radians).

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Answer:

a: 30% of 80 is 24 56 of them are permanent

b: 18 problems

c: 54 members did not vote.

Step-by-step explanation:

hope this helps you

Answer:

#1

120 x 0.70 = 84

Now that we have the number of temporary employees, we subtract that from the total in order to get the number of permanent employees

120 - 84 = 36

There are 36 permanent employees

#2

30 x 0.40 = 12

Now that we have the number of problems Ana already completed, we subtract that from the total to get the number of problems she needs to do

30 - 12 = 18

Ana has 18 math problems left to complete

#3

90 x 0.60 = 54

Now that we have the number of members who voted, we subtract that from the total to get the number of members who did not vote

90 - 54 = 36

36 members of the club did not vote