Lines ℓ and m are intersected by transversal t. ℓ ∥ m. Lines l and m are horizontal with l above m and intersected by transveral t. Angles 1, 2, 3, and 4 are formed where t intersects l with 1 and 3 above l from left to right and 2 and 4 below it. Angles 5, 6, 7, and 8 are formed where t intersects m with angles 5 and 7 above line m from left to right and 6 and 8 below it. If m∠4 = 105, what is m∠5?

The distribution of characteristics of elements in a(n) representative sample is the same as the distribution of those characteristics among the total population of elements. A representative sample accurately reflects the larger population from which it is drawn, ensuring that the results from studying the sample can be generalized to the overall population.

The distribution of characteristics of elements in a representative sample is the same as the distribution of those characteristics among the total population of elements.

A representative sample is a subset of a population that accurately reflects the characteristics of the entire population. It is selected using a random sampling technique, which means that every member of the population has an equal chance of being included in the sample.

By selecting a representative sample, researchers can make inferences about the entire population with greater confidence, since the sample is likely to be more similar to the population as a whole.

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Answer:

x divided by 2 times 2 simplifies to x.

Step-by-step explanation:

Answer:

The expression "x divided by 2 times 2" can be simplified as follows: x / 2 * 2 = x * (2 / 2) = x * 1 = x

Therefore, the answer is x.

Step-by-step explanation:

Answer:

It would be cheaper to wrap the CD in wrapping paper

Step-by-step explanation:

$2.75 is cheaper than $4.99

So  $2.75 is cheaper than $4.99 by $2.44

Answer:

B

Step-by-step explanation:

4x12=48/2x2=B or 48

Answer:

ydkclfucucucufucucufucucucuvucucucucycucuducuf7ducucuxudycycufucycycydyzyxuchcycyxycjcyxtxyxycycyztzydydyifidud6eydysts5sygeudhdrjagduyebztsbhdizveyxvsuzysbzuyxbsmuxbskzuubskhsidbdndjxxnndsnjdbchxbxbddbbbbbxbxbxxbbddbdbdbbddbdbbdbdbdbdbdydycychchc

this is the answer.

#1

\(\\ \bull\tt\longmapsto A=\left\{Nose,ear,eye,Hand,Tongue\right\}\)

#2

Given that

\(\\ \bull\tt\longmapsto B=\left\{x|x\:is\:an\:integer,53>x>51\right\}\)

Hence

\(\\ \bull\tt\longmapsto B=\left\{52\right\}\)

Answer:

See attachment

Step-by-step explanation:

We need to add the first 4 terms of the series in order to find the sum to the indicated accuracy of 0.00005.

The series ∑n=1[infinity]​(−1)n−1n49​ is an alternating series, which means that the terms alternate in sign and decrease in size.

This type of series converges,and the error   in approximating the sum with the first n terms is less than or equal to the absolute value of the (n+1)th term.

In this case, we are given that the desired accuracy is 0.00005.

The (n+1)th   term of the series is (-1)^n / n⁴⁹, so we need to find the smallest n such that (-1)^n / n⁴⁹ <0.00005.

Using a calculator, we can find that n = 4   satisfies this condition. Therefore, we need to add the first 4 terms of the series in order to find the sum to the indicated accuracy.

The first 4 terms of the series are -

1/1⁴⁹ = 1

-1/2⁴⁹ = -1/1610612736

1/3⁹ = -1/29859862048

-1/4⁴⁹ = 1/209227898880

The sum of these 4 terms is 0.12345, which is accurate to within 0.00005

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Answer:

not

Step-by-step explanation:

Answer:

4/5 and -4/5 are not same because

4/5=

Answer:

$12.50

Step-by-step explanation:

$50/4 = $12.50

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Given:

Principal amount = P (o

Interest = 0.6% = 0.006 (divide by 100 since it's in percentage)

The algebraic expression is:

P + 0.006P = 1.006P

ANSWER:

P + 0.006P = 1.006P

Answer:

The first five terms of the recursive sequence are;

5, 12, 19, 26, 33

Step-by-step explanation:

The given sequence is presented as follows;

aₓ = a₍ₓ ₋ ₁₎ + 7

The first term of the sequence, a₁ = 5

Therefore, we have;

a₂ = a₍₂ ₋ ₁₎ + 7 = a₁ + 7 = 5 + 7 = 12

a₃ = a₍₃ ₋ ₁₎ + 7 = a₂ + 7 = 12 + 7 = 19

a₄ = a₍₄ ₋ ₁₎ + 7 = a₃ + 7 = 19 + 7 = 26

a₅ = a₍₅ ₋ ₁₎ + 7 = a₄ + 7 = 26 + 7 = 33

The first five terms of the recursive sequence are therefore;

5, 12, 19, 26, 33.

As per the two factor study, the value of s is 60.

Two factor study

In math, two factor study defined as an experimental design in which data is collected for all possible combinations of the levels of the two factors of interest.

Given,

Here we have that for a two-factor study with 2 levels of factor a, 2 levels of factor b, and a separate sample of 10 participants in each treatment condition, the two means for level a1 are 4 and 1, and the two means for level a2 are 3 and 2.

And we need to find the value of s between treatments.

As per the given question, we have identified that the values,

Number of participants = 10

And we also know that,  level a1 are 4 and 1, and the two means for level a2 are 3 and 2.

So, based on the two factor method, the value of s calculated as,

Here we have to multiple factors first,

=> 3 x 2 = 6

And then multiply that by n = 10,

=> 6 x 10 = 60

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The total cost of the ordered packages for the school picnic  based on the price of items in the list is $113.

Price list

Cost based on number of each items purchased :

The total cost of purchases:

$(80.00 + $32.00 + $1.00) = $113.00

Therefore  the total cost of the ordered packages is $113.00

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From the inequality graph, the solution to the inequalities is: (4, -2/3)

There are different tyes of inequalities such as:

Greater than

Less than

Greater than or equal to

Less than or equal to

Now, the inequalities are given as:

y < (1/3)x - 2

x < 4

Thus, the solution to the given inequalities will be gotten by plotting a graph of both and the point of intersection will be the soilution which in the attached graph we see it as (4, -2/3)

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To find the point, concepts of differentiation were used. The x and y coordinates of the point on the curve where the tangent line is parallel to chord AB are found to be (4, 4).

The curve \(y^2 = 4x\) and the chord joining the points A(-4,0) and B(0,2) on the curve, we can find slope of  AB by using the formula:
\(Slope = (y2 - y1) / (x2 - x1)Slope = (2 - 0) / (0 - (-4))Slope = 2 / 4Slope = 1/2\)

Now, we need to find the point on the curve where the tangent line is parallel to the chord AB. This means that the slope of the tangent line at that point should be equal to the slope of the chord AB, which is 1/2.

To find the slope of the tangent line, we can differentiate the given curve with respect to x : \(y^2 = 4x2y(dy/dx) = 4dy/dx = 2/y\)
Now, we can equate the slope of the tangent line to the slope of the chord AB:
2/y = 1/2
y = 4

Substituting the value of y back into the given curve equation, we get:
\(4^2 = 4x\)
x = 4

So, the x and y coordinates of the point on the curve where the tangent line is parallel to chord AB are (4, 4). Therefore, the answer is (4, 4).

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The 7 days will he have to work per month to make either choice equal financially.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Adam can rent an apartment in the city and walk to work for $615 per month.

He can rent for $500 per month and take the train to work for $5 per day.

According to given question we have

Total rent =$615 per month.

Rent an apartment in the suburbs = $500 per month

train to work= $5 per day

train to work in a month=$5*30=  $150 per month

So, total Rent an apartment in the suburbs

=$500 per month+$150 per month

=$650 per month

Difference

=$650 per month- $615 per month.

=$ 35 per month

$5day==$ 35  month

1 day= $ 35 /5 = $ 7 per month

To work per month to make either choice equal financially in 7 days.

Therefore, the 7 days will he have to work per month to make either choice equal financially.

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The lightest type of seed is the poppy seed, followed by the sesame seed, and the heaviest is the pumpkin seed.

To determine the order of the seeds according to their weight, we need to compare the weight of one seed for each type. Let's examine the weights of the three types of seeds and compare them:

Sesame seed:

Weight of one sesame seed = 3.64 x 10^(-6) kilograms.

Poppy seed:

Weight of one poppy seed = 3 x 10^(-4) grams.

To compare it with the weight of one sesame seed, we need to convert grams to kilograms by dividing by 1000.

Weight of one poppy seed = 3 x 10^(-4) / 1000 = 3 x 10^(-7) kilograms.

Pumpkin seed:

Weight of 250 pumpkin seeds = 21 grams.

To find the weight of one pumpkin seed, we divide the total weight by the number of seeds.

Weight of one pumpkin seed = 21 grams / 250 = 0.084 grams.

To compare it with the weight of one sesame seed, we need to convert grams to kilograms by dividing by 1000.

Weight of one pumpkin seed = 0.084 / 1000 = 8.4 x 10^(-5) kilograms.

Now, let's compare the weights of one seed for each type:

Sesame seed: 3.64 x 10^(-6) kilograms

Poppy seed: 3 x 10^(-7) kilograms

Pumpkin seed: 8.4 x 10^(-5) kilograms

Based on the comparisons, we can conclude that the order of the seeds from lightest to heaviest is:

Poppy seed

Sesame seed

Pumpkin seed

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Answer:

Refer to the attachment please! :)

We need to assume the sample was randomly selected because we are making inferences about means. Means refers to the average of a sample of data points, which can be used to estimate the value of an unknown population parameter.

If the sample was not randomly selected, then our estimates of the population parameter could be biased or inaccurate. This is because the sample may not be representative of the population as a whole, which could lead to incorrect estimates of the population parameter.

In order to make valid inferences about a population, it is essential to use random sampling. This is because random sampling ensures that the sample is representative of the population as a whole, meaning that the estimates of the population parameter that you obtain from the sample will be unbiased and accurate. If the sample is not randomly selected, then there is a risk that the sample is not representative of the population, which could lead to incorrect estimates of the population parameter.

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Answer:

\(b)8\)

is the answer it's was helpful to you

Answer:

B ) 8

Is the answer have a great day

A linear regression function, f(t), that estimates the day's coffee sales with a high temperature is f(t) = -58t + 6,182.

The correlation coefficient (r) is -0.94.

Yes, r indicates a strong linear relationship between the variables because r is close to -1.

In order to determine a linear regression function and correlation coefficient for the line of best fit that models the data points contained in the table, we would have to use an online graphing tool (scatter plot).

In this scenario, the high temperature would be plotted on the x-axis of the scatter plot while the y-values would be plotted on the y-axis of the scatter plot.

From the scatter plot (see attachment) which models the relationship between the x-values and y-values, the linear regression function and correlation coefficient are as follows:

f(t) = -58t + 6,182

Correlation coefficient, r = -0.944130422 ≈ -0.94.

In this context, we can logically deduce that there is a strong linear relationship between the data because the correlation coefficient (r) is closer to -1;

-0.7＜|r| ≤ -1.0   (strong correlation)

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Missing information:

State the linear regression function, f(t), that estimates the day's coffee sales with a high temperature of t.  Round all values to the nearest integer. State the correlation coefficient, r, of the data to the nearest hundredth.  Does r indicate a strong linear relationship between the variables?  Explain your reasoning.

Answer:

1 Answer->3

Step-by-step explanation:

To factor this out find the factors of 9 which add up to 6.

3 and 3 work therefore factor it out to

(x+3)(x+3)=0

Using Zero product property x is equal to -3

And there is only one answer which is 3

Answer:

Only one because if it's every 58 miles the next one would be at 116 miles which is higher than 75

Answer:

1

Step-by-step explanation:

its simple because if its every 58 miles then you would want to subtract since the numbers are so close together so it would be 75-58=17 and there is not enough to subtract so i would be 1.17 if you divided but since you cant put a .17th of a sign up then it would just be 1

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Ignore this I deleted my answer cause I missread the question...

Answer:

While it was true that the cotton gin reduced the labor of removing seeds, it did not reduce the need for slaves to grow and pick the cotton. In fact, the opposite occurred. Cotton growing became so profitable for the planters that it greatly increased their demand for both land and slave labor.

Step-by-step explanation:

Pretty sure this isnt math tho

Answer: B. Additive Inverse

Solve for dy/dx:   dy/dx = (-2x) / (2y) = -x / y which gives the slope of tangent line using implicit differentiation

To find the slope of a tangent line using implicit differentiation, follow these steps:

1. Start with the given equation that represents the relationship between x and y in the form of an equation involving both variables, for example: F(x, y) = 0.

2. Differentiate both sides of the equation with respect to x using the chain rule whenever necessary. Treat y as a function of x and apply the derivative rules accordingly.

3. After differentiating, have a resulting equation involving both x, y, and their derivatives (dy/dx). Rearrange the equation if necessary to isolate dy/dx on one side.

4. Solve for dy/dx to find the derivative of y with respect to x. This will give the slope of the tangent line at any given point on the curve defined by the implicit equation.

Note: The resulting expression for dy/dx may involve both x and y variables. To find the slope of the tangent line at a specific point, substitute the coordinates of that point into the expression for dy/dx.

Here's an example to illustrate the process:

Given the implicit equation: \(x^2 + y^2 = 25\)

1. Start with the equation: \(x^2 + y^2 = 25.\)

2. Differentiate both sides with respect to x:

  2x + 2y * (dy/dx) = 0

3. Rearrange the equation to isolate dy/dx:

  2y * (dy/dx) = -2x

4. Solve for dy/dx:

  dy/dx = (-2x) / (2y)

         = -x / y

Now, have the expression for the slope of the tangent line in terms of x and y. To find the slope at a specific point, substitute the coordinates of that point into the expression.

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