I need help on number 3 ASAP please

Answer:

The major field of anthroplogy and evolutionary and paleo anthropological perspectives on the origin of humankind

One jelly doughnut is equivalent to approximately 3091.36 joules of energy.

To calculate the energy in joules equivalent to one jelly doughnut, follow these steps:

Identify the given information:

The jelly doughnut has 740 calories (740 kcal).

Recall the conversion factor:

1 calorie is equivalent to 4.184 joules.

Set up the conversion:

Multiply the calorie value by the conversion factor to get the energy in joules.

Energy in joules = 740 calories * 4.184 joules/calorie

Perform the calculation:

Energy in joules = 3091.36 joules

Round the result to an appropriate number of significant figures, if necessary. In this case, the result can be rounded to the nearest joule, yielding 3091 joules.

Therefore, one jelly doughnut is approximately equivalent to 3091 joules of energy. This calculation provides an understanding of the energy content of the doughnut in terms of joules, a unit commonly used in scientific and engineering contexts.

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Answer:

a is Angle L is 67.5 degrees. Angles F and L are opposite each other, yet the same angle degree.

Step-by-step explanation:

The correlation between average 2007 price and number of 2007 is 0.207

To compute the correlation between the average 2007 price and the number of 2007 wins for the 16 National League baseball teams, we can use the formula for Pearson's correlation coefficient.

First, we need to calculate the following sums:

Sum of prices (ΣX) = 19.68 + 17.07 + 34.30 + 17.90 + 14.72 + 16.70 + 26.66 + 20.09 + 18.11 + 25.28 + 26.73 + 17.08 + 20.83 + 24.53 + 29.78 + 20.88 = 387.47

Sum of wins (ΣY) = 90 + 84 + 85 + 72 + 90 + 71 + 73 + 82 + 83 + 88 + 89 + 68 + 89 + 71 + 78 + 73 = 1296

Sum of products of prices and wins (ΣXY) = (19.68 * 90) + (17.07 * 84) + (34.30 * 85) + (17.90 * 72) + (14.72 * 90) + (16.70 * 71) + (26.66 * 73) + (20.09 * 82) + (18.11 * 83) + (25.28 * 88) + (26.73 * 89) + (17.08 * 68) + (20.83 * 89) + (24.53 * 71) + (29.78 * 78) + (20.88 * 73) = 24839.87

Sum of squared prices (ΣX^2) = (19.68)^2 + (17.07)^2 + (34.30)^2 + (17.90)^2 + (14.72)^2 + (16.70)^2 + (26.66)^2 + (20.09)^2 + (18.11)^2 + (25.28)^2 + (26.73)^2 + (17.08)^2 + (20.83)^2 + (24.53)^2 + (29.78)^2 + (20.88)^2 = 19151.7899

Sum of squared wins (ΣY^2) = (90)^2 + (84)^2 + (85)^2 + (72)^2 + (90)^2 + (71)^2 + (73)^2 + (82)^2 + (83)^2 + (88)^2 + (89)^2 + (68)^2 + (89)^2 + (71)^2 + (78)^2 + (73)^2 = 94518

Using these sums, we can calculate the correlation coefficient (r):

r = (n * ΣXY - ΣX * ΣY) / sqrt((n * ΣX^2 - (ΣX)^2) * (n * ΣY^2 - (ΣY)^2))

where n is the number of data points, which in this case is 16.

Substituting the values:

r = (16 * 24839.87 - 387.47 * 1296) / sqrt((16 * 19151.7899 - (387.47)^2) * (16 * 94518 - (1296)^2))

Calculating this expression gives us:

r ≈ 0.207

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Answer:

10

Step-by-step explanation:

Yes, triangle inequality theorem apply to all equilateral triangles.

The triangle inequality theorem explains the relation between a triangle's three sides. This theorem states that for any triangle, the sum of the lengths of the first two sides is always greater than the length of the third side. In other terms, this theorem states that a straight line is always the shortest distance between any two places.

So Triangle inequality theorem is not only valid for all equilateral traingles but it is valid for all traingles.

A Triangle is only formed is if follows Triangle inequality theorem so every equilateral triangle needs to follow this theorem.

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Answer:

y = x² - 13x + 36

Step-by-step explanation:

Given the zeros x = 4 and x = 9, then the corresponding factors are

(x - 4) and (x - 9)

The polynomial is then the product of the factors

y = (x - 4)(x - 9) ← expand using FOIL

y = x² - 13x + 36

Answer:

8 games in a row

Step-by-step explanation:

If they win 8 games in a row, there winning percentage will be 20/33, which is equal to about 60%.

Answer:

$4.20

Step-by-step explanation:

The Writing Emporium sells pencils and pens individually.

Step 1

We have to first find the price of a pencil and a pen

Let:

The price of a pencil = x

The price of a pen = y

Alana buys a pencil and two pens for $1.10.

x + 2y = 1.1 ......Equation 1

x = 1.1 - 2y

Jeffrey buys two pencils and a pen for $1.00.

2x + y = 1 ........ Equation 2

We substitute 1.1 - 2y for x in Equation 2

2(1.1 - 2y) + y = 1

2.2 - 4y + y = 1

-4y + y = 1 - 2.2

-3y = -1.2

y = -1.2/-3

y = $0.4

Solving for x

x = 1.1 - 2y

x = 1.1 - 2(0.4)

x = 1.1 - 0.8

x = $0.3

Hence:

The price of a pencil = x = $0.3

The price of a pen = y = $0.4

Step 2

How much does Edward spend to buy six pencils and six pens from the Writing Emporium?

6x + 6y

6($0.3) + 6($0.4)

$1.8 + $2.4

= $4.20

Therefore, Edward spent $4.20 to buy six pencils and six pens from the Writing Emporium.

Answer:

a₅₀ = 250

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = a₂ - a₁ = 10 - 5 = 5 , then

a₅₀ = 5 + (49 × 5) = 5 + 245 = 250

Answer:

120 degrees

Step-by-step explanation:

If it's a 6 sided star, that means that it will be divided into 3 parts (think about how a normal 5-point star has 10 sides). That means that we divide 360 (total number of degrees in a full rotation) by 3 (number of sections) = 120

Answer:

[9 - 2 = 7 x 4] = {28}

[ ] =expression { } answer

The sets that are equal are A = {1, 2, 3} and B = {2, 1, 3}

The order of elements does not matter when determining the equality of sets. Both sets A and B contain the same elements, namely 1, 2, and 3, even though their order is different. Therefore, we can say that A and B are equal sets.

The other sets mentioned, A = {1, 2} and B = {1}, A = {1, 2, 4} and B = {1, 2, 3}, and A = {1, 2} and B = {1, 2, 3}, are not equal because they have different elements. In the first case, set A has two elements, while set B has only one element.

In the second case, set A contains the element 4, which is not present in set B.

In the third case, set A has two elements, while set B has three elements, including the element 3, which is not present in set A.

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The point slope form finds the equation of a straight line that passes through a given point and is inclined to the x-axis. Each point on a line must satisfy the line's equation. Two-variable linear equations symbolize lines. The point slope formula is utilized when we know the line's slope and a point. The next section explains the point slope form and how to calculate its formula.

The equation of a straight line that is inclined at a particular angle to the x-axis and passes at a given point may be found by using the point slope form. This form is used to get the equation of the line. An equation may be said to be the equation of a line if it can be shown to be fulfilled by every point along the line. This indicates that a line is represented by a linear equation that has two variables. Whereas the Point slope formula is only used in situations in which both the slope of the line and a point on the line are known. In the next part, let's get more in-depth knowledge about the point slope form as well as how to derive the formula that is used to express the point slope form.

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Therefore, the predicted difference in sales between two women's clothing stores differing by $30,000 is $217,500, which is option E.

Given a regression equation is y = 5000 + 7.25x, where y is the predicted sales value (in dollars) and x is advertising budget (in dollars).To find the predicted difference in sales of two stores which differ by $30,000 in advertising budget. Here, the slope of the line is 7.25. This means that for every dollar increase in advertising budget, sales will increase by $7.25. Therefore, a $30,000 difference in advertising budget will lead to a difference in sales of:7.25 × 30,000 = 217,500Therefore, the predicted difference in sales between two women's clothing stores differing by $30,000 is $217,500, which is option E.

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Answer:

-4

Step-by-step explanation:

Here, we want to get the greatest integer less than -3

The integer less than -3 that is the greatest is -4

It is the internet directly after it to the left of the number line

Answer:

5334 People

Step-by-step explanation:

Look up percentage calculator if u ever run into a similar question. ;)

The number of people for the cities people want a fireworks display for the 4th of July will be;

⇒ 5,334

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A west Texas city has a population of 9,525.

And, A city council poll revealed that 56% of the citizens want a fireworks display for the upcoming 4th of July celebration.

Now,

Since, A city council poll revealed that 56% of the citizens want a fireworks display for the upcoming 4th of July celebration.

Hence, The number of people for the cities people want a fireworks display for the 4th of July is,

⇒ 56% of 9,525

⇒ 56/100 × 9525

⇒ 5,334

Thus, The number of people for the cities people want a fireworks display for the 4th of July = 5,334

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The time necessary for the cell cycle for cancerous cells is significantly shorter compared to normal cells.

This implies that cancerous cells reproduce faster and therefore are able to spread more quickly. Doctors should be aware of this accelerated process so that they can provide more effective treatment options to their patients.

Explanation: In Model 1, the length of the arrow represents the time necessary for a cell to complete its cell cycle. For cancerous cells, the cell cycle is significantly shorter compared to normal cells.

This implies that cancerous cells can reproduce more quickly, and therefore spread more quickly. It is important for doctors to be aware of this so that they can make more informed decisions when it comes to treating cancer patients.

They should have an understanding of the accelerated process of cancerous cells, and use this to create better treatment plans for their patients.

This may include more aggressive methods of treatment such as chemotherapy and radiation, in order to try and stop the rapid spread of cancerous cells.

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Answer:

four angles at point B in this second diagram.

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer:

the answer is 50, it's actually very easy

Since He Sells 15 Iteam The He Meet His Goal Of L + S >= 12

As Far As The Other Inequlty

425*9 + 125*6 = $4575 (Goal Acheived)

The Answer Is Yes He Meets Both Of His Goals

The p-value is less than the significance level of 0.01, we reject the null hypothesis.

To determine if the true average potential drop for alloy connections is higher than that for EC connections, we can perform a hypothesis test using the accompanying computer output.

First, we need to state our null and alternative hypotheses:

Null Hypothesis (H0):

The true average potential drop for alloy connections is not higher than that for EC connections.

Alternative Hypothesis (Ha):

The true average potential drop for alloy connections is higher than that for EC connections.

We can use a t-test to compare the means of the two samples.

The t-test assumes that the populations are approximately normally distributed and have equal variances.

From the computer output, we can see that the sample size for the alloy connections is 20 and the sample size for the EC connections is 25.

The sample mean for the alloy connections is 0.425 and the sample mean for the EC connections is 0.392.

The sample standard deviation for the alloy connections is 0.031 and the sample standard deviation for the EC connections is 0.039.

Using a significance level of 0.01 and assuming equal variances, we can calculate the t-statistic and the corresponding p-value. The formula for the t-statistic is:

\(t = (x1 - x2) / (s1^2/n1 + s2^2/n2)^0.5\)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Substituting the values, we get:

\(t = (0.425 - 0.392) / (0.031^2/20 + 0.039^2/25)^0.5\)

t = 3.15

The degrees of freedom for the t-test is calculated as:

\(df = (s1^2/n1 + s2^2/n2)^2 / ((s1^2/n1)^2/(n1 - 1) + (s2^2/n2)^2/(n2 - 1))\)

Substituting the values, we get:

\(df = (0.031^2/20 + 0.039^2/25)^2 / ((0.031^2/20)^2/19 + (0.039^2/25)^2/24)\)

df = 42.65.

Using a t-distribution table with 42 degrees of freedom and a significance level of 0.01, we find the critical value to be 2.718.

The p-value for the test is the probability of obtaining a t-statistic as extreme as 3.15 or more extreme, assuming the null hypothesis is true. From a t-distribution table with 42 degrees of freedom, we find the p-value to be less than 0.01.

Since the p-value is less than the significance level of 0.01, we reject the null hypothesis.

This means that there is sufficient evidence to suggest that the true average potential drop for alloy connections is higher than that for EC connections.

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The types of function that best models the number of books in Jamal's library as a function of time is A. increasing linear.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, it's important to note that this is a linear equation. Also, every month Jamal adds two new books to his library. This implies that it's increasing.

In conclusion, the correct option is A.

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Complete question

Every month Jamal adds two new books to his library. Which of the following types of functions

best models the number of books in Jamal's library as a function of time?

Increasing linear

Decreasing linear

Increasing exponential

Decreasing exponential

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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Here is the answer. I tried to send it vertically but I will send it horizontally again this time. Let me know if it is uncomfortable to see. Feel free to ask me!

Answer: the answer is C.

Step-by-step explanation:

The number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 .

option (C)  is correct.

It is required to find the values of x and y.

An equation between two variables that gives a straight line when plotted on a graph.  A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. The standard form for linear equations in two variables is Ax+ By=C.

Given:

Let x = number of new releases

Let y = number of classics.

The equation to solve the question will be:

20x + 8y = 500

When x= 16 and y = 22, thus will be:

= 20x + 8y

= 20(16) + 8(22)

= 320 + 176

= 496

Therefore, the number of new-release movies on DVD is 16 and the number of classic movies on DVD is 22 option third x= 16, y = 22 is correct.

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Using Properties of Incentre of triangle :

\(\angle\)MJP = \(39^{o}\)

\(\angle\)JKL = \(46^{o}\)

\(\angle\)NKP = \(23^{o}\)

\(\angle\)KLJ = \(56^{o}\).

The intersection of all three of the triangle's interior angle bisectors is where a triangle's incenter is located. It may be thought of as the intersection of the triangle's internal angle bisectors. Due to the junction point of the central axis being the centre of the triangle's inscribed circle, this point will be equally spaced from each of the triangle's sides.

The centre of a triangle's inscribed circle, which is the biggest circle that can fit within the triangle, is known as the incenter. This circle is also known as a triangle's incircle.

The few crucial characteristics of a triangle's incenter are listed below:

\(\angle\)MJP = \(\angle\)PJO    (since JP bisects the angle KJL)

\(\angle\)MJP = \(39^{o}\)

\(\angle\)JKL = \(180^{o}\) - \(\angle\)MJP-\(\angle\)PJO-\(\angle\)NLP-\(\angle\)PLO =  \(180^{o}\) - \(39^{o}\)-\(39^{o}\)-\(28^{o}\)- \(28^{o}\) = \(46^{o}\)

\(\angle\)NKP = \(\frac{1}2}* \angle JKL = \frac{1}{2}* 46^{o} = 23^{o}\)

\(\angle\)KLJ = \(\angle\)KLP + \(\angle\)PLO = \(28^{o}\)+ \(28^{o}\) = \(56^{o}\).

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Answer:

Step-by-step explanation: