Samantha is hiking through a national park. The graph shows the relationship between the distance she covers (in miles) and the time she spends hiking (in hours).



When Samantha has hiked for 1 1/2 hours, she has covered _
miles.

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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By taking the average number of eggs for both barns, we will see that the correct option is A.

For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:

\(M = \frac{x_1 + x_2 + ... + x_n}{N}\)

For barn 1, the set is {2, 5, 5, 6}

So the mean is:

M1 = (2 + 5 + 5 + 6)/4 = 4.5

For the barn 2, the set is {3, 6, 8, 9}

So the mean is:

M2 = (3 + 6 + 8 + 9)/4 = 6.5

Now, taking the quantity 100%(M2 - M1)/M1 we get:

100%*(6.5 - 4.5)/4.5 = 44%

So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.

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Answer:

Always do parenthesis [()] first. then, do the multiplication and/ or division, then do the addition and/ or subtraction.

Step-by-step explanation:

Answer:

(3+2)+(4+2)

Step-by-step explanation:

234

Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Answer:

72 inches

Step-by-step explanation:

there are 12 inches in 1 foot     12*6=72

Answer:

45%

Step-by-step explanation:

\(\frac{9}{9+11} \times 100=45\%\)

Answer:

The answer is X=11 and X=-11

Step-by-step explanation:

\( {x}^{2} = 121 \\ \sqrt{121} = 11 \\ therefore \: value \: of \: x \: is \: 11\)

Answer:

  A. 0

  B. -66

  C. 4

  D. 998

  E. -12

Step-by-step explanation:

A. By definition, the sum of anything and its additive inverse is zero.

__

B. If you have trouble with sums, your calculator can help.

  -22 + (-44) = -22 -44 = -66

__

C. -36/x = -9 can be solved by multiplying by x and dividing by -9:

  -36 = -9x

  -36/-9 = x = 4

Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.

__

D. The absolute value function changes the sign of negative numbers to positive:

  |-998| = 998

__

E. If you have trouble with sums, your calculator can help.

  (−2)−[(−3)−(−7)−(−6)]

  = -2 -(-3 +7 +6) = -2 -10 = -12

Answer:

(-4, -3)

Step-by-step explanation:

When a point is reflected in the x-axis, the x-coordinate does not change, and the y-coordinate becomes negative:

Therefore, if point P(3, 4) is reflected in the x-axis, then:

When a point is rotated 90° clockwise about the origin, it produces a point that has the coordinates (y, -x):

Therefore, if point P'(3, -4) is rotated 90° clockwise about the origin, then:

Concept: "Logos" has had a significant impact on Western thought. Importance: its recognition of the interplay between rational thought and empirical observation Acknowledgement: role of language and discourse in shaping our understanding of the world.

Topic: The concept of "Logos" in Greek philosophy and its significance in modern scientific fields.

The concept of "Logos" is central to Greek philosophy and has been interpreted in various ways throughout history. In its most basic sense, "Logos" refers to rational thought, speech, and language. It is often associated with the divine or the cosmic principle that governs the universe, as well as human reasoning and discourse.

The significance of "Logos" can be seen in its influence on modern scientific fields, including biology, psychology, and technology, among others. The term "biology," for example, comes from the Greek words "bios" (life) and "logos" (word or reason), reflecting the idea that the study of life requires both empirical observation and rational analysis.

Similarly, the field of psychology, which deals with the workings of the human mind and behavior, derives its name from the Greek word "psyche," meaning "soul," and "logos," meaning "reason." This reflects the idea that the study of the mind and behavior requires both empirical research and theoretical analysis.

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Translation: The Greek word "logos" is typically interpreted as the pinnacle of Western rationalist civilization, having been established by the first schools of classical philosophy. In reality, he is responsible for the names of many scientific fields, including biology, philology, psychology, technology, and others. Since it requires both mind and action, internal and external, the mental notion and pronouncing the word, the concept of "logos" does not have such an abstract meaning. Topic:____________________________________________________ Principal Concept:

Answer:

1/4 left not sure what you are asking for b

Step-by-step explanation:

The whoe way home would be 4/4. So you subtract 3/4 from 4/4 and that tells you what she has left to walk.

Answer:

$22.50

Step-by-step explanation:

First, find the amount one pound of rice cost, by dividing 3 with 2:

3/2 = 1.5

1 lb of rice = $1.50

Next, multiply  the amount each pound costs with the amount you are trying to find:

15 x $1.50 = 22.50

$22.50 is your answer.

~

Hence, 15 lbs of rice will be costing $22.5.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

79 cm

Step-by-step explanation:

area = length x width

7505 = 95 x width

7505/95 = width

Answer:

The zeros are x = -2, x = 0, x = 4.

Step-by-step explanation:

The zeros describe where the function crosses the x-axis, or where the y-value is zero. In this case, the zeros are x = -2, x = 0, x = 4.

Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.

Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.

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Answer:

See below (I hope this helps!)

Step-by-step explanation:

When dividing exponential terms of the same base, we can simply subtract the exponents, therefore:

\(\frac{x^{6} }{x^{8} } = x^{(6-8)} = x^{-2}\)

Answer:

C) 56

Step-by-step explanation:

. What is the length of BC¯¯?

2. What is the length of AC¯¯?

3. What is the length of AD

The function f(x) will be sometimes positive and sometimes negative on the interval

Option (3) is correct.

An arrangement known as a function connects inputs to essentially one output.

In other words, a function is a relationship between variables, and the nature of that relationship—for example, y = sinx and y = x +6—defines the function.

Given function:

f(x) = (x - 5) (2x - 7) (7x - 3)

The term (x - 5) will be negative if x < 5.

The term (2x - 7) will be negative if x<3.5

So, If x = 4, (x - 5) will be negative but (2x - 7) will be positive, resulting in a negative overall value.

Therefore, if x = 3, then (x - 5) will be negative, as well as (2x - 7), making the whole value negative.

Hence, the function f is sometimes positive and sometimes negative on the interval.

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The notation Z represents the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1.

The notation Z is used in mathematics to represent the set of integers, which includes all the positive and negative whole numbers, as well as zero. The symbol Z comes from the German word "Zahl," which means "number."

The set of integers can be written using set-builder notation as follows:

Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}

The three dots represent an ellipsis, indicating that the pattern of numbers continues infinitely in both directions.

In statistics, the Z-score (or standard score) is a measure of how many standard deviations an observation or data point is away from the mean of a data set. The Z-score can be positive or negative, indicating whether the observation is above or below the mean, respectively.

The expression Zα denotes the z-score that has an area of α to its left in the standard normal distribution. Similarly, the expression Za and za- represent the z-scores that have an area of a to their left and between a and -a to their right, respectively. These notations are commonly used in statistical hypothesis testing and confidence interval calculations.

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The explanation of the steps that Marlena used to solve the given equation is as follows;

step1: 3x+5=-10 ( When X crosses the equal to sign it becomes a positive X.)

step 2: 3x= -15(When 5 crosses the equal to sign it becomes a negative 5)

step 3 : X = -5(when -15 is divided by 3)

The equation that was given = 2x+5 = -10-x

Bring the like terms together;

2x+X = -10-5

Note that when X crosses the equal to sign it becomes a positive X.

3x = -15

Divide through using 3 as a common factor;

X = -15/3 = -5

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Two lines are parallel if they hay the same slope.

The slope, m, of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

From the graph, line m passes through the points (0, 1) and (3,3), then its slope is:

Equation of a line in slope-intercept form

where m is the slope and (x1, y2) is a point on the line.

The new line has to pass through point P(1, -2). Substituting with this point and m = 2/3 into the general formula:

The profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

To find the profit of each person, we can use the concept of ratios.

First, let's find the total investment made by both Aslam and Akram:
Total investment = Aslam's investment + Akram's investment
Total investment = 27000 + 30000 = 57000

Next, let's calculate the ratio of Aslam's investment to the total investment:
Aslam's ratio = Aslam's investment / Total investment
Aslam's ratio = 27000 / 57000 = 0.4737

Similarly, let's calculate the ratio of Akram's investment to the total investment:
Akram's ratio = Akram's investment / Total investment
Akram's ratio = 30000 / 57000 = 0.5263

Now, we can find the profit of each person using their respective ratios:
Profit of Aslam = Aslam's ratio * Total profit
Profit of Aslam = 0.4737 * 66500 = 31474.5

Profit of Akram = Akram's ratio * Total profit
Profit of Akram = 0.5263 * 66500 = 35025.5

Therefore, the profit of Aslam is Rs. 31,474.50 and the profit of Akram is Rs. 35,025.50.

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To arrange the districts in a way that is most advantageous to Gray, we want to create districts where Gray has a majority of the votes. Since there are 90 census tracts, we can divide them into 10 districts with 9 seats each.

To maximize Gray's chances of winning, we can allocate the census tracts in the following way:

District 1: Assign 9 gray-voting census tracts.

District 2: Assign 9 gray-voting census tracts.

District 3: Assign 9 gray-voting census tracts.

District 4: Assign 9 gray-voting census tracts.

District 5: Assign 9 gray-voting census tracts.

District 6: Assign 9 gray-voting census tracts.

District 7: Assign 5 gray-voting census tracts and 4 white-voting census tracts.

District 8: Assign 5 gray-voting census tracts and 4 white-voting census tracts.

District 9: Assign 5 gray-voting census tracts and 4 white-voting census tracts.

District 10: Assign 4 gray-voting census tracts and 5 white-voting census tracts.

By allocating the census tracts in this manner, Gray will have a majority in the first six districts, ensuring a higher likelihood of winning those districts.

Districts 7, 8, and 9 have a slight advantage towards Gray with a 5-4 split, and District 10 has a slight advantage towards White with a 5-4 split.

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SOLUTION

From the what is given

We have the graph as shown below

We are told that the MAX is

Substituting these required points into the equation, our maximum becomes

We can see that the maximum is 25 at for units of 5, that is x = 5

But we are told in (B) that

Hence the surplus unit is

Hence the answer is 2

Answer:

C. 5:12

Explanation:

The probability of event B, P(B), is 0.1667.

To find the probability of event B, we can use the formula for the probability of the intersection of two independent events:

P(A and B) = P(A) * P(B)

We are given that P(A and B) = 0.10 and P(A) = 0.6.

Let's substitute these values into the formula:

0.10 = 0.6 * P(B)

To solve for P(B), we divide both sides of the equation by 0.6:

0.10 / 0.6 = P(B)

Simplifying the division:

P(B) ≈ 0.1667

Therefore, the probability of event B, P(B), is approximately 0.1667.

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So the total surface area of the composite figure is 138 square inches.

To find the surface area of the composite figure, we need to add the areas of all the faces of the figure.

The square has an area of 6 * 6 = 36 square inches.

The green rectangular prism has a base with an area of 6 * 3 = 18 square inches. It also has four lateral faces, each with an area of 3 * 7 = 21 square inches. The total area of the lateral faces is 4 * 21 = 84 square inches.

So the total surface area of the composite figure is 36 + 18 + 84 = 138 square inches.

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