2. Which expression is equal to: X + x + x + x A 4+x B) x - 4 © 4x D х 4​

Answer:

67

Step-by-step explanation:

t10 = 7(10) -3 = 70-3 = 67

Answer:

A -  y = cos(x-1)

Step-by-step explanation:

This is what it looks like when you graph y = cos(x-1). It matches the graph on your question exactly, this graph is just using trig concepts.

Please give me brainliest if my answer was right. :)

Answer:

2x - 7y > 10

8 + x > 5

3 < 5

Step-by-step explanation:

The equations are

Ax + By + C < 0 or Ax + By + C > 0

There is no equal in a linear inequality

The first option 2x + 8 = 10y is an equation, so it is wrong. The other 3 are correct!

By applying the graphical approach, the solution of the nonlinear system that lies in the third quadrant of the Cartesian plane is the point (x, y) = (- 2, -5).

The first equation corresponds to an ellipse whose major axis is vertical and the second equation is another ellipse with similar characteristics. There are two manners to determine the solution of the given system: (i) Analytical, (ii) Graphical.

In this situation we decide to use a graphical approach, which consists in plotting each function on a Cartesian plane. We use a graphing tool herein.

Please notice that the third quadrant of the Cartesian plane is the region of the plane such that x < 0 and y < 0. The solution of the nonlinear system that lies in the third quadrant is (x, y) = (- 2, -5).

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Answer:

Quadrant III: (-2,-5)

Quadrant IV: (2,-5)

Step-by-step explanation:

Graphed the equations as a system and then found the points that intersect on the graph of each quadrant + was marked correct on APEX

I) f is continuous at x=2

II) f is differentiable at x=2

These both f (function ) are true

The given limit can be recognized as the definition of the derivative of f at x=2. Specifically, it states that the derivative of f at x=2 is equal to 5.

Using this information, we can make the following conclusions:

I) We cannot say for sure whether f is continuous at x=2 based on the given limit alone. While a function being differentiable at a point implies that it is also continuous at that point, the converse is not necessarily true. Therefore, we would need additional information to determine whether f is continuous at x=2.

II) The given limit implies that f is differentiable at x=2, since the limit exists and is finite. Specifically, we can say that the derivative of f at x=2 exists and is equal to 5.

III) The given limit also implies that the derivative of f is continuous at x=2. This is because the limit defines a continuous function at x=2, and it is well-known that if a function is differentiable at a point, then it is also continuous at that point.

Therefore, the correct answers are II and III.

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Answer:

standard form:   y = x² - 2x - 8

vertex form:  y = (x − 1)² - 9

factorized form:  y = (x + 2)(x - 4)

Step-by-step explanation:

From inspection of the graph:

Standard quadratic form:   y = ax² + b x + c

Vertex form of a quadratic equation:   y = a(x − h)² + k

If a > 0 then the parabola opens upwards

If a < 0 then the parabola opens downwards

(h, k) is the vertex

c is the y-intercept

Inputting the vertex into the vertex form gives:

y = a(x − 1)² - 9

  = a(x² - 2x + 1) - 9

  = ax² - 2ax - 8

Using the x-intercepts to create a quadratic equation:

y = a(x + 2)(x - 4)

  = a(x² - 2x - 8)

  = ax² - 2ax - 8a

Comparing the y-intercepts:

-8 = -8a  ⇒  a = 1

Therefore,   y = x² - 2x - 8

Answer: True

Step-by-step explanation: Magnets do not have to touch, but their fields repel or attract other magnets without actual physical touch.

The empirical rule, also known as the 68-95-99.7 rule, is a statistical guideline that applies to data that follows a bell-shaped distribution or a normal distribution.

According to this rule:

- Approximately 68% of the data falls within one standard deviation of the mean.
- Approximately 95% of the data falls within two standard deviations of the mean.
- Approximately 99.7% of the data falls within three standard deviations of the mean.

(a) To determine the percentage of people with an IQ score between 82 and 118, we can use the empirical rule. Since the IQ scores follow a bell-shaped distribution with a mean of 100 and a standard deviation of 18, we can calculate the range within two standard deviations of the mean. Two standard deviations below the mean is 100 - (2 * 18) = 64, and two standard deviations above the mean is 100 + (2 * 18) = 136.

The percentage of people with an IQ score between 82 and 118 is the percentage of data within this range, which is approximately 95%.

(b) To find the percentage of people with an IQ score less than 46 or greater than 154, we can again use the empirical rule. Three standard deviations below the mean is 100 - (3 * 18) = 46, and three standard deviations above the mean is 100 + (3 * 18) = 154. So, the percentage of people with an IQ score less than 46 or greater than 154 is the percentage of data beyond this range, which is approximately 0.3% (0.15% on each tail).

(c) To determine the percentage of people with an IQ score greater than 118, we can use the empirical rule as well. One standard deviation above the mean is 100 + 18 = 118. The percentage of people with an IQ score greater than 118 is the percentage of data beyond this value, which is approximately 16%.

The percentages are as follows:
(a) Approximately 95% of people have an IQ score between 82 and 118.
(b) Approximately 0.3% of people have an IQ score less than 46 or greater than 154.
(c) Approximately 16% of people have an IQ score greater than 118.

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The statement is false. The arc length of the curve defined by x = 4(3 + y)² on the interval [1, 4] is not approximately 131 units.

To find the arc length of a curve, we use the formula ∫ √(1 + (dx/dy)²) dy, where the integral is taken over the given interval.

In this case, the equation x = 4(3 + y)² represents a parabolic curve. By differentiating x with respect to y and substituting it into the arc length formula, we can calculate the exact arc length over the interval [1, 4].

However, it is clear that the arc length of the curve defined by x = 4(3 + y)² cannot be approximately 131 units, as this would require a specific calculation using the precise integral formula mentioned above.

Therefore, the statement is false, and without further calculations, we cannot determine the exact arc length of the given curve on the interval [1, 4].

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Based on the p-value, we can make a conclusion about the null hypothesis. If the p-value is below a certain significance level (e.g., 0.05), we would reject the null hypothesis and conclude that births are not equally likely across the days of the week.

a. State the appropriate hypotheses:

The appropriate hypotheses for this problem are:

Null hypothesis (H₀): Births are equally likely across the days of the week.

Alternative hypothesis (H₁): Births are not equally likely across the days of the week.

b. Calculate the expected count for each of the possible outcomes:

To calculate the expected count for each day of the week, we need to determine the expected probability for each day and multiply it by the sample size.

Total count: 11 + 27 + 23 + 26 + 21 + 29 + 13 = 150

Expected probability for each day: 1/7 (since there are 7 days in a week)

Expected count for each day: (1/7) * 150 = 21.43

c. Calculate the value of the chi-square test statistic:

The chi-square test statistic can be calculated using the formula:

χ² = Σ((Observed count - Expected count)² / Expected count)

Using the observed counts from the given sample distribution and the expected count calculated in step (b), we can calculate the chi-square test statistic:

χ² = [(11-21.43)²/21.43] + [(27-21.43)²/21.43] + [(23-21.43)²/21.43] + [(26-21.43)²/21.43] + [(21-21.43)²/21.43] + [(29-21.43)²/21.43] + [(13-21.43)²/21.43]

Calculating this expression will give the value of the chi-square test statistic.

d. Degrees of freedom:

The degrees of freedom for a chi-square test in this case would be (number of categories - 1). Since we have 7 days of the week, the degrees of freedom would be 7 - 1 = 6.

e. Use Table C to find the p-value:

Using the calculated chi-square test statistic and the degrees of freedom, we can find the corresponding p-value from Table C of the chi-square distribution.

Consulting Table C with 6 degrees of freedom, we can find the critical chi-square value that corresponds to the calculated test statistic. By comparing the test statistic to the critical value, we can determine the p-value.

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In this study, weight loss would be the dependent variable, as it is being measured or observed as a result of the change in the independent variable, which is the calorie intake (1,300 calories/day).

The independent variable is the factor that is being manipulated or changed in the study, and the dependent variable is the factor that is being measured or observed as a result of that change.

Put simply, an independent variable is just what it sounds like it is. It's a separate factor that can't be affected by the others. One independent variable could be a person's age.

In research, the independent variable might be either (1) quantitative or (2) qualitative. Variables with numeric or scalar ranges are called quantitative. They can be thought of as numerical variables that provide answers to "how many?" or "how often?"

The three primary categories of research variables are the independent variable, the dependent variable, and the controlled variables. Take the case of an automobile driving along a variety of terrains.

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Answer:

mean gives you the average of the information, median gives the perfect number. brainliest please

Answer:

D. 15/6

Step-by-step explanation:

Answer:

\(227 \frac{1}{16} \)

Step-by-step explanation:

\(15 \frac{3}{4} \times (7 \frac{3}{4} + 6 \frac{2}{3} ) \)

\( = \frac{63}{4} \times ( \frac{31}{4} + \frac{20}{3} )\)

\( = \frac{63}{4} \times ( \frac{93}{12} + \frac{80}{12} )\)

\( = \frac{63}{4} \times \frac{173}{12} \)

\( = 227\frac{1}{16} \)

Meaning of infinitive generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.

Explanation:

Meaning of infinitive :

Example of infinitive representing action is:

They will lock the front gate to prevent the house from theft.

To prevent represent the action.

Example: To swim in the deep lake may be dangerous for a person.

Example : i like to read in Sanskrit.

Example : I can't wait to eat.

Therefore,  infinitive meaning generally represents the action or some purpose of the given word. For example: They will lock the front gate to prevent the house from theft.

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Based on the triangle midpoint theorem, the statement which must be shown is that: B. the length of GH is half the length of KL.

Triangle midpoint theorem states that the line segment which joins the midpoints of two (2) sides of a triangle is parallel to the third side, and it's congruent to one-half of the third side.

Based on the triangle midpoint theorem, we can infer and logically deduce that the statement which must be shown is that the length of GH is half the length of KL.

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Answer:  B. The length of GH is half the length of KL.

Step-by-step explanation:   TRUST ME!  The answer is correct on Edge.  :)

Answer:

Slope of the line m =-2

Step-by-step explanation:

Explanation:-

Given that the points are (10,14) and (8,18)

Slope of the line

    \(m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

    \(m = \frac{18-14 }{8-10 } = \frac{4}{-2} = -2\)

Slope of the line m =-2

Answer:

\(\frac{2,000}{365}\)=\(\frac{x}{500}\)

The length and width of the rectangle are 3n²+ 10n+14 and 2n² respectively.

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object. Area is measured in squared units.

The area of a rectangle is expressed as ;

A = l× w

The area is given as 6n⁴+20n³+14n².

A monomial is an expression that has a single non-zero term.

The greatest monomial factor of the area is 2n². This is because the greatest factor between n⁴, n³ and n² is n² and the greatest common factor between 6, 20 and 14 is 2

therefore 6n⁴+20n³+14n² = 2n²( 3n²+ 10n + 14)

Since the width of the rectangle is the greatest monomial factor, therefore,

the width = 2n² and

The length = 3n²+10n+14

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The number is 15.6.

To find the number, we can solve the given equation: (1/2)x - 19.7 = -4.1. By isolating x, we add 19.7 to both sides of the equation to cancel out the -19.7 on the left side, which gives us (1/2)x = 15.6. Finally, multiplying both sides of the equation by 2 gives us x = 15.6. Therefore, the number is 15.6

The equation (1/2)x - 19.7 = -4.1 represents the problem statement "Decreasing half of a number by 19.7 results in -4.1." Our goal is to find the value of the unknown number represented by x.

To solve the equation, we want to isolate x on one side of the equation. We begin by adding 19.7 to both sides to eliminate the -19.7 on the left side. This gives us (1/2)x = 15.6.

To further isolate x, we need to remove the coefficient of (1/2) from x. Multiplying both sides of the equation by 2 cancels out the (1/2) on the left side, resulting in x = 15.6

Therefore, the number we are looking for is 15.6

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The solution to the algebraic equation (1/2)x - 19.7 = -4.1 involves first adding 19.7 to both sides to isolate the term (1/2)x then multiplying the result by 2. This calculation yields that 'x' equals 31.2.

This question deals with simple algebraic equation. The given equation is (1/2)x - 19.7 = -4.1. Our aim is to find the value of 'x'. We can start solving this by first adding 19.7 to both sides of the equation to isolate the term (1/2)x on one side. This gives us

(1/2)x = -4.1 + 19.7

(1/2)x = 15.6

Next, we can find the value of 'x' by multiplying both sides of the equation by 2. This produces

x = 15.6 * 2

The value of 'x' is therefore 31.2

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Answer:

Jim=S-3

Steve=M-4

U figure out the last part.           I helped

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Equating Matt's Speed in both cases

Now, taking Equation 1 :

Now, taking Equation 2 :

The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

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Answer:

324

Step-by-step explanation:

c = (b/2)²=(-36/2)²=(-18)²=324

approximately 38.9% of all possible observations of the variable are at most 20.

What is Percentage?

Percentage is a way of expressing a fraction or a proportion out of 100. It is commonly used to represent parts of a whole or to compare quantities relative to a total.

a. To find the percentage of all possible observations of the variable that exceed 20, we can subtract the area to the right of 20 (0.389) from 1 (which represents the total area under the density curve).

Percentage exceeding 20 = (1 - 0.389) * 100 = 61.1%

Therefore, approximately 61.1% of all possible observations of the variable exceed 20.

b. To find the percentage of all possible observations of the variable that are at most 20, we can directly use the given area to the right of 20 (0.389) and convert it to a percentage.

Percentage at most 20 = 0.389 * 100 = 38.9%

Therefore, approximately 38.9% of all possible observations of the variable are at most 20.

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Answer:

2 dollars each

Step-by-step explanation:

Answer: $2

Step-by-step explanation: so we know you can buy 10 super size granola bars for $20 so we divide 20/10 and we get $2.

I hope this helps!

The probability P(n < 10 | n is prime) is 4/6, which simplifies to 2/3 or approximately 0.67 (rounded to the nearest hundredth).

To find the probability P(n < 10 | n is prime), we need to determine the number of prime integers less than 10 and divide it by the total number of integers from 1 to 15 that are prime.

The prime numbers less than 10 are 2, 3, 5, and 7. So, there are 4 prime numbers less than 10.

The total number of integers from 1 to 15 that are prime is 6 (2, 3, 5, 7, 11, and 13).

As a result, the chance P(n 10 | n is prime) is 4/6, which can be expressed as 2/3 or, rounded to the nearest hundredth, as around 0.67.

Thus, 0.67 is the answer.

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Answer:

D 35

Step-by-step explanation:

When figuring this out you can just plug in your answers if you want to take it the easier way by just putting in the 35 in places of x and multiplying 0.1 times 35 gets you 3.5 so 3.5 minus 2.5 is 1

Answer:

xDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD.........................................................D :D

According to the information, the angles of these triangles are: 90°, 60° and 30°.

To calculate the value of the angles we must use a protractor. To use a protractor we must identify the line that is identified as 0°. Later, we must place it on one of the vertices of the angle and the central point of the protractor must be just above the angle.

Once it is in this position, we must identify the value that coincides with the other vertex. There it will not say what the value of the angle is. We must do this procedure in the three angles of the triangle and we can verify it by adding them, this sum must give us 180° as a result.

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Answer:

Number of population between  16 and 60 =17,604

Step-by-step explanation:

population of town = 32600

Percentage of people over 60 years old=27%

Percentage of people 16 or under =19%

Percentage of people between  16 and 60= 100%-(27% +19%)

100-(46) =54%

Number of population between  16 and 60 =Percentage of people between  16 and 60 x population of town

=54% x 32600

=17,604