Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true?

Width = area / length

Width = 40 / 8 = 5

Width = 5cm

Answer:

B:-7

Step-by-step explanation:

68-40/4

28/4=7

the graph of f(x) = x^3 - 3x^2 - 9x + 5 is concave down on the interval (-∞, 1), concave up on the interval (1, +∞), and has a point of inflection at x = 1.

To determine the intervals on which the graph of a function is concave up or concave down, we need to analyze the second derivative of the function. The concavity of a function can change at points where the second derivative changes sign.

Here's the step-by-step process to find the intervals of concavity and points of inflection:

Find the first derivative of the function, f'(x).

Find the second derivative of the function, f''(x).

Set f''(x) equal to zero and solve for x. The solutions give you the potential points of inflection.

Determine the intervals between the points found in step 3 and evaluate the sign of f''(x) in each interval. If f''(x) > 0, the graph is concave up; if f''(x) < 0, the graph is concave down.

Check the concavity at the points of inflection found in step 3 by evaluating the sign of f''(x) on either side of each point.

Let's go through an example to illustrate this process:

Example: Consider the function f(x) = x^3 - 3x^2 - 9x + 5.

Find the first derivative, f'(x):

f'(x) = 3x^2 - 6x - 9.

Find the second derivative, f''(x):

f''(x) = 6x - 6.

Set f''(x) equal to zero and solve for x:

6x - 6 = 0.

Solving for x, we get x = 1.

Therefore, the potential point of inflection is x = 1.

Determine the intervals and signs of f''(x):

Choose test points in each interval and evaluate f''(x).

Interval 1: (-∞, 1)

Choose x = 0 (test point):

f''(0) = 6(0) - 6 = -6.

Since f''(0) < 0, the graph is concave down in this interval.

Interval 2: (1, +∞)

Choose x = 2 (test point):

f''(2) = 6(2) - 6 = 6.

Since f''(2) > 0, the graph is concave up in this interval.

Check the concavity at the point of inflection:

Evaluate f''(x) on either side of x = 1.

Choose x = 0 (left side of x = 1):

f''(0) = -6.

Since f''(0) < 0, the graph is concave down on the left side of x = 1.

Choose x = 2 (right side of x = 1):

f''(2) = 6.

Since f''(2) > 0, the graph is concave up on the right side of x = 1.

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Answer:

4/8 = y/14

Step-by-step explanation:

These triangles are similar (see 1 sign of similarity of triangles)
Let's rotate the 2nd triangle, we'll see that the ratio of y to 14 is 4/8

Answer:

20% of 50 marbles is 1 fifth of the marbles in the bag. so 50 marbles divided by 5 =10 blue marbles

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

WOW, that's a lot of points!!

To find the answer for this problem, you take 80% of 50.

In the bag, 20% of the marbles are blue. That means that the rest of the 80% are not blue. So, take 0.8 * 50 = 40. 40 marbles that are not blue.

The total length of the race is 2.3 kilometers.

For us to determine the total length of the race, we shall sum the distance to be covered by each teammate by adding all of them together.

Thus, we have:

Max is to cover: 1 1/10 kilometers = 1.1 kilometers

James is to cover: 4/10 kilometers = 0.4 kilometers

Chase is to cover: 8/10 kilometers = 0.8 kilometers

Total distance to be covered by all team members = 1.1 + 0.4 + 0.8

= 2.3 kilometers

Therefore, the total length of the race is 2.3 kilometers.

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Answer:

4 questions

Step-by-step explanation:

90% is the same as multiplying a number by 0.9. Let's say the number of questions on the quiz is x. This means the amount she got right was 0.9x. We are given this is 36, so we can set them equal and simplify:

0.9x = 36

x = 40

She must have gotten 40 - 36, or 4 questions wrong.

Solution

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Dilation is the enlargement or reduction in the size of an image. If a point A(x, y) is dilated by a factor k, the new point is A'(kx, ky).

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 3 with a center of dilation at the origin.

Given triangle ABC has vertices at A(-1, 0), B(0, 1), C(3, 0).

If the triangle is dilated by a scale factor of 3, the new point is:

The new point is: A'(-1/3, 0), B'(0, 1/3), C'(1, 0). Hence the area of the triangle after dilation will be (one third) of the old points

Answer:

459170

Step-by-step explanation:

Since there are 365 days in a year, the factory will produce 1258 * 365 = 459170 toys in a year.

Answer:

459170

Step-by-step explanation:

the factory will produce in a year:1258*365=459170 toys

Find a basis for the subspace of P2 spanned by the given vectors using the results from Exercises 22 and 23.

For the subspace spanned by -1 + x - 2x², 3 + 3x + 6x?, 9, a basis can be found by applying the Gram-Schmidt process to the given vectors in order. This gives the basis {1 - 2x², 3x + 1}.

For the subspace spanned by 1 + x, x², 2 + 2x + 3x², a basis can be found by applying the Gram-Schmidt process to the given vectors in order. This gives the basis {1 + x, x² - 1, 3x² + 2x + 2}.

For the subspace spanned by 1 + x - 3x², 2 + 2x - 6x², 3 + 3x - 9x², a basis can be found by applying the Gram-Schmidt process to the given vectors in order. This gives the basis {1 + x - 3x², -2x + 4x², -x + 2x²}.

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In regression analysis, the independent variable is typically plotted on the x-axis.

The x-axis represents the independent variable or predictor variable, which is the variable that is believed to influence or have an impact on the dependent variable. This variable is typically plotted horizontally on the graph.

For example, let's say we are studying the relationship between the amount of study time and exam scores. In this case, the independent variable would be the amount of study time, which could be measured in hours.

By plotting the amount of study time on the x-axis, we can visually analyze how it relates to the dependent variable, which is the exam scores, typically plotted on the y-axis. This helps us understand the nature and strength of the relationship between the two variables.

So, in summary, the independent variable is plotted on the x-axis in regression analysis.

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Answer:

Answer should be 248.

Step-by-step explanation:

Multiple 62 by 4.

When a pair of dice rolled, the probability that the sum is either a multiple of 3 or a multiple of 4 is 5/9.

If an event A and an event B is independent to each other, then the probability A or B is:

P(A or B) = P(A∪B) = P(A) + P(B)

In the given problem:

The possible outcomes or the sample space of rolling a pair of dice = 6 x 6 = 36.

The maximum sum is 6 + 6 = 12

Multiple 3 or multiple 4 that ≤ 12 is {3, 4, 6, 8, 9, 12}

Possible outcomes for Sum = 3 are 1 + 2 and 2 + 1

Hence,

P(3) = 2/36

Possible outcomes for Sum = 4 are 1 + 3, 3 + 1, 2 + 2

Hence,

P(4) = 3/36

For Sum = 8,  2 + 6, 6 + 2, 3 + 5, 5 + 3, 4 + 4

Hence,

P(8) = 5/36

Similarly,

P(6) = 5/36

P(9) = 4/36

P(12) = 1/36

Therefore,

P(Multiple 3 or multiple 4) = P(3, 4, 6, 8, 9, 12)

                                          = 2/36+3/36+5/36+5/36+4/36+1/36

                                          = 20/36

                                          = 5/9

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The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.

It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.

Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.

As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.

The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.

While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.

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The height of the cliff is approximately 269 feet.

We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.

The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).

To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.

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Since there isn't a picture of the graphs, I attached one, of my graph, to this answer.

I'm also assuming (y2 2x+1) is actually (y< 2x+1).

Possible solutions are within the purple section of the attached image.

I hope this is helpful to you.

Graph that represents both the inequality is attached below.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

First, we make the graph,

The border of the inequality y = 2x + 1 has a slope of 2 and a y-intercept of 1. Plotting the y-intercept at (0, 1) and using the slope to determine further points will allow us to draw this line.

For instance, if we move two units up (in the positive y-direction) and one unit to the right (in the positive x-direction), we get the point (1, 3).

The answer to y < 2x + 1 may be represented by connecting these points with a dashed line and darkening the area below the line.

A boundary line for the inequality y -2x - 3 has a slope of -2 and a y-intercept of -3. Plotting the y-intercept at (0, -3) and using the slope to determine further points will allow us to draw this line.

For instance, if we move two units down (in the negative y-direction) and one unit to the right (in the positive x-direction), we get the point (1, -5).

The answer to y < -2x - 3 may be represented by connecting these points with a dashed line and coloring the area below the line.

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Answer:-a+5ab+8

Step-by-step explanation:

Answer:

3132

Step-by-step explanation:

2.2% of 3500 is 77 which leaves you with 3423 after one year. At this rate you can take 2.2% of 3423. using this formula five times you reach a final answer of 3132.

3500

-77

3423

-75.306

3347.694

-73.649268

3274.044732

-72.028984104

3202.0157479

-70.4443464538

3131.57140145

and rounding up to a whole leaves you with 3132

This statement is True. The statement is known as the 68-95-99.7 rule, which applies to a normal distribution. According to this rule, approximately 99.7 percent of the sample means will fall within plus or minus two standard deviations of the process mean if the process is under control. This rule is derived from the properties of a normal distribution and provides a guideline for assessing the variability of a process.

In statistical terms, if a process is under control and follows a normal distribution, about 68 percent of the sample means will fall within one standard deviation of the process mean, around 95 percent will fall within two standard deviations, and roughly 99.7 percent will fall within three standard deviations. This rule assumes that the process is stable and does not have any significant shifts or outliers.

The 99.7 percent figure is derived from the empirical rule, which is based on the characteristics of a normal distribution. It is widely used in statistical process control and quality management to assess the performance and variability of a process. By monitoring the sample means and their deviation from the process mean, practitioners can identify if the process is in control or if there are any significant variations that need to be addressed.

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Answer:

Yes you are correct

Step-by-step explanation:

180-40=140

140-30

110

Answer:

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Plug in 1 to the function:

f(x) = 6x + 5

f(1) = 6(1) + 5

f(1) = 6 + 5

f(1) = 11

Answer:

Step-by-step explanation:

Answer:

14 votes

Step-by-step explanation:

To find 70% of 20, first convert the percentage into a decimal. Move the decimal place two places to the left.

Now take the 20 and multiply it by 0.70.

You will end up with 14 as your answer.

Step-by-step explanation:

which questions you were asking

Answer:

5/7, no

Step-by-step explanation:

5 and 7 aren't divisible so it ends up being a fraction. Fractions aren't rational so the answer is no.

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

Answer: -6x

Step-by-step explanation:

Just subtract the coefficients:

The coefficient of 10x is 10

The coefficient of 16x is 16

now do ten minus 16 (TIP: if you don't really like negative numbers, then an easy way of subtracting 10-16 is 16-10=6, then add the negative sign to 6; -6)

10 - 16 = -6

Now put the x back: -6 = -6x

The correct answer is -6x

Answer:

66 hours

Step-by-step explanation:

Monday through Friday is 45 hours

and Saturday and Sunday is 21 hours

Answer:

EFG = 90 degrees

GDH = 45 degrees

FEG = 45 degrees

DHG = 90 degrees

Step-by-step explanation: