if an arugmetn is invalid, then whever the premises are all false, the conlucison must also be flase

Answer:

1

Step-by-step explanation:

18-4x=7x+7

18-7=7x+4x

11=11x

x=1

4 people can go to the amusement park. The required inequality is 32.50x + 10.50 ≤ 160.

The relationship between two expressions that aren't equal to one another is shown by inequality.

Let the number of people who can go to amusement park = x.

Given that,

Maximum amount of money that can be expended = $160,

Cost of parking charges = $10.50

And price of one ticket = $32.50

Since, there are x number of people, and price of one ticket is $32.50.

Price of tickets for x people = 32.50x.

Total price including parking charges = 32.50x + 10.50

The maximum price can be $160.

The inequality can be written as,

32.50x + 10.50 ≤ 160

32.50x ≤  160 - 10.50

32.50x ≤  149.50

x ≤  149.50 / 32.50

x ≤  4.6

The required inequality is for x ≤  4.6.

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Step-by-step explanation:

A line of best fit can be roughly determined using an eyeball method by drawing a straight line on a scatter plot so that the number of points above the line and below the line is about equal (and the line passes through as many points as possible).

The value for the mean, median, mode and range are 48,47.5, 72 and 66 independently.

The mean is the computation normal of a set of values. The median is the middle value in a dataset when it's arranged in thrusting or descending order. The mode is the value that appears most constantly in a dataset. The range is the difference between the largest and the lowest data.

mean = (15 + 19 + 28 + 32 + 43 + 52 + 66 + 72 + 72 + 81)/10

mean = 480/10 = 48

median = (43 + 52)/2

median = 47.5

mode = 72

range = 81 - 15 = 66

Thus, the value for the mean, median, mode and range are 48, 47.5, 72 and 66 respectively.

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The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning."

This approach allows us to examine the various parts of a complex issue individually, facilitating a deeper understanding and easier solution finding.

Analytical reasoning involves dissecting a problem or argument into its constituent elements, identifying relationships between them, and evaluating their individual roles and contributions. By breaking down the problem, we can focus on each component separately, which can lead to clearer insights and more effective problem-solving strategies.

This method of analysis is commonly used across various disciplines, including mathematics, science, philosophy, and critical thinking. It helps us understand complex phenomena, solve intricate equations, and make informed decisions based on careful examination.

The benefits of breaking down a big argument or problem into smaller components are manifold. It helps to identify patterns, uncover hidden relationships, and clarify any ambiguities or misconceptions. By addressing each component individually, we can apply specific strategies or methods that are relevant to that particular element, making the problem more approachable and manageable.

Overall, The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning." It enables us to grasp intricate concepts, develop logical reasoning, and arrive at well-structured and comprehensive solutions.

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Answer:

Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.

Step-by-step explanation:

1) I want to talk about reflections first.

2) Rigid transformations

Example (check image for visual)

We transform \(y = x^2\) to \(y = -(-x-3)^2+3\) , you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.

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Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.

1) The key feature of the parabola formed by the equation f(x) = -4.9x² + 26.1x + 65 is its vertex.

To find the vertex, we can use the formula x = -b/2a, where a = -4.9 and b = 26.1:

x = -26.1/(2*(-4.9)) = 2.1224

Then, we can plug in x to find the y-coordinate of the vertex:

f(2.1224) = -4.9(2.1224)² + 26.1(2.1224) + 65 = 85

Therefore, the vertex of the parabola is approximately (2, 85).

2)

To find the x-intercepts of the equation f(x) = -4.9x² + 26.1x + 65, we need to set f(x) equal to zero and solve for x:

-4.9x² + 26.1x + 65 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a = -4.9, b = 26.1, and c = 65.

Plugging in these values, we get:

x = (-26.1 ± √(26.1² - 4(-4.9)(65))) / 2(-4.9)

Simplifying this expression, we get:

x = (-26.1 ± √(1955.21)) / (-9.8)

x = −

1.8487506749268732, or 7.17528128717177

x ≈ -1.85 or x ≈ 7.18

Therefore, the x-intercepts of the parabola are approximately -1.94 and 6.89.

3)

The y-intercept of the equation f(x) = -4.9x² + 26.1x + 65 is found by setting x = 0 and solving for y:

f(0) = -4.9(0)² + 26.1(0) + 65 = 65

Therefore, the y-intercept is (0, 65).

4)

The vertex of the parabola given by the equation f(x) = -4.9x² + 26.1x + 65 is a maximum point. This is because the coefficient of the x² term is negative, which means the parabola opens downwards.

5) Based on the given equation f(x) = -4.9x² + 26.1x + 65, we can find the height of the cannon before it is launched by finding the y-intercept of the equation.

To do this, we can substitute x = 0 in the equation:

f(0) = -4.9(0)² + 26.1(0) + 65

f(0) = 65

Therefore, the height of the cannon before it is launched, at t = 0, is 65 meters.

6)

The equation of the parabola is given by f(x) = -4.9x² + 26.1x + 65, where f(x) represents the height of the cannonball at time x.

The vertex of the parabola is located at the point (-b/2a, f(-b/2a)), where a = -4.9 and b = 26.1.

So, the x-coordinate of the vertex is -b/2a = -26.1/(2*(-4.9)) ≈ 2.67.

To find the maximum height, we need to evaluate f(2.67):

f(2.67) = -4.9(2.67)² + 26.1(2.67) + 65

≈ 99.8 meters.

Therefore, the cannonball reaches its maximum height of approximately 100 meters at time t ≈ 2.67 seconds.

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Answer:

\( (7x)^{\frac{2}{3} = (\sqrt[3]{7x})^2 \)

Step-by-step explanation:

Given the expression \( (7x)^{\frac{2}{3} \), to express this as a radical expressions, we'd apply the rule/law of indices that deals with converting expressions that has rational exponents into radical expressions.

The rule of indices to apply is: \( b^{\frac{m}{n}} = (\sqrt[n]{b})^m \)

To apply this to the expression, \( (7x)^{\frac{2}{3} \), the denominator of the fraction of the exponent would determine the root, that is, cube root in this case. The numerator of the exponent would then determine the exponent of the radical expressions.

Thus:

\( (7x)^{\frac{2}{3} = (\sqrt[3]{7x})^2 \)

When estimating the cash flows on a given project, firms should include expenses from previous years, such as research & development costs. (True)

When estimating cash flows for a project, it is important to consider all relevant expenses, including those incurred in previous years. Research and development (R&D) costs are often incurred over an extended period before a project reaches the commercialization stage. Including these expenses in the cash flow estimation provides a more accurate picture of the project's financial performance. R&D costs can be significant and have a direct impact on the project's profitability.

By including these expenses, firms can evaluate the true costs and potential returns associated with the project. Additionally, including past expenses helps in assessing the project's historical performance and provides valuable insights for decision-making.

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Answer:

(5x - 1)(2y - 3)

Step-by-step explanation:

10xy - 15x - 2y + 3 = 5x (2y - 3) - (2y - 3) = (5x - 1) (2y - 3)

Answer:

yes it is a function there is no graph so I cant justify it

The relation is not a function.

Relations that are functions will pass the vertical line test

The points are given as:

(0,0), (2,0), (2,2), and (3,4)

Next, we plot the points on the graph (see attachment).

From the graph, we can see that a vertical line passes through points (2,0) and (2,2).

Hence, the relation is not a function.

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Answer:

4/49

Step-by-step explanation:

7-5 = 2

2/7*2/7 = 4/49

Answer:

4/49

Step-by-step explanation:

\( \frac{ (\frac{2}{7})^{7} }{( \frac{2}{7} )^{5} } = ({ \frac{2}{7} )}^{7 - 5} \\ = ( \frac{2}{7})^{2} \\ = \frac{4}{49} \)

Answer:

Chantal and Trisha will have both traveled 105 miles in 20 minutes.

Step-by-step explanation:

\(y\) is distance in miles, \(x\) is time in hours.

The two equations are:

\(y = \frac{20}{x} + 45\)

\(y = \frac{35}{x}\)

Set them equal to each other and solve for x:

\(\frac{35}{x} = \frac{20}{x} + 45\)

\(\frac{35}{x} - \frac{20}{x} = 45\)

\(\frac{35-20}{x} = 45\)

\(\frac{15}{x} = 45\)

\(x = \frac{15}{45} = \frac{1}{3} hours = 20 minutes\)

Plug that back into the equations to confirm this \(x\) gives the same \(y\):

\(y = \frac{20}{1/3} + 45 = 105 miles\)

\(y = \frac{35}{1/3} = 105 miles\)

Answer:

12

Step-by-step explanation:

144/16=9

Each child gets sixteen coins if there are nine children.

9+3=12

There are three more children so there are twelve.

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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Answer:  rate of change = 2

===============================

Explanation:

Apply the slope formula. I'll use the first two columns as the two points, but you can use any two columns you want.

m = (y2-y1)/(x2-x1)

m = (9-5)/(3-1)

m = 4/2

m = 2

The slope is 2, so the rate of change is 2. Slope and rate of change describe the same thing. Each time x goes up by 1, y goes up by 2.

False. If the mean of "u" (unobserved ability) is independent of education, it only means that the average level of ability is not affected by the level of education. It does not imply that the average level of ability is the same for all levels of education.

In economics, "u" is often used to represent unobserved ability or talent, which can affect an individual's income or job performance. If the mean of "u" is independent of education, it means that the average level of ability is not affected by the level of education, i.e., the mean of "u" is the same for all individuals regardless of their level of education.

However, it does not imply that the average level of ability is the same for all levels of education.

For example, individuals with higher levels of education may have higher levels of "u" on average, due to factors such as better access to resources, more opportunities for learning and development, or self-selection of individuals with higher levels of "u" into higher levels of education.

In such a case, the mean of "u" would still be independent of education, but the average level of ability would not be the same for all levels of education.

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Answer:

translated 4 units right

Step-by-step explanation:

The graph was translated 4 units right.

The possible measures  for the other two angles will be that the sum of that angle must be 90 degree.

A triangle is considered to be 3-sided polygon in some cases  Each triangle has three sides and three angles, a few of which may be the same. The portion of the plane enclosed by the triangle is said the triangle interior, whereas the leftover portion is the exterior. Since we are  given that  one of the angles of the  given is a right angle, according to one of the rules of the triangle the sum of all the interior angles of a triangle should be 180, for the triangle ABC,

=>A+B+C = 180

=>A+90+C= 180

=>A+C= 180-90

=>A+C=90

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7

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..................

Answer: ln|y/8| + C
Explanation:

First, we need to recognize that the derivative of arctan(x) is 1/(1+x^2). Therefore, the derivative of arctan(y/8) is 8/(64+y^2).

Now, using the substitution u = y/8, we can rewrite the integral as:

∫(1/u)(64+64u^2)(8/(64+64u^2))du

Simplifying, we get:

∫(1/u)du = ln|u| = ln|y/8|

Therefore, the final answer is:

ln|y/8| + C

where C is the constant of integration.

Answer:5=0+9

Step-by-step explanation:

The height of the 2000mm beaker found using the equation s = 1/3*h is 18cm.

What is an equation?

A mathematical equation is a formula that uses the equals sign (=) to represent the equality of two expressions. The expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side," respectively, of the equation. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

Given two beakers of volume 50mm and 2000mm.

Let the height of the 2000mm beaker be h.

Then according to the given question,

height of the 50 mm beaker = 1/3 * h

If the height of the 50mm beaker is s.

Then the equation is:

s = 1/3 * h

According to the figure given below, the height of the 50mm beaker is 6cm.

So using the above equation,

1/3 h = 6

h = 18 cm.

Therefore the height of the 2000mm beaker found using the equation is 18cm.

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Answer:

3x^3-2x^2-19x-6

Step-by-step explanation:

= 3x^2x+3x^2(-3)+7xx+7x(-3)+2x+2(-3)

= 3x^3 - 2x^2 - 19x - 6

Key - (^) means exponent

The number of reindeer in St. Elsewhere in 1920 will be approximately 475.

The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.

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Answer:

10 meters

Step-by-step explanation:

highest value on y-axis

Answer:

75, 91, 108

Step-by-step explanation:

Honestly I just used a pattern calculator, if you can look one up.

Please mark brainlest

Answer:

18 boys

Step-by-step explanation: