A quadratic function is given. f(x) = 3r-x+6 What is f(2)?
F 40
28
16

Answer:

x = 6

Step-by-step explanation:

9/x = 12/8

12x = 72

/12     /12

x = 6

hope this helps ^^

Answer:6

1/3

Step-by-step explanation:

The solutions are x = 0, π, and 2π for the trigonometric equation 6 sin² x = 5 cos x + 20.

To solve the given equation:

6 sin² x = 5 cos x + 20

We can use the trigonometric identity:

sin² x + cos² x = 1

Multiplying both sides by 6, we get:

6 sin² x + 6 cos² x = 6

Substituting 1 - sin² x for cos² x, we get:

6 sin² x + 6 (1 - sin² x) = 6

Simplifying the equation, we get:

6 - sin² x = 6

sin² x = 0

Taking the square root of both sides, we get:

sin x = 0

x = nπ, where n is an integer.

Substituting this value in the original equation, we get:

6(0)² = 5(cos(nπ)) + 20

0 = (-1)n + 4

n must be even for the equation to hold true. Therefore, the solutions are:

x = 0, π, and 2π.

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Answer:

1/6

Step-by-step explanation:

When we talk of additive inverse, we mean the value we will add to a certain number to give 0

for example, the additive inverse of 4 is -4

Hence, the additive inverse of -1/14 is 1/14

The

multiplicative inverse is the number multiplied by another that gives 1

For example, the multiplicative inverse of 4 is 1/4

Thus, we have it that;

multiplicative inverse of 21/49 is 49/21

multiplying;

1/14 * 49/21 = 1/6

Answer:

Answer:

1/6

Step-by-step explanation:

When we talk of additive inverse, we mean the value we will add to a certain number to give 0

for example, the additive inverse of 4 is -4

Hence, the additive inverse of -1/14 is 1/14

The

multiplicative inverse is the number multiplied by another that gives 1

For example, the multiplicative inverse of 4 is 1/4

Step-by-step explanation:

If A is proper "nonempty-subset" of "connected-space" X, then boundary of A, is nonempty because every point in A is either interior or exterior point.

In order to prove that if A is proper "nonempty-subset" of "connected-space" X, then boundary of A, which is denoted Bd(A), is nonempty, we proof this by contradiction.

We assume that A is proper "nonempty-subset" of "connected-space" X, and suppose, that Bd(A) is empty,

Since Bd(A) is set of all "boundary-points" of A, the assumption that Bd(A) is empty implies that there are no "boundary-points" in A,

If there are no "boundary-points" in A, it means that "every-point" in A is either an "interior" or "exterior-point" of A,

Consider the sets U = A ∪ X' and V = X\A, where X' represents the set of exterior points of A. Both U and V are open sets since A is a proper nonempty subset of X.

U and V are disjoint sets that cover X, i.e., X = U ∪ V,

Since X is a connected space, the only way for X to be written as a union of two nonempty disjoint open sets is if one of them is empty. Both U and V are nonempty since A is proper and nonempty.

So, the assumption that Bd(A) is empty leads to a contradiction with the connectedness of X.

Thus, Bd(A) must be nonempty when A is a proper nonempty subset of a connected space X.

By contradiction, we have shown that if A is a proper nonempty subset of a connected space X, then the boundary of A, Bd(A), is nonempty.

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The given question is incomplete, the complete question is

Prove that if A is a proper nonempty subset of a connected space X, then Bd(A) ≠Φ.

Answer:

364.8/ 243.2

Step-by-step explanation:

ope this helps :b

The statement "If enough time is available, groups usually make higher-quality decisions than most individuals" is true.

Group decision-making has both advantages and disadvantages, but when enough time is available, groups tend to make higher-quality decisions compared to most individuals. This is due to several reasons. First, groups offer diverse perspectives and expertise, allowing for a broader range of ideas and insights.

Different individuals bring unique knowledge and experiences to the table, leading to a more comprehensive examination of the problem. Second, group decision-making involves collective scrutiny and evaluation of options, which helps in identifying potential flaws or biases in individual opinions.

Group discussions allow for critical analysis, debate, and challenging of assumptions, leading to a more thorough decision-making process. However, it is important to note that time constraints can impact the effectiveness of group decision-making. When time is limited, individual decision-making may be more efficient.

Additionally, the success of group decision-making also depends on factors such as group dynamics, effective communication, and skilled facilitation. Therefore, while groups have the potential for making higher-quality decisions, it is essential to consider the specific context and constraints when determining the most appropriate approach to decision making.

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Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

0.206896552 rounded to the nearest tenth is 0.2 (The 0 in the hundredths place rounds down)

To find 0.2 as a percentage simply multiply it by 100

0.2*100=20%

Answer:

B 100

Step-by-step explanation:

A straight line is measure to 180°. n+80=180

Answer:

option B (100)

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The computation of the volume of the cylinder is shown below:

As we know that

The Volume of the cylinder is

= base × height

= (4x)^2 + (5x)^2

=16x^2 + 25x^2

= 41x^3

Hence, the volume of the cylinder is 41x^3

The volume of the cylinder will be [tex]20x^2[/tex] .

Volume is the amount of space that something contains or fills.

Volume [tex]=Length*Breadth*Height[/tex]

We have,

Base area  [tex]=(4x)^2[/tex]

Height [tex]= (5x)^2[/tex]

So,

Volume of the cylinder [tex]=Base\ Area*Height[/tex]

                                        [tex]= (4x)^2* (5x)^2[/tex]

Volume of the cylinder [tex]=20x^2[/tex]

Hence, we can say that the volume of the cylinder will be [tex]20x^2[/tex] .

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Answer:

NL = 4.33

NM = 5

Step-by-step explanation:

tan 60° = NL/2.5

tan 60° = 1.7321

so:

1.7321 = NL/2.5

NL = (2.5)(1.7321)

NL = 4.33

cos 60° = 2.5/NM

cos 60° = 0.5

so:

0.5 = 2.5.NM

NM = 2.5/0.5

NM = 5

Step-by-step explanation:

Given radius, r = 5,

Circumference of Circle, C

[tex] = 2\pi \: r \\ = 2\pi(5) \\ = 10\pi \: units[/tex]

Answer:

[tex]10\pi[/tex]

Step-by-step explanation:

As the hint below says:

[tex]C = 2\pi r[/tex]

We also know that

r = 5

So thus:

[tex]C = 2 \pi \cdot 5 = 10\pi[/tex]

Answer:

Forgot the pic ?

Step-by-step explanation:

The set (A U B) O (AUC) is {1, 2, 3, 6, 7, 8, 10}.

The following steps can be used to find the set (A U B) O (AUC):

Step 1: Find A U B {1, 2, 3, 7} U {1, 3, 10} = {1, 2, 3, 7, 10}

Step 2: Find (A U B) U C({1, 2, 3, 7, 10} U {1, 2, 3, 6, 8}) = {1, 2, 3, 6, 7, 8, 10}

A set is a group of things. The objects (or elements) that make up a set are often listed within curly brackets, and sets are typically identified by a letter. It's important to keep in mind that a set is an unordered collection of objects, meaning that it doesn't matter what order the elements are listed in. are viewed as being equivalent.

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The presence of xo in A with the end goal that 1/|A| ∫ f(x)dx = f(xo). This finishes the confirmation.

To demonstrate the presence of a point xo in A to such an extent that 1/|A| ∫ f(x)dx = f(xo), where A will be an associated and minimized Jordan district with |A| > 0 and ƒ: A → R is a nonstop capability, we can involve the Mean Worth Hypothesis for Integrals.

In the first place, we should characterize a capability F: A → R as F(t) = 1/|A| ∫ f(x)dx - f(t), where t is a point in A. We need to show that there exists xo in A to such an extent that F(xo) = 0.

Since A will be an associated and minimal Jordan locale, it is likewise a shut and limited subset of R^n. Subsequently, A will be a smaller set. We realize that consistent capabilities on minimized sets accomplish their greatest and least qualities.

Since F is a consistent capability on the minimized set A, it accomplishes its most extreme and least qualities. Let M = max{F(t) : t in A} and m = min{F(t) : t in A}.

We have two cases to consider:

Case 1: In the event that M ≤ 0 and m ≥ 0, F(t) = 0 for all t in A, including xo. For this situation, we have demonstrated the presence of xo to such an extent that 1/|A| ∫ f(x)dx = f(xo).

Case 2: If either M > 0 or m < 0, we accept without loss of over-simplification that M > 0. Since M is the greatest worth of F on A, there exists a point t1 in A with the end goal that F(t1) = M. Essentially, we expect to be that m < 0, and there exists a point t2 in A with the end goal that F(t2) = m.

Consider the consistent way γ(t) from t1 to t2 in A. Since An is associated, such a way exists. Presently, characterize another capability G: [0, 1] → R as G(s) = F(γ(s)).

We have G(0) = F(γ(0)) = F(t1) = M > 0, and G(1) = F(γ(1)) = F(t2) = m < 0. In this way, by the Halfway Worth Hypothesis, there exists a point s0 in [0, 1] with the end goal that G(s0) = 0.

Let xo = γ(s0). Since G(s0) = F(γ(s0)) = 0, we have F(xo) = 0. Subsequently, we have demonstrated the presence of xo in A to such an extent that 1/|A| ∫ f(x)dx = f(xo).

In the two cases, we have shown the presence of xo in A with the end goal that 1/|A| ∫ f(x)dx = f(xo). This finishes the confirmation.

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I would say its the second one.

the student shouldve distributed the 2^3x+3 into 2^3x+9

Answer: B. (2,1)

Step-by-step explanation:

its not c because if you look at R you see that it is going 4,3 not 3,4 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then the x-axis.

It's not D because if you look at Q you see that it is going 3,5 not 5,3 because when you doing ratios on a number line it goes x-axis then y-axis next not y-axis then x-axis.

That's the same thing for A so your answer is b.

Answer:

B.......................

Answer:

Step-by-step explanation:

Yes.  Substituting 0.5 for v in 2.28 = 4.56v yields 2.28 = 2.28.

To oppose the traffic rules, the function g must satisfy |g(x)| > 1. The maximum velocity of the vehicles is Umax = 0. Finally, the value of g(1,1) is 0 based on the given initial condition.

a) For the function g to oppose the traffic rules, it must satisfy the condition |g(x)| > 1. In other words, the absolute value of g must be greater than 1. This condition indicates that the function represents a vehicle moving in the opposite direction of traffic flow.

b) To determine the maximum velocity of the vehicles (Umax), we can analyze the equation -dg/dt + (1-g^2)dg/dx = 0. By setting dg/dx = 0, we can find the critical points where the velocity is maximum. In this case, when g = ±1, the term (1-g^2) reaches its maximum value of 0. Therefore, the maximum velocity of the vehicles is Umax = 0.

c) Given the initial condition g(x,0) = 1 - x, we can find the value of g(1,1) by substituting x = 1 into the function. Thus, g(1,1) = 1 - 1 = 0. Therefore, the value of g(1,1) is 0.

In summary, to oppose the traffic rules, the function g must satisfy |g(x)| > 1. The maximum velocity of the vehicles is Umax = 0. Finally, the value of g(1,1) is 0 based on the given initial condition.

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Answer:

[tex]A=2513.27\ cm^2[/tex]

Step-by-step explanation:

The radius of semicircle window, r = 40 cm

The area of semicircle is given by :

[tex]A=\dfrac{\pi r^2}{2}[/tex]

Substitute all the values in the above formula.

[tex]A=\dfrac{\pi \times 40^2}{2}\\\\A=2513.27\ cm^2[/tex]

So, the area of the window is equal to [tex]2513.27\ cm^2[/tex].

0, 7

0 and 7 have the least amount of dots.

A is not equal to B because they have different initial strings. A contains strings composed of 'a', while B contains strings composed of 'b'.

Let's consider the following example:

A = {a, aa}

B = {b, bb}

In this case, A* represents the Kleene closure (or Kleene star) of language A, which includes all possible concatenations and repetitions of strings in A, including the empty string ε. So A* would be {ε, a, aa, aaa, ...}.

Similarly, B* would be {ε, b, bb, bbb, ...}.

In this example, we can see that A* is equal to B* because both languages contain strings of varying lengths formed by repeating their respective symbols (a and b).

To summarize:

A* = {ε, a, aa, aaa, ...}

B* = {ε, b, bb, bbb, ...}

A != B

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Using the Single Factor ANOVA F test with a significance level of α = 0.05, the F test statistic can be calculated to determine if there are any differences in the true average lumen outputs among the three brands of lightbulbs.

The p-value is then obtained from the software. Based on the conclusion derived from the p-value, either the null hypothesis (H0) is rejected, indicating statistically significant differences in the lumen output, or it is failed to be rejected, suggesting no statistically significant differences.

To determine if there are any differences in the true average lumen outputs among the three brands of lightbulbs, a Single Factor ANOVA F test is conducted. The null hypothesis (H0) assumes that there are no differences, while the alternative hypothesis (Ha) suggests that there are differences among the means.

The F-test statistic is calculated by dividing the mean square between treatments (MSTr) by the mean square error (MSE). The F-test statistic is not provided in the question, so it needs to be calculated using the given information.

The p-value, which represents the probability of obtaining test results as extreme as observed or more extreme, is obtained using software. The p-value is the area to the right of the F-test statistic in the F-distribution.

Based on the obtained p-value and a significance level of α = 0.05, the conclusion is made. If the p-value is less than 0.05, the null hypothesis (H0) is rejected, indicating statistically significant differences in the lumen output among the three brands. If the p-value is greater than or equal to 0.05, the null hypothesis (H0) is failed to be rejected, suggesting no statistically significant differences.

The conclusion should be stated based on the calculated p-value and the significance level. It could either be "Reject H0. There are statistically significant differences in the lumen output" or "Fail to reject H0. There are no statistically significant differences in the lumen output."

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The sample size required is 357.

Here's how to solve the problem:

Given that we need to be 99% confident of estimating the population mean to within a sampling error of ±3.

So, the margin of error (E) = 3 z-score for 99% confidence level = 2.58 (from standard normal distribution table)

The formula for sample size is:n = [z² * σ²] / E²

Where, n = sample size, σ = standard deviation of the population,

E = margin of error, and z = z-score

For a 99% confidence level, the z-score = 2.58

Substitute the given values in the formula:n = [2.58² * 14²] / 3²= 357.15≈ 357

Therefore, the sample size required is 357.

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Answer:

volume of a cylinder = 1408

hope this answer helps you...

Answer:

1407.616

Step-by-step explanation:

Volume of cylinder=πr²h

V=3.142×8×8×7

V=1407.616

NOTE: radius =diameter/2=16/2

giving 8.

Answer: - 17 C

Step-by-step explanation: 7 - 8 is negative 1 and twice as much of 8 is 16. -1 minus 16 is negative 17 (-17).

The correct answer is (b) low volume to area ratio is typical of the starting work geometry in sheet metal processes.

Explanation: Sheet metal processing is the method of shaping metal objects to create complex shapes and designs.

Cutting, punching, stamping, and forming are the most common sheet metal processes.

The workpiece's original shape and size are critical considerations in sheet metal processing.

The workpiece's geometry plays an important role in sheet metal processes.

The term volume-to-area ratio refers to the quantity of metal in a part divided by the surface area of that part.

The ratio is low in the case of sheet metal processing. Sheet metal workpieces have a high surface area-to-volume ratio.

This is due to the fact that sheet metal workpieces are often quite thin.

Because of this, sheet metal workpieces are lightweight.

Furthermore, thin sheets are more pliable and can be easily formed into various forms.

This geometry is ideal for sheet metal work since it allows for greater flexibility during processing.

In sheet metal processing, low volume-to-area ratios are typical of the starting work geometry.

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That would just be

66/24, as there is 24 minutes in a half

66/24=2.75 points

p = 2.75 points per min