como calcular el área de un cono?

Answer:

Discriminant = 93, two real roots/solutions

Step-by-step explanation:

Discriminant = b² - 4ac = (9)² - 4(3)(-1) = 81 + 12 = 93

Since 93>0, the quadratic equation has two real roots/solutions.

Answer:

R60 is the answer to your question

Answer:

1. X > 1

2. 3/2

Step-by-step explanation:

For the first one, you must get x by itself in one side. to get rid of the Positive 3, you must subtract it from both the 3 and 10on the other side. Now u have 7x > 7. You then divide the seven from thr seven on one side and the seven on the other side. X> 1

number 2. multiplying is the opposite of dividing right? So you would multiply the 4 by what is on the other side, 3/8. 4 can also be written as a fraction, 4/1. When you multiply this out, you get 12/8 which is the same thing as 3/2.

i hope this helps u

Answer:

the first one

Step-by-step explanation:

The given problem presents a scenario of a college student who earns a certain amount of money by delivering advertising brochures door-to-door and interviewing people. We are given that the student earned a total of $126 on a particular day, out of which $50 came from delivering the brochures. Therefore, we can say that the student earned the remaining amount of $76 by interviewing people.

To determine the number of people the student interviewed, we need to use the information given about the rate of pay for the interviews. We know that the student earns 50 cents for each person he interviews. Thus, to find the number of people he interviewed, we can divide the amount he earned from interviews ($76) by the rate of pay per interview ($0.50). This gives us the equation:

Number of people interviewed = Amount earned from interviews / Rate of pay per interview

Substituting the values, we get:

Number of people interviewed = $76 / $0.50 = 152

Therefore, the college student interviewed 152 people on the day he earned $126.

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(a) Yes, there must be a sequence of consecutive games in which the Ants scored exactly 8 goals.

(b) No, there doesn't have to be a sequence of consecutive games in which the Bees scored exactly 8 goals.

(c) No, there doesn't have to be a sequence of consecutive games in which the Cicadas scored exactly 8 goals.

To show that there must be a sequence of consecutive games in which the Ants scored exactly 8 goals, we can use the Pigeonhole Principle. Since the Ants played 40 games and scored a total of 71 goals, their average goal per game is 71/40 = 1.775. This means that there must be at least one game where the Ants scored 2 goals.

Similarly, if we subtract 2 goals from the total and divide by 39 games remaining, we get an average of 1.692. This means there must be another game where the Ants scored at least 2 goals. By repeating this process, we can find a sequence of consecutive games where the Ants scored exactly 8 goals.

To show that there doesn't have to be a sequence of consecutive games in which the Bees scored exactly 8 goals, we can provide a counterexample. Let's say the Bees scored 40 goals in the first 20 games and 40 goals in the remaining 20 games. In this case, the Bees scored a total of 80 goals, but there is no sequence of consecutive games where they scored exactly 8 goals. This counterexample demonstrates that the claim is not universally true for all scenarios.

To prove or disprove whether there must be a sequence of consecutive games in which the Cicadas scored exactly 8 goals, we need more information. The given total number of goals (79) and the total number of games (40) do not provide enough data to reach a conclusion. Without additional details about the distribution of goals across the games, we cannot determine whether such a sequence exists or not.

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Answer:

Step-by-step explanation:

To identify the conditions of continuity that are not satisfied if a function has any discontinuities, we need to consider the three conditions for continuity:

1. The function must be defined at the point of interest.

2. The limit of the function as it approaches the point of interest must exist.

3. The value of the function at the point of interest must equal the limit.

If any of these conditions are not met, the function will have a discontinuity at that point.

There are different types of discontinuities, including removable, jump, infinite, and oscillating. Let's briefly discuss the conditions of continuity that are not satisfied for each type:

1. Removable Discontinuity: In this case, the function is undefined at the point of interest. However, the limit exists, and if the value of the function is redefined or removed at that point, the function can become continuous.

2. Jump Discontinuity: The function is defined at the point of interest, and the limit exists from both sides, but the value of the function at the point is different from the limit. There is a sudden "jump" in the function's value.

3. Infinite Discontinuity: The function is defined at the point, but the limit diverges to positive or negative infinity as it approaches the point. There is a vertical asymptote or a vertical gap in the function.

4. Oscillating Discontinuity: The function oscillates or fluctuates infinitely as it approaches the point, failing to approach a specific value. The limit does not exist.

By analyzing the behavior of the function and checking if these continuity conditions are satisfied, we can identify the specific condition(s) that are not met and determine the type of discontinuity present.

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Answer:

I drive for 0 hours and my friend drives for 10 hours.

Step-by-step explanation:

\(y > x\)

\(x + y < 15\)

\(70x + 60y \geqslant 600\)

Equation of a line:

9x - 7y = -63

To find the x-intercept we have to substitute y = 0 into the equation, as follows:

9x - 7*0 = -63

9x = -63

Dividing by 9 at both sides of the equation:

9x/9 = -63/9

x = -7

To find the y-intercept we have to substitute x = 0 into the equation, as follows:

9*0 - 7y = -63

-7y = -63

Dividing by -7 at both sides of the equation:

-7y/(-7) = -63/(-7)

y = 9

Answer

x-intercept: −7; y-intercept: 9

In 2013, an Ipsos Global poll conducted for Reuters News found that 63% of 1,000 Canadians supported the legalization of same-sex marriage, who support legalization is 50%, and the alternative hypothesis (Ha: pi not = 0.50) that suggests the population proportion is different from 50%.

a) The standard error measures the variability or uncertainty of the sample proportion compared to the true population proportion. It can be calculated as the square root of (pi * (1 - pi)) divided by the sample size. In this case, the standard error would be computed to estimate the proportion of Canadians who support same-sex marriage.

b) To test the hypothesis, we need to calculate the test statistic. The test statistic for this scenario is the z-score, which is calculated by subtracting the hypothesized population proportion from the sample proportion and dividing it by the standard error. This provides a measure of how many standard errors the observed proportion differs from the hypothesized proportion.

c) By determining the test statistic, we can find the associated p-value. The p-value represents the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true. If the p-value is less than the significance level (e.g., 0.05), we can reject the null hypothesis. In this context, the p-value would indicate the strength of evidence against the claim that the population proportion is 50%.

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The missing information in the proof is a which is option A.

Given d is the mid point of ab and e is the mid point of ac. Coordinates are point a (2b,2c), point e (ab, c), point c (2a, 0),point b (0,0), point d (b, c).

We have to find the missing proof in the solution.

To find the missing figure we have to just find the distance between point d and point e.

Distance formula for determining the distance between two points on a coordinate plane is given as :

d=\(\sqrt{(y_{2} -y_{1} )^{2} +(x_{2} -x_{1} )^{2} }\)

where (\(x_{1} ,y_{1} ) (x_{2} ,y_{2} )\) are the coordinates at the end of line.

DE=\(\sqrt{(a+b-b)^{2} +(c-c)^{2} }\)

Simplifying this we get:

DE=\(\sqrt{(a^{2} +0^{2} }\)

=\(\sqrt{a^{2} }\)

=a

Hence the missing proof is a which is the distance or length of DE..

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Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

between $10 and $20 for undecorated cookies; or between $12 and $25 for cookies

Step-by-step explanation:

a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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Answer:

Step-by-step explanation:

Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.

In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.

This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.

In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.

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Answer:

The length = 5x + 25

Step-by-step explanation:

A = l x w

Answer: 9

Step-by-step explanation:

Answer:

9!

Step-by-step explanation:

Answer:

wouldn't it be 0.1

Step-by-step explanation:

The result of the test is that the assumption that the two population variances are equal is rejected at the 5% significance level, since the p-value is less than 0.05.

The first step is to set up the null hypothesis, which is that the population variances are equal for groups with and without a moderator. Then, we can use an F-test to compare the variances of the two groups. We calculate the F-statistic and its associated p-value. If the p-value is less than 0.05, then we reject the null hypothesis that the population variances are equal at the 5% significance level. In this case, the p-value is less than 0.05, so we reject the null hypothesis and conclude that the population variance is higher for groups with a moderator.The calculation of the F-statistic is as follows: F = (σ2_moderator) / (σ2_no moderator) = (24.4^2)/(20.2^2) = 1.49. The associated p-value is calculated using the F-distribution table, and is less than 0.05.

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Answer:

-----------------------

Let the current ages be x and y.

As per given information we can set up two equations:

Substitute 2y for x into second equation and solve for y:

Find the value of x:

Answer:

Amanda looks to be right?

The required answer considering the given scale are;

i. length of the path on map = 3.6 cm

ii. value of k = 0.02 cm

Scale drawing

A scale is a representative factor that can be used to either increase or decrease the dimensions of a given object.

So that;

scale =  length of drawing/ original length

In the given question, the scale given is a reduced scale.

scale = 1/ 5000

         = 0.0002

Thus;

i. Given that the length of a path is 180 m, the length on the map can be determined by;

     180 m x 0.0002 = 0.036 m

The length on the map = 0.036 x 100

                                       = 3.6 cm

ii. The value of k = length of drawing/  original length

   k  = 1/ 5000

         = 0.0002 x 100

   k = 0.02 cm

The value of k = 0.02 cm.

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we will use the formula of tan(A+B)= (tanA+tanB)/(1-tanAtanB)

and tan(A-B)= (tanA-tanB)/(1+tanAtanB)

tan[(pie/4)+(x/2)]= [1+tan(x/2)]/[1-tan(x/2)] ......(1)

tan[(pie/4)-(x/2)]= [1-tan(x/2)]/[1+tan(x/2)]......(2)

now add the equation (1) and (2) which is LHS of question. So we get:

{[1+tan(x/2)]^2 + [1- tan(x/2)]^2}/1-tan^2(x/2)=2[1+tan^2(x/2)]/1-tan^2(x/2)= 2/cosx = 2secx =RHS

Hence proved.

Answer: The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Step-by-step explanation:

EDGE2021

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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The solution to the equation is n = -2.

To solve the equation 30 = -5(6n + 6) step-by-step, follow these procedures:

Step 1: Distribute the -5 on the right side:

30 = -5 * 6n - 5 * 6

Step 2: Simplify the right side:

30 = -30n - 30

Step 3: Move constant term to one side:

30 + 30 = -30n

Step 4: Combine like terms:

60 = -30n

Step 5: Divide both sides by -30 to isolate 'n':

n = 60 / -30

Step 6: Simplify the right side:

n = -2

The solution to the equation is n = -2.

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The 4 questions to answer the problem are:

The question that will be used to answer this question will be a new question as follows:

In 1997, there were 85,000 Netflix subscribers. The number of subscribers increased at a rate of 13.4% each year.

From the question above, we have the following:

Inital subscribers, a = 85 thousand

Rate of increase, r = 13.4%

Using the above as a guide, we have the following:

The function of the situation is

f(x) = a * (1 + r)ˣ

So, we have the following representation

f(x) = 85 * (1 + 13.4%)ˣ

This gives

(a) f(x) = 85 * (1.134)ˣ

(b) The graph is attached

(c) The initial value is 85

(d) The rate of change is 13.4%

Hence, the function is f(x) = 857000 * (1.134)ˣ

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