Find the volume of the solid obtained by rotating the region bounded by the curves x+3y + 2 = 0 and x = y2 about the specified axis. (1) About the x-axis; (2) About the y-axis.

Answer: $5.06

Step-by-step explanation:

Jim charges 1.3 times the price that Rays charges so Jims market price for Peanut butter is:

= 3.89 * 1.3

= $5.057

= $5.06

Answer:

coordinates for vertex are (5, -9)

Step-by-step explanation:

Given

\(a=1\\\\b=-10\\\\c=16\)

using the formula for the x coordinate of the vertex which is \(\frac{-b}{2a}\) it yields:

\(x_{vertex}=\frac{-(-10)}{2}=5\)

We now have the x-coordinates of the vertex, by applying the x coordinate in the equation we get:

\(5^2-(10\times 5)+16\\\\=25-50+16\\\\=-9\)

thus the \(y_{vertex}=-9\)

Thus the coordinates of the vertex should be (5, -9)

Answer:

To calculate the total amount, first find out how much you contribute and then add the amount your employer contributes.

Your contribution: 10% of $50,000

= ($50,000 * 10) / 100

= $5,000

Employer's contribution: 3% of $50,000

= ($50,000 * 3) / 100

= $1,500

Total contribution:

= Your contribution + Employer's contribution

= $5,000 + $1,500

= $6,500

So, the total amount being put away in your account each year is $6,500.

Step-by-step explanation:

Answer:

Spanish?

Step-by-step explanation:

I speak english

Answer:

a - 8^2

b-2^8

c-4^2

d-2^4

Answer:

The first on the left is the last one on the right, the second on the left is the second on the right, the third on the left is the third on the right, and the fourth on the left is the first on the right. Hope this helps.

Step-by-step explanation:

Answer:

s = \(\sqrt{81\\\) in.

Step-by-step explanation:

The last two answer don't fit into the given equation, leaving the first two.  For the first one, you do not use the square root of a number that is being squared. That's like saying you're going to fix a car, but the car is just fine and doesn't need fixed.

If you're at all curious about what the square root of 81 is, it's 9.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

Answer:

\( s = \sqrt{81} \: in\)

Step-by-step explanation:

\(\because A = s^2 \\ \therefore \: s = \sqrt{A} \\ \therefore \: s = \sqrt{81} \: in\)

This may be computed by dividing his hitting % by the number of times he bats (20). (0.8). 20 x .8 = 16

Percentage:

a: a part of a whole expressed in hundredths a high percentage of students attended.

b: the result obtained by multiplying a number by a percent the percentage equals the rate times the base.

c: a share of winnings or profits.

If Henrie hits 80% of the time he's at bat, and he is up to bat 20 times this weekend, he is expected to hit 16 times. This can be calculated by multiplying the number of times he is up to bat (20) by his hitting percentage (0.8). 20 x .8 = 16

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Since the given functions represent the cost for water and sewer separately, the total cost will be the sum of both.

For water usage, W(x) = 0.129x, where x is the number of 100-gallon units of water used. So, for 3800 gallons, we have:

W(x) = 0.129 * (3800/100) = $4.91 (rounded to the nearest cent)

For sewer usage, S(x) = 0.158x + 16.22, where x is the number of 100-gallon units of water used. So, for 3800 gallons, we have:

S(x) = 0.158 * (3800/100) + 16.22 = $21.12 (rounded to the nearest cent)

Therefore, the total amount a homeowner will pay for 3800 gallons of water and sewer usage for one month is:

Total cost = W(x) + S(x) = $4.91 + $21.12 = $26.03 (rounded to the nearest cent)

So, the closest answer choice is C. $27.13.

Here is the summary of the relation J on all integers:

a. 1 J 2 : No

b. 2 J 1 : Yes

c. 3 J 6 : Yes

d. 17 J 51 : No

e. Another example of x and y in relation J: 4 J 12 (4 is related to 12 under relation J)

To define a relation J on all positive integers is following:

a. No, 1 is not a factor of 2, so 1 does not divide 2.

Therefore, 1 is not related to 2 under relation J.

b. Yes, 2 is a factor of 1 (specifically, 2 divides 1 zero times with a remainder of 1), so 2 divides 1.

Therefore, 2 is related to 1 under relation J.

c. Yes, 3 is a factor of 6 (specifically, 3 divides 6 two times with a remainder of 0), so 3 divides 6.

Therefore, 3 is related to 6 under relation J.

d. No, 17 is not a factor of 51, so 17 does not divide 51.

Therefore, 17 is not related to 51 under relation J.

e. Let's choose x = 4 and y = 12.

Then we need to check if x divides y. We can see that 4 is a factor of 12 (specifically, 4 divides 12 three times with a remainder of 0), so 4 divides 12.

Therefore, 4 is related to 12 under relation J.

To summarize:

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:A. \:\: 10\)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } = 102\)

[ subtract 2 from both sides ]

\(\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } - 2 = 102 - 2\)

\(\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } - \bigg( 2 \sdot x \sdot \cfrac{1}{x} \bigg)= 100\)

[ 2 can written like that, as they cancel out each other ]

Apply Identity [ a² + b² -2ab = (a - b)² ]

\(\qquad \tt \rightarrow \: \bigg (x - \cfrac{1}{x} \bigg) {}^{2} = 100\)

\(\qquad \tt \rightarrow \: x - \cfrac{1}{x} {}^{} = \sqrt{100}\)

\(\qquad \tt \rightarrow \: x - \cfrac{1}{x} {}^{} = 10\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

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

Using the formula for the union of two sets:

where

We are given that:

Plugging in the values, we get:

Therefore, set B contains 42 elements.

The probability of ml1 is 0.890, or 89.0% the specificity or probability of ml2 is 0.993, or 99.3% to three significant digits

To find the sensitivity of ml1, we need to look at the true positive rate, which is the probability of the machine learner predicting an intrusion given that an intrusion actually occurred. This can be found from the table as:

sensitivity = P(ml1 predicts intrusion | intrusion) = 0.0129/(0.0129 + 0.0016) = 0.890

Therefore, the probability of ml1 is 0.890, or 89.0% (to three significant digits).

To find the probability of ml2, we need to look at the true negative rate, which is the probability of the machine learner predicting a valid user given that a valid user is actually using the system. This can be found from the table as:

specificity = P(ml2 predicts valid user | valid user) = 0.985/(0.985 + 0.007) = 0.993

Therefore, the specificity of ml2 is 0.993, or 99.3% (to three significant digits).

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To solve this problem let's draw a picture.

We must compare ratios between the two rectangles. Like this.

For the first rectangle we may write:

12 / 5

For the second one we get:

24 / 15

But we can simplify that. Divide numerator and denominator by 3. We have:

24 / 15 = 8 / 5

Comparing both fractions:

12 / 5 ≠ 8 / 5

Answer: The new rectangle won't be proportional to the original.

The standard deviation of the sampling distribution of m is 2.03/√2 = 1.44.

Sampling distribution of m can be generated by drawing samples from a particular population, calculating the mean of each sample, and then evaluating the sampling distribution of the mean. The mean of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 is 5.5, and the true standard deviation is 2.87.The experiment is carried out by rolling a ten-sided die twice (or two ten-sided dice one time) and calculating the mean of the sample. The population is made up of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. The number of feasible sample sets, each of size n, is given by n!/(n-r)!r!, where n denotes the population size, and r represents the size of each sample set. Given that the population is composed of ten members, there are 100 potential sample sets of size two that may be chosen. We calculate the mean for each of these 100 samples to develop the sampling distribution of m.Next, calculate the mean of each of the 100 sample sets. The sample means will be normally distributed, with a mean of 5.5 and a standard deviation of (2.87)/√n. If n equals 2, the sample means will be normally distributed, with a mean of 5.5 and a standard deviation of 2.03. The following is the formula for calculating the standard deviation of the sampling distribution of m:σ/√nThe following is the formula for calculating the standard deviation of the sampling distribution of m:σ/√n

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Answer:

The first will be 16.6

The second will be 29

Step-by-step explanation:

Hope this Helped

\(5x + 7 = 90\)

\(3x + 3 = 90\)

We cannot determine which of the two options is the best one to get admitted to Yale.

In 2017, the mean of SAT scores in Ohio was 1149 with a standard deviation of 212. To get admitted to Yale, you need to score 1460 in the SAT or 33 in the ACT. So which of the two options is the best one to get accepted to Yale?

Solution: Given that the mean SAT scores in Ohio in 2017 was 1149, with a standard deviation of 212. Therefore, the normal distribution of SAT scores can be written as N (1149, 212).To get accepted into Yale, you need an SAT score of 1460 or an ACT score of 33.Because SAT scores are normally distributed, we can find the probability of scoring 1460 or higher by converting this score to a z-score. Using the formula below;Z = (X - µ)/σwhere X = 1460, µ = 1149 and σ = 212Z = (1460 - 1149)/212Z = 1.47Using the normal distribution table, we can find that the probability of obtaining a z-score of 1.47 or more is approximately 0.429. Therefore, the probability of obtaining a score of 1460 or higher on the SAT is 0.429.However, if you take the ACT instead, you will need to score at least 33. Unfortunately, we don't have enough information to compare the probability of scoring 33 or higher on the ACT to the probability of scoring 1460 or higher on the SAT. Therefore, we cannot determine which of the two options is the best one to get admitted to Yale.

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The given mean and standard deviation can be used to calculate the z-score of a student's SAT score. The z-score will tell us how many standard deviations a student's score is above or below the mean. To find which test score (SAT or ACT) would give you a better chance of getting into Yale, we will need to convert the ACT score to an equivalent SAT score and then compare that to your SAT score converted to a z-score.

SAT scores are normally distributed in Ohio in 2017 with mean = 1149 and standard deviation = 212.To get accepted into Yale, you need an SAT score of 1460 or an ACT score of 33.Z-score of 1460 can be calculated as below:z = (x - μ) / σwhere x = 1460, μ = 1149 and σ = 212.z = (1460 - 1149) / 212z = 1.4747So, a student needs to score 1.4747 standard deviations above the mean to get into Yale.Using the standard normal distribution table, we can find that the probability of a randomly selected student scoring higher than 1.4747 standard deviations above the mean is approximately 7.6%.This means that if a student scores a 1460 on the SAT, they would be in the top 7.6% of all test-takers in Ohio in 2017.Now, we need to find the equivalent SAT score of an ACT score of 33. According to the College Board, the equivalent SAT score for an ACT score of 33 is 1460. So, if a student scores a 33 on the ACT, they would be in the top 1% of all test-takers, and this score would be equivalent to a 1460 on the SAT.Therefore, if a student can score a 33 on the ACT, they would have a better chance of getting into Yale than if they scored a 1460 on the SAT.

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Answer:

hjjjbcujnkknvcczynmcs

The summary of the ruler placement postulate is given as:

This states that the points of a line can be matched and correspond to a set of points on the line and the set of real numbers,

Therefore, based on the fact that your question is incomplete, a general overview of the ruler placement postulate is given to give you a better understanding of the concept.

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Answer: You can measure the positive distance  between points A and B by using either point as zero

Step-by-step explanation:

The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

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Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

Answer:

Step-by-step explanation:

that a huge prob but yah

Answer:

D

Step-by-step explanation:

The sound intensity of the pile driver is 39.6 times that of jack hammer as per given data.

As given in the question,

L represents the loudness in decibels(dB)

I = sound intensity in watts/m²

Loudness of pile driver = 112dB

In terms of sound intensity it is equal to = (112 / 10)

                                                                   = 11.2

Sound intensity in power of 10

10^(11.2) = I / 10^(-12)

⇒ I = 10^(11.2)×  10^(-12)

⇒ I = 10^( 11.2 - 12)

⇒ I = 10^(- 0.8)

⇒ I = 0.15848

⇒ I = 0.1585

Relation between  the sound intensity of pile driver and th jack hammer is given by

Sound intensity of jack hammer = 0.004

Sound intensity of pile driver = 0.1585

Intensity = 0.1585 / 0.004

              = 39.6 ( nearest tenth digit )

Therefore, the sound intensity of pile driver is 39.6 times that of jack hammer.

The above question is incomplete, the complete question is :

L = loudness, in decibels (dB); I = sound intensity, in watts/m2; I0 = 10−12 watts/m2

The loudness of a jack hammer is 96 dB. Its sound intensity is about 0.004.

The loudness of a compactor is 94 dB. Its sound intensity is about 0.0025.

The sound intensity of the jack hammer is about 1.6 times the sound intensity of the compactor.

The loudness of a pile driver is 112 dB. About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.

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The long run behavior of the function f(x)=5(2)x+1 is that it approaches 1 as x approaches negative infinity and it approaches infinity as x approaches positive infinity.

The long-term behavior of the function f(x)=5(2)x+1 can be discovered by examining how the function behaves as x gets closer to negative and positive infinity.

As x→−[infinity], f(x) = 5(2)^ -∞+1 = 5(0)+1 = 1

As x approaches negative infinity, the value of the function approaches 1.

As x→[infinity], f(x) = 5(2)^ ∞+1 = 5(∞)+1 = ∞

As x approaches positive infinity, the value of the function approaches infinity.

As a result, the function f(x)=5(2)x+1 behaves in the long run in such a way that it approaches 1 as x approaches negative infinity and infinity as x approaches positive infinity.

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Therefore , using  pigeonhole principle we get 101 students must be present to guarantee that at least three students.

According to the pigeonhole principle, which is used in discrete mathematics, some pigeonholes must contain two or more pigeons if we must fit expression N + 1 or more pigeons into N Pigeon Holes. An illustration would be if there were Kn+ 1 pigeons dispersed across n holes, where K is a positive variable, and at least K + 1 pigeons were present in each hole.

Here,

You must do the math first. Add one to the result after (n-1)/m.

Now, if you compare this question, you will see that students (pigeons) and states are holes, and given that at least three students must originate from the same state, the answer is three. Divide (n-1)/m and add 1 to the result if you looked at the previous example.

Now, if you go through the process backwards, you must first subtract 1 from the results

(it is 3-1 = 2), multiply by 50 (m = 50), which becomes

(m*2 = 100), and then add 1 again (n-1 makes 1 go to the right side, making it Plus)...

N = 101 is the result.

Therefore , the 101 students must be present to guarantee that at least three students.

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The solution for this problem is:

Let x be the number of months; and

Let y be the amount paid

We know that m is $199 per month and the two other given are 6 months and 2694.

y = 199 (x -6) + 2694

y = 199 (36 -6) + 2694

y = 199 (30) + 2694

y = 8664

Mr. Scott paid $8664 after 3 years.

Answer:

D. 2^7

Step-by-step explanation:

Answer:

2^7

Step-by-step explanation:

When we multiply the same bases with exponents like 2^3*2^4 we can add the exponents and keep the base the same

2^7 would be the answer or you can simplify further to get 128

but they said simplify so 2^7 is the answer

If they said evaluate then our answer is 128

Answer:

x=5

Step-by-step explanation:

Answer:

The bottle will last for 20 days.

Step-by-step explanation:

Given that:

Number of drops in a dose = 4 drops

Dose is taken three times a day, therefore,

Number of drops taken in a day = 4*3 = 12 drops

One milliliter = 20 drops

12 mL = 20*12 = 240 drops

Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.

Number of days bottle will last = \(\frac{240}{12}=20\)

Hence,

The bottle will last for 20 days.

Parts (a) and (b) are functions since they pass the vertical line test.

Part (c) is not a function. It fails the vertical line test since it is possible to pass a single vertical line through more than one point on the curve. In other words, some x input leads to more than one y output. A function can only have one output for any given input.

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

The domain of part (a) is the set of all real numbers. We can plug in any value for x. The domain in interval notation is (-infinity, infinity) as this describes the entire real number line. The domain is the set of all possible inputs.

The range for part (a) is the set of y values such that \(1 \le y \le 3\) because the lowest points are when y = 1 and the highest points are when y = 3. The range is the set of all possible outputs. The range in interval notation is [1, 3]. Note the use of square brackets to include the endpoint.

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

The domain for part (b) is also the set of real numbers. The reasoning is the same as part (a).

The range of part (b) is \(y \ge 0\) since y = 0 is the lowest y possible output, and there is no largest output y value. The range in interval notation is [0, infinity).

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

The domain of part (c) is different from the others. On this graph, the left-most point is when x = -2, so the domain is the set of real x values such that \(x \ge -2\) which translates to [-2, infinity) in interval notation.

The range of part (c) is the set of all real numbers. Any y value is a possible output because the parabola stretches upward and downward forever.