Greg installed a circular drain that has a diameter of 4.8 inches. To the nearest tenth of an inch what is circumference of the drain

The next number of the sequence 167,118,82,57,41 is 32.

167, 118, 82, 57, 41

Sequence are list of items that follows a particular order.  

Therefore, let's study the sequence and use it to determine the next number.

Therefore,

167 - 118 = 49 = 7²

118 - 82 = 36 = 6²

82 - 57 = 25 = 5²

57 - 41 = 16 = 4²

41 - 32 = 9 = 3²

learn more on sequence here: https://brainly.com/question/26013414

Although the options related to your question is missing attached below is the transformation matrix

A transformation matrix alters the original coordinate system of a matrix from x, y to  x' , y' ( i.e. the inverse value of x and y )

Given transformation matrix :

\(T = \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\)

   \(= \left[\begin{array}{ccc}1&0\\0&-1\\\end{array}\right]\left[\begin{array}{ccc}x\\y\\\end{array}\right]\) \(= \left[\begin{array}{ccc}x\\-y\\\end{array}\right]\)

From the diagram in the question

x = -2 , y = 4

hence ; T( -2, 4 ) = ( -2, -4 )  

attached below is the transformation matrix showing the application of t to v

learn more : https://brainly.com/question/22378074

Answer:

A

Step-by-step explanation:

Edg 2021

Answer:

A:The Reqd. No. of Permutations=3360

Step-by-step explanation:

I couldn’t find the answer to B..sorry

Answer:

C

Step-by-step explanation:

Answer:

      ESCAPES

Step-by-step explanation:

Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)

Answer:

D. (16, 16)

Step-by-step explanation:

[(-1×8)+(4×6) , (2×8)+(0×6)]

[(-8 + 24) , (16 + 0)]

= [16 , 16]

Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.

Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.

Positive Results/Total Results = x/n = Probability (Event)

The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:

P (18-29 and no) = 293/(134 + 293 + 117) = 0.536

The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:

P (30+ and no) = 432/(131 + 432 + 178) = 0.654

The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:

P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265

Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.

To know more about Probability, visit:

brainly.com/question/16722133

#SPJ1

The complete question is:

Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?

The fraction of the area of polygon H of polygon G's area would be: 1/16.

When a polygon is formed by enlarging or reducing an original polygon by a scale factor, the new polygon formed is similar to the original polygon.

The scale factor = new dimension/original dimension

Given that polygon H is the new polygon formed when polygon G is reduced by a scale factor of 1/4, thus, we would have the following:

Area of polygon H/Area of polygon G = square of the side of polygon H/square of the side of polygon G = square of the scale factor of dilation

Area of polygon H/Area of polygon G = 1²/4² = 1/16

This implies that the area of polygon G is 16 units² while the area of polygon H is 1 units².

Thus, the fraction of the area of polygon H of polygon G's area would be: 1/16.

Learn more about area of similar polygons on:

https://brainly.com/question/4114291

#SPJ1

The linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given function is f(x)=24x³+14x²-11x-6 and one of the factor is (2x+1).

Here, 24x³+14x²-11x-6 can be written as 24x³+12x²+2x²+1x-12x-6

12x²(2x+1)+1x(2x+1)-6(2x+1)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+1x-6)

= (2x+1)(12x²+9x-8x-6)

= (2x+1)[3x(4x+3)-2(4x+3)]

= (2x+1)(4x+3)(3x-2)

Therefore, the linear factors of the given polynomial is (2x+1)(4x+3) and (3x-2).

To learn more about the factorization visit:

https://brainly.com/question/26923098.

#SPJ9

Answer:

first option

Step-by-step explanation:

The perimeter is the distance around the composite shape, which is composed of a rectangle and a semi- circle.

P = 12 + 16 + 12 + πr ← ( rectangle and semi- circle )

   = 40 + (3.14 × 8)

    = 40 + 25.12

    = 65.12 in

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

A = (16 × 12) + (0.5πr² ) ← rectangle and semi- circle

   = 192 + 0.5 × 3.14 × 64)

    = 192 + 100.48

    = 292.48 in²

Answer:

A

Step-by-step explanation:

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

a. It represents the spread of the middle 50% of the data.

b. At least 50% of the students scored between 80 and 86.

c. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

How evenly distributed the middle 50% of the data is is determined by the interquartile range. In order to calculate it, the first quartile is subtracted from the third quartile.

A. The interquartile range (IQR) in a box-and-whisker plot is the distance between the first quartile (Q1) and the third quartile (Q3) of the data. It represents the spread of the middle 50% of the data.

B. To determine what percent of the students got 80% or higher, we need to find the upper fence, which is defined as 1.5 times the IQR above Q3. From the box-and-whisker plot, we can see that Q3 is approximately 86 and Q1 is approximately 71. Therefore, the IQR is 86 - 71 = 15. The upper fence is 1.5 * 15 + 86 = 108.5.

Looking at the plot, we can see that there are no data points above 100, so we can safely assume that no students scored above 100%. The highest score is 94, which is within the whiskers of the box-and-whisker plot. Therefore, we know that the percent of students who scored 80% or higher is between the percent of students who scored 80% or higher and the percent of students who scored 94% or higher.

From the plot, we can see that the median is approximately 80 and the third quartile (Q3) is approximately 86. This means that at least 50% of the students scored between 80 and 86. Additionally, we know that the maximum score is 94, so we can say that at least some students scored higher than 86. However, we don't know how many students scored between 86 and 94.

C. Based on the interquartile range, we can say that the middle 50% of the students scored between approximately 71 and 86. This suggests that there is a significant amount of variability in the test scores, as the range is quite wide. Additionally, we know that at least some students scored above 86, but we don't have enough information to determine how many or how high their scores were. Overall, we can say that the Math 6 class had a range of test scores, with some students performing very well and others performing less well.

To know more about interquartile range visit :-

https://brainly.com/question/29165499

#SPJ1

Step-by-step explanation:

16 - 10 × 1/5 + 13

16 - 5 + 13

11 + 13

24

Step-by-step explanation:

10/5=2

16-2+13=27.

d. 27

The elapsed time between 12:15 A.M. and 2:15 P.M. is 14 hours.

What is elapsed time?

Elapsed time is the amount of time that has passed between a starting point and an ending point. It is the difference between the ending time and the starting time. Elapsed time can be calculated for any duration of time, from seconds to hours, days, or even years.

To find the elapsed time between 12:15 A.M. and 2:15 P.M., we need to calculate the number of hours and minutes that have passed.

First, we need to convert the time to a 24-hour clock format.

12:15 A.M. can be represented as 00:15 and 2:15 P.M. can be represented as 14:15.

We can then subtract the start time from the end time to find the elapsed time:

14:15 - 00:15 = 14 hours

Therefore, the elapsed time between 12:15 A.M. and 2:15 P.M. is 14 hours.

To know more about elapsed time visit:

brainly.com/question/29775096

#SPJ1

Answer:

the product of the decimal equivalents of all discount in the series

Answer:

So 4 ÷ 1/5 = 4 × 5. So your answer is 5.

Answer:

7((x-2)(3x+4))

Step-by-step explanation:

Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product.  You get 7((x-2)(3x+4))

Answer:

down here

Step-by-step explanation:

Area = 1/2(9x16) = 1/2 x 126 = 63 sq inches

Perimeter = 16 + 12 + 12 = 40 inches

The magnitude of the angular acceleration of the cylinder is (ω2 - ω1) / t and its direction is the same as the direction of the angular velocity.

The angular acceleration of the cylinder is the rate of change of the angular velocity. It is a vector quantity and can be calculated using the formula α = Δω/Δt. Here, α is the angular acceleration, Δω is the change in angular velocity and Δt is the change in time.

To calculate the magnitude and direction of the angular acceleration, we need to know the change in angular velocity and the time taken for this change. Let us assume that the angular velocity of the cylinder increases from ω1 to ω2 in time t. Then the magnitude of the angular acceleration (α) is given by

α = (ω2 - ω1) / t

The direction of angular acceleration is the same as the direction of the angular velocity. This means that if the angular velocity is increasing, the angular acceleration is in the same direction. On the other hand, if the angular velocity is decreasing, the angular acceleration will be in the opposite direction.

The magnitude of the angular acceleration of the cylinder is (ω2 - ω1) / t and its direction is the same as the direction of the angular velocity.

Learn more about angular acceleration of the cylinder here:

https://brainly.com/question/16134180

#SPJ4

An initial investment of $5,951.71 is needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly.

To determine the amount of money needed to accumulate $7,000 in 4 years with 2.5% annual interest compounded quarterly, we need to use the formula for compound interest.

The formula is A = P(1+r/n)^(nt), where A is the final amount, P is the initial investment, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

Using the given information, we can plug in the values and solve for P. A = $7,000, r = 0.025, n = 4, and t = 4.

A = P(1+r/n)^(nt)

A = P(1+0.025)^4
$7,000 = P(1+0.025/4)^(4*4)
$7,000 = P(1.00625)^16
P = $5,951.71
To learn more about : investment

https://brainly.com/question/29227456

#SPJ8

\(\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \log_8(x)-\log_8(7)=\log_8\left( \cfrac{5}{7} \right)\implies \log_8(\stackrel{x }{5})-\log_8(7)=\log_8\left( \cfrac{5}{7} \right)\)

Answer:

none of the answer are correct

Step-by-step explanation:

Answer:

so i'm not sure if it's either : the number of girls in school or none of the above

Step-by-step explanation:

Answer:

Steps To Convert From Base 10 to Base 2-

Divide the given number (in base 10) with 2 until the result finally left is less than 2.

Traverse the remainders from bottom to top to get the required number in base 2.

Hope this helps you get the answers!

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

(a)

The given parameters are:

(b)

The formula to find the margin of error for a 90% confidence interval is given below:

Substitute the value from part (a), to get

Thus, the margin of error is 3.7832.

(d)

The given sample's confidence interval is,

So, the confidence interval is (51.42 to 58.98).

(d)

For 90% confidence interval, the mean weight of chicken consumption is between 51.42 pounds and 58.98 pounds.