which sentence from this introduction paragraph is most clearly providing background

Answer:

Step-by-step explanation o:

Answer:

The radius of these cylinders is approximately 1 foot.

Step-by-step explanation:

According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

\(V \propto h\)

\(V = k\cdot h\) (1)

Where:

\(V\) - Volume of the cylinder, in cubic feet.

\(h\) - Height of the cylinder, in feet.

\(k\) - Proportionality constant, in square feet.

Besides, the proportionality constant is described by this expression:

\(k = \pi \cdot R^{2}\) (2)

Where \(R\) is the radius of the cylinder, in feet.

If we know that \(h = 9\,ft\) and \(V = 28.26\,ft^{2}\), then the radius of the cylinder is:

\(k = \frac{V}{h}\)

\(k = 3.14\)

\(R = \sqrt{\frac{k}{\pi} }\)

\(R \approx 1\,ft\)

The radius of these cylinders is approximately 1 foot.

Answer:

completing the division operation: numerator divided by denominator.

Step-by-step explanation:

If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Answer:

the answer to this question is seven

Answer:

C = A/d - b/d or C = (A - b)/d

Step-by-step explanation:

A = b + cd

A - b = cd

A/d - b/d = c

Answer:

c

Step-by-step explanation:

Answer:

\(k<1, k>5\)

Step-by-step explanation:

\(3x+1=x^2+kx+2 \\ \\ x^2+x(k-3)+1=0 \\ \\ \Delta>0 \implies (k-3)^2-4(1)(1)>0 \\ \\ (k-3)^2-2^2>0 \\ \\ (k-1)(k-5)>0 \\ \\ k<1, k>5\)

The fraction is 23/27.

Let the numerator and denominator of the given fraction be x and y respectively.

According to the question,

Case 1 :-

Denominator of the fraction is 4 more than the numerator.

⇒ Numerator = Denominator - 4

⇒ x = y - 4 ...(1)

Case 2 :-

If 1 is added to numerator and 2 is subtracted from denominator fraction becomes 24/25

⇒ (Numerator + 1) / (Denominator + 2) = 4/5

⇒ (x + 1) / (y - 2) = 24/25

⇒ 25(x + 1) = 24(y - 2)

⇒ 25x + 25 = 24y - 48

⇒ 25x - 24y = -73 ...(2)

Substituting the value of x from (1) in (2), we have

⇒ 25(y - 4) - 24y = -73

⇒ 25y - 100 - 24y = -73

⇒ y = -73 + 100

y = 27

substitute the value of y in equation 1.

x = 27 - 4

x = 23

Now, At the beginning of our solution we took the numerator & denominator to be x & y respectively. So the fraction is:

⇒ x / y

⇒ 23/27

Hence the fraction is 23/27.

Learn more about Fractions here:

brainly.com/question/11562149

#SPJ9

For Jess, it would be better to take the 0% financing deal instead of the $1,500 cash back deal if she plans on financing the car for 4 years (or 48 months). This is because if she takes the cash back offer, her loan interest rate would be 3% from the bank which would make her monthly payment $383.57 and her total interest paid over 4 years $1,322.96 ¹. However, if she doesn't take the cash back and gets a 0% interest rate on her loan from the dealership, her monthly payment would be $354.17 and she wouldn't have to pay any interest over 4 years ¹.

Source:

Answer:Measure

Angle

48°

А

B

(6. - 28)

(2x)

С

Find the value of x. Then find the measures of angles B and C

Enter your answers in the boxes.

mZB=

O

mZC =

o

Step-by-step explanation:

Answer:

\(100.00 \div 6 \)

The probability that the youngest member of the group sits in the seat closest to the door 1 / 6

Given that, a group of 6 friends of varying ages meets at a coffee shop and sits in a circle, we need to find the probability that the youngest member of the group sits in the seat closest to the door,

So, the probability = favorable outcomes / total outcomes

Here, the favorable outcome = 1

The total outcomes = 1, 2, 3, 4, 5, 6 = 6

So, the probability = 1/6 = 1/2

Hence, the probability that the youngest member of the group sits in the seat closest to the door 1 / 6

Learn more about probability click;

https://brainly.com/question/30034780

#SPJ2

Answer:

I think is: odd

Step-by-step explanation:

Answer:

Here,

D(1,2)

Now,

(X+1 , y-3)

D' (1+1 , 2-3)

D'( 2, -1)

Hope this helps...

Good luck on your assignment..

I'll answer the other three just in case :)

original : A = ( -6 , 2 )

formula : ( x+1 , y-3 )

( -6 + 1 ) , ( 2 - 3 )

A = ( -5 , -1 )

_________________

original : B = ( -5 , 4 )

formula : ( x+1 , y-3 )

( -5 + 1 ) , ( 4 - 3 )

B = ( -4 , 1 )

_________________

original : C = ( -2 , 4 )

formula : ( x+1 , y-3 )

( -2 + 1 ) , ( 4 - 3 )

C = ( -1 , 1 )

The value of an angle in radians that corresponds to a given trigonometric function value can be found using the inverse trigonometric functions.

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied.

In this case, since sinθ = 1/2, we can use the inverse sine function, denoted as sin^-1, to find the value of θ:

θ = sin^-1 (1/2)

Note that the inverse sine function returns an angle in the range of [−π/2, π/2].

The actual value of the angle may also lie in other ranges, depending on the context in which it is used.

Read more about trigonometry here:

https://brainly.com/question/24349828

#SPJ1

Answer:

Part A: So the solution for 4 = 2x-1 is -2. Why they're intersecting is because x is -0.5 in both cases. 2/4, as we already know, is 0.5. Since, this -2/4, we can just make 0.5 negative, so -0.5. -0.5 times 4 = -2, so x is -0.5. For y = 2x-1, multiply -0.5 by 2, which would get you -1. Then after that subtract 1, for -2.

Part B:

Well, notice how none of the entries for y = 4x and y = 2x-1 match. That would mean the answer wouldn't be an integer. (Attachment is the table)

Part C:

First, graph both y = 4x and y = 2x-1. After that, find where the two equations' y-coordinates are the same (So, on a graph, where they intersect.). The y-coordinate in common is your answer.

Answer:

A: the intersection represents the answer because the place where it intersects is where the equations have the same x values.

B:  they intersect at the point (0,1)

C: plot the equations on an online graph and solve, Its almost impossible to draw an accurate continuing graph for an exponential equation. I recommend desmos.

Step-by-step explanation:

I have a graph for part B.

Answer:

Step-by-step explanation:

Use the area formula:

\(\\ \sf\longmapsto Area=LB\)

\(\\ \sf\longmapsto Area=10\dfrac{3}{4}\times 8\dfrac{1}{2}\)

\(\\ \sf\longmapsto Area=\dfrac{43}{4}\times \dfrac{17}{2}\)

\(\\ \sf\longmapsto Area=\dfrac{731}{8}\)

\(\\ \sf\longmapsto Area=91\dfrac{3}{8}ft^2\)

The following is an assembly program that calculates the value of the given polynomial, assuming signed integers x and y are stored in register r2 and r3, respectively.

\(```.LIST.ALIGN 4    .GLOBAL _start_start:    PUSH {R4, R5, LR}\)
   \(MOV R4, R2        // R4 < - x    MOV R5, #2        // R5 < - 2\)\(MUL R4, R4, R4    // R4 < - x^2    MUL R4, R4, R5    // R4 < - 2x^2    MOV R5, #3        // R5 < - 3\)
  \(ADD R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2    MOV R5, #5        // R5 < - 5    MUL R5, R5, R2    // R5 < - 5x\)
  \(SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x    MOV R5, #11       // R5 < - 11    SUB R4, R4, R5, LSL #16    // R4 < - 2x^2 + 3x^2 - 5x - 11\)
  \(MOV R3, R4        // R3 < - y    POP {R4, R5, PC}.END```\)

Explanation: The polynomial is given as

\(`y = 2x^4 + 3x^2 - 5x - 11`.\)

To calculate this polynomial in assembly language, we need to perform the following steps:

Load the value of `x` into a register. We assume that `x` is stored in register `r2`.

Calculate \(`2x^2`\) and add \(`3x^2`\) to it. We first square the value of `x` by multiplying it with itself and then multiply it with `2`. We then add \(`3x^2`\) to this result. We store this result in register `r4`.

Calculate `5x` and subtract it from the result of step 2. We first multiply the value of `x` with `5` and then subtract it from the result of step 2. We store this result in register `r4`.

Subtract `11` from the result of step 3. We subtract `11` from the result of step 3 and store this result in register `r4`.

Load the value of `y` into a register. We assume that `y` is stored in register `r3`.

Return from the subroutine. We pop the registers from the stack and return from the subroutine.

The assembly program that is used to calculate the value of a given polynomial assuming signed integers x and y are stored in registers r2 and r3, respectively. The polynomial given is\(y = 2x4 + 3x² - 5x - 11\). In this assembly program, we load the value of x into a register, calculate 2x^2, add 3x^2 to it, subtract 5x from the result, and subtract 11 from the final result. The value of y is then stored in a register, and we return from the subroutine.

This assembly program is designed for 32-bit ARM architecture, and it can be run on any ARM processor. The program is written in ARM assembly language, which is a low-level programming language used to write programs that run on ARM processors. It is a complex language that requires a deep understanding of the processor architecture and instruction set.

In conclusion, the assembly program presented here can be used to calculate the value of a given polynomial using signed integers x and y stored in registers r2 and r3, respectively. This program can be adapted to calculate other polynomials or perform other arithmetic operations on ARM processors. It is a powerful tool for low-level programming and optimization, but it requires a significant amount of expertise to write and debug.

To know more about polynomial visit:

brainly.com/question/11536910

#SPJ11

for a confidence interval for a population parameter (e.g., the population mean) computed at a 91% confidence level, what proportion of all possible confidence intervals will contain the true parameter value?

For a confidence interval computed at a 91% confidence level, the proportion of all possible confidence intervals that will contain the true parameter value is 0.91.

Learn more about confidence interval  here:

https://brainly.com/question/32546207

#SPJ11

Yes. it is important to note that every person's body is different, and it is essential to consult with a healthcare professional before starting any new exercise routine to ensure it is safe and appropriate for them.

Based on the given formula, Alice is increasing her distance by 1 mile per week, which results in a total of 52 miles at the end of one year. This increase in distance is reasonable and achievable for most individuals, especially if they are already physically active and gradually increasing their mileage. However, it is important to note that every person's body is different, and it is essential to consult with a healthcare professional before starting any new exercise routine to ensure it is safe and appropriate for them.

Learn more about essential here: brainly.com/question/30548338

#SPJ11

Yes. it is important to note that every person's body is different, and it is essential to consult with a healthcare professional before starting any new exercise routine to ensure it is safe and appropriate for them.

Based on the given formula, Alice is increasing her distance by 1 mile per week, which results in a total of 52 miles at the end of one year. This increase in distance is reasonable and achievable for most individuals, especially if they are already physically active and gradually increasing their mileage. However, it is important to note that every person's body is different, and it is essential to consult with a healthcare professional before starting any new exercise routine to ensure it is safe and appropriate for them.

Learn more about essential here: brainly.com/question/30548338

#SPJ11

The correct option is c) regression equation. The model in the form y = β0 + β1x + ε is called the regression equation in regression analysis.

It represents the relationship between a dependent variable y and an independent variable x, where the β0 and β1 are the intercept and slope coefficients, respectively, and ε is the error term or residual. The regression equation is used to predict the value of the dependent variable based on the given value of the independent variable. The goal of regression analysis is to estimate the values of the coefficients β0 and β1 that provide the best fit of the regression equation to the observed data. The estimated regression equation is obtained by substituting the estimated values of the coefficients into the regression equation.

Learn more about regression equation here

https://brainly.com/question/25987747

#SPJ11

Answer:

5 total busses

Step-by-step explanation:

Add kids and adults - 210

Divide 210 by 45 and get 4.67

Answer is 5 because you have to fit everyone so you will have extra seats on one bus.

Hope this helps!

The correct basis step for proving the statement P(n) using strong induction is to show that P(8) is true

Strong induction is a method of proving that a statement is true for all values of n by demonstrating that it is true for a base case and that if it is true for all values up to n, then it must also be true for n+1. It can be used to prove the statement P(n) that a postage of n cents can be formed using only 3-cent stamps and 5-cent stamps.

To demonstrate that P(8) is true is to do the proper basis step for strong induction. This is so that we may create an 8 cent postage using a 3-cent and a 5-cent stamp.

The following argument can be used to demonstrate that the basic step is P(8) being true:

A postage of 8 cents can be made with one 3-cent stamp and one 5-cent stamp.

Thus, P(8) must be true.

We don't need to check any other values for the base step because P(n) only depends on the values of P(k), where k n.

Learn more about induction here:

https://brainly.com/question/29503103

#SPJ4

The equity of the entity, according to the basic accounting equation, is R6 000. The basic accounting equation is Assets = Liabilities + Equity. To find the equity of the entity, we need to subtract the total liabilities from the total assets.

Bank balance: R5 000

Machinery balance: R3 000

Trade payables: R2 000

Total assets = Bank + Machinery

            = R5 000 + R3 000

            = R8 000

Total liabilities = Trade payables

                 = R2 000

Equity = Total assets - Total liabilities

      = R8 000 - R2 000

      = R6 000

Therefore, the equity of the entity, according to the basic accounting equation, is R6 000.

Learn more about equity here:

brainly.com/question/29436253

#SPJ11

The summary of the given information includes developing a 98% confidence interval for the population mean savings amount, determining the range of pages for 99.7% of prints from a print cartridge, estimating the range of savings amounts for 99.7% of customers, and evaluating the reasonableness of stating that the average customer saves $900.

a) To develop a 98% confidence interval for the population mean savings amount, we can use the given data set. We'll calculate the sample mean and standard deviation and then use the t-distribution since the sample size is small (n < 30).

Given data: $649, $867, $961, $764, $958, $1,054, $1,166, $652, $1,125, $1,254, $649, $568, $667, $1,152, $641, $856, $966, $783, $859, $985, $762, $1,159.

Sample mean (x): Calculate the sum of all values and divide it by the sample size (n).

Sample standard deviation (s): Calculate the square root of the sum of squared differences between each value and the sample mean, divided by (n-1).

Once we have x and s, we can calculate the margin of error (ME) using the t-distribution with (n-1) degrees of freedom at a 98% confidence level.

98% confidence interval: (x - ME, x + ME)

b) To determine the range of pages that will include 99.7% of all prints from a print cartridge, we need to assume that the distribution of the print page counts follows a normal distribution. We can then calculate the range using the mean and standard deviation.

Given the mean and standard deviation of the print page counts, we can use the empirical rule or the three-sigma rule. The range will be within three standard deviations of the mean.

c) To determine the range of savings amounts that will include 99.7% of all customers, we need to assume that the distribution of savings amounts follows a normal distribution. Similar to part b, we'll use the mean and standard deviation to calculate the range within three standard deviations of the mean.

d) To determine if it is reasonable to state that the average customer saves $900, we can compare the calculated confidence interval (from part a) with the value of $900. If $900 falls within the confidence interval, it suggests that it is reasonable to state that the average customer saves $900. If $900 falls outside the confidence interval, it would not be reasonable to make that claim.

To know more about confidence interval,

https://brainly.com/question/10209893

#SPJ11

option

(c) is correct

Step-by-step explanation:

jsjsjd

Answer: x=3/9

Have a nice day people

and if you need help I am right here baby;)

Let's solve your equation step-by-step.

9x−3=−138

Step 1: Add 3 to both sides.

9x−3+3=−138+3

9x=−135

Step 2: Divide both sides by 9.

9x/9=-135/9

x=−15

Answer:

x=−15

Answer:

7 m

Step-by-step explanation:

63/9=7 and 7*9=63

Answer: 7.

Step-by-step explanation:

Divide 63 and 9 and you get 7. Remember, length times width equals area.

The area covered by a sprinkler that sprays water in a circle of an 8-foot radius is 200.96 square feet.

Circle is a 2-Dimensional shape. It has no vertex and edges. It has a center point which equidistant from any point of boundary or circumference of a circle.

Radius refers to the distance between the center and any point on the boundary or circumference of the circle.

The area of a circle is given as the product of a constant pi and the square of the radius.

A =  π\(r^2\)

A is the area

r is the radius

r = 8 feet

A = π * 8 * 8

= 3.14 * 8 * 8

= 200.96 square feet

Learn more about Circle:

https://brainly.com/question/12269818

#SPJ4