What’s the volume of this cylinder? HELP PLSSS

The given expression ((y-b)²/(y-b+1)+(y-b)/(y-b+1) after being reduced to a polynomial, can be represented as y-b.

In order to reduce the given equation to a polynomial, we are required to simplify and combine like terms. First, we can simplify the expression in the numerator by expanding the square:

((y-b)²/(y-b+1) = (y-b)(y-b)/(y-b+1) = (y-b)²/(y-b+1)

Now, we can combine the two terms in the equation by finding a common denominator:

(y-b)²/(y-b+1) + (y-b)/(y-b+1) = [(y-b)² + (y-b)]/(y-b+1)

Next, we can combine the terms in the numerator by factoring out (y-b):

[(y-b)² + (y-b)]/(y-b+1) = (y-b)(y-b+1)/(y-b+1)

Finally, we can cancel out the common factor of (y-b+1) in the numerator and denominator to get the polynomial:

(y-b)(y-b+1)/(y-b+1) = y-b

Therefore, the equation ((y-b)²)/(y-b+1)+(y-b)/(y-b+1)  after being simplified, is equivalent to the polynomial y-b.

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The equation of the line through the point (7,8) and (-12, -11) is y = x + 1. Thus, option c is correct.

Linear equations are characterised by variables with a power of one. Where ax+b = 0 is one example with one variable, where a and b are real numbers and x is the variable.

Linear algebra covers a wide range of topics. Applications, abstract, and numerical methods are all part of its range. Numerous other disciplines, including fractal geometry, differential equations, difference equations, relativity, archaeology, and demography, depend on linear algebra.

Using the slope formula, we can find the equation of the line [passing through the point (7,8) and (-12, -11) i.e.

y₂ - y₁ = m(x₂ - x₁)

Putting the values

-11 - 8 = m(-12 - 7)

-19 = m(-19)

m = -19/-19

m = 1

Now, we have slope so find the line

y - 8 = 1(x - 7)

y = x - 7 + 8

y = x + 1

y - (-11)= 1(x - (-12))

y + 11= x  12

y = x + 1

Thus, The equation of the line through the point (7,8) and (-12, -11) is y = x + 1.

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Answer:

x = -11/9

Step-by-step explanation:

First, let's distribute (get rid of parenthesis):

7x + 21 = -2x + 10

Then, let's combine like terms:

7x + 2x = 10 - 21

Then, simplify:

9x = -11

Finally, divide 9 on both sides:

x = -11/9

And we're done!

Question:

Hailey ran a few laps. D(n), models the duration (in seconds) of the time it took for Hailey to run her nth lap. When did the lap duration increase faster?

A. Between the 3rd and 7th lap

B. Between the 7th and 9th lap

C. The lap duration increased at the same rate over both intervals

Answer:

B. Between the 7th and 9th lap

Step-by-step explanation:

Given

See attachment for table

Required

Determine when the lap increases faster

To do this, we simply calculate the rate of change between each lap.

From the attachment, we have:

\(D(3) = 85\)

\(D(7) = 99\)

\(D(9) = 110\)

Rate of change is calculated using:

\(Rate = \frac{D(b) - D(a)}{b - a}\)

For D(3) to D(7), the rate is:

\(Rate = \frac{D(7) - D(3)}{7 - 3}\)

\(Rate = \frac{99 - 85}{7 - 3}\)

\(Rate = \frac{14}{4}\)

\(Rate = 3.5\)

For D(7) to D(9), the rate is:

\(Rate = \frac{D(9) - D(7)}{9 - 7}\)

\(Rate = \frac{110 - 99}{9 - 7}\)

\(Rate = \frac{11}{2}\)

\(Rate = 5.5\)

The rate of change between the 7th and 9th lap  is greater than the rate of change between then 3rd and 7th lap .

Hence, (b) is correct

Answer:

B) Between the 7th lap and the 9th lap

Step-by-step explanation:

Answer:

a)....it would cost 12 dollars

the equation is.... 2x 6(number of downloads)

b) C = 15 + (dx0.5)

c) the graph represents gamers price model

d) gamers would be cheapest

gamers would be 8 x 2 = 16

gameworld would be 15(monthly subs) plus 0.50 x 8 (4 dollars) = 19

e) totally depends upon the number of games downloaded by each person.

for up to 10 games per month Justin is on the best deal

exactly 10 games per month makes both deals equal

over 10 games per month Kenny is on the best deal

The probability of selecting a jack, replacing the card, and then selecting a king is 1/169

In a standard deck of cards, we have:

Total = 52

Jack = 4

King = 4

The probability of each is:

P(Jack) = 4/52

P(King) = 4/52

So, we have:

P = 4/52 * 4/52

Simplify

P = 1/13 * 1/13

Evaluate

P = 1/169

Hence, the probability is 1/169

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Answer:

Width = 15 feet

Length = 32 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width = x feet

Length = (x + 17) feet

Perimeter = 94 feet

Perimeter of a rectangle = 2(length + width)

94 = 2{(x + 17) + x}

94 = 2(x + 17 + x)

94 =2(2x + 17)

94 = 4x + 34

94 - 34 = 4x

60 = 4x

x = 60/4

x = 15

Width = x feet = 15 feet

Length = (x + 17) feet

= 15 + 17

= 32 feet

Function that represents the expression is f (y) = $150 + $35Y

In mathematics, function is an expression that creates a relationship between an independent variable and a dependent variable.

The set of values of independent variable is called input and the set of values for dependent variable is called output.

given, bus rental fee = $150

fee for private group tour per person = $35

let, the amount of people included in this tour = Y

total fee for private group tour for Y people= $35Y

Therefore, the total charge for the Brazil tour = bus rental fee + fee for private group

total charge = $150 + $35Y

if total charge for Brazil tour can be modelled by a function

then function f (y) = $150 + $35Y

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The solution is:

6 workers have to be on the team to finish the project A in 72 days

Here,

In any project, if x employees work for y days to finish the project, then

Project = x y

x and y are variables but the project is constant, so

In the same job, if z employees work for m days to finish it, then

Project = z m

∵ Project = Project

∴ x y = z m

Very important note:

This relation is called inverse variation, which means if the number of workers increases, then the number of days decreases

The product of the 2 quantities (workers and the days) is constant

Let us use this rule in the question

∵ 18 workers will take 95 days to finish the project

∴ Project = 18 (95) = 1710

∵ x workers take 72 days to finish the same project

∴ Project = x (72)

→ Substitute the project by 1710

∴ 1710 = 72 x

Divide both sides by 72 to find x

∴ x = 23.75 ≈ 24

∵ x represents the number of workers

∴ 24 workers can finish the project in 72 days

∵ There are 18 workers already

∴ The number of workers needed = 24 - 18 = 6

∴ 6 workers have to be on the team to finish the project A in 72 days.

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complete question:

Project A Overview

No employees: 18

No of days: 95

Budgeted spend ($): 32000

Actual spend ($): 30000

Question: How many more employees have to be on team that will work on project A if the company wants to finish project within 72 days?

The National Highway Traffic Safety Administration reports the percentage of traffic accidents occurring each day of the week. A sample of 420 accidents provided the following data. Conduct a hypothesis test to determine whether the proportion of traffic accidents is the same for each day of the week.

What is the p-value Using a 0.05 level of significance, what is your conclusion The given data is shown below: Day Monday Tuesday Wednesday Thursday Friday Saturday Sunday Number of accidents66929046507661

Now, we need to calculate the chi-square test statistic value and the p-value.

The calculations are shown below:

Day Observed (O)Expected (E)O - E(O - E)² / E

No. of accidents Monday669702.83-33.83-113.502.19

Tuesday929702.83 226.17 50.892.89

Wednesday465702.83-237.83-1333.767.11

Thursday076702.831373.17 1835.8831.26

Friday619702.83-83.83-70.202.26

Saturday617702.83-85.83-73.890.95

Sunday576702.8336.1778.811.61

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Answer:

The answer to your problem is -10

Answer:

See the attached

Step-by-step explanation:

The solution and filled in Venn diagram is attached

Answer:

Um 8t I think, your answer isn't very descriptive but I still want to help you. But by what your asking it would most likely be 8t.

Step-by-step explanation:

Anyways have a nice day/night :)

Simplifying and solving the integral gave us the final answer of:
V = 72π cubic units

In the last homework assignment, we used the washer method to compute the volume of the solid obtained by rotating the region inside x^2 + (y - 4)^2 = 9 about the x-axis. To do this, we first found the limits of integration by setting y - 4 equal to 0 and solving for x. This gave us x = ±√(9) = ±3. So our limits of integration were -3 and 3.
Next, we set up the integral using the washer method. We integrated from -3 to 3, using the formula V = π∫[a,b](R^2 - r^2) dx, where R is the outer radius and r is the inner radius. In this case, the outer radius was the distance from the x-axis to the circle at height y, which was √(9 - (y - 4)^2). The inner radius was the distance from the x-axis to the line y = 0, which was simply y. So our integral was:
V = π∫[-3,3]((√(9 - (y - 4)^2))^2 - y^2) dx
Simplifying and solving the integral gave us the final answer of:
V = 72π cubic units

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The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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Answer:

-4

Step-by-step explanation:

\(Given:\) Line segment PQ with points P(-2.5) and Q(-1,1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (1 - 5)/(-1 - (-2)) = -4/1 = -4

Answer:

-4/1

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

By adding the x's on the graph, they practiced 2/4 + 3/4 + 3/4 + 1 + 1 hours, which is 4 hours

Answer:

1 1/8

Step-by-step explanation:

2/8 + 7/8

Since the denominators are the same, we add the numerators

9/8

This is an improper fraction, so we can rewrite this

8/8+ 1/8

1 1/8

Answer:

the answer is number 2

Step-by-step explanation:

hope this helps u

Answer:

LN=4

Step-by-step explanation:

Since BA is the mid-segment of ΔLMN the end-segment will be twice the length. \(2*2=4\)

Judy's total score is 3.

The difference between the lowest and highest score is -12.

The combined total of the scores from round 1 is -5.

The mathematical operations that would be used to solve this question are addition and subtraction. Addition is the process used to determine the sum of two or more number. The sign used to represent addition is +. Subtraction is the process used to determine the difference between two or more numbers. The sign used to represent subtraction is -.

Judy's total score is the sum of the score in round one and round one.

Judy's total score = -3 + 6 = 3

For negative numbers, the further the number is from 0, the smaller the number. For example, -10 is smaller than -5. For positive numbers, the closer the number is to zero, the smaller the number. For example,1 is smaller than 5.

Looking at the table, the smallest number is -6 and the largest number is 6

The difference : -6 - 6 = -12

The total scores from round 1 =  1 -6 +1 +2 -3 = -5

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Answer:

\(Height = 15cm\)

Step-by-step explanation:

Given

\(Base\ Area = 200cm^2\)

\(Volume = 3000cm^3\)

Required

The height

Volume is calculated as:

\(Volume = Base\ Area * Height\)

Make Height the subject

\(Height = \frac{Volume}{Base\ Area}\)

This gives

\(Height = \frac{3000cm^3}{200cm^2}\)

\(Height = \frac{3000}{200}cm\)

\(Height = 15cm\)

Answer:

b

Step-by-step explanation:

Hence, the deal of  $\(479\) is best unit price per blender.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Oliver is buying equipment for his restaurant. He can buy two blenders for $\(396\) or three blenders for $\(479\).

So,

Oliver buying two blenders at  $\(396\) so the cost of one blender is

i.e., \(\frac{396}{2}=198\)$

Oliver buying two blenders at  $\(479\)  so the cost of three blenders is

i.e., \(\frac{479}{3}=159\)$

Hence, the deal of  $\(479\) is best unit price per blender.

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A correlation coefficient of -1.0 between two sets of numbers that when one set of numbers goes up, the other set goes down; a complete lack of any correlation between the two sets. The correct answer is d)

The correlation coefficient measures the strength and direction of the linear relationship between two sets of numbers. It ranges from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no linear correlation.

When the correlation coefficient is -1.0, it signifies a perfect negative correlation. This means that when one set of numbers increases, the other set decreases in a perfectly linear fashion. As the value of one set of numbers increases, the value of the other set decreases in a proportional manner.

Therefore, option d) is the correct answer, as it accurately describes the behavior exhibited by a correlation coefficient of -1.0. It indicates a complete lack of any correlation between the two sets, with one set going up while the other set goes down in a perfectly linear relationship.

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Complete question is:

A correlation coefficient of -1.0 between two sets of numbers

a) indicates a positive correlation between the two sets.

b) that when one set of numbers goes up, so does the other set.

c) an indefinite relationship between the two sets.

d) that when one set of numbers goes up, the other set goes down a complete lack of any correlation between the two sets.

Answer:

C. -6w-39

Step-by-step explanation:

Answer:

the correct solution is C.-6w-39

Answer:

Quadrant III or 3rd quadrant

Step-by-step explanation:

( - 3, - 9 ) is located in 3rd quadrant.

The value of a home increases by 7%each year, by compounding the value of the home doubles approximately once each decade.

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.

It is given by the formula,

A=P(1+r)^t

where A is the value after t period of time,

P is the value of the asset at the beginning, and,

r is the rate of interest.

The value of the home doubles once each decade.

Given to us

The value of a home increases by 7% each year.

As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.

We know the formula of compounding,

A=P(1+r)^t

Why does the value doubles?

Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,

A=P(1+r)^t

Substitute the rate at which the value is increasing,

A=P(1+0.07)^t

We know that in a decade there are 10 years,

A=P(1+0.07)^10=P(1.07)^10

=1.967P

Approximately

=2P

As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.

Hence, the value of the home doubles once each decade.

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