Suppose that you increase the height of this cylinder by 10 cm. By how much does the volume increase?

radius = 5 cm, height = 7 cm

An equation of the line that passes through (1, 2) and is parallel to the given line is y=-5x+7.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, the coordinate point is (1, 2) and the line is y=-5x+4.

Here, slope of given equation is m₁= -5

We know that, the slope of parallel lines is equal. That is m₁=m₂.

Now, slope m₂=-5

Substitute, m=-5 and (x, y)=(1, 2) in y=mx+c, we get

2=-5(1)+c

c=7

Substitute, m=-5 and c=7 in y=mx+c, we get

y=-5x+7

Therefore, an equation of the line that passes through (1, 2) and is parallel to the given line is y=-5x+7.

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The value of x in the given equation is 0

The given equation is 3x-5(3-2x)=6x-15

Apply the distributive property

3x-15+10x=6x-15

Take all the variable terms on one side and constants on other side

13x-15=6x-15

Add 15 on both sides

7x=0

x=0/7

The value of x is zero

x=0

Hence, the value of x in the given equation is 0

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Answer: she can buy it for 5 friends

Step-by-step explanation:

$35(budget)- $15(craft booth) =$25

then $25 divided by $4 equals 5

So 5 people she can but for.

Jimmy's age = (serena age + tyler age) - 1

Answer:

38 degree difference

Step-by-step explanation:

24 + 15 =39

But they share the 0 degree spot so minus one.

39-1=38

Answer:Express the area of the entire rectangle. Your answer should be a polynomial in standard form. 3y3 + 8y2 + 2y 543. Area

Step-by-step explanation:

Answer:

15y^6-40y^5+10y^4

Step-by-step explanation:

i got it right on khan

The 95% confidence interval for the mean is (1.6048, 1.6352).Hence, option (d) is the correct answer.

As given, a machine that is programmed to package 1.60 pounds of cereal is being tested for its accuracy in a sample of 40 cereal boxes, the sample mean filling weight is calculated as 1.62 pounds. The population standard deviation is known to be 0.06 pounds. We are required to find the 95% confidence interval for the mean. Here are the steps to solve this problem:

The formula to find the confidence interval is as follows;

Lower limit = x - zα/2 (σ/√n)

Upper limit = x + zα/2 (σ/√n)

Where,

x= sample mean

zα/2 = z-value of the level of significance

σ = population standard deviation

n = sample size

We are given;

x = 1.62 pounds

σ = 0.06 pounds

n = 40

We need to find the z-value of the level of significance, which can be found using the z-table or by using the calculator.Using the z-table, we get the z-value at 95% confidence interval as zα/2 = 1.96

Substituting the values, we get

Lower limit = 1.62 - 1.96(0.06/√40)

Upper limit = 1.62 + 1.96(0.06/√40)

Lower limit = 1.6048, Upper limit = 1.6352

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Answer:

Step-by-step explanation:

bc + ad = b

bc + ad/bc = b/bc

ad = b/bc

ad/d = b/bc + d

a = b/bc+d

The function f(x) The limit does not exist. None of the given option is correct.

To compute the limit of f(x) as x approaches 3, we need to consider the three cases: x < 3, x = 3, and x > 3.

For x < 3, the function f(x) is given by f(x) = (x - 3)/(x + 1).

To find the limit as x approaches 3 from the left (x < 3), we substitute x = 3 into the expression:

lim(x→3-) f(x) = lim(x→3-) (x - 3)/(x + 1) = (3 - 3)/(3 + 1) = 0/4 = 0.

For x = 3, the function f(x) is defined as f(x) = 6.

To find the limit as x approaches 3, we directly substitute x = 3:

lim(x→3) f(x) = f(3) = 6.

For x > 3, the function f(x) is given by f(x) = x² - 5.

To find the limit as x approaches 3 from the right (x > 3), we substitute x = 3 into the expression:

lim(x→3+) f(x) = lim(x→3+) (x² - 5) = (3² - 5) = 9 - 5 = 4.

Since the limit from the left and the limit from the right are different, the limit of f(x) as x approaches 3 does not exist.

Therefore, the answer is (E) The limit does not exist.

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The maximum possible volume of a rectangular parcel with a square base that can be sent by priority mail would be achieved by making the length and width of the rectangle equal to the length of the square base. This is because a square has equal sides, so if we make the base of the rectangular parcel a square, then we can maximize the volume of the parcel.

We can use the formula for the volume of a rectangular prism, which is length x width x height. In this case, we want to maximize the volume of the parcel, so we need to find the values of length, width, and height that will give us the largest possible result.

Since we are given that the base of the rectangular parcel is a square, we can let the length and width be equal to the side length of the square. Let's call this value "s". Now, we need to find the height of the parcel.

We know that the maximum height of the parcel will be determined by the size restrictions of priority mail. According to the United States Postal Service, the maximum size for priority mail packages is 108 inches in combined length and girth (distance around the thickest part).

For our rectangular parcel, the combined length and girth would be equal to the perimeter of the base plus the height. The perimeter of a square is 4 times the length of one side, so the combined length and girth of our parcel would be 4s + h.

To maximize the volume of the parcel, we want to make the height as large as possible without going over the maximum size limit of 108 inches. So we can set up an equation:

4s + h = 108

Solving for h, we get:

h = 108 - 4s

Now we can plug this value into the formula for the volume of a rectangular prism:

V = s^2 * (108 - 4s)

We want to find the value of s that will give us the largest possible volume. To do this, we can use calculus to find the maximum of the function V(s). Taking the derivative and setting it equal to zero, we get:

dV/ds = 0

2s(54 - s) = 0

s = 27

So the maximum possible volume of a rectangular parcel with a square base that can be sent by priority mail would be achieved by making the base a square with side length 27 inches, and the height of the parcel would be 108 - 4(27) = 0 inches. This gives us a maximum volume of:

V = s^2 * h

V = 27^2 * 0

V = 0

Note that the parcel in this case would be flat, so it would not actually be practical for sending items. However, this calculation shows us the maximum possible volume for a rectangular parcel with a square base that can be sent by priority mail.

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Answer:

$13.75

Step-by-step explanation:

0 weeks = 260

4 weeks = 315

8 weeks = 370

Every 4 weeks, the rate of change is $55 as can be seen by 315 - 260 = 55 and 370 - 315 = 55.

Per week, the rate of change is $13.75 This is because $55 ÷ 4 weeks = rate of change per week

55 ÷ 4 = 13.75

With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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The scenario in which an athlete cuts the time it takes to complete a 10K race by 5% each week represents an exponential function.

An exponential function is a mathematical function in which the independent variable is an exponent. It is characterized by a constant ratio between successive values.

In the given scenarios, the first two options involve a fixed amount or average (monthly rent payments or number of patrons per hour) and do not demonstrate exponential growth or decay. These scenarios can be represented by linear functions.

The third option, where an athlete cuts the time it takes to complete a 10K race by 5% each week, represents exponential decay. The time reduction each week can be expressed as a percentage of the previous week's time, resulting in a constant ratio between successive time values. This is a characteristic of exponential functions.

The fourth option describes the volume of a cube, which is calculated by raising the length of the side to the third power. This is an example of a polynomial function, specifically a cubic function, rather than an exponential function.

Therefore, the scenario in which an athlete cuts the time it takes to complete a 10K race by 5% each week represents an exponential function.

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Answer:

x = 7

Step-by-step explanation:

These are alternate interior angles. The rule for this type of angles is that they are equal to each other. Hence, you would do the following:

2x+5 = 3x-2 (Add 2 to each side)

2x+7 = 3x (Subtract 2x from each side)

7 = x ; x = 7

I hope this helps :D

Hope this is the right answer .

This is the process of building a model that can be modified before the actual system is installed is B. Prototyping

The answer to the question is B. prototyping. Prototyping is the process of building a preliminary model of a system, which can be modified and improved upon before the final system is installed. This allows for errors to be identified and corrected early on in the process, reducing the risk of costly mistakes later. Prototyping is often used in software development and other types of system design, where it can be difficult to predict exactly how the system will function until it is actually built and tested. Systems analysis is a related process that involves studying existing systems to identify areas for improvement, while systems maintenance involves maintaining and updating existing systems to ensure that they continue to function properly. Overall, prototyping is an important tool for ensuring that complex systems are built correctly and meet the needs of their users.

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Answer: 6

Step-by-step explanation:

Answer:

7776

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

Answer:

145.95

Step-by-step explanation:

I took the test and got it right

the appropriate z-factor to use when deriving a slope surface with the given horizontal and vertical units and resolutions is 0.1.

When deriving a slope surface, the z-factor represents the conversion factor from the vertical units to the horizontal units. In this case, the horizontal units are in feet with a horizontal resolution of 10, and the vertical units are also in feet but with a vertical resolution of 1. To calculate the appropriate z-factor for deriving a slope surface, we need to determine the ratio of the vertical to horizontal units.

The z-factor can be calculated as follows:

z-factor = vertical units / horizontal units

= 1 / 10

= 0.1

Therefore, the appropriate z-factor to use when deriving a slope surface with the given horizontal and vertical units and resolutions is 0.1.

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Answer:

14

Step-by-step explanation:

given angle pair forms co - exterior angle pair. and are supplementary.

x + 8 + 3x + 2 = 180

4x + 10 = 180

4x = 170

x = 42.5°

Recall that 60 minutes makes 1 hour

Hence 4 hours will be

= 60 * 4

= 240 minutes

If in 15 minutes, she can pick 1/3 pounds of berries

then 240 minutes

= 240/15 * 1/3

= 16/3 pounds

= 5 1/3 pounds

Answer:

\(800 {(1 + \frac{.09}{12}) }^{12t} = 1600\)

\( {1.0075}^{12t} = 2\)

\(t = 7.7 \: years\)

The money will double in approximately 7.7 years.

===================================================

Explanation:

See the diagram below. It shows there are 10 sides, so n = 10.

We'll plug this value of n into the formula below to find the sum of all ten interior angles

S = sum of interior angles

S = 180(n-2)

S = 180(10-2)

S = 180(8)

S = 1440 degrees

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

A different approach:

Let's assume this polygon is a regular polygon. This means each angle is congruent to one another.

We have n = 10 sides, so each exterior angle is E = 360/n = 360/10 = 36 degrees.

Each interior angle adjacent to this 36 degree exterior angle is

180-E = 180-36 = 144 degrees

Since we have 10 equal angles of 144 degrees each, so overall the interior angles add to 10*144 = 1440 degrees

Side note: if this polygon is not a regular polygon, then this section does not apply. You would use the first method instead.

Answer:

It should be 15 weeks

Step-by-step explanation:

if you look at the graph you can see every two weeks it goes down by 100, go to the end of the graph and continue from there. you should get 15 weeks till 300 tickets

Answer:

18/10

Step-by-step explanation:

got it right.