What is the approximate volume of a cylinder with a diameter of 28 ft and height of 20 ft? Use 3.14 to approximate π , round to the nearest tenth.

Answer:

Your best guess would be B

Step-by-step explanation:

Answer:

y ≤ -8

Step-by-step explanation:

The area of a circle with radius 4 is 50.24.

Writing the equation form for area and radius of two circles -

(Area/radius²) for circle 1 = (Area/radius²) for circle 2

Keep the values in the relation to find the area of small circle.

314/10² = Area/4²

Area = (314 × 16)/100

Performing multiplication on Right Hand Side of the equation to find the area of circle

Area = 5024/100

Performing division on Right Hand Side of the equation to find the area of circle

Area = 50.24

Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.

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Answer:

x=-125/24

Step-by-step explanation:

(6x+10)+(-10-30x)=(30x+135)+(-10-30x)

(6x+10)+(-30x-10)=(30x+135)+(-30x-10)

6x+10-30x-10=30x+135-30x-10

6x-30x+10-10=30x-30x+135-10

-24x=125

24x/24=-125/24

x=-125/24

The general syntax for regression modeling in R is as follows:

lab5.reg4 = lm(formula, data = dataset)

summary(lab5.reg4)

In the first line, "formula" should be replaced with the regression formula that defines the relationship between the dependent variable and the independent variables. The formula should be written using the appropriate variables and operators, such as "+" for addition, "-" for subtraction, "*" for multiplication, and "/" for division. For example, a simple linear regression formula could be written as "y ~ x" to represent the dependent variable y and the independent variable x.

In the second line, "dataset" should be replaced with the name of the dataset being used for the regression analysis. The dataset should be properly imported or defined in R before running the regression model.

After running the regression model, the "summary" function is used to obtain a summary of the regression results, including the coefficients, standard errors, p-values, and other relevant statistics.

It is important to note that the specific variables and dataset used in the regression model will determine the actual syntax used. The syntax provided above serves as a general template, and you should fill in the blanks with the appropriate variables and dataset to generate the regression model and summary statistics for your specific analysis.

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Answer:

$55.44 is the price of the sunglasses

Step-by-step explanation:

Price Of Sunglasses = $56

10% Discount = $5.6

So, $56-$5.6 = $50.4 <------ Applying Discount

10% of $50.4 = $5.04 <------ Price of Processing Fee for Discounted Price

$50.4+$5.04 = $55.44 <------ Total Price

The discounted price is $50.4 and we take 10% of that [discounted price] and we add it to the discounted price. 10% of that is $5.04. = $55.44

Answer:

$55.44

Step-by-step explanation:

56 - 56(0.10) = 50.40  price with 10% off

50.40 + 50.40(0.10) = 55.44   10% processing fee added to discounted price

Answer:

Step-by-step explanation:

20 seconds = 8 copies

so every 2.5 seconds, 1 page is made( 20sec/8 page = 2.5 page per second)

2.5 sec = 1 page

48 sec = x page

now you cross multiply, and that goes to: 2.5x = 48

isolate for x

x= 48/2.5

x= 19.2 but it says whole pages so you round down

x = 19 pages in 49 seconds

Answer:

f^-1(x) = (x+20) / 12

Step-by-step explanation:

f(x) = 4(3x-5)

Let y be the image of f.

y = 4(3x-5)

y = 12x-20

y+20 = 12x

x = (y+20) / 12

f^-1(y) = (y+20) / 12, so

f^-1(x) = (x+20) / 12

Answer:

8x^2

Step-by-step explanation:

Answer:

3) y = 3x

Step-by-step explanation:

a line equation is typically written as

y = ax + b

a is the slope, the inclination of the line. it is defined as ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.

so, e.g. going from (0,0) to (4,12) means

x changes by +4 (from 0 to 4)

y changes by +12 (from 0 to 12)

so, the slope is +12/+4 = 3

and the line equation starts like this

y = 3x + b

now, b is the y-intercept : the y value, where the line intercepts (crosses) the y-axis. in other words, the y value where x = 0.

and we have that right away, as the line goes through (0,0). that IS the y-intercept point. the y value there is 0.

therefore, b=0.

and so the full line equation is

y = 3x

Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.

Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.

Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.

Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.

Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.

Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.

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Answer:

x = 58

y = 39

Step-by-step explanation:

x = 58 (Vertically opposite angles)

x + 2y + (x-14) = 180 (Angles in a straight line)

=> x + 2y + x - 14 = 180

=> 2x + 2y = 180 + 14

=> 2(58) + 2y = 194

=> 116 + 2y = 194

=> 2y = 194 - 116

=> 2y = 78

=> y = 78/2

=> y = 39

Raising q to the power of 6 and then squaring it is the same as raising q to the power of 12. Option C.

The expression \((q^6)^2\) can be simplified using the power of a power property, which states that when you raise an exponentiated quantity to another exponent, you multiply the exponents. Applying this property, we have \((q^6)^2 = q^(6*2) = q^{12.\)

Therefore, the expression \((q^6)^2\) is equivalent to \(q^{12.\)

To understand this, let's break it down step by step:

Start with \(q^6\): This means q raised to the power of 6.

Square \(q^6\): We multiply the exponent 6 by 2, giving us 12.

The result is \(q^{12\): This means q raised to the power of 12.

Hence, \((q^6)^2\) simplifies to \(q^{12.\)

In summary, the expression \((q^6)^2\) is equivalent to \(q^{12\). So Option C is correct.

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The number of siblings is 41.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

we have given,

The graph represents the number of siblings each student in a class.

the graph which represents the frequency of the number of students on the y-axis and the number of siblings on the x-axis.

Number of siblings = (0 * 6) + (1 * 7) + (2 * 4) + (3 * 2) + (4 * 5)

= 41

Hence, the number of siblings is 41.

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Answer:

7.15

Step-by-step explanation:

I believe all you do is just 2.75 + 160% which gives you your final answer $7.15

The simple interest on the principal amount of $725 at a rate of 3.25% for 6 months is $736.78

Simple interest is calculated on the loan principal amount or the initial deposit into a savings account. It can be determined by using the formula:

\(\mathbf{S.I = P(1 + rt)}\)

where:

\(\mathbf{S.I = 725(1 + 0.0325(0.5))}\)

S.I = $736.78

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Answer:

B

Step-by-step explanation:

The horizontal line test is used to determine whether a function is one-one when its graph is given. We have already seen the condition (g(x1) = g(x2) ⇒ x1 = x2) to determine whether a function g(x) is one-one algebraically. On the other hand, to test whether the function is one-one from its graph,

• just take a horizontal line (consider a horizontal stick) and make it pass through the graph.

• If the horizontal line is NOT passing through more than one point of the graph at any point in time, then the function is one-one.

• If the horizontal line passes through more than one point of the graph at some instance, then the function is NOT one-one.

In the first image we see that One to one function graph is similar to the second image graph which is f(x) = x³ - 8x

According to the information, the jet has traveled 4400 miles.

To find how many miles the jet has traveled, we need to know the total time it has been in the air. Since the jet left the airport 4 hours ago, and assuming it has been flying at a constant speed of 600 mph ever since, we have:

Total time in air = 4 hours + time since reaching top speed

We can convert this total time to minutes by multiplying by 60:

Total time in air = 4 × 60 + time since reaching top speed

Total time in air = 240 + time since reaching top speed (in minutes)

Now, we can use the equation:

distance = speed × time

to find the distance traveled by the jet. The speed is 600 mph, but we need to convert it to miles per minute by dividing by 60:

speed = 600 mph ÷ 60 = 10 miles per minute

The time is the total time in air we just calculated. Therefore:

distance = 10 miles per minute × (240 + time since reaching top speed)

We don't know the exact value of the time since reaching top speed, but we know it is less than 4 hours (since the jet reached top speed 7 minutes after takeoff and has been flying at a constant speed of 600 mph ever since). Therefore, we can assume it is less than 240 minutes. Let's take a conservative estimate and assume it is 200 minutes:

distance = 10 miles per minute × (240 + 200) = 4400 miles

Therefore, the jet has traveled 4400 miles.

 600|            .__

     |          .     \

     |        .        \

     |      .            \

     |    .                \

     |  .                    \

     |________________________

         0       7 min     t

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Hey

here's ur answer ⤵️

Answer= 105

Step-by-step explanation:

The minimum value in a class is it's lower limit and the maximum value in a class is the upper limit. The given class is 90-120. So, the lower limit of this class is 90 and the upper limit is 120

Hence, the class mark of this class is 90-120= 105.

Hope it helps ✌

Answer:

j+47=55

Step-by-step explanation:

“the sum of” means adding, so you add j and 47, which is or is equal to 55

j+47=55

The best estimate for the value of r in the given scatter plot is -0.9.

Here, we are given a scatter plot as shown in the figure above.

To estimate the value of r in the scatter plot, we don't actually need to calculate the value of r. We can infer the value by looking at the scatter plot.

As we can see the points show a downward trend so it must be the case that the r value will be negative.

Thus, we can easily eliminate option 1 and 3 as they are positive values.

Now, we've two options: -0.9 and -1

-1 represents a perfect negative correlation, but as we can see from the graph, the points do not form a perfectly straight line. This means that r value cannot be -1.

Thus, we can say that the best estimate of the value of r in the scatter plot is -0.9.

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a. The equator has the smallest circumference of all the circles of latitude or longitude.

The equator is an imaginary circle that is located at 0 degrees latitude and circles the Earth's surface at its widest point. Since the Earth is roughly spherical in shape, the equator represents the largest circle of latitude. However, it has the smallest circumference of all the circles of latitude or longitude because it is located at the widest point of the Earth, and its radius is equal to the Earth's radius.

In contrast, the circles of latitude and longitude located at higher latitudes have smaller radii and therefore larger circumferences than the equator. Similarly, circles of latitude and longitude located at lower latitudes have larger radii and smaller circumferences than the equator. Therefore, the equator has the smallest circumference of all the circles of latitude or longitude on the Earth's surface.

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Answer:

y = (2/5) OR y = (6/5)

Step-by-step explanation:

The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:

4 - 5y = 2 OR 4 - 5y = -2

5y = 2 OR 5y = 6

y = (2/5) OR y = (6/5)

If we plug both of these answers back into the equation we can see that they both check out.

To calculate the arc length of a circle, you need to use the formula: arc length = (central angle in radians) x (radius)

where the central angle is measured in radians and the radius is the distance from the center of the circle to the edge. To use this formula, first convert the central angle from degrees to radians by multiplying it by π/180. Then, multiply the result by the radius to find the arc length. For example, if you have a circle with a radius of 5 units and a central angle of 45 degrees, you can calculate the arc length as follows: Convert the central angle to radians: 45 x π/180 = 0.7854 radians. Multiply the central angle in radians by the radius: 0.7854 x 5 = 3.927 unit. Therefore, the arc length of a circle with a radius of 5 units and a central angle of 45 degrees is 3.927 units.

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The percent increase in the population over the initial population after 7 hours is approximately 40.7%.

To solve this problem, we can use the formula for exponential growth:

P(t) = P0(1 + r)^t

Where P(t) is the population after t hours, P0 is the initial population, r is the growth rate as a decimal (in this case, 0.05), and t is the time in hours.

Plugging in the given values, we get:

P(7) = P0(1 + 0.05)^7

To find the percent increase in population over the initial population, we can subtract the initial population from the final population, divide by the initial population, and then multiply by 100:

Percent increase = [(P(7) - P0)/P0] x 100

Simplifying this expression using the formula for exponential growth, we get:

Percent increase = [(1 + 0.05)^7 - 1] x 100

Calculating this expression using a calculator or spreadsheet, we get:

Percent increase ≈ 40.7%

Therefore, the percent increase in the population over the initial population after 7 hours is approximately 40.7%.

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Y=4x+50

Step-by-step explanation:

Input variable: Number of seconds

Output variable: Height of the balloon

Substituting the value of slope (m) and y intercept in slope intercept form. where m=4 meter per second and b=50 meters.