A number x is less than 1/4

A complete list of the numbers in the pattern: 3, 6, 10, 14, 18, etc.

The number pattern you described is as follows:

3,

(2*5)-4 = 6,

(2*7)-4 = 10,

(2*9)-4 = 14,

(2*11)-4 = 18,

The first number is 3, and then each subsequent number is found by multiplying the previous odd number by 2 and then subtracting 4.

For example, the second number is found by multiplying the first number by 2 and then subtracting 4, which gives us 6. The third number is found by multiplying the second number by 2 and then subtracting 4, which gives us 10.

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The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").

To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.

First, let's set the two equations equal to each other:

3x² + (12/24)y² = 16 - x²

Next, we simplify the equation:

4x² + (12/24)y² = 16

Multiplying both sides by 24 to eliminate the fraction:

96x² + 12y² = 384

Dividing both sides by 12 to simplify further:

8x² + y² = 32

Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:

(x²/a²) + (y²/b²) = 1

Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.

So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.

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The constant of proportionality for the relationship between number of laps (x) and minutes swimming (y) is 5x-2y = 0.

A proportionality graph, also known as a direct proportionality graph, is a graph that represents the relationship between two variables that are directly proportional to each other.

In a proportionality graph, the x-axis represents the independent variable, while the y-axis represents the dependent variable. When the two variables are directly proportional, the graph will form a straight line passing through the origin (0,0). This means that as the independent variable increases, the dependent variable also increases in proportion to it.

Here we by using the graph the relationship is 5x = 2y

Let x is a number of laps and y is the minutes swimming then the constant of proportionality is 5x-2y = 0.

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Answer:

a= 38.85

Step-by-step explanation:

Answer:

\(\boxed {a = 38.85}\)

Step-by-step explanation:

Solve for the value of \(a\):

\(\frac{a}{3.5} - 4.8 = 6.3\)

-Add both sides by \(4.8\):

\(\frac{a}{3.5} - 4.8 + 4.8 = 6.3 + 4.8\)

\(\frac{a}{3.5} = 11.1\)

-Multiply both sides by \(3.5\):

\(a = 11.1 \times 3.5\)

\(\boxed {a = 38.85}\)

Therefore, the value of \(a\) is \(38.85\).

Step-by-step explanation:

Paxton multiplied 2/3 times the 5 in the numerator. Then he multiplied the 3 and 8 in the denominator.

The correct way to solve this problem would be to multiply the numerators and then multiply the denominators. This would give you 10/24. You can then divide the numerator and deonminator by 2 and get 5/12.

Answer:

12 ten inch pieces

Step-by-step explanation:

you do 120 divided by 10 to get an answer of 12

hope this helped =)

The probability that the waiting time is greater than 5 minutes is 0.3012

Given that the waiting time at a drive-through window has an exponential distribution with a mean of 6 minutes.

The probability density function of an exponential distribution is given by

f(x) = (1/μ) × e^(-x/μ)

where μ is the mean of the distribution.

Therefore, the probability that the waiting time is greater than 5 minutes is

P(X > 5) = ∫[5, ∞] f(x) dx

= ∫[5, ∞] (1/6) × e^(-x/6) dx

= [-e^(-x/6)]_[5, ∞]

= e^(-5/6)

Using a calculator, e^(-5/6) is approximately 0.3012.

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The simplified expression when q = −9, r = 4, and s=8 is -63. The given expression is -5r - 2s + 3q.

To simplify the expression when q = −9, r = 4, and s=8, we substitute the values of q, r, and s into the expression to get:

-5(4) - 2(8) + 3(-9)

This simplifies to:

-20 -16 -27 = -63

Therefore, the simplified expression when q = −9, r = 4, and s=8 is -63.

In general, when simplifying expressions, it is important to remember the order of operations: parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right). It is also important to keep track of any negative signs, as they can affect the final result.

Simplifying expressions can be useful in many situations, such as solving equations or evaluating functions. In this case, knowing the simplified expression allows us to quickly evaluate it for different values of q, r, and s without having to repeat the same calculations over and over again.

Overall, simplifying expressions is an important skill in mathematics that can save time and make calculations easier.

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The Last box-and-whisker plot represents the data 6, 7, 9, 9, 20, 22, 26, 28, 29, 30.

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

Volume is a measure of the amount of space that a three-dimensional object occupies or contains. It is typically measured in cubic units, such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

The volume of a cone can be calculated using the formula V = (1/3)πr²h, where r is the radius of the base, h is the height, and π is approximately 3.14.

Substituting the given values, we get:

V = (1/3) × 3.14 × 3² × 3.8

V ≈ 35.63

Rounding to the nearest whole number, the approximate volume of the mountain is 36 cubic kilometers.

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Answer:

12 edges, 6 faces, and 7 vertices.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

I say 12 edges because there are 12 meeting points, and an open shape.

6 faces because there are 6 highlighted points on what looks like an unfolded shape.

8 vertices because you add 2 to the number of edges and subtract by the number of faces, 6.

Answer:

Part A: Options D and E

Part B: Disagree

Step-by-step explanation:

Part A:

From the graph attached,

Option A

The object is launched from the ground.

False.

Since, the object is launched from the 5 feet above the ground.

Option B

The flight is symmetric about the line t = 10

False.

Since, the flight is symmetric about the line t = 12

Option C

The object reaches a maximum height of 12 feet.

False.

At t = 12 seconds maximum height of the object = 19.4 feet

Option D

The object is flying in the air during the interval 0 < t < 25.93

True.

Option E

The object reaches its maximum height after 12 seconds of flight.

True.

After 12 seconds object is at the maximum height 19.4 feet.

Therefore, Options D and E are the correct options.

Part B:

From the table attached,

h(4) = 13

h(20) = 13

At t = 4 and 13 seconds height of the object is same.

h(4) = h(20)

But Timothy said h(4) < h(20)

Therefore, disagree with the statement of Timothy.

Answer:

It will take approximately 17 years

Step-by-step explanation:

Let the initial investment be x

The investment plus the principal yields 3x

The interest is thus 3x-x = 2x

Formula for simple interest is;

I = PRT/100

R is rate = 12%

T is time = ?

x =$2,000 which is the principal

2x = x * 12 * T/100

2 = 12t/100

12t = 200

t = 200/12

t = 16.67 which is approximately 17 years

Answer:

A 3^7

Step-by-step explanation:

I already helped you with this :P

Can i have brainliest again?!

An advance in technology in the production of good X causes:

c) a rightward shift in the supply curve for good X.

An advance in technology typically increases the efficiency of production and reduces the costs of production. This results in an increase in the quantity of goods that can be produced at a given price, causing the supply curve to shift to the right. The shift to the right reflects an increase in supply, meaning that at any given price, there is now a larger quantity of goods available for sale. This increase in supply tends to put downward pressure on the market price.

The determination of a rightward shift in the supply curve as a result of an advance in technology can be made through analyzing the relationship between price and quantity supplied using basic microeconomic principles.

The supply curve represents the relationship between the price of a good and the quantity of that good that producers are willing and able to supply to the market. An advance in technology that leads to an increase in production efficiency and a decrease in production costs can increase the quantity of goods that can be produced at any given price.

As a result, the supply curve will shift to the right, reflecting an increase in the quantity of goods supplied at each price point. This shift to the right indicates that there is now a larger quantity of goods available for sale at any given price, which can put downward pressure on the market price.

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Answer:

 x<15

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3x+5<50

Step 2: Subtract 5 from both sides.

3x+5−5<50−5

3x<45

Step 3: Divide both sides by 3.

3x /3  <  45 /3

The area of the L-shaped prism is 360 cm^2.

To find the area of the L-shaped prism in cm^2, we need to add up the areas of all six faces.

First, we can find the area of the two rectangular faces by multiplying the length and width of each face. From the diagram, we see that one rectangular face has dimensions 8 cm by 12 cm, while the other has dimensions 6 cm by 12 cm. Therefore, the total area of the rectangular faces is:

8 cm x 12 cm + 6 cm x 12 cm = 144 cm^2 + 72 cm^2 = 216 cm^2

Next, we can find the area of the four square faces by multiplying the length of one side by itself and then multiplying by the number of faces. Each square face has dimensions of 6 cm by 6 cm. Therefore, the total area of the square faces is:

6 cm x 6 cm x 4 = 144 cm^2

To find the total area of the L-shaped prism, we add up the areas of all six faces:

216 cm^2 + 144 cm^2 = 360 cm^2

Therefore, the area of the L-shaped prism is 360 cm^2.

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Using mathematical operations we can conclude that Jada drinks 8/15 liters of water.

So, liters of water Jada drinks:

We know that,

The container holds 4/5 liters of water.

Jada drinks 2/3 liters of water.

Now, liters of water Jada drinks is:

4/5 × 2/3

4×2/5×3

8/15

Therefore, using mathematical operations we can conclude that Jada drinks 8/15 liters of water.

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Answer:

28/6 yeah thats right wasp

Answer:

Step-by-step explanation:

The required Linear function among the following option is D) y=|x|.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

A)  y=3x³

It is cubic function.

B) y=¼x

It is inverse function.

C) Y=x²

It is a quadratic function.

D) y=|x|

It is a modulus function, but after remove the Mode in x, we get

y = x and y = -x

So, Here power on x is one. It is Linear function as well.

Thus,  y=|x| is linear function.

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Answer:

ok so do L times W

Step-by-step explanation: then youl get the answer

Answer:

3.99

Step-by-step explanation:

The total sum of central angle of circle is 360 which mean the area of the circle = (12.36 x 360)/89

A=πr^2

=> (12.36 x 360)/89 = 3.14(r^2)

r^2 = 15.92

r = 3.99

The amount of sugar in the entire shipment is 97(1)/(2) tons.

We are given that a shipment of sugar fills 2(1)/(5) containers. If each container holds 3(3)/(4) tons of sugar, we need to find the amount of sugar in the entire shipment.

Step-by-step explanation:

One container of sugar holds 3(3)/(4) tons of sugar. There are 2(1)/(5) containers of sugar in the shipment.

Amount of sugar in one container = 3(3)/(4) tons

Amount of sugar in 2(1)/(5) containers

= 2(1)/(5) × 3(3)/(4) tons

= 13/5 × 15/4 = 195/20

= 97(1)/(2) tons

Therefore, the amount of sugar in the entire shipment is 97(1)/(2) tons.

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Answer:

1: 128

2: ?

3: ?

4: 120

Answer:

3. 120

Step-by-step explanation:

It is 120 because it is vertical to the one given and all vertical angles are congruent

Answer:

The maximum of a set is the largest of a set.
arrange the terms in ascending order, 1.5, 3, 27.
take the biggest element of the ascending data set, which Is 27.

Step-by-step explanation

I tried my best I’m not the best at math. But I felt like someone needed help. I really hope you do well my friend. I’m sorry If the answer is in correct, I’m in geometry.

f(4) = 3 and f'(4) = m, where m is the slope of the tangent line to the function f(x) at the point (4, 3).

Since the tangent line passes through (4, 3), we can use the point-slope form of a linear equation to determine the equation of the tangent line. Let the equation of the tangent line be y = mx + b, where m is the slope of the tangent line. We know that the slope of the tangent line is equal to the derivative of f(x) evaluated at x = 4, so m = f'(4).

Substituting the point (4, 3) into the equation of the tangent line, we get 3 = 4m + b.

Since the tangent line also passes through (0, 2), we can substitute these coordinates into the equation of the tangent line to get 2 = 0m + b.

From the above two equations, we can solve for b, which gives us b = 2.

Now we have the equation of the tangent line as y = mx + 2, and we know that it represents the function f(x) at the point (4, 3). Therefore, f(4) = 3.

Finally, we can determine f'(4) by substituting the value of m into the equation of the tangent line. So f'(4) = m.

In summary, f(4) = 3 and f'(4) = m, where m is the slope of the tangent line to the function f(x) at the point (4, 3).

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