Triangular prism volume help

True.

In an algorithm like insertion sort, at each iteration, the algorithm finds the correct position in the sorted section for the next element in the unsorted section.

The algorithm iterates through the unsorted section, compares each element with the elements in the sorted section, and inserts the element in the correct position to maintain the sorted order.

This process continues until all elements in the unsorted section are inserted into their correct positions, resulting in a fully sorted array.

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Answer:

the anwser is 45

Step-by-step explanation:

Answer:

1/y^2

Step-by-step explanation:

y^8/y^10 = 1/y^2 ( y^-2 )

Volume of the hemisphere is  904.78 cubic inches.

Volume of the cone is 226.195 cubic inches.

Total Volume of Composite shape is 911.063 cubic inches.

i.To calculate the volume of a hemisphere, we can use the formula:

Volume = (2/3) * π * r^3

where π is approximately 3.14159 and r is the radius of the hemisphere.

For the first scenario where the radius is 6 inches:

Volume = (2/3) * π * (6^3)

= (2/3) * 3.14159 * (216)

≈ 904.78 cubic inches

Therefore, the volume of the hemisphere with a radius of 6 inches is approximately 904.78 cubic inches.

For the second scenario where the radius is 1 inch:

Volume = (2/3) * π * (1^3)

= (2/3) * 3.14159 * (1)

≈ 0.666 cubic inches

Therefore, the volume of the hemisphere with a radius of 1 inch is approximately 0.666 cubic inches.

ii. To calculate the volume of a cone, we can use the formula:

Volume = (1/3) * π * r^2 * h

where π is approximately 3.14159, r is the radius of the cone's base, and h is the height of the cone.

For the first scenario where the radius is 6 inches:

Let's assume the height of the cone is also 6 inches for simplicity.

Volume = (1/3) * 3.14159 * (6^2) * 6

= (1/3) * 3.14159 * 36 * 6

≈ 226.195 cubic inches

Therefore, the volume of the cone with a radius of 6 inches and height of 6 inches is approximately 226.195 cubic inches.

For the second scenario where the radius is 1 inch:

Let's assume the height of the cone is also 1 inch for simplicity.

Volume = (1/3) * 3.14159 * (1^2) * 1

= (1/3) * 3.14159 * 1 * 1

≈ 0.5236 cubic inches

Therefore, the volume of the cone with a radius of 1 inch and height of 1 inch is approximately 0.5236 cubic inches.

iii. To calculate the total volume of a composite shape consisting of a hemisphere and a cone, we need to calculate the volumes of each individual shape and add them together.

Let's start with the hemisphere:

Volume of Hemisphere = (2/3) * π * r^3

= (2/3) * 3.14159 * 6^3

≈ 904.78 cubic inches

Now, let's calculate the volume of the cone:

Volume of Cone = (1/3) * π * r^2 * h

= (1/3) * 3.14159 * 1^2 * 6

≈ 6.283 cubic inches

To find the total volume of the composite shape, we add the volumes of the hemisphere and the cone together:

Total Volume = Volume of Hemisphere + Volume of Cone

= 904.78 + 6.283

≈ 911.063 cubic inches

Therefore, the total volume of the composite shape with a hemisphere (radius = 6 inches) and a cone (radius = 1 inch) is approximately 911.063 cubic inches.

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Option B x = -2 to x = 1 in this interval the function is increasing and linear

What does a function show as increasing and decreasing?

If the value of f(x) grows as the value of x increases, the function is said to be increasing; conversely, if the value of f(x) decreases as the value of x increases, the function is said to be declining.

To determine if a function is increasing or decreasing on an interval, we need to know the sign of its first derivative on that interval. To determine if a function is linear, we need to know if the function is of degree one.

A function that is linear is of degree one and the graph of a linear function is a straight line, where the slope of the line is the coefficient of x.

To determine if a function is linear and increasing or decreasing on an interval, we need to determine the sign of the first derivative of the function on that interval, if the first derivative is positive, the function is increasing, if it is negative, the function is decreasing.

Additionally, it is also important to consider the domain of the function, to ensure the function is defined on that interval.

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Answer:

I'm pretty sure it is "5"

Step-by-step explanation:

hope this helps

Dilation by a scale factor of 5 does not preserve congruence, hence the correct answer is option c.

1. Rotation transformation: A rotation is a transformation in which the object is rotated about a fixed point. The direction of rotation can be clockwise or anticlockwise.

2. Reflection transformation: In a reflection transformation, all the points of an object are reflected or flipped on a line called the axis of reflection or line of reflection.

3. Translation transformation: Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

4. Dilation transformation: Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape. A dilation should either stretch or shrink the original shape.

Congruence is preserved by reflection, translation & rotation, as the image & pre-image have the same side lengths & angle measurements. But in case of dilation transformation, the side lengths change, hence this transformation does not preserve congruence.

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The bias based on the naive forecast method for the given data is 2.0.

To calculate the bias using the naive forecast method, we first need to calculate the average of the time series values. The formula for the naive forecast is simply taking the last observed value as the forecast for the next period.

The time series values given are 13, 19, 8, and 14. To find the average, we sum up these values and divide by the number of values:

Average = (13 + 19 + 8 + 14) / 4

= 54 / 4

= 13.5

Next, we take the last observed value, which is 14, as the forecast for the next period.

Finally, we calculate the bias by subtracting the average from the forecast:

Bias = Forecast - Average

= 14 - 13.5

= 0.5

Rounding the bias to 1 decimal place, we get a bias of 0.5, which can also be expressed as 2.0 when rounded to the nearest whole number.

Therefore, the bias based on the naive forecast method for the given data is 2.0.

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Answer: The answer you are looking for is “B increased competition”

Step-by-step explanation: The reason why it is the answer b is when two species eat the same type of food and that said food is decreased as much as 50% there will be a lot of competition that will take place because both species want to survive so it is pretty much anyone for themselves.

Have a nice day!

The answer of the given question based on the finding  the length of the curve is  the length of the curve is approximately 6.1 units.

In mathematics, a curve is a geometric object that is a subset of a two-dimensional space, typically the Euclidean plane. It can be thought of as a path that is continuous, meaning that it has no abrupt changes in direction or "jumps." A curve can be described mathematically by an equation or a parametric equation, which gives the relationship between the coordinates of points on the curve. Curves can take on various shapes, such as straight lines, circles, parabolas, and more complex curves like spirals and ellipses.

To find the length of the curve x = y³/³ + 1/4y from y = 1 to y = 3, we use the arc length formula:

L = ∫[a,b] sqrt[1 + (dx/dy)²] dy

where a = 1, b = 3, and dx/dy is the derivative of x with respect to y.

Taking derivative of x with the respect to y, we will get:

dx/dy = y² + 1/4

Substituting this into the arc length formula, we get:

L = ∫[1,3] sqrt[1 + (y² + 1/4)²] dy

We can simplify this expression by expanding the square and combining like terms:

L = ∫[1,3] sqrt[(16y⁴ + 8y² + 1)/16] dy

L = (1/4) ∫[1,3] sqrt(16y⁴ + 8y² + 1) dy

To evaluate this integral, we make the substitution u = 4y² + 1, which gives us du/dy = 8y and dy = du/8y. Substituting this to integral, we wii get:

L = (1/32) ∫[5,37] sqrt(u) du

L = (1/48) [u⁽³/²⁾]_[5,37]

L = (1/48) [(37⁽³/²⁾ - 5⁽³/²)]

L ≈ 6.1

Therefore, the length of the curve is approximately 6.1 units.

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Recall that the graph of h(x+n) is the graph of h(x) translated n units to the left, therefore, the graph of

is the graph of

translated 1 unit to the left.

Answer:

The probability of being a senior is the total number of seniors divided by the total number of students.

The probability of a student walking given that they are seniors can be calculated using Bayes' theorem. Bayes' theorem is a formula that relates conditional probabilities to their inverses. The formula is: P(A|B) = P(B|A) P(A) / P(B)where P(A|B) is the probability of event A given that event B has occurred. In this case, A is "walking" and B is "senior." P(B|A) is the probability of being a senior given that the student is walking, P(A) is the probability of walking, and P(B) is the probability of being a senior. We can also represent the above formula in the form of a tree diagram, where P(walk | senior) is one branch of the tree.

The probability of being a senior is represented by the root of the tree, while the probability of walking is represented by a branch from the root. The probability of walking given that the student is a senior is calculated by dividing the probability of a senior walking by the probability of being a senior. The probability of walking can be calculated by adding up the probabilities of walking for each grade level and dividing by the total number of students.

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Therefore, the series does not satisfy the necessary condition for convergence, which states that the terms should approach zero.

To determine whether the series converges or diverges, we need to examine the behavior of the terms as the series progresses. Let's analyze the given series:

=2/5 - 2/6 + 2/7 - 2/8 + 2/9

We can rewrite the series by grouping the terms:

=(2/5 - 2/6) + (2/7 - 2/8) + 2/9

To determine the convergence or divergence of the series, we need to evaluate the limit of the terms as the series progresses.

Term 1: 2/5 - 2/6

= (12 - 10)/30

= 2/30

= 1/15

Term 2: 2/7 - 2/8

= (16 - 14)/56

= 2/56

= 1/28

Term 3: 2/9

As we can see, the terms are positive and decreasing as the series progresses. However, the terms do not approach zero.

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The answer is 3y.

Repeat the question in your answer. "We need to subtract the polynomials (7y+5)-(4y+5)."

Subtract the terms with the same variable and the same degree. In this case, you need to subtract 7y and 4y, and 5 and 5.

Write the subtraction in the form of an equation.

"7y - 4y = 3y" and "5 - 5 = 0"

Write the final answer. "The result of subtracting the polynomials is 3y + 0, or simply 3y."

So the final answer is 3y.

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Answer:

95 in.²

Step-by-step explanation:

Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle

Area of triangle = ½*base*height

base = 5 in.

height = 7 in.

Area of triangle = ½*5*7 = 17.5 in.²

Area of rectangle = Length*width = 5*5 = 25 in.²

Plug in the values

Total surface area of the rectangular pyramid = 4(17.5) + 25

= 95 in.²

So, the gradient vector field of f is (∇f) = (cos(5y/z), -5x sin(5y/z)/z, 5xy sin(5y/z)/z^2).

To find the gradient vector field of the function f(x, y, z) = x cos(5y/z), we need to calculate the partial derivatives with respect to each variable and combine them into a vector.

The gradient vector is defined as:

∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Taking the partial derivatives of f(x, y, z) with respect to each variable:

∂f/∂x = cos(5y/z)

∂f/∂y = -5x sin(5y/z)/z

∂f/∂z = 5xy sin(5y/z)/z^2

Putting these partial derivatives together, we have:

∇f = (cos(5y/z), -5x sin(5y/z)/z, 5xy sin(5y/z)/z^2)

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Answer:

0.8

Step-by-step explanation:

0.3t = 0.24

divide both sides by 0.3

t = 0.8

Answer:

QV = 36 UNITS

Step-by-step explanation:

Centroid of a triangle divides the median in the ratio 2 : 1.

QU is the median and V is Centroid. Therefore,

QV : VU = 2 : 1

Let QV = 2x & VU = x

QV + VU = QU

2x + x = 54

3x = 54

x = 54/3

x = 18

QV = 2x = 2*18 = 36

Answer:

30 Mangoes

Step-by-step explanation:

30 is 1/3 of 90.

Answer: Esther has sold 30 mangoes

Step-by-step explanation:

An easy way to solve is dividing 90 by 3

Answer: inverse

Step-by-step explanation: inverse is the relationship between the variables in the table a direct variation.

To find volume of the solid obtained by rotating the region bounded by the curves x = −3y² + 9y − 6 and x = 0 about the x-axis, using method of cylindrical shells. The integral  becomes V = \(\int\limits^2_1 {2\pi y*[-3y^{2} =\\9y-6]} \, dy\)

First, we need to find the intersection points of the two curves. By setting the equations equal to each other, we get −3y² + 9y − 6 = 0. Simplifying, we have 3y² - 9y + 6 = 0, which further simplifies to y² - 3y + 2 = 0. Factoring this quadratic equation, we get (y - 1)(y - 2) = 0. Therefore, the curves intersect at y = 1 and y = 2.

To find the volume, we integrate the circumference of each cylindrical shell from y = 1 to y = 2. The circumference of each shell is given by 2πy.

The height of each shell is the difference between the x-values of the two curves at a specific y-value. The integral for the volume becomes V = \(\int\limits^2_1 {2\pi y*[-3y^{2} =\\9y-6]} \, dy\).

By evaluating this integral, we can determine the volume of the solid obtained by rotating the region about the x-axis.

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Answer:1440 degrees

Step-by-step explanation:

The interior angles of a decagon is 1440 degrees. All sides are the same length (congruent) and all interior angles are the same size.

Answer:

Step-by-step explanation: Only one solution

To solve this, first combine like terms.

6x + 4x - 6 = 24 + 9x

10x - 6 = 24 + 9x

Then move all like terms to one side.

10x - 9x = 24 + 6

x = 30

Answer:

-3

Step-by-step explanation:

go up by 1 on x axis and down by 1 on y axis till you get to 8 on the x axis and the number on the y axis will be -3.

When a buh wa firt planted in a garden,it wa 12 inche tall. After two week, it wa 120% a tall a when it wa firt planted. Tall wa the buh after the two week is   \(\\26 \frac{2}{5}\).

What is improper fractions?

An improper fraction is a fraction whose numerator is equal to or greater than its denominator. 3/4, 2/11, and 7/19 are proper fractions, while 5/2, 8/5, and 12/11 are improper fractions.

12 times 120% + 12

12*120%+12

\($$\begin{aligned}& 120 \% \text { in fractions: } \frac{6}{5} \\& =12 \times \frac{6}{5}+12\end{aligned}$$\)

Follow the PEMDAS order of operations

Multiply and divide (left to right) \($12 \times \frac{6}{5}: \frac{72}{5}$\)

\(=\frac{72}{5}+12$$\)

Add and subtract (left to right) \($\frac{72}{5}+12: \frac{132}{5}$\)

\(=\frac{132}{5}$$\)

Convert improper fractions to mixed numbers: \($\frac{132}{5}=26 \frac{2}{5}$\)

\(=26 \frac{2}{5}$$\)

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We know that 6x(-7) is -42 and we also know that 6+(-7) is -1.

So we can write

\(x^2+6x-7x-42\)

\(x(x+6)-7(x+6)\)

\((x-7)(x+6)\)

So our solutions are \(x=7,-6\)

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we can integrate the function from the lower bound of θ to the upper bound of θ and take the absolute value of the integral.

To find the area of the region formed by two petals of r = 8sin(3θ), we can integrate the function over the appropriate range of θ and take the absolute value of the integral. To find dy/dx for the given parametric equations x = t^(1/3) and y = 3 - t, we differentiate y with respect to t and x with respect to t and then divide dy/dt by dx/dt.

To find the area of the region interior to r = 9 + 7sin(θ) below the polar axis, we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|. In this case, the lower bound and upper bound of θ will depend on the range of values where the function is below the polar axis. By integrating the expression, we can find the area of the region. To find the area of the region formed by two petals of r = 8sin(3θ), we need to evaluate the integral ∫[lower bound to upper bound] |1/2 * r^2 * dθ|.

The lower bound and upper bound of θ will depend on the range of values where the function forms the desired shape. By integrating the expression, we can calculate the area of the region. To find dy/dx for the parametric equations x = t^(1/3) and y = 3 - t, we differentiate both equations with respect to t. Taking the derivative of y with respect to t gives dy/dt = -1, and differentiating x with respect to t gives dx/dt = (1/3) * t^(-2/3). Finally, we can find dy/dx by dividing dy/dt by dx/dt, resulting in dy/dx = -3 * t^(2/3).

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Answer:144

Step-by-step explanation:

First find the area of that shape

24x48=1152

then reduce

1152/8=144