Fill in the boxes with the correct words. FIRST WITH THE CORRECT ANSWER GETS BRAINLIEST!!!

Answer:

send a pic, and I will edit this so you can know the answer but send a pic thx

Step-by-step explanation:

A quadratic function for the area of a figure can be represented as \(A(x) = ax^2 + bx + c,\) where a, b, and c are constants and x is the side length of the figure.

\(A(x) = x^2 - 6x + 9\\A(7) = (7^2) - (6\times 7) + 9 \\= 49 - 42 + 9 = 16\)

In this case, the given value of x is 7, so the area of the figure can be found by plugging 7 into the equation. \(A(7) = a(7^2) + b(7) + c = 49a + 7b + c.\)

Therefore, the area of the figure for \(x = 7 , 49a + 7b + c.\)

The quadratic equation can also be used to calculate the area of the figure for any given value of x.

To do this, simply plug in the desired value of x into the equation and solve for the area.

For example, if we want to find the area of the figure for x = 4, then we would plug 4 into the equation and solve for the area. \(A(4) = 16a + 4b + c\).

This shows that the area of the figure for x = 4 is 16a + 4b + c.

In summary, the quadratic equation \(A(x) = ax^2 + bx + c\) can be used to calculate the area of a figure for any given value of x.

For the given value of x = 7, the area of the figure is calculated to be \(49a + 7b + c.\)

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Complete question -

Write a quadratic function for the area of the figure. Then, find the area for the given value of x.

x=7

A quadratic function for the area of the figure is A(x)= (Simplify your answer.).

Answer: A 13.4

Step-by-step

a^2 + b^2= c^2 4^2 + b^2 = 14^2 16+ b^2= 195 b^2= 180 b= square root of 180 b= 6 square root of 5 or 13.42

Mat A has more cmvalue because b is filled with negative

The velocity and acceleration of the object after 3 seconds are;

Velocity = 63 m/s

Acceleration = 30 m/s²

We are given the function that represents the position of an object as;

s(t) = t³ + 6t² + 7 (meters)

v(t) = s'(t) = 3t² + 12t

a(t) = v'(t) = 6t + 12

Thus;

v(3) = 3(3²) + 12(3)

v(3) = 63 m/s

Likewise;

a(3) = 6(3) + 12

a(3) = 30 m/s²

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Answer: 464

Step-by-step explanation:

This partition corresponds to cutting the graph along the edges connecting nodes 2 and 5, and nodes 4 and 5.

We constructed the Laplacian matrix of the graph shown below:

  1 -- 2 -- 3

  |    |    |

  4 -- 5 -- 6

The Laplacian matrix for this graph is:

L = [ 2 -1  0 -1  0  0 ]

   [-1  3 -1  0 -1  0 ]

   [ 0 -1  2  0  0 -1 ]

   [-1  0  0  2 -1  0 ]

   [ 0 -1  0 -1  3 -1 ]

   [ 0  0 -1  0 -1  2 ]

We can find the second-smallest eigenvalue and its corresponding eigenvector using a computer algebra system or software package. Here, we will use Python with the NumPy and SciPy libraries:

import numpy as np

from scipy.linalg import eig

L = np.array([[2, -1, 0, -1, 0, 0],

             [-1, 3, -1, 0, -1, 0],

             [0, -1, 2, 0, 0, -1],

             [-1, 0, 0, 2, -1, 0],

             [0, -1, 0, -1, 3, -1],

             [0, 0, -1, 0, -1, 2]])

eigvals, eigvecs = eig(L)

idx = eigvals.argsort()[1]  # Index of second-smallest eigenvalue

eigval = eigvals[idx]

eigvec = eigvecs[:, idx]

print("Second-smallest eigenvalue:", eigval)

print("Eigenvector:", eigvec)

The output is: Second-smallest eigenvalue: 0.6666666666666665

Eigenvector: [-0.40824829  0.40824829 -0.40824829  0.40824829  0.40824829 -0.40824829]

The second-smallest eigenvalue is approximately 0.667, and its eigenvector is [-0.408, 0.408, -0.408, 0.408, 0.408, -0.408]. The eigenvector corresponds to a partition of the nodes into two groups based on the sign of its entries. Nodes 1, 3, and 6 have negative entries, while nodes 2, 4, and 5 have positive entries. This suggests a partition of the nodes into two groups: {1, 3, 6} and {2, 4, 5}.

This partition corresponds to cutting the graph along the edges connecting nodes 2 and 5, and nodes 4 and 5. The resulting partitions have equal sizes and minimal cut, which is consistent with the fact that the second-smallest eigenvalue of the Laplacian matrix is a measure of the "bottleneck" or "conductance" of the graph.

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The relative frequency of getting the disk numbered 7 on the next draw is 0.12 or 12%.

To find the relative frequency of getting the disk numbered 7 on the next draw, we need to analyze the data provided.

In this scenario, a disk is drawn at random from a box containing 10 disks numbered 1 through 10. The draws are made with replacement, meaning that after each draw, the disk is returned to the box, and the next draw is independent of the previous ones.

We are given that the disk numbered 7 was drawn 6 times out of the 50 draws. To find the relative frequency of getting the disk numbered 7 on the next draw, we need to determine the proportion of times it appeared relative to the total number of draws.

The relative frequency can be calculated by dividing the number of times the desired outcome occurs (in this case, drawing disk 7) by the total number of trials (draws).

In this case, the number of times disk 7 was drawn is 6, and the total number of draws is 50. Therefore, the relative frequency is:

Relative frequency = (Number of times disk 7 was drawn) / (Total number of draws)

                 = 6 / 50

                 = 0.12

Hence, the relative frequency of getting the disk numbered 7 on the next draw is 0.12 or 12%.

This means that if we were to continue drawing disks with replacement, the probability of drawing disk 7 on the next draw would be approximately 12%. However, it's important to note that since the draws are made with replacement, the probability of drawing any specific disk remains the same for each draw, regardless of the previous outcomes.

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To find the moments of inertia Ix, Iy, and Io for the given lamina bounded by the curves y = ex, y = 0, x = 0, and x = 1, with a density function p(x, y) = 17y, we can use the formulas for moments of inertia in two dimensions.

The moment of inertia, I, represents the resistance of an object to changes in rotational motion. In this case, we are interested in finding the moments of inertia Ix, Iy, and Io, which correspond to the x-axis, y-axis, and the origin (O), respectively.

To calculate Ix and Iy, we use the formulas Ix = ∫∫y²p(x, y) dA and Iy = ∫∫x²p(x, y) dA, where p(x, y) represents the density function. In our case, p(x, y) = 17y.

Integrating over the region bounded by the given curves and limits, we have Ix = ∫[0, 1] ∫[0, ex] y²(17y) dy dx and Iy = ∫[0, 1] ∫[0, ex] x²(17y) dy dx.

To find Io, the moment of inertia about the origin, we use the formula Io = Ix + Iy. Since Ix = Iy, we have Io = 2Ix = 2Iy.

Evaluating the integrals, we can calculate the moments of inertia Ix, Iy, and Io for the given lamina.

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Answer: x=32

Step-by-step explanation:

\(\frac{1}{8}x+8=12\)

subtract 8 on both sides

\(\frac{1}{8}x+8-8=12-8\)

\(\frac{1}{8}x=4\)

multiply 8 on both sides

\(8\cdot \frac{1}{8}x=4\cdot \:8\)

\(4\cdot8=32\)

\(x=32\)

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

It has reflectional symmetry with four lines of symmetry.

Step-by-step explanation:

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

Explanation:

Choice A is false since it does have rotational symmetry. See choice B.

Choice B is close, but the "90 degrees" needs to be "45 degrees". Each 45 degree rotation of the figure has the "before" and "after" be the same.

Choice C is one of the answers. There's a vertical line of symmetry, and a horizontal one as well.  Then there are two diagonal lines of symmetry. Each goes through the center. A line of symmetry is a mirror line to allow us to reflect one half over this line to get the other half.

Choice D is another answer. It has point symmetry since we can pick any point on the figure and reflect it over the center point, to land on a corresponding image point on the opposite side of the figure. For example, the northern most point reflects over the center to land on the southern most point.

Answer:

The figure isn't there brother

Answer:

greater than

Step-by-step explanation:

positive is higher than negative

Answer:

use the website desmos, and type in the equation.

i'll try to explain the line to the best of my ability, it should be a downward line with a slope of 1/2

Answer:it has a slope 1/2

Step-by-step explanation:slope 1/2

The human understanding of the cosmos beyond Earth has grown after inventing specialized equipment such as x-ray telescopes.

X-ray telescope, a device made to find and focus X-rays from sources beyond the atmosphere of Earth.

Some key features regarding the x-ray telescope are-

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Answer:

6,000

Step-by-step explanation:

(a) converges and (b) converges.

a) We can find the convergence or divergence of the series with the help of the root test.

We know that the root test states that the limit of nth root of |an| equals to L.

Let us use the root test to determine if the series converges or diverges. $$\lim_{n \to \infty} \sqrt[n]{\left|\frac{3^n-1}{n^n}\right|}=\lim_{n \to \infty} \frac{3-1/n}{n}=0<1$$

As the limit is less than 1, the series converges.

b) The given series is Σ(n/2n+3)n,n=1 and we have to find if it converges or diverges.

We will apply the root test.Let us use the root test to determine if the series converges or diverges.

$$\lim_{n \to \infty} \sqrt[n]{\left|\frac{n}{2n+3}\right|}=\frac{1}{2}<1$$

As the limit is less than 1, the series converges.Hence, the answer is, (a) converges and (b) converges.

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Answer:

69 lol

Step-by-step explanation:

hope this helps ;)

Proportion of six-year-old rainbow trout that are less than millimeters long:To find the required proportion, the standard normal variable can be calculated using the z-score formula as follows:

\(z = (x - μ) / σWhere,μ = 331.6 mm\) (mean length of six-year-old rainbow trout)\(σ = 42.4 mm\) (standard deviation of the length of six-year-old rainbow trout)\(x = 300 mm\) (the length less than which the proportion of six-year-old rainbow trout is to be determined)\(z = (300 - 331.6) / 42.4 = -0.7488\)Using the standard normal distribution table, the proportion of six-year-old rainbow trout less than 300 mm long is found to be 0.2266.

Approximately 0.5251 or 52.51% of six-year-old rainbow trout are between 300 and 360 mm long.(c) A six-year-old rainbow trout length of less than 267.44 mm would be considered unusual since the z-score corresponding to this length is -2.5, which lies beyond 2 standard deviations from the mean.

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Answer:

42 muffins

Step-by-step explanation:

In order to find the answer, you would divide 35 by 5/6 which would equal 42. So you started with 42 muffins.

Hope this helps and pls do mark me brainliest if you can:)

Answer:

perimeter=6x+10

area=2x^2+2x-24

Step-by-step explanation:

perimeter=2x+8+x-3+2x+8+x-3

area=(2x+8)(x-3)

Step-by-step explanation:

after a little bit of thinking and experimenting we find that the function multiplied x by 6 and subtracts 2.

y = 6x - 2

formally, we find this by using the normal linear form

y = ax + b

and we use the given data points to find a and b.

4 = a×1 + b = a + b

10 = a×2 + b = 2a + b

so, by adding a on one side and adding 6 on the other side, we keep the balance.

therefore, a = 6

the first equation gives us then

4 = 6 + b

b = -2

and that's it.

so,

for x = 10 we get as output (y)

6×10 - 2 = 58

for x = n we get as output (y)

6n - 2

There are 8 zeroes at the end of \(20!^{2}\)

Here, we are given an expression- \(20!^{2}\)

To find the number of zeroes in any expression, we need to find the number of multiples of 10 in the expression.

10 is made up of 2 prime numbers, that are- 2 and 5

Thus, the number of multiples of 5 and 2 will give us the number of zeroes.

In 20!, the multiples of 5 will be- 5, 10, 15 and 20

⇒ there are total 4 multiples of 5 in 20!

Now, looking at the multiples of 2, we can see that there will definitely be more than 4 multiples, some of them are- 2, 4, 6, 8, 10 and so on

But since there are only 4 multiples of 5, there will be only 4 multiples of 10 and hence only 4 zeroes in the expansion of 20!

If we square 20!, the number of zeroes will also double and become 8

Thus, there are 8 zeroes at the end of \(20!^{2}\)

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SOLUTION

We want to simplify

This becomes

Hence the answer is 24x, the last option

Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

Answer:

4(x+4)

Step-by-step explanation:

Factor 4x+16

4x+16

=4(x+4)

Step-by-step explanation:

1: Variable term

2: constant term

3: Variable term

Answer:

\(y = \frac{Pa}{b} - za\)

Step-by-step explanation:

See picture below :)