Set up, but do not integrate, an integral expression for the
area between f(x)=x^3 and F(x)=x.
F(x)=x is a capital F

Answer:

x is greater than or equal to -26

Step-by-step explanation:

We can use distributive property to solve the equation.

-6(x+4) in distributive property is:  -6x-24

-6x-24 is less than or equal to -5x+2

+6x                                             +6x

-24 is less than or equal to x+2

-2                                              -2

-26 is less than or equal to x

This means x is greater than or equal to -26

On the graph you would put a closed circle on -26 and point to the right.

Hope this helps! Good luck on your quiz!

Answer:

333

Step-by-step explanation:

1/3x5= 1.66

Answer:

333

Step-by-step explanation:

i need points lol

Answer:

-71r-72

Step-by-step explanation:

8(-10r-9)+9r

Distribute the 8

-80r -72  +9r

Combine like terms

-80r+9r   -72

-71r-72

Answer:

(-3, 5)

Step-by-step explanation:

This is because it is on the same point on the opposite side of the grid

-Please let me know if I am wrong so I can improve

- have a nice day

-3,5 is the answer for the other side

Answer: 5x^{2} +3x + 4

Hope this helped! :)

Answer:

(X^2 + 2x + 7) + (4x^2 + x - 3) =

x^2 + 2x + 7 + 4x^2 + x - 3 =

5x^2 + 3x + 4

The equation of the circle centered at the origin and passing through the point (-4,0) is \(x^2+y^2=16\).

Equation of a circle

A circle may also be defined as a special kind of ellipse in which the two foci are coincident, the eccentricity is 0, and the semi-major and semi-minor axes are equal.

We know that,

Equation of the circle passing through the origin is given by:-

\(x^2+y^2=r^2\)

Where,

r is the radius of the circle, and

(x,y) are the coordinates of each point of the circle.

Hence, we can write,

The radius of the circle will be :-

\(\sqrt{(0-(-4))^2+(0-0)^2} =\sqrt{ 4^2+0^2} =\sqrt{16}=4 units\)

Hence, r = 4 units.

Hence, the equation of the circle is given by:-

\(x^2+y^2=16\)

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Answer:

3 is known as the power of 2.

Answer:

The three is the exponent, it is also called power so 2 to the power of 3

Step-by-step explanation:

Proving the uniqueness of L (or R) in Cholesky decomposition of symmetric positive definite matrix A by assuming L1 and L2, and showing that L1 = L2 using A's positive definiteness and unique Cholesky decomposition.

To prove that the lower triangular matrix L in the Cholesky decomposition is unique, we assume that there exist two lower triangular matrices L1 and L2 such that \(A= L1L1^T = L2L2^T\). We need to show that L1 = L2.

We can start by observing that \(L1L1^T = L2L2^T\) implies that\(L1^T = (L2L2^T)^{-1} L2\). Since L1 and L2 are both lower triangular, their transpose is upper triangular, and the inverse of an upper triangular matrix is also upper triangular. Thus, \(L1^T\) and L2 are both upper triangular.

Now, let \(L = L1^T L2\). Since L1 and L2 are lower triangular, L is also lower triangular. Then we have:

\(LL^T = L1^T L2\;\; L2^T (L1^T)^T = L1^T L2\;\; L2^T L1 = L1 L1^T = A\)

where we have used the fact that L1 and L2 are both lower triangular and their transposes are upper triangular. Thus, we have shown that L is also a lower triangular matrix that satisfies \(A = LL^T\).

To show that L1 = L2, we use the fact that A is positive definite, which implies that all of its leading principal submatrices are also positive definite.

Let A1 be the leading principal submatrix of A of size k, and let L1,k and L2,k be the corresponding leading principal submatrices of L1 and L2, respectively. Then we have:

\(A1 = L1,k L1,k^T = L2,k L2,k^T\)

Since A1 is positive definite, it has a unique Cholesky decomposition \(A1 = G G^T\), where G is a lower triangular matrix. Thus, we have:

\(G G^T = L1,k L1,k^T = L2,k L2,k^T\)

which implies that G = L1,k and G = L2,k, since both L1,k and L2,k are lower triangular. Therefore, we have shown that L1 = L2, and hence the lower triangular matrix L in the Cholesky decomposition of a positive definite matrix A is unique. A similar argument can be used to show that the upper triangular matrix R in the Cholesky decomposition is also unique.

In summary, we have proved that the lower triangular matrix L (or the upper triangular matrix R) in the Cholesky decomposition of a symmetric positive definite matrix A is unique.

This is done by assuming the existence of two lower triangular matrices L1 and L2 that satisfy \(A= L1L1^T = L2L2^T\), and then showing that L1 = L2 using the fact that A is positive definite and has a unique Cholesky decomposition.

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Step-by-step explanation:

\(x \: as \: the \: first \: piece \\ 2x \: as \: the \: second \: piece \\ 4(2x) = 8x \: as \: the \: third \: piece\)

\(x + 2x + 8x = 440 \\ 11x = 440 \\ x = \frac{440}{11} \\ x = 40 \\ 2x = 2 \times 40 = 80 \\ 8x = 8 \times 40 = 320 \)

Geometric series is convergent if the |r|<1 where r is the common ratio.

Let Sn=∑ni=0(−3/4)i then

Sn=(−3/4)n+1−1(−3/4)−1

Now take n→∞ then

Sn→0−1(−3/4)−1=4/7

because |−3/4|<1 and so (−3/4)n→0. Now note that your sum is

lim ∑i=1n+1(−3)i−14i=lim 14∑i=1n+1(−3)i−14i−1=1/4.lim Sn=1/7.

Geometric series: A geometric series is the result of adding together geometric sequences indefinitely. Depending on the sequence given to us, such infinite sums can either be finite or infinite. A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series frequently reach, reach, or avoid a particular number.

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Answer: 25

Step-by-step explanation:

29-|7-11|

29-|-4|  

29-4  

25                  

The value of 29 - |7 - 11| = 25

We have the following expression -

29 - |7 - 11|

We have to find its value.

We have -

X + | \(\pi\)Y |

Since Y < 0 - therefore \(\pi\)Y < 0

Now -

|a| = - a   { for a < 0}

Therefore -

X -  \(\pi\)Y

According to the question, we have -

29 - |7 - 11|

29 - | -4 |

29 - 4

25

Hence, the value of 29 - |7 - 11| = 25

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Yes.

You can add them together to get 13x.

because you can add them together, they are alike terms.

Answer:

C- 66

Step-by-step explanation:

Multiply the radius (10.5) by 2 and then times that (10.5x2=21) by pi (3.14)

Answer:

C=66

Step-by-step explanation:

C=2pi*r

C=2*pi*10.5

C=21*pi

C=21*3.14

C=65.94

Answer:

2.6 kilometers

Step-by-step explanation:

To find the circumference of a circle, we can use the formula:

Circumference = π * diameter

Given that the diameter of the volcanic crater is 840 meters, we can substitute this value into the formula:

Circumference = π * 840

Using the approximate value of π as 3.14159, we can calculate the circumference:

Circumference = 3.14159 * 840

Circumference ≈ 2643.1796 meters

To convert the circumference to kilometers, we divide the value by 1000:

Circumference in kilometers = 2643.1796 / 1000

Circumference ≈ 2.6432 kilometers

Therefore, the circumference of the rim of the volcanic crater is approximately 2.6 kilometers (rounded to 1 decimal place).

Answer:

slope = 6

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

given

y = 2 + 6(x - 3 ( subtract 2 from both sides )

y - 2 = 6(x - 3) ← in point- slope form

with slope m = 6

Answer:

I don't know

Step-by-step explanation:

because I don't understand which value it T1, T2, T4 etc

Answer:

Its B

Step-by-step explanation:

Answer:

A. 55°

Step-by-step explanation:

So the line goes through two angles, 125° and 55°

Lets check, does the angle look larger than 90°

Remember, 90° mean the line is perpendicular, or goes straight up.

I see that it is not. The angle that is less than 90° (55°) is correct.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The value of r and x in the common ratio of geometric progression is 5/3 and - 3/5

what is Geometric progression ?

Each succeeding term in a sequence known as a geometric progression (GP) is created by multiplying each term in the sequence before it by a fixed number known as a common ratio.

Solution;

we have two equations

r = 6/(3-x)----- [1]

r = (7-5x)/6----- [2]

6/(3-x) = (7-5x)/6

36 = 21 - 22x + 5x^2

5x^2 - 22x - 15 = 0

This can be factored as (5x+3)(x-5) = 0. The two solutions common ratio are x = -3/5, x = 5.

But, x=5 gives r<0, so we choose the 1st solution, x = -3/5.

Substitute in [1] to get he value for r:

r = 6/(3--3/5) = 6/(18/5) = 5/3.

Ans: r = 5/3, x = -3/5

Therefore, The value of r and x in the common ratio of geometric progression is 5/3 and - 3/5.

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Answer:

the answer is c

jajskdks

Answer:

the slope is 3 and the y-int is (0,-6)

Step-by-step explanation:

This is because the equation is made in slope intercept form which is y=mx+b and m is the slope and in the equation y=3x-6 3 takes the place of m so 3 would be the slope. and b is the y intercept so since -6 replaces b in the equation the y intercept is -6

The  upper triangular matrix R is invariant under multiplication by the transpose of Q. This relationship is sometimes referred to as the "QR factorization identity".

If A=QR, where Q is an n×n matrix with orthonormal columns and R is an n×n upper triangular matrix, then we can express A as:

A = QR = Q(QT)R

Since Q has orthonormal columns, its transpose QT is its inverse. Therefore:

Q(QT)R = I_n R = R

where I_n is the n×n identity matrix. So we can see that R is equal to Q(QT)R, which is the product of Q and the transpose of Q. This product is equal to the identity matrix times R, so we can say that:

R = QT R

In other words, the upper triangular matrix R is invariant under multiplication by the transpose of Q. This relationship is sometimes referred to as the "QR factorization identity".

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Answer: 11 ft

Step-by-step explanation:

Given

The boy is standing 40 feet away from the tree

the angle of elevation for the tree is \(32^{\circ}\\\)

the angle of elevation for the bird is \(42^{\circ}\\\)

using figure

\(\frac{h+x}{40}=\tan 42^{\circ}\\h+x=40\tan 42^{\circ}\ldots (i)\\Now,\\\tan 32^{\circ}=\frac{h}{40}\\h=40\tan 32^{\circ}\)

Put the value of h in equation (i)

\(40\tan 32^{\circ}+x=40\tan 42^{\circ}\\x=40[\tan 42^{\circ}-\tan 32^{\circ}]\\x=40[0.9-0.624]=0.276\times 40=11.04\ ft\)

Answer:

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

3(x - 1) = 23 - 5(x + 2) ← distribute parenthesis on both sides

3x - 3 = 23 - 5x - 10

3x - 3 = 13 - 5x ( add 5x to both sides )

8x - 3 = 13 ( add 3 to both sides )

8x = 16 ( divide both sides by 8 )

x = 2

Answer:

x=2

Step-by-step explanation:

The correct answer is: increasing on (-2,2); decreasing on (-6,0); absolute maximum at (2,4); absolute minimum at (-2,-4).

To determine the intervals on which the function is increasing and decreasing, we need to analyze the behavior of the function's derivative. When the derivative is positive, the function is increasing, and when the derivative is negative, the function is decreasing.

Based on the given information, the function is increasing on the interval (-2,2). This means that the function's derivative is positive in that interval.

The function is decreasing on the interval (-6,0), indicating that the function's derivative is negative in that range.

The absolute maximum of the function occurs at the point (2,4), which means that the function reaches its highest value at x = 2, where the y-coordinate is 4.

Similarly, the absolute minimum of the function occurs at the point (-2,-4), indicating that the function reaches its lowest value at x = -2, where the y-coordinate is -4.

In summary, the function is increasing on the interval (-2,2), decreasing on the interval (-6,0), and has an absolute maximum at (2,4) and an absolute minimum at (-2,-4).

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T1 LEFT OUTER JOIN T2 ON T1.P = T2.A    T1.P T1.R T2.A T2.C10   B 6 NULL NULLNULL NULL NULL 7   C T2 JOIN (T1.P = T2.A AND T1.R = T2.C) T2    T1.P T1.R T2.A T2.CNULL NULL NULL NULL NULL NULL NULL NULL

Consider the two tables T1 and T2 and the operations performed on them. The results of the operations are shown above. In the first operation, a LEFT OUTER JOIN is performed on T1 and T2, where the join is made on the basis of T1.P = T2.A. In the second operation, a JOIN is performed on T1 and T2, where the join is made on the basis of T1.P = T2.A AND T1.R = T2.C. The keyword 'LEFT OUTER JOIN' has been bolded in the main answer, while 'JOIN' has been bolded in the supporting explanation.

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a) The minimum number of wins he needs is 15. b) The standard deviation of X is σ = sqrt(Var(X)) ≈ 3.641. c) Standard normal table ≈ 0.411.

In part (a), we can use the formula for a binomial distribution to find the minimum number of wins Sam needs to break even. Let X be the number of wins in 520 spins, then X ~ Bin(520, 1/38). To break even, Sam needs to win at least $520, which means he needs at least m wins where 35m ≥ 520, or m ≥ 14.86. Since m must be an integer, the minimum number of wins he needs is 15.

In part (b), we can use the mean and variance of a binomial distribution to find the mean and standard deviation of X. The mean of X is E(X) = np = 520*(1/38) ≈ 13.684, and the variance of X is Var(X) = np(1-p) = 520*(1/38)*(37/38) ≈ 13.255. Therefore, the standard deviation of X is σ = sqrt(Var(X)) ≈ 3.641.

In part (c), we can use the Normal approximation to the binomial with the continuity correction to find P(X ≥ 15). Using the continuity correction, we can convert the discrete probability P(X ≥ 15) to a continuous probability P(X > 14.5). Standardizing X, we get Z = (14.5 - 13.684) / 3.641 ≈ 0.224. Using a standard normal table, we can find that P(Z > 0.224) ≈ 0.411. Therefore, P(X > 14.5) ≈ 0.411.

This answer is closer to the exact probability of 0.396 than the previous estimate of 0.10 too large, but it still overestimates the probability slightly. This could be due to the fact that the Normal approximation to the binomial assumes a continuous distribution, while the binomial distribution is discrete. Nonetheless, the Normal approximation with continuity correction is a useful tool for approximating probabilities in situations where the sample size is large.

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