Factor completely.
n^2 + 7 n - 44

A) (n + 4)(n - 11)
B) (n - 4)(n + 11)
C) (n - 4)(n - 11)

Answer: 103 Feet

Step-by-step explanation:

Answer:

(-2,3/2)

Step-by-step explanation:

The formula for midpoint = (x1 + x2)/2, (y1 + y2)/2. Substituting in the two x coordinates and two y coordinates from the endpoints.

Answer:

1,2,5,10,20 and 80

Step-by-step explanation:

The function f with its inverse function \(f^{-1}\) is equal to the identity function. The value of \(f^{-1}(4)f\) is equal to 4.

To determine the value of \(f^{-1}\)(4)f−1(4)f, we would need to know the function f and its inverse function \(f^{-1}\).

In this case, we are asked to find \(f^{-1}\)(4)f−1(4)f, start superscript minus 1, end superscript, left parenthesis 4, right parenthesis. This means we need to find \(f^{-1}(4)\) and then plug that value into the original function f.

Now, \(f(f^{-1}(4))\) can be simplified as follows:

\(f(f^{-1}(4)) = 4\)

This is because \(f^{-1}(4)\) is the input that produces an output of 4, and then f is applied to that input to produce the same output.

Multiplying \(f^{-1}(4)\) by f is equivalent to evaluating the function f at the point \(f^{-1}(4)\). Thus, we have:

\(f(f^{-1}(4)) = 4\)

This means that the composition of the function f with its inverse function \(f^{-1}\) is equal to the identity function. Therefore, the value of \(f^{-1}(4)f\) is equal to 4.

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The axis and angle always uniquely defined for a rotation As we know that, From the Euler's rotation theorem

What is Angle?

An angle is a figure created by two rays, known as the angles' sides, that share a common terminus, known as the angle's vertex. Angles formed by two rays are located in the plane containing the rays. Angles are also generated when two planes intersect. These are known as dihedral angles.

a)  As we know that, From the Euler's rotation theorem, we know that any rotation can be expressed as a single rotation about some axis. The axis is the unit vector (unique except for sign) which remains unchanged by the rotation. The magnitude of the angle is also unique, with its sign being determined by the sign of the rotation axis.

b)

\(\sqrt{3/2}x^{2} +1/2(\sqrt{3-1}x^{2} =x^{2} \\\\\sqrt{3/2}x^{2} +\sqrt{3/2} x^{2} - 1/2x^{2} =x^{2}\)

now using x = 0 will get xcube =0 but x cos x square one should be non zero because eigen vector always non zero so take aribatary

A rotation's axis and angle are always uniquely determined. As we know from Euler's rotation theorem,

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Answer: This means that the amount of whatever you have is going up.

Step-by-step explanation:

Increases means going up

Decrease means going down

Answer:

A & B????

Step-by-step explanation:

Answer:

A and B!

Step-by-step explanation:

I took the usa test prep :)

The cost of the shoes is $19.

Here are the system of equations that represent the question:

x + y = 46 equation 1

y = x - 8 equation 2

The substitution method would be used to solve these equations

Substitute for y in equation 1

x + x - 8 = 46

Combine similar terms: x + x = 46 - 8

Add similar terms together: 2x = 38

Divide both sides of the equation by 2: x = 38/2

x = 19

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Answer:

Follow the equations from the person above me, but instead the cost of the shoes is 27.

Step-by-step explanation:

Answer:

the answer is 12

Step-by-step explanation:

you substitute the y with 12

Finding the area of the circle of spilled juice as a function of time is: j(t) = πr(t)²

An equation is mathematical statement that asserts  equality of two expressions. It contains one or more variables, and typically consists of terms on either side of equals sign.

Part A:

Let the radius of the circular pattern be r at time t. Then, we have:

j = πr²

Taking the derivative of both sides with respect to time, we get:

dj/dt = 2πr(dr/dt)

Since the rate of change of the radius is unknown, we can express it in terms of the rate of change of j:

dr/dt = (1/2πr)(dj/dt)

Substituting this expression for dr/dt back into our original equation, we get:

j = πr²

dj/dt = π(2r)(dr/dt)

dj/dt = 2πr(dr/dt)

dj/dt = 2πr(1/2πr)(dj/dt)

dj/dt = dj/dt

Therefore, the area of the spilled juice as a function of time is:

j(t) = πr(t)²

Part B:

If we assume that the rate of change of the radius is constant over the first 2 minutes, we can use the formula for the area of a circle to find the area of the spilled juice after 2 minutes:

j(2) = πr(2)²

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The expression which is equal to the given complex fraction will be

(2-(1/y)/3+(1/y)=(2y-1)/(3y+1)

The complex fraction will be defined as the expression containing the fractions in their numerator and denominator or at least one of them like either numerator or denominator containing fraction in it.

now we have to find the solution to the given expression:

\(=\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }\)

\(=\dfrac{\dfrac{2y-1}{y} }{\dfrac{3y+1}{y} }\)

\(=\dfrac{2y-1}{3y+1}\)

Hence the expression which is equal to the given complex fraction will be

\(\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} }= \dfrac{2y-1}{3y+1}\)

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Answer:

D

Step-by-step explanation:

edge 2022

Answer:

A=1\8

c=4

then b=2

i am only do this by getting fun and do for help other

The value of [b] if a = 1/8 and c = 4 will be 33/16.

The mean of two numbers [a] and [b] is -

[M] = (a + b)/2

Given is that a = 1/8 and c = 4.

We have the following values -

a = 1/8

c = 4

Therefore, we can write the value of [b] as -

b= (1/8 + 4)/2

b = (33/8)/2

b = 33/8 x 1/2

b = 33/16

Therefore, the value of [b] if a = 1/8 and c = 4 will be 33/16.

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Larger number: 12

Smaller number: 1

Let Statements:

Let x = the larger number

Let 1/2x - 5 = the smaller number

Equation:

x + (1/2x - 5) = 13

1.5x - 5 = 13

1.5x = 18

x = 12

Solutions:

The larger number = x = 12

The smaller number = 1/2x - 5 = 1/2(12) - 5 = 6 - 5 = 1

Step-by-step explanation:

0.0003÷0.0000000009=

333,333.33333333

Hence the given statement if p is an invertible m x m matrix, then rank PA = rank A is proved.

what is invertible matrix?

An invertible matrix is a matrix for which matrix inversion operation exists, given that it satisfies the requisite conditions.

proof:

Let A be an m × m matrix and P be an invertible m × m matrix.

We know that Rank(A) is the number of non-zero rows in A based on the definition of matrix rank.

Therefore,

Rank(PA) = Number of non-zero rows in PA

Therefore,

Rank(PA) = Number of non-zero rows in PA

               = Number of non-zero rows in A

               = Rank(A)

Hence, we can conclude that if P is an invertible m × m matrix, then Rank(PA) = Rank(A).

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Answer:

217 because it seems like the most valid thing. also i asked my sister and she said its this and shes in highschool and good in math so i believe her

Answer:

A, E

Step-by-step explanation:

To name a triangle, you must name 3 of its angles.

B, C and D all do not contain 3 letters, so it was impossible for any of them to be correct without even checking.

A (KEJ) and E (JKE) are both names for the triangle because they are a collection of 3 unique letters and they all describe angles of the triangle.

The coordinates of the image of the vertices of the polygon are A''(x, y) = (1, - 2), B''(x, y) = (2, - 2), C''(x, y) = (0, - 1), D''(x, y) = (- 1, - 2) and E''(x, y) = (- 2, - 1).

Rigid transformations are transformations applied on geometric loci such that Euclidean distances in such constructions are conserved. Translations and dilations are common examples of rigid transformations.

If we know that A(x, y) = (- 6, 0), B(x, y) = (- 3, 0), C(x, y) = (0, - 3), D(x, y) = (- 3, - 6) and E(x, y) = (- 6, - 3), then the coordinates of the image are determined below:

Translation

A'(x, y) = (- 6, 0) + (9, - 6)

A'(x, y) = (3, - 6)

B'(x, y) = (- 3, 0) + (9, - 6)

B'(x, y) = (6, - 6)

C'(x, y) = (0, - 3) + (9, - 6)

C'(x, y) = (9, - 9)

D'(x, y) = (- 3, - 6) + (9, - 6)

D'(x, y) = (6, - 12)

Dilation

A''(x, y) = (1 / 3) · (3, - 6)

A''(x, y) = (1, - 2)

B''(x, y) = (1 / 3) · (6, - 6)

B''(x, y) = (2, - 2)

C''(x, y) = (1 / 3) · (0, - 3)

C''(x, y) = (0, - 1)

D''(x, y) = (1 / 3) · (- 3, - 6)

D''(x, y) = (- 1, - 2)

E''(x, y) = (1 / 3) · (- 6, - 3)

E''(x, y) = (- 2, - 1)

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Answer:39 years ago

Step-by-step explanation:The difference between his age and his sister's is 4.So when he was 8 she 4.So you do 47-8 which is 39.

Answer:

Please post your question.

Step-by-step explanation:

I can help! But you either need to comment your question or create another post.

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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If the radius of the base of a cone is decreasing at rate of 2 cm/minute and the height is kept constant at 9 cm, the rate of change of the volume at radius 13 cm is 489.4 cm³/minute

To calculate the rate of change, we need to take the derivative of the variables with respect to time.

The volume of a cone is given by:

V = 1/3 . πr²h

Where:

r = radius of the base

h = height

Since the height of the cone is held constant, then the derivative with respect to time is:

dV/dt = 1/3 h. 2πr dr/dt

Parameters given:

dr/dt = 2 cm/minute

h = 9 cm

r = 13 cm

Hence,

dV/dt = 1/3 x 9 x 2π x 13 x 2

dV/dt = 489.4 cm³/minute

Hence, at radius 13 cm, the rate of change of the volume is 489.4 cm³/minute

It looks like there was typos in your question, most probably your question was:

The radius of the base of a cone is decreasing at a rate of 2 centimeters per minute. The height of the cone is fixed at 9 centimeters. At a certain instant, the radius is 13 centimeters. What is the rate of change of the volume of the cone at that instant (in cubic centimeters per minute)?

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We know that we have completely solved a two-step equation if the variable, usually represented. Then, we eliminate the number “closest” to the variable.

I Hope it helps! o.o

Answer:

-21

Step-by-step explanation:

Answer:

b I think it's 7 hope I'm right

Answer:

(1.4, 2.5)

Step-by-step explanation:

\(y = x + 1\) ... equ 1

\(y =3x - 2\) ... equ 2

subtract equ 1 from 2, we'll have

\(0 = 2x - 3\)

\(2x = 3\)

\(x= 3/2 = 1.5\)

substitute the value of \(x\) in equ 1, we'll have

\(y = 1.5 +1\)

\(y = 2.5\)

therefore, solution to the system of the equation is (1.5, 2.5)

the closest in your option is (1.4, 2.5)

The probability that the machine will be working is (b) 0.795.

The probability of success in x trials under a binomial distribution is given by:-

P( X = x) = \(^{n}C_{x}p^{x}(1-p)^{n-x}\)

,where n is the overall number of trials and p is the likelihood that each trial will be successful.

Given,

Probability that the component will fail, p = 0.2

n = 12

Let the no. of component that stop working = x

Due to the fact that if more than three components fail, the machine would stop functioning.

The likelihood that the device will malfunction then is:

P( X > 3) = 1 - P(X ≤ 3)

= 1 - [ P(0) + P(1) + P(2) + P(3) ]

\(= 1 - [ ^{12}C_{0}(0.2)^{0}(0.8)^{12}+^{12}C_{1}(0.2)^{1}(0.8)^{11} +^{12}C_{2}(0.2)^{2}(0.8)^{10} +^{12}C_{3}(0.2)^{3}(0.8)^{9} ]\)

\(= 1-[ (1)(0.8)^{12}+(12)(0.2)(0.8)^{11} + \frac{12!}{2!10!}(0.2)^{2} (0.8)^{10}+ \frac{12!}{3!9!}(0.2)^{3} (0.8)^{9}]\)

\(= 1 - (0.068719476736+0.206158430208+0.283467841536+0.23622320128)\)

= 1 - 0.79456894976

= 0.20543105024

≈ 0.205

P(machine is working) = 1 - 0.205

                                     = 0.795

The probability that the machine will stop working is 0.205.

Hence, The probability that the machine will be working is 0.795.

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Answer: >500

Step-by-step explanation: