Consider sty) FC) where (2? + ") and y = 34" 1 51" use the chain rule to compute + 55 and 33 in terms of u and az Du Note: You can eam partial credit on this problem preview answers

The value of the numerical expression (7 x 3481) will be 24,367.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

7 and 3481

Then the product of the numbers 7 and 3481 will be given by putting a cross sign between them. Then we have

⇒ 7 x 3481

⇒ 24,367

The value of the numerical expression (7 x 3481) will be 24,367.

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Answer:

7 in 12 chance

Step-by-step explanation:

theres 12 pieces and cherry and grape has 7 combined pieces so the chance of you picking a piece that is either cherry or grape is 7/12

(a) An example of a matrix A for which the number of solutions to Ax = b is 0 or 1, depending on b, is a 2x2 matrix with either a nonzero determinant or a zero determinant and a nonzero nullspace.

(b) An example of a matrix A for which the number of solutions to Ax = b is ∞, regardless of b, is a matrix with a zero determinant and a nonzero nullspace.

(c) An example of a matrix A for which the number of solutions to Ax = b is 0 or ∞, depending on b, is a 2x2 matrix with a zero determinant and a nonzero nullspace.

(d) An example of a matrix A for which the number of solutions to Ax = b is 1, regardless of b, is a matrix with a nonzero determinant and a nullspace of zero.

If the determinant of A is nonzero, then there is only one solution to Ax = b, regardless of b.

This type of matrix is known as a singular matrix. The nullspace of such a matrix is nonempty, and since any vector in the nullspace is a solution to Ax = b, there are infinitely many solutions.

If the right hand side of the equation b is orthogonal to the nullspace of A, then the equation Ax = b has no solutions. However, if b lies in the nullspace of A, then the equation Ax = b has infinitely many solutions.

A matrix A for which solutions to Ax = b is 1, regardless of b, is a matrix with a nonzero and a nullspace of zero. This type of matrix is known as a nonsingular matrix, and in this case there is only one solution to Ax = b, regardless of the value of b.

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Answer:

I got 12,148.  Is that an option?

Step-by-step explanation:

98.00 checking account

car (value - outstanding balance) 12,500

plus jewelry $1750

The number of terms summed in this series is 9.

The formula for the sum of an arithmetic series:
S = n/2(2a + (n-1)d)

where S is the sum of the series, a is the first term, d is the common difference, and n is the number of terms.

We know that S = 1485, a = 6, and the last term is 93. To find d, we can use the formula for the nth term of an arithmetic series:

an = a + (n-1)d

Substituting a = 6 and an = 93, we get:

93 = 6 + (n-1)d

Simplifying, we get:

d = 87/(n-1)

Substituting these values into the formula for the sum of an arithmetic series, we get:

1485 = n/2(2(6) + (n-1)(87/(n-1)))

Simplifying, we get:

2970 = n(93 + (n-1)87/(n-1))

Multiplying both sides by n-1, we get:

2970(n-1) = n(93n - 93 + 87(n-1))

Expanding and simplifying, we get:

0 = 180n^2 - 180n - 594

Using the quadratic formula, we get:

n = (180 +/- sqrt(180^2 + 4*180*594))/360

n = 9 or -3/5
Since n must be a positive integer, the number of terms summed in this series is 9.

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Answer:

The answer is 21 ,

The point [0, 0] does not satisfy the constraint g(x) = x1^2 - x2^2 = 0, so it cannot be a solution. There are no solutions that satisfy the necessary conditions.

To show that if a solution exists, it must be either [1, 1] or [-1, 1], we can use the first-order necessary conditions for optimality, which involve the gradient of the objective function and the constraint.

First, let's define the objective function and the constraint function:

Objective function: f(x) = x1x2 - 2x1

Constraint function: g(x) = x1^2 - x2^2 = 0

Now, we can find the gradient of the objective function and the constraint function:

∇f(x) = [∂f/∂x1, ∂f/∂x2] = [x2 - 2, x1]

∇g(x) = [∂g/∂x1, ∂g/∂x2] = [2x1, -2x2]

According to the first-order necessary conditions, if a solution x* is optimal, then the following conditions must hold:

1. ∇f(x*) - λ∇g(x*) = 0, where λ is the Lagrange multiplier.

2. g(x*) = 0

Let's substitute the expressions we found earlier and set up the conditions:

1. [x2* - 2, x1*] - λ[2x1*, -2x2*] = 0

2. x1*^2 - x2*^2 = 0

Simplifying the first condition, we have:

x2* - 2 - 2λx1* = 0       (equation 1)

x1* - 2λx2* = 0             (equation 2)

We have two equations and two unknowns (x1* and x2*), so we can solve for these variables. Let's solve for x1* using equation 2:

x1* = 2λx2*         (equation 3)

Substituting equation 3 into equation 1, we have:

x2* - 2 - 2λ(2λx2*) = 0

x2* - 2 - 4λ^2x2* = 0

(1 - 4λ^2)x2* = 2

For a solution to exist, the coefficient of x2* must be non-zero. Therefore, we have:

1 - 4λ^2 ≠ 0

λ^2 ≠ 1/4

λ ≠ ±1/2

Since λ cannot be ±1/2, this implies that x2* must be zero. Substituting x2* = 0 into equation 3, we get:

x1* = 2λ(0) = 0

Therefore, if a solution exists, it must be x* = [0, 0].

However, the point [0, 0] does not satisfy the constraint g(x) = x1^2 - x2^2 = 0, so it cannot be a solution.

Hence, there are no solutions that satisfy the necessary conditions. Therefore, if a solution exists, it cannot be [1, 1] or [-1, 1].

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amswer:

-13 feet

step by step:

-18+5=-13

One profession that would likely require the content learned in the grade 12 advanced functions trigonometry unit related to sinusoidal functions is an acoustical engineer.

Acoustical engineers specialize in the study and manipulation of sound waves and vibrations. They work in various industries, such as architectural design, music, theater, and audio engineering. Sinusoidal functions and trigonometry are crucial for understanding the behavior of sound waves, which are often represented as periodic oscillations.

Here's why an acoustical engineer would need this knowledge:

Sound Waves, Acoustical engineers deal with analyzing and manipulating sound waves. Sinusoidal functions, such as sine and cosine functions, are fundamental to understanding the properties of periodic waveforms. Sound waves can be represented as sinusoidal functions, and knowledge of trigonometry helps in analyzing their amplitude, frequency, wavelength, and phase.

Waveform Analysis. Acoustical engineers often need to analyze and interpret waveforms to identify characteristics like harmonics, resonance, interference, and phase relationships. Understanding sinusoidal functions allows them to extract valuable information from waveforms, such as the fundamental frequency and the presence of overtones.

Signal Processing, Acoustical engineers work with signal processing techniques to modify, enhance, or filter sound signals. Trigonometry plays a vital role in these processes, as many audio manipulations are based on the principles of Fourier analysis, which involves decomposing complex waveforms into simpler sinusoidal components.

Room Acoustics, Acoustical engineers are involved in designing and optimizing the acoustic properties of spaces, such as concert halls, auditoriums, and recording studios. Sinusoidal functions help them understand phenomena like sound reflection, diffraction, and resonance within these environments, allowing them to optimize the sound quality and mitigate unwanted effects.

In summary, an acoustical engineer would require the knowledge of sinusoidal functions and trigonometry to understand, analyze, and manipulate sound waves, perform waveform analysis, work with signal processing techniques, and optimize room acoustics.

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Answer:  2y = 3x

Reason:

The equation x:y = 2:3 is the same as saying x/y = 2/3

Cross multiply to get 3x = 2y which flips to 2y = 3x

The new selling price to the nearest penny will be;

⇒ 4.42

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

An item sells for 4.39 including value-added tax at 17.5%.

Now, The amount of tax is,

⇒ 17.5% of 4.39

⇒ 17.5 / 100 × 4.39

⇒ 0.77

When the tax were reduced to 16%,

The amount of tax is,

⇒ 16% of 4.39

⇒ 16/100 × 4.39

⇒ 0.70

Hence, The new selling price to the nearest penny will be;

⇒ 4.49 - (0.77 - 0.70)

⇒ 4.49 - 0.07

⇒ 4.42

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The given statement "3yz xln(y) = z^2" is true.

To find ∂z/∂x and ∂z/∂y using implicit differentiation, we differentiate both sides of the equation with respect to x and y, treating z as a function of x and y.

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

3yz * (1/x) * ln(y) + 3y * ln(y) = 2z * (∂z/∂x)

Simplifying, we can solve for ∂z/∂x:

∂z/∂x = [3yz * (1/x) * ln(y) + 3y * ln(y)] / (2z)

Similarly, differentiating with respect to y, we have:

3xz * (1/y) + 3xz = 2z * (∂z/∂y)

Simplifying, we can solve for ∂z/∂y:

∂z/∂y = [3xz * (1/y) + 3xz] / (2z)

Therefore, ∂z/∂x = [3yz * (1/x) * ln(y) + 3y * ln(y)] / (2z) and ∂z/∂y = [3xz * (1/y) + 3xz] / (2z).

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Answer:

100/x+6=20/x-6

100x-600=20x+120

80x=720

x=9 miles an hour as the rowing teams' rate in still water

Answer:

B) t = l / pr

Step-by-step explanation:

l = prt

l / pt = t

Change from multiplication to division

=== Thanks ===

We know that y varies directly with x.

First we need to find the constant of variation

7=14k

k= 7/14

k=1/2

the equation that relates x and y is

Answer:

x = (b-c)/a

Step-by-step explanation:

ax + b = c

Subtract b from each side

ax+b-b = c-b

ax = b-c

Divide by a

ax/a = (b-c)/a

x = (b-c)/a

Answer:

x= (C-B)A

Step-by-step explanation:

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

There are 24,360 ways to fill the offices of president, vice president, and treasurer in the activity club.

To determine the number of ways the offices of president, vice president, and treasurer can be filled in an activity club with 30 students, we can use the concept of permutations.

Since each office can only be filled by one student, we have 30 choices for the president position. Once the president is chosen, we have 29 remaining students to choose from for the vice president position. Finally, for the treasurer position, we have 28 remaining students to choose from.

To calculate the total number of ways, we multiply the number of choices for each position:

Number of ways = 30 * 29 * 28

Calculating this, we get:

Number of ways = 24,360

Therefore, there are 24,360 ways to fill the offices of president, vice president, and treasurer in the activity club.

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None of the options provided (A, B, C, or D) match the radical expression of a(5/7), which is (5a)/7.

The radical expression of a(5/7) can be found by simplifying it to its simplest form.

First, let's rewrite the expression: a(5/7) = (5a)/7

Now, let's find the radical expression. A radical expression involves taking a root of a number.

Since we don't have any square roots or higher roots in the given expression, the radical expression of a(5/7) is simply (5a)/7.

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Answer:

y - 25 = 4

Step-by-step explanation:

i’m guessing you meant this as “25 less than a number = 4.” so i can put tha as an expression.

Basically you’re gonna want to take the unknown number and turn it into a variable.

You should know what a variable is but if not it’s just a letter in place for an unknown number.

so since the unknown number, we will use the letter y as the variable.

so y-25=4

boom that’s it.

since there’s an unknown number in place of the bigger number, we can just put the variable and write the rest out as a regular problem.

and if you need to know the variable number it’s 29.

Answer: 16x+8

Step-by-step explanation:

you use the distributive property. 8 * 2x = 16x and 8 * 1 = 8

X = -4,8 are the values of x in quadratic equation .

What in mathematics is a quadratic equation?

A quadratic equation is a second-order polynomial equation in one variable using the formula x = ax2 + bx + c = 0 and a 0.

                         The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem.

Let X² = X

= x^4 - 4x^2 - 32

= X² - 4X - 32

= X² - (8 - 4 )X - 32

= X² - 8X + 4X - 32

= X( X - 8 ) + 4( X - 8 )

= (X + 4 ) ( X - 8 )

= X = -4 , 8

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Answer:

b = 128.3 inches

Step-by-step explanation:

We know Angle A is 41° and the HYPOTENUSE (the longest side) is 170. We're looking for side b, which is the ADJACENT side (adjacent means next to, like it's literally a part of the angle A) The trig function that puts together ADJ and HYP is the cosine function.

cos 41 = ADJ/HYP

cos 41° = b/170

170cos 41° = b

You need a calculator to get a value for cos 41°. You could put in the entire 170cos41° into a calculator all at once.

128.3 = b

b = 128.3 inches

Answer:

the first one

Step-by-step explanation:

kkrkrkrkrkrk

Answer:

(-4,1)

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

The answer is where the two lines cross

x=2

y=4

The given function is solved using the power rule. The nth derivative of the given function f(x)=xⁿ is  \(f^{(n)}(x) = n!x^{n-n }= n!\).

The power rule instructs how to differentiate xⁿ. It is used to determine the slope of polynomial functions as well as any other function with a real number exponent.

The given function is considered a power function. This is because the x is raised to the power (n). This n is considered a real number. So the derivative of this function is derived using the power rule.

First, differentiating the given function as follows,

\(\begin{aligned}f'(x)&=nx^{n-1}\\f''(x)&=n(n-1)x^{n-2}\\f'''(x)&=n(n-1)(n-2)x^{n-3}\end{aligned}\)

So observing the pattern, the nth derivative is found as follows, \(f^{(n)}(x) = n!x^{n-n }= n!\)

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The complete question is -

Find the nth derivative of each function by calculating the first few derivatives and observing the pattern that occurs.

f(x)=xⁿ

Mile/minute unit rate is represents the faster car.

A common unit of measurement is the mile (mi). It is typically used it to represent the distance among cities, the length of rivers, and the distance between roadways. The letter "mi" stands for the unit mile in writing. Therefore, a marathon race would be roughly 26.3 mile or 26.3 mi in length.

How are miles measured?

Any point on the map that's not a location's name or emblem should be touched and held.

Count the distance between two points.

The total mileage in mile and km is shown at the bottom (km).

You can add several points, as a tip.

Tap Undo to take away the most recent addition you made. Tap More in the top right corner to erase every point. Clear.

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Distance 10(miles) Which unit rate represents the faster car? Time(minutes)

Answer:

Computer tech

Step-by-step explanation:

The sheet metal worker only makes about 32,000 a year. a Computer tech makes about 36,000 a year

36460-32010=4,450

Please mark Brainliest.

Answer:

Computer technicians make 49k to 95k per year, making the most money.

Sheet metal workers make less because they only make 39k-80k per year.

Step-by-step explanation:

Hoped this helped.

A brainliest is always appreciated