Let H be a square matrix. If the equation Hx = c is inconsistent for some c in R^n, what can you say about the equation Hx = 0? Why?

The Jacobian matrix of a vector-valued function of several variables is the matrix of all its first-order partial derivatives.  Here Jacobian is:

J =\(\left[\begin{array}{ccc}8v&8u\\9&-1\\\end{array}\right]\)

To find the Jacobian of the transformation x = 8uv, y = 9u - v, we need to compute the partial derivatives of x and y with respect to u and v are:

∂x/∂u = 8v

∂x/∂v = 8u

∂y/∂u = 9

∂y/∂v = -1

The Jacobian matrix is then:

J = [∂(x,y)/∂(u,v)] =  \(\left[\begin{array}{ccc}\frac{∂y}{∂v} &\frac{∂x}{∂v} \\\frac{∂y}{∂u} &\frac{∂y}{∂v} \\\end{array}\right]\)

So, in this case, the Jacobian is:

J =\(\left[\begin{array}{ccc}8v&8u\\9&-1\\\end{array}\right]\)

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Yes, Callie money is triple in 12 years.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Callie has invested some money for 12 years at a fixed interest rate that is compounded continuously.

Now,

Since, Her money will double in 8 years.

Hence, We get;

⇒ Her money is fourth times his money in 16 years.

So, Callie money is triple in 12 years.

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The HCF is the Highest Common Factor of a number in this case 54. This is the highest number times another number which = 54. The HCF for 54 is 18.

Answer:

The graph is attached

Answer: 1: 24 miles per gallon (mpg)

2: 24 miles per gallon (mpg)

Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT. THANKYOU.

Answer:

c) 2

Step-by-step explanation:

here you can use cross multiplication. that's where you turn the fraction into an equation. ( there's videos about it, I'm not very good at explaining )

so you can turn

\(\frac{5}{x} = \frac{15}{x + 20}\)

into

5(x + 20) = 15x

5x + 100 = 15x

subtract 5x from both sides

100 = 10x

x = 10.

the value of x/5 would be 2, since 10/5 is 2.

Since x/5 is the reciprocal of 5/x, we know that we can flip the fraction on the right hand side will be flipped.

Thus, x/5 = (x + 20)/15

Now we cross multiply, 15x = 5(x + 20)

Simplify: 15x = 5x + 100

Subtract 5x from each side: 10x = 100

Divide 10: x = 10

Now plug 10 back into the right hand side: (10 + 20)/15

So, the answer is 2.

Answer:

5n+32a=5

Step-by-step explanation:

.

The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.

Step-by-step explanation:

The formula that describes how the salesman's weekly salary s depends on his weekly revenue r is:

s = $500 + 0.12(r - $1000)

In this formula, s represents the salesman's total weekly salary, which includes both the fixed salary of $500 and the commission based on his weekly revenue. r represents the salesman's weekly revenue.

The commission is calculated as 12% of the portion of the weekly revenue that is over $1000. So, to calculate the commission, we subtract $1000 from the weekly revenue r, and then multiply the result by 0.12. The fixed salary of $500 is then added to the commission to get the total weekly salary.

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Answer: 8.66666666667

Step-by-step explanation:

Answer:

26/3 in the simplest fraction.

Answer:

If the product of two numbers is zero, there are two possibilities, namely;

1. One of the numbers is zero.

2. Both of the numbers are zero.

Step-by-step explanation:

As a rule in mathematics, when zero is used in multiplying any given whole number, the only result that would be obtained is zero.

Therefore,

1. If one of the numbers is zero, then the product of the two numbers is also zero. For example,

153, 000 * 0 = 0

2.  If both of the numbers are zero, then the product of the two numbers is zero. For example,

0 * 0 = 0.

So we can say that both can be true.

Answer:

177.7

Step-by-step explanation:

not good with steps

The function h(x) = -16x^2 + 256 represents the height of a ball thrown upward from an initial height of 256 feet, considering the effects of gravity.

In more detail, the function h(x) describes the height of the ball at a given time x. The term -16x^2 represents the effect of gravity on the ball's vertical motion. The negative coefficient indicates that the height decreases over time due to the downward pull of gravity. The term 256 represents the initial height from which the ball was thrown.

The function h(x) allows us to calculate the height of the ball at any given time x. By substituting different values for x, we can determine how the height of the ball changes over time. As time increases, the ball reaches its maximum height and then falls back down to the ground. The function h(x) captures this behavior and provides a mathematical representation of the ball's height during its upward and downward motion.


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For a student who participate in a wide variety of extra-curricular memorial high school, the probability of the union of being either a freshman or senior is equals to the 0.50.

We have students who attend memorial high school have a wide variety of extra-curricular activities.

Probability of student who likely to join the dance team = 38% = 0.38

Probability of student who likely to participate in the school play = 18% = 0.18

Probability of students who likely to join the yearbook club = 42% = 0.42

Probability of students who likely to join the marching band = 64% = 0.64

Also, students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

So, the probability ( a student is senior )

= 1/4 = 0.25

The probability ( a student is freshman )

= 1/4 = 0.25

We have to determine the union of being either a freshman or senior. Now, the probability of the union of disjoint or independent events is the sum of their individual probabilities.

So, probability ( a student is freshman or senior) = P( freshman ∪ senior )

= P( freshman) + P( senior)

= 0.25 + 0.25 = 0.50

Hence, required probability is 0.50.

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The most appropriate statement is that C. The shaded area represent both 2/3 and 6/9 of the whole shape.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Given a square.

This square is divided in to 9 equal sized squares, with 3 rows and 3 columns.

Out of the 9 equal sized squares, 6 squares are shaded.

We can write the fraction of shaded squares to total number of squares as 6/9.

In the same way, we have in the question that, 6 squares which are shaded is the squares in the first two columns, where each column has three squares.

So we can say that, out of 3 equal sized columns, two columns are shaded.

Fraction of shaded columns to total columns is 2/3.

So 2/3 = 6/9.

Hence shaded area represent both 2/3 and 6/9 of the whole shape.

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Hey there!

5y - 6

= 5(9) - 6

= 45 - 6

= 39

Therefore, your answer is: 39

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

\(5:12\) or\(\frac{5}{12}\)

Step-by-step explanation:

Answer:

33400

Step-by-step explanation:

If it is scaled by a factor of 10, every side length is multiplied by 10. So you can do the work of:

80*30*2 + 80*130*2 + 30*130*2= 33400

The required simplified value of the quantity is  1 / 81. Option A is correct.

Given that,
To determine the simplified value of the quantity one-third raised to the second power times one-third raised to the zero power end quantity all raised to the second power.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
According to the question,
= [(1 / 3)² + ( 1 / 3)⁰]²
Simplification,
= (1 / 3)²°²
= (1 / 3)⁴
= 1⁴ / 3⁴
= 1 / 81  (since 3⁴ = 81)

Thus, the required simplified value of the quantity is  1 / 81. Option A is correct.

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An inequality that can be used to determine x, the number of hours before Marcus will need to add chemicals to maintain the pH for the pool would be 6.9 + 0.05x ≤ 7.8

To determine the number of hours (x) before Marcus will need to add chemicals to maintain the pool's pH, we can use an inequality with the given information.

-The maximum pH value allowed for the pool is 7.8.
-The pool currently has a pH value of 6.9.
-The pH value of the pool increases by 0.05 per hour.

The inequality for this scenario would be:

6.9 + 0.05x ≤ 7.8

This inequality states that the current pH value (6.9) plus the increase in pH per hour (0.05x) should be less than or equal to the maximum allowed pH value (7.8). This will help us determine the number of hours (x) before Marcus needs to add chemicals to maintain the pH for the pool.

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Answer:

2280 minutes.

Step-by-step explanation:

Time spent each week in lessons = (Lessons per week)(Time per lesson)

= (6)(38)

= 228 minutes/week

Time spent in a 10-week period:

10 weeks * 228 minutes/week

= 2280 minutes

Use conversion factors to determine the time in the desired units (i.e. Hours, seconds, etc.).

Hope this helps!

According to the Pythagoras theorem, the value of x is 13.76

Pythagoras theorem:

“In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“ is known as Pythagoras theorem.

Given,

Here we have the triangle with the side values.

Now, we have to find the value of x through this given values.

In order to calculate the value of x,

First, we need the value of the side KM.

Let us consider the value of KM is y.

Then according to the concept of Pythagoras theorem,

The value of y is calculated as,

=> (12.3)² = y² + (5.4)²

=> 151.29 = y² + 29.16

=>  y² = 122.13

=> y = 11.05

Therefore, the value of the hypotenuse  x is calculated as,

=> x² = (11.05)² + (8.2)²

=> x² = 122.13 + 67.24

=> x² = 189.37

=> x = 13.76

Therefore, the value of x is 13.76.

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(2+4i )+(3-6i)

= 2 + 4i+3 -6i

Answer:

5-2i

Step-by-step explanation:

(2+4i)+(3-6i)

2+4i+3-6i

5-2i

Please correct me if I am wrong

Answer:$2.7 would be saved

Step-by-step explanation:

Multiply 18 by .15 which gives you 2.7 which is the answer.

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. Substitute the coordinates of the vertex and the other point into the vertex form to find the value of a. Then, substitute the value of a back into the vertex form to get the quadratic function.

To write a quadratic function from its vertex and another point, we can use the vertex form of a quadratic function, which is f(x) = a(x-h)^2 + k. In this form, (h, k) represents the coordinates of the vertex of the parabola.

Let's say the vertex of the quadratic function is (h, k) and the other point is (x1, y1). We can substitute these values into the vertex form to find the value of a.

Substituting the vertex coordinates, we get:

f(h) = a(h-h)^2 + k

f(h) = k

Substituting the coordinates of the other point, we get:

f(x1) = a(x1-h)^2 + k

Now, we have two equations:

k = a(0)^2 + k

y1 = a(x1-h)^2 + k

From the first equation, we can see that k = k, which is always true. Therefore, we can ignore this equation.

From the second equation, we can solve for a:

y1 - k = a(x1-h)^2

a = (y1 - k) / (x1-h)^2

Now that we have the value of a, we can substitute it back into the vertex form to get the quadratic function:

f(x) = a(x-h)^2 + k

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Answer:

2:3:5 = 480:720:1200

(a) 480+720+1200

(b) 480

(c) 720/(a)

Step-by-step explanation:

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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Answer:

y = ±2i

Step-by-step explanation:

6y^2 + 24 = 0

Divide both sides by 6

y^2 + 4 = 0

Subtract 4 from both sides

y^2 = -4

Take the square root of both sides

y = ±√-4

y = ±2√-1

y = ±2i

Answer:

Step-by-step explanation:

6y^2+24=0

/6

y^2+4=0

y^2=-4

y=±\(\sqrt{-4}\)

y=±\(\sqrt{4}\) i

Answer: x=23

Step-by-step explanation: <BAC+<ACB=90degrees

x+ 67degrees= 90 degrees

x=23 degrees