What is the solution of the system? Use elimination. 5x = -30 + 5y 20y = 105 + 5x 0 (-1,4) D5, 20) KO (-1, 5) (5.-1)​

Answer:

the answr is b

Step-by-step explanation:

Thus,  78% of the people surveyed,  shopped at a local grocery store.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

Grocery Options:

                                Store           Online          Total

Women                     32                 9                  41

Men                           28                8                   36

Total                          60               17                  77

Total people = 77

Total people who shop at a local grocery store = 60

Thus,

Percentage = 60/77 *100  = 77.92% = 78%

Thus,  78% of the people surveyed,  shopped at a local grocery store.

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Answer:

independent variables:

- cost per day per customer

-number of dogs walked

-dependent variables:

- amount of money earned (in total)

Table is attached below!

Step-by-step explanation:

Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

\(I=\dfrac{P\times r\times t}{100}\)

Where, P is principal, r is the rate of interest and t is the number of years.

Putting P=6000, r=6 and t=4, we get

\(I=\dfrac{6000\times 6\times 4}{100}\)

\(I=60\times 6\times 4\)

\(I=1440\)

Now,

\(Amount=Principal+Interest\)

\(Amount=6000+1440\)

\(Amount=7440\)

Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.

The number of ways to chose a president, vice president, secretary, and treasurer of the club, where no person can hold more than one office is 11880.

If the person cannot hold more than one office.

Then the number of ways of selecting a president, vice president, secretary and treasurer of the club from the club consisting of 12 member is given by the permutation ¹²P₄.

Because we have to select four member out of 12,

So, solving further,

= ¹²P₄

= 12!/(12-4)!

= 12!/8!

= 12 x 11 x 10 x 9

= 11880.

So, there are a total of 11880 ways to chose the members.

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Complete question - A club has 12 members A president, a vice president, a secretary, and a treasurer are to be chosen from these members. A member cannot serve for more than one position. In how many ways can this be down?

Answer:

-1/2f I think

Step-by-step explanation:

distribute the -1/2

use differentiation rules

calculate all together

then simplify

Hope this helps

Answer:

20

Step-by-step explanation:

When an organization with a functional structure diversifies into related product-markets, it generally maintains its functional structure.

In a functional structure, the organization is organized based on specialized functions such as marketing, finance, operations, and human resources. Each function operates independently, and decisions are made within each functional unit. When diversifying into related product-markets, the organization can leverage its existing functional expertise to support the new product lines or markets.

Maintaining the functional structure allows the organization to retain the benefits of specialization and efficiency within each function. It also enables the organization to capitalize on the existing knowledge, skills, and resources of each functional area, ensuring a smoother transition into new product-markets.

This approach minimizes disruption and allows the organization to effectively manage the integration of new product lines while maintaining focus on core competencies. By leveraging the existing functional structure, the organization can adapt and respond to the specific requirements of each product-market while maximizing operational efficiency.

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step 1: convert to improper fraction

57/7 - 26/7

step 2: subtract numerators

31/7

step 3: change to a mixed number

4 3/7

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get h(x) = 6*(3)^(3x)

So answer C is the right answer.

Answer:

= 3

Step-by-step explanation:

9514 1404 393

Answer:

  31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

  Sin = Opposite/Hypotenuse

  sin(30°) = BE/100

  BE = 100·sin(30°)

Then ...

  Tan = Opposite/Adjacent

  tan(58°) = BE/x

  x = BE/tan(58°) = 100·sin(30°)/tan(58°)

  x ≈ 31.243 . . . . units

_____

Comment on the figure

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

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The answer is Yes. The Poisson distribution have the "memoryless" property. Poisson process is a continuous-time stochastic process which counts the arrival of randomly occurring events.

The memoryless property states that the probability of an event occurring is independent of the time since the last event occurred. This property can be proven mathematically by showing that the conditional probability of the event occurring given that it has not occurred in the last 'n' occurrences is equal to unconditional probability of event.

And therefore, we can conclude that Poisson distribution has the memoryless property. This is because the probability of a Poisson random variable taking on a value greater than or equal to n+1 (i.e. it is greater than or equal to n) is equal to the unconditional probability of it taking on a value greater than or equal to n+1.

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Answer:

3p^3 (-p^4 + 1)

Step-by-step explanation:

The common factor of both -3p^7 and 3p^3 is 3p^3

Divide -3p^7 by 3p^3 and get -p^4

Divide 3p^3 by 3p^3 and get 1

So the factorisation is 3p^3 (-p^4 + 1)

Answer:

165

Step-by-step explanation:

What this ratio means is that for every 2 white carnations, there is 1 blue and 3 red.

We have 60 white, or 30 groups of 2

We have 3 red carnations for each group of two:

3 * 30 = 90

And we have 1 blue for each group of two:

30 / 2 = 15

So, our total number of carnations would be 90 + 15 + 60

Or: 165

Answer:

Step-by-step explanation:

From 100 to 150: up by 50%

From 150 to 100: down by 33 1/3%

From 200 to 120: down by 25%

From 150 to 200: up by 33 1/3%

From 160 to 200: up by 25%

From 200 to 160: down by 20%

From 100 to 160: up by 60%

From 160 to 100: down by 37.5%

From 200 to 100: down by 50%

From 100 to 200: up by 100%

Your Welcome.

Answer:

From $100 to $150: up by 50%

From $150 to $100: down by 33 1/3 %

From $100 to $160: up by 60%

From $160 to $100: down by 37 1/2 %

From $160 to $200: up by 25%

From $200 to $160: down by 20%

From $200 to $150: down by 25%

From $150 to $200: up by 33 1/3 %

From $100 to $200: up by 100%

From $200 to $100: down by 50%

From $150 to $160: up by 6 2/3 %

From $160 to $150: down by 6 1/4 %

The speed of the boat in still water is 5 km/h.

Let's denote the speed of the boat in still water as "v" (in km/h). Since the boat travels 2 km upstream and 2 km downstream, we know that the total distance traveled is 4 km.

Let's first calculate the time taken to travel 2 km upstream. We know that the current is flowing at 2 km/h, so the effective speed of the boat relative to the river is (v - 2) km/h (since it is going against the current). Therefore, the time taken to travel 2 km upstream is

time taken = distance / speed = 2 / (v - 2) hours

Similarly, the time taken to travel 2 km downstream is

time taken = distance / speed = 2 / (v + 2) hours

The total time taken for the round trip (2 km upstream and 2 km downstream) is given as 11 minutes, which is equivalent to (11/60) hours. Therefore, we can write

2 / (v - 2) + 2 / (v + 2) = 11/60

Multiplying both sides by (v - 2)(v + 2) gives

2(v + 2) + 2(v - 2) = (v - 2)(v + 2)(11/60)

Simplifying the right-hand side gives

(v - 2)(v + 2)(11/60) = (11/3)v^2 - 44/3

Substituting this expression into the previous equation and simplifying gives

22v = (11/3)v^2 - 44/3

Multiplying both sides by 3 gives

66v = 11v^2 - 44

Rearranging and solving for v using the quadratic formula gives

v = (11 ± √(11^2 + 4×44))/22

Taking the positive solution (since v must be positive) gives

v = 5 km/h

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If the vertex of a parabola is (0, -4). The equation of the axis of symmetry for this parabola is x = 0.

We first take out the coefficient of x squared, and then inside the bracket, we try to make a perfect square-like situation.

For parabolas, its axis of symmetry always goes through the vertex of the parabola.

In other words, the axis of symmetry is a vertical line that goes through the x-coordinate of the vertex.

Now, if the vertex of a parabola is (0, -4) which is at x = 0, y = -4.

Thus, the vertical line that goes through the coordinate of the vertex would be x = 0

Thus, the equation of the axis of symmetry for this parabola is x = 0.

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Answer:

(3,1) --> One solution

Step-by-step explanation:

Start by multiplying the first equation by 4:

-7x(4)+2y(4)=-19(4)

     -28x+8y=-76

In this scenario, we can eliminate 8y by subtracting the two equations:

-34x=-102

Divide both sides by -34

x=3

Plug 3 back in for x to solve for y

-7(3)+2y=-19

-21+2y=-19

Add 21 to both sides

2y=2

Divide both sides by 2

y=1

(x,y)=(3,1)

Answer:

By itself: 32 < 17+c

Solved: 15 < c

If wanted it to be solved:

32 < 17 + c

-17    -17

15 < c

Answer:

what is your question because I'm not sure if u accidentally forgot to put the question up

Step-by-step explanation:

Hope I'm able to help you later with your question

Answer:

3072feet

Step-by-step explanation:

take 3miltiply with 2 multiply with 512 feet then the answer is 3072 feet

Answer:

The area of the base of the box, B, is  

✔ 6

ft.2.

The volume of the box is  

✔ 33

ft.3.

Step-by-step explanation:

I got it right on Edge

Answer:

-1/2(x - 12). Hope this helped out for you!

Answer:

I believe the correct answer is d

Answer:

The answer is D

Step-by-step explanation:

I took the test :D

This is the desired 4x4 matrix that produces the translation by the vector (4,-6,-3) using homogeneous coordinates.

To find the 4x4 matrix that produces a translation by the vector (4,-6,-3) using homogeneous coordinates, we start with the identity matrix:

[1 0 0 0]
[0 1 0 0]
[0 0 1 0]
[0 0 0 1]

We then replace the last column with the translation vector in homogeneous coordinates, which is [4, -6, -3, 1]:

[1 0 0 4]
[0 1 0 -6]
[0 0 1 -3]
[0 0 0 1]

This is the desired 4x4 matrix that produces the translation by the vector (4,-6,-3) using homogeneous coordinates.

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Answer:

x = 105

Step-by-step explanation:

Do take note for this question, the main goal is to remove the cube root, to do that, we have cube the cube root.

\(\frac{\sqrt[3]{2x+6} }{3} - 8 = -6\\ \frac{\sqrt[3]{2x+6} }{3} = 2\\ \sqrt[3]{2x+6} =6\\(\sqrt[3]{2x+6} )^3=6^3\\ 2x+6 = 216\\ 2x=210\\ x=\frac{210}{2} \\ x=105\)