Are the ratios 9:7 and 2:1 equivalent?

Answer:

\(y=\frac{3}{2} x-4\)

Step-by-step explanation:

The graph I provided shows it passes thru (4,2) and that it is parallel

Answer:

y = 3/2x -4

Step-by-step explanation:

3x - 2y = - 6

First find the slope by putting it in slope intercept form

Subtract 3x from each side

-2y = -3x-6

Divide by -2

y = -3x/-2  -6/-2

y = 3/2x +3

The slope is 3/2

Parallel lines have the same slope

We have the slope 3/2 and a point (4,2)

y = mx+b where m is the slope and b is the y intercept

y =3/2x+b

Substitute the point into the equation

2 = 3/2(4) +b

2 = 6 +b

Subtract 6

2-6 = 6-6+b

-4 =b

y = 3/2x -4

Answer:

the answer is 7.1 inches tall

The maximum error in calculating the area of the disk is approximately 0.25 cm * 2π * 26 cm = 16.3 cm².

The maximum error in the calculated area of the disk can be estimated using differentials. A = r2, where r is the circle's radius, is the formula for calculating a circle's area.. Differentiating this equation with respect to r gives us A' = 2πr. Plugging in the given values, we get A' = 2π * 26 cm = 161.6 cm². If the possible error in measuring the radius is 0.25 cm, then the maximum error in calculating the area of the disk is 0.25 cm * A' = 0.25 cm * 161.6 cm² = 16.3 cm². Therefore, the maximum error in the calculated area of the disk is approximately 16.3 cm².

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The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.

To solve the nonlinear system of equations:

Equation 1: \(y = -x^2 + 7\)

Equation 2: y = 2x + 4

We can equate the right sides of both equations since they both represent y.

\(-x^2 + 7 = 2x + 4\)

To simplify the equation, we can rearrange it to be in the standard quadratic form:

\(x^2 + 2x - 3 = 0\)

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:

(x + 3)(x - 1) = 0

From this equation, we get two possible solutions:

x + 3 = 0 => x = -3

x - 1 = 0 => x = 1

Now, we substitute these x-values back into either equation to find the corresponding y-values.

For x = -3:

y = 2(-3) + 4

y = -6 + 4

y = -2

For x = 1:

y = 2(1) + 4

y = 2 + 4

y = 6

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Answer:

S₁₆ = 344

Step-by-step explanation:

the sum to n terms of an arithmetic sequence is

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3 , then

S₁₆ = \(\frac{16}{2}\) [ (2 × - 1) + (15 × 3) ]

     = 8 (- 2 + 45)

     = 8 × 43

     = 344

Answer:

4x +1 = 21

4x = 21 - 1

4x = 20

x = 20/4

x = 5

Answer:

Slope is 2/3

Step-by-step explanation:

Answer:

A. $154.00

Step-by-Step Explanation:

Okay so, the first step is to get 12% and move the decimal to the left twice like this:

.12

Then, multiply 175 by .12 like this:

175 * .12 = 21

Lastly, subtract 21 from 175 like this:

175 - 21 = $154

Answer:

A sample of 752 should be taken.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

No preliminary sample is taken

This means that \(\pi = 0.5\)

How large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?

This is n for which M = 0.03. So

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}\)

\(0.03\sqrt{n} = 1.645*0.5\)

\(\sqrt{n} = \frac{1.645*0.5}{0.03}\)

\((\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2\)

\(n = 751.7\)

Rounding up:

A sample of 752 should be taken.

Answer:

your answer would be 9

a=9

Step-by-step explanation:

Answer:

y=1/2x-4

Step-by-step explanation:

the answer is y=1/2x-4

Answer:

6 kilometers

Step-by-step explanation:

An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity.

What is greedy algorithm?

Any algorithm that employs the problem-solving heuristic of selecting the locally optimal option at each stage is said to be greedy.

A greedy algorithm is an algorithmic paradigm that follows the problem-solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum.

One way that the greedy algorithm can fail is if the problem has multiple locally optimal solutions that lead to different global optimal solutions.

For example, consider the problem of finding the shortest path through a maze. Suppose that the maze has two different paths that are both the same length, but one leads to the exit while the other does not. A greedy algorithm that always chooses the shorter path at each step will get stuck in the path that does not lead to the exit, because it is making locally optimal choices but not finding the global optimal solution.

Another way that the greedy algorithm can fail is if the problem requires a certain amount of "lookahead" in order to find the optimal solution. For example, consider the problem of scheduling a set of tasks with given start and end times and durations. A greedy algorithm might always choose the task with the earliest start time at each step, but this may not lead to the optimal schedule if the task with the earliest start time has a long duration and conflicts with other tasks that need to be completed later. In this case, the greedy algorithm needs to consider the duration of the tasks and the effect on future tasks in order to find the optimal solution.

An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity. A greedy algorithm might always choose the item with the highest value-to-weight ratio at each step, but this may not lead to the optimal solution if the items with the highest value-to-weight ratio do not fit in the knapsack or if they leave no room for other items with lower value.

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Answer:

See image below

Step-by-step explanation:

Answer: x = -2, \(\frac{2 }{3}\)

Step-by-step explanation:

     Given:

0 = –3x² – 4x + 4

    The quadratic formula:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

    Substitute known values:

* a = -3, b = -4, c = 4

\(\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(-3)(4)} }{2(-3)}\)

    Simplify with multiplication:

\(\displaystyle x=\frac{4\pm\sqrt{16+48} }{-6}\)

    Simplify:

\(\displaystyle x=\frac{4\pm\sqrt{64} }{-6}\)

\(\displaystyle x=\frac{4+8 }{-6}\),    \(\displaystyle x=\frac{4-8 }{-6}\)

\(\displaystyle x=\frac{12 }{-6}\),    \(\displaystyle x=\frac{-4 }{-6}\)

Answer:

If we are looking at 100th it is 176 if it's tens look at 7 and 9

Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

SOLUTION:

Step 1:

In this question, we are given the following:

The EMU contains two oxygen tanks that carry a total of 120 cubic feet of oxygen.

If the astronaut uses oxygen at the rate of 15 cubic feet per hour.

Which of the following functions best models the amount of oxygen left in the tank after t hours?

Step 2:

The best function that models the amount of oxygen left in the tank after t hours is:

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

A. 124

Step-by-step explanation:

first i found the area of the circle which is 113

then i multiplied that which gave me 452

then i used what's given "6" for a half circle and multiplied it by 4 and that gave me the size of one side of the square 24

then i multiplied 24 x 24 which is 576 the area of the square

lastly i subtracted 576-452

Brainliest pls

Answer:

DEA

Step-by-step explanation:

As group size increases, the complexity of the group increases (option A).

What is group size?

Even within the same species, group size can vary greatly, so we frequently need statistical tests to evaluate these measurements between two or more samples as well as statistical measures to quantify group size. Since group sizes typically follow an aggregated (right-skewed) distribution, where most groups are small, few are large, and a very small number are very large, group size measures are infamously challenging to handle statistically.

As group size increases, the complexity of managing and coordinating the group also increases.

The larger the group, the more difficult it is to communicate effectively, to make decisions, and to ensure that everyone is working towards a common goal.

This is why larger organizations often have more complex hierarchies and more formalized communication and decision-making processes.

Therefore, the correct option is A.

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The volume of cone is 175 m³

Firstly,

Volume of Pyramid.

The volume (V) of a pyramid is  

V = ⅓Ah

Data:

V = 175m³

Calculation:

175 = ⅓× A× h

Ah = 175*3

Ah = 525m³

Secondly,

The volume (V) of a cone is

V = ⅓Ah

Data:

Ah = 525 m³

Calculation:

V = ⅓ A× h

V = 175 m³

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Answer:

w = 18

Step-by-step explanation:

Step 0: Set up the equation

=> -3w - 4 + 5w = 32

Step 1: Move the same variable together

=> -3w + 5w = 32 + 4

Step 2: Add up and simplify

=> 2w = 36

Step 3: Divide both by 2

=> w = 18

Answer:

W=18

Step-by-step explanation:

-3w-4+5w=32

-3w+5w-4=32

2w-4=32

2w=32+4

2w=36

W=18

Only quadratic function will follow the rule because it has even degree polynomial. Thus option D) Quadratic is correct.

Function is a type of relation, or rule, that maps one input to specific single output.

Given information;

A function is graphed on a coordinate grid.

As the domain values approach infinity, the range values approach infinity.

      Domain: If x tends to infinity then

      Range: y tends to infinity

As the domain values negative infinity, the range values approach infinity;

      Domain: If x tends to negative infinity  then

      Range: y tends to infinity

Thus, Only quadratic function will follow the rule because it has even degree polynomial

Quadratic function: ax² + bx + c = 0

Degree = 2 and leading coefficient is positive.

Domain: \(x (- \infty, \infty)\)

Range: \(y ( b, \infty)\)

Hence, D is correct option.

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The misleading about the data shown on the figure is the clas width

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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Answer:

4 packets

Step-by-step explanation:

A=L x W              8 2/3= 26/3

78/12  =3/4 x 26/3  

78/12= 6 1/2

6 1/2 divided by 2 is 3 1/4

Hope this helps let me know if you need more explaining