y is directly proportional to the square root of x
if y = 42 when x = 9 find,
x when y = 28​

These labels describe the Body Mass Index (BMI) of an individual. BMI is a measure of body fat based on height and weight.

Labels of weight status were added, such as under 18.5 = underweight, 18.5 to 24.9 = healthy, 25 to 29.9 = overweight, 30 or higher = obese.

BMI is used to determine whether an individual is a healthy weight for their height. Under 18.5 is classified as underweight. A BMI of 18.5 to 24.9 is considered a healthy weight, 25 to 29.9 is classified as overweight, and a BMI of 30 or higher is considered obese.

It is important to note that BMI is not an exact measure of body fat, and individuals with higher amounts of muscle mass may have a higher BMI. Therefore, BMI should be used as a guide to assess overall health and not as an absolute measure of body fat.

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The tax rate given as a percentage, can be used to find out the amount

to be paid as tax.

Correct response:

The given parameters are;

Susan Wong's taxable income last year = $52,915

The income tax rate = 2%

Required:

Susan Wong's tax last year

Solution:

The tax rate is given as a percentage of the taxable income.

The amount payable as tax = The tax rate × The taxable income

Therefore;

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Answer:

x=1.5 y=-1/3

Step-by-step explanation:

2x-3y=4

2x+8=11

Let's subtract 8 from both sides of the second equation:

2x=3

x=1.5

Substituting this into the first equation, we get:

2(1.5)-3y=4

3-3y=4

-3y=1

y=-1/3

The maximum capacity of the pool area is 78 + 47 = 125 people.

An expression is a mathematical phrase that can contain numbers, variables, operators, and functions. It does not have an equal sign, and its value can vary depending on the values assigned to the variables. Expressions can be simple, like 2x + 3, or more complex, like (4x - 1)/(2y + 5). Expressions are used in algebra, calculus, and other areas of mathematics to represent relationships and make calculations.

Let's use c to represent the maximum capacity of the pool area.

We know that Darnel has already let in 78 people, and he can only let in 47 more people before reaching the maximum capacity. This can be represented as the inequality:

78 + x ≤ c

where x is the number of additional people that Darnel can let in before reaching the maximum capacity.

To solve for c, we can isolate it on one side of the inequality by subtracting x from both sides:

78 + x - x ≤ c - x

Simplifying, we get:

78 ≤ c - x

Finally, to find the maximum capacity c, we need to add x to both sides:

78 + x ≤ c

So the maximum capacity of the pool area is 78 + 47 = 125 people.

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Answer:

Step-by-step explanation:

\( \mathsf{3(4x + 1) - 2(3x - 4)}\)

Distribute 3 through the parentheses

\( \mathsf{12x + 3 -2(3x - 4)}\)

Distribute 2 through the parentheses

⇒\( \mathsf{12x + 3 - 6x + 8}\)

Collect like terms

⇒\( \mathsf{6x + 11}\)

Hope I helped!

Best regards!!

Answer:6x+11

Step-by-step explanation:do whats in the parenthesis first and then the answer that you got your going to use the same addition, or multuplication , or subtraction sign . then you will get your final answer/,

The minimum length = 192ft, that Natalie must throw the javelin on her next throw in order to qualify for the final round.

Based on the given conditions,

The length of her javelin throws in the first round must be at least 195 feet.

She has 1 more throw left in the first round.

This list shows the length, in feet, of Natalie's first 7 javelin throws.

= 188, 204, 194, 195, 187, 201, 199

The minimum length is,

= 188 + 204 + 194 + 195 + 187 + 201 + 199

= 1368

Let us assume,

Final length = x

So,

We can write,

( x + 1368 ) / 8 ≥ 195

x + 1368 ≥ 195 * 8

We can multiply the coefficient,

x + 1368 ≥ 1560

x ≥ 1560 - 1368

We can sum or difference the coefficient,

x ≥ 192

This is Inequality function.

Equations and inequalities are mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are supposed to be equal and shown by the symbol =. Whereas in inequality, the two expressions are not necessarily equal and are indicated by the symbols: >, <, ≤ or ≥.

Therefore,

The minimum length = 192ft, that Natalie must throw the javelin on her next throw in order to qualify for the final round.

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The extreme points (x, y) along the curve are (-1, -1) and (0, 0).

The given function f(I, y) = e² x² + xy + y² = 1 represents a quadratic equation in two variables, x and y. To find the extreme points, we need to determine the values of x and y that satisfy the equation and minimize or maximize the function.

a) The function defined by f(x, y) = e² x² + xy + \(y^2\) - 1 takes on a minimum and a maximum value along the curve.

To find the extreme points, we need to find the critical points of the function where the gradient is zero.

Step 1: Calculate the partial derivatives of f with respect to x and y:

∂f/∂x = 2\(e^2^x\) + y

∂f/∂y = x + 2y

Step 2: Set the partial derivatives equal to zero and solve for x and y:

2\(e^2^x\) + y = 0

x + 2y = 0

Step 3: Solve the system of equations to find the values of x and y:

Using the second equation, we can solve for x: x = -2y

Substitute x = -2y into the first equation: 2(-2y) + y = 0

Simplify the equation: -4e² y + y = 0

Factor out y: y(-4e^2 + 1) = 0

From this, we have two possibilities:

1) y = 0

2) -4e²  + 1 = 0

Case 1: If y = 0, substitute y = 0 into x + 2y = 0:

x + 2(0) = 0

x = 0

Therefore, one extreme point is (x, y) = (0, 0).

Case 2: If -4e^2 + 1 = 0, solve for e:

-4e²  = -1

e²  = 1/4

e = ±1/2

Substitute e = 1/2 into x + 2y = 0:

x + 2y = 0

x + 2(-1/2)x = 0

x - x = 0

0 = 0

Substitute e = -1/2 into x + 2y = 0:

x + 2y = 0

x + 2(-1/2)x = 0

x - x = 0

0 = 0

Therefore, the second extreme point is (x, y) = (0, 0) when e = ±1/2.

b) The equation (1+x)e = (1+y)e* is satisfied along the line y = x.

To find a critical point on this line where the equation is neither locally uniquely solvable for x nor y, we need to find a point where the equation has multiple solutions.

Substitute y = x into the equation:

(1+x)e = (1+x)e*

Here, we see that for any value of x, the equation is satisfied as long as e = e*.

Therefore, the equation is not locally uniquely solvable for x or y along the line y = x.

c) Taylor expansion up to degree 2:

To understand the solution set of the equation in the vicinity of the critical point, we can use Taylor expansion up to degree 2.

2. Expand the function f(x, y) = e²x²  + xy + \(y^2\) - 1 using Taylor expansion up to degree 2:

f(x, y) = f(a, b) + ∂f/∂x(a, b)(x-a) + ∂f/∂y(a, b)(y-b) + 1/2(∂²f/∂x²(a, b)(x-a)^2 + 2∂²f/∂x∂y(a, b)(x-a)(y-b) + ∂²f/∂y²(a, b)(y-b)^2)

The critical point we found earlier was (a, b) = (0, 0).

Substitute the values into the Taylor expansion equation and simplify the terms:

f(x, y) = 0 + (2e²x + y)(x-0) + (x + 2y)(y-0) + 1/2(2e²x² + 2(x-0)(y-0) + 2(\(y^2\))

Simplify the equation:

f(x, y) = (2e² x² + xy) + ( x² + 2xy + 2\(y^2\)) + e² x² + xy + \(y^2\)

Combine like terms:

f(x, y) = (3e² + 1)x² + (3x + 4y + 1)xy + (3 x² + 4xy + 3 \(y^2\))

In the vicinity of the critical point (0, 0), the solution set of the equation, given by f(x, y) = 0, looks like a second-degree polynomial with terms involving  x² , xy, and  \(y^2\).

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Answer:

(A) correct
(B) correct
(C) correct

Step-by-step explanation:

(A) is correct
Total survived = 713

Out of the 713 passengers who survived, the number of crew members = 215, the highest. The ratio of 215/713 is higher than any other ratio. This means 30% of those who survived were crew members. The next higher group of survivors was First Class passengers with a survival rate of 202/713 ≈ 28%

(B) is correct

There were 913 crew members. Out of this, 698 died 215 survived.
So it is more likely that given a person was a crew member, the person died than survived. That comprises 698/913 or 76% of crew members who died with only 24% survival rate

(C) is correct

There were 1516 passengers who died

Out of these, 528 + 698 = 1,226 were either third class or crew members and comprised 1226/1516 or approximately 81 percent of people who died

Answer:

its b

Step-by-step explanation:

tta be just trust me

Answer:

It's B and the length of the third side of the triangle is 9cm.

Step-by-step explanation:

One of the two equal sides  S. Both of them  2S. The third side is 2S5. The perimeter is 2S2S5 and that's 23. So 4S5 23, then 4S28, and S7. The third side is 2S5, and that's 9.

Answer:

9.407 [with the bar on top]

Step-by-step explanation:

The division results in 9.407407407407407 . . . . . . . . . . . . . . .

The continual repeat of 407 is represented by a 407 with a bar on top.

Answer: 1/6.

Step-by-step explanation:

3/18 is just 1/6 because you have to divide the numerator and denominator by 3.

The probability that a randomly selected can of Cola contains less than 11 ounces of soda is approximately 2.28%.

To find the probability, you need to use the standard normal distribution and convert the value of 11 ounces to a standard score (z-score). Then you can look up the z-score in a standard normal table to find the corresponding cumulative probability.

Here's the calculation for the z-score:

z = (11 - 12) / 0.50 = -2

Using a standard normal table, you can find that the cumulative probability for a z-score of -2 is approximately 0.0228, or 2.28%.

So, the probability that a randomly selected can of Cola contains less than 11 ounces of soda is approximately 2.28%.

This means that there is a 2.28% chance that a randomly selected can of Cola will contain less than 11 ounces of soda. It is important to note that this result is based on the assumption that the amount of soda in each can of Cola follows a normal distribution with 12 ounces on average, with a 0.50 ounce standard deviation.

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The complete question is:

Nice Drink Company produce many type of oft drink, including Cola. The amount of oda in each can of Cola ha a normal ditribution with a mean of 12 ounce and a tandard deviation of 0. 50 ounce. What i the probability that a randomly elected can of Cola contain less than 11 ounces of soda?

Answer:

A=1/2h(7+11) or A=1/2h(77)

The area is dependent on the height and the height changes based on the length of both of the bases

Step-by-step explanation:

Answer:

7.5 - 3.8 = m

Step-by-step explanation:

The ratio of grass to decking in terms of area, in its simplest form, is 4:5.

In the garden, 4/9 of the area is covered with grass, and the rest is decking. To find the ratio of grass to decking in terms of area, we can express it as a fraction.

Let's denote the area covered with grass as G and the area covered with decking as D.

The given information states that 4/9 of the area is grass, so we have:

G = (4/9) * Total area

Since the remaining area is covered with decking, we can express it as:

D = Total area - G

To simplify the ratio of grass to decking in terms of area, we can divide both G and D by the total area:

G/Total area = (4/9) * Total area / Total area

G/Total area = 4/9

Similarly,

D/Total area = (Total area - G)/Total area

D/Total area = (9/9) - (4/9)

D/Total area = 5/9

Therefore, the ratio is 4:5.

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OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

Answer:

13 feet

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of one face = 676 / 6

= 112.67

So the slide length = sqrt 112.67 = 10.6 feet.

The integer variable bonus is assigned a value based on the value of the integer variable score

score > 100 implies bonus = 10 * score

score between 50 and 100 implies bonus = score

score < 50 implies bonus = 0

First, we need to analyze the conditions:

score > 100 implies bonus = 10 * score

score between 50 and 100 implies bonus = score

score < 50 implies bonus = 0

Writing the above as programming instructions, we have:

if(score > 100){//This represents the first condition

bonus = 2 * score;

}

else if(score >=50 && score<=100){//This represents the second

bonus = score;

}

else{//This represents the last condition

bonus = 0;

}

Hence, if score > 100 implies bonus = 10 * score

score between 50 and 100 implies bonus = score

score < 50 implies bonus = 0

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The audio cable is 1.61m long.

Step - by - Step Explanation

What to find? Length of cable in meter.

Given:

Length = 16.1 dm

To convert 16.1dm to m;

Let x be the length of the audio cable in meter.

Using proportion,

1 m = 10 dm

x = 16.1 dm

Cross -multiply

10x = 16.1

Divide both-side of the equation by 10.

x = 1.61m

Hence, the length of the audio cable in meters is 1.61m

Answer:

8

Step-by-step explanation:

There are two pounds. Each pound is split into 4. So 2 times 4 is 8.

Step-by-step explanation:

first open the bracket

200+320=520

then multiple the answer with 250

thus: 250×520=130,000

130,000

Step-by-step explanation:

first calculate the bracket 200 + 320 =520

than multiply it by 250. 250 x 520 = 130,000

Answer:

True

Step-by-step explanation:

Answer:

it is 0.75 (1/4)+ (2/3)-(1/6)=0.75=3/4

Answer:

34/40

Step-by-step explanation:

Answer:

34 questions

Step-by-step explanation:

85% = 17/20

17/20 x 40 =

2 x 20 =

34

Hope that helps!

-Sabrina

Answer:

y = 7x - 4

Step-by-step explanation:

To solve the equation of this line ( in point - slope form ) we would have to first identify the slope. If we are given the points ( 0, - 4 ) and ( 1, 3 ) then through the change in y / change in x, we can calculate the value of this slope. Take a look at the steps below;

\(( 0, - 4 ), ( 1, 3 )\\\\Slope = y2 - y1 / x2 - x1,\\\\Slope = - 4 - 3 / 0 - 1,\\Slope = - 7 / - 1\\Slope = 7 / 1\\\\Slope = 7\)

Now that we have the slope of this line, we have assume part of the equation of this line ( that passes through the points ( 0, - 4 ) and ( 1, 3 ) );

\(y = mx + b -\\m = slope, b = y - intercept\)

Plug in the value of slope for " m " in y = mx + b, and determine the y - intercept by plugging in x as 0 and y as - 4, given the point ( 0, - 4 );

\(- 4 = 7 * ( 0 ) + b,\\- 4 = 0 + b,\\b = - 4\)

From this information, we can say that the equation of this line is y = 7x - 4;

Solution, y = 7x - 4

Answer:

B

Step-by-step explanation:

Both 0.684 and 0.1222 are rational

Answer:

B.

Step-by-step explanation:

Because 0.12222222.... and 0.684 are rational numbers.

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Answer:

B) 29%

Step-by-step explanation:

༻✦༺ ༻✧༺༻✦༺

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