Find x and y please!! I’m desperate!!!

The x-coordinate of the vertex is 0.  the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

To find the dimensions that will create the maximum area of the prop section, we need to analyze the given equation A = -x^2 + 40. The equation represents a quadratic function in the form of A = -x^2 + 40., where A represents the area of the prop section and x represents the dimension.

The quadratic function is in the form of a downward-opening parabola since the coefficient of is negative (-1 in this case). The vertex of the parabola represents the maximum point on the graph, which corresponds to the maximum area of the prop section.

To determine the x-coordinate of the vertex, we can use the formula x = -b / (2a), where the quadratic equation is in the form Ax^2 + Bx + C and a, b, and c are the coefficients. In this case, the equation is -x^2 + 40, so a = -1 and b = 0. Plugging these values into the formula, we get x = 0 / (-2 * -1) = 0.

Therefore, the x-coordinate of the vertex is 0. To find the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation  A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

Hence, the equation that reveals the dimensions that will create the maximum area of the prop section is A = 40. This means that regardless of the dimension x, the area of the prop section will be maximized at 40 units.

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Answer:

  B, C, D

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

The slope is obviously 1.5. All answer choices agree on that.

The two points shown are (-1, -2) and (3, 4), so the two point-slope equations for these points are ...

  y -(-2) = 1.5(x -(-1))   ⇒   y +2 = 1.5(x +1) . . . . . matches choice B

  y -4 = 1.5(x -3) . . . . . matches choice C

__

Either one of these equations can be simplified to slope-intercept form

  y +2 = 1.5x +1.5 . . . . eliminate parentheses from the first point-slope equation

  y = 1.5x -0.5 . . . . . . . subtract 2 . . . . . matches choice D

The average score provides a general benchmark that represents the overall performance of the exam takers as a whole, independent of their hair length or any other unrelated characteristics.

The correlation between a person's hair length and their score on the exam being nearly zero indicates that there is no significant relationship between these two variables. Therefore, when your friend shaves his head, it does not provide any specific information about his exam score. In such a scenario, the best guess of what he scored on the exam would be the average score of all exam takers.

Hair length and exam performance are unrelated factors, and the absence of correlation suggests that hair length does not serve as a reliable predictor of exam scores. The nearly zero correlation indicates that the two variables do not exhibit a consistent pattern or trend. Consequently, shaving one's head does not offer any insight into their exam performance.

In the absence of any other information or factors that could help estimate your friend's score, resorting to the average score of all exam takers becomes the best guess. The average score provides a general benchmark that represents the overall performance of the exam takers as a whole, independent of their hair length or any other unrelated characteristics.

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The aforementioned postulates - ASA, SAS, SSS - are defined and explained below.

The given theorems are used in order to prove the congruency of triangles. If we are presented with a problem in which we are required to prove the congruency of two triangles, we can use these three postulates to prove it.

The three postulates are as thus -

SSS postulate: if 3 sides of the given triangles are equal, then the triangles are congruent.

SAS postulate: If 2 sides and an angle of the given triangles are equal, then the triangles are congruent.

ASA postulate: If 2 angles and a side (in the middle of the angles)of the given triangles are equal, then the triangles are congruent.

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The average return for Stock A over the 5-year period is -6.2%.

The returns for each year are 0%, -18%, -14%, 10%, and -9%. Adding these returns together gives us (-18) + (-14) + 10 + (-9) = -31%.

Next, we divide the sum by the number of years, which is 5.

∴  \(\frac{-31}{5}\)= -6.2%.

Hence, the average return for Stock A over the 5-year period is -6.2%. This means that, on average, the stock experienced a 6.2% decrease in value each year during this period.

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Answer:

3.6cm

Step-by-step explanation:

the points lie in order like this

A.....B.....C

we know that A......B......C total spans 4cm (or 40mm)

we know that A......B spans 4mm

we need to know the length of B......C

B......C = A.......B.......C - A.....B = 40mm - 4mm = 36mm = 3.6cm

Answer:

G'(-4,-1)

Step-by-step explanation:

Answer:

The answer is B -4,-1

Step-by-step explanation:

AP EX verified

Answer: 0 triangles

Step-by-step explanation: Speaking as if side a = 14, b = 60, and c = 10 -------

(a + c) > b

Answer:

0

Step-by-step explanation:

The probability of the shop purchasing is 5/9.

Let X be the number of non-defective engines purchased by the auto shop out of the 4 engines bought. We want to find P(X >= 3), the probability of getting at least 3 non-defective engines.

Using the hypergeometric distribution formula, we have:

P(X >= 3) = P(X = 3) + P(X = 4)

where

P(X = k) = (C(7, k) * C(2, 4-k)) / C(9, 4)

So, we have:

P(X = 3) = (C(7, 3) * C(2, 1)) / C(9, 4) = (35 * 2) / 126 = 5/18

P(X = 4) = (C(7, 4) * C(2, 0)) / C(9, 4) = (35 * 1) / 126 = 5/18

Therefore,

P(X >= 3) = 5/18 + 5/18 = 10/18 = 5/9

So the probability of the shop purchasing at least 3 non-defective engines is 5/9.

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The speed of the object, which is moving at 6 feet per day, can be expressed as approximately 0.00114 miles per year. To calculate this, we convert the feet to miles and the days to years.

To convert feet to miles, we divide the distance in feet by the number of feet in a mile. Since there are 5,280 feet in a mile, we divide 6 feet by 5,280 feet/mile, which gives us 0.00113636 miles.

Next, we convert the speed from per day to per year. Since there are approximately 365.25 days in a year (accounting for leap years), we multiply the speed in miles per day by 365.25 days/year. Multiplying 0.00113636 miles/day by 365.25 days/year gives us 0.41475 miles/year.

Rounding this answer to the nearest hundredth, we get approximately 0.41 miles per year.

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Answer:

B) 17

Step-by-step explanation:

9 + 4^2 / 2

PEMDAS

9 + 16 / 2

9 + 8

17

Answer:

17

Step-by-step explanation:

First \(4^{2}\) is 16, 16 ÷ 2 is 8 and then add the 9

∠A and ∠B are vertical angles having m∠A = x and m∠B = 4x - 30 the result of ∠A = 10.

When two lines intersect at a location, vertical angles are generated. They are always on equal footing. In other words, four angles are generated anytime two lines cross or intersect. We can see that two opposed angles are equal, and these are referred to as vertical angles.

∠B= 4x - 30.

∠A = x

∠A and ∠B are vertical angles

so,

∠A =∠B

  x = 4x - 30

4x - x = 30

3x = 30

 x = 10

m ∠A= x = 10

m ∠A = 10

∠A and ∠B are vertical angles having m∠A = x and m∠B = 4x - 30 the result of ∠A = 10.

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The first-order necessary conditions for the given NLP problem involve the KKT conditions, and a specific solution satisfying these conditions needs further analysis.

(a) The first-order necessary conditions for constrained optimization problems are defined by the KKT conditions. These conditions require that the gradient of the objective function be orthogonal to the feasible region, the constraints be satisfied, and the Lagrange multipliers be non-negative.

(b) Assuming the first Lagrangian multiplier constraint is active means that it holds with equality, while the second one is inactive implies that it does not affect the solution. By incorporating these assumptions into the KKT conditions and solving the resulting equations along with the given constraints, a solution can be obtained.

(c) To determine if the solution satisfies the first-order necessary conditions, one needs to verify if the obtained values satisfy the KKT conditions. This involves checking if the gradient of the objective function is orthogonal to the feasible region, if the constraints are satisfied, and if the Lagrange multipliers are non-negative. Only by performing this analysis can it be determined if the solution satisfies the first-order necessary conditions.

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Answer:

Step-by-step explanation:

Given "Two triangles that have three pairs of proportional sides are always similar."

Triangle 1: 18, 24, 36

Triangle 2: 16, 18, 24

16/18 = 8/9

18/24 = 3/4

24/36 = 2/3

So the three pairs of sides are not proportional and the triangles are not similar.

No as

One ratio is unsimilar so triangles are not similar

Answer:

(x + 2)² - 11, so a = 2 and b = 11

The solution to the system of inequalities is:

x ≥ -3.8 and

x ≤ 3

This can also be expressed as

-3.8 ≤ x ≤ 3

solving the first inequality:

-2x - 3x ≤ 19

Combining like terms, we get:

-5x ≤ 19

Dividing both sides by -5 :

x ≥ -3.8

So we have found that x is greater than or equal to -3.8.

From the second inequality:

-8x ≥ -24

Dividing both sides by -8:

x ≤ 3

So we have found that x is less than or equal to 3.

Therefore, the solution to the system of inequalities is:

-3.8 ≤ x ≤ 3

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After 8 chairs have been bought in there are now 216 chairs in the theater.

A unitary method is a mathematical technique for first finding the value of a single unit and then deriving the required units by multiplying with it.

According to the given question, a small theater had 8 rows of 26 chairs each.

∴ The total number of chairs in the theater is (8×26) chairs = 208 chairs.

Later an extra 8 chairs have bought in.

∴ The total no. of chairs in the theater now is (208+8) = 216 chairs.

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The weight of the astronaut with gear on the moon is 80 pounds.

The pull of gravity is different on Earth than on the Moon as gravity depends on factors such as the mass of the celestial body, the radius of the celestial body, and the density of the celestial body.

The pull of gravity on Earth = 10 m/s²

Thus, Given:

Weight of object on Earth: 25 pounds

Weight is described as the product of mass and the acceleration due to gravity

Thus, 25 = 10 * mass

mass = 2.5 unit

Weight of the object on the Moon: 4 pounds

4 = 2.5 * acceleration due to gravity on the moon

Acceleration due to gravity on the moon = 1.6 m/s²

Weight of astronaut with gear on earth = 500 pounds

500 = mass * 10

mass = 50 units

Weight of astronaut with gear on earth = 50 * 1.6

= 80 pounds

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Answer:

80°

Step-by-step explanation:

m<COB = 80°, it's the central angle for arc CB,

so mCB = 80°

Answer:

Obtuse angle

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

Length of the rope = 12 x 5 = 60 m

Length of each divided rope = 60 divided by 3 = 20 m

Therefore, each piece of rope is 20 m long.

The required measure of each piece of rope is 20m.

The expression model is defined as the model of the given situation in the form of an expression using variables and constants.

Here,
A stick is 5 m long.
A rope is 12 times as long as a stick.
Rope = 12 stick
Rope = 12 × 5 = 60m

The rope is divided into 3 pieces,
Measure of each piece of rope = 60 / 3 = 20m

Thus, the required measure of each piece of rope is 20m.

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The z-score is -5, which indicates that the sample proportion of 40% is 5 standard deviations below the population proportion of 64%.

To calculate the z-score, we first need to determine the standard deviation of the population. Unfortunately, the question doesn't provide us with that information, so we'll have to make an assumption.

Let's assume that the standard deviation of the population is 0.05 (or 5%). This is a common assumption when the population standard deviation is unknown.

Using this assumption, we can calculate the standard error of the sample proportion (the proportion of people in our sample who believe the election was rigged):

standard error = sqrt((p * (1 - p)) / n)

where p is the proportion from the population (0.64) and n is the sample size (100).

standard error = sqrt((0.64 * (1 - 0.64)) / 100) = 0.0498

Next, we can calculate the z-score:

z = (sample proportion - population proportion) / standard error

z = (0.40 - 0.64) / 0.0498 = -4.82

So the z-score is -4.82. This means that our sample proportion is 4.82 standard errors below the population proportion. In other words, our sample result is highly unlikely to have occurred by chance if the population proportion is really 0.64.

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Answer:

2 CDs and 6 movies

Step-by-step explanation:

Let the number of CD you bought be x, and the number of movies you bought be y.

Since you bought 8 items in total,

x + y = 8 ______(1)

The sum of money spent is 78, so

9x + 10y = 78 ________(2)

From equation (1),

x = 8 - y ________(3)

Substitute (3) into (2),

9 (8-y) + 10y = 78

72 - 9y + 10y = 78

- 9y + 10y = 78-72

y = 6

Now substitute y=6 into (3).

x = 8 - y

x = 8-6

x = 2

Therefore, you bought 2 CDs and 6 movies.

Answer:

12.7 units

Step-by-step explanation:

Formula to get the distance between the two points \((x_1,y_1)\) and \((x_2,y_2)\) is,

d = \(\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

From the picture attached,

Sherry is at the origin(0, 0) and going to the top (12, 4)

Distance between these points will be,

d = \(\sqrt{(12-0)^2+(4-0)^2}\)

d = \(\sqrt{160}\)

d = \(4\sqrt{10}\)

  ≈ 12.7 units

Therefore, Sherry has to travel 12.7 units on the ramp.

Answer: Your answer is (B).

To determine which graph shows the solution to the inequality x - 2y ≥ 9, you would need to look for a graph that shows a shaded region representing all the points (x,y) that satisfy the inequality. The boundary line for this inequality would be x - 2y = 9, which can be rewritten in slope-intercept form as y = (1/2)x - 9/2. This line would have a slope of 1/2 and a y-intercept of -9/2. Since the inequality is greater than or equal to, the shaded region would be above the line and include the line itself.

When solving absolute value inequalities involving the greater than symbol (>) or greater than or equal to symbol (≥), we have to consider two cases absolute value expression greater than the constant and less than the constant.

The absolute value expression is greater than the constant:

|x| > c or |x| ≥ c

In this case, we can split the solution set into two parts: x < -c and x > c. The solution is all real numbers less than -c and all real numbers greater than c.

The absolute value expression is less than the constant:

|x| < c or |x| ≤ c

In this case, we can split the solution set into two parts: -c < x < c. The solution is all real numbers between -c and c, excluding -c and c.

For example, consider the inequality |x| > 2. The solution is x < -2 or x > 2, so the solution set is {x | x < -2 or x > 2}.

--The question is incomplete, answering to the question below--

"When solving inequalities that involve absolute value, there are two cases to consider for inequalities involving >. Explain"

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Answer:

5/2

Step-by-step explanation:

2.5 = 25/10 = 5/2

or

2.5 = 2 1/2 = 5/2

Answer:

\(\frac{1}{11}\)

Step-by-step explanation:

\(\frac{3}{12}\cdot \frac{4}{11}\)\(=\frac{1}{11}\)

Hope this helped! :)