The legs of a right triangle are represented by a and b, and the hypotenuse of the right triangle is represented by c. Which equation is not equivalent to the Pythagorean
Theorem? please answer fast
​

The region enclosed by the given curves is a bounded area between two curves. To determine whether to integrate with respect to x or y, we can analyze the equations of the curves. Drawing a typical approximating rectangle helps visualize the region.

The given curves are 3πα^3y = y^2 and -sin(Ty^2x) - 1 ≤ y ≤ 0. To sketch the region enclosed by these curves, we first analyze the equations.

The equation 3πα^3y = y^2 represents a parabolic curve with a vertical symmetry axis. Since the equation involves both x and y, we can integrate with respect to either variable. However, since the other curve is defined in terms of y, it is more convenient to integrate with respect to y to determine the area of the region.

The curve -sin(Ty^2x) - 1 ≤ y ≤ 0 represents a curve that depends on both x and y. It is a periodic function with a vertical shift of -1 and lies between y = 0 and y = -1.

By integrating the function with respect to y and evaluating the bounds of the y-interval, we can find the area enclosed by the curves. The typical approximating rectangle can be visualized by dividing the region into small vertical strips and approximating each strip with a rectangle. By summing the areas of these rectangles, we can estimate the total area of the region enclosed by the curves.

Learn more about rectangle here:

https://brainly.com/question/15019502

#SPJ11

Using proportions, it is found that:

A proportion is a fraction of a total amount, and the measures in the context of a problem are found using basic arithmetic operations such as multiplication and division.

One application of proportions is for ratio problems, as fractions are built from the ratios to find the equivalent amounts.

Caleb noticed that for every 10 orders of cheese pizza there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushroom pizza, hence the fraction of Pepperoni pizzas out of the total is given by:

Pepperoni = 7/(10 + 7 + 5 + 8) = 7/30 of the total.

If 35 pepperoni pizzas were ordered, the total number is found as follows:

7x/30 = 35

7x = 30 x 35

x = 30 x 5

x = 150 pizzas.

2 out of every 25 pizzas were burned, hence the number of burned pizzas is given by:

2/25 x 150 = 2 x 6 = 12 pizzas.

The cheese fraction is given by:

10/30.

Hence, out of 360 pizzas, the number is given by:

10/30 x 360 = 10 x 12 = 120 cheese pizzas

The mushroom fraction is given by:

8/30.

Hence, out of 360 pizzas, the number is given by:

8/30 x 360 = 8 x 12 = 96 mushroom pizzas

Learn more about proportions at https://brainly.com/question/24372153

#SPJ1

The correct answer is c. I and III only.

Explanation:

i. As x → [infinity], f(x) → 2: This statement is true. As x approaches infinity, the exponential term -2^(-x - 2) approaches 0, and the constant term 2 remains. Therefore, the function approaches 2 as x approaches infinity.

ii. The x-intercept is (-2, 0): This statement is false. To find the x-intercept, we set f(x) = 0 and solve for x:

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

2^(-x - 2) = 2

Taking the logarithm of both sides:

(x + 2) = log2(2)

(x + 2) = 1

x = -3

Therefore, the x-intercept is (-3, 0), not (-2, 0).

iii. The function is an example of exponential decay: This statement is true. The function f(x) = -2^(-x - 2) + 2 is a decreasing function as x increases. As x becomes larger, the exponential term -2^(-x - 2) becomes smaller, causing the function to approach 2, which is the horizontal asymptote. This behavior is characteristic of exponential decay.

In summary, based on the given options, statements i and iii are true, while statement ii is false. Therefore, the correct answer is c. I and III only.

Know more about Asymptote here:

https://brainly.com/question/32503997

#SPJ11

There are several statistics that are robust to outliers: Median, Interquartile range, Winsorized mean and Trimmed mean.

These statistics are more suitable for datasets that contain outliers as they are less influenced by the extreme values and provide more accurate information about the central tendency and variability of the data.

Learn more about Statistics are robust to outliers

brainly.com/question/28589666

#SPJ11

The value of sin(θ) is approximately 0.921 and the value of cos(θ) is approximately 0.391.

To find the value of each variable using sine and cosine, we need to set up a right triangle with the given information. Let's label the sides of the triangle as follows:

Using the Pythagorean theorem, we can find the length of the hypotenuse:

h2 = s2 + t2

h2 = 31.32 + 13.32

h2 = 979.69 + 176.89

h2 = 1156.58

h = √1156.58

h ≈ 34.0

Now that we know the length of the hypotenuse, we can use sine and cosine to find the values of the variables:

sin(θ) = s / h

sin(θ) = 31.3 / 34.0

sin(θ) ≈ 0.921

cos(θ) = t / h

cos(θ) = 13.3 / 34.0

cos(θ) ≈ 0.391

About value here:

https://brainly.com/question/30145972

#SPJ11

Answer:

Angle A= 61°

Step-by-step explanation:

angle A+ Angle B+Angle C= 180°( Angle sum property)

∠A+57+72= 180°

∠A= 180°- 127°= 61°

The equation of the line in the graph is

From the graph the line passed through points (4,-1) and (0,5)

using the slope-intercept form of a line, which is y = mx + b,

where

m is the slope and

b is the y-intercept.

the slope of the line

m = (5 - (-1)) / (0 - 4) = 6 / -4 = -3/2

form the points the y intercept is 5

Therefore, the equation of the line is y = -3/2 x + 5.

Learn more about equation of line at

https://brainly.com/question/18831322

#SPJ1

Therefore, the approximate effective interest rate of the loan is approximately 121.816%, which corresponds to answer choice B.

Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol % and represents a portion of 100. Percentages are often used to express ratios, proportions, and rates in a variety of fields such as math, science, finance, and statistics. They can also be used to compare two quantities and determine the increase or decrease of one quantity relative to another.

Here,

To find the effective interest rate, we can use the formula:

Effective interest rate = (1 + (periodic interest rate/n))ⁿ - 1

where n is the number of payment periods in a year. In this case, the loan has a single payment period of 8 days, which is less than a year. To approximate the effective interest rate, we can assume that there are 365/8 = 45.625 payment periods in a year.

Substituting the given values in the formula, we get:

Effective interest rate = \((1 + (0.111/45.625))^{45.625} - 1\)

Effective interest rate ≈ 1.21816

Multiplying the result by 100% gives the effective interest rate as a percentage:

Effective interest rate ≈ 121.816%

To know more about percent,

https://brainly.com/question/29172752

#SPJ1

we are given the following function:

We are asked to find:

This means the value of the function when x = -2, therefore, in the function where ever we find "x" we replace it with -2, like this:

Solving the operations:

Therefore, f(-2) = 11

Answer: Linear, Nonlinear, Linear, Nonlinear

Step-by-step explanation:

First 1: as x increased y also increased which means the thing is a line hint linear

Second 1: According to the points (u can graph them out if u want to) it goes down then up which isn't a straight line hence quadratic or nonlinear

Third 1: first degree hint linear

Fourth 1: Absolute value thing looks like a V when u plot it so its not linear

The linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

The given equation is x² + 2x* + 2x² - 12x + 10 = 0.

It needs to be linearized around its equilibrium position.

Linearizing the given equation around its equilibrium position x0, we have;

f(x) = f(x0) + f'(x0)(x - x0)

Where f(x) = x² + 2x* + 2x² - 12x + 10

The equilibrium position is the point where f(x) = 0.

Hence, f(x0) = 0.

Thus, x² + 2x* + 2x² - 12x + 10 = 0⇒ 3x² - 6x = -10⇒ x² - 2x + (2.33) = 0(x-1)² = 0.77x - 0.77 or

x = 1 + (0.77)/(2) or x = 1.39

Hence, the equilibrium position x0 = 1.39.

Substitute x0 = 1.39 in the equation and simplify to get f'(x0):

f(x) = x² + 2x* + 2x² - 12x + 10

f(x) = 3.84 - 8.34 + 10

f'(x0) = f'(1.39) = -4.8

Therefore, the linearized equation around its equilibrium position is given as;f(x) = -4.8(x - 1.39)

To more about linearized equation, click here

https://brainly.com/question/32634451

#SPJ11

Answer:

You jump 0.03 m farther

Step-by-step explanation:

178 cm = 1.78 m

1 3/4 m = 1.75 m

1.78 - 1.75 = 0.03 m

Answer:

The possible number of students in Mrs. Hayko's class is limited to 15 or 30, as higher multiples of 15 would exceed the desired class size.

Step-by-step explanation:

a)

Let 'x' be the total number of students in Mrs. Hayko's class.

One-third of the students walk to school: (1/3)x.

The remaining students who do not walk to school: (2/3)x.

Four-fifths of the non-walking students take the bus: (4/5) * (2/3)x.

Simplify to find the fraction of students taking the bus: (8/15)x.

b)

Consider different values for 'x' to find a whole number of students taking the bus.

Start with a small number, such as x = 15.

Calculate the number of students taking the bus using (8/15)x.

If the result is a whole number, it's a possible class size.

Repeat with different values of 'x' until a whole number is obtained.

The possible number of students in Mrs. Hayko's class could be 15, 30, or any other multiple of 15.

Answer:

individuals rights

Step-by-step explanation:

there are some country where women don't get their right, but if we were to vote the right person then women would their right

he number of ways the friends can choose seats without sitting next to each other is 7! - 4! = 5040

If there are 5 seats open in a row and no restrictions on the seating arrangement, each friend can choose one seat independently. Therefore, the total number of ways the friends can choose seats is 5 factorial (5!) which is equal to 5 × 4 × 3 × 2 × 1 = 120.

(b) If there are 7 seats open in a row and no restrictions on the seating arrangement, each friend can choose one seat independently. Therefore, the total number of ways the friends can choose seats is 7 factorial (7!) which is equal to 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040.

(c) If two friends are required to sit next to each other, we can treat them as a single entity. This reduces the problem to arranging four entities (three individual friends and one pair of friends) and three empty seats. The total number of ways the friends can choose seats is then 4 factorial (4!) which is equal to 4 × 3 × 2 × 1 = 24.

(d) If two friends are required to not sit next to each other, we can count the complement of the situation in part (c). There are 7 factorial (7!) total seating arrangements without any restrictions. From part (c), we found that there are 4 factorial (4!) seating arrangements where the two friends sit next to each other. - 24 = 5016.

Know more about arrangement here:

https://brainly.com/question/28406752

#SPJ11

This situation constitutes a negative externality because the actions of U.S. farmers in the Southwest are causing harm to Mexican farmers downstream, resulting in negative consequences for their crops and livelihoods.

A negative externality occurs when the production or consumption of a good or service imposes costs on third parties who are not directly involved in the transaction. In this case, the irrigation practices of U.S. farmers are leading to salt leakage into the Colorado River, which negatively impacts Mexican farmers who rely on the river for irrigation.

The increased salinity of the river water prevents Mexican farmers from effectively irrigating their own land, resulting in devastation to their crops and economic losses. The costs of this pollution and reduced agricultural productivity are borne by the Mexican farmers, even though they are not directly responsible for the actions causing the negative externality.

Learn more about costs here:

https://brainly.com/question/28778430

#SPJ11

According to the information, there were 19 rungs on the ladder. The fireman started on the 11th rung.

To calculate how many rungs were on the ladder and on which rung did the fireman start on we have to analyze the given information step by step:

From this information, we can deduce that the fireman climbed up three rungs, then climbed down five rungs, and finally climbed up seven rungs. This means that the net movement in the upward direction was 3 - 5 + 7 = 5 rungs.

Since the fireman entered the building after climbing the last six rungs, we can conclude that the net upward movement was one rung short of reaching the top of the ladder. Therefore, the total number of rungs on the ladder is 5 + 6 = 11.

According to the above, there were 19 rungs on the ladder (11 rungs below the starting position and 7 rungs above), and the fireman started on the 11th rung.

Learn more about fireman in: https://brainly.com/question/29373457

#SPJ1

Samantha and Mia are 13 km apart from each other.

A right triangle's squared sides add up to the hypotenuse's squared length, according to the Pythagorean Theorem.

Mia is 7 kilometers north of Julia's home as she walked at a speed of 7 kilometers per hour.

Samantha walked at an average speed of 11 km/h, and she is now 11 kilometers west of Julia's home.

A right-angled triangle is formed by Julia's house, Mia and Samantha's locations after one hour, and the figure's points.

Hypotenuse of the triangle, which measures distance between the females

the Pythagorean theorem,

H² = P² + B²

H² = 7² + 11²

H² = 49 + 121

H = √170

H = 13.038

H = 13km

Between them, there is a 13 kilometer distance.

To know more about Pythagorean Theorem visit:

https://brainly.com/question/2245624

#SPJ4

Answer:

  3.  · (times)

Step-by-step explanation:

You want to know the operation that will give a binomial result from the expressions (3y^6 +4) and (9y^12 -12y^6 +16).

The like terms in the two expressions are 3y^6 and -12y^6, or +4 and +16. Combining these terms by addition or subtraction will not result in the elimination of either the y^6 term or the constant term. Hence addition or subtraction cannot result in a binomial.

We know that the sum of cubes is factored into the product of a binomial and a trinomial:

  a³ +b³ = (a +b)(a² -ab +b²)

Comparing this form to the given binomial and trinomial, we see that we can choose ...

  a = 3y^6

  b = 4

to make the given factors match exactly. That tells us their product will be a binomial sum:

  (3y^6 +4) × (9y^12 -12y^6 +16) = (3y^6)^3 +(4)^3 = 27y^18 +64

The operation "times" (·) will result in a binomial.

Answer:

A) spring tide

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

$460 + $90 = $550

4 x $20 = $80

$550 - $80 = $470

$470/10 = 47

they have to wash 47 cars

Answer:

I need some more detail on character can you remember?

Step-by-step explanation:

Answer:

i think it is The Goldfinch

Step-by-step explanation:

pretty sure that is right...

To determine the tension in each of the three vertical wires supporting the rectangular plate, we can apply the principle of equilibrium. By considering the forces acting on the plate, we can calculate the tension in each wire.

Since the plate is in equilibrium, the sum of the vertical forces acting on it must be zero. The weight of the plate is acting downward with a magnitude of 60 lb. The tension in each wire can be considered as a vertical force acting upward.

Let's label the wires as A, B, and C, from left to right. Considering the forces acting on the plate, we have the following equation:

Tension in wire A - Tension in wire B - Tension in wire C = 60 lb.

To find the tension in each wire, we need additional information. For example, if the plate is symmetric, we can assume that the tension in wire B is equal to the tension in wire C. In that case, we can rewrite the equation as:

Tension in wire A - 2 * Tension in wire B = 60 lb.

Since there are no additional details or measurements provided about the plate or the wires, we cannot determine the specific values of the tensions in each wire without further information. The solution would depend on the specific configuration and characteristics of the plate and the wires.

Learn more about equilibrium here:

https://brainly.com/question/30807709

#SPJ11

This value of v into the formula for centripetal acceleration, we have:14.7 = (2πr/45)2Solving for r, we get:r = 77 meters (rounded to the nearest whole number). Therefore, the radius of the loop is 77 meters.

A loop is created by having an airplane follow a circular path in a vertical plane. This means that the acrobatic plane has centripetal acceleration, which is directed towards the center of the circular path. The acceleration depends on the speed of the plane, the mass of the plane, and the radius of the circular path. The acceleration can be calculated using the formula a = v2/r where v is the velocity and r is the radius of the circular path.

The given centripetal acceleration, a = 14.7 m/s2, is equal to v2/r. The velocity of the plane is not given, but we can use the fact that the pilot takes 45 seconds to complete the loop to find the velocity. During the loop, the plane travels a distance equal to the circumference of the circular path.

Therefore, the velocity of the plane is given by the formula v = 2πr/t where t is the time taken to complete one loop, which is 45 seconds.

Substituting this value of v into the formula for centripetal acceleration, we have:14.7 = (2πr/45)2Solving for r, we get:r = 77 meters (rounded to the nearest whole number) Therefore, the radius of the loop is 77 meters.

To know more about Radius  visit :

https://brainly.com/question/30106091

#SPJ11

Step-by-step explanation:

As in the photo__________

Answer:

Step-by-step explanation:

-2x - 20y = -34

2x + 6y = 6

-14y = - 28

y = 2

x + 20 = 17

x = -3

(-3,2)

The answer is A