All these ratios are equivalent 12:20, 30;50 , 75:125 True or False?

The product is -1.

We will use the FOIL method to find the product.

\(\left(2+\sqrt{5}\right)\left(2-\sqrt{5}\right)\\=4-2\sqrt{5}+2\sqrt{5}-\left(\sqrt{5}\right)^{2}\\=4-2\sqrt{5}+2\sqrt{5}-5\\=4-5\\=-1\)

The product is -1.

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Answer: -1

Step-by-step explanation:

credits to the guy above, they are right :))

Type of rotation of Anticlockwise and clockwise .

A point in coordinate geometry can be rotated through 180 degrees around the origin by drawing an arc with a radius equal to the distance between the provided point's coordinates and the origin, and then extending an angle of 180 degrees at the origin.

The point must be rotated around the origin with regard to its location in the cartesian plane. It is nicely explained in the next part of the 180-degree rotation formula.

The formula for 180-degree rotation of a given value is as follows: if R(x, y) is a point that has to be rotated around the origin, then coordinates of R(x, y) .

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Answer:

(C) Multiply first equation by -2 and second equation by 3, solution (1, 1)

Step-by-step explanation:

Simultaneous equations are set of equations which possess a common solution. The equations can be solved by eliminating one of the unknowns by multiplying each of the equations in a way that a common coefficient is obtained in the unknown to be eliminated.

Given the simultaneous equations:

3x - 5y = -2

2x + y = 3

First step:

Multiply first equation by -2 and multiply second equation by 3,

-6x + 10y = 4

6x + 3y = 9

Second step:

Add the two equations together,

13y = 13

Divide both sides by 13

y = 1

Third step:

Put y = 1 in the first equation

3x - 5(1) = -2

3x - 5 = -2

3x = 5 - 2

3x = 3

Divide both sides by 3:

x = 1

solution (x,y) = (1,1)

Option C

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Answer:

decrease, 25%

Step-by-step explanation:

20/80 × 100 = 25%

Answer:

with what?

Step-by-step explanation:

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

Answer:

24

Step-by-step explanation:

Area of a triangle

A = 1/2 bh

b=12

h=4

A= 1/2 * 12 * 4

A = 24

Answer:

0.32

Step-by-step explanation:

Equation: 16/(2(25)) = ?

Simplify: 16/50

Solve: .32

There are 0.32 ounces of chocolate in each cookie.

There were 0.64 pounds of Choco chips in each cookie.

Unit rate is a rate with 1 as the denominator. A rate is a ratio used to compare different amounts of different quantities that are somehow related.

Given that, Darla made 25 cookies with 16 pounds of Choco chips, we need to find the amount of Choco chips used in each cookie,

So,

16 pounds for 25 cookies

Therefore,

1 cookie = 16/25 pounds

1 cookie = 0.64

Hence, there were 0.64 pounds of Choco chips in each cookie.

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Since the crews need to make a total of 750 pies, and the first crew made 235, the second one made 275, then the third one has to make "X" pies.

We can write then the following math equation to solve for the unknown:

235 + 275 + X = 750

combine the numbers on the left of the equal sign

510 + X = 750

now subtract 510 from both sides of the equal sign to isolate "X"on the left

X = 750 - 510

X = 240

So the third crew has to make 240 pies to get to the total that are needed.

The area οf the actual bridge deck in square feet is 1,280 square feet.

Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.

The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).

The dimensiοns οf the scaled bridge deck in feet are:

24 inches = 2 feet

4 and 4/5 inches = 0.4 feet

Sο, the area οf the scaled bridge deck in square feet is:

2 feet x 0.4 feet = 0.8 square feet

Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:

Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet

Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.

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Answer:

Step-by-step explanation:

The scale factor indicates the actual bridge is 40 times larger than the drawing.

Increase the scale dimensions by the factor of 40.

24 times 40 = 960"

4.8 times 40 = 192" (I changed 4 4/5 to 4.8)

Area = length times width

960 times 192 = 184320 sq inches actual bridge deck in square inches

Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet

Answer:

ans: it's order wise

a) yes

b) no

c) no

d) no

Step-by-step explanation:

use pythagoras theorem

h² = p² + b²

data given satisfying the theorem form right angled triangle

Answer:

The angular speed of the blade is of 166.67 rad/min

Step-by-step explanation:

The velocity, is given by the following equation:

\(v = rw\)

In which r is the radius and w is the angular speed.

We use this relation to solve this question;

We have that:

\(v = 1000, r = 6\). We want to find w. So

\(v = rw\)

\(1000 = 6w\)

\(w = \frac{1000}{6}\)

\(w = 166.67\)

The angular speed of the blade is of 166.67 rad/min

Answer:

Question 1 : Pierre is right

Question 2 : 0.85 (because 1 - 0.15 = 0.85)

Question 3 : Less than 1

Step-by-step explanation:

Answer: 54

Step-by-step explanation:

Let the nubmer = x.

Setting up the equation, we get

x+ 17 = 2x-37

17+37 = 2x-x

x = 54

In the equations of motion, the quantities in the direction of initial velocity are taken as positive. The correct option is C.

When analyzing the motion of an object, it is common to consider the direction of the initial velocity as the positive direction. This convention allows for consistent and standardized calculations.

The equations of motion, such as those derived from Newton's laws of motion, involve quantities like displacement, velocity, and acceleration.

In these equations, the direction of the initial velocity is typically chosen as the positive direction.

Positive values are assigned to quantities that align with the initial velocity, while negative values are assigned to quantities that oppose the initial velocity.

By adopting a consistent convention, it becomes easier to interpret the results and make meaningful calculations.

It ensures that positive values correspond to motion in the same direction as the initial velocity, while negative values indicate motion in the opposite direction.

This simplifies the analysis of various physical scenarios and enables accurate predictions of an object's motion.

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The analytical approach is preferable because the primary issue with Euclidean geometry is that it is not enough to support all of the theorems that he claims to establish.

It is defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.

As we have given about the Euclidean and analytical geometry.

Without using any numerical measurements, we have investigated the connections between points, lines, and planes in Euclidean geometry.

In analytical geometry, we've looked at how the locations of points in a Cartesian coordinate system related to algebra and geometry.

The analytical approach is preferable because the primary issue with Euclidean geometry is that it is not enough to support all of the theorems that he claims to establish.

If the Euclidean geometry can be more advantageous in particular circumstances

Example: If using terrain or building chart),

Thus, the analytical approach is preferable because the primary issue with Euclidean geometry is that it is not enough to support all of the theorems that he claims to establish.

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Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer:

695.4

Step-by-step explanation:

Answer:

Let's start by assigning a variable to Susan's present age. Let's call it "x".

According to the problem, in seven years, Susan will be "x + 7" years old.

Three years ago, Susan was "x - 3" years old.

The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:

x + 7 = 2(x - 3)

Now we can solve for x:

x + 7 = 2x - 6

x = 13

Therefore, Susan's present age is 13 years old.

Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."

Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:

x + 7 = 2(x - 3)

Let's solve this equation to find Susan's present age:

x + 7 = 2x - 6

Subtracting x from both sides:

7 = x - 6

Adding 6 to both sides:

13 = x

Therefore, Susan's present age is 13 years.

The probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight is 0.2419 (approx).

Given that the probability that an international flight leaving the United States is delayed in departing (event D) is .31. The probability that an international flight leaving the United States is a transpacific flight (event P) is .62.

The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .15.

(a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight?

Solution:Given, P(D) = .31, P(P) = .62 and P(D ∩ P) = .15P(D | P) = Probability that the flight is delayed in departing given that it is a transpacific flight.By using Bayes' theorem,P(D | P) = P(D ∩ P) / P(P)

We have, P(D ∩ P) = .15 and P(P) = .62 Substitute these values in the above equation,P(D | P) = .15 / .62 = 0.2419 (approx)Note:Bayes’ Theorem is named after Reverend Thomas Bayes, who first proposed the approach in the 18th century. It is a mathematical formula that helps to calculate conditional probabilities.

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75/6 no puede tener un resto de cero ya que 6 solo entra en 7 12 veces con el resto de 3

According to Polynomial System, the correct answer is that the roots of f(x) are (x+1).

A polynomial system (sometimes just a polynomial system) is a set of simultaneous equations f₁ = 0,..., fₙ = 0. where fi is a polynomial in multiple variables such as x₁,..., xₙ over the fields. k.

This is due to the zero product property that when two binomials are multiplied by 0, one of their factors must be 0.

A simple example of a system of polynomial equations is

x²+y²- 5 = 0

      xy-2 = 0.

Its solutions are the four pairs (x, y) = (1, 2), (2, 1), (-1, -2), (-2, -1). These solutions are easily verified by substitution, but proving that there are no other solutions requires more work.

Based on above description, we can say that:

(x+1) must be 0.

(x+1)=0

x=-1

Thus, If (x-1)=0 then x is 1 instead of -1 in question.

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The mean population in the U.S. is 2,068,548.

The median population in the U.S. is 1,565,659.

There is no mode in the dataset.

The standard deviation of the populations for the top twelve largest cities in the U.S. is 2,279,894.12.

To find the mean population, we need to sum up all the populations and divide by the total number of cities.

Mean = EF / n

Mean = 8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507

Mean = 24, 822,580 / 12

Mean =  2068548.33333

Mean =  2,068,548

Arranging populations in ascending order:

\(911,507, 978,908, 1,021,795, 1,343,573, 1,423,851, 1,547,253, \\1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817, 979,576\)

Median population = (1,547,253 + 1,584,064) / 2

Median population = 1,565,658.50.

The mode represents the value(s) that appear most frequently in the dataset. In this case, there is no single mode as each population value occurs only once. Therefore, we can say that there is no mode in the dataset of the top twelve largest cities in the U.S.

Standard Deviation:

\(\sqrt{(8,336,817 - 1,574,232)^2 + (979,576 - 1,574,232)^2 + (911,507 - 1,574,232)^2) / 12}\\\\\)

\(= \sqrt{62,333,273,003,930 / 12}\\= \sqrt{5,194,439,417,828.33} \\\\= 2,279,894.12\)

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Let f(x, y, z) = z - arctan(x y). Compute the gradient of f at the point (0, 3, 0):

∇ f(x, y, z) = (-y / (1 + x²y²), -x / (1 + x²y²), 1)

∇ f (0, 3, 0) = (-3, 0, 1)

This vector is orthogonal to the surface z = f(x, y). Then the equation of the tangent plane is

∇ f (0, 3, 0) • (x, y - 3, z) = 0

(-3, 0, 1) • (x, y - 3, z) = 0

-3x + z = 0

z = 3x

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

The exact area of the circle with a radius of 9 cm is 81π cm².

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know, The area of a circle is πr².

Given, The radius of the circle is 9 cm.

Therefore, The area of the circle with a radius of 9 cm is,

= π(9)² cm².

= 81π cm².

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Answer:

y=-3/4x + 11/4

Step-by-step explanation:

First thing is to minus 3x from 3x and 12.
You will get 4y=-3x+12.
Divide all the sides by 4.
You will get y=-3/4+3.
Now input 1(x), and 2(y) into the slope-intercept form equation.
2=-3/4(1)+b
2=-3/4+b
+3/4 +3/4
2 3/4=b
You can simplify it into 11/4
So, the equation will be y=-3/4x + 11/4
I hope I got this right.

Answer:

11

Step-by-step explanation:

count squares in between point