The sum of 7 and x is greater than or equal to -15


THIS IS VERY INPORTANT PLZ HELP first person correct brainlist

a. There are 2,184 ways to select a president, a vice president, and a secretary from the club.

b. There are 4 ways to select a president, a vice president, and a secretary if they are all women.

c. The probability that all positions are filled by women is approximately 0.002.

d. There are 1,001 ways to select a committee of 4 people from the club.

e. There are 270 ways to select a committee of 2 women and 2 men from the club.

f. The probability that a committee of 4 people has exactly 2 women and 2 men is approximately 0.270.

g. There are 364 ways to select a committee of 3 people from the club.

a. To select a president, a vice president, and a secretary from the club,

we can use the permutation formula:

P(14,3) = 14!/(14-3)! = 14x13x12 = 2,184

b. To select a president, a vice president, and a secretary from the 4

women in the club, we can use the permutation formula:

P(4,3) = 4!/(4-3)! = 4

c. The probability that all positions are filled by women is the number of

ways to select a president, a vice president, and a secretary if they are

all women (which we found in part b) divided by the total number of ways

to select a president, a vice president, and a secretary (which we found

in part a):

4/2,184 ≈ 0.002

d. To select a committee of 4 people from the club, we can use the

combination formula:

C(14,4) = 14!/(4!(14-4)!) = 1001

e. To select a committee of 2 women and 2 men from the club, we can

use the combination formula:

C(4,2) x C(10,2) = (4!/(2!(4-2)!)) x (10!/(2!(10-2)!)) = 6 x 45 = 270

f. The probability that a committee of 4 people has exactly 2 women and

2 men is the number of ways to select a committee of 2 women and 2

men (which we found in part e) divided by the total number of ways to

select a committee of 4 people (which we found in part d):

270/1,001 ≈ 0.270

g. To select a committee of 3 people from the club, we can use the

combination formula:

C(14,3) = 14!/(3!(14-3)!) = 364

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The other 28% represents the energy loss or inefficiency of the blender.

This means that only 72% of the input energy is effectively converted into useful work, while the remaining 28% is dissipated in the form of heat or other forms of energy loss. This energy loss is typically attributed to factors such as mechanical friction, heat generation, and

It could be due to factors such as friction, heat generation, or mechanical losses within the blender's components. This energy is not effectively converted into the desired blending action and is instead lost as waste.

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Answer:

D

Step-by-step explanation:

Answer:

Point B

Step-by-step explanation:

Ok let's see how we should solve it.

If \(x = \sqrt{11}\) then \(x^2 = 11\)

So we need to find the point that, when squared, seems to give us 11.

Because \(3^2 = 9 < 11\) and \(4^2 = 16 > 11\), we know that the point we're looking for lies between 3 and 4 - only Point B fits.

The scale factor when AABC is a dilation of ADEF with center (0, 0) is 1/3.

A scale factor is a number that scales, or multiplies, some quantity. In the context of geometry, a scale factor is a ratio that describes how the dimensions of one geometric figure are related to the dimensions of another similar figure. Similarly, if a two-dimensional shape is scaled up or down by a factor of k, then all of its linear dimensions (such as length, width, and height) are multiplied by k, and its area is multiplied by k².

Here,

In triangle ABC,

AB=6 units

In triangle DEF,

DE=2 units

Scale factor=DE/AB

=2/6

=1/3

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Hey there!

Use the slope formula:

\(\bold{\displaystyle\frac{y2-y1}{x2-x1} }\)

\(\bold{\displaystyle\frac{-5-(-2)}{3-1}}\)

-5-(-2) is the same as -5+2:

\(\bold{\displaystyle\frac{-5+2}{2} =\frac{-3}{2} }\)

Hence, the slope of the given line is

\(\boxed{\boxed{\bold{-\frac{3}{2} }}}\)

Hope everything is clear.

Let me know if you have any questions!

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#NeverGiveUp

\(\tt{An~Amiable~Helper}\)

The slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope of line passing through the points (1, -2) and (3, -5)

m= -5-(-2)/3-1

=-5+2/2

=-3/2

Hence, the slope of the line that passes through the points (1, -2) and (3, -5) is -3/2.

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Answer:

f in chat

Step-by-step explanation:

11

12

90

8

8

0

Answer:

19 minutes

Step-by-step explanation:

simply add the 2 highest years of experience and divide by 2 to obtain the average.

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer: 30 ft

hope this helped :)

Answer: The percentage change is 20%.

Step-by-step explanation: It was from $0 to $10 which means you would 10/50 and you would get 0.2 which is 20%. I hope I explained it and saved your day:) Have a good day!

Step-by-step explanation:

Change in money = $50- $10=$40

%change = change/total money × 100%

= 40/50 ×100%

The percentage change is 80%.

This means He spent 80% of his $50 on a lunch.

In order to fully understand the actual velocity of the airplane bearing, we've carefully drawn out the sketch.

From the image below, by applying the cosine rule to calculate the actual velocity of the plane from the starting point, we have:

b² = a² + c² - 2ac Cos B

where;

b² = (50² + 325²) - (2 × 50 × 325 × Cos 115°)

b² = 2500 + 105625 - (32500 ×  (-0.4226))

b² = 108125 - (-13734.5)

b² = 121859.5

\(\mathbf{b =\sqrt{121859.5 }}\)

b = 349.08 mph

Therefore, we can conclude that the actual velocity of the airplane from its starting point is 349.08 mph.

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The horizontal asymptote is y = X, and the vertical asymptotes are x = 2 and x = 1.

A curve is a continuous, smooth, and often repeating shape in the plane or in space. It is a geometric object that can be described mathematically by an equation or a set of points.

In mathematics, curves are used to model real-world phenomena and to study geometric and mathematical properties. For example, curves can be used to describe the shape of objects, the path of moving objects, or the graph of a mathematical function.

There are many types of curves, including lines, circles, ellipses, parabolas, hyperbolas, and spirals, among others. Each type of curve has unique properties and characteristics, and they are studied and used in different ways in different fields of mathematics and science.

The horizontal asymptotes are found by examining the degree of the numerator and denominator when x approaches infinity or negative infinity.

Since the numerator is of degree 3 and the denominator is of degree 2, the horizontal asymptote is y = X3 - x / x² – 3x + 2 = X.

For the vertical asymptotes, we look for the values of x that make the denominator equal to zero and the numerator either equal to zero or undefined.

The denominator x² – 3x + 2 = 0 has roots at x = 1 and x = 2.

At x = 1, the numerator x³ - x = 0, so the function has a hole at x = 1 and y = 0.

At x = 2, the function is undefined, so x = 2 is a vertical asymptote.

Thus, the horizontal asymptote is y = X, and the vertical asymptotes are x = 2 and x = 1.

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Answer:

Yes

Step-by-step explanation:

Answer:

me too

Step-by-step explanation:

we have the following:

replacing:

therefore, the mean is 5

Answer:

z = -2

Step-by-step explanation:

First, use the Distributive property to Multiply 4*3z. Do the same to 4*5. You should now have 12z + 20 = -4

Next, you want to isolate the variable. To do that, start by Subtracting 20 from both sides of the equation sign. You should now have 12z = -24

Last, Divide each side by 12. You should now have z = -2

I hope this helps!

Answer:

-2x³ - 5x² - 4x and cubic

Step-by-step explanation:

→ Rearrange the polynomial so the highest power is at the start

-2x³ - 5x² - 4x

→ Now look at the highest power and determine the type of polynomial

Cubic

The matching rational numbers and their equivalent decimal expansions are:

7/9 = 0.777777...

7/15 = 0.466666...

7/10 = 0.7

7/8 = 0.875

What is a rational number?

A rational number is a number that can be expressed as a ratio of two integers, where the denominator is not zero. In other words, a rational number is a number that can be written as a fraction with a finite or repeating decimal expansion.

Matching the given rational numbers to their decimal expansions:

7/9 = 0.777777... (repeating decimal)

7/15 = 0.466666... (repeating decimal)

7/10 = 0.7 (terminating decimal)

7/8 = 0.875 (terminating decimal)

Therefore, the matching rational numbers and their equivalent decimal expansions are:

7/9 = 0.777777...

7/15 = 0.466666...

7/10 = 0.7

7/8 = 0.875

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Answer: 8

Step-by-step explanation:

2 - 8 = -6

Step-by-step explanation:

floor = 12*10= 120 sq ft

rug = r² = 9 Пr2

120-9π = 91.74 sq ft

Answer:

5x5x5x5

Step-by-step explanation:

The expression that has the same value as \(5^4\) is 25² or 625.

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner.

We have \(5^4\).

Usually exponents can be expand using the number the power is raised.

As, if we have 9³ then it means 9 is multiplies by itself three times.

So, 9³ = 9 x 9 x 9= 729

Now, we have to expand  \(5^4\) as

= 5 x 5 x 5 x 5

= 5² x 5²

= 25 x 25

= 25²

= 625

So, the Equivalent value to  \(5^4\) is 25² or or 5² x 5² or 625.

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The 30-foot distance between single-family residences in the Desert Vista subdivision is called a "setback" in development terms.

This setback ensures that the neighborhood maintains adequate spacing between homes for privacy, safety, and aesthetics.

The distance between single-family residences in the new Desert Vista subdivision in Mesa is known as the "setback" in subdivision development terms.

Setbacks are regulations that define the minimum distance a building, such as a single-family residence, must be located from property lines or other structures.

These regulations ensure adequate spacing between buildings for various reasons, including privacy, safety, and aesthetics.
1. The student question mentions that the distance between single-family residences in the new Desert Vista subdivision in Mesa is 30 feet.
2. In subdivision development terms, such a distance is referred to as a "setback."
3. Setbacks are important for maintaining privacy, safety, and aesthetics in a neighborhood.
4. These regulations ensure that there is enough space between buildings, preventing overcrowding and allowing for proper ventilation, sunlight, and access to emergency services.
5. Setbacks vary depending on the type of structure and local zoning laws, which determine the minimum distance required between buildings.

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The required surface area of a rectangular container is 588cm² using a volume of 1,372 cm³.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

In comparison to the definition of arc length for one-dimensional curves or the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces, the mathematical definition of surface area in the presence of curved surfaces is significantly more complex.

The surface area of smooth surfaces, such as spheres, is determined using their representation as parametric surfaces.

Partial derivatives and double integration are used in this definition of surface area, which is based on infinitesimal calculus techniques.

So, we have the volume:

1,372 cm³

Then, h = 1372/s².

Now, calculate as follows:

4 s 1372/s^2 + s^2 = area

5488/s + s^2 = area

s^2 + 5488 (s^-1) = area    

2s - 5488 s^-2 = 0

5488 s^-2 = 2s

5488 = 2 s^3

2744 = s^3    

s =  14        

s * h * s = 1372    

Then, we will have: h = 7

Surface area = 14*14+4*7*14 = 196+4*7*14 = 588 cm²

Therefore, the required surface area of a rectangular container is 588cm² using a volume of 1,372 cm³.

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Let's denote the probability of obtaining heads on a toss of coin A as pA and the probability of obtaining heads on a toss of coin B as pB. The probability of selecting coin A is denoted as p(select A).

To calculate the expected number of tosses until the first heads, we can use the concept of conditional expectation. Let E be the expected number of tosses until the first heads.  If we select coin A, the expected number of tosses until the first heads is 1/pA, as the probability of obtaining heads on each toss is pA. If we select coin B, the expected number of tosses until the first heads is 1/pB, as the probability of obtaining heads on each toss is pB. Using the law of total expectation, we can calculate the overall expected number of tosses: E = p(select A) * (1/pA) + p(select B) * (1/pB) Simplifying further, we have: E = (p(select A)/pA) + (p(select B)/pB) Therefore, to find the expected number of tosses until the first heads, we need to know the probabilities pA, pB, and p(select A). Without these specific values, we cannot provide an exact numerical answer.

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Therefore, the expression equivalent to the given expression \(\sqrt x+11=15\) is \(x=16\).

The given expression is,

\(\sqrt x+11=15\)

It is required to solve the given expression.

Firstly, solve for the constant terms and then take square of both sides of the equation.

The given equation can be solved as,

\(\sqrt x+11=15\\ \sqrt x=4\\ x=4^2\\ x=16\)

Therefore, the expression equivalent to the given expression \(\sqrt x+11=15\) is \(x=16\).

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The equation is equivalent to the given equation is \(\sqrt{x} =15-11\).

Equation; \(\rm \sqrt{x} +11 =15\)

Which equation is equivalent to the given equation?

To determine the equation is equivalent to the given equation following all the steps given below.

Equation; \(\rm \sqrt{x} +11 =15\)

Then,

Subtracting 11 from both sides.

\(\rm \sqrt{x} +11 =15\\\\\rm \sqrt{x} +11-11 =15-11\\\\\rm \sqrt{x} =15-11\)

Hence, the equation is equivalent to the given equation is \(\sqrt{x} =15-11\).

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True, to calculate the average of numeric values in the list, the first step is to get the total of values in the list.

Steps to calculate the Average:

Let’s assume there are 4 numbers having values of 2,8,22,48 respectively.

To find the average we first have to take the total of all values.

2+8+22+48=80.

Our next step will be to divide this total by the number we have in our question i.e., 4.

so, our average will be 80/4= 20.

So, 20 will be our average.

So yes, it is true that to calculate the average of numeric values in the list, the first step is to get the total of all values in the list.

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Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

- 2-- 24 - - - - 36

- 2 - 12 - - - - - 18

- 2 - 6 - - - - - - 9

- 3 - 2 - - - - - - 3

The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

= 2/3

Answer:

115 degrees

Step-by-step explanation:

The line RQ meets at 115 degrees (Look at the bottom numbers)

It's not 65 degrees because the angle is obtuse.

The result is obtained by using the formula for a triangle.

Simply we count the number of grids representing a certain unit.

We have a flag in coordinate system can be seen in the picture.

Each grid represents a foot. Kenna will make five flags.

The flag is a triangle with the base at y-axis.

The base length is 3 ft and the height is 2. The area of the triangle is

Area of a flag = ½ bh

Area of a flag = ½(3)(2)

Area of a flag = 3 ft²

Area of five flags = 5(3 ft)

Area of five flags = 15 ft²

Hence, Kenna will need the material of 3 ft² for one flag and 15 ft² for five flags.

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(the new location) of point under each of the following general transformations are as follows:

a. Image: (3, -10)

b. Image: (-1, -10)

c. Image: (-4/3, -10)

d. Image: (14/3, -10)

What is general transformations?

A transformation is a procedure that involves either changing an object's orientation to create an image or expanding or reducing its size to create a new one.

We'll use the given point (4, -10) as the input for each transformation, and apply the transformation to find the new location of the point.

a. f(x) = (x + 2) - 3

f(4) = (4 + 2) - 3 = 3

Therefore, the new location of the point under the transformation f(x) = (x + 2) - 3 is (3, -10).

b. f(x) = 2(x - 4) - 1

f(4) = 2(4 - 4) - 1 = -1

Therefore, the new location of the point under the transformation f(x) = 2(x - 4) - 1 is (-1, -10).

c. f(x) = -1/3x

f(4) = -1/3(4) = -4/3

Therefore, the new location of the point under the transformation f(x) = -1/3x is (-4/3, -10).

d. f(x) = (2/3)x + 2

f(4) = (2/3)(4) + 2 = 8/3 + 2 = 14/3

Therefore, the new location of the point under the transformation f(x) = (2/3)x + 2 is (14/3, -10).

In each case, the image of the point is the new location after applying the transformation.

a. Image: (3, -10)

b. Image: (-1, -10)

c. Image: (-4/3, -10)

d. Image: (14/3, -10)

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The system described in (a) is invertible, and its inverse system is y_inv(t) = x_inv(t + 4). The system described by (b) is not invertible. The system described in (c) is not invertible. The system described in (d) is invertible, and its inverse system is y_inv[n] = x_inv[n/2].

(a) For the system y(t) = x(t - 4), we can see that it is invertible because we can determine the original input signal x(t) by delaying the output signal y(t) by 4 units of time. Therefore, the inverse system is y_inv(t) = x_inv(t + 4), where x_inv(t) represents the inverse input signal.

(b) The system y[n] = x[1 - n] is not invertible because it does not preserve the information about the original input signal. If we consider two different input signals x1[n] and x2[n] such that x1[n] ≠ x2[n], we can observe that y[n] will be the same for both signals when n = 1. Hence, the system maps different input signals to the same output, indicating a lack of invertibility.

(c) Similar to the previous case, the system y[n] = x[n]x[n - 1] is not invertible because it does not preserve the information about the original input signal. By choosing two different input signals x1[n] and x2[n] such that x1[n] ≠ x2[n], we can find a situation where y[n] is the same for both signals when n = 1. Again, this implies a lack of invertibility.

(d) The system y[n] = x[2n] is invertible because we can recover the original input signal x[n] by downsampling the output signal y[n] by a factor of 2. Therefore, the inverse system is y_inv[n] = x_inv[n/2], where x_inv[n] represents the inverse input signal.

In summary, systems (a) and (d) are invertible, and their inverse systems have been provided. On the other hand, systems (b) and (c) are not invertible, and multiple input signals can yield the same output.

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