How many solutions does the system have? \begin{cases} 5x-y=2 \\\\ 5x-y=-2 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 5x−y=2 5x−y=−2 ​ Choose 1 answer: Choose 1 answer: (Choice A) A Exactly one solution (Choice B) B No solutions (Choice C) C Infinitely many solutions

The three pairs of equivalent parts in triangle ΔFGM and ΔFHM are;

A right triangle is a triangle that has a 90° interior angle.

The triangle ΔFGH is an isosceles triangle, therefore;

FG = FH (The legs of an isosceles triangle are congruent)

FM = One of the heights of the triangle, therefore;

FM = AN altitude of the triangle and FM is perpendicular to GH, by the definition of an altitude to a side of a triangle

∠FMH ≅ ∠FMG (All 90° angles are congruent)

ΔFMG ≅ ΔFMH (Hypotenuse-Leg congruence rule)

The three congruent and therefore parts in triangle are;

Please find attached the drawing of the isosceles triangle ΔFGH created with MS Word

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Answer:

x = - 4

Step-by-step explanation:

x = 19 is a vertical line parallel to the y- axis

A line parallel to it has the equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (- 4, 7 ) with x- coordinate - 4 , then

x = - 4 ← equation of parallel line

BMW of North America recalled certain vehicles with possibly defective head airbags in February 2018, and claimed that 4% of the recalled vehicles actually had defective airbags. Let X be the number of vehicles that have defective airbags out of six selected vehicles. The probability of a defective airbag is 4%, while the probability of a non-defective airbag is (1-0.04) = 0.96.

Using the binomial probability formula, the probability of x successes in n independent trials with the probability of success p is given by P(x) = nCx px(1 - p)n-x, where nCx represents the number of ways to choose x items from n distinct items. In this case, x = 0 (i.e., none of the six vehicles have a defective airbag), p = 0.04, and n = 6. Hence, we have:

P(0) = 6C0 (0.04)0 (0.96)6-0= 1(1)(0.96)6= 0.850 (approx)

Therefore, the probability that none of the six vehicles has a defective airbag is approximately 0.850.

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Answer:

28ares

Step-by-step explanation:

that's the correct way.i hope you will understand it. if there's any question feel free to ask. nice day.

Answer:

(4.6, 4)

Step-by-step explanation:

Given the coordinates (3,2) and (7, 7) partitioned between 3:2

M(X,Y) = [(ax1+bx2/a+b, ay1+by2/a+b)]

X = 3(3)+2(7)/3+2

X = 9+14/5

X = 23/5

X = 4.6

Similarly;

Y = 3(2) + 2(7)/3+2

Y = 6+14/5

Y = 20/5

Y = 4

Hence the required coordinate is (4.6, 4)

The difference between two rules is that the general multiplication rule can be applied to both dependent and independent events to calculate the joint probabilities while the multiplication rule isn't.

General multiplication rule

This rule is used for both dependent and independent events. In case of dependent events, the general rule of  multiplication permits to factor in as to how the happening of event A can affects the probability of event B. The formula for a general rule of multiplication is given by

P (A ∩ B) = P (A) * P (B | A)

Multiplication rule.

The probability of events A and B occurring together can be found using the rule of multiplication when the individual probabilities of the events A and B are known. The joint probability of events A and B happening is given by the equation- P (A ∩ B).

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Answer:

The correct answer of this question is 2

Answer: 2 people

Step-by-step explanation:

Since 25 both do english and B.M, subtract 25 from any one of them

53 - 25 = 28

Now, add 28 it to the one that we didn't subtract, 50

28 + 50 = 78

Now, subtract the total, 80 from 78

80 - 78 = 2

∴ 2 people haven't done any tuition

Finding a solution of an equation means determining the value(s) that make the equation true. This is achieved by manipulating the equation to isolate the variable and solve for its value(s). The methods for finding solutions may vary depending on the type of equation.

Finding a solution of an equation means finding a value or values that make the equation true. An equation is a mathematical statement that contains an equals sign (=), and it states that two expressions are equal. The solution(s) of an equation are the value(s) that satisfy the equation and make it true.

To find a solution of an equation, we need to manipulate the equation to isolate the variable on one side of the equals sign. This involves performing the same operation to both sides of the equation in order to maintain equality. By simplifying the equation, we can solve for the variable and determine its value(s).

There are different types of equations, such as linear equations, quadratic equations, and exponential equations. The methods for finding solutions may vary depending on the type of equation.

For linear equations, we often use techniques like addition, subtraction, multiplication, and division to isolate the variable. Quadratic equations involve solving for the variable using techniques like factoring, completing the square, or using the quadratic formula. Exponential equations involve taking logarithms or using exponential properties to find the variable.

It's important to note that an equation may have one solution, multiple solutions, or no solutions at all. The solution(s) can be a specific value, a range of values, or even an expression.

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Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23/6

This last result can be rewritten as -3 5/6.

Hope this help, stay safe and have a nice day! :))))))

Answer:

-3 5/6

Here is what i did to solve it.:

-1 2/3 = -5/3, and -2 1/6 = -13/6.  The LCD is 6.

We convert -5/3 to -10/6 and combine this result with -13/6:

-10/6 - 13/6 = -23

In this case, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature.

Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.In this case, the patient is exhibiting symptoms of dehydration, including vomiting and minimal intake, which may result in hypovolemic shock. The patient is also experiencing severe abdominal distention and pain, which may indicate a gastrointestinal obstruction or perforation. These symptoms can be life-threatening and require immediate intervention by the nurse. Therefore, the nurse should perform a complete physical examination to determine the cause of the patient's symptoms. This examination should include a detailed abdominal assessment, such as auscultation for bowel sounds, palpation for tenderness and rigidity, and percussion for the presence of ascites. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. The nurse should also monitor the patient's urine output to ensure adequate fluid replacement and to detect any signs of renal failure. The nurse should administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

In conclusion, the nurse should perform a complete physical exam to determine the cause of the patient’s symptoms. The nurse should also assess the patient's vital signs, including heart rate, blood pressure, and temperature. Once the assessment is completed, the nurse should immediately initiate fluid resuscitation to prevent dehydration and hypovolemic shock. The nurse should also administer pain medication as ordered and elevate the head of the bed to relieve abdominal distention.

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The vertex and range are (-2, -3) and y >= -3 respectively

The equation is given as:

y = |x +2| - 3

The above equation is an absolute value equation

An absolute value equation is represented as:

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-2, -3)

Also, we have

a = 1

Since a is positive, then the vertex is a minimum

Hence, the vertex and range are (-2, -3) and y >= -3 respectively

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Answer:

Zarina is 8

Step-by-step explanation:

this is a little bit of what goes on in my head

400 the product of the ages / 50 her fathers age = ? her age

400 / 50 = 8

but you could also they can each be divided by 10

400 / 10 = 40

50 / 10 = 5

40 / 5 = 8

Zarina is 8 years old

Answer:

This is the answer, dont forget to change the wording or you'll get a plagiarism strike.

Step-by-step explanation:

The magnitude of the resultant force is 55 lbs, the horizontal component of the resultant force is 25.3 lbs, and the vertical component of the resultant force is 51.8 lbs.

In order to find out how to use Python to calculate the resultant force of two forces pulling against each other, one at 10 lbs and the other at 32 lbs, with a resultant force of 55 lbs, you can use the Pythagorean theorem to find out the magnitude of the resultant force. Here's an example code in Python that uses the Pythagorean theorem to calculate the magnitude of the resultant force:

```python
import math

# Given forces
force1 = 10
force2 = 32

# Magnitude of the resultant force
resultant_force = 55

# Calculate the angle between the forces
angle = math.atan(force2/force1)

# Calculate the magnitude of the horizontal and vertical components of the resultant force
horizontal_component = resultant_force * math.cos(angle)
vertical_component = resultant_force * math.sin(angle)

# Print the magnitude of the resultant force
print("The magnitude of the resultant force is:", resultant_force, "lbs.")

# Print the horizontal and vertical components of the resultant force
print("The horizontal component of the resultant force is:", horizontal_component, "lbs.")
print("The vertical component of the resultant force is:", vertical_component, "lbs.")
```

This code first imports the `math` module, which provides mathematical functions like `atan`, `cos`, and `sin`. Then it defines the given forces as `force1` and `force2`, and the magnitude of the resultant force as `resultant_force`.

The angle between the forces is calculated using `atan`, which takes the ratio of the forces as an argument. The horizontal and vertical components of the resultant force are calculated using `cos` and `sin`, respectively. Finally, the magnitude of the resultant force and its components are printed. The output of this code would be:

```
The magnitude of the resultant force is 55 lbs.
The horizontal component of the resultant force is 25.29945594448618 lbs.
The vertical component of the resultant force is 51.80241498935868 lbs.
```

Therefore, the answer to the problem is that the magnitude of the resultant force is 55 lbs, the horizontal component of the resultant force is 25.3 lbs, and the vertical component of the resultant force is 51.8 lbs. The Python code provided above uses the Pythagorean theorem to calculate the magnitude of the resultant force.

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Answer:

X = 8?

Step-by-step explanation:

I'm not sure if I'm correct but I used this solution of since 4x + 1.

Usually if its + something then you subtract it so 33-1 is 32 then

4x= 32

x=8

If I'm wrong, I apologise.

A.  The event "the student could run a mile in less than 7.72 minutes" can be written as Y < 7.72.

B. The probability that a randomly chosen student can run a mile in less than 7.72 minutes is approximately 0.7937.

(a) The event "the student could run a mile in less than 7.72 minutes" can be written as Y < 7.72.

(b) We need to find the probability that a randomly chosen student can run a mile in less than 7.72 minutes.

Using the standard normal distribution with mean 0 and standard deviation 1, we can standardize Y as follows:

z = (Y - mean)/standard deviation

z = (7.72 - 7.11)/0.74

z = 0.8243

We then look up the probability of z being less than 0.8243 using a standard normal table or calculator. This probability is approximately 0.7937.

Therefore, the probability that a randomly chosen student can run a mile in less than 7.72 minutes is approximately 0.7937.

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Characteristics: special quality or trait that distinguish a person, thing, or group from others.

The given series is the sum of the p-series with p = 3/2, that is, Σn^(3/2) / 3^n.

To determine whether the series converges or diverges, we can apply Theorem 9.11, which states that the p-series Σn^p converges if p > 1 and diverges if p ≤ 1. Since p = 3/2 > 1, the series converges by Theorem 9.11.

To see why, note that Σn^(3/2) / 3^n ≤ Σn^(3/2) / 2^n for all n ≥ 1. This is because 3^n > 2^n for all n ≥ 1. Now, Σn^(3/2) / 2^n is a convergent geometric series with common ratio (1/2)^(1/2) < 1, and so by the Comparison Test, Σn^(3/2) / 3^n converges as well. Therefore, the given series converges.

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x² + 8² = 10²

x² + 64 = 100

x² = 100 - 64

x² = 36

x = 6

(a) The probability that an incoming call will be from a customer who has not followed installation instructions properly is 0.0092.

(b) The probability that an incoming call is a request for purchasing more products is 0.1150.

(a) To calculate the probability that an incoming call will be from a customer who has not followed installation instructions properly, we use the information given that 3% of the complaints fall into this category.

Probability of improper installation instructions = 0.03

(b) To calculate the probability that an incoming call is a request for purchasing more products, we use the information given that 50% of the requests for information are of this type.

Probability of requesting to purchase more products = 0.50

(a) The probability that an incoming call to the customer service center will be from a customer who has not followed installation instructions properly is approximately 0.0092.

(b) The probability that an incoming call is a request for purchasing more products is approximately 0.1150.

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Answer:

A, a dilation of 2

Step-by-step explanation:

The answer is, A dilation of 2 because the image is getting dilated to a  bigger form. If it was a decimal or a fraction; the image would be smaller and than the pre-image.

(Pre-image is a shape before a transformation, image is after a ransformation.)

Have a great day friend! :D

The answer is x = 4

y = -1

z = -3

3x+2y+z=7

5x+5y+4z=3

3x+2y+3z=1

________

Let's take the first and the third equation, multiply the first one by (-1) and sum them up:

3x+2y+z=7

3x+2y+3z=1

____

-3x-2y-z=-7

3x+2y+3z=1

____

2z = -6

z = -6/2

z = -3

Substitute z in all equations:

3x+2y+z=7

5x+5y+4z=3

3x+2y+3z=1

______

3x + 2y - 3 = 7

5x + 5y - 12 = 3

3x + 2y - 9 = 1

______

3x + 2y = 10

5x + 5y = 15

3x + 2y = 10

The first and the third equations are the same, so one can be excluded:

3x + 2y = 10

5x + 5y = 15

Multiply the first equation by -5 and the second equation by 2 and sum them up:

-15x - 10y = -50

10x + 10y = 30

_________

-5x = -20

x = -20/-5

x = 4

Substitute x:

3x + 2y = 10

12 + 2y = 10

2y = 10 - 12

2y = -2

y = -2/2

y = -1

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Answer:

51:135

common factor is 3

51/3 = 17

135/3 = 45

17:45

Answer:

first angle is 95

second angle is 95

third angle is 95

the sum of angle in a quadrilateral is 360

therefore 95+95+95°=285

to get the fourth angle=360-285=75

therefore the fourth angle is 75°

Ratio scale of measurement for the following variable, The weight of a group of dieters.

Ratio measurement scale of ratio variables include height, weight, and distance. The ratio scale allows for the addition, subtraction, division, and multiplication of data. Additionally, ratio scales have a "real zero," which sets them apart from interval scales. The ratio scale is used to determine weight. The ratio is identical to the interval scale, with the exception that 0 on the scale denotes the absence of anything. serval scales can depict values lower than zero and do not hold a true zero. For instance, you can gauge temperatures as low as -10 degrees Celsius. Contrarily, ratio variables are always greater than zero. Height and weight are measured starting at 0 and never below it. Because they are numbers as we typically think of them, ratio scales are the simplest to comprehend. On a ratio scale, the distance between consecutive numbers is equal, and a score of zero indicates that there is no presence of the thing being measured. The majority of ratio scales are counts of items.

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Answer:

$130

Hope I helped

Answer:

The number in the green box should be, 11

in scientific notation, we get the number,

\((9.32)(10)^{11}\)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Look at the blue number 9.32. The decimal point is in between the 9 and the three. On the problem the decimal point is at the very end after the last zero, all the way to the right. It is understood, that means it's not written. So how many hops does it take to get the decimal from the end all the way over to in between the nine and the three? It takes 11 moves. The exponent is 11

Answer: t=12

Step-by-step explanation:

t-2=10

add 2 to both sides of the equation

t=12

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence