In triangle TGP, Look at picture if confused by what I asked

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1  ....(1)

x + 2y - 4z = -1  ......(2)

y – 2z = 0  .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

answer

Toxic or harmful best describes two substances that react to form salt

Answer:

0.888

Step-by-step explanation:

Answer: 0.890

Step-by-step explanation: First, convert 8/9 to decimal form which is 0.088888888889. Next, round to the nearest thousandth which is 0.890.

Answer:

4.8kg

Step-by-step explanation:

Answer:

4,8 kg

Step-by-step explanation:

divide 24 kg by 100

that is 1%

1% of 24kg = 0,24kg

20% = 0,24 x 20 = 4,8kg

Answer: is 7 an answer choice ?

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

x-15/5=4

x-3=4

x=4+3

x=7

The average number of calls per day that can be modeled by a Poisson random variable is denoted by λ is equal to 5.29832.

A Poisson distribution in statistics is a probability distribution that is used to demonstrate how frequently an event is likely to happen over a given period of time.

Let C denotes the number of calls per day.

Given:

On average about 0.5% of the time the call center receives no calls at all.

So, P(C = 0) = 0.5% = 0.005

The formula for Poisson distribution is:

=> e^-λ . λ^x / x!

where x = 0,1,2,3, ....

λ = mean number of occurrences in the interval

e = Euler's constant ≈ 2.71828

=> -λ = ln (0.005)

=> λ = 5.29832

Thus, the average number of calls per day is equal to λ = 5.29832.

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The actual length of the car, given a scale of 1:40 and a model length of 10cm, is 4 meters. This means that every unit of length on the model represents 40 units of length in the actual car.

The length of the model car is 10cm, we can calculate the actual length by multiplying the model length by the scale ratio:

10cm * 40 = 400cm

Since the question asks for the answer in meters, we need to convert centimeters to meters.

There are 100 centimeters in a meter, so we divide the length in centimeters by 100:

400cm / 100 = 4 meters

Therefore, the actual length of the car, based on the given scale of 1:40 and a model length of 10cm, is 4 meters.

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Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

Answer:

Step-by-step explanation:

For #1:

\(4 + 3x = 19\\3x = 15\\x = 5\)

For #2:

\(2x + 7 = 9\\2x = 2\\x = 1\)

For #3:

\(\frac{x}{3} - 10 = 6\\ \\\frac{x}{3} = 16\\\\x = 48\)

For #4:

\(5(4 + x) = -15\\20 + 5x = -15\\5x = -35\\x = -7\)

Answer:

Your answer to this question is 16

The ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

The correct option is (C)

A sphere is a three-dimensional object that is round in shape. The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis. This is the main difference between circle and sphere. A sphere does not have any edges or vertices, like other 3D shapes.

The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere. Examples of spheres are a ball, a globe, the planets, etc.

Let's take the 2 radii:

x where x is 5.

5x where 5x is 25.

Now, calculate the volume of the sphere in both cases.

We know,

Formula of volume of sphere :

V = 4/3πr²

Where r = 5.

V = 4/3πr²

V = 523.59878

Round off: 524 units²

Where r = 25.

V = 4/3πr²

V = 65449.84695

Rounding off: 65450 units²

Now, divide to find the ratio:

65450/524 = 124.90

Rounding off: 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

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a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas (b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below. (c) The final total area is 2x² - 10x - 15.

An area model is a way to visualize multiplication by breaking up the larger rectangle into smaller rectangles whose areas represent the products of the terms being multiplied. To determine the correct rows and columns for the area model, we count the number of terms in each factor and use that as a guide. For example, if one factor has 3 terms and the other has 4 terms, we would use a 3x⁴ area model, with 3 rows and 4 columns.

a) A 2*2 area model would not work to multiply (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) because this expression has 5 terms, and a 2*2 area model can only accommodate 4 smaller areas.

b) The area model for (x + 3)(2x⁴ − 3x³ − 2x² − 4x − 1) with the correct lengths and widths labeled has been attached below.

   2x⁴ − 3x³ − 2x² − 4x − 1

 +---------------------------------------

x  |   2x⁵    -3x⁴    -2x³    -4x²   -x

 |

3  |   6x⁴    -9x³    -6x²    -12x    -3

 +---------------------------------------

c) To find the total area of a rectangle with length (x + 8) and width (x − 5), we can use an area model with 2 rows and 2 columns. The length (x + 8) corresponds to one dimension of the rectangle, while the width (x − 5) corresponds to the other dimension. The area of each smaller rectangle in the model represents the product of one term from each factor.

    x + 8      x - 5

 +--------------------

x  |  x² + 8x   x² - 5x

 |

-5 | -5x + -40   -5x + 25

 +--------------------

The final total area can be found by adding up the areas of the smaller rectangles:

Total area = x² + 8x + x² - 5x - 5x - 40 + 25

= 2x² - 10x - 15

= 2x² - 10x - 15.

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The race result will not be disqualified due to an illegal wind.

In order to determine whether the wind velocity during the race was legal, we need to compare the wind velocity w to the legal wind speed limit of 5 km/hr. In this case, the wind velocity is given as 5ij km/h, which is purely vertical wind. The direction of the wind is not relevant in this case, since the race is run in the direction of the vector v, which is a purely horizontal direction. Since the wind velocity w is purely vertical and the race is run in a purely horizontal direction, the wind velocity w has no effect on the race result. Therefore, the race result will not be disqualified due to an illegal wind.

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The proababilities are: i) P(Aᶜ) = 0.6, ii) P(Bᶜ) = 0.4

iii) Probability that exactly one of the events A, B occurs = 0.7

Let A and B be any two disjoint events such that P(A) = 0.4 and P(A ∪ B) = 0.7. We need to find the following probabilities:

i) P(Aᶜ): This is the probability of the complement of event A, which represents the probability of not A occurring. Since A and B are disjoint, Aᶜ and B are mutually exclusive and their union covers the entire sample space.

Therefore, P(Aᶜ) = P(B) = 1 - P(A) = 1 - 0.4 = 0.6.

ii) P(Bᶜ): This is the probability of the complement of event B, which represents the probability of not B occurring. Since A and B are disjoint, Bᶜ and A are mutually exclusive and their union covers the entire sample space.

Therefore, P(Bᶜ) = P(A) = 0.4.

iii) Probability that exactly one of the events A, B occurs: This can be calculated by subtracting the probability of both events occurring (P(A ∩ B)) from the probability of their union (P(A ∪ B)).

Since A and B are disjoint, P(A ∩ B) = 0.

Therefore, the probability that exactly one of the events A, B occurs is P(A ∪ B) - P(A ∩ B) = P(A ∪ B) = 0.7.

To summarize:

i) P(Aᶜ) = 0.6

ii) P(Bᶜ) = 0.4

iii) Probability that exactly one of the events A, B occurs = 0.7

Note: The provided values of P(A), P(A ∪ B), and the disjoint nature of A and B are used to derive the above probabilities.

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Answer:

-1/12

Step-by-step explanation:

12x-3 = -4

12x= -1

x= -1/12

See below for the interpretation of the graph

From the graph, the initial values of x and y are 0

As x increases, y decreases.

This means that the first statement is

Slope is calculated as:

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

Using the graph values at the interval x =0 to x = 3, we have:

\(m = \frac{-3 - 0}{3 - 0}\)

m = -1

This means that the second statement is

From the graph, y = -3, when x = 3

As x increases at this point, y increases.

This means that the third statement is

Using the graph values at the interval x = 3 to x = 5, we have:

\(m = \frac{3 + 3}{5 - 3}\)

m = 3

This means that the fourth statement is

All y values at x = 0 to x = 4 are less than 0, while all y values at x = 4 to x = 8 are greater than 0

So, the last two statements are

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a) The fixed points of the function are (0, 0) and (1, 1).

b) The given function f(x, y) = (x², xy) is a strict contraction on the region { (x, y) : 0 ≤ x, y ≤ 1} equipped with the taxi metric for any c > 4.

c) (i) The Euclidean metric-equipped metric space [3, 17] [-5, 12] is compact.

(ii) A discrete metric equipped finite set X is compact.

(iii)The metric space l2 isn't compact.

d) The compact metric spaces are: (i) [3, 17] ×[-5, 12] CR2, equipped with the Euclidean metric(ii) A finite set X, equipped with the discrete metric.(iii) The metric space ll.

a) Finding fixed points of the function f(x,y) = (x²,xy)

The given function is f(x, y) = (x², xy). To find the fixed points of the function, we need to solve the following system of equations:x = x²y = xy => y = 1 or x = 0 or both

b) Values of c for which f is a strict contraction

We have the function f(x, y) = (x², xy) and the metric space R² equipped with the taxi metric: d((x, y), (u', y')) = |x – u'| + |y – y'|.A function f: (X, d) → (X, d) is a strict contraction on the metric space (X, d) if there exists some k ∈ [0, 1) such that d(f(x), f(y)) ≤ k d(x, y), for all x, y ∈ X.

c) Compactness of given metric spaces

(i) The metric space [3, 17] × [-5, 12] equipped with the Euclidean metric is compact.

(ii) A finite set X equipped with the discrete metric is compact.

(iii) The metric space l² is not compact.

(d) The discrete metric space is compact, because any open covering of the discrete metric space has a finite subcover. The other two metric spaces are not compact. In the Euclidean metric space, [3, 17] ×[-5, 12], the sequence (x_n) = (3 + 1/n, 0) has no convergent subsequence. In the metric space l∞, the sequence (x_n) = (1, 1/2, 1/3, ...) has no convergent subsequence.

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Answer:

\(\frac{x^2}{25}+\frac{y^2}{16}=1\)

Step-by-step explanation:

We know that the foci lies on the major axis, so it should lie on the x - axis. Additionally the center is the midpoint of the line joining the foci, at (0,0).

Now remember we have our foci at the point (0, ± 3). Our major axis length is 10, so if covers 5 units on either side of the x - axis. Therefore, c = 3, and a = 5. But remember that c is not part of an ellipse equation. Take a look at the formula below,

(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1

However we can solve for " b " instead, using c. Take a look at another major formula below,

c^2 = a^2 - b^2,

(3)^2 = (5)^2 - b^2,

9 = 25 - b^2,

- b^2 = 16,

b = 4 = - 4

Whether b = - 4 or b = 4, or equation will be the same.

(x - 0)^2 / (5)^2 + (y - 0)^2 / (4 or - 4)^2 = 1,

x^2 / 25 + y^2 / 16 = 1

Our solution is hence option number 1 : \(\frac{x^2}{25}+\frac{y^2}{16}=1\)

The statement "In a binomial experiment, the number of successes can never exceed the number of trials" is true. This is because Since there are only a fixed number of trials, the number of successes cannot exceed the number of trials.

A binomial experiment is defined as an experiment that satisfies the following four conditions: 1) the experiment consists of a fixed number of independent trials, 2) each trial has only two possible outcomes, which we call success and failure, 3) the probability of success is constant across all trials, and 4) the trials are independent of each other. Given these conditions, the number of successes in a binomial experiment is the count of the trials that resulted in a success outcome.  Therefore, the statement is true.

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Answer:

2:1

Step-by-step explanation:

2/3 of the class is girls, so that means 1/3 of the class is boys. Make the number of people in the class x. The equasion would be (2/3x)/(1/3x) This simplifies to 2:1

Answer:

Your answer would be 2:1

Step-by-step explanation:

1. 2/3 of the class is girls, so that means 1/3 of the class is boys.

2. Make the number of people in class x.

3. The equasion would be (2/3x) (1/3x)

4. 2:1

Answer:

25th Percentile: 1.5

50th Percentile: 3

75th Percentile: 4.5

Interquartile Range: 3

Answer:

you have it correct sir

Step-by-step explanation:

Answer:

z=55 degree

Step-by-step explanation:

because the sides are equal let say the numbers x

2x+70=180

2x=180-70

2x=110

x=55

branlist please

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

By introducing an additional association between an input value and multiple output values, such as assigning 4 to both 1 and 3, we can make the relation not represent a function.

In order for a relation to represent a function, each input value (x) must have a unique corresponding output value (y). If there is any input value that is associated with multiple output values, the relation does not represent a function.

Looking at the given table:

Input: 7 7 4 5

Output: 2 5 1 2

We can see that the input value of 7 is associated with two different output values, 2 and 5. This violates the requirement for a function because an input value should have only one corresponding output value.

To make the relation not represent a function, we need to choose a value that will introduce another instance where an input value is associated with multiple output values.

Let's choose an input value that already exists in the table, such as 4. Currently, the input value 4 is associated with an output value of 1. To make the relation not represent a function, we can associate 4 with another output value, let's say 3.

Updated relation:

Input: 7 7 4 4 5

Output: 2 5 1 3 2

Now, the input value of 4 is associated with two different output values, 1 and 3. Therefore, the relation does not represent a function.

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Answer: The value of x is 3.5

Explanation:

Equation:

y = 2x - 7

When the equation's Line intersects the x-axis, the value of y shall be always 0

Insert y = 0, to find x intercept

⇒ 0 = 2x - 7

⇒ 2x - 7 = 0

⇒ 2x = 7

⇒ x = 3.5

So coordinates: (x, y) → (3.5, 0)

Answer:

D is the answer because the dot is at -5 and -6. Like the graph shows

You can determine the type of conic section represented by an equation in general form by examining the coefficients of the equation.

The general form of a conic section equation is Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0, where A, B, C, D, E, and F are constants. The type of conic section can be determined by examining the signs and values of the coefficients A, B, and C. If A and C have the same sign, the conic section is either an ellipse or a circle. If A and C have opposite signs, the conic section is either a hyperbola or a pair of intersecting lines. If B is non-zero, the conic section is a parabola.

Once you have determined the type of conic section, you can use additional information to find the center, vertices, foci, and other properties of the curve.

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