please help me out, i can not understand this, i will give a brainliest out to whoever can help me

Answer:

The vertices are A, B, and C. Angle C measures 105°.

Step-by-step explanation:

vertices are the corners of a shape. All the angles of a triangle add up to 180°. congruent just means that two shapes are the same.

The function f(x)=√x with f:R→R is injective and surjective but not bijective.

Injective (or one-to-one): f(x) is injective, which means that if f(x1) = f(x2), then x1 = x2. In other words, if the square root of x1 is equal to the square root of x2, then x1 and x2 are equal.

Surjective (or onto): f(x) is surjective, which means that for every y in the codomain (R), there exists an x in the domain (R) such that f(x) = y. In other words, the square root of any real number can always be expressed as a real number.

Bijective: f(x) is not bijective. The square root function is not bijective because it is not defined for negative values of x.

Function: A function f is a function if for every x in the domain of f, there is exactly one y in the codomain of f such that f(x) = y. In other words, each x in the domain is mapped to exactly one y in the codomain.

In the case of f(x) = √x, it is a function. For every x in the domain of f, which is [0,∞), there is exactly one y in the codomain of f, which is [0,∞), such that f(x) = y.

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Answer:

v = 18

Step-by-step explanation:

Given

79 = 61 + v ( subtract 61 from both sides )

18 = v

The revised MeanMedian2 class allows the user to input up to 20 values, with the option to stop entering numbers by inputting 9999. It calculates both the mean and median of the provided values.

To implement this functionality, the MeanMedian2 class can prompt the user to enter values in a loop until either 20 values are entered or the user inputs 9999. The entered values can be stored in a list. Once the user is done entering values, the class can compute the mean and median. For the mean, it can sum all the values in the list and divide by the number of values. For the median, it needs to handle two scenarios: an odd number of values and an even number of values. If the list has an odd number of values, the median can be obtained by simply finding the middle value. However, if there is an even number of values, the two middle values can be averaged to get the median.

With this revised class, users can easily input any number of values, up to 20, and get accurate mean and median calculations. Additionally, the option to quit by entering 9999 provides a convenient way for users to stop entering values whenever they want. This updated implementation improves the flexibility and usability of the MeanMedian2 class.

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According to the solution we have come to find that, The math sentence that can be used to determine if this triangle is a right triangle is: 20² + 21² = 29²

A triangle is a closed two-dimensional geometric shape with three straight sides and three angles.

The math sentence that can be used to determine if this triangle is a right triangle is:

20² + 21² = 29²

This is the Pythagorean theorem, which states that for any right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the longest side (the hypotenuse).

In this case, 20, 21, and 29 represent the lengths of the sides of the triangle, and if the equation holds true, then the triangle is a right triangle.

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The age of twenty other members is 48 years.

Given that the average age of the members of a country club is 54 years old and if there are ten 36-year-olds, fifty 60-year-olds, and twenty other members all of the same age.

The average is defined as the sum of a set of values divided by n, where n is the total set of values. A mean is another name for an average.

The average age is given by=(Sum of ages)/(Number of members (n))

Let x be the age of other twenty members.

Given A=54  years and n=10+50+20=80

So, now, we will substitute the values in the formula, we get

\(\begin{aligned}54&=\frac{10\times 36+50\times 60+20\times x}{10+50+20}\\ 54&=\frac{360+3000+20x}{80}\\ 4320&=3360+20x\end\)

Further, subtract 3360 from both sides, we get

4320-3360=3360+20x-3360

960=20x

Furthermore, we will divide both sides with 20, we get

960/20=20x/20

48=x

Hence, the age of the twenty other members when average age of the members of a country club is 54 years old is 48 years.

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Answer:

don't know if this is the right way butttt i'm going to give it a shot

Step-by-step explanation:

Cost: I'm guessing this is for the rent for the shoes or is the total cost?

Bowler World: 5 + 1.1g = c | c + 1.1g = t {(this is the other option) probs not correct}

Lucky Spares: 3 + 1.5g = c | c + 1.5g = t

K so personally you should choose option 1 (for example: 5 + 1.1g = c), i have no idea how the proper format is supposed to be

either i hope this helps :)

Answer:

x^2-9x-8

Step-by-step explanation:

=x^2-(3)^2-(2)^3

=2(x-3-4)

=2(x-(-1))

=2(x+1)#

Answer:

After the reflection over the line y=x, the image points are:

Step-by-step explanation:

We know that when a point is reflected cross the line y = x, the x-coordinate, and y-coordinate change places.

i.e.

Given

so after the points reflected cross the line y = x

P(x, y)                 →          P'(y, x)

A(-2, -1)               →          A'(-1, -2)    

B(-1, 3)                →          B'(3, -1)  

C(-3, 2)               →          C'(2, -3)

Therefore, after the reflection over the line y=x, the image points are:

Answer:

We are given that the probability of landing on 2 is twice the probability of landing on 3, and the relative frequencies of landing on 1 and 4 are 0.1 and 0.3 respectively.

Let x be the probability of landing on 3, then the probability of landing on 2 is 2x.

The sum of probabilities of all possible outcomes is 1, so we can write:

0.1 + 2x + x + 0.3 = 1

Simplifying this equation, we get:

3x + 0.4 = 1

3x = 0.6

x = 0.2

Therefore, the probability of landing on 3 is 0.2 and the probability of landing on 2 is 2x = 0.4.

If the spinner is spun 50 times, we can expect it to land on 2 approximately 0.4 * 50 = 20 times

Step-by-step explanation:

If any doubt Ask Me

The center of the circle lies on the x-axis

The radius of the circle is 3 units.

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The standard equation of a circle is expressed as:

\(x^2 + y^2 + 2gx + 2fy + C = 0\)

Where

Given a circle whose equation is

Let's get the center of the circle

2gx = -2x

2g = -2

We have that;

g = -1

Similarly, 2fy = 0

given that

f = 0

Centre = (-(-1), 0) = (1, 0)

This explains that the center of the circle lies on the x-axis

We move further to the radius

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9

= 3 units

The radius of the circle is 3 units.

For the circle x² + y² = 9, the radius is expressed as:

r² = 9

r = 3 units

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

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The process is wide sense stationary. The process \(X(t)\) has finite second-order statistics because its mean is finite and its autocorrelation function (as determined in part c, if available) would also be finite. the mean of the process \(X(t)\) is \(\frac{1}{2}\).

a) The given random process \(X(t)\) is **continuous**. This is because it is described by a continuous random variable \(A\) that is uniformly distributed from 0 to 1.

b) The given random process \(X(t)\) is **non-deterministic**. This is because it is determined by the random variable \(A\), which introduces randomness and variability into the process.

c) To find the autocorrelation function of the process, we need more information about the relationship between different instances of the random variable \(A\) at different time points. Without that information, we cannot determine the autocorrelation function.

d) Since the process is defined as \(X(t) = A\) where \(A\) is uniformly distributed from 0 to 1, the mean of the process can be calculated by taking the mean of the random variable \(A\). In this case, the mean of \(A\) is \(\frac{1}{2}\). Therefore, the mean of the process \(X(t)\) is \(\frac{1}{2}\).

e) The given process is **wide sense stationary**. To be considered wide sense stationary, a process must satisfy two conditions: time-invariance and finite second-order statistics.

- Time-invariance: The given process \(X(t) = A\) is time-invariant because the statistical properties of \(X(t)\) are not dependent on the specific time at which it is observed. The distribution of \(A\) remains the same regardless of the time.

- Finite second-order statistics: The process \(X(t)\) has finite second-order statistics because its mean is finite (as determined in part d), and its autocorrelation function (as determined in part c, if available) would also be finite.

Therefore, the process is wide sense stationary.

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There were 13 small boxes shipped and 6 large boxes shipped.

Let's denote the number of small boxes as 's' and the number of large boxes as 'l'.

According to the given information, the volume of each small box is 6 cubic feet, so the total volume of all small boxes can be calculated as 6s cubic feet.

Similarly, the volume of each large box is 13 cubic feet, so the total volume of all large boxes can be calculated as 13l cubic feet.

We are also given that the combined volume of all the boxes is 156 cubic feet, so we can write the equation:

6s + 13l = 156 ...(1)

Additionally, we know that a total of 19 boxes were shipped, so we can write another equation:

s + l = 19 ...(2)

Now, we have a system of equations (equation 1 and equation 2) that we can solve simultaneously to find the values of 's' and 'l'.

To solve this system of equations, we can use substitution or elimination method. Let's use the substitution method here.

From equation 2, we can rewrite it as s = 19 - l.

Substituting this value of s into equation 1, we get:

6(19 - l) + 13l = 156

Simplifying the equation:

114 - 6l + 13l = 156

Combining like terms:

7l = 42

Dividing both sides by 7:

l = 6

Now, we can substitute this value of l back into equation 2 to find the value of s:

s + 6 = 19

s = 13

The number of small boxes shipped is 13, and the number of large boxes shipped is 6.

There were 13 small boxes shipped and 6 large boxes shipped.

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The first series \($\sum_{n=1}^{\infty} \frac{2(-1)^n}{e^n e^{-n}}$\) diverges and the second series \($\sum_{n=1}^\infty (-1)^n \frac{1}{{sech}(n)}$\) n = 1 converges.

For the first series, we can use the alternating series test, which states that if a series has alternating signs and the terms decrease in absolute value, then the series converges.

In this case, we have alternating signs and the terms tend to zero, but they do not decrease in absolute value. Therefore, the series diverges.

For the second series, we can use the alternating series test, which states that if a series has alternating signs and the terms decrease in absolute value, then the series converges.

In this case, we have alternating signs and the terms decrease in absolute value because sech(n) is always less than or equal to 1. Therefore, the series converges.

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Answer:

≈ 22 cm

Step-by-step explanation:

the circumference (C) of a circle ( the perimeter ) is calculated as

C = 2πr ( r is the radius )

   = 2π × 7 = 14π

since divided into 2 equal parts then

\(\frac{1}{2}\) C = 14π ÷ 2 = 7π ≈ 22 cm ( to the nearest whole number )

Answer:

(-8 , 27)

Step-by-step explanation:

\((-6,23)= (x ,y )\\\\(-4 ,19)=(x_1,y_1)\\\\x = \frac{x_1+x_2}{2}\\ \\-6 = \frac{-4+x_2}{2}\\ \\-12 =-4+x_2\\\\-12+4 =x_2\\-8=x_2\\\\y = \frac{y_1+y_2}{2}\\ \\23 = \frac{19+y_2}{2} \\\\46 =19+y_2\\\\46-19=y_2\\27=y_2\)

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

2 weeks

Step-by-step explanation:

The measure of angle QS based on the information given when Point R is between points Q and S is 11x + 35.

From the information given,

PR = 3x + 7

QR = 8x + 28

The value of QS will be:

PR + QR

= (3x + 7) + (8x + 28)

= 11x + 35

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Answer: 7/26

Step-by-step explanation:

7 red and 7 blue = 14 total

7/14 or 1/2 chance of getting red first

7/13 chance of getting red the second time

7/13*1/2 = 7/26

7/26 chance

sorry if it’s wrong but I hope it helps

The requried, to find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
To find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram. Once we have done that, we can draw a line from B to C, and then compare the direction of AB to the direction of BC. The angle between these two lines will be the angle by which AB turns clockwise to coincide with BC.

Similarly, to find the angle by which AB turns counterclockwise to coincide with BE, we need to identify points A, B, C, and E on a diagram. Once we have done that, we can draw a line from B to E, and then compare the direction of AB to the direction of BE. The angle between these two lines will be the angle by which AB turns counterclockwise to coincide with BE.

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Answer:

x = 21

Step-by-step explanation:

We can first notice that this is a right triangle. Meaning that we can apply the pythagorean theorem when finding the missing side.

Pythagorean Theorem : a^2+b^2=c^2

But, we already have the hypotenuse, so we have to solve for the side being "b". a and b being the sides next to the right angle. And c being the hypotenuse. Plug in the values.

20^2 + b^2 = 29^2

400 + b^2 = 841

Subtract 400 from both sides to get b^2 alone

-400            -400

b^2 = 441

Square root of each side to get b by itself

b = 21

This means the missing side is 21. Also meaning 21 is x.

x = 21

Answer:

greater than 1

Step-by-step explanation:

the pre- image is LMNP

the image is L'M'N'P'

Size wise if :

pre-image = image → scale factor is 1 ( stayed the same)

pre-image < image → scale factor greater than 1 ( dilated/become bigger)

pre-image > image → scale factor is less than 1 (shrunk/ become smaller)

In our case:

pre- image LMNP < image L'M'N'P'→ scale factor greater than 1

Honestly this gave me chills, ty for doing this <333333

sorry not interested,

The amount of substance A left after t years is \(f(t)=100{(\frac{1}{2})}^{t/19}} \textrm{ mg}\). The amount of substance B left after t years is \(g(t) = 100 . (\frac{7}{10})^{t/10}\) gm.

The half life of a radioactive or unstable substance is the amount of time it takes for the substance to decay to one-half of its initial amount.

The decay of radioactive substances follows the exponential decay law. let \(A_0\) be the initial amount of the substance and \(A(t)\) be the amount of substance left at time t, then according to this law \(A(t)=A_0e^{-kt}\), for some positive constant k.  This also implies

\(\frac{A(t)}{A_0} = e^{-kt} = (e^{-kT})^{(t/T)} = (\frac{A(T)}{A_0})^{t/T}\). So

\(\frac{A(t)}{A_0} = (\frac{A(T)}{A_0})^{t/T}\). In particular for T = \(T_{1/2}\)  we have \(A(t) = A_0{(\frac{1}{2})}^{t/T_{1/2}}\).

In our question, for Substance A: \(T_{1/2}\) = 19 years.  and \(A_0\) = 100gm. So \(A(t)=100{(\frac{1}{2})}^{t/19}\). So \(f(t)=100{(\frac{1}{2})}^{t/19}\).

for substance B: \(B_0\) = 100gm, and \(\frac{B(10)}{B_0} = \frac{7}{10}\) . if we take T = 10 in the above formulas, we get \(B(t) = 100{(\frac{7}{10})}^{t/10}\). So \(g(t) = 100{(\frac{7}{10})}^{t/10}\)

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Answer:

-3a + 14c

Step-by-step explanation:

4a+7(2c-a)

4a + 14c - 7a

-3a + 14c

Answer:

-3a + 14c

Step-by-step explanation:

4a + 7(2c - a)

4a + 14c - 7a            <- Distribute

-3a + 14c                  <- Add like terms

Step-by-step explanation:

It is so simple Hope u understand

Answer:

Step-by-step explanation:

Sum = -5

Product = 2*(-3) = -6

Factors = -6 , 1   {-6 + 1 = -5  & -6 *1 = -6}

2m² - 5m -3 = 0

2m² - 6m + m -3 = 0

2m(m - 3) + (m -3) = 0

(m -3)(2m + 1) = 0

m - 3 =  0    or 2m + 1 = 0

    m = 3      or 2m = -1

                          m = -1/2

Ans: m = 3 , (-1/2)