Drag the tiles to the correct boxes to complete the pairs. Match the pairs to coordinates that represent the same point.

(3, 5π/4) (-3, 3π/4) (-3, 5π/2)
(-3, 3π/2)

Answer:

50

Step-by-step explanation:

f(-4) = (-4)² - 7(-4) + 6

= 16 + 28 + 6

= 50

Answer:

y=x+8

Step-by-step explanation:

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=\(\sqrt{\frac{p(1-p)}{n} }\)

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

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Answer:

hope this helps please mark me as brainlist

Answer:

              The correct scale faction the first pentagon dilated by to create the second pentagon is 1.25.

Step-by-step explanation:

              Since the second pentagon is a dilation of the first pentagon, we can conclude these pentagons are similar, meaning the shape retained all of its previous angles, and all the corresponding sides are dilated by a common scale factor. Since we know the values of a pair of corresponding sides, we can use those to find the scale factor of dilation.

             The corresponding side of the original pentagon is 4 units, and the corresponding side of the dilated pentagon is 5 units. Since the first pentagon dilated to become the second, in order to solve the scale factor the pentagon dilated by, we'd have to divide the side given on the second pentagon by the corresponding side of the first, which will be 5 ÷ 4 = 1.25. Therefore, that will be the scale factor the pentagon dilated by.

Have a great day! Feel free to let me know if you have any more questions :)

Answer: 20.15

Step-by-step explanation:

First, make the percentage into an actual number. So divide 65 by 100 (because percent is based off of 100) which gives you 0.65. Then multiply 0.65 by 31 which gives you 20.15. Have a good day ;)

Answer:

Creo que eso es cierto también grandes habilidades españolas

Step-by-step explanation:

Answer:

45618.7

Step-by-step explanation:

\(f = p \times (1 + r \n) ^{nt} = f \: 43000\)

The probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute is 0.4582.

Given that the population mean, \(\mu\) = 90 wpm

The standard deviation of the population ,\(\sigma\) = 10

Sample size, n = 12

Sample mean, \(\bar x\) = 95

The reading rate of students follows the normal distribution.

Let z = \(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt n} }\)

        = \(\frac{95 - 90}{\frac{10}{\sqrt 12} }\)

        = 1.732

Probability that the mean reading exceeds 95 wpm = P(\(\bar x\) >95)

                                                                                       = P(z>1.732)

                                                                                       = 1- P(z<1.732)

                                                                                       = 0.4582

[The value 0.4582 found from the area under the normal curve using tables].

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This loan has an interest 4. 5% compounded quarterly, account balance after 10 years:

The initial loan amount is $20,000, and it has an interest rate of 4.5% compounded quarterly. You would like to know the account balance after 10 years.

To calculate the account balance, we will use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the loan
P = the initial loan amount ($20,000)

r = the annual interest rate (0.045)
n = the number of times the interest is compounded per year (4, since it is compounded quarterly)

t = the number of years (10)

Plugging in the values:

A = 20000(1 + 0.045/4)^(4*10)

A = 20000(1.01125)^40

A ≈ 30,708.94

The account balance after 10 years will be approximately $30,708.94.

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The value of X = 25.

Solution:

The two equations are

(i) the first condition is difference of x and y is 14

x - y = 14 ---------equation 1

(ii) the second condition of the given data is value of x is 3 times more than two times of y value.

x - 2y = 3 --------equation 2

From equation 2, we have to separate two variables x and y,

x = 3 + 2y  --------equation 3

We have to Substitute equation 3 in equation 1

3 + 2y - y = 14

3 + y = 14

y = 14 - 3

y = 11

Substitute y = 11 in equation 1........

x - 11 = 14

x = 14 + 11

x = 25

So, the value of x is 25 and y is 11.

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Answer:

Step-by-step explanation:

Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.

The difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...

The attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.

The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.

The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.

Since we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:

  2(x -y) -(x -2y) = 2(14) -(3)

  x = 25 . . . . . . . . . simplify

The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.

we know that

In the right triangle XYZ

\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)

In this problem,

Opposite side angle YZX= XY = 12.4cm

Adjacent side angle YZX= YZ = 15.1cm

substitute the values,

\(tan ( Y Z X) = \frac{12.4}{15.1}\)

\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)

Angle ( Y Z X) = 39.4°

So,  the approximate measure of angle YZX is 39.4°.

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The complete question is:

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?

A .34.8°

B .39.4°

C .50.6°

D. 55.2°

Greg made the smallest loss from the sale of the boat and Mike lost $350 more money than Greg. It is important to note that the money from the sale of the boat was shared in the same ratio as it was paid for, thereby ensuring that each person receives a fair share of the money.

Amount is a numerical value that is used to quantify or measure the extent, size, or magnitude of something. It is an abstract concept that can be expressed in many forms, such as numerical values, words, or symbols. Amounts can be expressed in a variety of terms, including money, weight, volume, distance, and time. Amount is related to the concept of quantity, but quantity is used to describe a greater range of values than amount.

a- Greg receives $1400, Nigel receives $1050 and Mike receives $1750 from the sale of the boat.

b Mike lost $350 more money than Greg from the sale of the boat.

c Greg made the smallest loss from the sale of the boat. He lost $400 from the sale of the boat. This can be calculated by subtracting the amount Greg paid for the boat ($1400) from the amount he received from the sale of the boat ($1400).

It is evident that the amount each of them received from the sale of the boat is in the same ratio as what they had paid for the boat. This is because they shared the money from the sale of the boat in the same ratio as they paid for the boat. This is beneficial for the three of them as it ensures that each person receives a fair share of the money from the sale of the boat.

In conclusion, Greg made the smallest loss from the sale of the boat and Mike lost $350 more money than Greg. It is important to note that the money from the sale of the boat was shared in the same ratio as it was paid for, thereby ensuring that each person receives a fair share of the money.

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Answer:

were is the pic I cant answer lik

The blanks in each statement about the line segment should be completed as shown below.

Since we know U is the midpoint, we can say TU=8x + 11 substituting in our values for each we get:

8x + 11 = 12x - 1

Solve for x

We now want to solve for x.

−4x+11=−1

−4x = -12

x= 3

Solve for TU, UV, and TV

This is just the first part of our question. Now we need to find TU, UV, and TV. Lets start with TU and UV.

TU=8x+11 We know that x=3 so let’s substitute that in.

TU=8(3)+11

TU= 35

We will do the same for UV. From our knowledge of midpoint, we know that TU should equal UV, however let’s do the math just to confirm.

UV=12x−1 We know that x=3 so let’s substitute that in.

UV=12(3)−1

UV= 35

Based on the segment addition postulate, we have:

TU+UV=TV

35+35=TV

TV= 70

Find the detailed calculations below;

TU = UV

8x + 11 = 12x - 1

8x + 11 - 11 = 12x - 1 - 11

8x = 12x - 12

8x - 12x = 12x - 12 - 12x

-4x = -12

x = 3

By using the substitution method to substitute the value of x into the expression for TU, we have:

TU = 8x + 11

TU = 8(3) + 11

TU = 24 + 11

TU = 35

By applying the transitive property of equality, we have:

UV = TU and TU = 15, then UV = 35

By applying the segment addition postulate, we have:

TV = TU + UV

TV = 35 + 35

TV = 70

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The volume of the pyramid is approximately 5.9 cm³.

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.

The area of a square is given by the formula:

Area = side length * side length

Substituting the side length, we have:

Area = 1.425 cm * 1.425 cm = 2.030625 cm²

Now, we can calculate the volume of the pyramid:

Volume = (1/3) * base area * height

= (1/3) * 2.030625 cm² * 8.6 cm

= 5.91834375 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.

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a. The equation for h is h = 100/x²

b. The function for the volume of the box V, in terms of x is:

v(x) = x²×h

Given, the prism has a square base and a total surface area of 100 cm².

A) let x = the side length of the base and

h = the height of the prism.

equation for h = ?

Volume = b × h

100 cm² = x² × h

h = 100/x²

B) a function for the volume of the box, V, in terms of x.

we know that x is the base and h is the height.

So, volume in terms of x :

v = b×h

v = x² × h

Hence we get the required answers.

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Step-by-step explanation:

What equation of axis of symmetry of a parabola if its x-intercepts are 5 and -5. x = 0 is the axis of symmetry. that is the equation of the axis of symmetry because the vertex occurs when x = 0. the line passing through the vertex is the axis of symmetry.

PLS GIVE BRAINLIEST!

Hopfully, I got this right I tried hard. HAVE A WONDERFUL TUESDAY!

Mathematical proofs are important because they provide a proper way to make the truth of mathematical statements. Just because of that, mathematical statements are important.

Ensuring Accuracy: Proofs help to conclude that mathematical statements are correct. When a logical sequence of steps, are followed, proofs provide assuring that a statement is true under the given assumptions.

Building Knowledge: They develop mathematical knowledge by extending our understanding of concepts, theorems, and relationships. They build on existing results to derive new insights.

Verification and Validation: Proofs allow others to verify the correctness of mathematical claims independently. This verification process is important for the integrity of mathematical research and education.

Preventing Errors: They help to prevent errors, as they require careful thinking and validation of each step. This helps to identify and correct mistakes.

Geometry relies on precise relationships between shapes, angles, and properties. If a conclusion in a proof is unjustified or inaccurate, it could lead to incorrect geometric theorems, misinterpretations of spatial relationships, and potentially flawed applications in various fields such as architecture, engineering, and physics.

Examples of proofs outside the world of geometry include:

Logical Proofs in Philosophy: In philosophy, logical proofs are used to establish the validity of arguments and philosophical theories. If an unjustified conclusion arises, it could lead to flawed philosophical reasoning and incorrect conclusions.

Scientific Proofs in Empirical Research: In scientific research, proofs or derivations are used to explain theories and hypotheses based on empirical evidence. If a conclusion lacks proper justification, it could lead to incorrect scientific explanations and misguided research directions.

Legal Proofs in Court: In legal contexts, lawyers present proofs to establish the innocence or guilt of a person. If an unjustified conclusion surfaces in a legal proof, it could lead to unjust verdicts, impacting the lives of individuals and society.

Economic Proofs in Policy Making: In economics, proofs and models are used to justify policy decisions. An unjustified conclusion in an economic proof could lead to poorly informed policy choices, affecting economies and societies.

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Answer:

nth term = 6n + 4 where n = no. of terms.

I hope it will be useful.

Answer:

\(a_{n}\) = 6n + 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = a₂ - a₁ = 16 - 10 = 6, then

\(a_{n}\) = 10 + 6(n - 1) = 10 + 6n - 6 = 6n + 4

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Answer:

75 cm²

Step-by-step explanation:

We can solve for the area of the trapezoid by plugging its dimensions into the formula:

\(A=\frac{1}2(b_1 + b_2) \cdot h\)

↓ plugging in the given dimensions

\(A = \frac{1}2(15 + 10) \cdot 6\)

↓ simplifying the addition (inside the parentheses)

\(A = \frac{1}2(25) \cdot 6\)

↓ simplifying the multiplication

\(A=\frac{25}2 \cdot 6\)

\(\boxed{A=75\text{ cm}^2}\)

answer:

To find the area of the trapezoid, we can use the formula:

Area = (base1 + base2) / 2 * height

In this case, the trapezoid has two bases and a height.

Given:

Base 1 = 4 cm

Base 2 = 10 cm

Height = 6 cm

Substituting these values into the formula, we have:

Area = (4 cm + 10 cm) / 2 * 6 cm

= 14 cm / 2 * 6 cm

= 7 cm * 6 cm

= 42 cm²

Therefore, the area of the trapezoid is 42 cm².

Since none of the provided answer choices match 42 cm², it seems that the options given do not include the correct answer.

i answered this like 6 months after it was posted lm.ao

The Critical-Point of a function is the  point where the derivative of the function is zero or not-defined .

The Critical points are used to determine the behavior of a function in the neighborhood of that point, which include the presence of local maxima or minima .

Let "f(x)" be a function and let "c" be a point in the domain of function "f" ; then , "c" will be a critical point if the following conditions hold ;

(i) f'(c) = 0  ;

(ii) f'(c) is undefined .

Geometrically, a critical point is a point on the graph of the function where the tangent line is horizontal or undefined .

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Step-by-step explanation:

Angles DE and AB are alternate angles, they have the same angle values :)

Here is the equation: (6x-12)+(7x+1)= 10x+25

Solve:

13x-11=10x+25

3x=36

x=12

Hope this helps :)

Answer:

the answer is going to be x=12

Answer:

For x-2y+3= 9 the answer is X - 2y+3=9 and for -x+3y = -4 the answer is x- 3y-4=0 and for 2x - 5y + 5z = 17 the answer is X=17/2+5/2y-5/2z,yer,zer

Step-by-step explanation:

Answer: Richter Scale

Step-by-step explanation:

Answer:

Richter scale

Step-by-step explanation:

Used for the magnitude of Earthquakes, hope this helps!