If you were to describe a translation of triangle , what information would you need to include in your description?

Answer:

\(74.1\)$

Step-by-step explanation:

\( \frac{x}{57} = \frac{30}{100} \)

\((x)100 = (30)57\)

\((x)100 = 1710\)

\( \frac{(x)100}{100} = \frac{1710}{100} \)

\(x = \frac{1710}{100} \)

\(x = 17.1\)

\(57 + 17.1 = 74.1\)

\(74.1\)$

Answer:

Step 4

Step-by-step explanation:

took the quiz

Answer:

step 4 on edgen

Step-by-step explanation:

Answer: \(x=\frac{5 \pm \sqrt{10}}{3}\)

Step-by-step explanation:

\(3x^2 - 10x+5=0\\\)

Here, a=3, b=-10, and c=5.

\(x=\frac{-(-10) \pm \sqrt{(-10)^{2}-4(3)(5)}}{2(3)}\\\\x=\frac{10 \pm \sqrt{40}}{2(3)}\\\\\boxed{x=\frac{5 \pm \sqrt{10}}{3}}\)

Step-by-step explanation:

when choosing a sample everyone must have an equal chance of getting picked

Answer:

$336.19

Step-by-step explanation:

To work out how much you have left, take away the money you've withdrawn from what you originally had. That is:

\(603.15-90.89-106.03-70.04\\=336.19\)(USD)

The Laplace transform of y(t) is: \(Y(s) = (2 + d/ds[e^{(-5t)}]) / (s + 2)\)

What is laplace transform?

The Laplace transform is a mathematical operation that transforms a function of time into a function of complex frequency. It is named after Pierre-Simon Laplace, a French mathematician.

To find the Laplace transform of y(t) for the given differential equation, we can directly apply the Laplace transform to the equation and use the initial condition. The Laplace transform of the differential equation is given by:

\(L(dy/dt) + 2L(y) = L(t'e^{(5t)})\)

Using the properties of the Laplace transform, we have:

\(sY(s) - y(0) + 2Y(s) = L(t'e^{(5t)})\)

Substituting the initial condition y(0) = 2 and the Laplace transform of \(t'e^{(5t)} = -d/ds[e^{(-5t)}]\), we get:

\(sY(s) - 2 + 2Y(s) = -d/ds[e^{(-5t)}]\)

Rearranging the equation, we have:

\((s + 2)Y(s) = 2 + d/ds[e^{(-5t)}]\)

Taking the Laplace transform of both sides, we get:

\(Y(s) = (2 + d/ds[e^{(-5t)}]) / (s + 2)\)

Therefore, the Laplace transform of y(t) is:

\(Y(s) = (2 + d/ds[e^{(-5t)}]) / (s + 2)\)

Note: The expression is left in symbolic form without further simplification or expansion into partial fractions, as per the request.

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The words are on each page is 73.

Given:

A book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it.

The number of words in the book is congruent to 184, modulo 203.

136n mod 203 =184,

solve for n

Using CRT + MMI

n =203m  +  73,  where m =0, 1, 2, 3....

Therefore the words are on each page is 73.

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Answer:

203,549 !!!

Step-by-step explanation:

The correct answer is B. 36. To complete the square, you need to add the square of half of the coefficient of x. Anthony is solving the equation x² - 12x = 16 by completing the square.

To do this, let's first bring the constant term over to the right side of the equation to get x² - 12x + 16 = 32.

Next, we can rewrite the left side as the square of (x - 6) using the square of a binomial pattern:

\($(x - 6)^2 = x^2 - 12x + 36$\)

Thus, we can rewrite the equation as:

\($(x - 6)^2 = 32 + 36$\\$(x - 6)^2 = 68$\)

Taking the square root of both sides, we get:

\($$x - 6 = \pm\sqrt{68}$$$$x - 6 = \pm 2\sqrt{17}$$\)

Now, we can add 6 to both sides of the equation to isolate x and get the final answer. Adding 6 gives:

\($$x = 6 \pm 2\sqrt{17}$$\)

Therefore, the number that should be added to both sides of the equation to complete the square is 36.

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To be 94% confident that the true mean IQ is within 2 points of the sample mean, you must obtain a sample of at least 199 individuals.

To determine how large a sample must be obtained to be 94% confident that the true mean IQ is within 2 points of the sample mean, we will use the following terms: confidence level, margin of error, and standard deviation. We will also need the z-score corresponding to the desired confidence level.

Step 1: Identify the confidence level, margin of error, and standard deviation
Confidence level: 94%
Margin of error: 2 points
Standard deviation (σ): Since it's not provided, we will use a common value for IQ, which is 15 points.

Step 2: Find the z-score corresponding to the 94% confidence level
A 94% confidence level has a z-score of approximately 1.88 (you can find this value in a z-score table or using a calculator).

Step 3: Use the formula for sample size
n = (z * σ / E\()^2\)
n = (1.88 * 15 / 2\()^2\)
n = (28.2 / 2\()^2\)
n = \((14.1)^2\)
n ≈ 198.81

Step 4: Round appropriately
Since we can't have a fraction of a person in a sample, round up to the nearest whole number. In this case, the sample size should be 199.

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Answer:

8

Step-by-step explanation:

find the pattern -19+8=-11, -11+8=-3, -3+8=5

Answer:

$110.25

Step-by-step explanation:

Step one:

given

principal= $100

rate= 5%

time = 2 years

Required

The final amount

Step two:

The compound interest formula is

\(A=p(1+r)^t\)

substituting we have

\(A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\\)

The final amount is $110.25

Part a

\(f(g(x))=6\left(x-\frac{5}{6})+5=6x-5+5=6x\)

Part b

\(g(f(x))=g(6x+5)=(6x+5)-\frac{5}{6}=6x+\frac{25}{6}\)

Therefore, the functions are not inverses of each other since \((f(g(x)) \neq x\).

The difference in volume between the two pyramids is 12,371,740 cubic feet.

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

V = (1/3)Bh, where B is the area of the base and h is the height.

Using the dimensions given in the table, we can calculate the volumes of the two pyramids:

- Volume of Bent Pyramid = (1/3)(619 feet * 619 feet)(332 feet) = 26,384,053.33 cubic feet
- Volume of Red Pyramid = (1/3)(722 feet * 722 feet)(341 feet) = 38,755,793.33 cubic feet

To find the difference in volume between the two pyramids, we subtract the smaller volume from the larger volume:

38,755,793.33 - 26,384,053.33 = 12,371,740 cubic feet.

Rounding to the nearest cubic foot, the difference in volume between the two pyramids is 12,371,740 cubic feet.

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The best interpretation of these data is that there is a direct relationship between number of hours studied and the score on the test.

The correlation coefficient r measures the strength and direction of a linear relationship between two variables. In this case, the positive value of r = .59 indicates a direct (or positive) relationship between number of hours studied and the score on the test. This means that as the number of hours studied increases, the score on the test tends to increase as well.

Therefore, we can conclude that more study leads to a higher score on the test.

Option 1 and 2 are correct interpretations, while options 3 and 4 are incorrect. Option 3 implies a negative correlation coefficient, while option 4 implies an inverse relationship between the variables, which is not the case here.

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Answer:

a) Using a calculator, the exact value of 13822 x 62314 is 861,038,108.

b) To check if the answer in part a) makes sense using approximations to 1 significant figure, we round 13822 to the nearest 10,000 and 62314 to the nearest 60,000.

Approximation: 10,000 x 60,000 = 600,000,000

The approximation gives us 600 million, which is in the same order of magnitude as the exact answer of 861,038,108. Therefore, the answer in part a) appears to make sense based on the approximation.

Step-by-step explanation:

The hypothesis test is a one-tailed test, since we are testing for a specific direction (greater than 72%).

An assumption is said to as a hypothesis when it is supported by evidence. Any investigation that turns the research questions into predictions must start here. Variables, the population, and the relationships between the variables are among its constituent parts.

The hypotheses for the test are:

H0: p = 0.72 (null hypothesis)

Ha: p > 0.72 (alternative hypothesis)

The claim is that the proportion of college students who recycle is greater than 72%, which corresponds to the alternative hypothesis.

The hypothesis test is a one-tailed test, since we are testing for a specific direction (greater than 72%).

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Answer:

option D is correct answer

I hope my answer is helpful to you

please give me five star rating

Answer:

  100

Step-by-step explanation:

You want the number of distinct sequences of 4 letters from the word "problem" that have "l" as the first letter, and not "p" as the last letter.

There are 7 distinct letters in the word "problem". If the first letter of the "words" we're making must be "l", then the remaining three letters of the word are chosen from the remaining 6: "probem".

The number of permutations of 6 things taken 3 at a time is ...

  P(6, 3) = 6!/(6 -3)! = 6·5·4 = 120

That count includes the number that end in 'p'. When "l" is the first letter and "p" is the last letter, the middle two letters are chosen from the 5 "robem". There are 5!/(5-2)! = 5·4 = 20 ways to have words starting with "l" and ending in "p". We don't want to count those, so the number of letter sequences we can make is ...

  120 -20 = 100

100 distinct sequences of 4 letters can be made with first letter "l" and last letter not "p".

Answer:

Real numbers are all the rational numbers such as -7 and 4/3 and all irrational numbers. Real numbers are used mainly in counting and are used in measurement which is always present in real-world situations. These numbers help us to quantify things around.

Answer:

Adult Admission: 215 Tickets $1,290

Child Admission: 385 Tickets $3,870

Step-by-step explanation:

Child:

5,160÷4=1,290

1,290÷6=215

Adult:

500-215=385

5,160-1,290=3,870

Answer:

-2/45

Step-by-step explanation:

Hoped it helped!

512 MINUTES would it take to reach 50% consolidation. (C)

To find the time it would take to reach 50% consolidation, we can use the formula:

T50 = 0.197 * (H^2 / Cv)

Where T50 is the time to reach 50% consolidation, H is the thickness of the specimen, and Cv is the coefficient of consolidation.

Plugging in the given values, we get:

T50 = 0.197 * (3^2 / 5)

T50 = 0.197 * (9 / 5)

T50 = 0.3546

Since the question asks for the time in minutes, we need to convert from days to minutes. There are 1440 minutes in a day, so:

T50 = 0.3546 * 1440

T50 = 510.624

Rounding to the nearest whole number, we get 512 minutes (C).

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We are given that the quadratic function has the equation:

y = a(x + 6)(x - 2)

To find the value of a, we can use the fact that the function passes through the point (3, 36). This means that when x = 3, y = 36. Substituting these values into the equation, we get:

36 = a(3 + 6)(3 - 2)

36 = 9a

a = 4

Therefore, the value of a is 4.

9514 1404 393

Answer:

  140°

Step-by-step explanation:

The value of the exterior angle (x°) is the sum of the other two angles shown. These are known as "remote interior angles."

  x° = 64° +76°

  x° = 140°

_____

Additional comment

This relationship derives from the fact that the exterior angle and the adjacent interior angle have a sum of 180° (they are a linear pair). We also know that the adjacent interior angle and the other two given angles have a sum of 180°.

If we call the unknown interior angle U, these relations are ...

  64 + 76 + U = 180 . . . . sum of angles in a triangle

  x + U = 180 . . . . . . . . . . sum of angles in a linear pair

Comparing these two equations, we see that ...

  64 + 76 = x

The type of sampling used by the BLS (Bureau of Labor Statistics) for its National Compensation Survey, where employers are divided by size in the second stage of sampling, is known as stratified sampling.

Stratified sampling involves dividing the population into subgroups or strata based on certain characteristics or criteria. In this case, the BLS divides the employers into different size categories. Within each stratum, a sample is then randomly selected to represent that specific subgroup. This approach allows for a more precise estimation of employment costs within each size category. By using stratified sampling, the BLS ensures that the sample is representative of the different employer sizes and allows for more accurate and reliable estimates of employment costs at a national level.

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Answer:

419,820

Step-by-step explanation:

6997

× 60

-------

0000

+ 419,820

-----------------

419,820

Step 1: Multiply every number by 0

7 × 0 = 0

9 × 0 = 0

9 × 0 = 0

6 × 0 = 0

Step 2: Add a 0 and multiply the numbers by 6

0

6 × 7 = 42 (keep the 2 and move the "4" to the next number)

6 × 9 = 54 + 4 = 58 (keep the 8 and move the "5" to the next number)

6 × 9 = 54 + 5 = 59 (keep the 9 and move the "5" to the next number)

6 × 6 = 36 + 5 = 41 (keep 41 how it is)

419,820

I hope this helps!

The expression \((1/4) * (1 - 2/3)^2 + 1/3\) simplifies to 5/36.

To calculate the expression \((1/4) * (1 - 2/3)^2 + 1/3\), let's break it down step by step.

First, let's simplify the term within the parentheses: (\(1 - 2/3)^2.\)To do this, we'll find the square of the fraction (1 - 2/3) by multiplying it by itself:

(\(1 - 2/3)^2 = (1 - 2/3) * (1 - 2/3)\)

            = (1 * 1) + (1 * -2/3) + (-2/3 * 1) + (-2/3 * -2/3)

            = 1 - 2/3 - 2/3 + 4/9

            = 1 - 4/3 + 4/9

            = 9/9 - 12/9 + 4/9

            = 1/9 - 12/9 + 4/9

            = -7/9.

Now we can substitute this value back into the original expression:

(1/4) * (-7/9) + 1/3

= -7/36 + 1/3.

To add these fractions, we need a common denominator. The common denominator for 36 and 3 is 36. We can convert both fractions to have a denominator of 36:

-7/36 + 1/3

= -7/36 + (1/3) * (12/12)    [Multiplying the second fraction by 12/12, which equals 1]

= -7/36 + 12/36

= (-7 + 12)/36

= 5/36.

Therefore, the final answer is 5/36.

In summary, the expression\((1/4) * (1 - 2/3)^2 + 1/3 s\)implifies to 5/36.

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There are 18 deluxe rooms in the hotel.

To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.

The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:

Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)

= 100% - (55% + 30%)

= 100% - 85%

= 15%

So, 15% of the total rooms in the hotel are deluxe rooms.

To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:

Number of deluxe rooms = 15% of 120 rooms

= (15/100) * 120

= 0.15 * 120

= 18

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