The coordinate grid shows triangle STU.

Triangle STU is rotated 270* about the origin to create triangle S'T'U'. Which rule describes this transformation?

(x, y) → (x, -y)


(x, y) → (y, -x)


(x, y) (x + 3, y + 5)


(x, y) → (-x, y)

Answer:

1.08X

X+0.08X

(1+.08)X

Step-by-step explanation:

The equation with infinitely many solutions is:

9x + 80 - 1x = 8*(x + 10)

An equation has infinitely many solutions when the dependence on x vanishes.

If you look at the third equation, we get:

9x + 80 - 1x = 8*(x + 10)

If we simplify the left side and expand the right side, we get:

8x + 80 = 8x + 80

So we have the exact same thing in both sides, this means that the equation is true for any value of x, so the equation has infinite solutions.

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Answer:

-34x+29

Step-by-step explanation:

\(7(5-x)-3(9x+2)=7.5-7x-3.9x-3.2=35-7x-27x-6\\=-34x+29\)

Answer:

7

Step-by-step explanation:

For the problem:

3 1

2

÷  

1

2

= ?

Convert any mixed numbers to fractions:

3 1

2

=  

7

2

Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:

7

2

÷  

1

2

=  

7

2

×  

2

1

Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:

7 × 2

2 × 1

=  

14

2

The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.

14

2

=  

14 ÷ 2

2 ÷ 2

= 7

The result is:

3 1

2

÷  

1

2

= 7

Answer:

2.5

Step-by-step explanation:

37.5 divided by 15 which is 2.5 because you'd do the inverse. you know the method for area is base times height and in this case you know base and total area so you'd divide.

Answer:

i believe it would be z = -7.5

Step-by-step explanation:

Answer:

-7.5

Step-by-step explanation:

Subtract 2.7z from 3.5z

0.8z= -6

divide each term by 0.8 -    0.8 divided by 0.8-         -6 divided by 0.8

Cancel the common factor of 0.8

divide -6 by 0.8

Z= -7.5

Answer:

400

Step-by-step explanation:

60 picture books are 15% of the total number of books.

Let the total number of books = x.

15% of x = 60

0.15x = 60

Divide both sides by 0.15

x = 60/0.15

x = 400

Answer: 400

Answer:

The car is driving at 68 miles per hour.

Step-by-step explanation:

Notice how every hour the car drives another 68 miles? That's how you know the speed of the car.

Also MPH = Distance/Time = 340/5 = 68

Answer:

well if i did the math correctly it is 68 mph

Step-by-step explanation:

Answer:

n= -3.5

Step-by-step explanation:

n/7 - 12 = 5n +5

+12            +12

n/7 = 5n+17

*7      *7

n = (5n+17)*7

n = 35n + 119

-35n    -35n

-34n = 119

/-34     /-34

n = -3.5

Therefore, the center of pressure on the triangular sail is approximately (1.2, 0.9).

The center of pressure on a boat's sail that occupies a region R in the plane is given by

x = ∬R xydA/∬R ydA` and y = ∬R x²ydA/∬R xydA`.

To calculate the center of pressure on a triangular sail with vertices (0,0),(3,2) and (0,7) we will use the following formulas:

x = ∬R xydA/∬R ydA

y = ∬R x²ydA/∬R xydA

Remember that in this case, the region R in the plane is the triangular sail with vertices (0,0), (3,2), and (0,7).

Hence, the equations for x-bar and y-bar are:x-bar = ∬R xydA/∬R ydA= ∫(x=0 to x=3) ∫(y=0 to y=(7x/3))

=  xy dy dx/ ∫(x=0 to x=3) ∫(y=0 to y=(7x/3)) y dy dx= 42/35= 1.2 units (approx)

And,y-bar = ∬R x²ydA/∬R xydA= ∫(x=0 to x=3) ∫(y=0 to y=(7x/3)) x²y dy dx/ ∫(x=0 to x=3) ∫(y=0 to y=(7x/3)) xy dy dx= 63/70= 0.9 units (approx)

Therefore, the center of pressure on the triangular sail is approximately (1.2, 0.9).

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The correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism.

A trisomic organism is one that has an extra copy of a chromosome in its genome. This means that it has three copies of a particular chromosome instead of the usual two, which can have significant implications for the organism's development and health.

In terms of algebraic notation, the chromosome number of a trisomic organism would be denoted as 2n+1, where "n" represents the normal diploid number of chromosomes for that organism. The "2n" represents the normal two sets of chromosomes, and the "+1" represents the extra chromosome.

Therefore, the correct answer to the given question is d. 2n+1. The other options, such as 1n, 3n, 2n-1, and 2n+2, do not accurately represent the chromosome number of a trisomic organism. It is important to note that trisomies can occur for any chromosome, not just the sex chromosomes, and can have varying effects depending on which chromosome is affected.

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Answer:

the answer is C 4.4 ft hope it helps

Step-by-step explanation:

Answer:

There is a crown next to the person that answered.

Step-by-step explanation:

Answer:

when two person will answer a question then the brainliest option will come and u can mark brainliest according to the person u wish

a) Any value outside of Q1 - 1.5(IQR) and Q3 + 1.5(IQR) can be considered a potential outlier.

b) This will give us a visual representation of the distribution of income among the full-time students.

c) It is important to analyze outliers carefully to ensure that they are not artificially skewing the results of our analysis.

(a) To check for outliers in the data set, we can use the box-and-whisker plot or the z-score method. However, since we do not have the exact data, we cannot use these methods. One way to identify potential outliers is to calculate the quartiles (Q1, Q2, and Q3) and the interquartile range (IQR).

(b) To draw a histogram of the data, we can use the frequency distribution table given in the question. The x-axis should represent the income ranges (e.g. $0-$100, $100-$200, etc.) and the y-axis should represent the frequency (i.e. the number of students who earned income within each range).

(c) If there are any outliers in the data set, we need to investigate them further to determine the reason for their unusual values. Possible reasons for outliers could be data entry errors, extreme values due to high- or low-income jobs, or unique situations such as unexpected windfalls or emergencies.

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Answer:

x = 11

y = 17

Step-by-step explanation:

We know that opposite angles (or vertical angles) are equal.

So

8x + 7 = 9x - 4

Subtract 8x from both sides of the equation

8x - 8x + 7 = 9x - 8x - 4

7 = x - 4

Add 4 to both sides of the equation

7 + 4 = x - 4 + 4

11 = x

Looking at the other 2 angles,

5y = 7y - 34

Subtract 7 y from both sides of the equation

5y - 7y = 7y - 7y - 34

-2y = -34

Divide both sides by -2

-2y/-2 = -34/-2

y = 17

Answer:

Step-by-step explanation:

Vertically opposite angles are equal.

8x + 7     = 9x - 4          {Add 4 to both sides}

8x + 7 + 4 = 9x

    8x  + 11  = 9x           {Subtract 8x from both sides}

            11 = 9x - 8x

x = 11

7y - 34 = 5y        {Add 34 to both sides}

        7y = 5y + 34          {Subtract 5y form both sides}

  7y - 5y = 34

         2y = 34                {Divide both sides by 2

            y = 34/2

y =17

Im guessing the equation you saying is (1000-322) / (72% of 21983)

When answering each of them, the equation was simplified to:

678 / 15827.76 = 0.04283613094????

Im guessing this is the wrong equation so just comment the right one and ill change it-

Answer:

Impossible

Step-by-step explanation:

It's not possible doing the Square root of a negative number

Answer:

9.42

Step-by-step explanation:

\(p = \pi \: r \\ \)

=3.14 × 3ft

=9.42 ft

Answer:

don't help they are doing a test.

Step-by-step explanation:

Answer:

8 and -10

Step-by-step explanation:

B. x = 8 and x = -10

Simplifying this expression, we have:

The inverse Laplace transform of F(s) = 10(s²+1) / [s² (s + 2)] is f(t) = 5t - 5sin(2t) + \(10e^(^-^2^t^).\)

To find the inverse Laplace transform of F(s), we first express F(s) in partial fraction form. The denominator s² (s + 2) can be factored as s² (s + 2) = s² (s + 2). Using partial fraction decomposition, we can express F(s) as:

F(s) = A/s + B/s² + C/(s + 2),

where A, B, and C are constants to be determined.

Next, we multiply both sides of the equation by the common denominator s² (s + 2) to eliminate the denominators. This gives us:

10(s²+1) = A(s + 2) + Bs(s + 2) + Cs².

Expanding and collecting like terms, we have:

10s² + 10 = As + 2A + Bs² + 2Bs + Cs².

Comparing coefficients of s², s, and the constant term on both sides of the equation, we can determine the values of A, B, and C. Solving the resulting system of equations, we find A = 5, B = -10, and C = 0.

Now, we have the expression for F(s) in terms of partial fractions as:

F(s) = 5/s - 10/s² - 10/(s + 2).

To find the inverse Laplace transform of F(s), we use the inverse Laplace transform table to obtain the corresponding time-domain functions for each term. The inverse Laplace transform of 5/s is 5, the inverse Laplace transform of -10/s² is -10t, and the inverse Laplace transform of -10/(s + 2) is \(10e^(^-^2^t^).\)

Finally, we add the inverse Laplace transforms of each term to obtain the solution f(t) = 5t - 5sin(2t) + \(10e^(^-^2^t^)\).

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Answer:

Y=7y=105

Step-by-step explanation:

Answer:

x = 7

y= -11

Step-by-step explanation:

The probability is 0.9772. The average age of professors at a certain university is normally distributed with an average of 45.0 years and a standard deviation of 6.0 years.

If 16 professors are chosen at random for a committee, find the probability that the average age of those professors is greater than 42.0 years. We are required to find the probability that the average age of the 16 professors is greater than 42 years. Let us consider the mean of sample means as mu_x = 45 years. The standard error of the mean can be calculated as;  standard error = standard deviation/sqrt(n)`where n = sample size.

Standard error = 6.0/sqrt(16) = 1.5. Therefore, z-score is calculated as; z-score = (sample mean - population mean)/standard error = (42-45)/1.5 = -2. Now, the probability of Z being less than -2 can be found from the z-table as P(Z < -2) = 0.0228. So, the probability that the average age of those professors is greater than 42 years is 1- P(Z < -2) = 1- 0.0228 = 0.9772.

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A sample of 2400 adults in Ohio would be needed to guarantee that the standard deviation of the proportion who support the increase in the state sales tax (p^) is no more than 0.01.

To determine the sample size needed to guarantee that the standard deviation of p^ is no more than 0.01, we need to use the formula:

n = (Zα/2)^2 * p(1-p) / (d^2)

where n is the sample size, Zα/2 is the critical value of the standard normal distribution for a confidence level of α/2, p is the proportion of adults in Ohio who support the increase (0.4 in this case), and d is the maximum margin of error (0.01 in this case).

Assuming a 95% confidence level (α = 0.05), the critical value of Zα/2 is 1.96. Substituting these values into the formula, we get:

n = (1.96)^2 * 0.4(1-0.4) / (0.01)^2
n = 1536.16

Therefore, we would need a sample size of at least 1537 adults in Ohio to guarantee that the standard deviation of p^ is no more than 0.01.
To calculate the required sample size for a given standard deviation of the sample proportion (p^), we can use the formula:

σ(p^) = √(pq/n)

where σ(p^) is the desired standard deviation, p is the proportion of support (0.40), q is the proportion of non-support (1-p, which is 0.60), and n is the sample size.

We want to guarantee that the standard deviation of p^ is no more than 0.01. Therefore, we set σ(p^) to be 0.01:

0.01 = √(0.40 * 0.60 / n)

Squaring both sides:

0.0001 = 0.24 / n

Now, solve for n:

n = 0.24 / 0.0001

n = 2400

So, a sample of 2400 adults in Ohio would be needed to guarantee that the standard deviation of the proportion who support the increase in the state sales tax (p^) is no more than 0.01.

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As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

An acute triangle is a triangle that has three acute angles, which are angles that measure less than 90 degrees. All three angles of an acute triangle must be acute, so they must measure less than 90 degrees. The measures of the three angles of an acute triangle can be any combination of angles that add up to less than 180 degrees.

Here are some examples of the measures of the three angles of an acute triangle:

45 degrees, 45 degrees, 90 degrees

30 degrees, 60 degrees, 90 degrees

35 degrees, 40 degrees, 105 degrees

60 degrees, 60 degrees, 60 degrees (this would be an acute equilateral triangle)

As long as the measures of the three angles of a triangle add up to less than 180 degrees, and none of the angles measures more than 90 degrees, the triangle will be acute.

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There are two main subtypes of quantitative data, which are discrete data and continuous data. Each subtype has different techniques for analysis.

1. Discrete data: This type of data represents whole numbers or counts that can only take specific values. Examples include the number of students in a class or the number of cars in a parking lot. Techniques used to analyze discrete data include:
  a. Frequency distribution: A summary of the number of times each value appears in the dataset.

 b. Measures of central tendency: Calculating the mean, median, and mode of the dataset to understand its central point.

 c. Measures of dispersion: Assessing the range, variance, and standard deviation to understand the spread of the data.

2. Continuous data: This type of data represents measurements that can take any value within a range, such as height, weight, or temperature. Techniques used to analyze continuous data include:

 a. Histogram: A graphical representation of the distribution of the data, using bars to represent the frequency of values within specific intervals.

  b. Probability density function: A mathematical function that describes the probability of a continuous random variable falling within a specific range.

  c. Regression analysis: A statistical method for analyzing the relationship between a dependent variable and one or more independent variables.

Both discrete and continuous data can also be analyzed using inferential statistics, such as hypothesis testing and confidence intervals, to make inferences about a population based on a sample of the data.

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Answer:

P(pink) = 0.225

Step-by-step explanation:

We should ignore the spinner picture because it is a trick!

We need to use the data provided in the table

We need to find the probabilty of getting pink out of all the colors:

\(\frac{pink}{purple\ +\ pink\ +\ yellow\ +\ blue} = \frac{9}{12\ +\ 6\ +\ 9\ +\ 13}\\ = \frac{9}{40} = 0.225\ \ (22.5\%)\)

We use the probability notation:

P(pink) = 0.225