Find the length of each Segment
8. ST

Answer:

300,000

Step-by-step explanation:

\(2000000 - 50000 = 150000\)

\(150000 \times 2 = 300000\)

Answer:

Arithmetic, 5

Step-by-step explanation:

Arithmetic sequences mean that the previous number has a common difference, where it may be added or subtracted by a common difference to get the next number in the sequence. In this situation, the common difference is 5, so you add 5 to 4 to get 9. You also do this to 9, add 5 and you get 14.
You can see the common difference by just subtracting the next term by the previous one. If the difference varied throughout the sequence, then it is not arithmetic, chances are it's geometric

We can see that the density of the lime is greater than that of water. Therefore, the lime will sink in water.

The mass of a substance per unit of space is its density. Density is most frequently represented by the symbol, though Latin character D may also be used. Density is mathematically described as mass divided by volume.

To determine if the lime will sink or float in water, we need to calculate its density and compare it to the density of water. The formula for the volume of a sphere is:

\($V = \frac{4}{3} \pi r^3$$\)

Substituting the given values, we get:

\($V = \frac{4}{3} \pi (2.5 \text{ cm})^3 \approx 65.45 \text{ cm}^3$$\)

The density of the lime is given as 90 grams, so we can calculate its density as:

\($\rho_{\text{lime}} = \frac{m}{V} = \frac{90 \text{ g}}{65.45 \text{ cm}^3} \approx 1.376 \text{ g/cm}^3$$\)

Comparing this to the density of water (1 g/cm3), we can see that the density of the lime is greater than that of water. Therefore, the lime will sink in water.

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The seventh term of the arithmetic sequence is -2.

To find the indicated term of an arithmetic sequence, we can use the formula:

an = a1 + (n - 1)d

where an is the nth term of the sequence, a1 is the first term, d is the common difference, and n is the position of the term we want to find.

In this case, we want to find the value of the seventh term (a7) of the arithmetic sequence with a first term (a1) of -8 and a common difference (d) of -2. Substituting these values into the formula, we get:

a7 = a1 + (n - 1)d

a7 = -8 + (7 - 1)(-2)

a7 = -8 + 6

a7 = -2

Therefore, the seventh term of the arithmetic sequence with a first term of -8 and a common difference of -2 is -2.

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Answer:

to find the sale price, you need to find what 34% of 82 is.

82 x 0.34 = 27.88

subtract that from the original price

82 - 27.88 = $54.12

you could also multiply 82 by (1 - .34) to get the same answer

82 x (.66) = $54.12

sale price is $54.12

hope this helps:)

Step-by-step explanation:

Answer:

\({ \tt{12 \: months = 328}} \\ { \tt{(12 \times 15) = \frac{(15 \times 328)}{1} }} \\ \\ = { \tt{4920}}\)

Answer:

2008=328

2024=?

Step-by-step explanation:

12×13 = 16×328/1

Answer:

{x = -2, y = -1

Step-by-step explanation:

Solve the following system:

{-3 y + 8 x = -13

5 y - 3 x = 1

Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{-3 y + 8 x = -13

5 y - 3 x = 1

Isolate terms with x to the left-hand side.

Add 3 y to both sides:

{8 x = 3 y - 13

5 y - 3 x = 1

Hint: | Solve for x.

Divide both sides by 8:

{x = (3 y)/8 - 13/8

5 y - 3 x = 1

Perform a substitution.

Substitute x = (3 y)/8 - 13/8 into the second equation:

{x = (3 y)/8 - 13/8

5 y - 3 ((3 y)/8 - 13/8) = 1

Expand the left-hand side of the equation 5 y - 3 ((3 y)/8 - 13/8) = 1.

5 y - 3 ((3 y)/8 - 13/8) = 5 y + (-(9 y)/8 + 39/8) = (31 y)/8 + 39/8:

{x = (3 y)/8 - 13/8

((31 y)/8 + 39/8) = 1

Choose an equation and a variable to solve for.

In the second equation, look to solve for y:

{x = (3 y)/8 - 13/8

(31 y)/8 + 39/8 = 1

Isolate terms with y to the left-hand side.

Subtract 39/8 from both sides:

{x = (3 y)/8 - 13/8

(31 y)/8 = -31/8

Solve for y.

Multiply both sides by 8/31:

{x = (3 y)/8 - 13/8

y = -1

Hint: | Perform a back substitution.

Substitute y = -1 into the first equation:

Answer: {x = -2, y = -1

The function f(x) = x² - 7 is an example of a function that is neither even nor odd, as it does not exhibit either type of symmetry.

To determine whether a function is even, odd, or neither, we need to examine its algebraic form and look for a particular type of symmetry.

Let's apply this concept to the given function, f(x) = x² - 7. To determine whether f(x) is even or odd, we need to evaluate f(-x) and compare it to f(x).

f(-x) = (-x)² - 7 // substitute -x for x

= x² - 7 // simplify

Comparing f(-x) to f(x), we can see that they are not equal:

f(-x) = x² - 7

f(x) = x² - 7

Since f(-x) is not equal to f(x), the function is not even. To determine whether it is odd, we need to evaluate f(-x) + f(x) and see if the result is zero.

f(-x) + f(x) = (x² - 7) + (x² - 7) // substitute -x for x in the second term

= 2x² - 14

Since f(-x) + f(x) is not equal to zero for all values of x, the function is not odd either.

Therefore, we can conclude that the given function, f(x) = x² - 7, is neither even nor odd.

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Answer:

#1

Use Pythagorean:

Apply to given and find c:

#2

#3

We have:

We know that:

Find b:

So

#4

Given

We know that:

Find b:

So

#5

Given

We know:

From the cot we have:

Hypotenuse is:

So,

Answer:

121

Step-by-step explanation:

EDG 21

Answer:

121

Step-by-step explanation:

Answer:

The magnitude is sqrt((-4)^2 + (-9)^2) = 9.85. The angle is atan(-9/-4) = 180 deg + 66 deg = 246 deg = -114 deg.

Step-by-step explanation:

hope it help

Answer:

9.85

Step-by-step explanation:

|v|= √9²+(-4)²

=√81+16

=√97

|v|= 9.85

Answer:

Step-by-step explanation:

p = m V

where p = 10.5 grams/cu. cm.

          m = 105 grams

plugin values into the equation:

10.5 grams/cu. cm. = 105 grams V

V = 10.5 grams/cu. cm.

         105 grams

V = 0.1 cu. cm.

The required a) assessed value = $21600,
                    b) tax rate = 0.0855,
                    c) real estate tax = $1836.

Cost price is that price for buyer which he pays to seller for an object or product.

a) assessed value = 72000 x 30/100
 =  $21600
b) tax rate = 85.5/1000
    =  0.0855
c) real estate tax = 0.855 x 21600
   =  $ 1836

Thus, the required values of a) assessed value, b) tax rate as a decimal, and c) real estate tax is  $21600, 0.085 and $1836 respectively.

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Answer:1.41

Step-by-step explanation: subtraction

To minimize the RMSE of the regression line for mRNA Expression (Affy) vs. mRNA Expression (RNAseg), predicted values and RMSE are need to find. Utilize an optimization algorithm to adjust the parameters (slope and y-intercept) of the regression line based on the dataset.

The general steps involved in minimizing RMSE for a regression line:

Define the regression line equation: Typically, a linear regression line is represented by the equation y = mx + b, where y is the dependent variable (mRNA Expression - Affy), x is the independent variable (mRNA Expression - RNAseg), m is the slope, and b is the y-intercept.

Calculate the predicted values: Use the regression line equation to calculate the predicted values of mRNA Expression (Affy) for each corresponding mRNA Expression (RNAseg) in your dataset.

Calculate the residuals: Subtract the predicted values from the actual values of mRNA Expression (Affy) to obtain the residuals.

Calculate the RMSE: Square each residual, calculate the mean of the squared residuals, and take the square root to obtain the RMSE.

Use an optimization algorithm: Utilize an optimization algorithm, such as the least squares method or gradient descent, to minimize the RMSE by adjusting the parameters (slope and y-intercept) of the regression line.

You would need to apply the optimization algorithm to your specific dataset using appropriate statistical software or programming languages like Python or R.  Assign the result to minimized_parameters.

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--The given question is incomplete, the complete question is given below "  Find the parameters that minimizes RMSE of the regression line for mRNA Expression (Affy) vs. mRNA Expression (RNAseg). Assign the result to minimized_parameters. explain the general procedure"--

By the age of 2, a child will typically have a vocabulary of around 200-300 words, while by the age of 6, a child will typically have a vocabulary of approximately 8,000-14,000 words.

It's important to note that these figures are general estimates and can vary from child to child based on various factors such as exposure to language, individual development, and cultural background.

During the first two years of life, children rapidly acquire language skills. They start with simple words like "mama" and "dada" and gradually expand their vocabulary to include nouns, verbs, adjectives, and other parts of speech. By the age of 2, most children can understand and produce a range of words, allowing them to communicate basic needs and express simple thoughts.

As children grow older, their vocabulary expands significantly. By the age of 6, they have been exposed to a broader range of words through interactions, reading, and education. They acquire new vocabulary through conversations, books, and educational activities. At this stage, children can understand and use a wide variety of words, allowing them to express themselves more fluently and engage in more complex conversations.

It's important to remember that these are approximate figures, and individual development can vary. Providing a supportive language-rich environment and engaging in activities that promote language development can positively impact a child's vocabulary growth.

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Answer:

For the first one:

A' (-8,6)

B' (-9,10)

C' (-3,9)

D' (-2,5)

Step-by-step explanation:

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

Tu salario es $3600

Step-by-step explanation:

Porque hoy tienes 1/4 del salario total. Al principio tienes 4 times esa cantidad. Entonces debes multiplicar $900 x 4 = 3600

Answer: y= -2/3x + 0

Explanation: y= mx +b

Y-intercept at (o,o), so b is 0

Let's pick 2 points (-3,2) ( 0,0), so the slope is -2/3

So the equation is y=-2/3x + 0

The lengths of the diagonals of the kite in centimeters are approximately 20.32sqrt(15) cm and 10.16sqrt(15) cm. Let d1 and d2 be the lengths of the diagonals of the kite. We know that d1 = 2d2 (since one diagonal is twice as long as the other). The formula for the area of a kite is:

A = (1/2) * d1 * d2

Substituting d1 = 2d2, we get:

240 = (1/2) * 2d2 * d2

240 = d2^2

d2 = sqrt(240) = 4sqrt(15)

Substituting d2 = 4sqrt(15) into d1 = 2d2, we get:

d1 = 2 * 4sqrt(15) = 8sqrt(15)

Therefore, the lengths of the diagonals of the kite are d1 = 8sqrt(15) inches and d2 = 4sqrt(15) inches.

To convert these measurements to centimeters, we can use the conversion factor 1 inch = 2.54 centimeters:

d1 = 8sqrt(15) inches * 2.54 cm/inch = 20.32sqrt(15) cm

d2 = 4sqrt(15) inches * 2.54 cm/inch = 10.16sqrt(15) cm

Therefore, the lengths of the diagonals of the kite in centimeters are approximately 20.32sqrt(15) cm and 10.16sqrt(15) cm.

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The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Answer: Do you want me to put it in slope intercept form or graph it? Ok in slope intercept form its "y = 2x +7" If you want to graph that then your coordinates are (0,7) and (1,9)

Step-by-step explanation: Hope this helps, be more spefic next time :)

Answer:

68.54

Step-by-step explanation:

w + (w – 12 ÷ 22 • 3) • 7

10 + (10 – 12 ÷ 22 • 3) • 7

Parentheses first

(10 – 12 ÷ 22 • 3)

(10 – 36 ÷ 22)

(10 – 1.636)

(8.364)

-------

10 + (8.364) • 7

10 + 58.54

68.54

The value of the expression will be equal to 66.54. The correct option is  B.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the expression is w + (w – 12 ÷ 2^ 2• 3) • 7 and the value of w is 10.

By substituting the value of w equal to 10 the value of the expression is,

E = w + (w – 12 ÷ 22 • 3) • 7

E = 10 + (10 – 12 ÷ 22 • 3) • 7

Solve the Parentheses first.

P = (10 – 12 ÷ 22 • 3)

P = (10 – 36 ÷ 22)

P = (10 – 1.636)

P = (8.364)

Solve further to get the final value.

E = 10 + (8.364) • 7

E = 10 + 56.54

E = 66.54.

Therefore, the value of the expression will be equal to 66.54.

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Based on a random sample of books, a 95% confidence interval for the mean number of pages per book in the library is (237, 293). This means that we can be 95% confident that the true population mean of the number of pages per book falls within this interval.

A confidence interval provides a range of values within which we estimate the true population parameter to lie. In this case, the parameter of interest is the population mean number of pages per book in the library.

The given confidence interval of (237, 293) suggests that, based on the sample data, we can be 95% confident that the true population mean falls within this range. This means that if we were to repeatedly take random samples from the library and calculate confidence intervals, approximately 95% of those intervals would contain the true population mean.

The width of the confidence interval, in this case, is determined by the sample size, variability of the data, and the desired level of confidence. The larger the sample size, the smaller the variability, or the higher the confidence level, the narrower the interval would be.

Therefore, we can interpret the given confidence interval as an estimate for the population mean number of pages per book in the library, with a 95% level of confidence.

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All five brothers have a total of $100 combined.

Let's assume Peter's total amount of money is P dollars. We are given that 25% of Peter's money is equal to $5,

so we can set up the equation:

0.25P = 5

To solve for P,

we divide both sides of the equation by 0.25:

P = 5 / 0.25 = 20

Now that we know Peter has $20,

we can find out how much money all five brothers have combined. Since Peter and his four brothers combined their money, the total amount would be:

Total = Peter's money + 4 brothers' money

Total = $20 + 4 x (Peter's money)

Total = $20 + 4 x $20

Total = $20 + $80

Total = $100

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