A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
translation?
OT₁, 9(x, y)
OT-1,-9(x, y)
OT 9, 1(x, y)
O T9,-1(x, y)

The total amount lost by the company is the product of the number of tubes given away and the cost per tube, which is $1015

Given the Parameters :

The number of free tubes given away can be calculated thus :

Total Number of tubes given away = 140 tubes of paint

Total amount lost = Cost per tube × number given away

Therefore, the total amount lost during the giveaway is $1015

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Answer:

19

Step-by-step explanation:

it is 19

yes

wait no its 100000000000

I big brain UwU

Answer:

Step-by-step explanation:its 21

Answer:

Step-by-step explanation: 56

Answer:

130 is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the expression (2 + i)(3 - i)(1 + 2i)(1 - i)(3 + i), we are to take the product of all the complex values. We must note that i² = -1.

Rearranging the expression [(3 - i)(3 + i)] [(2 + i)(1 - i)](1 + 2i)

On expansion

(3 - i)(3 + i)

=  9+3i-3i-i²

= 9-(-1)

= 9+1

(3 - i)(3 + i) = 10

For the expression (2 + i)(1 - i), we have;

(2 + i)(1 - i)

= 2-2i+i-i²

= 2-i+1

= 3-i

Multiplying 3-i with the last expression (1 + 2i)

(2 + i)(1 - i)(1 + 2i)

= (3-i)(1+2i)

= 3+6i-i-2i²

= 3+5i-2(-1)

= 3+5i+2

= 5+5i

Finally,  [(3 - i)(3 + i)] [(2 + i)(1 - i)(1 + 2i)]

= 10(5+5i)

= 50+50i

Hence,  (3 - i)(3 + i)(2 + i)(1 - i)(1 + 2i) is equivalent to 50+50i

Answer:

32

Step-by-step explanation:

This is because you would want the feet and the radium kinda meeting up in a way and would need to make sure you can fill it in with th e drive way as it will be on a horizontal base so you would need X2 of the driveway to make it into a standing up horizontal base

Hope this helps

If this seems incorrect please comment with the answer that it should be and I shall change my answer thanks you :)

ANSWER

C PO SANA MAKATULONG PO YAN

The expression csc 180° is undefined because it corresponds to the cosecant function of 180 degrees. The cosecant function is defined as the reciprocal of the sine function, so csc θ = 1/sin θ.

In trigonometry, the sine function represents the ratio of the length of the side opposite an angle to the length of the hypotenuse in a right triangle. Since the angle in question is 180 degrees, it corresponds to a straight line on the x-axis, where the opposite side has a length of zero. Therefore, the sine of 180 degrees is also zero.

Now, applying the reciprocal operation, we have 1/0, which results in division by zero. Division by zero is undefined in mathematics because it violates the fundamental rules of arithmetic.

In terms of trigonometric functions, division by zero indicates that the function does not have a valid value at that particular angle. In the case of csc 180°, the cosecant function is undefined because it would require dividing by zero.

To summarize, the expression csc 180° is undefined because it involves dividing by zero, which is mathematically invalid and violates the fundamental rules of arithmetic.

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A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.

z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)

Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.

B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.

The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.

Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm

Now we can calculate the z-score for a mean length of 122 cm:

z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)

Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.

C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.

Probability = (0.9999)^3 ≈ 0.9997

Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.

Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.

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Answer: (b - 4)(b - 3); b = 4 and 3

Step-by-step explanation:

ima assume these are exponents since you didnt care to correctly write the equation.

What two numbers multiply to equal 12, but add to equal -7? That's -4 and -3

So the factored form of this trinomial is (b - 4)(b - 3) = 0. Make each of these expressions equal to 0 in order to get your answer.

Part a: Monthly percent rate = y/x

Part b:  APR = y/x × 12.

For the given question;

Average daily balance sheet of Suzanne's is  x dollars.

Finance charges = y

Part a: monthly percentage rate

Finance charge = Monthly percent rate × Average daily balance

Monthly percent rate = Finance charge/Average daily balance

Monthly percent rate = y/x

Part b: APR

Thus,

For 12 months.

APR = y/x × 12

Thus, the value of APR for the period of 12 months is APR = y/x × 12 .

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Answer:

you take 2 points on the graph

(3,300) and (6,200)

and then you do y2 -y1

                           x2-x1          

you plug in the values

200-300

6-3               =    -(100)/(3)

every 3 years the resale of a refrigerator decreases by 100 dollars.

its basically the rate that the price goes down for resale value of a refrigerator

Step-by-step explanation:

Let's take the points displayed on this graph:

(300, 3) (200, 6) and (100, 9).

Our first value in the points represents the amount of money for the resale value of a refrigerator, and the second value represents the number of years after the original purchase. So, as we can see, as the years increase, the value goes down $100 dollars every three years.

3 years after original purchase: $300

Increase years by three, value goes down by $100

6 years after original purchase: $200

The rate of change in this situation means that for every  resale three years after the original purchase, the value will decrease by $100.

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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We are given that fifteen boys and fifteen girls entered a drawing for four free movie tickets. We want to find the probability that all four tickets were won by girls.

To solve this problem, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

The total number of outcomes represents all the possible ways to choose four winners from the thirty participants (boys and girls). We can calculate this using the combination formula:

C(30, 4) = 30! / (4!(30 - 4)!) = 27,405

Here, C(n, r) represents the combination of choosing r objects from a set of n objects.

Favorable outcomes:

We want to determine the number of ways to select all four winners from the group of fifteen girls. This can also be calculated using the combination formula:

C(15, 4) = 15! / (4!(15 - 4)!) = 1365

Probability calculation:

The probability is the ratio of the favorable outcomes to the total number of outcomes. So, we divide the number of favorable outcomes by the total number of outcomes:

P(Girls winning all four tickets) = 1365 / 27,405

Simplifying the fraction, we find:

P(Girls winning all four tickets) = 1 / 20

Therefore, the probability that all four tickets were won by girls is 1/20.

In summary, out of all the possible combinations of selecting four winners from the thirty participants, only one out of every twenty combinations will result in all four tickets being won by girls.

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Answer:

is this correct

I think is will help you

The following C code generates an arithmetic sequence with N terms using the given general term expression and recurrence relation:

#include <stdio.h>

int main() {

   int N;

   printf("Enter the number of terms: ");

   scanf("%d", &N);

   int sequence[N];

   sequence[0] = 1;

   for (int i = 1; i < N; i++) {

       sequence[i] = sequence[i - 1] + 2;

   }

   printf("The general term: ");

   for (int i = 0; i < N; i++) {

       printf("%d ", sequence[i]);

   }

   printf("\nThe recurrence relation: ");

   for (int i = 0; i < N; i++) {

       printf("%d ", sequence[i]);

   }

   return 0;

}

The program starts by including the necessary header file stdio.h for input and output operations.

The main() function is defined, which is the entry point of the program.

A variable N is declared to store the number of terms inputted by the user.

The user is prompted to enter the number of terms using the printf() function and the input is read using the scanf() function.

An array sequence of size N is declared to store the arithmetic sequence.

The first term of the sequence is assigned as 1 (sequence[0] = 1).

A loop is started from i = 1 to N - 1 to calculate the remaining terms of the sequence.

Inside the loop, each term is calculated using the recurrence relation: sequence[i] = sequence[i - 1] + 2.

After calculating the sequence, the program prints the general term by looping through the sequence array and displaying each term using the printf() function.

Similarly, the program prints the recurrence relation by looping through the sequence array and displaying each term.

Finally, the return 0 statement indicates successful program execution and the program terminates.

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Answer:

D. 5√3

Step-by-step explanation:

tan 30° = x/15

or, 1/√3=x/15

or, x= 15/√3 = 5√3

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exacy value

tan30° = \(\frac{1}{\sqrt{3} }\) = \(\frac{\sqrt{3} }{3}\) , then

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{15}\) = \(\frac{\sqrt{3} }{3}\) ( cross- multiply )

3x = 15\(\sqrt{3}\) ( divide both sides by 3 )

x = 5\(\sqrt{3}\) → D

B, median = mean. The explanation is that the graph shows a fairly symmetrical distribution of temperatures, with the highest point (mode) being around 35 degrees and the middle point (median) also being around 35 degrees.

Therefore, the median and mean would be approximately the same. The conclusion is that the temperatures in Elmira, New York, were relatively consistent during this 5-day period in January.

first need to determine the mean, median, and mode of the high temperatures for the 5-day period. Unfortunately, the graph you mentioned is not available for me to see. However, I can help you analyze the data once you provide the high temperatures for each of the 5 days.

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Answer:

y = 4x + ( - 3 )

Step-by-step explanation:

y = 4x + 1

( 1 , 1 ) and m = 4

y - 1 = 4( x - 1 )

y = 4x - 3

Answer:

Step-by-step explanation:

when you divide you get 43. something but you can't have half of a chair so you should get another one making it 44 chairs

if wrong i'm sorry.

Answer:

\(\frac{9b^{6} }{a^{4} }\)

Step-by-step explanation:

(-3a-²b³)²

-3^2 a^-4 b^6

\(\frac{9b^{6} }{a^{4} }\)

I hope im right!!

The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.

To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:

% Replace '12345678' with your actual student number

studentNumber = '12345678';

% Extract the first 4 digits as the first number

firstNumber = str2double(studentNumber(1:4));

% Extract the last 3 digits as the second number

secondNumber = str2double(studentNumber(end-2:end));

% Find the GCD using the Euclidean algorithm

gcdValue = gcd(firstNumber, secondNumber);

% Display the result

disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);

Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.

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Answer:-55

Step-by-step explanation:

-11 times 5= -55

Answer:

x = -14, 4

Step-by-step explanation:

9 = |x + 5|

~Split into 2 equations

x + 5 = -9 and x + 5 = 9

~Solve for x in both

x + 5 = -9

x = -14

x + 5 = 9

x = 4

Best of Luck!

Answer:

X=4,-14

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin(t) = -3√10/10

cos(t) = √10/10

tan(t) = sin(t)/cos(t) = -3

csc(t) = 1/sin(t) = -√10/3

sec(t) = 1/cos(t) = √10

cot(t) = 1/tan(t) = -⅓

The farmer took 8 days to cultivate one and a half hectares (15000 m^2)

so now divide 15000/8 which equals to 1875. so now we know that it takes him one day to cultivate 1875 m^2 which is 0.1875 hectares.

20 days = 0.1875 x 20

             = 3.7500 hectares

hope it helped!

D) 5/6 as 5/6 = 0.833333333333333 and the three will keep repeating

Answer:

D.

Step-by-step explanation:

You meant which one is a repeating decimal.

Okay to find out you would have to divide each.

4 divided by 5 = 0.8

1 divided by 2 = 0.5

3 divided by 4 = 0.75

5 divided by 6 = 0.833333333...

See how the three keeps on repeating? That makes it a repeating decimal.

Hope this helps!!

Answer:

7

Step-by-step explanation:

Answer:

It equals 7 :)

Step-by-step explanation:

You  have to subtract 10 and three that is how you get three

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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Answer:

b = -7

Step-by-step explanation:

18 = -5b-17

Add 17 to each side

18+17 = -5b-17+17

35 = -5b

Divide each side by -5

35/-5 = -5b/-5

-7 = b