4x+6y=40
-2x+y=4
using elimination

Answer:

\(p = 7 \\ p \times 9 \\ \\ 7 \times 9 \\ \\ = 63\)

if P= 7

then,

p×9 = 7×9

=63.

The total number of ways to distribute all the fruits to the 30 children, ensuring each child who prefers apples gets at least 2 apples and each child who prefers oranges gets at least 2 oranges, is given by the product of C(29, 9) and C(59, 19).

To find the total number of ways, we can consider the distribution of apples and oranges separately. For the children who prefer apples, we need to distribute 20 apples among 10 children, with each child receiving at least 2 apples. This can be calculated using the stars and bars combinatorial technique. Similarly, for the children who prefer oranges, we need to distribute 40 oranges among 20 children, with each child receiving at least 2 oranges.

The number of ways to distribute the apples can be calculated as C(20+10-1, 10-1) = C(29, 9). Likewise, the number of ways to distribute the oranges can be calculated as C(40+20-1, 20-1) = C(59, 19). To find the total number of ways to distribute both fruits, we multiply these two values together.

Therefore, the total number of ways to distribute all the fruits to the 30 children while satisfying the given conditions is C(29, 9) x C(59, 19).

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Answer:

200

Step-by-step explanation:

0.2 * x = 40

40 / 0.2 = 200

Answer:

Its called the rise

Step-by-step explanation:

Answer:

(2,5)

Step-by-step explanation:

15x-4y=-50

3x-2y=-16

15x-10y=-80

15x-4y=-50

-15x+10y=80

15x-4y=-50

10y=80

-4y=-50

6y=30

y=5

3x-2y=-16

3x-2(5)=-16

3x-10=-16

3x=6

x=2

Hope this helped <3

The vector can be written as:

Vector = -9i - 9√3j

To write the vector in terms of i and j, we need to determine its components.

Given that the magnitude of the vector is 18 and the direction angle is 240°, we can use the following formulas:

x-component: magnitude * cos(direction angle)

y-component: magnitude * sin(direction angle)

Using these formulas, we can calculate the components:

x-component = 18 * cos(240°)

y-component = 18 * sin(240°)

To evaluate these trigonometric functions, we need to convert the angle to radians since most calculators and trigonometric functions use radians. To convert from degrees to radians, we use the formula:

radians = degrees * π / 180

So, in this case, 240° in radians is:

240° * π / 180 = 4π / 3

Now, we can calculate the components:

x-component = 18 * cos(4π / 3)

y-component = 18 * sin(4π / 3)

Evaluating these trigonometric functions, we get:

x-component = 18 * (-1/2) = -9

y-component = 18 * (-√3/2) = -9√3

Therefore, the vector can be written as:

Vector = -9i - 9√3j

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Answer:

6,400

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's simplify 20² and 4² to obtain our answer.

Hence, 6400 is the answer.

5 rules of scientific notation which helps us to represent the numbers which are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent.

The exponent is either positive or negative depending on how big or little the number is. Learn about power and exponents to have a deeper understanding. The five golden rules of the scientific notation:

Hence there are the rules of the the scientific notation.

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The product of these two matrices is a 3x3 matrix, AB.
AB = [[-9, -7, -1]
     [-9, -42, -7]
     [63, -42, 7]]

To determine AB, we need to multiply matrix A and matrix B. The dimensions of matrix A are 3x1 and the dimensions of matrix B are 1x3. Since the number of columns in matrix A is equal to the number of rows in matrix B, we can multiply these matrices. The resulting matrix will have the dimensions of the number of rows in matrix A and the number of columns in matrix B, which is 3x3.

To multiply the matrices, we take the dot product of each row in matrix A with each column in matrix B. The dot product is the sum of the products of the corresponding entries in the row and column.

AB = [[(-1)(-9) + (-6)(-7) + (7)(-1)], [(-1)(-9) + (-6)(-7) + (7)(-1)], [(-1)(-9) + (-6)(-7) + (7)(-1)]]
AB = [[-9, -7, -1]
     [-9, -42, -7]
     [63, -42, 7]]

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a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Therefore, in about 15 years and 2 months, the senior class will have about 100 students.

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).

Then, we can write the following equation to represent the situation:

P\((1-r)^{n}\) = 100

We know that the current population of the senior class is 320, so we can substitute these values into the equation:

320\((1-0.07)^{n}\) = 100

Simplifying the equation, we get:

\(0.93^{n}\) = 0.3125

Taking the natural logarithm of both sides, we get:

n ln (0.93) = ln (0.3125)

Dividing both sides by ln (0.93), we get:

n = ln (0.3125) / ln (0.93)

Using a calculator, we find that n is approximately equal to 15.21 years.

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Answer:

t < 7

Step-by-step explanation:

52 > 5t + 17

52 - 17 > 5t

35 > 5t

35/5 > t

t < 7

If the range on an X-bar-R chart suddenly and significantly increases, it indicates an increase in process variation. In this scenario, the mean (X-bar) may or may not be affected.

The mean represents the central tendency or average value of the process, while the range measures the dispersion or variation within the process.

If the mean remains stable and unaffected despite the increase in range, it suggests that the process average is still within control. However, if the range increase is accompanied by a significant shift in the mean, it indicates a potential shift in the process average.

To make a definitive determination, additional analysis and investigation are necessary to identify the underlying cause of the increased range and its impact on the process mean.

This could involve examining individual data points, performing hypothesis testing, or conducting further statistical analysis to assess the process stability and potential issues.

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Answer:

the last one or the second, sorry if you get it wrong also can you like and, also  can you give me brainly!!

Step-by-step explanation:

Answer:

B hope this helps

Step-by-step explanation:

Answer: it’s (A)

Step-by-step explanation:

The expected value of the number of games the two equally strong tennis players will play until one wins three games in a row is 14.

Let's consider the possible sequences of games that can occur until one player wins three games in a row. We will denote the winning player as W and the losing player as L. The sequences can be represented as a combination of W's and L's, such as WWL, WLW, LWW, etc.

The key insight is that for each sequence, the last game played must be won by the player who wins three games in a row. This means that the number of games played until the streak ends is fixed at three. However, the preceding games can have various combinations of wins and losses.

To calculate the expected value, we need to consider all possible sequences and their probabilities. Since each player has a 50% chance of winning each game, the probability of any specific sequence occurring is (1/2)^n, where n is the length of the sequence.

We can calculate the expected value by summing the product of the number of games played in each sequence and its corresponding probability.

Considering all possible sequences and their probabilities, the expected value of the number of games played until one player wins three games in a row is found to be 14.

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Answer:

Religion is important because it shapes people’s morals, customs, traditions, beliefs, and, ultimately, behavior. Shared religious beliefs bind people together. References to the story of Noah’s Ark, for example, would be familiar to all members of the Christian religion

Step-by-step explanation:

Answer:

First of all make me as branlist answer then I will surely send it

Answer:

A

Step-by-step explanation:

6 minues -2 equals 8 because when subtracting a negative, (thats double negative), you add instead. If you substitute -2 for x in the other part of the situationadn solve it also equals 8 so yeah. Hope this helps :)

Answer:

X= 5, -2

Step-by-step explanation:

This would be the answer if you are looking to "solve"

To find the volume of a triangular prism with a right angle, multiply the area of the base triangle by the height of the prism.

Start with a triangular prism that has a right angle. The base of the prism is a right-angled triangle.

Measure the lengths of the two perpendicular sides of the right-angled triangle, which are typically referred to as the base (b) and the height (h) of the triangle.

Calculate the area of the base triangle using the formula: Area = (1/2) * base * height.

Measure the height (H) of the prism, which is the perpendicular distance between the two parallel bases.

Multiply the area of the base triangle by the height of the prism to find the volume:

Volume = Base Area * Height = (1/2) * base * height * H.

If the dimensions are given in different units, make sure to convert them to the same unit before performing the calculations.

The volume of a triangular prism with a right angle can be found by multiplying the area of the base triangle by the height of the prism. Ensure that the base dimensions and the height are measured accurately and in the same unit.

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Answer:

7.14%

Step-by-step explanation:

Any comparison with the increase or decrease in price has to be compared to the ORIGINAL price. (at the beginning of the month.)

The price increased from $3.50 to $3.75, an increase of $0.25

To find what percent it is use:\(\frac{change}{original}\)×100%

\(\frac{0.25}{3.50}\)×100%

Answer:

7.1428571% increase

7  1/7 % increase

Step-by-step explanation:

To find the percent increase ( we know this is an increase since the amount went up), take the new amount and subtract the original amount

3.75 - 3.50 = .25

Divide by the original amount

.25 / 3.50

.071428571

Multiply by 100 %

7.1428571%

7 1/7 %

An algebraic expression for six less than seven and one-half times the number of acres of land Joe has:

(7 1/2)a - 6

Let us assume that a represents the number of acres of land Joe has.

We need to write given statement  as an algebraic expression.

Consider given statement.

Six less than seven and one-half times the number of acres of land Joe has.

i.e.,  six less than seven and one-half times 'a'

As we know six less than.. means Subtract 6 from ...

So, we rewrite above statement as,

subtract 6 from seven and one-half times 'a'

So, we get an expression    (7 1/2 ×  a) - 6

We can write the mixed fraction  seven and one-half times (7 1/2) as 15/2 (a proper fraction)

So, an algebraic expression becomes,

(15/2  × a) - 6

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Keys would land approximately 142.66 meters from the base. Ant would travel approximately 158.69 meters using the Pythagorean theorem.

To determine how far from the base of the Capital Gate Tower the keys would land, we can use trigonometry. Given that the tower is 150 meters tall and makes a 72° angle with the ground, we can calculate the horizontal distance from the base.

Let's consider the right triangle formed by the height of the tower, the distance from the base to where the keys land, and the vertical distance from the top of the tower to where the keys land.

Using the sine function, we can relate the angle and the side lengths of the triangle:

sin(72°) = opposite/hypotenuse

sin(72°) = x/150

Rearranging the equation, we get:

x = 150 * sin(72°)

x ≈ 150 * 0.9511

x ≈ 142.66

Therefore, the keys would land approximately 142.66 meters from the base of the tower.

Next, let's determine the distance the ant would travel if it walked straight down the side of the tower until it reached the ground. We know that from the top of the tower to the base, it's 51.84 meters.

The distance the ant would travel is equal to the hypotenuse of a right triangle formed by the height of the tower and the distance it travels.

Using the Pythagorean theorem, we can calculate the distance:

Distance = \(\sqrt{(51.84^2 + 150^2)}\)

Distance ≈\(\sqrt{ (2685.4656 + 22500)}\)

Distance ≈ \(\sqrt{25185.4656}\)

Distance ≈ 158.69

Therefore, the ant would travel approximately 158.69 meters from the top of the tower to the base. The trigonometric ratio used to find this distance is the Pythagorean theorem, which relates the sides of a right triangle.

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Answer:

In nonlinear optimization, it is not true that the solution will always result in a global minimum, and therefore, running the model once might not be sufficient. Nonlinear optimization problems can have multiple local minima, and finding the global minimum can be challenging. So, The correct answer is false.

Step-by-step explanation:

In nonlinear optimization, it is not always guaranteed that the solution will result in a global minimum. The solution may converge to a local minimum instead. Therefore, it may be necessary to run the model multiple times with different starting points to ensure that the global minimum is reached.

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Answer:if your lookin for what p = then here

Step-by-step explanation:

10p−14=9p+17

Subtract 9p from both sides.

10p−14−9p=17

Combine 10p and −9p to get p.

p−14=17

Add 14 to both sides.

p=17+14

Add 17 and 14 to get 31.

p=31

Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

4 bouquets

Step-by-step explanation:

She can make four bouquets, being that 4 is the greatest common factor of both 12 and 16

Answer:

9 because 3 x  4 = to 9

Step-by-step explanation: