-9+5y=-4x -11x=-20 +9y elimination method

Answer:

4 ( 5 - n )

Step-by-step explanation:

The expression:

20 – 4n

Task:  Rewrite the expression for the new weight as a product of two factors.

To do this we simply have to find the highest common factor (HCF) between 20 and 4n

20 = 4 * 5

4n = 4 * n

The HCF = 4

Expressing as a product of two factors;

4 ( 5 - n )

Answer:

First Graph: h(x) = 0.5x^2

Second Graph: f(x) = -2x^2

Third Graph: j(x) = 2x^2

Fourth Graph: g(x) = -x^2

Step-by-step explanation:

First Graph and the Third Graph both open upwards thus we know the coefficient will be positive. Using the point (2,2) as a guide on the first graph, we can see that the best option to fit the first graph would be \(h(x) = 0.5x^2\) as \(h(2) = 0.5 (2)^2 = 0.5(4) = 2\). From process of elimination, we can see that the third graph will be \(j(x) = 2x^2\). Another way to determine this is by looking at the shape of the curves. The first graph opens "wider" thus meaning the coefficient will be smaller.

Second Graph and the Fourth Graph both open downwards thus we know the coefficient will be negative. We only have the options of \(f(x) = -2x^2\) and \(g(x) = -x^2\). We can see that the fourth graph opens "wider" so the coefficient will be smaller thus second graph will be f(x) = -2x^2  and the fourth graph will be g(x) = -x^2. Another way to determine this is by checking a point on a graph. On the fourth graph, there is the point (-2,4). This matches with the equation as \(g(-2) = -x^2 = -(-2)^2 = -4\).

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Answer:

4+(-11)

Step-by-step explanation:

you need to put the negative 11 in ()

Answer:

X = 25

Step-by-step explanation:

We can calculate the value of x using Euclidean theorem

15^2 = 9 × x

225 = 9x divide both sides by 9

25 = x

The theoretical probability of drawing a blue marble from a jar containing 21 brown and 19 blue marbles is 19/40, or 0.475.

To calculate this, divide the number of blue marbles by the total number of marbles in the jar. 19 divided by 40 equals 0.475, or 19/40. This means that there is a 47.5% chance of drawing a blue marble from the jar.

The probability of drawing a specific marble from the jar can be expressed using the formula P(A) = n(A)/n(T).

In this example, the probability P(A) is the chance of drawing a blue marble, n(A) is the number of blue marbles (19) and n(T) is the total number of marbles in the jar (40). Therefore, P(A) = 19/40 = 0.475.

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Answer

The score on her next test that would keep her mean and median the same would be 95. Because her mean and median are already 95, another score of this value would not alter the mean or the median.

Explanation

To answer this, we need to first obtain the current mean and median

96, 95, 98, 92, 94, 93, 97

The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.

Mean = (Σx)/N

x = each variable

Σx = Sum of the variables

N = number of variables

Σx = 96 + 95 + 98 + 92 + 94 + 93 + 97 = 665

N = 7

Mean = (Σx)/N

Mean = (665/7) = 95

Median

The median is the variable that falls in the middle of the distribution when all the variables are arranged either in ascending or descending order.

So, to obtain the median for this, we have to arrange all the scores in data.

96, 95, 98, 92, 94, 93, 97

92, 93, 94, 95, 96, 97, 98

We can easily see that the number in the middle is the fourth number and that number is 95

So, currently the mean and the median are already the same score, 95, so, the score that she needs to get in her next test to keep the mean and median equal is still 95.

Hope this Helps!!!

Answer:

4

Step-by-step explanation:

9-5=4

Answer:

4

Step-by-step explanation:

9-5 is 4

Answer:

36

Step-by-step explanation:

We are interested in rolling a number less than 11, the favorable outcomes are the numbers 1 to 10. Therefore, the number of favorable outcomes is 10, not 11.

Using the corrected values, the probability of rolling a number less than 11 on a 12-sided die is:

Probability = Number of favorable outcomes / Total number of outcomes

Probability = 10/12

Simplifying the fraction, we get:

Probability = 5/6

Therefore, the correct probability of rolling a number less than 11 on a die with 12 sides is 5/6 or approximately 0.8333 to 4 decimal places.

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Answer:

Theater: Comedy 61% Drama 39% Home: Comedy 60% Drama 40%

Step-by-step explanation:

Theater: first add 57 and 36 to get the total amount, then do comedy/total, which is 57/93, when you divide this it equals 0.612. Multiply this by 100 and you get 61.2 %, repeat this formula for the rest: x or y/x+y x being one amount and y another amount. x+y is just the total amount. *If you don't care about how to do it look below*

Theater:

Comedy: 57/93 x 100=61%

Drama: 36/93 x 100=39%

Home:

Comedy: 78/131 x 100=60%

Drama: 53/131 x 100=40%

This totally might be late so you don't need it anymore, welp good luck anyway!

[:

Answer:

A = 4π units²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius ) , then

A = π × 2² = 4π units²

Answer:a

Step-by-step explanation:

Step-by-step explanation:

A is the value of the car after n years P is the purchase price of the car R is the annual depreciation rate n is the number of years

In this case, we have:

P = 20,000 R = 30 n = 4

So, we can plug these values into the formula and get:

A = 20,000 * (1 - 30/100)^4 A = 20,000 * (0.7)^4 A = 20,000 * 0.2401 A = 4,802

Therefore, the resale value of the car after 4 years will be $4,802.

Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

There are five choices for the first digit, five choices for the second digit, and so on. The total number of 5-digit numbers with repetition is given by the formula: 5 * 5 * 5 * 5 * 5 = 3125. The total number of 5-digit numbers that can be formed using the digits 2, 3, 4, 5, and 6 with repetition is 3125.

The number of ways of choosing r items from n is given by the formula:nCr = n! / r! * (n-r)!

In order to calculate the number of 5-digit numbers that can be formed using the digits 2, 3, 4, 5, and 6 without repetition, we have to use the permutation formula: P(n,r) = n! / (n-r)!

Without Repetition: There are five choices for the first digit and after a digit has been chosen, there are only four remaining digits to choose from.

Therefore, we have five choices for the first digit and four choices for the second digit and so on.

So, the number of 5-digit numbers that can be formed using the digits 2, 3, 4, 5, and 6 without repetition can be calculated as follows: Total number of 5-digit numbers without repetition = 5 * 4 * 3 * 2 * 1= 120.

Therefore, the total number of 5-digit numbers that can be formed using the digits 2, 3, 4, 5, and 6 without repetition is 120.

With Repetition: In the case of repetition, we have five choices for each digit.

Thus, there are five choices for the first digit, five choices for the second digit, and so on.

Therefore, the total number of 5-digit numbers with repetition is given by the formula:5 * 5 * 5 * 5 * 5 = 3125.

Therefore, the total number of 5-digit numbers that can be formed using the digits 2, 3, 4, 5, and 6 with repetition is 3125.

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True. If most or all of the exposure units in a certain class simultaneously incur a loss, the pooling technique will decrease the expected loss or standard deviation the most.

The pooling technique involves combining multiple exposure units into a single pool or group. When a certain class of exposure units, such as insurance policies or investment portfolios, experiences losses simultaneously, pooling can be advantageous.

In this scenario, the losses are spread across the entire pool, reducing the impact on individual units and decreasing the overall expected loss or standard deviation. By pooling the exposures, the losses are effectively shared among the units, resulting in a more balanced distribution of risk.

This pooling technique helps to mitigate the impact of catastrophic events or large-scale losses that could otherwise have a significant negative impact on individual units. The diversification achieved through pooling can lead to a decrease in the expected loss, as well as a reduction in the standard deviation, which measures the variability of losses.

Therefore, when most or all of the exposure units in a certain class incur a loss simultaneously, the pooling technique proves to be effective in decreasing the expected loss or standard deviation to a greater extent. This highlights the importance of risk management strategies that involve pooling to mitigate the impact of adverse events.

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Answer:

x = 12

Step-by-step explanation:

30 degrees and 4x+2 are equal to 8+6x

First, write a formula or expression:

30 + 4x+2 = 8+6x

simplify this by collecting like terms

32 + 4x = 8+6x (minus 6x from both sides)

32 - 2x = 8 (minus 32 from both sides)

-2x = -24 (divide by -2)

x = 12

now sub into the formula:

30 + (4 × 12 +2) = 8 + 6 × 12

80 = 80

The recursive rule for the sequence in the graph is aₙ = aₙ₊₁ + 4

Recursive rule are the rules that continually takes a previous number and changes it to get to a next number.

It gives first term or terms of sequence and describes how term is related to previous term with an equation.

Looking at the graph ,

taking first two point  ,n = 1 and n = 2

At n = 1 , a(n) = 13

At n = 2 , a(n) = 9

so , 9 = 13 - 4

we can write it as,

a₂ = a₁ - 4

Hence , recursive formula for sequence :

aₙ₊₁ = aₙ - 4

bring aₙ to the left

=>  aₙ = aₙ₊₁ + 4 is required recursive formula

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The zero of the function m = -0.99d + 50 represents the point at which the amount of money remaining on the gift card is zero. It indicates the maximum number of songs that can be downloaded using the entire $50 gift card.

In the given function m = -0.99d + 50, "m" represents the amount of money remaining on the gift card, and "d" represents the number of songs downloaded. The coefficient of "d" (-0.99) represents the amount of money spent per song download. To find the zero of the function, we set m = 0 and solve for d. So, 0 = -0.99d + 50. Rearranging the equation, we get 0.99d = 50, and dividing both sides by 0.99, we find d ≈ 50.51. Therefore, the zero of the function is approximately d = 50.51. In the context of this situation, it means that when approximately 50 songs are downloaded using the gift card, the remaining amount of money on the card will be zero. It indicates the maximum number of songs that can be downloaded using the entire $50 gift card.

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The z-score table shows that for a z-score of 15.1, the p-value is approximately zero (p < 0.0001). Hence, the p-value for this sample is p < 0.0001.

Given that the population is normally distributed and the standard deviation is σ = 5.2.

A sample of size n = 64 is obtained with the sample mean of M = 78.5.

Test statistic = (Sample mean - population mean) / (Standard error of the mean) = (78.5 - µ) / (σ /√n)

Where µ = population mean = 0σ = 5.2n = 64.

The formula for the standard error of the mean is; σM = σ/√n = 5.2/√64 = 0.65.

Substituting in the test statistic equation,

Test statistic = (78.5 - 0) / 0.65 = 121.54.

P-value is the probability of obtaining the observed sample mean or a more extreme value from the null hypothesis.

Assuming a significance level of α = 0.05 and the null hypothesis H0: µ = 0 (Population mean), we can obtain the p-value from the z-score table.z-score = (sample mean - population mean) / standard deviation = (78.5 - 0) / 5.2 = 15.1

The z-score table shows that for a z-score of 15.1, the p-value is approximately zero (p < 0.0001).Hence, the p-value for this sample is p < 0.0001.

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a: 4 maybe

b: origin?

I don't know if right, I am 10 and just started advanced math

Cⁿ₁ is always positive, then the second term has negative sign.

What does binomial expansion mean?

Theorem that states that any power of a binomial (a + b) can be expanded as a specific sum of products (aibj), such as (a + b)2 = a2 + 2ab + b2.

The i-th term of the binomial expansion \((x- y)^{n}\)

Ti = nCi - 1 . (x)ⁿ+¹⁺i  . (-y)i - 1

For any n, when i=2,

T₂ = nC₂₋₁  . xⁿ⁺¹⁻² . (-y)²⁻¹  = -Cⁿ₁ xⁿ⁻¹ . y

Given that is consistently positive, the second term has a negative sign.

Cn1 is consistently positive, and the second term is always negative.

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Answer:

2

3

1

4

Step-by-step explanation:

1 = 2.83

2 = -3.75

3 = 2.25

4 = 3

Answer:

\(\frac{9}{4}\) should be 1st

√8 should be 2nd

3 should be 3rd

- 3.75 should be 4th

Answer

a. 720

b. 24

c. 1/30

Step-by-step explanation

a. To find in how many ways can they arrive we need to calculate the number of permutations.

The number of permutations of n things chosen r at a time is found using:

In this case, we have n = 6 people, and we have to choose r = 6 of them. The number permutations is:

b. If Maria arrives first and Sarah last, then there are 4 places to select randomly (from 2nd to 5th) and 4 people to be ordered. Therefore, we have n = 4 people, and we have to choose r = 4 of them. The number permutations is:

c. The probability that Maria will arrive first and Sarah last is calculated as follows:

But where are the equations?

Answer:

You need to give us the answers

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

81x³ + 54x³i

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

a³b

a = -3x

b = -3 - 2i

Step 2: Expand

The form of a periodic function is H(t) = 20cos(π/12(t+12))+ 60.

What do periodic functions mean?

A function that periodically returns to the same value. Despite the similarity in sound between periodic motion and oscillatory motion, not all periodic motions are oscillatory motion.

Since the values of H oscillates between two values, then the choices of the function are either sine or cosine. However, since the variable measures the time from 4 AM, and 4 AM represents the trough of the oscillation, then cosine is the more appropriate choice. Recall the form of a periodic function

y =A cos(B(x +C))+D

It is given that the peak of desert temperature is at 80F, and the lowest is 40F. Note that the distance between the two temperatures is

80F − 40F =40F

Since the amplitude is the distance from the middle line to either peak or trough, then it is half the distance from the trough to the peak. Hence

A = 40/2= 20

Notice that one full oscillation occurs after one day or 24 hours. Hence the period is

B =2π/24 = π/12

The graph of the cosine function begins at the peak, whereas the function needs to begin at the trough, since the variable t represents the number of hours after 4 AM. Thus, the graph must be shifted horizontally to the left one half-cycle, which is

C = 12

Since the original cosine function has the centerline at x= 0  the centerline of the function must be shifted by the number of units corresponding to the midway point of the peak and the trough. Hence

D= 80 + 40/2 = 120/2 = 60

ubstituting

A =20, B = π/12. C= 12 , and  D= 60 into

The form of a periodic function

                    H(t) = 20cos(π/12(t+12))+ 60

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lol ok so

7*something or you can make it into a variable x=35

7*x=35

/7     /7

x=5.

A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

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