please help, im so confused

Step-by-step explanation:

the answer is 54 cm

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Answer:

second option

Step-by-step explanation:

Given

a(c + b) = d ← distribute parenthesis on left side

ac + ab = d ( subtract ab from both sides )

ac = d - ab ( isolate c by dividing both sides by a )

c = \(\frac{d-ab}{a}\)

Step-by-step explanation:

I think you are 100 percent Clear.Thanks

Answer:

y-2x=4

Step-by-step explanation:

the slope is 2

the opposite reciprocal is -1/2

2/1 = 2

Answer:

10 - 3n = 31

n = -7

Step-by-step explanation:

10 - 3n = 31

-3n = 31 - 10

-3n = 21

n = 21/-3

Answer:

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Step-by-step explanation:

Given:

First week

x gallons of gas at $2.39 per gallon

x gallons = $2.39x

Second week

3 fewer gallons of gas than the first week at $2.49 per gallon

x - 3 gallons = $2.49(x-3)

Total spent = $46.21

$2.39x + $2.49(x-3) = $46.21

2.39x + 2.49x - 7.47 = 46.21

4.88x - 7.47 = 46.21

Add 7.47 to both sides

4.88x - 7.47 + 7.47 = 46.21 + 7.47

4.88x = 53.68

Divide both sides by 4.88

x = 53.68/4.88

= 11

x = 11

First week = x = 11 gallons

Second week

= x - 3

= 11-3

= 8 gallons

Therefore,

In the first week, Micah bought 11 gallons of gas.

In the second week, Micah bought 8 gallons of gas.

Answer: 2.25

Step-by-step explanation: 2.25 because if u subtract 10.75 - 8.5 = 2.25

Therefore, the maximum number of hikers that could walk between 8 and 18 miles is 3.

Cumulative frequency is a statistical concept that represents the total number of observations or data points that fall below or equal to a certain value in a dataset. It is calculated by adding up the frequencies of all values up to and including the current value. The resulting values can be used to construct cumulative frequency tables and graphs, which are useful in visualizing the distribution and pattern of data.

Here,

Since the data is grouped into intervals, we can use the cumulative frequency to find the minimum and maximum number of hikers.

a) To find the minimum number of hikers that could walk between 8 and 18 miles, we need to find the cumulative frequency of hikers who walked up to 8 miles and subtract it from the cumulative frequency of hikers who walked up to 18 miles.

Cumulative frequency of hikers up to 8 miles = 2

Cumulative frequency of hikers up to 18 miles = 7

Minimum number of hikers that could walk between 8 and 18 miles = Cumulative frequency up to 18 miles - Cumulative frequency up to 8 miles = 7 - 2 = 5

b) To find the maximum number of hikers that could walk between 8 and 18 miles, we need to subtract the cumulative frequency of hikers who walked up to 18 miles from the total number of hikers.

Total number of hikers = 10

Cumulative frequency of hikers up to 18 miles = 7

Maximum number of hikers that could walk between 8 and 18 miles = Total number of hikers - Cumulative frequency up to 18 miles = 10 - 7 = 3

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Answer:

The slope is 0

Step-by-step explanation:

Slope can be found using the expression \(\frac{y2-y1}{x2-x1}\)

In this case,

y2 = 4

y1 = 4

x2 = 0

x1 = 2

\(\frac{4-4}{0-2}\)  = 0/-2 = 0

The dimensions of the rectangle will be 4 and 6.

From the information given, we are told that the area is given by x² + 2x - 24. We will expand this as follows:

x² + 2x - 24

x² + 6x - 4x - 24

x(x + 6) + 6(x - 4)

x - 4 = 0

x = 0 + 4

Therefore, the other dimension will be:

= 24/4

= 6

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Answer:

Translation: Shift the trapezoid 5 units to the right.

Dilation: Enlarge the trapezoid vertically by a factor of approximately 3.365.

Reflection: Reflect the trapezoid across the y-axis.

Note: The order of transformations may vary depending on the convention used.

Step-by-step explanation:

To determine the series of transformations that result in the unshaded trapezoid being the image of the shaded trapezoid, we can analyze the changes in the coordinates.

Translation:

The shaded trapezoid is shifted horizontally by 5 units to the right to become the unshaded trapezoid. Therefore, the first transformation is a translation.

Translation vector = (5, 0)

Dilation:

The shaded trapezoid is enlarged in the vertical direction. To determine the dilation factor, we compare the corresponding side lengths.

The length of side AB in the shaded trapezoid is given by the distance formula:

AB = sqrt((-4 - (-5))^2 + (5 - 1)^2) = sqrt(1^2 + 4^2) = sqrt(17)

The length of side A'B' in the unshaded trapezoid is given by the distance formula as well:

A'B' = sqrt((1.5 - 0)^2 + (9 - 1)^2) = sqrt(1.5^2 + 8^2) = sqrt(66.25) = 2.5sqrt(26)

The dilation factor is the ratio of the corresponding side lengths:

Dilation factor = A'B' / AB = (2.5sqrt(26)) / sqrt(17) = 2.5sqrt(26/17) ≈ 3.365

Reflection:

The unshaded trapezoid is a reflection of the shaded trapezoid across the y-axis. This transformation reverses the sign of the x-coordinates.

The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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In this scenario, we are given three functions: f, g, and h, where the input and output for each function are natural numbers. Additionally, we are given the condition that f(n) < g(n) < h(n) for all natural numbers n.

The objective is to determine the relationship between the three functions based on this condition.Based on the given condition, we can conclude that the output of function g is greater than the output of function f for all natural numbers. Similarly, the output of function h is greater than the output of function g for all natural numbers. This implies that the functions f, g, and h are ordered in increasing order.

In other words, for any input value n, the value of f(n) is the smallest, followed by g(n), and then h(n) is the largest. This order is maintained consistently for all natural numbers. This information allows us to establish the relative magnitudes of the outputs of the three functions and the overall ordering of the functions themselves.

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By depositing $4000 in cash into a checking account at the local bank, given that the reserve requirement is 12%, the increase the total value of checkable bank deposit is $33333.33.

Reserve requirements are the amount of funds that a bank holds in reserve to ensure that it is able to meet liabilities in case of sudden withdrawals.

The required reserve ratio can be found by dividing the amount of money a bank is required to hold in reserve by the amount of money it has on deposit.

Given,

reserve requirement = 12%

money deposited = $4000

checkable bank deposit = money deposited / reserve requirement = \(\frac{4000}{0.12} = 33333.33\)

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complete question is given below:

You just deposited $4,000 in cash into a checking account at the local bank. Assume that banks lend out all excess reserves and there are no leaks in the banking system. That is, all money lent by banks gets deposited in the banking system. Round your answers to the nearest dollar. If the reserve requirement is 12%, how much will your deposit increase the total value of checkable bank deposit?

Using a two-sided coin and tossing it in the air to determine which participants go into which groups is an example of random assignment.

Random assignment is a process that involves assigning research participants to experimental groups or conditions in such a way that each participant has an equal chance of being assigned to any group. In the case of a two-sided coin, each participant has an equal chance of being assigned to either group.

The primary purpose of random assignment is to create comparable groups in experimental research. It helps to ensure that there are no systematic differences between the groups that could affect the results of the study.

There are several other ways to accomplish random assignment, including drawing numbers from a hat, using a random number generator, or flipping a coin. Whatever method is used, the important thing is that it is random and provides each participant with an equal chance of being assigned to any group.

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Answer:

it is the third one

Step-by-step explanation:

just trust the

process

Answer:

last one

Step-by-step explanation:

In every function, there can be only one value in the range (only y value) for each value in the domain (each x value). In the graph shown in the last graph, there are two y values for each value of x.

Answer:

its b for the both of them

Answer:

the correct answer is 7√3

If the condition f(-x) = -f(x) is satisfy then the function is an odd function. Then the odd function is f(x) = 6x³ + 2x.

Odd Function - A true function f(x) is said to be an odd function if the output value of f(-x) is the same as the negative of f(x) for all values of x in the domain of f.

The equation should be stored in an odd function:

f(-x) = -f(x)

Then the functions are given below.

f(x) = 3x² + x

f(x) = 4x³ + 7

f(x) = 5x² + 9

f(x) = 6x³ + 2x

Then replace x with the negative x, then we have

f(x) = 3(-x)² + (-x) = 3x² - x =

f(x) = 4(-x)³ + 7 = -4x³ + 7

f(x) = 5(-x)² + 9 = 5x² + 9

f(x) = 6(-x)³ + 2(-x) = -6x³ - 2x = - (6x³ + 2x)

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Answer: D

Step-by-step explanation:

option b is the correct answer

The expected total number of candies that Abi eats in a year can be calculated by multiplying the number of candies she eats per day by the number of days in a year.

For example, if Abi eats 3 candies per day, we can calculate her expected total number of candies in a year as follows:

Number of candies per day = 3
Number of days in a year = 365

Expected total number of candies = Number of candies per day × Number of days in a year
Expected total number of candies = 3 × 365
Expected total number of candies = 1095

Therefore, the expected total number of candies that Abi eats in a year is 1095.

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Answer:

-11n

Step-by-step explanation:

You have to combine like terms

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Answer:

x is 48 y is 12 z=50

Step-by-step explanation:

x+y+z=110

x=4y

4y+2=z

4y+y+4y+2=110

9y+2=110

9y=108

y=12

x=48

z=50

Hope this helps!

When we roll three fair coins, there are two possible outcomes for each coin - either it lands heads up or tails up. There are 8 elementary events in the sample space of the experiment of rolling three fair coins.

The sample space of this experiment consists of all possible combinations of three outcomes, which can be calculated by multiplying the number of outcomes for each coin: 2 x 2 x 2 = 8.
Each of these combinations is called an elementary event, which means that there are 8 elementary events in the sample space of the experiment of rolling three fair coins. We can list them as follows:
1. HHH (all three coins land heads up)
2. HHT (two coins land heads up, one lands tails up)
3. HTH (two coins land heads up, one lands tails up)
4. THH (two coins land heads up, one lands tails up)
5. HTT (one coin lands heads up, two land tails up)
6. THT (one coin lands heads up, two land tails up)
7. TTH (one coin lands heads up, two land tails up)
8. TTT (all three coins land tails up)

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The jailer is correct in pointing out that if Prisoner A knew which of his fellow prisoners would be set free, his own probability of being executed would rise from 1/3 to 1/2. Therefore, the jailer's refusal to answer Prisoner A's question is justified based on probability calculations.

Scenario 1: Prisoner A is chosen for execution (1/3 probability)

In this case, if the jailer tells Prisoner A privately which of his fellow prisoners will be set free, it doesn't change the fact that Prisoner A is the one who will be executed. The information about the other prisoners' fate does not affect Prisoner A's own probability of being executed.

Scenario 2: Prisoner B is chosen for execution (1/3 probability)

In this scenario, if the jailer tells Prisoner A privately that Prisoner C will be set free, then Prisoner A's probability of being executed rises from 1/3 to 1/2. Knowing that one of the other two prisoners will be freed makes Prisoner A realize that if it's not B who is executed, then it must be him. So in this scenario, Prisoner A's probability of being executed does increase to 1/2.

Scenario 3: Prisoner C is chosen for execution (1/3 probability)

Similarly, if the jailer tells Prisoner A privately that Prisoner B will be set free, then Prisoner A's probability of being executed also rises from 1/3 to 1/2. Again, the knowledge that one of the other two prisoners will be freed indicates to Prisoner A that if it's not C who is executed, then it must be him.

From the above analysis, we can see that in two out of the three scenarios, Prisoner A's probability of being executed does indeed increase to 1/2 if he knows which fellow prisoner will be freed. Therefore, the jailer's reasoning is valid in denying Prisoner A's request for private information.

In summary, the jailer is correct in pointing out that if Prisoner A knew which of his fellow prisoners would be set free, his own probability of being executed would rise from 1/3 to 1/2. Therefore, the jailer's refusal to answer Prisoner A's question is justified based on probability calculations.

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Considering the curve x³y + y³ = sin y - x, the final i is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

Implicit differentiation is a technique used to differentiate equations that are not explicitly expressed in terms of one variable. It is particularly useful when you have an equation that defines a relationship between two or more variables, and you want to find the derivatives of those variables with respect to each other.

To find dy/dx for the curve x³y + y³ = sin y - x², the implicit differentiation will be used which involves differentiating both sides of the equation with respect to x.

It is expressed as follows;

\(\frac{d}{dx} x^3y + \frac{d}{dx} y^3 = \frac{d}{dx} sin(y) - \frac{d}{dx} x^2\)

Then we'll differentiate each term:

For the first term, x^3y, we'll use the product rule

\(\frac{d}{dx} x^3y = 3x^2y + x^3 \frac{dy}{dx}\)

For the second term, y^3, we'll also use the chain rule

\(\frac{d}{dx} y^3 = 3y^2 \frac{dy}{dx}\)

For the third term, sin(y), we'll again use the chain rule

\(\frac{d}{dx} sin(y) = cos(y) \frac{dy}{dx}\)

For the fourth term, x², we'll use the power rule

\(\frac{d}{dx} x^2 = 2x\)

Substituting these expressions back into the original equation, we get:

3x²y + x³(dy/dx) + 3y²(dy/dx) = cos(y)(dy/dx) - 2x

Simplifying the equation:3x²y + x³(dy/dx) + 3y²(dy/dx) - cos(y)(dy/dx) = -2x

Dividing both sides by 3y² - cos(y), we get:(x³ - cos(y))(dy/dx) = -2x / (3y² - cos(y))

Hence, the final answer is;\(\frac{dy}{dx} = \frac{-2x}{3y^2 - cos(y)} \div (x^3 - cos(y))\)

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Answer:

the temperature fell 4* every hour

Step-by-step explanation: