Shelly wants to join crossfit. The gym charges an initial membership fee of $60 and a monthly fee of $120. She has $900 to spend on a CrossFit memmbership. Write and solve an equation too find the number of months that Shelly can be a CrossFit memeber.

Answer:

48

Step-by-step explanation:

2*(L+W)

=2*(7+17)

********

Answer:

i need the rest of the problem to figure it out sorry

Step-by-step explanation:

Answer:

60 ounces

Step-by-step explanation:

got i t on edmentum

Answer:

Discriminant = 49, two real solutions

Step-by-step explanation:

Discriminant = b² - 4ac = (5)² - 4(3)(-2) = 25 + 24 = 49

Since 49>0, then the quadratic equation has two real solutions.

Answer:

D=49  

x=1/3

x= -2

Answer:

x=-4   y =4

Step-by-step explanation:

Look at the line

A sample size of at least 538 freshmen to estimate the proportion of freshmen who do not visit their advisors regularly with a margin of error of 4% and a confidence level of 95%.

To answer your question, we need to use the formula for sample size calculation for proportion:
n = [(Z-score)^2 * p(1-p)] / E^2

Where:
n = required sample size
Z-score = the critical value for the desired confidence level (95% confidence level corresponds to a Z-score of 1.96)
p = the estimated population proportion (34% or 0.34)
1-p = the complement of p
E = the desired margin of error (4% or 0.04)

Plugging in the values:
n = [(1.96)^2 * 0.34(1-0.34)] / (0.04)^2
Simplifying the equation:
n = [(3.8416) * 0.2244] / 0.0016
n = 537.38

We need a sample size of at least 538 freshmen to estimate the proportion of freshmen who do not visit their advisors regularly with a margin of error of 4% and a confidence level of 95%. Keep in mind that this is just an estimate based on the historical data and assumes that the population proportion has not changed significantly.

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Answer:

c

Step-by-step explanation:

linear and decreasing

it has negative gradient and it is straight line

Answer:

29/4 or as a mixed fraction 7 1/4

Step-by-step explanation:

Answer:

Ann has $60.00.

Betty has $24.00.

Step-by-step explanation:

Let a = Anne's money

Let b = Betty's money

a + b = 84

a = 2b + 12  Substitute 2b + 12 for a in the first equation

2b + 12 + b = 84  Combine like terms

3b + 12 = 84  Subtract 12 from both sides

3b + 12  - 12 = 84 - 12

3b = 72  Divide both sides by 3

b = 24

Betty has $24.00

a + b = 84  Substitute 24 for b

a + 24 = 84  Subtract 24 from both sides

a + 24 - 24 = 84 - 24

a = 60

Check:

a + b = 84

60 + 24 = 84

84 = 84 checks

a = 2b + 12

60 = 2(24) + 12

60 = 48 + 12

60 = 60 checks.

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

Let Anne have '$x' amount of money.

Then, Betty have ($84-x).

According to Question,

x = 2 ( 84 - x) + 12

x = 168 - 2x + 12

x = 180 - 2x

3x = 180

x = 180/3 = 60

Hence, Anne has $60

          And Betty has ($84 - $60)= $24.

Answer:

30

Step-by-step explanation:

formula :15÷100×200

The only reasonable side length is x = 8 is "The solutions are -8 and 8, but only 8 is a reasonable side length."

The equation provided and evaluate the solutions in the context of the problem.

The equation mentioned in the problem is not explicitly provided, so we'll proceed with the given information.

Let's assume the side length of the square prism cake box is x.

The volume of a square prism can be calculated using the formula:

Volume = Length × Width × Height

Since the cake box is a square prism, the length and width are the same, so we can write:

Volume = x × x × 5.5

Given that the volume of each box must be 352 cubic inches, we can set up the equation:

x^2 × 5.5 = 352

Now, let's solve this equation to find the possible solutions for x:

x^2 = 352 / 5.5

x^2 ≈ 64

Taking the square root of both sides, we have:

x ≈ ±8

The solutions to the equation are -8 and 8.

Since we are dealing with a physical length, a negative side length doesn't make sense in this context.

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Answer:

7

Step-by-step explanation:

The subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂] has a basis consisting of the vectors [1, 3, -7, 3] and [0, 1, 8, -6].

Vectors are an essential component of linear algebra and are used to represent quantities that have both magnitude and direction.

Now, let's consider the subspace of R⁴ consisting of all vectors of the form [x₁, 3x₁+x₂, -7x₁+8x₂, 3₁-6x₂].

To find a basis for this subspace, we need to find a set of vectors that are linearly independent and span the subspace.

Let's consider the equation a[1, 3, -7, 3] + b[0, 1, 8, -6] = [0, 0, 0, 0] for some coefficients a and b. This gives us the system of equations:

a = 0

3a + b = 0

-7a + 8b = 0

3a - 6b = 0

The first equation immediately gives us a = 0, and substituting this into the second equation gives us b = 0 as well. Therefore, the two vectors we found are linearly independent, and hence form a basis for the subspace.

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The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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One polygon has 6 sides and the other has 7 sides.

Polygons are closed 2D shapes made up of straight lines. Regular polygons have sides of equal length and angles of equal measure. In this problem, we are given information about two regular polygons.

We are told that the total number of sides in both polygons is 13. Let's call the number of sides in one polygon "n" and the number of sides in the other polygon "m". Then, we know that:

n + m = 13

Next, we are given the total number of diagonals in both polygons, which we can calculate using the formula:

d = (n(n-3) + m(m-3))/2

where "d" is the total number of diagonals. We are told that d = 25. Substituting this value and the equation for n + m into the diagonal formula, we get:

25 = (n(n-3) + m(m-3))/2

25 = (n² - 3n + m² - 3m)/2

50 = n² - 3n + m² - 3m

We can use the equation n + m = 13 to solve for one variable in terms of the other. For example, we can solve for "m" by subtracting "n" from both sides:

m = 13 - n

Substituting this into the previous equation, we get:

50 = n² - 3n + (13-n)² - 3(13-n)

50 = n² - 3n + 169 - 26n + n² - 36 + 3n

Simplifying this equation, we get:

2n² - 26n + 45 = 0

We can use the quadratic formula to solve for "n":

n = (26 ± √376)/4

n ≈ 5.61 or n ≈ 8.39

Since we are dealing with whole numbers of sides, "n" must be either 6 or 8. Plugging each value into the equation n + m = 13, we find that the other polygon must have the opposite value.

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Answer:

65°

Step-by-step explanation:

The sum of angles in a triangle =180

53°+62°+?°=180°

115°+?°=180°

?°=180°-115°

Rate the answer If you love everything I did n explanation

Answer:

65 degrees

Step-by-step explanation:

Angles in a triangle add up to 180, so 180 - 53 - 62 = 65.

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

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Answer:

$16442.18

Step-by-step explanation:

12,750 x 1.055^4.75 = 16442.18

Hope this helps^^

7×50×5 = 1750 minutes

1750minutes/60minutes = 29.161 hours

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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It will take approximately 18 weeks for the virus to infect 800,000 people, based on a growth rate of 12% per week. This calculation assumes a continuous and consistent rate of infection.

To determine how long it will take for the virus to infect 800,000 people, we can use exponential growth based on the given rate of 12% per week.

Let's calculate the number of infected people after each week:

Week 1: 100,000 + (12% of 100,000) = 100,000 + 12,000 = 112,000

Week 2: 112,000 + (12% of 112,000) = 112,000 + 13,440 = 125,440

Week 3: 125,440 + (12% of 125,440) = 125,440 + 15,053.8 ≈ 140,494

Week 4: 140,494 + (12% of 140,494) = 140,494 + 16,859.28 ≈ 157,353

We can observe that the number of infected people increases each week by approximately 12%.

Now let's continue calculating the number of infected people until we reach or surpass 800,000:

Week 5: 157,353 + (12% of 157,353) ≈ 176,125

Week 6: 176,125 + (12% of 176,125) ≈ 197,375

Week 7: 197,375 + (12% of 197,375) ≈ 221,225

Week 8: 221,225 + (12% of 221,225) ≈ 247,861

Week 9: 247,861 + (12% of 247,861) ≈ 277,960

Week 10: 277,960 + (12% of 277,960) ≈ 312,011

Week 11: 312,011 + (12% of 312,011) ≈ 350,131

Week 12: 350,131 + (12% of 350,131) ≈ 392,157

As we can see, by the end of Week 12, the number of infected people is approximately 392,157. Therefore, it will take more than 12 weeks for the virus to infect 800,000 people.

To determine the exact number of weeks, we need to continue the calculations until we reach or surpass 800,000:

Week 13: 392,157 + (12% of 392,157) ≈ 439,579

Week 14: 439,579 + (12% of 439,579) ≈ 492,205

Week 15: 492,205 + (12% of 492,205) ≈ 550,394

Week 16: 550,394 + (12% of 550,394) ≈ 614,915

Week 17: 614,915 + (12% of 614,915) ≈ 686,982

Week 18: 686,982 + (12% of 686,982) ≈ 767,180

Therefore, it will take approximately 18 weeks for the virus to infect 800,000 people.

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The correct statement about coping strategies is: An effective coping strategy is any strategy that reduces stress.

The correct option is B .

Coping strategies are techniques or actions that individuals use to manage or deal with stressful situations. Different strategies work for different people, so there isn't a one-size-fits-all approach. However, an effective coping strategy is any strategy that successfully reduces or manages stress.

Some examples of effective coping strategies include deep breathing exercises, engaging in physical activity or exercise, seeking support from friends or family, practicing mindfulness or meditation, and engaging in hobbies or activities that bring joy and relaxation.

It's important to note that while ineffective coping strategies may not completely eliminate stress, they can still provide temporary relief or distraction. However, it is generally recommended to focus on developing and using effective coping strategies that can effectively reduce stress and promote overall well-being.

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An effective coping strategy is any strategy that reduces stress.

The true statement about coping strategies is that an effective coping strategy is any strategy that reduces stress.

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Answer:

Step-by-step explanation:6

A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.

Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.

A z score represents the number of standard deviations a data point is from the mean of the data set.

A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.

The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:

z = (x - μ) / σ

= (93 - 80) / 5

= 2.6

Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.

Katie's score is 2.6 standard deviations above the mean.

A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.

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Answer: C. -2/3

Step-by-step explanation:

Answer: 116.16675

Step-by-step explanation:

hope this helps:)

Thus, the current takes roughly 3.3 time constants to drop to 1/e of its starting value.

An RC circuit's time constant is the length of time it takes for the current to drop to 1/e (or around 0.368) of its starting value. Option E, "1/e," is the correct response, therefore.

The equation: gives the time constant () of an RC circuit.

τ = RC

where C is the capacitance in farads and R is the resistance measured in ohms. A crucial factor in deciding how the circuit will behave is the time constant, which measures the rate at which the capacitor charges or discharges through the resistor.

The voltage across the capacitor will be approximately 63.2% of its final value after one time constant, and the current will be roughly 36.8% of its original value. Thus, the current takes roughly 3.3 time constants to drop to 1/e of its starting value.

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Answer:

x=166 , y=28 , z=88

Step-by-step explanation: