Can you guys help me please ASAP!!!

To have a trail mix containing 30 dried fruits with a ratio of 2:3, approximately 8.57 lbs of active mix should be added. This was calculated by considering the ratio and total weight equation.

To determine the amount of active mix to add in order to have a trail mix containing 30 dried fruits with a ratio of 2:3, we need to calculate the total weight of the trail mix.

Let's assume that the weight of the active mix is x lbs.

According to the ratio, the weight of the dried fruits should be (3/2) times the weight of the active mix.

Weight of dried fruits = (3/2) * x lbs

The total weight of the trail mix, including the active mix and dried fruits, is the sum of the weights of the two components:

Total weight = x lbs + (3/2) * x lbs

We know that the total weight of the trail mix is equal to 30 lbs (since we want 30 dried fruits).

So, we can set up the equation:

x + (3/2) * x = 30

Simplifying the equation:

2x + 3x/2 = 30

4x + 3x = 60

7x = 60

Solving for x:

x = 60/7 ≈ 8.57

Therefore, approximately 8.57 lbs of active mix should be added to have a trail mix containing 30 dried fruits with a ratio of 2:3.

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--The given question is incomplete, the complete question is given below " How much active mix should she add in order to have a trail mix containing 30 ried fruit when ratio is 2:3? lbs "--

Answer:

2.25

Step-by-step explanation:

yes

The unit rate of the silver chain is $0.44 per inch.

Unit rate is the ratio of two different units, with denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc. Arithmetic is probably the most basic and ancient branch of mathematics and is quite commonly used in our day-to-day life.

Given here: 16 inches of silver chain costs $36 and 18 inches cost $40.50

Thus we have the unit rate( dollar/inch) =36/16=40.50/18=4/9

Therefore the unit rate is given by 4/9 or 0.444 dollar per inch.

Hence, The unit rate of the silver chain is $0.44 per inch.

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The normal distribution calculation for the area shows the computer center should purchase the new computers to meet the usage needs.

Mean time of computer usage (μ) = 36 minutes

Standard deviation (σ) = 5 minutes

Number of uses recorded each week = 10,000

To determine whether the computer center should purchase new computers,

Calculate the probability of recording more than 2000 uses of longer than 40 minutes at each sitting in a week.

To find the probability, standardize the value of 40 minutes using the z-score formula,

z = (x - μ) / σ

where x is the value we are interested in (40 minutes),

μ is the mean (36 minutes),

and σ is the standard deviation (5 minutes).

Plugging in the values, we get,

z = (40 - 36) / 5

= 4 / 5

= 0.8

Next, find the area under the normal distribution curve to the right of the z-score of 0.8.

This represents the probability of recording computer usage longer than 40 minutes.

Using a standard normal distribution calculator, the area to the right of 0.8 is approximately 0.2119.

To find the number of uses longer than 40 minutes,

multiply this probability by the total number of uses recorded each week,

Number of uses longer than 40 minutes

= 0.2119 × 10,000

≈ 2119

Since the number of uses longer than 40 minutes is approximately 2119, which is greater than 2000.

Therefore, using normal distribution the computer center should purchase the new computers to meet the usage needs.

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Given: Rachel has a box in the shape of a prism with a square base. The capacity of the box is 150 cubic inches. The height of the box (y) is times the base length of the box (x).

Find the approximate height and the length of the box.

Let's assume the length of the base of the square is x.

The area of the base of the square is x^2.

If the height of the prism is y,

The volume of the prism is given by the product of the area of the base and the height.

Therefore, the volume of the prism is x^2 y.

The volume of the box is given to be 150 cubic inches.

Hence,x^2 y = 150.

Also, the height of the box (y) is times the base length of the box (x).i.e y = 3x.

Hence,x^2 (3x) = 1503x³ = 150x³ = 50x = 50³√1/3 = 3.684.

The length of the box is x = 3.684 inches (approx).

The height of the box is y = 3x = 3(3.684) = 11.052 inches (approx).

The height of the box is 11.052 inches and the length of the box is 3.684 inches.

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If by "reciprocal parent function" you mean \(f(x)=\frac{1}{x}\) then stretch by 3 in ordinate direction (y-axis) is \(g(x)=3f(x)\).

Hope this helps.

John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.

John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.

We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:

S(t) = k * N(t)

where k is a constant of proportionality.

We need to find the value of k to determine John's savings amount at any given time.

Using the initial values, we can substitute t = 0 and t = 1 into the equation above:

S(0) = k * N(0)  =>  $1,000 = k * $24,000  =>  k = 1/24

Now we have the value of k, and we can write John's savings amount as a function of time:

S(t) = (1/24) * N(t)

Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:

N(t) = $24,000 - S(t)

Substituting the expression for N(t) into the equation for S(t), we get:

S(t) = (1/24) * ($24,000 - S(t))

Simplifying the equation, we have:

24S(t) = $24,000 - S(t)

25S(t) = $24,000

S(t) = $24,000 / 25

Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.

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The average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations, have been computed.

To calculate the average sales quantities for the year before and after the given year, we need the following information: customer names, product names, quarters (1-4), and years. Let's assume we have a dataset containing this information.

1. Year before: To calculate the average sales quantity for the year before the given year, we subtract 1 from the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

2. Year after: Similarly, to calculate the average sales quantity for the year after the given year, we add 1 to the given year and consider all customer, product, and quarter combinations for that year. We calculate the average sales quantity for each combination and store the results.

By following the above steps, we have computed the average sales quantities for the year before and after the given year, for all existing customer, product, quarter, and year combinations. This information can provide valuable insights into sales trends and help businesses make informed decisions regarding inventory management, customer targeting, and forecasting.

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Answer:

All given information leads to conclusion described on statement. (\(QR = RS\))

Step-by-step explanation:

The strategy of problem consist in make a mathematical demonstration from given information. There are two assumptions: i) \(R\) is a point of segment \(QS\) and ii) \(R\) is the midpoint of \(QS\). We proceed to perform the demonstration:

1) \(R\in QS\), \(R\) is the midpoint of \(QS\). Given.

2) \(Q - R = R -S\) Definition of midpoint.

3) \(QR = RS\) Definition of segment/Result.

All given information leads to conclusion described on statement. (\(QR = RS\))

Answer:

RoC is 0.75 (3/4); Equation is y=0.75x \((y=\frac34 x\))

Step-by-step explanation:

You can easily spot that first column, x increases by 1 each line, while the second, y, increases by 0.75.

Rate of change is variation in y divided by the variation in x, or \(\Delta y \over \Delta x\) . Replacing with the value we found, we get that the rate of change is \(\frac{0.75}{1}\) or \(\frac34\).

To find the equation the easiest way is to go back 4 steps, at the same rate of change, in order to find what's the value for x=0. Going back by 0.75 each step starting from 4, we obtain 2.25, 1.5, 0.75, and finally 0. Our equation becomes\(y=0.75x\)

Answer:

3

Step-by-step explanation:

The property of binomial distributions is that the sum of the probabilities of successes and failures is always 1.

The correct statement is: "The sum of the probabilities of successes and failures is always 1." In a binomial distribution, each trial has only two possible outcomes, typically labeled as success and failure. The sum of the probabilities of these two outcomes is always equal to 1. This property ensures that the probabilities are mutually exclusive and exhaustive, covering all possible outcomes for each trial.

The statement "All trials are dependent" is incorrect. In a binomial distribution, each trial is assumed to be independent of the others, meaning the outcome of one trial does not affect the outcomes of subsequent trials.

The statement "The expected value is equal to the number of successes in the experiment" is not necessarily true. The expected value of a binomial distribution is equal to the product of the number of trials and the probability of success.

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The inequalities together represent all possible combinations of hamburgers and hot dogs the sponsors should prepare each day will be:

x + y ≤ 100 and x ≥ 2y.

Let's use x to represent the number of hamburgers and y to represent the number of hot dogs. Based on the given information, we can write the following system of inequalities:

x + y ≤ 100 (The total number of hamburgers and hot dogs sold should not exceed 100 per day.)

x ≥ 2y (The number of hamburgers sold should be at least twice the number of hot dogs sold.)

These two inequalities together represent all possible combinations of hamburgers and hot dogs the sponsors should prepare each day.

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We need to find how much water Ella needs to make the different concentrations of syrups. The solution will be for 1.5%, we need 32.83 lbs of water.

The percentage in the concentration tells us how much in the mixture is sugar.

So for example, in the 50% syrup, we have a 50% of sugar, meaning that half of it is sugar, and we have 0.5 lbs of sugar, so we need to add the same amount of water, 0.5 lbs of water.

For the 1.5% syrup, this will be:

= (0.5 - 0.5 × 0.015) / 0.015

= 32.83 lbs

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Complete question

Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will have in each case.  1.5% syrup?

Answer:

1. To make a bell curve (a normal distribution) with a mean of 41 and a standard deviation of 5, we can use the following values on the x-axis:

x = 21, 26, 31, 36, 41, 46, 51, 56, 61

These values are symmetric around the mean of 41, and each value is one standard deviation away from the mean.

On the y-axis, we can mark the percentage of people in each interval, which is calculated using the area under the curve. The total area under the curve is 100%.

2. To find the percentage of people who were below 31 years old, we need to calculate the area under the curve to the left of x = 31. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.0228, or 2.28%.

So, about 2.28% of people were below 31 years old.

3. To find the percentage of people who were above 31 years old, we can subtract the percentage of people below 31 years old from 100%.

100% - 2.28% = 97.72%

So, about 97.72% of people were above 31 years old.

4. To find the percentage of people between 41 and 46 years old, we need to calculate the area under the curve between x = 41 and x = 46. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.3413, or 34.13%.

So, about 34.13% of people were between 41 and 46 years old.

5. To find the percentage of people older than Kip (who is 38 years old), we need to calculate the area under the curve to the right of x = 38. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.6306, or 63.06%.

So, about 63.06% of people were older than Kip.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5/6)(5/6) (-5/6)(5/6)

(5/6)(-5/6) (-5/6)(-5/6)  they  are they same but  you can also change them  and they will  still be the  same just backwords

Hope that helps

Answer:

13 inches

Step-by-step explanation:

In any circle, the radius is always half of the diameter.

So, the diameter can be found by multiplying the radius by 2, and the radius can be found by dividing the diameter by 2.

Since the diameter is 26 inches, we can divide this by 2 to get the radius

26/2

= 13

The radius is 13 inches

Answer:

\( \bf \huge13\)

Step-by-step explanation:

we know that,

finding the radius

⟼ diameter = 26 inches

⟼ radius = diameter / 2

⟼ radius = 26 / 2 inches

⟼ radius = 13 / 1 inches

⟼ radius = 13 inches.

∴ radius is 13 inches .

Answer:

Step-by-step explanation:

Given parameters:

Time of going out = 12:15pm

Amount spend on two books  = $42.20

Amount spend toys = $5.67

Time of arrival  = 1:00pm

The amount Sarah spent on each of the two books;

      = \(\frac{total amount spent on the books }{number of books}\)

Amount spent on each books  = \(\frac{42.20}{2}\)   = $21.1 per book

The relevant information to solve this problem are the number of books and the cost of the book.

The answer is 427.7

To find the volume of a pyramid with a square base of side 8 and a height of 20, we need to follow these steps:

Step 1: Identify the formula for the volume of a pyramid. The formula is V = (1/3)Bh, where V is the volume, B is the area of the base, and h is the height.

Step 2: Calculate the area of the square base. Since the base is a square with a side length of 8, its area is 8 x 8 = 64 square units.

Step 3: Plug the values into the formula. Using the area of the base (B = 64) and the height (h = 20), we can now find the volume: V = (1/3)(64)(20).

Step 4: Calculate the volume. V = (1/3)(64)(20) = 64/3(20) = 1280/3 cubic units.

So, the volume of the pyramid is 1280/3 cubic units.

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To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.

Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.

Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.

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When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.

The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.

To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.

Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.

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Given:

(-10, 2) & (-5, -1)

Add x values separately; add y values separately:

(-15, 1)

Divide x and y values by 2:

(-7.5, 0.5); midpont

Answer:

(- 7.5, 0.5)

Step-by-step explanation:

Hope this helps

Answer: The expression 6xy - 3xy can be simplified to 36 if x = 3 and y = 4.

Step-by-step explanation:

First let's simplify the problem.

6xy - 3xy = 3xy

3xy

Now let's substitute x for 3 and y for 4.

3 x 3 x 4

Finally, let's solve using the associative property!

  (3 x 3) x 4

= 9 x 4

= 36

  3 x (3 x 4)

= 3 x 12

= 36

The expression 6xy - 3xy can be simplified to 36.

Answer:

270

Step-by-step explanation: multiply  20.00 * 12 +30

did it help

It is the distributive property.

Answer:

1/243

Step-by-step explanation:

When you see this notation, it means plug in -1 for x in the function.

f(-1) = 3^((-1)-4)

f(-1) = 3^-5

f(-1) = 1/3^5

f(-1) = 1/243

Step-by-step explanation:

substitute (-1)

\( {3}^{x} - 4 \\ {3}^{ - 1} - 4 = \frac{1}{3} - 4 = - \frac{11}{3} = - 3.667\)

Jane is 8 13/40 inches tall

Given the following:

If Nancy is 1 3/8 inches taller than Matt, hence;

if Jane is 1 1/5  inches taller than Nancy, then the height of Jane will be;

Hence Jane is 8 13/40 inches tall

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Pattern: The pattern is to start with the number 2 and repeatedly multiply each number by 2 and then add 1 until we have a sequence of 5 numbers.

Start with the number 2.

Multiply the starting number by 2: 2 * 2 = 4.

Add 1 to the result from step 2: 4 + 1 = 5. We now have the first number in our sequence.

Multiply the previous number (5) by 2: 5 * 2 = 10.

Add 1 to the result from step 4: 10 + 1 = 11. We now have the second number in our sequence.

Repeat the process: multiply the previous number by 2 and then add 1.

Multiply the previous number (11) by 2: 11 * 2 = 22.

Add 1 to the result from step 6: 22 + 1 = 23. We now have the third number.

Repeat steps 6 and 7 two more times to obtain the fourth and fifth numbers:

Fourth number: (23 * 2) + 1 = 47.

Fifth number: (47 * 2) + 1 = 95.

Thus, the pattern generates the sequence: 2, 5, 11, 23, 47, 95.

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