Mary's job is to package kleenex boxes to ship out to sell at stores. the company
wants to be more mindful of optimizing the amount of items they fit in each larger
shipping box. the larger box she is shipping the kleenex in is a cube with side
lengths of 4 feet. if each individual kleenex box is a cube with side lengths of 3
inches, how many kleenex boxes can she package into the larger box?
insaved

Based on the numerical estimation and visual observation, we can conclude that the limit of sin(9x)/x as x approaches 0 exists and is approximately 5.837.

To estimate the limit numerically, we can evaluate the expression limx→0 sin(9x)/x by plugging in values of x that approach 0.

As x approaches 0, the expression sin(9x)/x approaches an indeterminate form of 0/0. This indeterminate form indicates that further evaluation is required to determine the actual limit.

Let's calculate the values of the expression sin(9x)/x for some values of x approaching 0:

x = 0.1: sin(9(0.1))/(0.1) = 0.58779/0.1 = 5.8779

x = 0.01: sin(9(0.01))/(0.01) = 0.058368/0.01 = 5.8368

x = 0.001: sin(9(0.001))/(0.001) = 0.005837/0.001 = 5.837

As we can see, as x gets closer to 0, the value of sin(9x)/x approaches approximately 5.837. This suggests that the limit of the expression as x approaches 0 is approximately 5.837.

To further support this estimation, we can also use a graphing calculator or software to plot the function sin(9x)/x and observe its behavior as x approaches 0. The graph will show that the function approaches a value close to 5.837 as x approaches 0.

It is important to note that this numerical estimation does not provide a rigorous proof of the limit. To formally prove the limit, additional mathematical techniques such as L'Hôpital's rule or trigonometric identities would need to be employed.

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Answer:

15&25

Step-by-step explanation:

umm 5,10,15,20,25

25*2=50???

not for sure on it but maybe?

Answer:

Because it goes by 5 each time, I presume the numbers 15 and 25 are the answers. Then 25 is multiplied by two, yielding 50.

Step-by-step explanation:

So, there are the answers, I believe. There was not a lot of information on the problem here.

The correct formula for the general term of the arithmetic sequence representing the cost of the venue hire and catering for n guests is 1950 + 100n.

To find the formula for the general term of the arithmetic sequence representing the cost of the venue hire and catering for n guests, we can analyze the given information.

We are given two data points: the cost for 50 guests, which is $6,950, and the cost for 100 guests, which is $11,950. We can observe that the difference between these two costs is $11,950 - $6,950 = $5,000.

Since the cost forms an arithmetic sequence, the difference between consecutive terms will remain constant. In this case, the difference is $5,000.

Now, we need to find the initial term of the sequence. By examining the cost for 50 guests, we notice that the difference between the cost for 50 guests and the initial term is $6,950 - $5,000 = $1,950.

Putting it all together, we have the formula for the general term of the arithmetic sequence: initial term + (difference × (n - 1)).

Plugging in the values, the formula becomes: 1,950 + (5,000 × (n - 1)) = 1,950 + 5,000n - 5,000 = 5,000n - 3,050. Simplifying further, we get the final formula: 5,000n - 3,050.

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The example that is not an example of instrumental (operant) conditioning is option a.

When Raluca's teacher praises her in class for her fine oral description of a mathematical problem, and Raluca becomes embarrassed and vows never to act so smart in front of her friends again.

Instrumental conditioning, also known as operant conditioning, involves the association between a behavior and its consequences, which in turn influences the likelihood of that behavior recurring in the future. In instrumental conditioning, behaviors are strengthened or weakened based on the consequences they produce.

Option b, c, and d all demonstrate instrumental conditioning. In option b, Diallo changes the time of day he does his homework and finds that he is doing better, so he continues to do his homework at that new time. This shows that the behavior of doing homework at the new time is reinforced by the positive consequence of doing better.

In option c, Danny tells a funny joke, and his classmates' laughter serves as a positive consequence that reinforces his behavior of telling jokes. This leads to an increase in the behavior of telling jokes, and Danny becomes the class clown.

In option d, Michelle discovers that she can leave her mathematics class early by complaining about a stomachache. By receiving the positive consequence of leaving early, her behavior of complaining about a stomachache is reinforced, leading to an increase in the occurrence of this behavior.

However, in option a, Raluca's embarrassment and her decision to not act smart in front of her friends again are not consequences that reinforce or strengthen her behavior. Instead, her embarrassment leads to the avoidance of the behavior, suggesting that this example is not an illustration of instrumental conditioning.

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A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.

It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.

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Answer-

Total kicks that were attempted = 40

Explanation

Goals blocked by Kyra = 55%;

Goals which could not be blocked by Kyra = 100 - 55 = 45%

Goals made during team drill = 18

Let total kicks attempted be 'n';

Therefore;

(18/n) × 100 % = 45 %

18/n = 45/100;

n = 1800/45;

n = 40

The time period "percentage" is derived from the Latin per centum, which means "hundred" or "with the aid of the hundred".[5][6] The sign for "percentage" evolved via gradual contraction of the Italian term in line with cento, which means "for 100". The "according to" turned into regularly abbreviated as "p."—subsequently disappeared completely. The "cento" was reduced in size to two circles separated through a horizontal line, from which the present day "%" image is derived.

In mathematics, a percentage (from Latin: in line with centum, "by a hundred") is quite a number or ratio expressed as a fraction of 100. it's miles often denoted using the percentage signal, "%",[1] although the abbreviations "pct.", "pct" and sometimes "pc" also are used.[2] A percentage is a dimensionless number (natural wide variety); it has no unit of size.

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X be a random variable that is equal to the number of heads in two flips of a fair coin. Then: E[X²] = 6.

And  E²[X] = 16.

To calculate E[X²], we need to find the expected value of X squared. We can do this by calculating the weighted average of X² over all possible outcomes.

Given the distribution of X:

P(X = TT) = 1

P(X = TH) = P(X = HT) = 1

P(X = HH) = 1

We can calculate E[X²] as follows:

E[X²] = (X²(TT) × P(X = TT)) + (X²(TH) × P(X = TH)) + (X²(HT) × P(X = HT)) + (X²(HH) × P(X = HH))

Substituting the given values:

E[X²] = (0²× 1) + (1² × 1) + (1² × 1) + (2² × 1)

      = 0 + 1 + 1 + 4

      = 6

Therefore, E[X²] = 6.

To calculate E²[X], we need to find the expected value of X and then square it.

Given the distribution of X:

P(X = TT) = 1

P(X = TH) = P(X = HT) = 1

P(X = HH) = 1

We can calculate E[X] as follows:

E[X] = (X(TT) × P(X = TT)) + (X(TH) ×P(X = TH)) + (X(HT) ×P(X = HT)) + (X(HH) × P(X = HH))

Substituting the given values:

E[X] = (0 × 1) + (1 × 1) + (1 × 1) + (2 × 1)

     = 0 + 1 + 1 + 2

     = 4

Now, we can calculate E²[X]:

E²[X] = (E[X])²

      = 4²

      = 16

Therefore, E²[X] = 16.

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Answer:

number 1, answer x-4.

Step-by-step explanation:

Firstly, you group like terms like

2x-2x-2+6

=x-4

Answer:

8x^2 - 2xy + 3y^2

Step-by-step explanation:

Use the FOIL method

8x^2 + 4xy - 6xy + 3y^2

8x^2 - 2xy + 3y^2

Answer:

x = 4

Step-by-step explanation:

all angles in triangle add to 180

90+70=160

180-160=20

20÷5=4

Answer:

The other brother bought 6

Step-by-step explanation:

10 books in total

4 books bought by one brother

10 - 4 = 6

Answer:

2b+4b=10b  the other brother bought 6 books.

Since we already know how many the other brother bought, we don't need to find that information.

Step-by-step explanation:

2b+4b=10b

combine like terms and subtract.

6b=10b

=4b

(hope this is correct.)

The number of red car altogether is 34

The number of blue cars altogether is 36

The  number of silver car altogether 70

The car manufacturer has parked some cars in 2 car parks .

The first car park has 60 cars.

In the ratio 1 :2:3

Therefore,

red car = 1 / 6 × 60 = 10 cars

blue car = 2 / 6 × 60 = 20 cars

Silver car = 60 - 30 = 30 cars

The second car park has 80 cars.

The ratio are

In the ratio 3:2 5

Therefore,

red cars = 3 / 10 ×80 = 24

blue cars = 2 / 10 × 80 = 16

silver cars = 5 / 10 × 80 = 40

Therefore,

The number of red car altogether is 24 + 10 = 34 red car

The number of blue cars altogether is 20 + 16 = 36 blue cars

The  number of silver car altogether is 30 + 40 = 70 silver cars

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Answer:

The rate of Trip 2 is 5  km/h.

The time of Trip 1 is 0.9-x hours.

Step-by-step explanation:

right on edg 2020

The most likely to generalize to it's population of interest is a stratified random sample of 120

a stratified random sample 120

Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members’ shared attributes or characteristics, such as income or educational attainment. Stratified random sampling has numerous applications and benefits, such as studying population demographics and life expectancy.

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In order to find if the triangle is acute, right or obtuse, we need to compare the square of the bigger side (a) with the sum of squares of the other sides (b and c):

If a² > b² + c², the triangle is obtuse.

If a² = b² + c², the triangle is right.

If a² < b² + c², the triangle is acute.

So we have:

The triangle is obtuse, therefore the correct option is B.

Answer:

275%

Step-by-step explanation:

Answer:

1115.8

Step-by-step explanation:

SOLUTION:

Step 1:

In this question, we are given the following:

A pancake recipe asks for one and one-half times as much milk as flour.

If three and one-half cups of milk are used, what quantity of flour would then be needed, according to the recipe?

Step 2:

The details of the solution are as follows:

The pancakes require 1.5 cups of milk and 1 cup of flour or a ratio of 1.5:1 or a fraction of

(1.5) / (1)

If you have 3.5 cups of milk you need x cups of flour

Set up a ratio of 1.5 / 1 = 3.5 / x

(1.5 divided by 1 equals 3.5 divided by x)

Cross multiply one numerator by the other denominator, and then the other way.

1.5x = 3.5

divide both sides by 1.5

x = 35/15 = 2 1/3 cups

CONCLUSION:

The quantity of flour that would be needed, according to the recipe =

To answer this we have to draw a number line:

To calculate the change in temperature we have to subtract the final temperature to the initial temperature:

13 - (-4)= 3+4 = 17

The degree change in temperature change is 17 F

Answer: 16

Step-by-step explanation: 16%x1=.16 meters, then multiply by 100 to get 16 centimeters.

a. The mass remaining after t years, 130 is the initial mass, and 30 is the half-life of cesium-137.

b.  About 19.35 mg of the sample will remain after 100 years.

c.  After about 330 years, only 1 mg of the sample will remain

(a) The mass remaining after t years can be found using the formula:

\(y(t) = 130 * 2^(-t/30)\)

where y(t) represents the mass remaining after t years, 130 is the initial mass, and 30 is the half-life of cesium-137.

(b) To find how much of the sample remains after 100 years, we can substitute t = 100 into the formula:

\(y(100) = 130 * 2^(-100/30) = 19.35 mg\)

Therefore, about 19.35 mg of the sample will remain after 100 years.

(c) We need to solve the equation y(t) = 1 for t. Substituting y(t) and solving for t, we get:

\(1 = 130 * 2^(-t/30)\)

\(2^(-t/30) = 1/130\)

\(-t/30 = log2(1/130)\)

\(t = -30 * log2(1/130) = 330 years\)

Therefore, after about 330 years, only 1 mg of the sample will remain.

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a) The decay of cesium-137 can be modeled by the function \(y(t) = 130 * 2^{(-t/30)\)

b) after 100 years, only about 31.57 mg of the sample remains.

c) after about 207.1 years, only 1 mg of the sample will remain.

(a) The decay of cesium-137 can be modeled by the function \(y(t) = 130 * 2^{(-t/30)\), where t is the time in years and y(t) is the remaining mass of the sample in milligrams.

To find the mass that remains after t years, we simply plug in the value of t into the function:

\(y(t) = 130 * 2^{(-t/30)\)

(b) To find the amount of the sample that remains after 100 years, we plug in t = 100:

\(y(100) = 130 * 2^{(-100/30)\) ≈ 31.57 mg

So after 100 years, only about 31.57 mg of the sample remains.

(c) To find the time it takes for only 1 mg to remain, we set y(t) = 1 and solve for t:

\(1 = 130 * 2^{(-t/30)}\\\\2^{(-t/30)} = 1/130\)

Taking the natural logarithm of both sides, we get:

\(ln(2^{(-t/30)}) = ln(1/130)\)

Using the logarithmic identity \(ln(a^b) = b * ln(a)\), we can simplify the left side:

(-t/30) * ln(2) = ln(1/130)

Solving for t, we get:

t = -30 * ln(1/130) / ln(2) ≈ 207.1 years

So after about 207.1 years, only 1 mg of the sample will remain.

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Answer:

x=1/4

Step-by-step explanation:

4(1/4)=1

1/3=1/3

Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

4(y-3)

4y-12

I hope this helped.

Answer: Answer is in the steps

Step-by-step explanation:

The perfect square that is less than 15 is  9 and greater 15  is 16  and the square root of 15  falls between 3 and 4 because 3 times 3 is 9 and 4 times 4 is 16.

   First row:      9 < 15 < 16

 Second row   \(\sqrt{9} < \sqrt{15} < \sqrt{16}\)  

Third row ;        3 < \(\sqrt{15}\)  < 4

The prevalence rate per 100,000 is 99.8%

We know that the prevalence rate is the proportion of persons in a population who have a particular disease over a specified period of time.

In this question, we have been given a data on breast cancer for the past year:

number of new cases: 1,774;

number of total cases: 4,192;

population: 5,977,906

We need to find the prevalence rate per 100,000

The total number of infected people = 1,774 + 4192

                                                             = 5966

Chance of infection in the whole population would be,

5,977,906/ 5966 ≈ 1002

This means, chances of having breast cancer is 1 in every 1002 people.

A prevalence rate is calculated by dividing total number of infected people by the total population. The result is then multiplied by 100,000

Now we calculate the prevalence rate per 100,000

= (5966 / 5,977,906) × 100,000

= 0.000998 × 100,000

= 99.8 %

Therefore, the prevalence rate per 100,000 is 99.8%

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The integral of 17/√x (5-2√x) dx is 17(5√x - x) + C.

To find the integral of the given function 17/√x (5-2√x) dx, we will use the substitution method for integration.

1. First, let u = √x. Then, x = u² and du = (1/2) * (1/√x) dx.

2. Next, substitute u into the function and the dx term:
  ∫17/u (5-2u) ((2du)).

3. Simplifying the expression:
  ∫17(5-2u) du.

4. Now, we integrate the simplified function with respect to u:
  ∫17(5-2u) du = 17∫(5-2u) du.

5. Performing the integration:
  17(5u - u²) + C, where C is the constant of integration.

6. Finally, substituting back the original variable x:
  17(5√x - (√x)²) + C.

The integral of the given function 17/√x (5-2√x) dx is equal to 17(5√x - x) + C.

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Using linear functions, it is found that both people are paid the same.

A linear function is modeled by:

y = mx + b

In which:

For Bob, we have that that the intercept is of 30000, with a slope of $600, hence his salary after x years is given by:

B(x) = 30,000 + 600x.

For Sue, we have that that the intercept is of 2 x 15000 = 30000, which is the fixed yearly salary with a slope of 2 x 300 = $600, hence her salary after x years is given by:

S(x) = 30,000 + 600x.

The salaries are equal, that is, both people are paid the same.

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Answer:

x=21.7

Step-by-step explanation:

cos ø=adjacent/hypotenuse

cos37°=17.3/hypotenuse

hypotenuse=17.3/cos 37°

hypotenuse=21.66

Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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