36) The table below shows the growth rate of a vine over several weeks:
Week
1
3
6
9
11
Length (inches)
5
6
9
11
14
What is the average rate of change from weeks 3 to week 9?
A) 0.83
B) 0.9
C) 1.2
D) 1.1

Answer:

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

each day she cuts 6 trees so the equation would be y=6x

Answer:

Lucia is using 7000 calories per minute

Step-by-step explanation:

1 kcal per hour = 1000 cal per hour = 1000/60 cal per minute

420 kilocalories = 420000 calories

Lucia is using 420000 calories per hour

Lucia is using 420000/60 calories per minute

Lucia is using 7000 calories per minute

Answer:

7000 cal per minute

Step-by-step explanation:

Answer:

7.1 in

Step-by-step explanation:

A triangle adds up to 180 degrees, and we know angle S is 90 degrees, so angle U is 180-90-42=48 degrees.

Using the law of Sines, we can say that

sin(90)/9.5 = sin(48)/ side ST

Thus, side ST = sin(48) * 9.5/sin(90) = 7.1 in

2057 smartphone users bought something after searching for information. The standard error of the proportion (SE) measures variability in the estimated proportion and assesses estimate precision. The standard error of a proportion formula can be used to compute SE. 4024 smartphone users participated in this poll.

The count X is the number of smartphone users who reported purchasing an item after using their smartphones to search for information about it. In this case, X is given as 2057.

To calculate the standard error of the proportion (SE), we need to know the sample size (n) and the proportion (p) of smartphone users who made a purchase after searching for information. The formula for SE of a proportion is:

SE = sqrt((p * (1 - p)) / n)

Since the proportion is not given directly, we can estimate it by dividing X (the count) by the sample size (n):

p = X / n

Substituting the values, we can calculate SE:

SE = sqrt((2057/4024) * (1 - 2057/4024) / 4024)

After performing the calculations, we find that the standard error (SE) is a decimal value. To report it accurately, we round it to three decimal places.

The sample size (n) for this survey is provided in the question as 4024. This represents the total number of smartphone users who participated in the study and responded to the questions.

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Step-by-step explanation:

\((7 \: + \: \sqrt{6} ) ^{2} \)

\((7 + \sqrt{6)} (7 + \sqrt{6} )\)

\(49 + 14 \sqrt{6} + 6\)

\(55 + 14 \sqrt{6} \)

The expanded and simplified answer is 55 + 14√6.

The simplified form can be found by carrying out mathematical operations that are pending in the expression. Like the addition, subtraction, multiplication, or division of any number in the expression.

Given: (7 + √6)^(2)

First, we have to square the expression and expand it.

(a + b)^2 = a^2 +2ab b^2

Similarly we can open the brackets of the given expression:

(7 + √6)^(2) = 49 + 2*7*√6 + 6

= 55 + 14√6

This is similar to the format b+c√6. Here b would be 55 and c would be 14. The given expression was expanded and written in the form of b+c√6.

Therefore, we have expanded and simplified the given expression as 55 + 14√6.

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Answer:

Step-by-step explanation:

The solution is the coordinates of the point (p,n) of intercept of lines described by given equations.

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test. Content validity refers to the extent to which a test accurately measures the specific content or domain it is intended to assess. By involving subject matter experts, who are knowledgeable and experienced in the domain being tested, in the evaluation of each test item, we can gather expert opinions on the relevance, representativeness, and alignment of the items with the intended content. Their input can help ensure that the items are appropriate and adequately cover the content area being assessed, thus enhancing the content validity of the test.

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Y >= 2X - 5

Step-by-step explanation:

yeah-ya..... right?

The half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

The half-life of a radioactive is time for 50% of its particles to decay or disintegrate into a new element. The pace at which a radioactive material will decay is predicted using this indicator of an isotope's stability. An element's half-life, which differs substantially across various elements, is based on the unique characteristics of its nucleus.

For instance, the half-life of uranium-238 is 4.5 billion years whereas that of carbon-14 is 5,730 years. This indicates that half of the carbon-14 atoms in a sample will have decayed after 5,730 years, and half of the uranium-238 atoms will have decayed after 4.5 billion years.

How to solve?

(a) After 3 days, the sample has decayed to 58% of its original amount, which means that half of the original amount has already decayed. Therefore, the half-life of radon-222 is 3 days.

(b) Since the half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

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Answer:

I think the answer could be 7913.3

Step-by-step explanation:

Average speed of the group for the two day event is 0.105 miles\min.

The average is defined as the mean value that is equal to the ratio of the total sum of the number of a given set of values to the total number of values present in that set.

Time taken on day 1 in minutes = 9x60 + 44

                                                   = 540 + 44 = 584 minutes.

Time taken on day 2 in minutes = 2x60 + 55

                                                   = 120 + 55 = 157 minutes

Now we will be applying speed-distance formula we get,

Speed= Distance/time

On day 1,

\(Speed_{1}\)= 28/584 = 0.0479 miles/min

On day 2,

\(Speed_{2}\)= 10/175 = 0.0571 miles/min

Thus,the average speed is:

Average = \(Speed_{1} + Speed_{2}\) = 0.0479 + 0.0571= 0.105 miles/min

Hence,the average speed is 0.105 miles/min

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Answer:

21.8 kilograms

Step-by-step explanation:

If Sara used 780 each day then for 4 weeks she used,

4 weeks = 28 days

\(780 \times 28\)

=21,840 grams

Therefore in kilograms, Sara used

\(21840 \div 1000\)

=21.8 kilograms

The derivative of a function is,

1. f'(x) = 6\(x^{5\) + 18\(x^{3\) - 12x² + 36x - 9, f'(c) = -9.

2. f'(x) = -2 - 2x.

Finding f'(x) and f'(c) for the function f(x) = (x³ + 3x)(2x³ + 4x - 3) when c = 0:

1. To find the derivative f'(x), we can use the product rule of differentiation.

f(x) = (x³ + 3x)(2x³ + 4x - 3)

Applying the product rule, we have:

f'(x) = (x³ + 3x)(6x² + 4) + (3x² + 3)(2x³ + 4x - 3)

Simplifying, we get:

f'(x) = 6\(x^{5\) + 12\(x^{3\) + 6x² + 12x³ + 24x - 18x² + 6\(x^{3\) + 12x - 9

Combining like terms, we have:

f'(x) = 6\(x^{5\) + 18\(x^{3\) - 12x² + 36x - 9

To find f'(c), we substitute c = 0 into f'(x):

f'(c) = 6\((0)^{5\) + 18\((0)^{3\) - 12(0)² + 36(0) - 9

= 0 - 0 + 0 + 0 - 9

= -9

Therefore, f'(x) = 6\(x^{5\) + 18\(x^{3\) - 12x² + 36x - 9, and f'(c) = -9.

Finding the derivative of the function f(x) = 4 - 2x - x²:

2. To find the derivative f'(x), we can use the power rule of differentiation.

f(x) = 4 - 2x - x²

Taking the derivative, we get:

f'(x) = 0 - 2 - 2\(x^{(2-1)\)

To simplify, we have:

f'(x) = -2 - 2x

Therefore, the derivative of f(x) = 4 - 2x - x² is f'(x) = -2 - 2x.

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The variable x has a value of - 6 according to direct variation model.

There are two variables x and y, which are related to direct variation model, whose expression is defined below:

y = k · x

Where k is the constant of proportionality.

If we eliminate the constant of proportionality, then we find the following relationship:

y₁ / x₁ = y₂ / x₂

If we know that x₁ = 3, y₁ = - 9 and y₂ = 18, then the value of x₂ is:

x₂ = x₁ · (y₂ / y₁)

x₂ = 3 · [18 / (- 9)]

x₂ = 3 · (- 2)

x₂ = - 6

The missing value of variable x is - 6.

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Answer:

Scale factor: \(1.33333...=4/3\)

Actual area: \(27\)

Scale drawing area: \(48\)

Ratio of areas: \(16/9\)

Scale factor 2: \(4\)

Scale factor \(1/3\): \(1/9\)

Scale factor \(4/3\): \(16/9\)

Observation: The ratio of the areas of the triangles is the square of the scale factor of the sides

Scale factor \(r\): \(r^2\)

Step-by-step explanation:

The scale factor is \(12/9=8/6=4/3=1.333333...\)

The actual area is \((6*9)/2=54/2=27\)

The scale drawing area is \((12*8)/2=12*4=48\)

Ratio of areas: \(48/27=16/9\)

When the scale factor of the sides was 2, then the value of the ratio of the areas was 4.

When the scale factor of the sides was \(1/3\), then the value of the ratio of the areas was \(1/9\).

When the scale factor of the sides was \(4/3\), then the value of the ratio of the areas was \(16/9\).

Observation: The ratio of the areas of the triangles is the square of the scale factor of the sides.

If the scale factor is \(r\), then the ratio of the areas is \(r^2\), based on the observation.

Extra: Proof of observation.

Let the legs of the actual triangle be \(a\) and \(b\). Then the legs of the scale triangle are \(ra\) and \(rb\), with \(r\) being the scale factor.

The area of the actual triangle is \(ab/2\). The area of the scale triangle is \(ra*rb/2=r^2ab/2\).

The ratio of these areas is \((r^2ab/2)/(ab/2)=r^2ab/ab=\boxed{r^2}\), as desired.

Domain and Range both are real numbers for all odd-degree polynomial functions.

Writing in an Interval Form, note that we use the least value in the left and the most value in the right.

From [a,b], [a,b), (a,b] or (a,b) | a must be less than b.

Therefore, the D choice is wrong in Interval part (However, right in range and domain but just for interval order.)

So the answer is C.

Answer:

the radius equals 30

______

_/2827.43

--------- = 30

3.14

it's the square root of the area (2827.43) divided by pie

Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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Answer:

Yes

Step-by-step explanation:

Answer:

Just push next... also the next question is -

Which of the following statements is true when comparing numbers using a number line?

The number closest to zero is always the least.

The number farthest from zero is always the greatest.

The number farthest right is always the least.

The number left is always the least.

YOUR ANSWER IS

D. The number left is always the least.

Your welcome peoples

the dimensions of the rectangle are L = 15 inches and W = 15 inches, and the minimum perimeter is:    P = 2L + 2W = 60 inches.

Let the length and width of the rectangle be L and W, respectively, so that the area of the rectangle is A = LW = 225. We want to find the dimensions of the rectangle with minimum perimeter P = 2L + 2W, and then find the minimum perimeter.

Using the given area, we can solve for one of the variables in terms of the other:

L = 225/W

Substituting this expression for L into the expression for the perimeter, we get:

P = 2(225/W) + 2W

Taking the derivative of P with respect to W and setting it equal to zero to find the minimum, we get:

\(dP/dW = -450/W^2 + 2 = 0\)

Solving for W, we get:

W^2 = 225

Since W must be positive (it is a length), we take the positive square root:

W = 15

Substituting this value of W back into the expression for L, we get:

L = 225/W = 15

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Answer:

{-10, 10)

Step-by-step explanation:

| | - means to only take the number inside, not the sign

x=-10 or 10

Answer:

i dont understand what you want me to answer

Step-by-step explanation:

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

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We can make 3 loaves of bread with 1 2/3 pounds of dough.

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To find out how many loaves of bread can be made, we need to divide the total amount of dough by the amount of dough needed for each loaf.

The bucket contains 1 2/3 pounds of dough, which we can rewrite as an improper fraction:

1 2/3 = (3 x 1 + 2)/3 = 5/3

So, the bucket contains 5/3 pounds of dough.

Each loaf requires 4/5 of a pound of dough.

To find the number of loaves that can be made, we need to divide the total amount of dough by the amount of dough per loaf:

Number of loaves = Total amount of dough / Amount of dough per loaf

Number of loaves = (5/3) / (4/5)

To divide by a fraction, we can multiply by its reciprocal:

Number of loaves = (5/3) x (5/4)

Number of loaves = 25/12

Since we cannot make a fraction of a loaf, we need to round the result up to the nearest whole number.

Therefore,

We can make 3 loaves of bread with 1 2/3 pounds of dough.

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Answer:

slope is 2   y intercept 7

Step-by-step explanation:

The y intercept is the value when x =0

(0,7) means the y intercept is 7

We can find the slope using

m = (y2-y1)/(x2-x1)

m = ( 11-9)/(2-1)

   = 2/1

  = 2  

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:

Below

Step-by-step explanation:

To find the number of games g that the team could lose and still be eligible for the playoffs, we can write the inequality:

g / 18 ≤ 40%

g / 18 ≤ 0.4

g ≤ 7.2

We can round down to 7 to get the maximum number of games the team could lose and still be eligible for the playoffs.

If the baseball team loses 8 of its remaining games, they will not advance to the playoffs. This is because 8 is greater than the maximum number of games they could lose and still be eligible for the playoffs, which is 7.

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Answer:

c. 34

Step-by-step explanation:

1) Add all the given prices on each day.

= 42.80 + 64.20 + 74.90

= 181.90

2) Set up an equation since we do not know how many magazine subscriptions she sold, but we know how much money she made.

Let x = number of magazine subscriptions sold

5.35x = 181.90

x = \(\frac{181.90}{5.35}\)

x = 34

Answer:

0

Step-by-step explanation:

because they are heading in the same direction