67min; 1.1h. Which one is more precise

Answer:

slope={-8-7}/{5--4)=-15/9=-5/3

we use - × -=+

The quadratic function d = 0.0515r² + 1.1r equations graphed and attached

The equation plotted is

d = 0.0515r² + 1.1r

The key features includes

a. The graph open upwards: This is so since the quadratic term"r²" of the equation does not have a negative sign

b. The vertex of the quadratic equation is the lowest part of the graph which is (-10.7, 5.9)

c. the intercepts

the x-intercept or the roots are (-21.4, 0) and (0, 0)

the y-intercepts is (0, 0)

d. axis of symmetry

The symmetry is at x = -b/2x = -1.1(2 * 0.0515) = -10.68

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If the contribution margin from the order is greater than the additional fixed expenses, accepting the special order can result in an increase in operating income.

When evaluating a special sales order, the first step is to calculate the revenue from the order. This is typically based on the selling price and the quantity of units to be sold. Then, the variable expenses directly associated with fulfilling the order, such as direct materials, direct labor, and variable manufacturing overhead, are deducted from the revenue to determine the contribution margin.

Next, the additional fixed expenses that would be incurred if the special order is accepted need to be considered. These expenses are typically costs that are directly related to the production or fulfillment of the order and are not already included in the existing fixed expenses.

To assess the impact of the special order on operating income, the increase (or decrease) in operating income is calculated by subtracting the additional fixed expenses from the contribution margin. If the result is positive, it indicates that accepting the special order would lead to an increase in operating income.

In the given scenario, it is mentioned that Cotton has excess capacity to manufacture the special order. If the incremental analysis shows that the special order would result in a positive increase in operating income, it would be beneficial for Cotton to accept the special sales order.

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variables having the highest correlation are -

A strong correlation, also known as a high correlation, indicates that two or more variables have a significant link with one another, whereas a weak or low correlation indicates that the variables are rarely associated. The process of examining the strength of such association with the use of available statistical data is known as correlation analysis.

Out of the four measures in the survey, which two variables have the highest correlation?

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The true statements from the options provided are:

A. The product Ax is defined as a linear combination of columns of A with the corresponding entries of x as weights.

D. The product Ax is a vector in \(R^n\).

E. Ax is a vector whose ith entry is the sum of the products of the corresponding entries from row i of A and the vector x.

A linear combination in mathematics is an expression created from a group of terms by multiplying each component by a constant and combining the results (for example, an expression of the form axe + by, where a and b are constants, would be a linear combination of x and y).

The true statements from the options provided are:

A. The product Ax is defined as a linear combination of columns of A with the corresponding entries of x as weights.

D. The product Ax is a vector in \(R^n\).

E. Ax is a vector whose ith entry is the sum of the products of the corresponding entries from row i of A and the vector x.

These statements accurately describe properties and definitions related to matrix-vector multiplication. The product Ax is obtained by taking a linear combination of the columns of A, where the entries of x act as weights. The resulting product Ax is a vector in \(R^n\), and its entries are calculated by summing the products of the corresponding entries from row i of A and the vector x.

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The age of a meteor with a 238U / 206Pb ratio of 1/3 can be determined using the half-life of 238U (4.5 billion years), giving an age of 4.5 billion years. Non-radiogenic 206Pb in the sample would affect the age estimate.

The decay of 238U to 206Pb is an example of radioactive decay, where the parent isotope (238U) decays into a daughter isotope (206Pb) over time. The half-life of 238U is 4.5 billion years, which means that half of the original amount of 238U will decay into 206Pb after 4.5 billion years.

Suppose we start with a sample of meteor that has a 238U / 206Pb ratio of 1/3. This means that for every 1 atom of 238U, there are 3 atoms of 206Pb in the sample. Let's assume that all of the 206Pb in the sample is due to the decay of 238U.

After one half-life of 238U, half of the 238U in the sample will have decayed into 206Pb, and the ratio of 238U / 206Pb will be 1/6 (since we started with 1/3 and one half-life has passed). After two half-lives, three-quarters of the 238U will have decayed into 206Pb, and the ratio of 238U / 206Pb will be 1/11 (since there are now 1 atom of 238U for every 11 atoms of 206Pb).

To determine the age of the sample, we can use the formula for radioactive decay:

N(t) = N0 * (1/2)^(t/T)

where N(t) is the number of radioactive atoms remaining at time t, N0 is the initial number of radioactive atoms, T is the half-life, and t is the time that has elapsed.

In this case, we can use the ratio of 238U / 206Pb to calculate the initial number of 238U atoms, since we know that there are 3 atoms of 206Pb for every 1 atom of 238U in the sample. Let N0 be the initial number of 238U atoms, then we have:

N0 / (3N0) = 1 / 3

Solving for N0, we get:

N0 = 3

Using the formula for radioactive decay, we can solve for the age of the sample:

N(t) / N0 = (1/2)^(t/T)

Substituting the given values, we have:

1/2 = (1/2)^(t/4.5x10^9)

Solving for t, we get:

t = 4.5 billion years

Therefore, the age of the sample is 4.5 billion years.

If the meteor originally contained some 206Pb from a source other than radioactive decay, this would affect our age estimate because we assumed that all of the 206Pb in the sample was due to the decay of 238U. If there was some non-radiogenic 206Pb in the sample, then the amount of 238U that had decayed would be overestimated, leading to an age estimate that is too old. To account for this, we would need to measure the amount of non-radiogenic 206Pb in the sample and subtract it from the total amount of 206Pb to get the radiogenic component due to the decay of 238U.

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The volume of the air space surrounding the cone inside the cylinder is 1055.04 cm³

The volume of the air space surrounding the cone inside the cylinder is as follows:

volume of the air space = volume of cylinder - volume of a cone

volume of cylinder = πr²h

volume of cylinder = π16 × 5²

volume of cylinder = 400π

volume of the cone = 1 / 3 πr²h

volume of the cone = 1 / 3 × π × 12 × 4²

volume of the cone = 64π

Therefore,

volume of the air space = 400π - 64π

volume of the air space = 336π

volume of the air space = 1055.04 cm³

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Question :

Justin, Cam, and Ben are playing a board game where exactly one player will win. Ben estimates that Justin has a 20%, percent chance of winning each game and that Cam has a 50%, percent chance of winning each game. What is the probability that Ben will win the board game?

Answer: 30%

Step-by-step explanation:

Given the following :

Justin's chance of winning each game = 20%

Cam's chance of winning each game = 50%

Therefore, probability of :

Justin winning = 20/100 = 0.2

Cam winning = 50/100 = 0.5

Overall probability = 100% = 1

Therefore,

P(Justin winning) + P(Cam winning) + P(Ben winning) = 1

0.2 + 0.5 + P(Ben winning) = 1

P(Ben winning) = 1 - 0.7

P(Ben winning) = 0.3

0.3 = 30%

Answer:

The answer is false.

Step-by-step explanation:

To solve this problem, we first need to change the fractions to improper fractions.

-8/3+6=6/5

Next, we simplify.

-8/3+6=10/3

10/3=6/5

This equation is false because 10/3 does not equal 6/5.

Answer:

279.987

this is da answer

Step-by-step explanation:

There are 280.035 lbs in 127 kilograms. The answer is obtained by applying the unit conversion.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

Now,

we have been given 127 kilograms which are to be converted into pounds and to be represented in lbs.

We know that 1 kilogram = 2.205 lbs (approx)

Therefore,

⇒127 kilograms = 127 * 2.205

⇒127 kilograms = 280.035 lbs

Hence,

          There are 280.035 lbs in 127 kilograms.

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Answer:

125

Step-by-step explanation:

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125  Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

The value of y is 125 when x is 1.

Write the function y as a function of x, i.e., y = f(x), and then solve for x as a function of y, to determine the inverse of a function.

y = 1k/x^3  I am trying to find the constant k.  I will use the information that I have been given to find k

1 = k/5^3

1 = k/125

Multiply both sides by 125

125 = k

Now, we will find y when x = 1

y = 125/1^3

y = 125

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18 percent are shaded 18/100 is .18, 18 percent

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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4

cause then 12-6=6

You do parenthesis first and get six, then you subtract

Answer:

B i think

Step-by-step explanation:

Sorry if wrong

ANSWER:

True

STEP-BY-STEP EXPLANATION:

When the function is multiplied by - there is a reflection in the x-axis.

If the number is greater than one there is a vertical stretch but if it is between 0 and 1 there is a vertical compression.

7/3 is a number greater than one, so there is vertical stretch.

Which means that the statement is true.

Answer:

Step-by-step explanation:

No x intercept means it can't touch the x axis y=x^{2}+1 does the trick since it moves the whole thing up one unit

Step-by-step explanation:

To determine the type of association shown in the scatterplot, we need to plot the data points and examine the trend.

When we plot the data points, we will see that as the length of the string increases, the frequency it creates decreases. This means that there is a negative association between the length of the string and the frequency it creates.

Therefore, the scatterplot will show a negative association.

Answer:

(0, 3) (0, -4) (-5, 4) (1, 1)

Answer:

?

Step-by-step explanation:

7cm2 is the answer of perimeter of square

Answer:

28 cm

Step-by-step explanation:

Volume = 7*7 = 49

4*7=28

a. At values of x=1 and x =3 the local maximum and minimum values of g occur

b. The absolute maximum value of g(x) is approximately 0.76 and occurs at x = 4.

c. On the intervals [0, 1) and (3, 4] g concave downward

Since g(x) is defined as the definite integral of f(t) from 0 to x, we can use the First Fundamental Theorem of Calculus to find g'(x) in terms of f(x):

g'(x) = f(x)

Similarly, we can use the Second Fundamental Theorem of Calculus to find g''(x) in terms of f'(x):

g''(x) = f'(x)

(a) The local maximum and minimum values of g occur at critical points of g(x), which are values of x where g'(x) = f(x) = 0 or is undefined. From the graph of f(x), we see that f(x) = 0 at x = 1 and x = 3, so these are possible candidates for critical points of g(x). We also see that f(x) is undefined at x = 2, so this is another possible critical point. Evaluating g'(x) and g''(x) at each of these values, we have:

g'(1) = f(1) = 0, g''(1) = f'(1) < 0, so g(x) has a local maximum at x = 1.

g'(2) is undefined, so x = 2 is not a critical point of g(x).

g'(3) = f(3) = 0, g''(3) = f'(3) > 0, so g(x) has a local minimum at x = 3.

Therefore, the local maximum of g(x) occurs at x = 1, and the local minimum of g(x) occurs at x = 3.

(b) To find the absolute maximum value of g(x), we need to examine the values of g(x) at the endpoints of the interval [0, 4]. We have:

g(0) = 0

g(4) = R 4 0 f(t)dt = the area under the curve of f(x) from x=0 to x=4.

From the graph, we can see that the absolute maximum value of g(x) occurs when x is in the interval [1, 3], so we can evaluate g(x) at the critical points found in part (a) and the endpoints of the interval to find the absolute maximum value of g(x):

g(1) = R 1 0 f(t)dt ≈ 0.72

g(3) = R 3 0 f(t)dt ≈ 0.65

g(4) = R 4 0 f(t)dt ≈ 0.76

Therefore, the absolute maximum value of g(x) is approximately 0.76 and occurs at x = 4.

(c) The function g(x) is concave downward on an interval if its second derivative, g''(x), is negative on that interval. From part (a), we know that g''(x) = f'(x), so we need to find where f'(x) is negative. From the graph of f(x), we can see that f'(x) is negative on the intervals [0, 1) and (3, 4]. Therefore, g(x) is concave downward on the intervals [0, 1) and (3, 4].

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The factors of the quadratic equation are found as the 7 and -3/2

For the given question, the quadratic equation is give as;

2x² - 11x - 21 = 0

Find the factors of -21×2 = 42 such that on subtraction it gives -11.

2x² - 14x + 3x - 21 = 0

Take 2x common from the first two terms and 3 from the last two terms.

2x(x - 7) + 3(x - 7) = 0

Take (x - 7) common from the terms.

(x - 7)(2x + 3) = 0

Then,

x - 7 = 0

x = 7

and, 2x + 3 = 0

x = -3/2

Thus, the factors of the quadratic equation are found as the 7 and -3/2.

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Answer:

50

Step-by-step explanation:

................

..............

Answer:

150=(55-c)(5.5-t)

5.5-t=150/(55-c)

-t=(150-302.5+5.5c)/(55-c)

t=(152.5-5.5c)/(55-c)

150=(55+c)t   using t found about

150=(55+c)(152.5-5.5c)/(55-c)

8250-150c=8387.5-302.5c+152.5c-5.5c^2

5.5c^2=137.5

c^2=25

c=5

So the current is 5mph.

Step-by-step explanation:

Answer:

1:2

Step-by-step explanation:

Answer: D

Step-by-step explanation:

maybe

Answer:

the answer for your question is d

Answer:

\(9x + 4 - 3y^2\)

Step-by-step explanation:

Given

\(5x+4x - 1+3 - 7y^2 +2+4y^2\)

Required

Simplify

\(5x+4x - 1+3 - 7y^2 +2+4y^2\)

Collect Like Terms

\(5x+4x - 1+3 +2+4y^2- 7y^2\)

Simplify like terms

\(9x + 4 - 3y^2\)

Hence,

\(5x+4x - 1+3 - 7y^2 +2+4y^2\) \(= 9x + 4 - 3y^2\)