The table shows the mass of four packages. What is the total mass of the packages?

The Table Shows The Mass Of Four Packages. What Is The Total Mass Of The Packages?

Answers

Answer 1

The total mass of the packages is 37.04 kg

What is the total mass of the packages?

In math, mass means the amount an object weighs. To find the mass we use a balance or weights. The units used to denote mass are gram (g) and kilogram (kg).

Given that:

Masses (KG) are 3.94, 14.18, 11.27 and 7.65 (KG) for Package 1 to 4 respectively.

The total mass of the packages is:

= 3.94 + 14.18 + 11.27 + 7.65

= 37.04 kg

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Related Questions

If -1 and 1 + 5i are roots of f(x) = x ^ 3 - x ^ 2 + 24x + 26 what is the missing root?

Answers

The missing root is -24 - 5i.

To find the missing root of the polynomial function f(x) = x^3 - x^2 + 24x + 26, we can use the fact that the sum of all the roots of a polynomial equation is equal to the negation of the coefficient of the second-to-last term divided by the coefficient of the leading term.

In this case, the coefficient of the second-to-last term is 24, and the coefficient of the leading term is 1. Therefore, the sum of all the roots is -24/1 = -24.

We already know that -1 and 1 + 5i are roots, so we can subtract them from the sum to find the missing root:

Missing root = -24 - (-1) - (1 + 5i) = -24 + 1 - 1 - 5i = -24 - 5i.

Note that the missing root is a complex number, indicating that the polynomial has at least one complex root.

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Solve the following equation algebraically: 3 x squared = 12 a. Plus-or-minus 3 b. Plus-or-minus 2 c. Plus-or-minus 3.5 d. Plus-or-minus 1.5 Please select the best answer from the choices provided A B C D

Answers

The correct option is b, the solutions of the quadratic equation are x = ±2

How to solve the quadratic equation?

Here we want to solve the following quadratic equation:

3x² = 12

To solve this, we need to isolate the variable, so let's start by dividing both sides by 3, then we will get:

x² = 12/3

x² = 4

Now we can apply the square root in both sides:

√x² = ±√4

x = ±2

These are the two solutions, then the correct option is b.

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1. cos^2x = sin^2x + 1/2
2. 2cos( π/2 - x) * sin (π/2 + x) - 1 = 0
3. 8sin x/2 * cos x/3 * cosx * cos2x = 1
4. 1 + cosx = cos x/2

Answers

x = ±π/6 + πn, ±11π/12 + πn, where n is an integers are solutions of the equation  cos²x = sin²x + 1/2

To solve the equation cos²x = sin²x + 1/2, we can use the trigonometric identity sin²x + cos²x = 1.

Rearranging the equation, we have:

cos²x - sin²x = 1/2

Using the identity cos²x - sin²x = cos(2x), we can rewrite the equation as:

cos(2x) = 1/2

The solutions to this equation can be found by taking the inverse cosine (or arccosine) of both sides:

2x = ±π/3 + 2πn, ±11π/6 + 2πn, where n is an integer

Dividing both sides by 2, we get:

x = ±π/6 + πn, ±11π/12 + πn, where n is an integers

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Differentiate between equity and equality in mathematics class.

Answers

Equality means each individual or groups of people is given the same resources or opportunities. Equity recognizes that each person has different circumstances and allocates the exact resources and opportunities needed to reach an equal outcome.

A clothing designer determines that the number of shirts she can sell is given by the formula S = −4x2 + 88x − 160, where x is the price of the shirts in dollars. At what price will the designer sell the maximum number of shirts? (1 point)
$2
$11
$20
$324

Answers

The price for which the designer will sell the maximum number of shirts is given as follows:

$11.

How to obtain the price?

As the amount sold is modeled by a concave down quadratic function, the price for which the designer will sell the maximum number of shirts is given by the x-coordinate of the vertex of the quadratic function.

The function in the context of this problem is given as follows:

S(x) = -4x² + 88x - 160.

The coefficients are given as follows:

a = -4, b = 88, c = -160.

Hence the x-coordinate of the vertex is obtained applying it's formula as follows:

x = -b/2a

x = -88/-8

x = 11. -> price of $11.

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At which root does the graph of f(x) = (x - 5)³(x + 2)2 touch the x-axis?
O-5
0-2
02
05

Answers

Step-by-step explanation:

Wherever the fxn = 0  is where it touches the x -axis

0=(x-5)^3 (x+2)^2   means that one or both of the factors is 0

     (x-5)^3    is zero at   x = 5

      (x+2)^2  is zero at    x = -2

sooo    5 and  -2  

 

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5,7 years With a standard deviation of 0.9 years. If a sampling distribution is created using samples of the ages at which 57 children begin reading what would be the mean of the sampling distribution of sample means? Round to two decimal places if necessary

Answers

By the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.7 years.

Since, The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean μ and standard deviation σ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean μ and standard deviation s = σ / √n.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

The mean for the entire population is 5.7 years.

So, by the Central Limit Theorem, the mean of the sampling distribution of sample means would be 5.7 years.

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the priniting company charges a fixed amunt for creating artwork then charges an additonal amount based on number

Answers

The price per shirt when 100 shirts are sold is of $5.

How to define a linear function?

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

m represents the slope of the function, which is by how much the dependent variable y increases or decreases when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On a graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.

From the graph of the function, two points are given as follows:

(0, 20) and (20, 100).

Hence the slope is given as follows:

m = (100 - 20)/(20 - 0)

m = 4.

Hence the cost function is of:

y = 4x + 20.

For 20 shirts, the cost is of $100, hence the cost per shirt is given as follows:

100/20 = $5 per shirt.

Missing Information

The problem is given by the image presented at the end of the answer.

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Please I need help with this math problem

Answers

Step-by-step explanation:

I believe it is asking for the probability that x is greater than the mean + two standard deviations .....

  look at the mean ....count up two SD ( labelled at the bottom)  ....then see what is to the right of this point  : 2.35 % + .15 % =  2.5%  is greater

Find the coordinates of B if p(1, 2) partition segment AB in the ratio 1:2 and A (2, 4).

Answers

The calculated coordinates of point B on line AB is (-1, 0)

Calculating the coordinates of point B

From the question, we have the following parameters that can be used in our computation:

P =  (1,2)  

A = (2,4)

Also, we have

m : n = 1 : 2

The coordinates of point P are calculated using

P = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Substitute the known values in the above equation, so, we have the following representation

(1, 2) = 1/(1 + 2) * (1 * x + 2 * 2, 1 * y + 2 * 4)

Evaluate

(3, 6) = (x + 4, y + 6)

So, we have

x = -1 and y = 0

Hence, the coordinates of point B on line AB is (-1, 0)

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While driving your rental car on your vacation in Europe, you find that you are getting 13.3 km/of gasolineWhat does this value correspond to in miles per gallon?
13.3km/L=
_mi/gal

Answers

The value of 13.3km/L corresponds to 30.595 miles/gal

how to find the value after conversion

The conversion required is 13.3km/L to mile/gal

converting km to miles

1km = 0.621371 miles

13.3 km = ?

cross multiplying results to

? = 13 * 0.621371 = 8.077 miles

converting L to gallons

1 liters = 0.264172

hence we have that

= 8.077 / 0.264

= 30.595

thus, 13.3km/L is equal to 30.595 miles/gal

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Find the value of x.

Answers

The calculated value of x in the circle is 40

How to find the value of x.

From the question, we have the following parameters that can be used in our computation:

The circle

From the circle, we have

Center = C

Also, we have

LIne CS bisects the chord RT

Using the above as a guide, we have the following:

RS = ST

Where

ST = 40 and RS = x

So, we have

x = 40

Hence, the value of x is 40

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Which expression is equivalent to

Answers

Answer:

The answer is the third option

Step-by-step explanation:

When an exponent is raised to the power of another exponent, both exponents are multiplied.
Recall that a number without an exponent is thought to be raised to the power of 1.

So after multiplying the exponents of all of the variables by 4, we are left with a solution identical to the third option.

Find the measure of each side indicated for the top two

Find the measure of each angle indicated for the bottom two
Round to the nearest tenth for all

Answers

The measure of each missing indicated side of the triangle would be given as follows;

1.) X = 2.7

2.) X = 15.2

How to determine the length of the indicated sides of the triangle?

For question 1.)

Using the sine formula such as given below;

a/sinA = b/sin B

where ;

a = X

A = 27°

b = 6

B = 90°

That is;

X/sin27° = 6/sin90°

X = 6×0.453990499/1

= 2.7

For question 2.)

a/sinA = b/sin B

where ;

a = X

A = 47.4°

b = 14

B = 180-(47.4+90)

= 180-137.4

= 42.6

That is;

X/sin47.4° = 14/sin42.6°

X = 14×0.736097087/0.676875969

= 10.305359218/0.676875969

= 15.2

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using the centriod explain the relationship between point z and the triangle. justify with applicable theorem.
4. if the length of gu is 18 units, what is the length of gz?
5. if the length of zt is 4.8 units, what is the length of ot?
show all work

Answers

By the Centroid Theorem, the lengths are given as follows:

4. GZ = 12 units.

5. OT = 14.4 units.

What is the Centroid Theorem?

The Centroid Theorem states that the centroid of a triangle is located two-thirds of the total distance from each vertex to the midpoint of the opposite side.

Hence for length GZ we have that:

GZ = 2GU/3

GZ = 2 x 18/3

GZ = 12 units.

For length OT, we have that:

ZT = 1/3OT

OT = 3ZT

OT = 3 x 4.8

OT = 14.4 units.

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Assuming that you invested today a value of $400; you will have $684 after 11 years. Find the interest rate which satisfies this assumption.​

Answers

The interest rate that satisfies the assumption is approximately 5.33%.

We have,

To find the interest rate that satisfies the assumption, we can use the formula for compound interest:

[tex]A = P \times (1 + r)^t[/tex]

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case, we have:

P = $400

A = $684

t = 11 years

Let's substitute these values into the formula and solve for r:

$684 = $400 x [tex](1 + r)^{11}[/tex]

Dividing both sides by $400, we get:

[tex]1.71 = (1 + r)^{11}[/tex]

Now, we need to isolate (1 + r) by taking the 11th root of both sides:

[tex](1 + r) = 1.71^{1/11}[/tex]

Using a calculator, we find:

(1 + r) ≈ 1.0533

Subtracting 1 from both sides, we get:

r ≈ 0.0533

To express the interest rate as a percentage, we multiply by 100:

r ≈ 5.33%

Therefore,

The interest rate that satisfies the assumption is approximately 5.33%.

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The temperature inside my refrigerator is about 40 Celsius. That temperature in Kelvin is K.
I place a balloon in my fridge that initially has a temperature of 220 C. This is K.

If the original volume of the balloon is 0.5 liters, what will be the volume of the balloon when it is fully cooled by my refrigerator? liters. (Round to two decimal places)

Answers

The final volume of the balloon, when completely cooled in the refrigerator, will be approximately 0.32 liters.

To solve this problem, we need to use Charles's law, which states that, at constant pressure, the volume of a sample of gas is directly proportional to its temperature.

The law can be expressed mathematically as:

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{ \frac{V_1}{T_1}=\frac{V_2}{T_2} } \end{gathered}$} }[/tex]

Where:

V₁ is the initial volumeT₁ is the initial temperatureV₂ is the final volumeT₂ is the final temperature

Now we obtain the data to continue solving:

V₁ = 0.5 LT₁ = 220 °CV₂ = ?T₂ = 40 °C

Now, we will convert the temperatures to Kelvin:

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_1=220 \ ^{\circ}C+273=493 \ Kelvin} \end{gathered}$} }[/tex]

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{T_2=40 \ ^{\circ}C+273= 313 \ Kelvin} \end{gathered}$} }[/tex]

Now we solve for V₂:

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{V_1T_2}{T_1 } } \end{gathered}$} }[/tex]

Where:

V₁ is the initial volumeT₁ is the initial temperatureV₂ is the final volumeT₂ is the final temperature

Now, we substitute the values in the formula:

[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2=\frac{(0.5 \ L\times313\not{k} )}{493\not{k} } } \end{gathered}$} }[/tex]

[tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V_2\approx0.32 \ Liters } \end{gathered}$} }}[/tex]

The final volume of the balloon, when completely cooled in the refrigerator, will be approximately 0.32 liters.

what is the range of the reciprocal function -7/3x+11

Answers

The range of the reciprocal function f(x) = -7/(3x + 11) is all real numbers except for the value x = -11/3.

The range of the reciprocal function f(x) = -7/(3x + 11), we need to determine the set of all possible values that f(x) can take.

The reciprocal of a number is obtained by taking the multiplicative inverse, which means that the reciprocal of a non-zero number a is 1/a.

We are looking for the range of the reciprocal function, so we need to consider the range of the expression (3x + 11).

The range of (3x + 11) is the set of all real numbers, except when the denominator becomes zero.

The range of the reciprocal function f(x) = -7/(3x + 11) is all real numbers except when (3x + 11) equals zero.

To find the x-value when (3x + 11) equals zero, we solve the equation:

3x + 11 = 0

Subtracting 11 from both sides, we get:

3x = -11

Dividing by 3, we find:

x = -11/3

The reciprocal function is undefined at x = -11/3, as it would result in a division by zero.

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what values of x make the inequality -5x - 7 > 3x + 1 true

Answers

Hello!

[tex]-5x - 7 > 3x + 1\\\\-5x - 3x > 1+7\\\\-8x > 8\\\\\boxed{x < -1}[/tex]

x < -1x ∈ ]-∞ ; -1[all the values < -1 (-1 not included)

What is the measure of angle B? Do not include a degree sign.

Answers

The measure of angle B is given as follows:

m < B = 60º.

What are the trigonometric ratios?

The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:

Sine of angle = opposite side/hypotenuse.Cosine of angle = adjacent side/hypotenuse.Tangent of angle = opposite side/adjacent side = sine/cosine.

For the angle B, we have that:

x is the hypotenuse.x/2 is the adjacent side.

Hence we apply the cosine ratio to obtain the measure of angle B as follows:

cos(B) = (x/2)/x

cos(B) = 1/2

B = arccos(1/2)

B = 60º.

Missing Information

The triangle is given by the image presented at the end of the answer.

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The diameter of a planet is about 27,998 mi. The diameter of the​ planet's moon is about 29​% of the diameter of the planet. What percent of the volume of the planet is the volume of its​ moon?
Question content area bottom

The volume of the​ planet's moon is ? ​% of the volume of its planet.

Answers

The volume of the moon can be shown to be 3.07% of the volume of the planet.

How to find the percentage ?

First, calculate the radius of the planet and the moon.

The radius (r) of the planet is half of its diameter:

r = 27, 998 mi / 2

= 13, 999 mi

The volume of the planet is V:

= 4 / 3 π ( 13, 999 mi)³

=  11, 493, 372, 846 cubic miles

The volume of the moon is:

V = 4 / 3 π (4,059.71 mi) ³

=  352, 432, 952 cubic miles

The Percent volume :

= ( Volume of moon / Volume of planet) x 100

= ( 352, 432 ,952 cubic miles / 11, 493,372,846 cubic miles) x 100

= 3.07 %

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the foundation of a house has 1600 termites. The termites grow at a rate of 4.2% each day. How would this be written out?

Answers

The number of terminates are 2,384.78.

An exponential function can be used to illustrate the daily growth of termites.

If "t" represents the number of days, then "N" represents the number of termites.

⇒ N = [tex]1600(1 + 0.042)^{t}[/tex]

Where 0.042 is the decimal form of 4.2%.

Using this formula,

It can be  calculate the number of termites after any number of days t.

For example,

After 10 days, the number of termites would be:

⇒ N = [tex]1600(1 + 0.042)^{10}[/tex]

⇒ N = [tex]1600(1.042)^{10}[/tex]

⇒ N ≈ 2,384.78 termites

Hence,

⇒ N =  2,384.78 termites

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Considering this real world scenario, find the length of UV and RD and explain your reasoning as part of your answer. Show your work please (10) points!

Answers

The triangles ABC and CDE are similar

The width AB of the river is 172.73 ft

Stating if the triangles are similar or not

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and CDE

The above triangles have corresponding angles and they also have similar side lengths

This means that the triangles are similar

Calculating the width AB of the river

Here, we have the following ratio

AB : 100 = 38 : 22

So, we have

AB/100 = 38/22

This gives

AB = 100 * 38/22

Evaluate

AB = 172.73

Hence, the width AB of the river is 172.73 ft

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The function y = 11x6 + 13x¹ is
a) odd
b) even
c) neither even nor odd
d) both even and odd
e) none of the above

Answers

Answer:

a)

Step-by-step explanation:

the function is 11x6=66+13=79x¹=79

hope it helps

IF AB measures 115° what is the length of the radius of the circle to the mearest hundredth

Answers

The length of the radius of the given circle whose central angle has been given would be = 7cm.

How to calculate the radius of a circle when a central angle is given?

To calculate the radius of the given circle, the formula that should be used will be given below as follows:

Length of arc = 2πr×∅/360

Length of arc = 14cm

∅ = 115°

14 = 2×3.14×r ×115/360

make R the subject of formula;

r = 14/2.006

= 6.9

= 7cm

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Determine whether the
quadratic function
y=x² + 4x + 6 has
a maximum or minimum value.
Then find the value.
O maximum
minimum
The value is

Answers

Answer:

(a) The function has a minimum value

(b) The minimum value is 2

Step-by-step explanation:

(a)Currently y = x^2 + 4x + 6 is in standard form, whose general equation is

y = ax^2 + bx + c.  

We know that for our function a = 1.

When a > 0, the parabola opens upward and the vertex is a minimumWhen a <  0, the parabola opens downward and the vertex is a maximum

Thus, y = x^2 + 4x + 6 must have a minimum value.

(b) Whenever a problem asks for the minimum value, it's asking for the y-coordinate of the minimum.

Step 1:  First we can find the x-coordinate of the minimum using the equation -b/2a from the quadratic formula.  

Plugging in 4 for b and 1 for a, we get:

x-coordinate of minimum = -4 / 2(1)

x-coordinate of minimum = -4 / 2

x-coordinate of minimum = -2

Step 2:  Now we can plug in -2 for x in the quadratic function.  The result will be our minimum value:

f(-2) = (-2)^2 + 4(-2) + 6

f(-2) = 4 - 8 + 6

f(-2) = -4 + 6

f(-2) = 2

Thus, the minimum value of the quadratic function is 2.

Select the correct answer.
What is the equation of the parabola shown in the graph?

Answers

Answer:

c) y=-x^2/4 - 2x - 7

Step-by-step explanation:

Prove the following?

Answers

The proof that there is no set X such that P(X) ⊂ X is below

How to prove the set statement

From the question, we have the following parameters that can be used in our computation:

There is no set X such that P(X) ⊂ X

The above means that

There is no set X such that the power set of X is a subset of set X

By definition, the power set is the set of all subsets of the a Set which includes the set itself and the null or empty set

Using the above as a guide, we have the following:

We assume there is a set XSuch that Y is any element in the X.

Because Y is in X, then by definition of the power set P(X), Y is a subset of X.

However, this is a contradiction because it is not possible for a set to be a proper subset of itself.

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passenger on a boat notices that there is a dolphin 4.1 yards below the boat. There is also a fish 3.5 yards below the boat. They also see a bird that is 3.5 yards above the boat.

Part A: Explain how you would create a number line for these points. (1 point)

Part B: What does zero represent on your number line? (1 point)

Part C: Determine which two points are opposites, using absolute value. Be sure to show your work. (2 points)

Answers

Answer:

Step-by-step explanation:24 ft

Six packs of cola are on sale for $1.50. If a customer buys a 24 pack, what is the total charge including 8% sales tax?

Answers

Answer: [tex]\sf\$6.48[/tex]

Step-by-step explanation:

If a six-pack of cola is sold for $1.50, then the price per can is:

[tex]\sf\implies\$1.50 \div 6 = \$0.25[/tex]

A 24 pack of cola contains 24 cans, so the total cost of the 24 pack is:

[tex]\sf\implies 24 \times \$0.25 = \$6.00[/tex]

The sales tax is 8%, so the tax on the purchase is:

[tex]\sf\implies \dfrac{8}{100} \times \$6.00 = \$0.48[/tex]

Therefore, the total charge including sales tax is:

[tex]\sf\implies\$6.00 + \$0.48 = \$6.48[/tex]

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cost behavior patterns such as salaried employees are often called the bent rod has a weight of 1.5 lb/ft. locate the center of gravity with respect to the x, y, z axes and determine the iy Mass customization would most affect which feature of Porter's Five Forces Model?Group of answer choicesA. bargaining power of suppliersB. economies of scaleC. product differentiationD. distribution channel write down the equation of cpu time as the product of three term is closely related to the risc machine? explain why. Which of the following types of ballots could be used by a family to rank their preferred vacation (1 point) locations? O Condorcet ballot O plurality ballot O traditional ballot O preference ballot Which of the following describes a style of painting that creates the optical illusion of three dimensions?a) perspectiveb) dimensionalc) trompe l'oeild) rococo when government gives lipton tea a subsidy, the supply of tea will increaseT/F a system gains 272 j of heat at he same time the environement does 214 j of work on teh system. Find the change in the internal energy of (a) the system and (b) the environment. in comparison with a blue whale, a shrew has The sun has been up for several hours, and it has been shining on these trees. What can thetrees do because they are in sunlight? What does this mean for the number of energy storagemolecules in the trees? The trees can. Why does a sheeps heart have much more adipose tissue during pregnancy estrogen and progesterone from the placenta quizlet mary is 6 weeks post-mastectomy for carcinoma of the breast. she is admitted for chemotherapy. what is the correct sequencing of the codes? Which statement does NOT correspond to early criminal justice education?a. It was a kind of extension of on-the-job training for working practitioners.b. It encouraged scientific research into the operation of the criminal justice system.c. It focused on the application of general management principles to the administration of police agencies.d. It came to be seen as a practical field of study concerned largely with issues of organizational effectiveness. Aaron flips a penny 100 times. HEADS comes up 58 times. Based on Aaron's experiment, what is the probability that TAILS turns up when a penny is flipped 100 times? Compare the theoretical probability of HEADS coming up to Aaron's experimental probability.A. 21/50 ; 1/2 < 29/50B. 29/50 ; 1/2 < 29/50C. 21/50 ; 1/2 = 1/2D. 21/50 ; 21/50 Two particles, each with a charge +Q, that are located at the opposite corner of a square of side d. Given Q = 9 nC and d = 0.5 m, what is the magnitude of electric field at point P? Show all work. how far is the probe from earth (in light years) when the batteries fail, as measured from the earth? Hypochlorite bleach (Clorox) and Lysol are examples of A antiseptics. B bacteriostatics. C antifungal agents. D disinfectants. A professor's agreement to tutor a student during freshmen year must be in writing to satisfy the statute of frauds. True False QUESTION 18 Notice and an opportunity to be heard are essential in protecting a defendant's due process rights. True False QUESTION 19 An integrated contract is a writing that the parties intend to be their final and complete agreement. True False QUESTION 20 Being ethical always maximize business profits. True False In considering investments in large capital projects, a company is deciding in which of the following projects it will invest.(Values in the $Millions)Project AProject BProject CCapital Required (in year 0)80100120After-tax yearly cash flow (yr. 1-10)111416The company can always invest its money in long-term bonds that currently yield 5.5% p.a. (after tax). In which, if any, of the projects, should the company invest if the capital ceiling for investment is $250 million and a project life of 10 years is assumed? Would you argue to raise the investment ceiling?