the liter is the metric base unit of measurement for

Answer:

(0,-29) x = 0, y = -29

Step-by-step explanation:

Answer:

x= - 29 over 9 - 1 over 9y, y

Step-by-step explanation:

Answer:

0.4 or 40%

Step-by-step explanation:

The sectors that are factors of 8 are 1, 2, 4, and 8 itself. Therefore, out of 10 equally sized sectors, 4 are factors of 8.

The probability of selecting a sector that is a factor of 8 is the ratio of the number of favorable outcomes to the total number of possible outcomes

So, the probability of selecting a sector that is a factor of 8 is:

4 (number of favorable outcomes) / 10 (total number of possible outcomes)

which simplifies to:

2/5 or 0.4

Therefore, the probability that the randomly selected point lies in a sector that is a factor of 8 is 0.4 or 40%.

Answer:

2/10 meaning 20%

Step-by-step explanation:

Answer:

ueidicjfkfktitorr*rtt

28

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is

h² = 20² + 20² = 400 + 400 = 800 ( take the square root of both sides )

h = \(\sqrt{800}\) ≈ 28 in ( to the nearest whole number )

Answer:

does not clearly describe a word or phrase in a sentence

Step-by-step explanation:

Not sure that this is math but...

Answer:

The answer is B

Step-by-step explanation:

B) does not clearly describe a word or phrase in a sentence

Answer:

Step-by-step explanation:

As they are in proportion,

x +4  : x +12   :: x -1  : x + 5

Product of means  = Product of extremes

(x + 12)(x -1) = (x +4)(x+5)

Use FOIL method for polynomial multiplication

x*x + x*(-1) + 12*x + 12*(-1) = x*x +  x*5  + 4*x + 4*5

x² - x + 12x - 12 = x² + 5x + 4x + 20

Combine like terms

x² + 11x - 12 = x² + 9x + 20

x² + 11x - 12 - x² - 9x - 20 = 0

Combine like terms

x² - x² + 11x -9x   -12 -20 = 0

2x - 32 = 0

2x = 32

x = 32/2

x = 16

Answer:

4

7

17

Step-by-step explanation:

4 × 4 =16

7×7 =49

17×17 = 289

The standard form of the equation y + 2 = 1/4x is y = (1/4)x - 2 because the standard form is y = mx + c.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

y + 2 = (1/4)x

On comparing the standard equation:

y = mx + c

Here m is the slope of the line and c is the y-intercept.

After arranging the standard form of the equation:

y = (1/4)x - 2

Thus, the standard form of the equation y + 2 = 1/4x is y = (1/4)x - 2 because the standard form is y = mx + c.

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Answer:

(9×3)+(4×2)

Step-by-step explanation:

Let a represent the price of books

Let b represent the price of magazines

Alicia purchase 3 books for $9

She also purchased 2 magazines for $4

(9×a) +(4×b)

= (9 ×3) + (4×2)

= 27+8

= 35

Answer:

sqrt53

Step-by-step explanation:

So here I'm assuming you need to know the hypotenuse of the triangle. Since it is a right triangle, we are able to use Pythagorean's theorem which is a^2 + b^2 = c^2.

We can set a = 2, b = 7, and solve for c.

2^2 + 7^2 = c^2

4 + 49 = c^2

53 = c^2

c = sqrt53

To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.

Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0

Earliest finish time = 1

Activity B: Earliest start time = 2

Earliest finish time = 5

Activity C: Earliest start time = 5

Earliest finish time = 11

Activity D: Earliest start time = 11

Earliest finish time = 17

Activity E: Earliest start time = 5

Earliest finish time = 8 Activity F:

Earliest start time = 8

Earliest finish time = 17

Now we can calculate the latest start and latest finish times for each activity using the backward pass.

Latest finish time = 5

Latest start time = 2

Activity A: Latest finish time = 1

Latest start time = 0

Now we can calculate the slack time for each activity as follows:Activity A:

Slack time = 0

Activity B: Slack time = 0

Activity C: Slack time = 0

Activity D: Slack time = 0

Activity E: Slack time = 3

Activity F: Slack time = 0

The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.

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The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A is none of the given option.

The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A in Maxwell's equations are not fixed or predetermined to always be in the same direction, always in opposite directions, or always perpendicular to each other.

The orientations of these elements depend on the specific geometry and configuration of the electromagnetic field being considered. The direction of d Vector s is determined by the chosen path or curve along which the integration is performed.

The direction of d Vector A is determined by the orientation of the surface over which the integration is carried out. These orientations can vary depending on the specific problem and the shape of the path or surface involved.

Therefore, the correct answer is E. none of the above, as there is no fixed relationship between the directions of d Vector s and d Vector A in general.

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The question attached here seems to be incomplete, the complete question is:

Two of Maxwell’s equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A are:  A. always in the same direction  B. always in opposite directions  C. always perpendicular to each other  D. never perpendicular to each other  E. none of the above

Answer:

18 sides

Step-by-step explanation:

(N x 180) - 360 = 160N

180N -360 = 160N

20N = 360

N = 18

Proof:

(18 x 180) -360 = 2880 total degrees

2880/18 sides = 160°

Answer:

32 degrees and 10km Apart

Step-by-step explanation:

110-100=10

62-30=32

The combined portfolio would have a weight of 56.2% in Charlie's portfolio and 43.8% in Lucinda's portfolio, with an expected return of 10.0% and a standard deviation of 22.6%. Whether this portfolio is preferable would depend on the investor's risk tolerance and investment objectives.

Based on the information you provided,

The combined portfolio of Charlie and Lucinda would have an expected return and standard deviation that depend on the weights of each portfolio in the combination.

One approach to solving this problem is to use the formula for the expected return and standard deviation of a portfolio that combines two assets:

E(Rp) = w1E(R1) + w2E(R2) σp

         = √(w1²σ1² + w2²σ2² + 2w1w2σ1σ2ρ)

Where E(Rp) is the expected return of the combined portfolio,

E(R1) and E(R2) are the expected returns of the individual portfolios,

σ1 and σ2 are their standard deviations,

ρ is the correlation coefficient, and w1 and w2 are the weights of each portfolio in the combination (such that w1 + w2 = 1).

Using this formula, we can calculate the expected return and standard deviation of Charlie's portfolio separately:

E(Rc) = 10.8%

σc = 25%

And we can do the same for Lucinda's portfolio:

E(Rl) = 9.2%

σl = 25%

Since the correlation coefficient between the two portfolios is zero, we can assume that ρ = 0 in the formula.

This simplifies the formula to:

σp = √(w1²σ1² + w2²σ2²)

We can now use this formula to solve for the weights that would give the combined portfolio the highest Sharpe ratio:

Sharpe ratio = (E(Rp) - Rf) / σp

Where Rf is the risk-free rate, which we'll assume is 2%.

Plugging in the values we have, we get,

Sharpe ratio = (w1E(Rc) + w2E(Rl) - Rf) / √(w1²σc² + w2²σl²)

To maximize the Sharpe ratio, we need to take the partial derivatives of this formula with respect to w1 and w2, set them equal to zero, and solve for w1 and w2:

d(SR)/dw1 = (E(Rc) - Rf)σl² - (E(Rl) - Rf)σcσl / (σc² + σl² - 2w1σcσl)\(^{(3/2)}\) = 0

d(SR)/dw2 = (E(Rl) - Rf)σc² - (E(Rc) - Rf)σcσl / (σc² + σl² - 2w1σcσl)\(^{(3/2)}\)= 0

Solving these equations simultaneously, we get,

w1 = (E(Rc) - Rf)σl² / (E(Rc) - Rf)σl² + (E(Rl) - Rf)σc² w2

    = (E(Rl) - Rf)σc² / (E(Rc) - Rf)σl² + (E(Rl) - Rf)σc²

Plugging in the values we have, we get:

w1 = 0.562

w2 = 0.438

Therefore, the combined portfolio would have a weight of 56.2% in Charlie's portfolio and 43.8% in Lucinda's portfolio.

The expected return and standard deviation of the combined portfolio would be:

E(Rp) = w1E(Rc) + w2E(Rl) = 10.0%

σp = √(w1²σc² + w2²σl²) = 22.6%

Therefore, the combined portfolio would have a lower expected return than Charlie's portfolio alone, but a lower standard deviation as well. Whether this portfolio is preferable would depend on the investor's risk tolerance and investment objectives

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Answer:

                y - 2 = ¹/₃(x - 6)      ← the point-slope form of the equation

                y = ¹/₃x                   ← the slope-intercept form of the equation

                x - 3y = 0               ← standard form of the equation

Step-by-step explanation:

The slope of line that passes through (-5, 3) and (-1, -9):

\(m_0=\dfrac{3-(-9)}{-5-(-1)}=\dfrac{3+9}{-5+1}=\dfrac{12}{-4}=-3\)

The slope of a line perpendicular to the line with the slope m₀:

\(m=-\dfrac1{m_0}=-\dfrac1{-3}=\dfrac13\)

The point-slope form of the equation of a line: y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

(6, 2)    ⇒    x₁ = 6,  y₁ = 2

So:

    y - 2 = ¹/₃(x - 6)      ← the point-slope form of the equation

y - 2 = ¹/₃x - 2               {add 2 to both sides}

y = ¹/₃x                   ← the slope-intercept form of the equation

y - ¹/₃x = 0             {multiply both sides by (-3)}

x - 3y = 0               ← standard form of the equation

Answer:

4/6

Step-by-step explanation:

90 in + 60 in= 130 square inches? I guess you can do that

Have a good day

The Taylor series for a function f about x=1 is an infinite sum that represents the function using its derivatives at x=1. It starts with the value of the function at x=1 and includes terms involving higher derivatives multiplied by powers of (x-1) divided by factorials. It allows us to approximate the function near x=1 using a polynomial.

1. The first term, f(1), represents the value of the function at x=1.
2. The subsequent terms involve the derivatives of the function at x=1. The second term, f'(1)(x-1), is the first derivative of f at x=1 multiplied by (x-1).
3. Each subsequent term involves higher derivatives of f at x=1, with each derivative being multiplied by (x-1) raised to a power and divided by the corresponding factorial.

The Taylor series is a way to represent a function as an infinite sum of terms derived from its derivatives at a specific point. In this case, the Taylor series for function f about x=1 is given by f(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3! + ...

Each term involves a derivative of f evaluated at x=1, multiplied by (x-1) raised to a power and divided by the corresponding factorial. By including more terms in the series, we can approximate the function better near x=1 using a polynomial.

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Answer:

x + 600 ≥ 2400

Step-by-step explanation:

Given:

Amount needed = $2,400

Amount they had = $600

Find:

Amount they need

Computation:

Assume;

Amount they need = x

x + 600 ≥ 2400

The equation for a circle with center located at (a,b) and radius r is given by:

(x - a)² + (y - b)² = r²

Therefore, if a circle has radius r = 2 and is centered at (3,2), its equation is given by:

Option D: (x - 3)² + (y - 2)² = 4

Answer:

\(6 \frac{350}{1000}\) Is the answer, if you want it simplified then, \(6 \frac{7}{20}\)

Step-by-step explanation:

Answer:

\({ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}\)

Step-by-step explanation:

Hope you got the idea in previous answer.

\(6.350 = \frac{6350}{1000} \)

reduce the fraction by 10:

\( = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} \)

then reduce it by 5:

\( = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} \)

in mixed fraction mode:

\( = 6 \frac{7}{20} \)

The estimated multiple regression equation obtained by the researcher is ŷ = 1,087 + 20x3 + 48x4 + 16x5. This equation represents the estimated relationship between the dependent variable ŷ and the independent variables x3, x4, and x5 using the least-squares criterion.

1. The equation provides an estimate of the expected value of the dependent variable based on the given values of the independent variables. The coefficients associated with each independent variable (20, 48, and 16) indicate the estimated change in the dependent variable for a one-unit change in the corresponding independent variable, holding other variables constant.

2. The constant term, 1,087, represents the estimated value of the dependent variable when all independent variables are zero. In this case, it serves as the baseline or intercept of the regression equation.

3. By utilizing the least-squares criterion, the researcher has determined the coefficients that minimize the sum of the squared differences between the observed values and the predicted values of the dependent variable. This allows for the estimation of the relationship between the independent variables and the dependent variable in the form of the multiple regression equation.

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Answer:

-$6, $0, and $17

In 0.75lb (340g) of 85% lean ground beef, there are approximately 72 grams of fat.

To calculate the grams of fat in 0.75lb of 85% lean ground beef, we need to determine the fat content based on the percentage given. The term "85% lean" indicates that 85% of the weight of the ground beef is lean meat, while the remaining 15% is fat.

First, we convert 0.75lb to grams. Since 1lb is equal to 454g, multiplying 0.75lb by 454g/lb gives us 340g.

Next, we calculate the fat content by multiplying the weight of the ground beef (340g) by the percentage of fat (15%).

340g * 0.15 = 51g

Therefore, in 0.75lb (340g) of 85% lean ground beef, there are approximately 51 grams of fat.

However, the question asks for the fat content, so we subtract this value from the total weight to find the grams of fat:

340g - 51g = 289g

Therefore, there are approximately 72 grams of fat in 0.75lb (340g) of 85% lean ground beef.

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Given:

Bob owns a hardware store he sells hammers for 15$

On Saturday he sold 36 hammers.

The total cost of the hammers =

So, the answer will be $540

Answer:

The answer would be 48 cm^2

Step-by-step explanation:

You have to do 9x4 and then add 6x2 to that.
9x4 is 36 and 6x2 is 12.
36+12 is 48. Hope this helps! :)

Answer:

The answer would be 48 cm^2

Yes, the  intersection of all of those intervals always be ope

The mathematical concept of well-defined groupings of objects, or sets, that are referred to as members or elements of the set. The only sets that are taken into consideration are those whose members are also sets because pure set theory only deals with sets.

Any union of open sets, or an unlimited number of open sets, is open. It is open where a finite number of open sets intersect.

A closed set is the complement of an open set (according to the space that the topology is specified on).

Thus, the intersection of all of those intervals always be open.

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Answer:

C. 77x⁷ + 78x⁶ - 27x⁵

Step-by-step explanation:

Operation of functions

f(x) g(x)

f(x) • g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Simplify or expand

(11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression

11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

Multiply

77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms

77x⁷ + 78x⁶ - 27x⁵

Hope this helps and have a nice day