What is the break-even quantity for the following situation? fc = $1,400 per week vc = $2 per unit rev = $6 per unit group of answer choices 100 600 1,400 350 250

Difference of Two Products has the expressions

(4)(5)-2(8)

and 5(2)(7)-8(8)

Product of Two Quotients

3-2/5-8 . 1-7/9-4

and (11÷5)(1-4/6-12)

The difference of two numbers is the result of subtracting these two numbers.

The product of two or more numbers is the result of multiplying two numbers

Difference of Two Products has the expressions

(4)(5)-2(8)

and 5(2)(7)-8(8)

Product of Two Quotients

3-2/5-8 . 1-7/9-4

and (11÷5)(1-4/6-12)

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The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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To estimate the expression 398 divided by 9, we can use compatible numbers. Compatible numbers are numbers that are close to the actual numbers, making estimation more manageable.The value of the expression 9 times 1 5/6 plus (-22) is -8.

We can look for a multiple of 9 that is close to 398. 9 × 40 = 360, which is less than 398, while 9 × 50 = 450, which is greater than 398. Therefore, we can estimate that 398 divided by 9 is somewhere between 40 and 50.We can find a more precise estimate by dividing 398 by 9 using long division:We can see that the quotient is 44 with a remainder of 2.

Therefore, the best estimate of the expression 398 divided by 9 is 44, with a possible range of 40 to 50, depending on how exact an estimate is needed. As for the expression 9 times 1 5/6 plus (-22), we can simplify it as follows:9 times 1 5/6 equals 16 because 9 times 1 is 9, and 9 times 5/6 is 5, so 9 times 1 5/6 equals 9 + 5 = 14. 9 times 1 5/6 plus (-22) equals 14 - 22 = -8. Therefore, the value of the expression 9 times 1 5/6 plus (-22) is -8.

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The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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Answer:

Yes, Since pH = 0.8 > pS = 0.64

So, on average, more Happy Airlines flights were on time than Speedy Airlines Flights

Step-by-step explanation:

Since for Speedy Airlines, 64 out of a hundred were on time, the proportion is,

\(pS = 64/100 = 16/25=0.64\\pS=0.64\)

And for Happy Airlines, 80 out of 100 were on time, so,

\(pH = 80/100=4/5\\pH=0.8\)

since pH is greater than pS, so we conclude that there is evidence of a difference in the on-time rate for the two airlines

That is, Happy Airlines flights were on time 80% of the time and Speedy Airlines flights were on time 64% of the time

The value of the investment multiplier is 5.

Given that:

Consumption function: C = c0 + c1(Y − T)

Investment function: I = I0 − m(r)

Government spending: G = G0

Tax revenue: T = t0 + t1Y

Where, C = Consumption

GDP = Y = C + I + G

Disposable income = Y − T

Private saving = Y − T − CG

= Government spending

I = Investment

t0 = autonomous tax component

t1 = endogenous tax component

m(r) = investment multiplier

Finding the equilibrium values of GDP, consumption, disposable income, and private saving

To find the equilibrium values, we need to set Y = GDP,

C = Consumption, T = Tax revenue and

S = Private Saving.

So, Y = C + I + GY = c0 + c1(Y − T) + I0 − m(r)GDP

= (c0 + I0 + G0 + t0) + (c1 − m(r))Y − t1Y.

GDP = \([c0 + I0 + G0 + t0] / [1 − (c1 − m(r) + t1)]\)

Now, we need to calculate the value of consumption and private saving

Disposable income = Y − T

Disposable income = Y − (t0 + t1Y)

Disposable income = (1 − t1)Y − t0

Consumption = c0 + c1(Y − T)

\(= c0 + c1(1 − t1)Y − c1t0\)

Private saving = \((1 − t1)Y − (t0 + c0 + c1(1 − t1)Y − c1t0)\)

Private saving = \((1 − c1)(1 − t1)Y + (c0 − c1t0)\)

The expression of the investment multiplier in terms of c0 and/or c1 is:

\(ΔY / ΔI = 1 / [1 − c1 + m'(r)]\)

The values of c0 and c1 are 48 and 0.6, respectively.

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Answer:

7

Step-by-step explanation:

The median is 7. When you put them in order of least to greatest, the number in the middle is 7.

2. The equation is given as follows: x + 4x = 25.

3. The constrains are given as follows: 0 ≤ x ≤ 25, 0 ≤ y ≤ 75.

The time spent running is given by:

Running = 4x.

The time spent walking is one-fourth of the time spent walking, hence it is given by:

Walking = 4x/4 = x.

The total time is the sum of the times spent running and walking, hence the expression is presented as follows:

x + 4x = 25.

The variables are given as follows:

You can accept at most 25 out-of-state hires, hence:

0 ≤ x ≤ 25

(as the number cannot be negative).

The company plans to have three times as many in-state hires, hence:

0 ≤ y ≤ 75.

As:

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es lo miso solo qe ultimo sinco canbialo por un 25 i ponele el dos ariba

Answer:

y=4

Step-by-step explanation:

Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Answer:(3,0) , (-2,0)

Step-by-step explanation:To find the x-intercept, substitute in  0 for y and solve for x

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(f(x) = {x}^{2} - x - 6 \)

\(f(x) = (x - 3)(x + 2)\)

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

_________________________________

Hint :

\(a \times b = 0\)

\(a = 0 \: \: \: or \: \: \: b = 0\)

_________________________________

Thus ;

\( x - 3 = 0\)

Add sides 3

\(x - 3 + 3 = 0 + 3\)

\(x = 3\)

Or

\(x + 2 = 0\)

Subtract sides 2

\(x + 2 - 2 = 0 - 2\)

\(x = - 2\)

Thus the x-intercepts are (( - 2 )) and (( 3 )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

b. Formal

Step-by-step explanation:

Colloquial is a more casual style of writing, which this text doesn't include.

To decode the cryptogram, we need to multiply the matrix A by the column vector [3, 2, 6] using matrix multiplication.

Each entry in the resulting vector corresponds to a letter in the decoded message.

Let's perform the matrix multiplication:

A =

[1 1 3]

[1 1 4]

Column vector: [3, 2, 6]

A * [3, 2, 6] = [24, 24, 77, 73, 57, 176, 46, 33, 104, 74, 56, 188, 29, 21, 63, 32, 27, 86, 85, 63, 203, 68, 48, 144, 74, 51, 153, 90, 67, 213, 37, 25, 76, 60, 48, 145, 94, 69, 207, 72, 54, 175, 30, 25, 77, 33, 28, 84]

The resulting vector represents the ASCII values of the characters in the decoded message. Converting these ASCII values back to their corresponding letters, we obtain the decoded message:

"SEMPTEMBER THE ELEVENTH WILL ALWAYS REMEMBER"

Please note that the decoded message may contain additional spaces or punctuation marks that are not present in the original matrix representation.

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The expected value of the random variable is 3.4.

The expected value of a random variable is a measure of its central tendency and represents the mean of all possible outcomes.

To find the expected value in this case, we need to multiply each outcome by its probability and then sum up the products.

The formula for expected value is:

E(x) = Σ[x * P(x)]

where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

Using the given values in the table, we can calculate the expected value as follows:

E(x) = (2 * 0.2) + (3 * 0.4) + (4 * 0.2) + (5 * 0.2)

E(x) = 0.4 + 1.2 + 0.8 + 1

E(x) = 3.4

Therefore, the expected value of the random variable is 3.4.

This means that if we were to repeat this experiment multiple times, on average we would expect the value of x to be around 3.4.

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Answer:

-14.50, -8/4, 4.2, 15/2, 12.072, 12.25

Answer:

31.2 ft

Step-by-step explanation:

sin = opp/hyp

sin64 = 28/hyp

hyp = 28/sin64

use calculator

hyp = 31.15285433330529

Rounded

31.2 ft

The length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

The ladder, the distance from the wall to the base of the ladder and the distance from the ground to the electric box forms a right angled triangle.

Trigonometric ratios shows the relationship between the sides and angles of a right angled triangle.

Let x represent the length of the ladder, hence:

sin(64) = 28 feet/x

x = 28 feet / sin(64)

x = 31.2 feet

Hence the length of the ladder needed to reach an electric box 28 feet up is 31.2 feet.

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The interval of convergence for the power series is -1/√R < x < 1/√R.

To find the power series representation for the function f(x) = x^4 / (1 - 3x^2), centered at x = 0, we can start by using the geometric series expansion. Recall that for a geometric series with a common ratio r, the sum of the series is given by:

S = a / (1 - r),

where "a" is the first term of the series. In our case, we have:

f(x) = x^4 / (1 - 3x^2) = x^4 * (1 + 3x^2 + (3x^2)^2 + (3x^2)^3 + ...).

We can rewrite this as:

f(x) = x^4 + 3x^6 + 9x^8 + 27x^10 + ...

Now, we have the power series representation of f(x) centered at x = 0.

Next, let's determine the interval of convergence. To do this, we can consider the radius of convergence, which is given by:

R = 1 / lim (n->∞) |a_(n+1) / a_n|,

where a_n is the coefficient of x^n in the power series.

In our case, the coefficients are increasing powers of x, so the ratio |a_(n+1) / a_n| simplifies to |x|^2. Taking the limit as n approaches infinity, we have:

R = 1 / lim (n->∞) |x|^2 = 1 / |x|^2.

For the series to converge, the absolute value of x must be less than the radius of convergence. Therefore, the interval of convergence is |x|^2 < R, which can be rewritten as:

-√R < x < √R.

Substituting R = 1 / |x|^2, we have:

-1/√R < x < 1/√R.

Thus, the interval of convergence for the power series is -1/√R < x < 1/√R.

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The y-coordinate of the point that partitions segment AC into a 1:2 ratio is given as follows:

y = 5.

The y-coordinate of the point that partitions segment AC into a 1:2 ratio is obtained applying the proportions in the context of the problem.

The segment AC is partitioned into a 1:2 ratio, hence the equation for the coordinates of P are given as follows:

P - A = 1/3(C - A).

The coordinates of A and C are given as follows:

A(1,3) and C(6,9).

Hence the y-coordinate of B is obtained as follows:

y - 3 = 1/3(9 - 3)

y - 3 = 2

y = 5.

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Answer:

c not all complex are imaginary

but all imaginary are complex

please brainlist

Answer:

C is False

Step-by-step explanation:

A complex number is represented by

\(z = a + bi\)

A imaginary number is represented by

\(z = bi\)

A complex number could include a real number so it cant be a pure imaginary number so C is False.

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

P=Ix100/RT

therefore P is made the subject formula

Answer:3

Step-by-step explanation:

Go up from one point to the other and whatever the number comes is the answer.

Answer:

We conclude that

\(a\times \left(b-c\right)=\:a\times b-a\times c\)

           \(-\frac{7}{3}=-\frac{7}{3}\)

        L.H.S = R.H.S    

Step-by-step explanation:

Given the property expression

\(a\times \left(b-c\right)=\:a\times b-a\times c\)

Given that:

Determining the LEFT-HAND SIDE

\(a\times \left(b-c\right)\)

substituting a= -3/5, b= 5/9 and c= -10/3​

\(a\times \left(b-c\right)\:=\:\:-\frac{3}{5}\times \left(\frac{5}{9}-\left(-\frac{10}{3}\right)\right)\:\:\:\:\:\:\:\:\:\:\:\:\)

                  \(=-\frac{3}{5}\times \:\left(\frac{5}{9}+\frac{10}{3}\right)\:\:\:\)

                  \(=-\frac{3}{5}\times \frac{35}{9}\)

                   \(=-\frac{7}{3}\)

Determining the RIGHT-HAND SIDE              

\(\:a\times \:b-a\times \:c\)

substituting a= -3/5, b= 5/9 and c= -10/3​

\(\:a\times \:b-a\times \:c=ab-ac\)

                      \(=-\frac{3}{5}\left(\frac{5}{9}\right)-\left(-\frac{3}{5}\right)\left(-\frac{10}{3}\right)\)

                      \(=-\frac{3}{5}\cdot \frac{5}{9}-\frac{3}{5}\cdot \frac{10}{3}\)

                      \(=-\frac{15}{45}-\frac{30}{15}\)

                      \(=-\frac{1}{3}-2\)

                      \(=\frac{-7}{3}\)

Apply the fraction rule:  \(\frac{-a}{b}=-\frac{a}{b}\)

                      \(=-\frac{7}{3}\)

Therefore, we conclude that

\(a\times \left(b-c\right)=\:a\times b-a\times c\)

           \(-\frac{7}{3}=-\frac{7}{3}\)

        L.H.S = R.H.S                                          

Answer:

The slope of the other line is 7/5 and it is perpendicular with a line of slope -5/7.

Step-by-step explanation:

Answer:

7/5

Step-by-step explanation:

Perpendicular lines multiply to -1.  Let m be the slope of the line perpendicular to the line with the slope of -5/7

-5/7 * m = -1

Multiply each side by -7/5 to get m alone

-7/5 * -5/7 *m = -1 * -7/5

m = 7/5

The slope of the line that is perpendicular to -5/7 is   7/5

The f(4) using is found using newton's interpolating polynomials of order 4.

function y=CL10_Exercise(part)

%% Input

% part: string for part a,b,c,d

%

%% Output

% y value of the underlying function at x=4

%

%% Write your code here

X=[1,2,3,5,6];

Y=[15,8,5.5,30,52];

x=4;

y=1;

switch part

case 'a'

%% Newton interpolation (Order 4)

a=X;

b=Y;

%x=input('Enter x: ');

[m,n]=size(a);

fx=0;

for i=1:n

%_____________Calculating Dividing Difference_____________________

s=0;

for j=1:i

p=1;

for k=1:i %Denominator part product

if(k~=j)

p=p*(a(j)-a(k));

end

end

s=s+b(j)/p; %summation f(x)/product

end

%_________________________________________________________________

p=1;

for j=1:i-1 %coefficient part of f[...]

p=p.*(x-a(j));

end

fx=fx+s.*p; %Polynomial!

end

y=fx;

case 'b'

%% not-a-knot spline

case 'c'

%% clamped spline

case 'd'

%% Hermite spline

end

end

Hence, the f(4) using is found using newton's interpolating polynomials of order 4.

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the area of a square is equal to the length of the side squared, the area of the square is \((5\sqrt{2} )^2 = 25\sqrt{4} = 25 cm2.\)

25 cm2

To calculate the area of the square, we can use the Pythagorean theorem. Since one diagonal of the square divides the other diagonal into two segments each measuring 5, the two sides of the square must also be 5. Therefore, we can use the Pythagorean theorem to calculate the length of the hypotenuse (the diagonal of the square), which is \(\sqrt{(5^2 + 5^2)} = \sqrt{√50} = 5\sqrt{2}\)Since the area of a square is equal to the length of the side squared, the area of the square is\((5\sqrt{2} )^2 = 25\sqrt{4} = 25 cm2.\)

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Answer:

a line that is perpendicular to the line l

The exponential function is:

y = -2*(5)ˣ

Evaluating that in x = -2, we will get y = -0.08

The general exponential function is written as:

y = A*(b)ˣ

Where A is the initial value and b is the rate of change.

Here we know that:

-2 = A*(b)⁰

-50 = A*(b)²

From the first equation we get:

-2 = A

Replacing that in the second one we will get:

-50 = -2*b²

-50/-2 = b²

25 = b²

√25 = b

5 = b

The exponential function is:

y = -2*(5)ˣ

Now we can evaluate this in x = -2, then we will get:

y = -2*(5)⁻² = -0.08

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