the question is in the attached file

Answer:

Area of a square with side lengths of 12: 144 units^2

Area of a square with side lengths of 2.5 units: 6.25 units^2

Step-by-step explanation:

To find the area of a square using side lengths you need to square the length of the side.

For the first question you square 12, so 12 x 12 would give you your area. Therefor the area is 144 units^2

For the second question you square 2.5, so 2.5 x 2.5 would give you the area. Therefor the area is 6.25 units^2

Answer:

answer is B

Step-by-step explanation:

he goes up

To yield the quotient, 6 has to get multiply by 3.

Simplification of an expression is the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

For the given situation,

The expression is the quotient of 3 divided by 1/6,

⇒ \(\frac{3}{\frac{1}{6} }\)

⇒ \((3)(6)\)

Thus multiply 3 by 6 yields the quotient.

Hence we can conclude that to yield the quotient, 6 has to get multiply by 3.

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Answer:

\(\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502\)

Step-by-step explanation:

To solve the problem, we need to write each fraction in decimal form.

Notice that each denominator is 10 based, which means we only have to move the decimal point according to the total number of zeros have the denominators. If the denominator is 10, we move the decimal point one spot to the left, if the denominator is 1000, we move the decimal point three spots to the left, and so on.

\(\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502\)

Answer:

k = \(\frac{1}{5}\)

Step-by-step explanation:

Given that r varies directly as p then the equation relating them is

r = kp ← k is the constant of variation

To find k use the condition r = 3 when p = 15, then

3 = 15k ( divide both sides by 15 )

\(\frac{3}{15}\) = k , that is

k = \(\frac{1}{5}\)

Answer:

k = 1/5

Step-by-step explanation:

Answer:

$122.28

Step-by-step explanation:

Give the following :

Insurance worth = $240,000

Price sold = $225

P(survival) = 0.999572

P(death) = 1 - 0.999572 = 0.000428

If she survives, insurance firm makes $225

If she dies, insurance firm pays $240,000, hence the company losses :

$(225 - 240,000) = $−239775

Expected value (E(x)) = sum of P(i) * X(i)

E(x) = (P(survival) * profit made) + (P(death) * loss incurred)

E(x) = (225 * 0.999572) + (0.000428 * −239775)

= 224.9037 - 102.6237

=$ 122.28

Answer:

$773.3587

Step-by-step explanation:

The probability that the female survives = 0.999572

therefore, probability that female dies = 1-0.999572 = 0.000428

if the female survives the insurance company makes = $225

x=$250

If the female dies the insurance company pays $240,000.

So, the amount with the company = 240000-225 = $ 2390775

Therefore Expected value = 250(0.999572)-2390775(0.000428)= $773.3587

Answer: 8

Step-by-step explanation:

2*3= 6
\(\frac{2}{3}\)*3= 2

The probability that the next two offspring will both be girls is 1/3.

To find P both children are girls

A: Event that both children are girls

A: {MM} and B: {MF, FM, MM} →→ P (A ∩∩ B) = {MM}

Probability that both are males, if we know one is a female =P(A/B)=P(A∩B)/P(B)

(P(A∩B)P(B))

Given S = {MM, MF, FM, FF}, we can see that: P (A) = 1414; P (B) = 3434; P (A ∩∩ B) = 1414

Therefore,

P(B/A)=P(A∩B)/P(A) = (1/4)/(3/4)=1/3.

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The stochastic process for the function G = G(S, t) is given by:

\(\[dG = \frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\]\)

The stochastic process for G^2 is given by:

\(\[d(G^2) = \left[2G\frac{\partial G}{\partial t} + \left(\frac{\partial G}{\partial t}\right)^2 + 2G\frac{\partial G}{\partial S} + \left(\frac{\partial G}{\partial S}\right)^2\right]dt + 2G\frac{\partial^2 G}{\partial S^2}(dS) + \left(\frac{\partial G}{\partial t}\right)^2(dt)^2 + \left(\frac{\partial G}{\partial S}\right)^2(dS)^2\]\)

Let us now analyze each section in a detailed way:

i) Using Ito's lemma, we can find the stochastic process \($dG$\) followed by \($G^2$\) as follows:

Applying Ito's lemma to \($G(S, t)$\), we have:

\(\[dG = \frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2.\]\)

For \($G = G(S, t)$\), the first term \($\frac{\partial G}{\partial t}dt$\) is straightforward as it is the partial derivative of \($G$\) with respect to \($t$\) multiplied by \($dt$\).

The second term \($\frac{\partial G}{\partial S}dS\) can be obtained by taking the partial derivative of $G$ with respect to \($S$\) and multiplying it by \($dS\).

The third term \($\frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\) involves the second partial derivative of \($G$\) with respect to \($S$\), and it is multiplied by \($(dS)^2\).

ii) To find the stochastic process for $G^2$, we substitute $G = G(S, t)$ into the equation derived above:

\(\[d(G^2) = 2GdG + (dG)^2.\]\)

Expanding and substituting the value of $dG$, we get:

\(\[d(G^2) = 2G\left(\frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\right) + \left(\frac{\partial G}{\partial t}dt + \frac{\partial G}{\partial S}dS + \frac{1}{2}\frac{\partial^2 G}{\partial S^2}(dS)^2\right)^2.\]\)

Simplifying the above expression, we can write:

\(d(G^2) &= \left[2G\frac{\partial G}{\partial t} + \left(\frac{\partial G}{\partial t}\right)^2 + 2G\frac{\partial G}{\partial S} + \left(\frac{\partial G}{\partial S}\right)^2\right]dt &\quad+ 2G\frac{\partial^2 G}{\partial S^2}(dS) + \left(\frac{\partial G}{\partial t}\right)^2(dt)^2 + \left(\frac{\partial G}{\partial S}\right)^2(dS)^2.\)

The above equation represents the stochastic process for $G^2$.

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Answer:

Option A

Step-by-step explanation:

Consider the Fibonacci series:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...

Ignore the first 3 terms ( keys)

f(5)/f(4) = 5/3 = ~1.67

f(6)/f(5) = 8/5 = 1.60

f(7)/(f6) = 13/8 = ~1.63

f(8)/f(7) = 21/13 = ~1.61

f(9)/f(8) = 34/21 = ~1.62

f(10)/f(9) = 55/34 = ~1.62

...

=> Option A is the solution

The given property “If AB=CD then CD=AB” is known as the symmetric property. Symmetric property is a type of equivalence relation in mathematics that states that if the relation between two elements is in the form of "if A is related to B, then B is related to A," then this type of relation is symmetric.

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Answer:

4times1/4(y-(-25/4))=(x-(-3/2)) small 2

4p(y-k)=(x-h)small 2

something like that I belive

or just y>xsmall2+3x-4

Answer:

A and C

Step-by-step explanation:

Answer:

The answer is -8

Step-by-step explanation:

Here's a key

()= Do first

/ = Divide

If something is outside the () and there is no symbol then multiply.

The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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The measure of the central angle indicated is 270 degrees

The term "diameter" refers to a straight line segment that passes through the center of a circle or a sphere, connecting two points on the circumference or surface of the circle or sphere. In other words, it is the longest distance that can be measured between two points on the edge of the circle or sphere, passing through its center.

To find the measure of the central angle indicated, we need to first identify the endpoints of the diameter that contains points W, T, and X. Let's assume that this diameter is WX. Then, we can find the measure of the central angle WTX by finding the measure of the arc WT and dividing it by 2.

We know that the diameter WX passes through the midpoint of segment VT, which we can find by averaging the coordinates of V and T. Using the coordinates given in the diagram, we have:

V: (9x-2, 15x+10)

T: (15x+10, 9x-2)

Midpoint of VT: ((9x-2 + 15x+10)/2, (15x+10 + 9x-2)/2)

= (12x + 4, 12x + 4)

Since this midpoint lies on the diameter WX, we can find the coordinates of point X by reflecting the midpoint across the y-axis:

X: (-12x - 4, 12x + 4)

Now we can find the measure of the arc WT by finding the difference between the angles formed by radii WT and WX. Let's call the center of the circle O:

m∠WOT = 90 degrees (since WT is a diameter)

m∠WOX = 180 degrees (since WX is a diameter)

m∠TOX = m∠WOT - m∠WOX = -90 degrees

To convert this angle to a positive measure, we can add 360 degrees:

m(arc WT) = m∠WOT - m∠TOX + 360 degrees = 90 degrees - (-90 degrees) + 360 degrees = 540 degrees

Finally, we can find the measure of the central angle WTX by dividing the measure of arc WT by 2:

m∠WTX = m(arc WT)/2 = 540 degrees/2 = 270 degrees

Therefore, the measure of the central angle indicated is 270 degrees

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Two problem questions for the default cases could be:

To create problem questions about a topic, we must take into account the data we have about that problem in order to pose a question that expands our knowledge about it or that is adapted to the information we already know.

According to the above, in the case of couples and individuals waiting in the elevator, we must create questions taking into account the hypothetical cases in which there are 3 couples and 6 separate people.

So, the questions we can create are:

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Answer:

  y = -1/12(x -4)² -1

Step-by-step explanation:

The vertex form equation for a parabola is ...

  y = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'

The vertex coordinates are given. To find the scale factor, we substitute the given point.

  -181/12 = a(-9 -4)² -1 . . . . . substitute the given values into the equation

  -181/12 = 169a -1 . . . . simplify a bit

  -169/12 = 169a . . . . add 1

  a = -1/12 . . . . . . . multiply by 1/169

The vertex form equation of the parabola is ...

  y = -1/12(x -4)² -1

Answer:

24

Step-by-step explanation:

Answer:

Hi here is your answer , ummm Actually while I did the solution..I found the slope is undefined and the graph hence vertical! you can get more help through internet by searching " what happens to the graph and slope when denominator of the slope is 0 " !

Answer:

32

Step-by-step explanation:

the probability of risk increases with the extension of supply chain. The more we enlarge our business the more possibility of risk.

A supply chain refers a system of connection of the business elements such as raw materials, products, resources, profit, loss as well as all the activities of a running business organization.

the extent of possibility of occurring unexpected incident in a business. while going on with our business, we wish to extend our organization so as to earn reputation as well as gaining outstanding outcomes. But at the same time the chance of getting bad outcomes rises. It is termed as probability of risk.

hence, the above expression risk rises with increasing supply chain is true.

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The relationship between the optimal levels in the Complete Model of the Household can be explained by the intertemporal budget constraint and the condition given that β(1+r) = 1.

The intertemporal budget constraint states that the present value of lifetime consumption must equal the present value of lifetime income. This can be expressed as:

C + C'/(1+r) = Y + Y'/(1+r)

where Y represents income today and Y' represents income tomorrow.

Given the condition β(1+r) = 1, we can rewrite the intertemporal budget constraint as:

C + C'/(1+r) = Y + Y'/(1+r)

Since β(1+r) = 1, we have β = 1/(1+r). Substituting this into the intertemporal budget constraint, we get:

C + C'/(1+r) = Y + Y'/(1+r)

Now, if we rearrange the equation, we can isolate C':

C'/(1+r) = Y'/(1+r) - C + Y

Multiplying both sides by (1+r), we have:

C' = (1+r)(Y' - C + Y)

From this equation, we can see that the optimal level of consumption tomorrow (C') is determined by the difference between tomorrow's income (Y') and the difference between today's consumption (C) and today's income (Y), all scaled by (1+r).

In summary, the relationship between the optimal levels of consumption today and consumption tomorrow is influenced by the subjective discount factor β and the interest rate (r). The optimal level of consumption tomorrow is determined by the difference between tomorrow's income and the difference between today's consumption and today's income, scaled by (1+r).

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Answer:

?=2

Step-by-step explanation:

1. Solve

?/10+8/100=28/100

?/10+8/100-8/100=28/100-8/100

?/10=20/100

2. Simplify

20/100=2/10

so, ?/10=2/10

3. Check

2/10+8/100=28/100

20/100+8/100=28/100

28/100=28/100

Correct !

4. Answer

The area of the triangle is equal to 12 mm².

The area of a triangle is given by the formula:\(A=\frac{bh}{2}\), where:

 b= length of the base;

  h=height

From the figure, it is possible to see that h= base of rectangle - 4 mm. Then, the height of the triangle(h)= 10-4=6 mm.

You can see that the sum of the base of the triangle with the height of the rectangle is equal to 12 mm. The figure also shows that the height of this rectangle is equal to 8 mm. Thus, the  base of the triangle(h)= 12-8=4 mm.

STEP 2 - Find the area of the triangle.

From step 1:

    b= length of the base= 4

    h=height=6

Therefore, the area of the triangle - \(A=\frac{bh}{2}=\frac{4 * 6}{2}=\frac{24}{2} =12 mm^2\).

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Answer:

56 Hours A Week... how long is the course though?

Step-by-step explanation:

The points B, C, H, I lie on a single circle, then O lies on this circle too.

For given question,

We have been given I, O, H be the incenter, circumcenter, and orthocenter of an acute triangle ABC, respectively

In an acute ΔABC, O is circumcenter. Thus, by applying the inscribed angle theorem to the circle, we have:

∠BOA = 2∠BAC.               ..................(1)

Assuming H is orthocenter; Thus, the angle formed by angles BAC and BC at H are supplementary angles:

∠BAC + BHC = 180°.

BHC = 180° - ∠BAC.           ...................(2)

Assuming I is incenter; Thus, the angle formed by BIC is given by:

∠BIC = 90° + ∠A/2.            ...................(3)

Since points B, C, H, I lie on a single circle and the angles formed in the same side of an arc of a circle are equal, we have:

BIC = BHC                           ...................(4)

Substituting the parameters into equation (4), we have;

⇒ 180° - ∠BAC = 90° + ∠A/2

⇒ ∠BAC + ∠BAC/2 - 3∠BAC/2 = 180° - 90°

⇒ ∠BAC = 90° × 2/3

⇒ ∠BAC = 60°.

From equation (1), we have:

⇒ ∠BOA = 2∠BAC.

⇒ ∠BOA = 2 × 60

⇒ ∠BOA = 120°.

Hence, this proves that since points B, C, H, I lie on a single circle, then O lies on this circle too.

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The value of f(x) when x=10 is 13.

Given,

F(x)=x/2+8

x=10

F(x)=10/2+8

=5+8=13.

Thus, the value of F(x) is 13 when x=10.

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Answer:

---------------------

Substitute 10 for x in the given equation:

Answer:

4+4+1

Step-by-step explanation:

Answer:

4 + 4 + 1

Step-by-step explanation:

4 + 4 + 1 = 9

4 + 5 = 9

They both equal up to 9