Right triangle LMN has vertices L(7, –3), M(7, –8), and N(10, –8). The triangle is translated on the coordinate plane so the coordinates of L’ are (–1, 8). Which rule was used to translate the image? (x, y) → (x + 6, y – 5) (x, y) → (x – 6, y + 5) (x, y) → (x + 8, y – 11) (x, y) → (x – 8, y + 11)

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Step-by-step explanation:

Let q be the number of quarters and d be the number of dimes.

We have q + d = 32 and $0.25q + $0.10d = $5.

=> 5q + 2d = 100 and q + d = 32

Therefore we get q = 12 and d = 20. (12 quarters and 20 dimes)

The number of coins of quarters and dimes will be 12 and 20, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A collection of quarters and dimes has a total value of $5 and contains 32 coins.

Let 'x' be the number of quarters and 'y' be the number of dimes. Then the equations are given as,

x + y = 32                      ...1

0.25x + 0.10y = 5         ...2

From equations 1 and 2, then we have

0.25 x + 0.10 (32 - x) = 5

0.25 x + 3.2 - 0.10 x = 5

0.15 x = 1.8

x = 1.8 / 0.15

x = 12

Then the value of the variable 'y' is given as,

12 + y = 32

y = 32 - 12

y = 20

The number of coins of quarters and dimes will be 12 and 20, respectively.

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To find the measure of angle BOC, set the expressions for m∠AOD and m∠BOC equal and solve for x. Then substitute the value of x back into the expression for m∠BOC to find its measure, which is 30°.

To find the measure of angle BOC, we can set the expressions for m∠AOD and m∠BOC equal to each other and solve for x.

7x - 5 = 3x + 15

Subtract 3x from both sides: 4x - 5 = 15

Add 5 to both sides: 4x = 20

Divide both sides by 4: x = 5

Now that we know x = 5, we can substitute it back into the expression for m∠BOC to find its measure.

m∠BOC = (3x + 15)° = (3*5 + 15)° = 30°

Therefore, the measure of ∠BOC is 30°, which corresponds to option B.

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Answer:

18 in

Step-by-step explanation:

Answer:

18 in

Step-by-step explanation:

1 ft = 12 in

Hioe this helps. Pls give brainliest.

Answer:

B

Step-by-step explanation:

A give me 2'zero

b give me 9'zero

c give 8'zero

d gives 5 zero

e give me 4'zero

for example it give me two zero it 100

or if five 5 zero it 100000

hope this helps

Answer:

Step-by-step explanation:

go on mathify and ask

C) f is decreasing for x<0 because f′(x)<0 for x<0. , we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of f is f′(x)=x2−a2=(x−a)(x+a).

This implies that f′(x)<0 when x<−a or x>a. From the derivative, we can deduce that f is decreasing for x<0 because f′(x)<0 for x<0.

The derivative of the function f is f′(x)=x2−a2=(x−a)(x+a), where a is a positive constant. This means that the derivative is negative when x<−a or x>a. We can use this information to determine the behavior of the function. Since the derivative is negative when x is less than zero, we can conclude that the function f is decreasing for x<0 because f′(x)<0 for x<0.

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Answer:

10

Step-by-step explanation:

Do 40+8 first which is 48. then you think "what times four is 48" which is 12. so you need to add something to 2 to make 12. which is 10. A=10 :)

Hi!

your answer should be:

A=10

Reason being: 10+2=12, and 12x4=48. 8+40=48 as well.

The first function is a linear function while the second function is neither a linear nor exponential

A linear function is of the form f(x) = mx + c,

where m is the slope (or rate of change) and y-intercept

m = y2-y1 / x2-x1

An exponential function is of the form f(x) = abˣ

where a and b are constants

In a linear function, the slope must be constant. Also, in exponential function a and b must be constants

Given:

(x) 2 3 4

F(x) 5.5 7 8.5

For x = 2 and 3:

slope = 7-5.5 / 3-2 = 1.5

For x = 3 and 4:

slope = 8.5-7 / 4-3 = 1.5

The slope is the same, thus, it is a linear function

Note: f(x) = y

(x) 0 2 4

F(x) 2 5 9

This is not linear, check for exponential

y = abˣ

when x = 0, y =2

2 = ab⁰

a = 2

when x =2, y = 5

5 = 2b²

b² = 5/2

b = √(5/2)

when x =4, y = 9

9 = 2b⁴

b⁴ = 9/2

b = \(\sqrt[4]{(9/2)}\)

Since the b are not the same. Thus, this is an exponential function also

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The best inequality that represents the possible price of each DVD is P≤12.50, found by dividing the total cost of 4 DVDs ($50) by 4.

Let's assume the price of each DVD to be P dollars.

Then the total cost of 4 DVDs would be 4P dollars.

Since Nikki had money left on the gift card after the purchase, the cost of the DVDs must be less than or equal to $50, the value of the gift card.

So we have the inequality:

4P ≤ 50

Dividing both sides by 4, we get:

P ≤ 12.50

So the best inequality that represents the possible price of each DVD is D) P≤12.50.

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Answer:

Simple Interest for 1 year = 40/2 = 20

CI for 2 years = 20 + 20 + 1

The difference of Re 1 is due to the interest received on this interest.

Hence interest rate = 1/20 * 100 = 5

Interest for 1 year at 5% = 20

Hence principal = 20*100/5 = 400

Answer:

1/343    = .00291545

Step-by-step explanation:

= 1/(7*7*7) =

The value of the exponential equation is A = ( 1/343 ) = ( 1/7 )³

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 1/7 ) x ( 1/7 ) x ( 1/7 )   be equation (1)

On simplifying the equation , we get

A = ( 1/7 )³

Now , on further simplification , we get

A = ( 1/343 )

And , the value of A = 0.002915

Hence , the exponential equation is A = ( 1/7)³

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Answer:

help with what

Step-by-step explanation:

Answer:

4kt

Step-by-step explanation:

aint nobody say who gone die to today.

The largest possible area of rectangle with base on the x-axis and upper vertices on the curve \(y = 8 -x^{2}\) is \(\frac{64\sqrt{6} }{9}\).

It is given to us that -

The rectangle has the base on x-axis

The rectangle has its upper vertices on the curve \(y = 8 -x^{2}\) ----- (1)

We have to find out the largest possible area for the rectangle with given specifications.

We know that the area of a rectangle can be represented as -

\(A = xy\) ---- (2)

where,

\(x =\) length of the base of the rectangle

\(y =\) vertices of the curve = width of the rectangle

Since it is given to us that the rectangle has it base on the x-axis, therefore the length of the base of the rectangle = \(2x\) ---- (3)

Substituting equations (1) and (3) in equation (2), we have

\(A = xy\\= > A = (2x)(8-x^{2}) \\= > A = 16x-2x^{3}\)----- (4)

For the largest possible area, we know that -

\(\frac{dA}{dx}=0\) ---- (5)

Substituting equation (4) in equation (5), we have

\(\frac{dA}{dx}=0\\= > \frac{d}{dx}(16x-2x^{3}) =0\\ = > \frac{d}{dx}(16x)-\frac{d}{dx}(2x^{3} )=0\\= > 16-6x^{2} =0\\= > 6x^{2} =16\\= > x^{2} =\frac{16}{6} \\= > x=\frac{4}{\sqrt{6} }\)------ (6)

To find out the largest possible area, we have to put the value of x from equation (6) in the area of the rectangle in equation (4). So, we have

\(A = 16x-2x^{3}\\= > A = (16*\frac{4}{\sqrt{6} }) -[2(\frac{4}{\sqrt{6} } )^{3} ]\\= > A = \frac{16*4}{\sqrt{6} } -\frac{2*4*4*4}{\sqrt{6}*\sqrt{6}*\sqrt{6} } \\= > A = \frac{64\sqrt{6} }{9}\)

Therefore, the largest possible area of rectangle with base on the x-axis and upper vertices on the curve \(y = 8 -x^{2}\) is \(\frac{64\sqrt{6} }{9}\).

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The measure of the segment CD is 12 and CE is 8.

In a triangle, the centroid is the point of intersection of the three medians, which are line segments joining each vertex to the midpoint of the opposite side.

The centroid divides each median into two segments, with the distance from the centroid to the vertex being twice the distance from the centroid to the midpoint of the opposite side.

Let M be the midpoint of side AB, N be the midpoint of side AC, and P be the midpoint of side BC. Then, we have:

CD = 2DP

CE = 2DN

We are also given that DE = 15. Since D is the centroid, we have:

AD = BD = CD/3

AE = CE/3

DC + DP = PC

CE + DN = NE

AD + AE = DE

Using these relationships, we can find CD and CE:

CD = 2DP = 2(PC - DC) = 2((AD + DP) - (AD/3)) = 2(2AD/3) = 4AD/3

CE = 2DN = 2(NE - CE) = 2((AE + DN) - (AE/3)) = 2(2AE/3) = 4AE/3

To find AD and AE, we can use the fact that AD + AE = DE and AD = BD:

AD + BD = DE

AD + (2AD/3) = 15

5AD/3 = 15

AD = 9

AE = DE - AD = 15 - 9 = 6

Substituting these values into the equations for CD and CE, we get:

CD = 4AD/3 = 4(9)/3 = 12

CE = 4AE/3 = 4(6)/3 = 8

Therefore, CD = 12 and CE = 8.

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Answer:

Slope intercept form is y=-5/2x+9

Step-by-step explanation:

the y-intercept is −9 and the point is (0,−9)

the x-intercept is −3.6 and the point is (−3.6,0)

Explanation:

First, we find the slope and y-intercept

Now, the equation of a line is of the form

y=mx+c

Where,

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

Let us write the given line in the standard form:

y=−5x2−82⇒y=−5x2−9

Comparing y=mx+c

to the given equation, y=−5x2−9

m=−52 and c=−9⇒Slope =−52and

y-intercept =−9

Next, we work out the

x-intercept.

the x-intercept is the point where the line cuts the x-axis. i.e. to find the point when y=0.

The equation in slope-intercept form for the line is y = -5x/2+9

The slope intercept formula y = mx + c is used when you know the slope of the line to be examined and the point given is also the y intercept (0, c).

Given that, a line has equation 5x + 2y = 18

The general form of the slope-intercept form for the line is y = mx+c, where m is the slope and c is the y-intercept.

Therefore, the required equation will be =

5x+2y = 18

2y = 18-5x

y = -5x/2+9

Hence, the equation in slope-intercept form for the line is y = -5x/2+9

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Hi there!

\(\large\boxed{x = 9}\)

Both bases have an angle measure of 55°, so the triangle is isosceles.

An isosceles triangle has a different base while the remaining two side-lengths are equal, therefore:

x + 18 = 3x

Subtract x from both sides:

18 = 2x

Divide both sides by 2:

9 = x

Therefore, x = 9.

The area of the rectangular parking lot is 929.03 square meters.

Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:

Area = length × width

We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:

Area = 67.5 ft × 148 f

t= 9990 sq. ft

However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.

Area in square meters = Area in square feet × 0.092903

= 9990 sq. ft × 0.092903

= 929.03 sq meters

Therefore, the area is 929.03 square meters.

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The book is opened to pages 11 and 12.

How to get the product of the page

x * (x + 1) = 132

Expanding the equation, we get:

x² + x = 132

To solve for x, we need to rewrite the equation as a quadratic equation:

x²+ x - 132 = 0

Now, we can factor the quadratic equation:

(x - 11)(x + 12) = 0

This equation has two solutions for x:

x = 11

x = -12

Since page numbers cannot be negative, we discard the second solution. Thus, the left-hand page number is 11, and the right-hand page number is 11 + 1 = 12.

So, the book is opened to pages 11 and 12.

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Answer:

Yes it is.

Step-by-step explanation:

When we mix Fe(iron) to CuSO⁴ (Copper sulphate), Iron removes copper from CuSO⁴ and makes FeSO⁴. This happens because iron is more reactive than copper. We cannot remove iron from this solution now until any stronger element is added.

Answer:

(a) Chemical reaction of iron nail with copper sulphate solution in water.Iron displaces copper ions from an aqueous solution of copper sulphate.It is a single displacement reaction of one metal by another metal.Iron is placed above copper in the activity series.

Therefore, the estimated population of sharks would be approximately 368.2 (in hundreds) when the population of sardines decreases to 5 million.

To estimate the population of sharks when the population of sardines decreases from 6 million to 5 million, we can use the given derivative dx/dy.

Let's assume that x represents the population of sardines in millions and y represents the population of sharks in hundreds. We need to find dy/dx (the derivative of the population of sharks with respect to the population of sardines) and use it to estimate the change in the population of sharks.

Given that dx/dy = 367, we can write the derivative as dy/dx = 1 / (dx/dy).

dy/dx = 1 / 367

Now, we can estimate the change in the population of sharks when the population of sardines decreases by 1 million:

Change in x = 6 - 5 = 1 million

Estimated change in y = dy/dx * Change in x

Estimated change in y = (1 / 367) * 1

To find the estimated population of sharks, we add the estimated change in y to the initial population of sharks:

Estimated population of sharks = Initial population of sharks + Estimated change in y

Since the initial population of sharks is given as 367 (in hundreds), and the estimated change in y is a decimal value, we need to convert the estimated change in y to hundreds by multiplying it by 100:

Estimated population of sharks = 367 + (1 / 367) * 1 * 100

Calculating this expression gives us the estimated population of sharks when the population of sardines decreases to 5 million.

Estimated population of sharks ≈ 368.2 (to one decimal place)

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Answer:

C is the answer.

0.75 = 3/4

1 = 4/4, 1-0.25 = 0.75

4/4 -1/4 = 3/4

Step-by-step explanation:

Answer:

$10 to $11

Step-by-step explanation:

$1100÷100=$11

$1550÷150=$10.3333333333

Answer:

Las mujeres representan el 50.63% de la población.

Step-by-step explanation:

Este problema es un problema de proporciones el cual puede resolverse usando una regla de tres.

El problema nos dice que la población total de Colombia es de 49,821,512 y nos pide calcular qué porcentaje representa el total de mujeres que es igual a 25,228,444. Si llamamos x al porcentaje de mujeres podemos representar esto de la siguiente manera mediante una regla de tres:

Población      Porcentaje

49, 821,512       100%

25,228,444        x%

Resolviendo para x tenemos que:

\(x=\frac{25,228,444(100)}{49,821,512}=\frac{2,522,844,400}{49,821,512}= 50.6376\)

Por lo tanto, las mujeres representan el 50.63% de la población.

The table and a pie chart to represent this information is shown below.

For the total number of people based on their favourite colour, we have the following:

Total number of people = 30 + 10 + 50 + 10

Total number of people = 100.

Next, we would determine the angles based on their favourite colour as follows;

Red

30/100 × 360 = 108°

Blue

10/100 × 360 = 36°

Green

50/100 × 360 = 180°

Yellow

10/100 × 360 = 36°

Therefore, the table should be completed as follows;

Colour              Frequency              Angle in degrees.

Red                      30                              108°

Blue                      30                              36°

Green                   30                              180°

Yellow                   30                              36°

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:0.38 inch

Step-by-step explanation: If it rains 0.72 inch on Monday and on Tuesday it rains 0.34 less inch then, you would have to subtract them to get 0.38 inch aka answer.

Answer: The answer is 0.38 inches

Step-by-step explanation:

The question said that on Tuesday, it rain 0.34 less than on Monday which mean to subtract. Therefore, 0.72-0.34=0.38 inches.

I hope it helps :)

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

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Answer:

\( \frac{3 {x}^{2} }{ {y}^{2} {z}^{6} } \)

Step-by-step explanation:

I have attached the explanation above. hopefully this will help

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

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