Based on the graph below, what are the new dilation vertices of triangle JKLM with vertices J(-6,2), K(-4,4), L(0,0) M(-2,-2): K= 5/2

Answer:

To solve this problem, simply divide the total amount earned by the time in months it took to earn this total.

Therefore, divide the income of $67,452 by the 12 months it took to earn this much.

Your answer, B) $5,621.

Hope this helps!

Answer:

B

Step-by-step explanation:

Step-by-step explanation:

this is your answer hope this may help you

Answer: Let the width of the rectangle be w and the length be l. We are given that the area of the rectangle is 45 cm^2, so we can write the equation:

w * l = 45

To find the lengths of the sides, we need to solve for w and l. We can divide both sides of the equation by any non-zero number to find an equivalent expression. For example, we can divide both sides by 9:

(w/9) * (l/9) = 45/9

Simplifying, we get:

w/9 * l/9 = 5

So, w/9 = 5/l and w = 5l/9.

Substituting the expression for w into the original equation, we get:

(5l/9) * l = 45

Expanding and simplifying, we get:

5l^2/9 = 45

Multiplying both sides by 9, we get:

5l^2 = 405

Dividing both sides by 5, we get:

l^2 = 81

Taking the square root of both sides, we get:

l = 9

So, the length of the rectangle is 9 cm. To find the width, we can substitute the value of l back into the expression we derived earlier:

w = 5l/9

w = 5 * 9 / 9

w = 5

So, the width of the rectangle is 5 cm.

The lengths of the sides of the rectangle, both exactly and approximately, are 9 cm and 5 cm.

Step-by-step explanation:

Answer:

fuimaa

Step-by-step explanation:

Answer:

8. 14

9. 14π

10. 49π

11. 1.75π

12. \(\frac{49}{12}\) π

Step-by-step explanation:

If the radius is 7, the diameter is 14.

Circumference is pi * diameter, so 14π

Area is π r², so 49π

Arc length is \(\frac{n}{360}\) * 2πr, so \(\frac{45}{360}\) * 14π = 1.75π

Sector Area is \(\frac{n}{360}\) * πr², so \(\frac{30}{360}\) * 49π = \(\frac{49}{12}\)π

The general solution of the given differential equation is:

y = (1/7) + C * \(exp(-x^7)\)

The exponential of the integral of the coefficient of y, in this case 7x6, provides the integrating factor. The integrating factor is given by the exponential of the integral of the coefficient of y, which in this case is 7x⁶.

The integrating factor is therefore exp(∫ 7x⁶ dx), which can be calculated as exp(x⁷/7).

Multiplying both sides of the differential equation by the integrating factor, we have:

exp(x⁷/7) * y' + 7x⁶ * exp(x⁷/7) * y = x⁶ * exp(x⁷/7)

Using the product rule on the left side, we can rewrite the equation as:

d/dx (exp(x⁷/7) * y) = x⁶ * exp(x⁷/7)

Integrating both sides with respect to x, we get:

exp(x⁷/7) * y = ∫ x⁶ * exp(x⁷/7) dx

The integral on the right side can be solved using integration by parts. Let's denote u = x⁶ and dv = exp(x⁷/7) dx. Then, du = 6x⁵ dx and v = 7/7 * exp(x⁷/7) = exp(x⁷/7).

Using the formula for integration by parts:

∫ u dv = uv - ∫ v du

We have:

∫ x⁶ * exp(x⁷/7) dx = x⁶ * exp(x⁷/7) - ∫ exp(x⁷/7) * 6x⁵ dx

Simplifying the integral on the right side, we obtain:

∫ exp(x⁷/7) * 6x⁵ dx = 6 * ∫ x⁵ * exp(x⁷/7) dx

We can apply integration by parts again to this integral, with u = x⁵ and dv = exp(x⁷/7) dx.

Continuing this process, we will eventually reach an integral of the form ∫ exp(x⁷/7) dx, which can be expressed in terms of special functions called exponential integrals.

Once we have the value of this integral, we can substitute it back into the expression for the integral of x⁶ * exp(x⁷/7) dx.

Finally, we divide both sides of the equation by exp(x⁷/7) and solve for y:

y = (1/exp(x⁷/7)) * (∫ x⁶ * exp(x⁷/7) dx)

The resulting expression will give the general solution to the given differential equation.

To solve this linear first-order ordinary differential equation, we can use an integrating factor. The integral of the coefficient of y's exponential integral, in this case 7x⁶, provides the integrating factor.

The integrating factor is therefore exp(∫ 7x⁶ dx), which can be calculated as exp((7/7) * x⁷) = exp(x⁷).

Multiplying both sides of the differential equation by the integrating factor, we have:

exp(x⁷) * y' + 7x⁶ * exp(x⁷) * y = x⁶ * exp(x⁷)

We can rewrite this equation as follows:

d/dx (exp(x⁷) * y) = x⁶ * exp(x⁷)

Integrating both sides with respect to x, we get:

exp(x⁷) * y = ∫ x⁶ * exp(x⁷) dx

To evaluate this integral, we can make a substitution. Let's substitute u = x⁷, then du = 7x⁶ dx.

The integral becomes:

(1/7) ∫ exp(u) du = (1/7) * exp(u) + C = (1/7) * exp(x⁷) + C

Now, dividing both sides of the equation by exp(x⁷), we have:

y = (1/7) + C * exp(-x⁷)

Therefore, the general solution of the given differential equation is:

y = (1/7) + C * exp(-x⁷)

where C is an arbitrary constant.

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The given series, ∑(k=1 to infinity) ln(k)/k, converges. To determine whether the series converges or diverges, we can analyze it using the limit comparison test.

Let's consider the harmonic series ∑(k=1 to infinity) 1/k, which is a well-known divergent series. We can compare our given series with the harmonic series by taking the limit of the ratio of their terms as k approaches infinity.

lim(k→∞) (ln(k)/k)/(1/k) = lim(k→∞) ln(k) = ∞.

Since the limit of this ratio is infinite, it means that the given series grows faster than the harmonic series. As a result, our series also diverges. However, we need to be careful when using the limit comparison test. We should check if the terms of the series are positive, which is the case here. The positive terms and the divergence of the harmonic series confirm that our given series diverges. Therefore, the statement in the question that the series converges is incorrect. The series actually diverges.

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Answer:

1

Step-by-step explanation:

-5 is a constant because its a number on its own without a variable

Answer:

There is only 1 constant

Step-by-step explanation:

the constant is -5 because it's alone without any variables

Answer:

7x+y=-5

Step-by-step explanation:

-y=7x+5

7x+y=-5

Data that are left-skewed would include values that are unusually high.

A data is symmetric when it has a mirror image on both sides of the mean. For a symmetric data the mean = mode = median.

If the data is asymmetric, it can either be left-skewed or right-skewed. A left-skewed data has mots of its values greater than the mean. In this case the mean < median < mode. Left-skewed data mostly contains very less amount of values with smaller magnitudes.

Hence, data that are left-skewed would include values that are unusually high.

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Using translation concepts, a stretch of a decay exponential function is given by:

\(f(x) = 5\left(\frac{1}{5}\right)^x\)

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

An exponential decay function is given by:

\(y = ab^x\)

In which |b| < 1.

A stretch means that the function is multiplied by a factor with absolute value greater than 1, hence the function would be given by:

\(f(x) = 5\left(\frac{1}{5}\right)^x\)

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Answer:

700=700

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

         ∠1 + 128 =  180

               ∠1     = 180 - 128

            \(\sf \boxed{\bf \angle 1 = 52^ \°}\)

AB // CD and AC is transversal.

 \(\sf \boxed{\bf \angle 3 = 38^\circ}\)   {Alternate interior angles are equal}

In ΔACD,

      ∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

       ∠2 + 38 +63  = 180

               ∠2  + 101 =180

                         ∠2 = 180 - 101

                      \(\sf \boxed{\bf \angle 2 = 79^ \°}\)

Paige bought 32 songs in a month.

Let's break down the cost components in terms of an equation:

The monthly membership fee is $5.

The cost of each song is $0.10.

The total monthly cost is $8.20.

Let s represent the number of songs Paige purchases in a month.

The equation can be written as:

5 + 0.10s = 8.20

This equation represents the total cost of Paige's membership fee plus the cost of the songs she purchases, which equals the total monthly cost of $8.20.

To find the number of songs she bought, we can solve this equation for s.

Subtracting 5 from both sides:

0.10s = 8.20 - 5

0.10s = 3.20

Dividing both sides by 0.10:

s = 3.20 / 0.10

s = 32

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Value of cot690° is -√3 .

Given,

The circular measure of the angle is given as 690° .

Thus according to trigonometric ratios ,

Cot (690)

Further simplifying cot (690) in the known range of angles .

Then,

cot(690) = cot(720 - 30)

cot (720 - 30) = cot (-30)

cot(-30) = -√3

Hence the value of cot 690 will be -1.73 .

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Answer: Heyaa!

The Answer, x= −4

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Hopefully this helps you~

- Matthew :)

have an amazing day <3

Answer:

X = - 4

Step-by-step explanation:

3(2x+8) =0

6x + 24 = 0

6x = 0 - 24

6x = - 24

X = - 24/6

X = - 4

Hope this helpssssss

Answer:

5

Step-by-step explanation:

For this question, all we have to do, is simply look at the equation.

y = mx + b.

y = 5x - 2.

We know that b is -2.

So we can therefore know, that m  is 5.

In a log-linear model with variables wx, xy, and yz, the independence of variables w and z given x alone or given y alone. In this log-linear model, w and z are independent variables given x alone or given y alone.

1. When considering the independence of w and z given x, it means that the values of w and z are not influenced by each other once the value of x is known. Similarly, when considering the independence of w and z given y, it implies that the values of w and z are not influenced by each other once the value of y is known.

2. To understand this further, let's examine the log-linear model. The model assumes that the logarithm of the joint probability distribution of wx, xy, and yz can be expressed as the sum of three terms: one involving the parameters w, the second involving the parameters x and y, and the third involving the parameters z. By considering each term separately, we can see that the parameters w and z do not directly interact or affect each other.

3. Given x alone, the parameter w is only influenced by x, and similarly, given y alone, the parameter z is only influenced by y. As a result, the values of w and z can be considered independent given x alone or given y alone because the presence or absence of x or y does not affect the relationship between w and z. Therefore, in this log-linear model, w and z are independent variables given x alone or given y alone.

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There is a 9.1% chance that a chicken of this particular breed will lay 248 eggs in a year.

A normal distribution is a continuous probability distribution described by its mean (μ) and standard deviation (σ). The formula for a normal distribution is:

\(P(x) = (1/σ√2π) e^(-(x-μ)^2/2σ^2)\)

In this case, the mean (μ) is 225 and the standard deviation (σ) is 10.

To calculate the probability of a specific number of eggs being laid, we plug the mean and standard deviation into the normal distribution formula. For example, to calculate the probability of a chicken laying 248 eggs:

P(248) = 0.091

This means that there is a 9.1% chance that a chicken of this breed will lay 248 eggs in a year.

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The maximum monthly profit Mt. Nittany is  $23,100 and, for Happy Valley Rentals,  monthly profits will be approximately $23,100.

(a) To find the number of apartments Mt. Nittany should rent out each month to maximize profits, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900.

The x-coordinate of the vertex is given by -b/2a, where a = -7 and b = 980. So, x = -b/2a = -980/(2*(-7)) ≈ 70.

The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.

(b) Similarly, for Happy Valley Rentals, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900 when they manage 50 apartments.

The x-coordinate of the vertex is again given by

b/2a, where a = -7 and b = 980, but now we have x = -b/2a = -980/(2*(-7)) ≈ 70.

The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.

Therefore, both companies should rent out 70 apartments each month to maximize their profits, and their maximum monthly profits will be approximately $23,100.

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Answer:

B2/25

Step-by-step explanation:

because that it is the propability

The Average Variable Cost (AVC) Formula is a fundamental concept in economics and business management. It is used to calculate the average cost of producing one unit of a good or service, taking into account only the variable costs of production.

Variable costs are those costs that change with the level of production, such as raw materials and labor. Fixed costs, on the other hand, do not change with the level of production and include expenses such as rent and equipment.

The AVC formula is calculated by dividing the total variable costs of production by the number of units produced. This gives the average cost of producing each unit of the good or service, taking into account only the variable costs.

The value of the AVC formula lies in its ability to help managers and business owners understand the cost structure of their operations. By calculating the average variable cost, they can determine the minimum price they need to charge for their product or service in order to cover their costs and make a profit.

In addition, the AVC formula can be used to compare the efficiency of different production methods. By calculating the AVC for each method, managers can determine which method is the most cost-effective, taking into account only the variable costs.

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The drama club receives $7 for each ticket that they sell.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Given,

Amount received by school = x dollars

Amount received by school for 96 tickets = 96x

Amount received by drama club = remaining amount after school

Total amount of 96 tickets = 96x+672

Here,

96x is the share of school

672 is the share of drama club for 96 tickets.

Therefore;

96 tickets =672 dollars

1 ticket = 672/96

1 ticket = 7 dollars

The drama club receives $7 for each ticket that they sell.

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The fifth term of the arithmetic sequence is -1190.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. To find the fifth term, we can use the formula for the nth term of an arithmetic sequence:

aₙ = a₁ + (n - 1) * d

where aₙ represents the nth term, a₁ is the first term, n is the position of the term, and d is the common difference.

Given that the 100th term is -1240 and the common difference is -25, we can substitute these values into the formula.

Since the fifth term corresponds to n = 5, we can calculate:

a₅ = -1240 + (5 - 1) * (-25)

= -1240 + 4 * (-25)

= -1240 - 100

= -1340

Therefore, the fifth term of the arithmetic sequence is -1190.

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Answer:

1500.110 - 0.157x - 5.853x² ;

1124.262

Step-by-step explanation:

Given the data:

Price __ Sales

3 ____1447

5 ___ 1353

7 ____ 1212

9 ____1025

11 ____790

13 ____509

Usibg the quadratic regression calculator :

1500.110 - 0.157x - 5.853x²

If ticket price = $8 each

Ticket sales will be :

y = 1500.110 - 0.157(8)- 5.853(8^2)

= 1124.262

Answer:

I think it's A (parallel)

Answer:

A. its parallel

Step-by-step explanation:

all angles are equal... two sides are perpendicular and two are parallel

Answer:

14a + 6b

Step-by-step explanation:

To expand use distributive property. a*(b +c) =a*b +a *c

Simplifying an expression

2*(3a - 5b + 4*(a+2b) = 2*(3a -5b + 4*a +4*2b)

                                  = 2*(3a - 5b + 4a + 8b)

                                  = 2* (3a + 4a - 5b + 8b)

Combine like terms.  To combine like terms, add or subtract the coefficient of the variables. 3a and 4a   & (-5b) and 8b are like terms  

                                 = 2*( 7a + 3b)  

                                 = 2*7a + 2*3b

                                 = 14a + 6b

Hey there!

2(3a - 5b) + 4(a + 2b)

= 2(3a - 5b) + 4(1a + 2b)

= 2(3a) + 2(-5b) + 4(1a) + 4(2b)

= 6a - 10b + 4a + 8b

= (6a + 4a) - (10b + 8b)

= 6a + 4a - 10b + 8b

= 10a - 2b

Therefore, your answer is: 10a - 2b

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

5

Step-by-step explanation:

8 times 6 is 48. 5 boxes times 10 in each one is 50 cookies.

Number of boxes Ricky needs to get to a party is equals to 5 boxes.

" A word problem is a mathematical problem in which we represents the real life examples with the help of mathematical operation."

According to the question,

Number of friends invited in a party = 8

Number of cookies given to each friend = 6

Total number of cookies required for 8 friends = 8 × 6

                                                                             = 48 cookies

Number of cookies in each box = 10 cookies

Number of boxes for 1 cookie = 1 / 10

Number of boxes for 48 cookies = (1 / 10) × 48

                                                      =  4.8

                                                      = 5 boxes (Number of boxes cannot be    

                                                                             in decimals)

Hence, number of boxes Ricky needs to get to a party is equals to 5 boxes.

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