For the dilation, is the image J'K'L' M' an enlargement or reduction of JKLM? What is the scale factor?yAJK'K-2OM-3The image is a(n)The scale factor n =M'24L'

Answer:

here you go. hope this helps

Answer:

-4.23205080...

Step-by-step explanation:

Answer:

BC = 21 cm

Step-by-step explanation:

In similar triangles the corresponding sides are in same proportion.

Its given in the sum that AC = 12 cm; DF = 20 cm and EF = 35 cm.

      \(\sf \dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\\\\\\\dfrac{AC}{DF}=\dfrac{BC}{EF}\\\\\dfrac{12}{20}=\dfrac{BC}{35}\)

     \(\sf \dfrac{12}{20}*35=BC\\\\\\\dfrac{12}{4}*7=BC\\\\\\3*7=BC\\\\ \boxed{BC = 21 cm}\)

9514 1404 393

Answer:

  1.  a. 1/4

  2.  c. 1/3

Step-by-step explanation:

1. P(g | b) = P(g&b)/P(b) = (1/11)/(4/11) = 1/4

__

2. P(b | g) = P(g&b)/P(g) = (1/11)/(3/11) = 1/3

_____

Comment on the solutions

Here, we have used the probabilities, which required that we determine the total number of people as well as the number in each circle. One could just as easily use only the numbers in the relevant circle.

1. of the 4 folks with brown hair, 1 has green eyes, so 1/4 is the probability of green eyes, given brown hair.

2. of the 3 folks with green eyes, 1 has brown hair, so 1/3 is the probability of brown hair, given green eyes.

Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.

Quantitative variables are measured with numbers. Some examples include:

Weight measured in kilos

The distance measured in meters or kilometers

Time measured in seconds or hours

On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:

Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.

Moreover, variables can be classified as:

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The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.

To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.

Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)

= (-8/2, -4/2)

= (-4, -2)

The midpoint of the line segment is (-4, -2).

Next, we need to find the slope of the line segment using the slope formula:

Slope = (y2 - y1)/(x2 - x1)

Slope = (-6 - 2)/(-1 - (-7))

= (-6 - 2)/(-1 + 7)

= (-8)/(6)

= -4/3

The slope of the line segment is -4/3.

Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.

Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)

y + 2 = (3/4)x + 3

y = (3/4)x + 1.

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The solution is, the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

First, if we have a polynomial that the form is as follow

P(x,y)=a1x^n-1y^p-1+ a2x^n-2y^p-2 + . . . . + a0xy+c,

the degree can be found with the sum of the highest value of power of each term.

If the number of term is 3, it is called trinomial, if it is 2, the polynomial is called binomial.

So in our case, 0– 5xy3 + 9x2y is a binomial with a degree of 4, because number of term 2, degree =1 + 2 =3, upper than 2+ 1(the second term) 4xy^3– 5xy3 + 9x2y = -xy3 +9x2y, binomial degree 4,

and the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.

Hence, The solution is, the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.

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Answer:

B. $750

Step-by-step explanation:

600÷100=6

720÷120=6

840÷140=6

so the difference between all of them is x6

this means we times 125 by 6

125×6=750

Answer: B. $750

Step-by-step explanation:

     If all of the apartments are proportional by the dollar to the area, we will find the constant of proportionality by dividing.

           $600 / 100 m² = 6 $/m²

     Next, we will multiply the area of apartment 3 by this value to find the rent dollar amount.

           125 m² * 6 $/m² = $750

The antiderivative from 1 to infinity is 1.

To use the Integral Test, we need to check whether the series:

∑ (ln(n))/n² from n = 1 to infinity

converges or diverges by comparing it to the integral:

∫ (ln(x))/x² dx from x = 1 to infinity

Using integration by parts, we can solve this integral:

u = ln(x) dv = dx/x²

du = 1/x dx v = -1/x

∫ (ln(x))/x² dx = -ln(x)/x + ∫ dx/x²

= -ln(x)/x - 1/x + C

Evaluating the antiderivative from 1 to infinity:

= [(-ln(infinity)/infinity - 1/infinity) - (-ln(1)/1 - 1/1)]

= 1

Since the integral is finite and positive, and the series terms are positive, we can conclude that the series converges by the Integral Test.

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Answer:

x=300

Step-by-step explanation:

138=46%x

x=300

hope this helps!

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

46% = 138

100% = 300

The total number of cupcakes sold on that day is 300.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Number of mocha cupcakes sold in a day = 138

The percentage of mocha cupcakes sold in a day = 46%

The percentage of total cupcakes sold in a day = 100%

Now,

46% = 138

Multiply 100/46.

100/46 x 46% = 100/46 x 138

100% = 300

Thus,

The total number of cupcakes sold on that day is 300.

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a) The probability that at least one of the two young adults selected is living in his or her parent’s home is; 0.74.

b) The probability both young adults selected are living on their own is; 0.26

We are given the events as;

M = the event a male young adult is living in his parent’ home

F = the event a female young adult is living in her parent’ home

We are also given that;

Probability that a male young adult is living in his parent’ home; P(M) = 0.56

Probability that a female young adult is living in her parent’ home; P(F) = 0.42

a) The probability that at least one of the two young adults selected is living in his or her parent’ home is;

P(at least one of the two young adults selected is living in his or her parents home) = P(M or F) = P(M) + P(F) - P(M and F)

= 0.56 + 0.42 - 0.24 = 0.74.

B) The probability both young adults selected are living on their own which means neither is living with their parents is;

P(neither living with parents) = 1 - P(M or F)

= 1 - 0.74 = 0.26.

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I'm not sure what the first and last question answers are sorry. But I know that the second question is 31 the third question is 10 and the fourth question is 12.

Answer:

200

Step-by-step explanation:

25 cars can be washed in a hour so we do 25×8=200

There exists no even integer with the given parameters

Consecutive even integers are integers that have a difference of 2

i.e x and x + 2

Where x is the lesser number

Using the given mathematical statement, we have

4x < 2(x + 2)

Divide by 2

2x < x + 2

Subtract x from both sides

x < 2

There is no even number less than 2

Hence, there exists no even integer with the given parameters

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Pigs love to eat bacon! I wonder why. But, you learn something new everyday! :)

Answer:

Answer:

S₂₇ = 1188

Step-by-step explanation:

using the given formula for \(S_{n}\) , that is

\(S_{n}\) = \(\frac{n}{2}\) (a₁ + \(a_{n}\) )

with a₁ = 5 and \(a_{n}\) = a₂₇ = 83 , then

S₂₇ = \(\frac{27}{2}\) (5 + 83) = 13.5 × 88 = 1188

Answer:

x=-4 x=2

Step-by-step explanation:

Divide both sides by 3

(x+1)^2=9

Take the square root of both sides

x+1=-3

x+1=3

Solve for X

x=-4

x=2

x=-4 x=2

Answer:

y<5/3 I believe. sorry if I am wrong!

105 watts

The middle wattage is found by taking the average of the highest and lowest wattages. To find the average, you add the two numbers together and then divide by 2. In this case, the lowest wattage is 60 and the highest is 150, so when we add these two numbers together, we get 210. Then, when we divide 210 by 2, we get 105. So the middle wattage is 105 watts.

The slope for the first piece of the tax function is given as follows:

0.1.

The slope for the second piece of the tax function is given as follows:

0.2.

It tells that for smaller salaries, the tax rate is of 10%, while for salaries on a second range, the tax rate is of 20%.

The slope of a linear function represents the rate of change of the output variable relative to the input variable.

For the first piece, when x increases by 5000, the output increases by 500, hence the slope m is given as follows:

m = 500/5000

m = 0.1.

For the second piece, when x increases by 5000, the output increases by 1000, hence the slope m is given as follows:

m = 1000/5000

m = 0.2.

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Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

circumference of circle=2πr=2×3.14×3.5=21.98=22

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

None of them are correct as the correct one is 0.345 (maybe you made a typo when typing the options)

Step-by-step explanation:

We can make:

\(\frac{345}{1000}\) which equals 0.345 km

The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\)  2. 2\(x^{0}\)\(y^{-2}\)

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08

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number one take the second

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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