Point L is the midpoint of JK . JK intersects MK at K . If MK ≅ JL , prove that LK ≅ MK

18 7/10 liters of milk does he milk from both cows.

According to the question

Mr. benjamin milk 8 1/5 from the black cow and 10 1/2 liters of the brown cow

Milk from both cows

= 8 1/5 + 10 1/2

converting mixed fraction into proper fraction

8 1/5 = \(\frac{8 \times 5 +1}{5}\) = 41/5

10 1/2 = \(\frac{10 \times 2 +1}{2}\) = 21/2

= \(\frac{41}{5} +\frac{21}{2}\)

= \(\frac{2 \times 41+21 \times 5}{10}\)

= \(\frac{82+105}{10}\)

= \(\frac{187}{10}\)

converting fraction into mixed fraction

= \(\frac{180+7}{10}\)

= 18 7/10

Therefore,

18 7/10 liters of milk does he milk from both cows.

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Answer:

The volume of cone is 125600.

Step-by-step explanation :

GIVEN :

TO FIND :

USING FORMULAS :

\(\dashrightarrow{\sf{{(l)}^{2} = {(r)}^{2} + {(h)}^{2}}}\)

\(\dashrightarrow{\sf{V_{(Cone)} = \dfrac{1}{3} \pi {r}^{3}h}}\)

SOLUTION :

Firstly, finding the height of cone by substituting all the given values in the formula :

\( \begin{gathered} \qquad{\dashrightarrow{\sf{{(l)}^{2} = {(r)}^{2} + {(h)}^{2}}}} \\ \\\qquad{\dashrightarrow{\sf{{(25)}^{2} = {(15)}^{2} + {(h)}^{2}}}} \\ \\ \qquad{\dashrightarrow{\sf{(625) = (225)+ {(h)}^{2}}}} \\ \\ \qquad{\dashrightarrow{\sf{{(h)}^{2} = 625 - 225}}} \\ \\ \qquad{\dashrightarrow{\sf{{(h)}^{2} = 400}}} \\ \\ \qquad{\dashrightarrow{\sf{h = \sqrt{400}}}} \\ \\ \qquad{\dashrightarrow{\sf{\underline{\underline{h = 20}}}}} \end{gathered}\)

Hence, the height of cone is 20.

\(\rule{200}2\)

Now, calculating the volume of cone by substituting all the given values in the formula :

\( \begin{gathered} \qquad{\dashrightarrow{\sf{V_{(Cone)} = \dfrac{1}{3} \pi {r}^{3}h}}} \\ \\ \qquad{\dashrightarrow{\sf{V_{(Cone)} = \dfrac{1}{3} \times 3.14 \times {(20)}^{3} \times 15}}} \\ \\ \qquad{\dashrightarrow{\sf{V_{(Cone)} = 3.14 \times {(20)}^{3} \times 5}}} \\ \\ \qquad{\dashrightarrow{\sf{V_{(Cone)} = 3.14 \times 8000 \times 5}}} \\ \\ \qquad{\dashrightarrow{\sf{V_{(Cone)} = 15.7\times 8000}}} \\ \\ \qquad{\dashrightarrow{\sf{\underline{\underline{V_{(Cone)} = 125600}}}}}\end{gathered}\)

Hence, the volume of cone is 125600.

Answer:

283,957 cameras

Step-by-step explanation:

Profit generated =  cost  - Revenue

Given

Cost function C(x) = 3.5x + 185000

Revenue function R(x) = x(125 -0.0005x)

Profit =  $6,000,000

To get the value of x, we will substitute the given parameters into the formula as shown;

$6,000,000 = 3.5x + 185000 - x(125 -0.0005x)

$6,000,000 = 3.5x + 185000 - 125x +0.0005x²

0.0005x²-121.5x + 185000 - 6,000,000 = 0

0.0005x²-121.5x-5815000 = 0

On solving the resulting quadratic equation

x = 283,956.91736581  and -40956.917365805

Ignoring the negative value, the minimum camera that must be sold is approximately  283,957 cameras

Answer:

9/10

Step-by-step explanation:

36/4=9

40/4=10

Answer:

2m²

Step-by-step explanation:

Apply the prime factorization method: 2³m², 2 · 5m⁴

Find the greatest common divisor: 2m²

Answer: 2m²

Answer:

Only external forces affect the motion of a system, according to Newton's first law. ... force applied to a car produces a much smaller acceleration than when ... Newton's second law states that a net force on an object is responsible for its ... A 1.0-kg mass thus has a weight of 9.8 N on Earth and only about 1.7 N on the Moon.

Step-by-step explanation:

Only external forces affect the motion of a system, according to Newton's first law. ... force applied to a car produces a much smaller acceleration than when ... Newton's second law states that a net force on an object is responsible for its ... A 1.0-kg mass thus has a weight of 9.8 N on Earth and only about 1.7 N on the Moon.

Answer:

y = x-7

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

2y -2x = -14

Add 2x to each side

2y-2x+2x= 2x-14

2y = 2x-14

Divide by 2

2y/2 = 2x/2 -14/2

y = x-7

The least squares approximating line y=zo + zıx is y = 1.80 - 1.00x.

Least squares is a method used to approximate the line of best fit for a set of data points.

In the first set of data points, (1, 1), (3, 2), (4, 3), (6, 4), the least squares approximating line for this set of data points is y = 0.78 + 0.84x.

For the second set of data points, (2, 4), (4, 3), (7, 2), (8, 1), the process is the same.

The least squares approximating line for this set of data points is y = 2.47 - 0.18x.

The least squares approximating line for the third set of data points, (-1, -1), (0, 1), (1, 2), (2, 4), (3, 6), is y = 0.33 + 1.33x.

The least squares approximating line for the fourth set of data points, (-2, 3), (-1, 1), (0, 0), (1, -2), (2, -4), is y = 1.80 - 1.00x.

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The probability that at least two of the three computers will malfunction is 0.0009.

Let's calculate the probability that exactly two computers will malfunction and the probability that all three computers will malfunction. We can then sum these probabilities to get the probability of at least two computers malfunctioning.

The probability that exactly two computers will malfunction can be calculated using the binomial distribution. We have three computers (n = 3), and the probability of any one computer malfunctioning is 0.03 (p = 0.03). So the probability that exactly two computers will malfunction is given by:

P(2 computers malfunction) = C(3, 2) * (0.03)^2 * (1 - 0.03)^1 = 3 * 0.0009 * 0.97 = 0.0027.

The probability that all three computers will malfunction is given by:

P(3 computers malfunction) = (0.03)^3 = 0.000027.

Now, we need to calculate the probability of at least two computers malfunctioning, which is the sum of the probabilities calculated above:

P(at least two computers malfunction) = P(2 computers malfunction) + P(3 computers malfunction) = 0.0027 + 0.000027 = 0.002727.

Rounded to four decimal places, the probability that at least two of the three computers will malfunction is 0.0009.

By employing triple redundancy, the probability that at least two of the three computers will malfunction is extremely low, with a value of 0.0009. This approach provides a high level of reliability and ensures that accurate results can be obtained from the remaining functioning computers, even if one computer fails.

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Total number of possible outcomes:

From those 36 possible outcomes the next 10 sum of at least 9 ( a number greather than or equal to 9):

Then, the probability of obtaining a sum of at least nine when rolling a pair of dice is:

Answer:

Circumference: 18.84

Area: 28.26  

Step-by-step explanation:

Area formula: pi*r^2

For the area:

3.14*3^2

3.14*9

28.26m^2

Circumference formula: 2 * pi *r

For the circumference:

2*3.14*3

6*3.14

18.84 m

Good luck on your test

Answer:

i think its 62.5%

Step-by-step explanation:

have a good day :)

Answer:

37.5%

Step-by-step explanation:

Ok I always do these problems in a weird way cuz im autistic but here's my process...

10% of 40 is 4

5% of 40 is 2

2.5% of 40 is 1

4 goes in to 25 6 times

4x6=24

which is one less than 25

so there's six 10%s which is 60%

plus the extra 2.5%

so it's 62.5%

so the item is 37.5% off...

Jacob's smoking habit may shorten his life expectancy by an average of 10 years and 6 months.

Given,

The age of Jacob when he starts smoking  = 21 years

Jacob's present age = 48 years

In generally if 1 year of smoking reduces 6 months from the life.

Why does smoking cause life to be shorter?

Only a few of the illnesses that are directly linked to smoking and have a significant role in the increased mortality rate among smokers include cancer, lung disease, and cardiovascular disease. The link between smokeless tobacco and cancer is well known.

Here,

Jacob may live 10 years and 6 months less than normal due to his smoking habit.

I have answered the question in general as given question is incomplete.

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If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

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The picture is not clear... the Question has got cut at the sides .... please take the picture properly and the post the Question again... please

\(\\\\\huge\underline\mathbb\pink{ANSWER:}\\\\\)

No they are not unequal... i. e. the two wires A and B are equal .

\(\frac{1}{3}\) of A = \(\frac{1}{3}\) of B

=> \(\frac{3}{3}\) × A = B

=> 1 × A = B

=> A = B

:. The length of A = the length of B .

\(\\\\\\\\\)

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

A change in a population that is not related strictly to the size of the population can be described as a change in the demographic makeup of the population. This refers to changes in the characteristics of individuals within the population, such as age, gender, education level, and ethnicity.

For example, if a population experiences an influx of young adults, this would represent a change in the demographic makeup of the population, even if the overall size of the population remains the same.

Other factors that can contribute to a change in the population's makeup include migration patterns, changes in birth rates and mortality rates, and shifts in cultural or social norms. These changes can have significant impacts on a population, affecting everything from economic growth to social dynamics. Understanding demographic changes is therefore critical for policymakers and researchers seeking to address issues such as inequality, public health, and urban planning. By analyzing population trends and anticipating future changes, we can better prepare for the challenges and opportunities that lie ahead.

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The sum in summation notation of the expression (a) 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is ΣX from 1 to 4. In other words, it represents the summation of X over the range 1 to 4.

In summation notation, the expression (a) 1 + 2 + 3 + 4 + X5 can be written as ΣX, where X takes the values from 1 to 4. The capital sigma (Σ) represents the summation operator, and the variable X is summed over the range 1 to 4. This means that we need to substitute X with each value from 1 to 4 and add them together.

When we evaluate the expression, we have:

ΣX = 1 + 2 + 3 + 4 = 10

However, the expression also includes X5, indicating that X takes the value 5 as well. Therefore, we add 5 to the sum:

ΣX = 10 + 5 = 15

So, the sum of 1 + 2 + 3 + 4 + X5, where X takes the values 1-4, is equal to 15.

Moving on to expression (b) y2 + y3 + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, we can express it in summation notation as ΣY from 1 to 3. This represents the summation of Y over the range 1 to 3.

Since Y has a different value for each term, we simply substitute Y with each value from 1 to 3 and add them together:

ΣY = y₁ + y₂ + y₃ = -1 + (-0.5) + 0 = -1.5

Hence, the sum of y₂ + y₃ + Y, where Y takes the values y₁ = -1, y₂ = -0.5, y₃ = 0, y₄ = 1.35, is equal to -1.5.

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Answer:

1. False

2. True

3. Sorry luv I don't know this one

4. True

5. False

6. False

Hope you pass and don't fail the quarter :)

Answer:

Option B

Step-by-step explanation:

Looking at the options, option B is correct because when multiplying it by matrix A, it yields the matrix AB as follows;

First row of A multiplied by first column of matrix in option D;

(1 × -1) + (0 × 0) + (0 × 0) = -1 which corresponds to the first number on the first row of Matrix AB

Since majority of matrix AB are zero, I will just prove the ones that are not zero.

Thus;

Second row of matrix A is multiplied by second column of matrix in option D;

(0 × 0) + (-1 × -1) + (0 × 0) = 1 which is same as 2nd number on second row in matrix AB

Lastly, third row of matrix A is multiplied by third column of matrix in option D;

(0 × 0) + (0 × 0) + (1 × -1) = -1 which is same as third number in third row in matrix AB

Answer:

Option B

Step-by-step explanation:

Did the plato test

In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.

The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).

We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.

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Answer:

7) a= 20

8) m= 5

9)n = 5

10) b = 8

Step-by-step explanation:

7) 18+2=-2+2+a

>> 20 = a >> a = 20

18 + 2 = 20 so that isolates the variable leaving a = 20

8) -7+12 = m -12+12

>>> 5 = m >> m = 5

-7 + 12 = 5 so that again isolates the variable leaving m = 5

9) -8(7 + 7n) = -336

>> -56+56 + -56n = -336+56

>>> -56n/-56 = -280/-56

>>>> n = 5

use distributive property, cancel out necessary numbers, isolate the variable. leaving n = 5.

10) -140 = -7(-4 + 3b)

>>  -140 = 28 - 21b >> -140-28 = -21b +28-28 ( flipped the numbers)

>>>  -168/-21 = -21b /-21

>>>> 8 = b >> b =8

Hope it helps!

Answer: terminating

Step-by-step explanation:

Answer:

7.2 is a terminating decimal.

Step-by-step explanation:

Terminating decimals are decimals that have an end point. The decimal does not continue to go on and on with numbers but, it stops at one number which makes it terminating.

Repeating decimals are decimals that go on and on with the same number or same patterns of numbers.

So, since 7.2 has an endpoint, then it is a terminating decimal.

The expected value of perfect information (EVPI) is calculated as EVwPI minus maximum EMV. It quantifies the value of perfect information in decision-making.


The expected value of perfect information (EVPI) is a concept used in decision analysis. It represents the maximum amount of money an individual would pay to have perfect information about an uncertain event before making a decision.

To calculate EVPI, you start with the expected value with perfect information (EVwPI), which is the expected value when you have complete and accurate information about the uncertain event. Then, you subtract the maximum expected monetary value (EMV) from the EVwPI.

The EMV represents the expected monetary value of the decision without any additional information. By subtracting the maximum EMV from the EVwPI, you are essentially measuring the value of the additional information in terms of monetary gain.

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Answer:

w = 0.5 because if you mesure it with a ruler you’d get that answer.

The area of the mat with the painting will be equal to (W+10)(W+16) square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the sides of the rectangle are 16 inches and 10 inches. The extra width of the mat is w inch on each side.

The total sides of the total painting and the mat will be,

Length = L + W=16 +W

Width = 10 + W= 10 +W

The area will be calculated as,

A = ( 16 + W ) ( 10 + W )

Therefore, the area of the mat with the painting will be equal to (W+10)(W+16) square inches.

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No, because the curve indicates that the rate of change is not constant.

By using the concept of supplementary angles and algebraic handling, the solution of the system formed by the two adjacent angles is equal to 41.

By geometry we know that a line crossed by another line non-parallel to it generates four pairs of supplementary angles. Two angles are supplementary whether they are adjacent to each other and the sum of their measures equals 180°. Then, we derive the following equation:

2 · x + 20 + 2 · x - 4 = 180

4 · x + 16 = 180

4 · x = 164

x = 164 / 4

x = 82 / 2

x = 41

By using the concept of supplementary angles and algebraic handling, the solution of the system formed by the two adjacent angles is equal to 41.

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The equation 7(2W + 3) = 14W + 20 has no solution because it produces a false statement when you distribute 

       14 W + 21 = 14 W + 20

because 21 ≠ 20.

To make it have infinitely many solutions, you need to make that statement always true.  You can do this by changing the "20" on the right side to be "21":

    7(2W + 3) = 14W + 21

This equation is always true, no matter what value of W you pick.

Answer:

A

Step-by-step explanation:

not sure if it is correct

Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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