A partial construction of a median of a triangle JKL is shown below
complete the statements
Point _ is the midpoint of side JK. to finish the construction, draw a segment from vertex _ to point _
Then, segment _ is a median of triangle JKL

The results of the arithmetic evaluations as given in the task content are; 40,42 and 62.

The arithmetic operations above can be evaluated and simplified as follows;

(11-8)x3+7+27-3 = (3×3)+7+27-3 = 40.

(18÷3)+6+(14-8)x5 = (6)+6+(6)x5 = 42.

(11-7)x6+4+32-4 = (5×6) +4 +32-4 = 62.

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Answer:

If the GM between √2 and 2√2 is a find the value of a.​

Step-by-step explanation:

To find the geometric mean between two numbers, we simply take the square root of their product.

In this case, we want to find the geometric mean between √2 and 2√2.

Their product is:

√2 * 2√2 = 2√4 = 2*2 = 4

So, the geometric mean between √2 and 2√2 is the square root of 4, which is:

√4 = 2

Therefore, the value of a is 2.

A local SPCA has three different colour kittens up for adoption. 31% of the kittens are black, 44% of the kittens are white, and the rest are yellow. Of the kittens who are black, 59% are male, of the kittens who are white, 34% are male & of the kittens who are yellow, 60% are male.

Tree Diagram:

                     ________ Kittens ________

                    /                        \

           _______ Black _______          _______ White _______

          /                      \        /                     \

    Male (59%)               Female    Male (34%)             Female

      /                           \       /                       \

 (31% of 59%)                  (69% of 59%)                (44% of 34%)

      /                                \                               \

   Black                           Black                        Black

 (18.29% of total)           (42.71% of total)          (14.96% of total)

b) To calculate the percentage of kittens that are female, we need to sum up the percentages of female kittens in each color category:

Female kittens: 69% of black kittens + 56% of white kittens + 66% of yellow kittens

Female kittens = (69% * 31%) + (56% * 44%) + (66% * 25%)

Female kittens ≈ 21.39% + 24.64% + 16.5%

Female kittens ≈ 62.53%

Therefore, approximately 62.53% of the kittens are female.

c) To find the probability that a kitten is white, given that it is male, we need to consider the proportion of male kittens that are white compared to the total number of male kittens:

Probability of being white given male = (34% * 44%) / (59% * 31% + 34% * 44% + 60% * 25%)

Probability of being white given male ≈ (0.34 * 0.44) / (0.59 * 0.31 + 0.34 * 0.44 + 0.60 * 0.25)

Probability of being white given male ≈ 0.1496 / (0.1829 + 0.1496 + 0.15)

Probability of being white given male ≈ 0.1496 / 0.4829

Probability of being white given male ≈ 0.3096

Therefore, the probability that a kitten is white, given that it is male, is approximately 30.96%.

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Answer:

A.

Step-by-step explanation:

4 < 6t + 1 ≤ 43 (Given)

3 < 6t ≤ 42 (Subtracted 1 on both sides)

1/2 < t ≤ 7 (Divided 6 on both sides)

You are looking for an open dot on 1/2 and a shaded dot on 7 with a line between them. Therefore, the answer is A.

Answer: \(35,000\ cm^3\)

Step-by-step explanation:

Given

The earring box has a volume of \(a=5\ cm\)

It is packed and loaded in the container which has 4 layers and each layer has  7 rows and 10 columns

We can say that each layer can hold \(7\times 10=70\ \text{boxes}\)

The volume of each earring box is

\(V_o=a^3=5^3\\V_o=125\ cm^3\)

Four layers can hold \(4\times 70=280\ \text{boxes}\)

the container can hold 280 boxes

\(\therefore \text{Volume of container is}\ V=280V_o\\\Rightarrow V=280\times 125=35000\ cm^3\)

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

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The system response, y(n), for the given input x(n) up to n = 5 is as follows: y(0) = 5x(0) - 2x(-1) - x(-2) - y(-1),    y(1) = 5x(1) - 2x(0) - x(-1) - y(0),   y(2) = 5x(2) - 2x(1) - x(0) - y(1),      y(3) = 5x(3) - 2x(2) - x(1) - y(2),                  y(4) = 5x(4) - 2x(3)-x(2) - y(3),     y(5) = 5x(5) - 2x(4) - x(3) - y(4).

To calculate y(n), we substitute the given values of x(n) and solve the equations iteratively. The initial conditions y(-1) and y(0) need to be known to calculate subsequent values of y(n). Without knowing these initial conditions, we cannot determine the exact values of y(n) for n up to 5.

The frequency response of the system, H(z), can be obtained by taking the Z-transform of the given difference equation. However, since the equation provided is a time-domain difference equation, we cannot directly determine the frequency response without taking the Z-transform.

To represent the zeros, poles, and the region of convergence (ROC) in the z-plane, we need the Z-transform of the given difference equation. Without the Z-transform, it is not possible to determine the locations of zeros and poles, nor the ROC of the system.

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Using Euler's method with a step size of 0.2, the estimate for y(1.4) is 2. When the step size is reduced to 0.1, the estimated value for y(1.4) remains approximately the same.

Euler's method is a numerical approximation technique used to estimate the solution of a first-order ordinary differential equation (ODE) given an initial condition. In this case, we are given the initial-value problem y′ = x - xy, y(1) = 0.1, and we want to estimate the value of y(1.4).

To apply Euler's method, we start with the initial condition y(1) = 0.1. We then divide the interval [1, 1.4] into smaller subintervals based on the chosen step size. With a step size of 0.2, we have two subintervals: [1, 1.2] and [1.2, 1.4]. For each subinterval, we use the formula y(i+1) = y(i) + h * f(x(i), y(i)), where h is the step size, f(x, y) represents the derivative function, and x(i) and y(i) are the values at the current subinterval.

By applying this formula twice, we obtain the estimate y(1.4) ≈ 2. This means that according to Euler's method with a step size of 0.2, the approximate value of y(1.4) is 2.

If we reduce the step size to 0.1, we would have four subintervals: [1, 1.1], [1.1, 1.2], [1.2, 1.3], and [1.3, 1.4]. However, the estimated value for y(1.4) remains approximately the same at around 2. This suggests that decreasing the step size did not significantly impact the approximation.

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Hey there! Here's your answer:

2/5 Or 0.4 Or 40%  

Here's an explanation:

(4/25)^1/2 =

√(4/25) =

2/5

Answer: 34

Step-by-step explanation:

SOH-CAH-TOA

To find the angle, find the inverse cosine of the adjacent side over the hypotenuse. ArcCos(72/87)=34

Fred lost approximately 0.416 liters of blood due to the cut on his forehead, which corresponds to 8% of his total blood volume. To reach the critical threshold of 40% blood loss, he would need to lose an additional 2.08 liters of blood.

To calculate the amount of blood Fred lost from the cut on his forehead, we can multiply his total blood volume by the percentage of blood loss. Fred has 5.2 liters of blood, so 8% of that would be 0.08 * 5.2 = 0.416 liters.

To determine the additional amount of blood Fred would need to lose to reach the critical threshold of 40% blood loss, we can subtract the amount he has already lost from the total amount required. A 40% blood loss would correspond to 0.4 * 5.2 = 2.08 liters. Therefore, Fred would need to lose an additional 2.08 - 0.416 = 1.664 liters of blood to reach the 40% threshold.

It is important to remember that these calculations are based on simplified assumptions and do not consider individual variations or medical interventions that can affect blood loss. Immediate medical attention should be sought for any significant bleeding or injury.

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The number of possible outcomes in the sample space of a wireless garage door opener with 16 switches can be determined using the concept of combination is 1.

Combination is a mathematical concept that refers to the number of ways that a set of objects can be selected from a larger set without regard to their order.

To determine the number of possible outcomes in the sample space, we can use the concept of combination. In this case, the objects are the 16 switches, and the larger set is the set of all possible settings for these switches (up or down).

To calculate the number of possible combinations, we can use the formula for combination, which is:

ⁿCₓ = n! / (x! * (n - x)!)

where n is the total number of objects (16 switches), and x is the number of objects selected (in this case, also 16 switches). The exclamation mark (!) represents the factorial function, which is the product of all positive integers up to and including the given integer.

Using this formula, we can calculate the number of possible combinations as follows:

=> 16! / (16! x (16 - 16)!)

=> 16! / (16! x 0!)

=> 1

Therefore, the sample space of possible codes for a wireless garage door opener with 16 switches is 1.

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Answer:

x = 12

Step-by-step explanation:

The measures of ∠XYW and ∠WYZ would equal m∠XYZ.

\(3x + 2 + 72 = 110\\\rule{150}{0.5}\\3x + 74 = 110\\\\3x + 74 - 74 = 110 - 74\\\\3x = 36\\\\\boxed{x = 12}\)

Hope this helps.

Answer:

what is the dot for?

Step-by-step explanation:

The function value at the minimum is -9

The function is given as:

f(x) = x^2 - 6x

Differentiate the function

So, we have

f'(x) = 2x - 6

Set the function to 0

So, we have

2x - 6 = 0

This gives

2x = 6

Divide by 2

x = 3

Substitute x = 3 in f(x) = x^2 - 6x

f(3) = 3^2 - 6(3)

Evaluate

f(3) = -9

Hence, the function value at the minimum is -9

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Therefore, the probability that the sample mean cholesterol level is less than 190 is approximately 0.23%.

We can use the central limit theorem to approximate the distribution of the sample mean cholesterol level as normal with a mean of 202 and a standard deviation of 41/sqrt(100) = 4.1.

To find the probability that the sample mean cholesterol level is less than 190, we can standardize the sample mean using the formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values, we get:

z = (190 - 202) / (4.1) = -2.93

Now we can use a standard normal distribution table or calculator to find the probability that a standard normal random variable is less than -2.93. The probability is approximately 0.0023 or 0.23%.

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Answer:

14

Step-by-step explanation:

If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!

Answer:

x=4

Step-by-step explanation:

AB+BC=AC

2x-5+6x=27

8x-5=27

8x=32

x=4

Answer:

\(3x + 12y = 120\)

If this problem needs solved like the other one I answered with the reserved seats and general admission, it is done the exact same way as that one.

Note that the proof that ΔABC ≅ ΔEDC is given as follows:

According to the ASA rule, if any two angles and sides included between the angles of one triangle are comparable to the corresponding two angles and sides included between the angles of the second triangle, the two triangles are said to be congruent.

Thus, given the above statements, it is clear that ΔABC ≅ ΔEDC

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Full Question:

Angle BAC is congruent to Angle DEC: Given

C is the midpoint of AE: Given

Prove triangle ABC is congruent to triangle EDC

What are the statements and reasons for this proof?

The domain of the function is x≥7 or in interval notation [7,∞)

To find the domain of the function f(x)= 5x−35, we need to determine the values of x for which the function is defined.

The square root function x is defined only for non-negative values of x.

In our case, the argument of the square root is

5x−35, so we need to ensure that

5x−35≥0 to avoid taking the square root of a negative number.

Solving the inequality:

5x−35≥0

Adding 35 to both sides:

5x≥35

Dividing both sides by 5:

x≥7

Therefore, the domain of the function is x≥7 or in interval notation:

(7,∞)

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The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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After using substitution method - The new height of the painting will be 247cm.

What is the substitution method?

To solve many simultaneous linear equations, use the substitution method in algebra. As implied by the name, this strategy involves replacing a variable's value from one equation with another.

we are given the original width of the painting to be 6cm and the original height to be 19cm.

after enlarging the size of the painting the new and enlarged width becomes 78cm

and we assume the new and enlarged height of the painting to be xcm.

we now the ratios

original height : original width = enlarged height : enlarged width ,

will remain equal,

Hence substituting the numerical values in the ratios we get

19/6 = x/78

19 * 78 = 6x

1482/6 = x

247cm =x

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\(43\)

Answer:

82 + -71 = 10

Hope this helps! <3

Answer: Infinite solutions

Step-by-step explanation:

Answer:

$7 is his Hourly Wage.

Step-by-step explanation:

We can start by finding out how much money Jada started with by adding the amount of money he had after buying the cake with how much he spent on the cake, 86 + 12 = 98.

We now know how much money he had before buying anything. Now we can just divide the total amount of money by how long he worked.

98 ÷ 14 = 7

Answer:

D & E

Step-by-step explanation:

The constant of proportionality formula is y = kx. In the graph in question, when y = 6, x = 2. Plugging those values into the formula, 6 = k(2), we get that the value of k = 3. So, the correct answer should have a constant of proportionality of 3.

A) When dividing both sides by 6, we get y = 1/3 x. In this equation, k = 1/3, so this is not the answer.

B) k = 1/3 again, so this is not the answer.

C) When y = 6, x = 1. 6 = k(1), so k = 6. So, this is not the answer.

D) When y = 9, x = 3. 9 = k(3), and k = 3. This is the correct value of k. Plugging in other values from the same table give you the correct value of k. This is a correct answer.

E) When y = 15, x = 5. 15 = k(5), and k = 3. This is the correct value of k. Plugging in other values from the same table give you the correct value of k. This is a correct answer.

hope this helps! <3

Number of links = 100

Shape of each link = Circle

Radius = 2.5

Area = πr²

= 3.14×2.5×2.5

= 19.625

Now for 100 links

19.625×100

1962.5Cm²

Cost = 1962.5 × 0.06

= $117.75

Must click thanks and mark brainliest

If each link is made of thin silver wire and is in the shape of a circle of radius 2.5 cm, the value of the silver chain is $94.20.

To find the value of the silver chain, we need to calculate the total length of the silver wire used in making the chain and then multiply it by the cost per centimeter.

Each link in the chain is a circle with a radius of 2.5 cm. The circumference of a circle can be calculated using the formula 2πr, where r is the radius.

In this case, the circumference of each link is:

Circumference = 2 * 3.14 * 2.5 cm = 15.7 cm

Since there are 100 links in the chain, we multiply the circumference of each link by 100 to get the total length of the silver wire used:

Total length = 15.7 cm/link * 100 links = 1570 cm

Now, we can calculate the value of the chain by multiplying the total length of the silver wire by the cost per centimeter:

Value of the chain = 1570 cm * $0.06/cm = $94.20

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