-12x + 3y = 27
-4x – 4y=-16

Hello!

Answer:

1. x= 1 / y= 2 / z= -3 / (1 ; 2 ; -3)

2. x= 3 / y= -5 / z= 8 / (3 ; -5 ; 8)

Step-by-step explanation:

Answer:

Systematic sampling

Step-by-step explanation:

An EPA contractor needing to test the concentration of a substance in ten samples out seventy samples provided form a single source at regular time intervals.

For the contractor to effectively carry out the testing he has to employ a Non-probability system of sampling which is called Systematic sampling, because in systematic sampling we can assume the population size (x ) which in this case is 70 and the sample size( n ) to be 10

He will have to select ;  ( x / n )^th of the sampling frame for best results

A datagram with the destination IP address 158.30.142.30 would be routed to port 10011110 00011110 10001110 00011110.

What is an IP address explain?

Can I change my IP address?

What is IP address in WIFI?

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To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.

This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.

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The standard form equation of the ellipse is:

\((x - 4)^2 / 1 + (y + 2)^2 / 64 = 1\)

We have,

To find the standard form equation of an ellipse, we need the coordinates of the center (h, k), the lengths of the major and minor axes (2a and 2b), and the orientation (whether it is horizontally or vertically aligned).

Given the vertices (4, -10) and (4, 6), we can determine that the center of the ellipse is at (4, -2) since the x-coordinate is the same for both vertices.

Given the co-vertices (3, -2) and (5, -2), we can determine that the length of the minor axis is 2 since the y-coordinate is the same for both co-vertices.

The length of the major axis can be found by calculating the distance between the vertices.

In this case, the length of the major axis is 6 - (-10) = 16.

Since the major axis is vertical (the y-coordinate changes), the standard form equation of the ellipse is:

\([(x - h)^2 / b^2] + [(y - k)^2 / a^2] = 1\)

Substituting the values we have:

\([(x - 4)^2 / 1^2] + [(y + 2)^2 / 8^2] = 1\)

Thus,

The standard form equation of the ellipse is:

\((x - 4)^2 / 1 + (y + 2)^2 / 64 = 1\)

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Josephine can choose three books (one chemistry, one history, and one statistics) in 60 ways using the multiplication principle.

To calculate the number of ways Josephine can choose one book of each type to study, we can use the multiplication principle, which states that the total number of outcomes for a sequence of events is the product of the number of outcomes for each event.

So, to solve this problem, we need to multiply the number of ways Josephine can choose one chemistry book, one history book, and one statistics book.

The number of ways to choose one chemistry book from two is 2 (since there are only two options).

The number of ways to choose one history book from three is 3.

The number of ways to choose one statistics book from ten is 10.

Therefore, the total number of ways Josephine can choose one book of each type to study is:

2 x 3 x 10 = 60

So there are 60 ways for Josephine to choose the three books she wants to study.

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The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.

a) The differential equation expressing the quantity Q(t)  of warfarin in the body, at t hours later when a patient who is suffering from Warfarin  is given a pill containing 2.5 mg of Warfarin then,

dQ/dt = -kQ
here Q(0) = 2.5

b) The differential equation the expressing the quantity Q(t)  of warfarin in the body, at t hours later when a patient who is not suffering from Warfarin  is given a pill containing 0.5 mg/hr then,

dQ/dt = -kQ + r
where Q(0) = 0
Here
k = rate constant
r = rate of administration
The differential equation concerning the given question is Q' = -2.5Q Q(0) = 0 . Therefore the required correct answer for the question is Option A.

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The rate at which Warfarin leaves the body should be proportional to the amount still in the body, not a constant rate of 2.5. So the correct differential equation for part (b) is:

Q' = 0.5 - kQ, where Q(0) = 0

Where k is the proportionality constant for the rate of elimination.

Explanation

(a) Let's denote the rate of elimination as k, where k > 0. Since the elimination rate is proportional to the amount of warfarin, we can write the differential equation as:

Q'(t) = -kQ(t)

Given that the initial condition is a 2.5 mg pill, the initial condition should be:

Q(0) = 2.5

So the differential equation for part (a) is:

Q'(t) = -kQ(t), Q(0) = 2.5

(b) In this case, the patient receives warfarin intravenously at a rate of 0.5 mg/hour. Thus, we should add the rate of administration to our equation:

Q'(t) = 0.5 - kQ(t)

The initial condition is still that the patient has no warfarin in her system:

Q(0) = 0

So the differential equation for part (b) is:

Q'(t) = 0.5 - kQ(t), Q(0) = 0

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Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

I am not so sure tho it's either b or d

First to answer

Answer:

16/24

of the chocolate cake was eaten

13/16

of the red velvet cake was eaten

and

5/12

of the white cake was eaten.

Step by step explanation:

I subtracted the whole amount of cake by what was left.

The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

=========================================================

Explanation:

The sine ratio involves the opposite over hypotenuse.

With respect to reference angle J, the opposite leg is the one furthest from the angle. So the opposite side is KL = 4. The hypotenuse is always the longest side, always opposite the 90 degree angle, so LJ = 8 is the hypotenuse.

sin(angle) = opposite/hypotenuse

sin(J) = KL/LJ

sin(J) = 4/8

sin(J) = 0.5

Answer:

45 degree angle

Step-by-step explanation:

180-55-80=x

180- 135=x

45=x

Answer:

45

Step-by-step explanation:

180=55+80+x

135+x=180

180-135=45

Answer:

Step-by-step explanation:

-y = -2x - 3

y = 2x + 3

m = 2

b = 3

y - int: (0,3)

Answer: The first answer choice

AKA: y = -1.74x + 46.6

Step-by-step explanation:

Answer:

6 quarts

Step-by-step explanation:

8 bags

--------

2 quarts

Multiply top and bottom by 3

8*3 bags

--------

2*3 quarts

24 bags

--------------

6 quarts

Answer:

6

Step-by-step explanation:

2 quarts of iced tea = 8 tea bags.

x quarts of Iced tea = 24 tea bags

=> 2/8 = x/24

=> Multiply the extremes and means

=> 8x = 48

=> 8x / 8 = 48 / 8

=> x = 6

6 quarts of iced tea can be made with 24 tea bags.

The answer is y = 12x - 24

Use the form y = mx + b

If the points are (2, 0) and (3, 12) the slope is 12 which gives us m.

Since every time you go backwards once it goes down 12, (1, -12) is a point and then (0, -24) is a point that shows us the y-intercept which gives us b.

Answer:

its 6 D

Step-by-step explanation:

multiplication/division

Answer:

6 or D

Step-by-step explanation:

Since its the same polygon you set it up like this:

\(\frac{36}{24} =\frac{x}{4}\)

cross multiply

36(4) = 24x

divide both sides by 24

x=6

As per the combination method, there are 4,080 ways for the teacher to assign the tasks of line leader, table wiper, and paper passer to three different students in the class of 17 kindergartners.

To start, let's count the number of ways to choose one student to be the line leader. There are 17 students to choose from, so there are 17 possible choices.

Next, let's count the number of ways to choose one student to wipe down the tables.

Finally, let's count the number of ways to choose one student to pass out papers. We've already chosen two students for the other tasks, so there are only 15 students left to choose from. Thus, there are 15 possible choices for the paper passer.

To find the total number of ways to assign the tasks, we need to multiply the number of choices for each task. So the total number of ways to assign the tasks is:

17 x 16 x 15 = 4,080

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As per the combination method, there are 4,080 ways for the teacher to assign the tasks of line leader, table wiper, and paper passer to three different students in the class of 17 kindergartners.

To start, let's count the number of ways to choose one student to be the line leader. There are 17 students to choose from, so there are 17 possible choices.

Next, let's count the number of ways to choose one student to wipe down the tables.

Finally, let's count the number of ways to choose one student to pass out papers. We've already chosen two students for the other tasks, so there are only 15 students left to choose from. Thus, there are 15 possible choices for the paper passer.

To find the total number of ways to assign the tasks, we need to multiply the number of choices for each task. So the total number of ways to assign the tasks is:

17 x 16 x 15 = 4,080

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Answer:

x = 16 , y = 116

Step-by-step explanation:

in an isosceles trapezoid

• any lower base angle is supplementary to any upper base angle

• the upper base angles are congruent

then

4x + 6x + 20 = 180

10x + 20 = 180 ( subtract 20 from both sides )

10x = 160 ( divide both sides by 10 )

x = 16

so

6x + 20 = 6(16) + 20 = 96 + 20 = 116

and

y = 116 ( upper base angles are congruent )

False. The statement you described is not an equivalent form for a conditional statement. The process you mentioned, which is reversing and negating the antecedent and consequent, is known as forming the contrapositive of the statement.

A conditional statement has the form "If P, then Q," where P is the antecedent and Q is the consequent. The contrapositive is formed by negating both the antecedent and consequent, and reversing their order: "If not Q, then not P." The contrapositive is equivalent to the original conditional statement.

However, simply reversing the antecedent and consequent without negating them gives you the converse, which is "If Q, then P." The converse is not equivalent to the original conditional statement.

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The probability that the chicken hatches at least two eggs is 0.406.

The problem states that the number of eggs a chicken hatches is a Poisson random variable. Let λ be the expected number of eggs hatched. Since the probability of hatching no eggs is 0.10, we can set up an equation:

P(X = 0) = e^(-λ) * λ^0 / 0! = 0.10

Solving for λ, we get λ ≈ 2.303. Therefore, the probability of hatching exactly k eggs is:

P(X = k) = e^(-λ) * λ^k / k!

Using this formula, we can calculate the probability of hatching at least two eggs:

P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

Plugging in the values, we get:

P(X ≥ 2) = 1 - e^(-λ) * λ^0 / 0! - e^(-λ) * λ^1 / 1! = 0.406

Therefore, the probability that the chicken hatches at least two eggs is 0.406

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Answer:

  (b)  ∠DFE ≅ ∠DFG

Step-by-step explanation:

You want to know what additional information is required to show ∆DEF ≅ ∆DGF by SAS, given FE≅FG.

The SAS congruence postulate requires pairs of corresponding sides be congruent, along with the angle between those sides.

We know that FD is congruent to itself, and we are given FE≅FG. The angles between these sides are ∠DFE and ∠DFG.

To make use of the SAS congruence postulate, we need to know that ...

  ∠DFE ≅ ∠DFG, choice B

<95141404393>

Answer:

1. -5

2. 0

Step-by-step explanation:

1. Distribute the Negative Sign:

=a−2a+−1(3a−(4a−5))

=a+−2a+−1(3a)+−1(−4a)+(−1)(5)

=a+−2a+−3a+4a+−5

Combine Like Terms:

=a+−2a+−3a+4a+−5

=(a+−2a+−3a+4a)+(−5)

Answer:

=−5

2. Distribute:

=(13)(5)+(13)(−t)+−5+t+(−12)(5)+(−12)(−t)

=65+−13t+−5+t+−60+12t

Combine Like Terms:

=65+−13t+−5+t+−60+12t

=(−13t+t+12t)+(65+−5+−60)

Answer:

=0

Answer:

-1/ 32

Step-by-step explanation:

We use the math fact that  \(a^{-b} = \frac{1}{a^{b} } \)

\((-2)^{-5} = \frac{1}{(-2)^{5} } = \frac{1}{(-1)^{5} *2^{5} } = \frac{1}{- 32} = -\frac{1}{32} \)

Angle ∠C and angle ∠E are supplementary angles. Then the correct option is B.

The sum of the supplementary angle is 180 degrees.

The sum of two acute angles will be less than 180 degrees.

Similarly, the sum of two obtuse angles is more than 180 degrees.

The addition of angle ∠C and angle ∠E is calculated as,

∠C + ∠E = 61° + 119°

∠C + ∠E = 180°

The addition of angle ∠C and angle ∠E is 180°. Thus, the correct option is B.

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The element (4, 2) refers to the value in the 4th row and 2nd column of the inverse matrix. In this case, the element is 3/5.

To find the inverse of the matrix:

\(| 1 3 4 |\)

\(| 0 2 6 |\)

\(| 0 3 1 |\)

We can use the formula for the inverse of a 3x3 matrix:

Let A be the given matrix, and let A^-1 be its inverse.

A⁻¹ = (1/det(A)) * adj(A)

where det(A) is the determinant of A and adj(A) is the adjugate of A.

Step 1: Calculate the determinant of A

det(A) = 1*(21 - 36) - 3*(01 - 36) + 4*(03 - 26)

= 1*(-16) - 3*(-18) + 4*(-12)

= -16 + 54 - 48

= -10

Step 2: Calculate the adjugate of A

The adjugate of a matrix is the transpose of its cofactor matrix.

The cofactor matrix of A is:

\(| 2 -18 -12 |\)

\(| -6 -4 6 |\)

\(| 12 \ 6 -2 |\)

Taking the transpose of the cofactor matrix gives us the adjugate of A:

\(| 2 -18 -12 |\)

\(| -6 -4 6 |\)

\(| 12 \ 6 -2 |\)

Step 3: Calculate A^-1

A⁻¹ = (1/det(A)) * adj(A)

= (1/-10) *

\(| 2 -18 -12 |\)

\(| -6 -4 6 |\)

\(| 12 \ 6 -2 |\)

Simplifying the scalar multiplication:

A⁻¹ =

\(| -1/5 \3/5\ -6/5 |\)

\(| 9/5\ 2/5\ -3/5 |\)

\(| 6/5 \-3/5 \1/5 |\)

Therefore, the inverse of the given matrix is:

\(| -1/5 \3/5\ -6/5 |\)

\(| 9/5\ 2/5\ -3/5 |\)

\(| 6/5 \-3/5 \1/5 |\)

To identify the value of element (4, 2) in the inverse matrix:

The element (4, 2) refers to the value in the 4th row and 2nd column of the inverse matrix. In this case, the element is 3/5.

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Answer:127.5

Step-by-step explanation:

15% of 150 = 22.5

150-22.5=127.5

Answer:

Step-by-step explanation:

The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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