solve these two questions
Use Cramer's Rule to solve each of the following system of linear equations: = 6 x + y + z = 2 2x y z = 0 x + 2y-z = 4 2x - 4y x + y + z = 1 5y + 7z = 10

Answer:

3.08 and 3.06

Step-by-step explanation:

Because

Answer:

The answer is 380

Step-by-step explanation:

I took the test

It's \(x<4\) since it's opened dot and head toward negative infinity.

Answer:

I think that it is ×<4

Step-by-step explanation:

I hope this helps you

a. The slope-intercept form of the equation is: y = 175x + 17,381.

b. 2058

The equation in slope-intercept form a relationship that has a constant rate of m and starting value of b between two variables x and y is given as: y = mx + b.

a. From the information, we have:

A point (11, 19,306)

Constant rate (m) = 175

To find the value of b, substitute m = 175 and (x, y) = (11, 19,306) into y = mx + b:

19,306 = 175(11) + b

19,306 = 1,925 + b

19,306 - 1,925 = b

b = 17,381

Write the equation in slope-intercept form by substituting m = 175 and b = 17,381 into y = mx + b:

y = 175x + 17,381

b. Substitute y = 29,200 into y = 175x + 17,381:

29,200 = 175x + 17,381

29,200 - 17,381 = 175x

11,819 = 175x

11,819/175 = x

x = 67.5

This would be 1990 + 67.5 ≈ 2058.

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Answer:

I believe the answer is 71 degrees. Don't quote me on it though. lol

Step-by-step explanation:

Using a proportional relationship, the numbers that could be used as the missing values in the table are:

35 kg, 1.4 ml.

The table is given by:

It asks for the missing value in the table, and the options are given as follows:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Considering point (50,2), the relationship is given by:

y = 0.04x.

As k = 2/50 = 0.04.

When x = 35, we have that:

y = 0.04 x 35 = 1.4.

Which means that the point is:

35 kg, 1.4 ml.

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Answer:

c and d

Step-by-step explanation:

Answer:

C. 20

Step-by-step explanation:

Use the Pythagorean theorem which is \(a^{2} +b^{2} =c^{2}\).

\(a^{2}\) and \(b^{2}\) are the sides of the triangle squared, AB and AC. \(c^{2}\) is the hypotenuse (the slanted side of the triangle) or BC.

So, \(12^{2} + 16^{2} =400^{2}\). Then you square root 400 to get your answer.

\(\sqrt{400}\) = 20.

20 is your answer.

Answer:

i think its the last one

Step-by-step explanation:

i think its the last on ig

The true statements from the given statements are -

Two triangles are congruent when they have exactly the same three sides and exactly the same three angles.

Given is a triangle as shown in the image.

It is clear that the measure of ∠MNP is less than ∠ONP as

∠MNP = 38°  <   ∠ONP = 39°

The line NP ≅ NP as it is common to both sub - triangles and has same length.

OP > PM since ∠ONP = 39° > ∠MNP = 38°

Therefore, the true statements from the given statements are -

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The minimum and maximum mass measurement is calculated as 1.467 kg and 1.533 kg respectively.

The minimum and maximum mass measurement is determined from the uncertainty in the measurement.

For a given uncertainty of 2.2%, the minimum and maximum mass measurement is calculated as follows;

2.2% of 1.5 kg = 0.022 x 1.5 kg = 0.033 kg

minimum mass = 1.5 kg - 0.033 kg = 1.467 kg

maximum mass = 1.5 kg + 0.033 kg = 1.533 kg

Thus, the minimum and maximum mass measurement is calculated as 1.467 kg and 1.533 kg respectively.

The complete question is below:

what is the minimum and maximum mass of 1.5 kg if the uncertainty in measurement is 2.2%?

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Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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In this question, we are asked to determine the truth-values of two statements involving sets A and B. For each statement, we need to determine if it is true or false. If it is false, we need to provide specific counterexamples by choosing appropriate sets A and B.

a. (A\B) ⊆ A

The statement (A\B) ⊆ A is true for any sets A and B. This is because the set difference (A\B) contains elements that are in A but not in B. Therefore, by definition, every element in (A\B) is also an element of A. There are no counterexamples to this statement.

b. A^c ⊆ (AUB)

The statement\(A^c\) ⊆ (AUB) is true for any sets A and B. This is because the complement of A, denoted as \(A^c\), contains all elements that are not in A.

On the other hand, the union of A and B, denoted as (AUB), contains all elements that are in A or in B or in both.

Since the complement of A contains all elements not in A, it includes all elements in B that are not in A as well.

Therefore, \(A^c\) ⊆ (AUB) holds true for any sets A and B. There are no counterexamples to this statement.

In conclusion, both statements are true for any sets A and B, and there are no counterexamples.

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Answer:

fuction

Step-by-step explanation:

Answer:

first one is 24

second one is probably 12

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

On each median, the distance from the vertex to the centroid is twice as long as the centroid to the midpoint , that is

BO = 2 × OY = 2 × 12 = 24

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

the altitude DB is at right angles to AC , then ∠ CBD = 90°

sum the 3 angles in Δ BCD and equate to 180

10x - 14 + 4x - 8 + 90 = 180

14x + 68 = 180 ( subtract 68 from both sides )

14x = 112 ( divide both sides by 14 )

x = 8

Answer:no the -2/3 should be before -1/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2/3 , -1/5 , 2/4

Answer:

B

Step-by-step explanation:

Cause it's the opposite of the original

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since Kevin has three ties and two shirts, there are six possible outfits. The probability that he will choose the red tie with the blue shirt is the number of outfits in which this occurs divided by the total number of possible outfits.

The number of outfits in which Kevin chooses a red tie with a blue shirt is one, since there is only one red tie and one blue shirt. The total number of possible outfits is six, since Kevin has three ties to choose from and two shirts to wear. Therefore, the probability is:

P(red tie with blue shirt) = 1/6

So there is a 1/6 probability that Kevin Lee will choose to wear a red tie with his blue shirt.

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Answer:

D. x = 10

Step-by-step explanation:

Perimeter = the sum of all sides lengths

Perimeter = 30 (in this case)

so...

\(((x-5)+x)2=30\)

Step 1. Dividing 3 to both sides

\(((x-5)+x)=15\)

Step 2. Add 5 to both sides

\(x+x=20\)

Step 3. Solve for x

Since x + x = 20, to solve for one of the x means solving for the other x

so since 2 x's are being added with the same value, divide 20 by 2.

x = 10

Answer:

60%

Step-by-step explanation:

Number of people ages 26 - 35 prefer Ad A = 12

Number of people ages 26 - 35 prefer Ad B = 8

Total people ages 26 - 35 = 12 + 8

= 20

Percent of people ages 26 - 35 prefer Ad A = Number of people ages 26 - 35 prefer Ad A / Total people ages 26 - 35 × 100

= 12/20 × 100

= 0.6 × 100

= 60%

Percent of people ages 26 - 35 prefer Ad A = 60%

Answer:

0

Step-by-step explanation:

The elapsed time between 6:45 p.m. and 6:54 p.m. is nine minutes.

The amount of time that has gone between two events or times is known as the elapsed time. It is the time differential between when an action or event begins and when it ends. Units of time like seconds, minutes, hours, days, etc. are frequently used to quantify elapsed time. Elapsed time may be computed by either adding up the length of each individual time period or by subtracting the beginning and ending times. Elapsed time is frequently used in scheduling and planning to estimate the length of activities and the time needed to finish a job or project.

The time elapsed is determined by subtracting the two times as follows:

6: 54 - 6: 45 = 0:09

Hence, the elapsed time between 6:45 p.m. and 6:54 p.m. is nine minutes.

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The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

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The set of negative even numbers and the set of natural numbers have the same size or cardinality.

To prove that the set of negative even numbers and the set of natural numbers have the same size, we need to show that there exists a bijection (one-to-one correspondence) between the two sets. Consider the function f: N → Z, where N is the set of natural numbers and Z is the set of integers. This function maps every natural number n to the integer -2n. In other words, f(n) = -2n for all n ∈ N. Now, let A be the set of negative even numbers. We can define a function g: A → N as follows:

For every a ∈ A, let g(a) = -a/2. It is easy to see that g is a bijection. In other words, g is both injective and surjective. To show that g is injective, suppose that g(a) = g(b) for some a, b ∈ A. Then, we have -a/2 = -b/2, which implies that a = b. Thus, g is injective. To show that g is surjective, let n be an arbitrary natural number. Then, we can write n = -2m for some m ∈ N. Let a = -2m, which is a negative even number. Then, we have g(a) = -a/2 = m = n. Thus, g is surjective. Since g is a bijection, it follows that the sets A and N have the same size or cardinality. Therefore, even if we add in negative even numbers, the resulting set will still have the same size as the natural numbers.

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Answer: The graph is NOT \(\text{y} > 3\text{x}-4\)

Explanation:

The inequality of \(\text{y} > 3\text{x}-4\)  has the boundary equation \(\text{y} = 3\text{x}-4\)

That equation is in the format \(\text{y} = m\text{x}+b\) which is slope-intercept form.

m = 3 = slope

b = -4 = y intercept

The positive slope indicates the boundary line goes uphill when moving to the right. However, the graph shows the complete opposite with the line going downhill. This means that the graph cannot possibly be \(\text{y} > 3\text{x}-4\)

Answer: 0.25

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

multiply by the recipricol

3x 4/3

3's cancel eachother out

answer is 4

Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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Answer: D

Step-by-step explanation:

Counting from 4 to -4 is 8 units.

Answer:

Alex has 2 bottles of water, and Andrew has x more than him. they both combined have 12 water bottles, how many bottles does Andrew have?

hope this is it!