solve the system if possible by using cramer's rule. if cramer's rule does not apply, solve the system by using another method. write all numbers as integers or simplified fractions.

m∠PQR=82º

1) According to the properties of a Rhombus, the line segment QS bisects the angle ∠PQR into two congruent angles ∠PQT and ∠RQT

So we can write

∠PQT = ∠RQT

Let's find the value of x:

4x-27= 2x +7

4x -2x = 7 +27

2x = 34

x= 17

2) So m∠PQR is going to be the sum of m∠PQT and m∠RQT

m∠PQR=m∠PQT +m∠RQT

m∠PQR = 4x -27 +2x +7 Plug into that the value for x=17

m∠PQR =4(17) -27 + 2(17) +7

m∠PQR =68-27+34+7

m∠PQR=82º

3) So the answer is m∠PQR=82º

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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To find which side of the line on the graph of a linear inequality to shade. Follow the steps-

In order to know which area to shade, first pick a point on the side of the line in your graph. then substitute the x and y values into the inequality. once you get the values, check if the inequality is true at that point. If yes, then you shade that side where the point is in. If not, then you shade the other side.

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The evaluation of the composite function (g o f)(0) is -4

A composite function is generally a function that is written inside another function.

Therefore, let's solve the composite function below:

f(x) = 1x

g(x) = x - 4

Let's find (g o f)(0)

Therefore,

(g o f)(x) = g(f(x))

Hence,

(g o f)(0) = g(f(0))

f(0) = 1(0) = 0

Therefore, let's substitute f(0) in g(x)

(g o f)(0) = 0 - 4

(g o f)(0) =  - 4

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Answer:

4

Step-by-step explanation:

multiplication is repeated addition

Answer:

4

Step-by-step explanation:

9+9+9+9= 36

36/9= 4

4×9= 9+9+9+9

Answer:

(4, 0)

Step-by-step explanation:

D is clearly (1, 2).

so, for D' we have (1+3, 2-2) = (4, 0).

that's it. there is nothing more to it.

Answer: 12

Step-by-step explanation: Finding area of triangles. To find a triangle's area, use the formula area = 1/2 * base * height. Choose a side to use for the base, and find the height of the triangle from that base. Then, plug in the measurements you have for the base and height into the formula.

Answer:

24

Step-by-step explanation:

........,........,....... ........

Answer:

24

Step-by-step explanation:

(9+3) = 12

multiply 12 by 2: 12 × 2 = 24

Answer:

10 * 50%

Step-by-step explanation:

It is simple

just do 10/100 * 50

and you have your answer

Answer:

21

Step-by-step explanation:

They cancel each other out! An easy but long way is to put down 35 open circles. Then under it draw 14 filled in circles. CROSS OUT the open circles that line up with the closed circles. Count the rest of the dots that are left.

Or simply do 35 - 14 ^w^

Have a great day!

Answer:

Hi, your answer here is 21. Problems like this can look confusing because they deal with negative numbers and multiple operation symbols, but the question is basically telling you to "add negative 14 to 35," which means the exact same thing as "subtract 14 from 35." We can rewrite the problem as 35 - 14, which gives us 21.

Hope this makes things a bit clearer. Have a great day! - Mani :)

Here are the matching pairs for the given question:

1. The smallest multiple that two or more given numbers have in common multiple

2. A number resulting from multiplying a given number by an integer solution

3. The least common multiple of two or more denominators Solve

4. The value(s) of a variable that will make an algebraic sentence true Least common denominator

5. The process for finding the solution(s) to an algebraic equation Least common multiple

1. Common Multiple - The smallest multiple that two or more given numbers have in common is known as the common multiple of those numbers.

2. Multiple - A number that results from multiplying a given number by an integer solution is known as a multiple.

3. Least Common Multiple - The least common multiple of two or more denominators is the smallest number that is a multiple of each denominator.

4. Least Common Denominator - The smallest common multiple of the denominators of two or more fractions is known as the least common denominator.

5. Least Common Multiple - The process for finding the solution(s) to an algebraic equation is known as the least common multiple.

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There are 25 prime numbers between 1 and 100. There are 25 prime numbers between 1 and 100. Prime numbers are important in mathematics and have numerous applications, including cryptography, number theory, and computer science.

To find the prime numbers between 1 and 100, we can check each number in that range to see if it is divisible by any number other than 1 and itself. A more efficient approach is to use the Sieve of Eratosthenes algorithm. Using this method, we can eliminate multiples of each prime number starting from 2. The remaining numbers after the elimination process are prime.

Using this algorithm, we find that 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, and 97.

There are 25 prime numbers between 1 and 100. Prime numbers are important in mathematics and have numerous applications, including cryptography, number theory, and computer science.

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The area that the dog can wander based on the information provided will be 931π.

From the information, we are told that the dog dog is attached to a 35-foot rope fastened to the outside corner of a fenced-in garden that measures 28 feet by 36 feet.

In this case, the dog is in an outside corner. The dog can trace 3/4 of a circle when it starts walking in a circle away form the wall.

The area that the dog can wander will be:

= 3/4(π35²) + 1/4(π(35 - 28)²)

= 3/4π(35)² + 1/4π(7)²

= (3/4 × 1225)π + (1/4 × 49)π

= 918.75π + 12.25π

= 931π

Therefore, the area that the dog can wander based on the information provided will be 931π.

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Answer:

Step-by-step explanation:

First, you should put the axis of symetry as 5, -7 because f(x)= (x-h)^2+k and h is 5 and k is -7. the axis of symetry is x=5 because that is the "folding point" of the graph. Next, you would have to plug In 4 and 6 as your helping points to tell you where the other points of the function are going to be.

Plug 4 in and you get -6. plug 6 in and you get -6. plot the points (4, -6) and (6,-6).

Hope this helps!

:)

Answer:

100+80+60+40+20×12345 =247.100

Step-by-step explanation:

oay iam sory girl

Answer:

x = 8

Step-by-step explanation:

Given

3(x + 1) + 6 = 33 ( subtract 6 from both sides )

3(x + 1) = 27 ( divide both sides by 3 )

x + 1 = 9 ( subtract 1 from both sides )

x = 8

63. "Adrenopathy" is the correct term for any disease of the adrenal gland.

64. Corporeal. 65. Thyropathy 66. Isletoma 67. Adrenergic 68.  Islet-related 69. Goiter 70. Thyrotropic 71. Somatic 72. Gonadotropic

63. Adrenopathy: The correct word parts to form the term that describes any disease of the adrenal gland are "adreno-" and "-pathy." The prefix "adreno-" refers to the adrenal gland, and the suffix "-pathy" indicates a disease or disorder.

64. Corporeal: To describe something pertaining to the body, the correct word part is "corpor-" which means body. By adding the suffix "-eal" meaning pertaining to, we form the term "corporeal" which means relating to the body.

65. Thyropathy: When combining the word parts for a disease of the thyroid gland, we use "thyro-" to refer to the thyroid gland and "-pathy" to indicate a disease or disorder. Thus, "thyropathy" is the term that describes any disease of the thyroid gland.

66. Isletoma: A tumor of the pancreatic islets can be described using the word parts "islet-" referring to the pancreatic islets and "-oma" which signifies a tumor. Therefore, "isletoma" is the appropriate term for a tumor of the pancreatic islets.

67. Adrenergic: To indicate something that is activated by epinephrine, the correct word part is "adreno-" referring to the adrenal gland, and the suffix "-ergic" indicating activation or stimulation by a substance. Thus, "adrenergic" describes something that is activated by epinephrine.

68. Islet-related: The word part "islet-" refers to the pancreatic islets. To describe something pertaining to the pancreatic islets, we can use the suffix "-related." Therefore, "islet-related" is the correct term for something pertaining to the pancreatic islets.

69. Goiter: Enlargement of the thyroid is commonly referred to as a "goiter." In this case, the specific word parts from the bank are not used to form the term.

70. Thyrotropic: When we want to describe something that acts on the thyroid, the appropriate word parts are "thyro-" for the thyroid gland and the suffix "-tropic" indicating an agent that acts upon or influences something. Thus, "thyrotropic" is the correct term for something acting on the thyroid.

71. Somatic: To describe something that acts on the body, the word part "somato-" is used, which refers to the body. Therefore, "somatic" is the term that describes something acting on the body.

72. Gonadotropic: The word part "gonado-" is used to refer to the reproductive organs. When we want to describe something that acts on the reproductive organs, the suffix "-tropic" is used, indicating an agent that acts upon or influences something. Therefore, "gonadotropic" is the correct term for something acting on the reproductive organs.

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The probability when the value of W = 1 is 0.1 , probability when the value of W = 10 is 0.2 and probability when the value of W = 25 is 0.7  .

In the question ,

the marked price slips are $1, $1, $1, $10 and $25 .

If the winner selects two slips of paper, then the possible outcomes would be ,

total number of slips is = 5 ,

Total number of cases possible = ⁵C₂ = 10

There would be only 1 case in which the winner will win $1

that means when both the slips selected has $1.

So, P(Winning $1) = 1/10 = 0.1

the number of cases to win $10 is {(1,10) , (10,1)}

So , P(Winning $10) is

= 2/10 = 0.2

So , P(Winning $25) is

= 1 - (0.1 \(+\) 0.2)

= 0.7

Therefore , the required probability P(Winning $1) = 0.1 , P(Winning $10) = 0.2 and P(Winning $25) = 0.7

The given question is incomplete , the complete question is

A box contains five slips of paper, marked $1, $1, $10, $25, and $25. The winner of a contest selects two slips of paper at random and then gets the larger of the dollar amounts on the two slips. Define a random variable w by w = amount awarded. Determine the probability distribution of w. (Hint: Think of the slips as numbered 1, 2, 3, 4, and 5, so that an outcome of the experiment consists of two of these numbers.)

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Answer:

y = (-13/11)x - 5/11

Step-by-step explanation:

Where's the list of equations from which you're to choose?

The line that connects points (-8 ,9) and (3, -4) has the following slope:

          9 - (-4)

m = ----------------- = -13/11

          -8 - 3

Then the new line with this slope is y = (-13/11)x + c

and because (-8, 9) satisfies this equation, 9 = (-13/11)(-8) + c, and we need to calculate c from this.                                 9 = 104/11 + c, or

                                                                        -c = 104/11 - 99/11, or - 5/11

Then the desired equation is y = (-13/11)x - 5/11

Answer: slope is 3

Step-by-step explanation:

3 resembles the slope in 3x

The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

Simplify the complex fraction,

This can be re-written as:

Simplify,

Simplify further,

The complate table is,

Statement                                                 Reasons

1) K is the midpoint of segments                      Given

  RM and JL.

2) RJ ≅ ML                                                  SSS Congruence Postulate

3) RK ≅ MK ,  JK ≅ LK                                 Definition of Midpoint

4) RK = MK , JK = KL                                    Definition of Congruence

                                                                   Segments

5) Δ EGF ≅ Δ EGH                                      CPCTC

A line segment is a part of line having two endpoints and it is bounded by two distinct end points and contain every point on the line that is between its endpoint.

Given that;

K is the midpoint of segments RM and JL.

Now,

Since, K is the midpoint of segments RM and JL.

Hence, We get;

   Statement                                                 Reasons

1) K is the midpoint of segments                      Given

  RM and JL.

2) RJ ≅ ML                                                  SSS Congruence Postulate

3) RK ≅ MK ,  JK ≅ LK                                 Definition of Midpoint

4) RK = MK , JK = KL                                    Definition of Congruence

                                                                   Segments

5) Δ EGF ≅ Δ EGH                                       CPCTC

Thus, The complete table is shown above.

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Answer:

256 train or 80% of the trains arrived on time

Step-by-step explanation:

Total trains that arrived in a week = 320 trains

Late = 5% of 320

early = 15% of 320

On time = 320 - (15 + 5% of 320)

=> 320 - (20% * 320)

=> 320 - 64

=> 256

Therefore, 256 train or 80% of the trains arrived on time

Hope my answer helps :)

Answer:

(3g + 1)(x + 8)

Step-by-step explanation:

3g2+ 25g + 8; think of FOIL

(3g + ___ ) (g + ___); you know you will get the first term when you multiply 3g and g.  Also you know that the signs will be positive because 25g and 8 are positive.

Now think of the multiples for 8 because it will be the last term; it could be 4*2 or 8*1 and move the options so you get 25g from outers and inners.  You will get this

(3g + 1)(x + 8)

Most chihuahuas have shoulder heights between 15 and 23 centimeters.The compound inequality relating the estimated shoulder height (in centimeters) of a dog to the internal dimension of the skull d (in cubic centimeters) is 15 ≤ 1.04d – 34.6 ≤ 23.

To solve the compound inequality, we need to isolate the variable "d" and find the range of values that satisfy the inequality.

Starting with the compound inequality: 15 ≤ 1.04d – 34.6 ≤ 23

First, let's add 34.6 to all three parts of the inequality:

15 + 34.6 ≤ 1.04d – 34.6 + 34.6 ≤ 23 + 34.6

This simplifies to:

49.6 ≤ 1.04d ≤ 57.6

Next, we divide all parts of the inequality by 1.04:

49.6/1.04 ≤ (1.04d)/1.04 ≤ 57.6/1.04

This simplifies to:

47.692 ≤ d ≤ 55.385

Therefore, the internal dimension of the skull "d" should be between approximately 47.692 cubic centimeters and 55.385 cubic centimeters in order for the estimated shoulder height to fall between 15 and 23 centimeters for most Chihuahuas.

For most Chihuahuas, the internal dimension of the skull "d" should be within the range of approximately 47.692 cubic centimeters to 55.385 cubic centimeters to ensure the estimated shoulder height falls between 15 and 23 centimeters.

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The forecast for the first week in April is Option B, 217.33.

By using a three-week moving average to forecast the rate of new driver's license applications for the first week of April, means that we will average the rate of new driver's license applications over the last three weeks to forecast the rate for the next week.

Let's calculate the moving average for the first week of April.

Given weeks 2, 3, and 4 of March are 199, 215, and 212, respectively.

To find the three-week moving average, we add these three rates and divide by three:

(199 + 215 + 212) / 3 = 208.67

Therefore, the forecast for the rate of new driver's license applications for the first week of April using the three-week moving average is 208.67, rounded to two decimal places, the closest option to 208.67 is option B, which is 217.33.

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