Find the values of x and y.
(10x – 4)º
16yº
(18y – 18)°
6(x + 2)°

Answer:

Step-by-step explanation:

First you have to calculate CB in order to use sin law to calculate ∠A

CB=\(\sqrt{18.4^{2} -13.2^{2} }\)

CB=12.8(correct to nearest tenth)

After that, use sin law to calculate ∠A,

\(\frac{18.4}{sin90} =\frac{12.8}{sinA}\)       or    \(\frac{sin90}{18.4} =\frac{sinA}{12.8}\)

sinA=0.695...

A=44.079...

  =44.1(corrext to the nearest tenth)

Is that clear enough for you?

The equation of the line is y = 3x, and the graph is a straight line.

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given are points we need to find the equation of a line that passes through these lines,

We know that, the equation of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by;

y-y₁ = y₂-y₁ / (x₂-x₁) (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (3,9) and (2,6);

Therefore,

y-9 = 6-9 / 2-3 (x-3)

y-9 = 3(x-3)

y-9 = 3x-9

y = 3x

Hence, the equation of the line is y = 3x

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On equal intervals, the y-values of a quadratic function have a common second difference.

In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two (2) or more variable on a graph, with a maximum exponent of two.

Generally speaking, the differences between the y-values of any quadratic function on equal intervals would always differ by a common numerical value.

For instance, we have the following:

y = x²; for these x-values = 2, 4, 6, and 8.

y = 4, 16, 36, and 64.

Differences = 12, 20, 28

Second difference = (20 - 12) = (28 - 20) = 8.

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The statement: "The intersection of the lines drawn perpendicular to each side of the triangle through its midpoint." Hence, option (D) is correct.

We have a statement:

What types of concurrent constructions are needed to find the circumcenter of a triangle?

As we know, the junction of the lines passing through the triangle's middle and perpendicular to each of its sides.

The type of concurrent construction is the intersection of the lines drawn perpendicular to each side of the triangle through its midpoint.

Thus, the statement: "The intersection of the lines drawn perpendicular to each side of the triangle through its midpoint." Hence, option (D) is correct.

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The complete question is-

What types of concurrent constructions are needed to find the circumcenter of a triangle?

A. Intersection of the lines drawn to bisect each vertex of the triangle.

B. Intersection of the lines drawn to the midpoint of each side of the triangle to its opposite vertex.

C. Intersection of the lines drawn from each vertex of the triangle and perpendicular to its opposite side.

D. Intersection of the lines drawn perpendicular to each side of the triangle through its midpoint.

Answer: 10

Step-by-step explanation:

4 divided by 2/5 = 10

It's more understood in decimal form where 2/5 = 4/10 = 0.4  then to check 0.4 x 10 = 4

A transversal is a third line that crosses two other lines.

Lines on a plane that do not intersect are considered parallel lines in geometry. It is referred to as being parallel when two straight lines in a plane do not cross at any point.

Eight distinct angles may be obtained by drawing two parallel lines, a line across them, and then another line through that.

A key mathematical ability that calls for conceptual comprehension and clarity is the angles form. Worksheets on angles generated by parallel lines and transversals provide a variety of activities and problems based on angles that can aid students in learning about angles.

Correct question: What is the angles formed by a transversal called?

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Answer:

1240.4 mm²

Step-by-step explanation:

SA of Pentagonal pyramid:

(as)(5/2) + (sl)(5/2)

↑ ↑

base area lateral area

_____________________

a: apothem (in-radius) length, s: side length.

l: slant height.

______________________

Since we are already given the base area which is 440.4 mm². All we need to do is find the lateral area and add both areas together.

Given that the triangular face of the lateral part has a side/base length of 16mm, and a 20mm slant height.

A triangle has an area of ½bh and since there are 5 of these faces total, (5)(½bh) = (5/2)(bh). In a three dimensional perspective, b will be s and h will be l so (sl)(5/2).

With this information the surface area is:

(16)(20)(5/2)mm + (440.4 mm²) →

800 mm² + 440.4 mm² =

1240.4 mm²

A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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Answer:

284.72

Step-by-step explanation:

Multiply 0.76 x 190. you get 144.4. then you add what she makes so add 140.32 to get your answer of 284.72 :)

Remember to thank and mark brainiest if this helped!

Answer:

1) T = 0.76m + 140.32

2) $284.72

Step-by-step explanation:

→ Substitute m as 190

(0.76 × 190) + 140.32

→ Simplify

$284.72

Answer:-

c) FE

FE is the line segment of radius F since the point F to point E is present in the line.

Answer:

y=3x-2

Step-by-step explanation:

y = 3x+ 2 ; y= 3x - 2 is a system of equations with no solution.

For data at the interval​ level, we cannot calculate meaningful differences between data entries. The statement is false.

Interval:

The interval of a numerical value generally represents the maximum and minimum value between which the numerical value belongs, it is the amount of time that has passed between the beginning and end of the event which is also known as elapsed time.

The various ways of showing intervals are Inequalities, interval notations, and number lines, the amount of time between two given times is known as the time interval.

Data at the ordinal level can be qualitative or quantitative.  A true statement is​ "For data at the interval​ level, you can calculate meaningful differences between data​ entries."

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All options are true except option iii)

Given function is f(x) which is defined for all real numbers.

What is a critical point? A critical point of a function is a point where the derivative of the function equals zero or fails to exist. For a given function f(x), select the true statements:

i) If f(x) is continuous on (a,b), then f(x) attains an absolute maximum value f(c) and an absolute minimum value f(d) for some numbers c and d in (a,b).

ii) If f(x) has a critical point at x=c, then f'(c)=0.

iii) If f(x) has a local minimum value at x=c, then f'(c)=0.

iv) If f'(c)=0, then f(x) has a local maximum or minimum at x=c.

v) If f'(c) is undefined, then x=c is a critical point of f(x). From the above all options, all options are true except option iii). Option iii is incorrect because if f(x) has a local minimum or maximum value, then f'(c)=0 is not necessary. The necessary condition is f'(c)=0 but the converse is not true.

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Question has errors in typing that 572 should be √57/2

Because if it's 572 then 2a=1 so

Also

c also comes different

If it's like what I said

then

and

By putting values

Option B can be correct

Answer:

B: a = 1, b= 7, c = -2

Step-by-step explanation:

Quadratic Formula

\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0\)

Given:

\(x=\dfrac{-7\pm\sqrt{57}}{2}\)

Comparing the terms of the given x-value with those of the quadratic formula:

\(\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}=\dfrac{-7\pm\sqrt{57}}{2}\)

Therefore:

Using the found values of a and b to solve for c:

\(\implies b^2-4ac=57\)

\(\implies (7)^2-4(1)c=57\)

\(\implies 49-4c=57\)

\(\implies -4c=57-49\)

\(\implies -4c=8\)

\(\implies c=-2\)

In summary:   a = 1,  b = 7,  c = -2

\(\implies x^2+7x-2=0\)

Therefore, option B is the correct solution.

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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To find the expected number of times Joan rolls a 3, we use the formula for mean of a binomial distribution.

The correct option is, option (C) 6.

The probability of rolling a number 3 on any given roll is 1/4

If Joan rolls the die 20 times, the number of times she rolls a 3 will follow a binomial distribution with n = 20 (number of trials) and p = 1/4 (probability of success).

The formula for the probability mass function of a binomial distribution is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (the number of times Joan rolls a 3), k is the number of successes, n is the number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items.

Using this formula, we can calculate the probability of rolling a 3 exactly k times out of 20 rolls:

P(X=k) = (20 choose k) * (1/4)^k * (3/4)^(20-k)

To find the expected number of times Joan rolls a 3, we can use the formula for the mean of a binomial distribution:

E(X) = n * p

In this case, E(X) = 20 * 1/4 = 5

Therefore, the expected number of times Joan rolls a 3 is 5.

Since the possible answers are integers, the closest answer to 5 is 6. Therefore, the answer is (C) 6.

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The true proportion of all American adults who would report having earned money by selling something online in the previous year lies between 0.178 and 0.221.

A confidence interval is computed from the sample data and provides a range of values within which the true population parameter is expected to lie. The confidence level is the probability that the confidence interval contains the population parameter.

Using this critical value, we can construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year. To do this, we use the formula:

confidence interval = sample proportion ± z* (standard error)

The sample proportion is the number of adults who reported earning money by selling something online (914) divided by the total sample size (4579), which gives us a proportion of 0.1997.

The standard error is calculated as:

standard error = √ [(sample proportion)(1 - sample proportion) / sample size]

Substituting the values, we get:

standard error = √ [(0.1997)(1 - 0.1997) / 4579] = 0.009

Plugging in the values, we get:

confidence interval = 0.1997 ± 2.33(0.009)

This gives us a confidence interval of 0.178 to 0.221.

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In a normal distribution, changing the standard deviation affects the shape and spread of the distribution.

1. Increase in standard deviation: When the standard deviation increases, the distribution becomes wider and more spread out. This means that the data points are more dispersed from the mean, resulting in flatter and broader tails in the distribution curve. The distribution becomes more spread out, indicating a greater variability in the data.

2. Decrease in standard deviation: Conversely, when the standard deviation decreases, the distribution becomes narrower and more concentrated around the mean. The data points are less spread out, and the distribution curve becomes taller and sharper. The distribution becomes more compact, indicating less variability in the data.

Overall, the standard deviation measures the average amount by which individual data points deviate from the mean. It quantifies the spread or dispersion of the data in relation to the mean.

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In a normal distribution, changing the standard deviation affects the shape, location, and spread of the distribution curve. A larger standard deviation results in a wider and flatter curve, indicating greater variability in the data. Conversely, a smaller standard deviation results in a narrower and taller curve, indicating less variability in the data.

In a normal distribution, the standard deviation measures the spread or variability of the data. When the standard deviation is increased, the distribution becomes wider, and when it is decreased, the distribution becomes narrower.

A larger standard deviation means that the data points are more spread out from the mean, resulting in a flatter and wider curve. This indicates a greater variability in the data. On the other hand, a smaller standard deviation means that the data points are closer to the mean, resulting in a taller and narrower curve. This indicates less variability in the data.

The standard deviation also affects the location of the distribution curve. The mean of the distribution remains the same, but the curve is shifted to the left or right depending on whether the standard deviation is increased or decreased.

Changing the standard deviation has important implications in various statistical analyses and probability calculations. It helps determine the likelihood of certain events occurring within a given range of values.

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Answer:

y=3x+2

Step-by-step explanation:

The slope-intercept form is written in y=mx+b.
An example would be y=3x+2.

You can essentially put anything here, like:

y=1.5x+6

y=6x+1.5

y=2/3x+129

Binomial distribution will be used to know the probability that the total weight of the samples will exceed 530 pounds.

It is given that the rocket that will return the rock and soil samples to Earth cannot lift off if the total weight of the samples from the rovers exceeds 530 pounds.

In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean-valued outcome: success (with probability p) or failure (with probability q = 1 − p). A single success/failure experiment is also called a Bernoulli trial or Bernoulli experiment, and a sequence of outcomes is called a Bernoulli process; for a single trial, i.e., n = 1, the binomial distribution is a Bernoulli distribution. The binomial distribution is the basis for the popular binomial test of statistical significance.

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A simple random sample of 50 adults were asked to reveal their gross annual incomes, variance of sample is an estimate of the variance of the population but may differ from the variance of the population.

The variability in a particular sample is determined using sample variance. A sample is a collection of observations taken from a population that can accurately reflect the entire population. The sample variance is calculated in relation to the data set mean. Additionally called the estimated variance.

The spread of the data points in a particular data set around the mean is measured using sample variance. The population refers to all observations made of a group. Calculating the population's variance becomes challenging as the number of observations rises. In this case, a predetermined number of observations are chosen that can be applied to the entire group as a whole.

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Complete question;

A simple random sample of 50 adults were asked to reveal their gross annual incomes. The variance of this sample:

To find the polar coordinates (r, θ) corresponding to the Cartesian coordinates (-6, 6), we can use the following formulas:

r = √(x² + y²)

θ = arctan(y / x)

(a) For the given point (-6, 6):

x = -6

y = 6

First, let's find the value of r:

r = √((-6)² + 6²) = √(36 + 36) = √72 = 6√2

Next, let's find the value of θ:

θ = arctan(6 / -6) = arctan(-1) = -π/4 (since the point lies in the third quadrant)

Therefore, the polar coordinates of the point (-6, 6) are (6√2, -π/4).

(b) For r > 0 and 0 ≤ θ < 2:

In this case, the polar coordinates will remain the same: (6√2, -π/4).

(c) For r < 0 and 0 ≤ θ < 2:

Since r cannot be negative in polar coordinates, there are no valid polar coordinates for r < 0 and 0 ≤ θ < 2.

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the anwser is C I have seen it before but don't know how to do it but is C

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

Explanation:

x = original amount of caster oil (in quarts)

Since 15% remains, this means you used 85% of the original amount x.

Note how 15% + 85% = 100%

So,

85% of x = 34 quarts

0.85x = 34

x = 34/0.85

x = 40

You started with 40 quarts of oil.

15% of that remains, meaning 0.15*40 = 6 quarts of oil are left over.

-----------

We could also solve like this

(amount used)/(amount total) = (percent)/(100)

34/x = 85/100

34*100 = x*85

3400 = 85x

85x = 3400

x = 3400/85

x = 40

So we end up with the same x value as before, and we follow the same set of steps at the end of the first section to end up with the answer of 6 quarts.

The difference between the y-intercepts of the lines y = 5x + 3 and

y = (17/2)x - 19 is  22 units.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

The given equation of the line in slope intercept form is y = 5x + 3.

The slope of the line given in the table is,

m = (32 - 15)/(6 - 4).

m = 17/2.

Now, 15 = (17/2)×4 + b.

15 = 34 + b.

b = - 19.

So, The required equation of the line is y = (17/2)x - 19.

The difference between the y-intercepts of the lines y = 5x + 3 and

y = (17/2)x - 19 is 3 - (- 19) = 22 units.

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Answer:

I don't see the answer  but it is 3/2x - 3 = y

Step-by-step explanation:

did it on edge 2020

The equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3. Option E is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The equation is formed by finding the slope using the coordinates ( 0,-3 ),( 2, 0 ) and ( 4, 3 ).

The slope is calculated as,

\(m = \dfrac{x_2-x_1}{y_2-y_1}\)

x₁ = 0, y₁ = -3 and x₂ = 2, y₂ = 0.

The equation is given as,

y = mx + c

y = (-3/2)x - 3

Therefore, the equation of the line representing the graphed function is y = ( 3/ 2 ) x - 3.

The complete question is given below;-

A coordinate plane with a line passing through (0, negative 3), (2, 0), and (4, 3).

Which equation represents the graphed function?

–3x + 2 = y

–x + 2 = y

x – 3 = y

2x – 3 = y

y = ( 3/ 2 ) x - 3.

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After answering the provided question, we can conclude that As a result, expression Eukenes' new room could have the following rectangular dimensions: 10 ft. x 11 ft. ; 9 ft. x 13 ft.; 8 ft. x 15 ft.; 7 feet wide by 17 feet long.

An expression in mathematics is a collection of interpretations, digits, and transnational corporations that resemble a clear relationship or regimen. A sequence of numbers, a mutable, or a combo of the two can be used as an expression. Mathematical operators include addition, subtraction, growing influence, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

Eukenes' current bedroom is located in:

108 square feet = 9 feet x 12 feet

The main room area without the alcove is:

9 feet x 12 feet minus 4 feet x 3 feet equals 108 square feet minus 12 square feet equals 96 square feet.

To determine the dimensions of the new room, we must first locate a rectangle with an area greater than or equal to 108 square feet.

Let's take a look at each option:

110 square feet = 10 feet x 11 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

117 square feet = 9 feet x 13 feet

This room is also larger than Eukenes' current bedroom and could accommodate him.

120 square feet = 8 feet x 15 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

119 square feet = 7 feet x 17 feet

This room is slightly larger than Eukenes' current bedroom and would suffice.

114 square feet = 6 feet x 19 feet

This room is much smaller than Eukenes' current bedroom and would be ineffective.

As a result, Eukenes' new room could have the following rectangular dimensions:

10 ft. x 11 ft.

9 ft. x 13 ft.

8 ft. x 15 ft.

7 feet wide by 17 feet long.

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