parallel to line y=-3x+5 passes through (-4,5) point slope form

Answer:

-6

Step-by-step explanation:

2 * 3^2 - (8 * 3) = 18 - 24 = -6

Answer:

Step-by-step explanation:

10x - 30 + 8 - 2x = x + 2x - 22

8x - 22 = 3x - 22

-3x          -3x

5x-22=-22

    22 22

5x=0

/5  /5

x=0?

The two lines have the same slope, therefore they are parallel and there is no solution.

y=-2x+6 y=2x+2 is linear or not?

This is an example of a simple linear function. The line you see on the graph, is an expression of the function rule "y = 2x +6".

2x+y=6 ⇒(1)

2x-y=2⇒(2)

Add equ(1) and (2)

so by adding we get,

2x+y+2x-y=6+2

adding the like terms.

we get,

4x=8

x=8/4=2

put x=2 in equ(1)

we get,

2(2)+y=6

4+y=6

y=6-4=2

so the values of x and y are 2 , 2 .

Therefore, The two lines have the same slope, therefore they are parallel and there is no solution.

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No, Emma will not have enough money left over to spend 3 times as many catnip toys as chew toys.

For planning our spending, saving, and investing, we need math. In each scenario, having a solid grasp of mathematical ideas will be advantageous to your own finances. We are all effectively "bankers" in our individual lives because the term "banking" relates to handling money.

In this question,

1. Emma needs to spend $35 on 2 chew toys and 1 bag of dog food, which comes out to $20 + $15.

2. She has $65 in leftover funds because she has $100 to spend and $35 to spend it on.

3. She would need to spend $30 on 6 catnip toys, which is three times the amount she would spend on chew toys.

4. Nevertheless, she has just $65 left over, which is insufficient to pay for six catnip toys.

5. Consequently, Emma does not have enough cash on hand to purchase three times as many catnip toys as chew toys.

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Answer: a. To find the slope and y-intercept of the linear equation, we need to write it in slope-intercept form (y = mx + b). To do this, we can add 10y to both sides and divide both sides by 10 to get:

y = -559x/10 - 2701/10

y = -55.9x - 270.1

The slope of the equation is -55.9, and the y-intercept is -270.1

b. The slope of a linear equation is the rate of change of the dependent variable (y) with respect to the independent variable (x). In this context, the slope of -55.9 means that for every year after 2012, the number of people employed as registered nurses is expected to decrease by 55.9 thousand.

c. The y-intercept of a linear equation is the point where the line crosses the y-axis. In this context, the y-intercept of -270.1 means that in 2012, there were expected to be 270.1 thousand people employed as registered nurses.

Step-by-step explanation:

The argument of the complex number z = 1 - i is approximately -0.785 radians.

What is the argument in complex numbers?

In complex numbers, the argument (also called the amplitude or angle) of a complex number is the angle that the complex number makes with the positive x-axis in the complex plane. It is usually expressed in radians and is denoted by arg(z).

Given a complex number z = 1 - i, the argument of z can be found using the inverse tangent function (atan). In this case, we want to find the angle θ such that tan(θ) = (imaginary part of z) / (real part of z):

θ = atan((-1) / 1) = -π/4 radians

Hence, the argument of the complex number z = 1 - i is approximately -0.785 radians.

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Answer:

Your answer is:

B) The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55

And

C) The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71

Step-by-step explanation:

The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55 and The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71

Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

The formula for the area of a regular polygon is A=1/2aP

Where a is the length of the apothem and P is the perimeter.

The apothem of a regular pentagon is 4.6797 cm, and the perimeter is 34 cm. The area equals 79.55

A=1/2×4.6797×34

We have to get 79.55 to tell the option B is true.

A=79.55

SO option B is correct.

Now let us check for C.

The apothem of a regular octagon is 6.0355 cm, and the length of a side is 5 cm. The area equals 120.71

Perimeter of octagon =8a

a is the side

Perimeter=8×5=40

A=1/2×6.0355×40

A=120.71 square centimeter.

Hence, option B and option C are correct.

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The numeric value of the function H(x) = 10 + 0.07x when x = 20 is given as follows:

11.4.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

The function in this problem is defined as follows:

H(x) = 10 + 0.07x.

When x = 20, the numeric value is found replacing the lone instance of x by 20, hence:

H(20) = 10 + 0.07(20)

H(20) = 10 + 1.4

H(20) = 1.4.

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The answer to the true and false questions are given below:

Coordinates of L = (-1, -3)

M= (1, 3)

N = (1, -3)

Coordinates of F = (2, 6)

G= (3, 9)

H= (3, 6)

To find the distance b/w the points:

\sqrt(x2-x1)^2 + (y2 -y1)^2)

MN/NL =3

GH/HF = 3

Hence, it is true.

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The term that best describes the entry of 51% in this table is "Marginal relative frequency. The correct option is B.

The ratio of a row total's or column total's frequency to the overall frequency of the data is known as marginal relative frequency. It is frequently used to examine broad trends in a single category of data.

For instance, the number of female students would be one marginal frequency in a table of students classified by sex and area of study, and the number of students enrolled in a particular area of study would be another, regardless of sex.

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Answer:

52kg

Step-by-step explanation:

The Fundamental Theorem of Calculus (FTC) has two parts: Part 1 and Part 2.

Part 1 (The Antiderivative Part) states that if f is a continuous function on an interval [a, b], then there exists an antiderivative F of f on [a, b], meaning that F'(x) = f(x) for all x in [a, b].

This means that given a function, we can find a new function that when differentiated, returns the original function.

Part 2 (The Evaluation Part) states that if F is an antiderivative of f on [a, b], then the definite integral of f over [a, b] can be calculated as the difference of the values of the antiderivative F evaluated at the endpoints, i.e., ∫_a^bf(x)dx = F(b) - F(a).

This means that we can evaluate the definite integral of a function by finding its antiderivative and evaluating it at the endpoints of the interval.

Part 1 is used to find antiderivatives, while Part 2 is used to evaluate definite integrals. They are complementary and are used in tandem to solve problems involving integration.

A real-world example that involves Part 2 of the FTC is the calculation of the total distance traveled by a moving object. If the velocity of the object is given as a function of time, we can use the FTC to calculate the total distance traveled by finding the definite integral of the velocity function over the time interval and evaluating it at the endpoints. The result is the difference between the final and initial positions of the object.

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1

Multiply 3×6 which gets you 18

Now you have M18 ÷ M18

Divide it, and you'll get 1

If the court of the length of the most comprehensive side of a triangle is equivalent to the sum of the squares of the additional two sides, then the triangle is good.

What is meant by Pythagorean theorem?

That exists, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR living at the right angle.

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Answer:

The annual rate of interest would have to be approximately 12.77% for Terrance to earn $600 in interest in 4.7 years from an investment of $12,000.

Step-by-step explanation: This can be calculated by using the formula:

(future value) = (principal) * (1 + (interest rate) )^(number of years)

where future value = $12,600, principal = $12,000, number of years = 4.7

so (12600/12000)^(1/4.7) = 1 + r

r = (12600/12000)^(1/4.7) - 1 ≈ 12.77%

The probability that the sample proportion of males will be at least 0.30 is 0.1043.

It can be calculated by using a binomial probability formula. The formula is P(X ≥ 30) = ΣP(X = k), where k = 30, 31, 32, . . . , 200.

The probability is 0.1043.

b. After adding the male host, the station records select a random sample of 200 callers and finds that 30% are male. This provides convincing evidence to suggest that the proportion of male callers has increased from 20%. This is because the probability of observing a sample proportion of 30% or higher is 0.1043, which is greater than the 0.05 significance level commonly used in hypothesis testing. This means that the probability of the observed sample proportion being due to chance is very low and it is likely that the proportion of male callers has increased.

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A positive cation and a negative anion makes ionic compound. So both the ions i.e cation and anions are open.

Membrane potential is a potential gradient that forces ions to passively move in one direction: positive ions are attracted by the 'negative' side of the membrane and negative ions by the 'positive' one. Generally Voltage gated channels- open and close in response to changes in the voltage or membrane potential; involved in generating action potentials. As stars and triangles represents the cations and anions both channel types are open to lead the most positive membrane potential.

Therefore , both the channel types ( triangle and star ) are open to lead the most positive membrane potential.

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True. Collaborating with a social scientist can help identify and address potential sources of bias in data, allowing for more accurate and meaningful results.

Collaborating with a social scientist to provide insights into human bias and social contexts is an effective way to avoid bias in data. Social scientists can help identify and address potential sources of bias in data, allowing for more accurate and meaningful results. This can be done in several ways. Firstly, they can help identify potential sources of bias, such as demographic variables, cultural norms, and other external factors that may affect the data. Secondly, they can help devise strategies to counter the potential sources of bias. For example, they can suggest methods of incorporating diverse perspectives into the data collection process, or of analyzing data in a way that takes into account the potential effects of bias. Finally, they can provide insights into how social contexts can shape the interpretation of data, and can help ensure that any conclusions drawn from the data take into account the complexity of the social environment. By collaborating with a social scientist, researchers can help ensure that their data is free from bias, allowing for more meaningful and accurate results.

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Yes, the data support the use of a normal mode.with two standard deviations, the quantities have always been 0.95, and according to the empirical rule.

According to the question,

The values that are one standard deviation away are:

= 0.33+0.36

= 0.69

As per the empirical rule, the value will be:

= 0.68

Consequently, with two standard deviations, the quantities have always been 0.95, and according to the empirical rule. So the empirical rule followed by the data.

Thus the above response is correct.

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Answer:

5, 5, 3, 12, 5

Step-by-step explanation:

This is because the criteria for the numbers are;

*** It must sum up to 30 to get a mean of 6

*** 5 must occur more than once

*** The difference between the largest and smallest number is 9

The function is periodic in both x and y, and the function is the same when x is interchanged with y, so its graph is symmetric about the plane y = 0. In addition, the function is periodic along the x- and y-axes. These conditions are satisfied only by C and IV.

A: The function plane does not have a zero or linear behavior, so this option is not correct.

B: The function does not have a linear behavior, so this option is not correct.

C: The function is periodic in both x and y, so this option is correct.

D: The function does not have a parabolic behavior, so this option is not correct.

E: The function does not have a periodic behavior, so this option is not correct.

F: The function does not have a linear behavior, so this option is not correct.

I: The function is the same when x is interchanged with y, so this option is correct.

II: The function is not symmetric about the plane y = 1, so this option is not correct.

III: The function is not symmetric about the plane y = 2, so this option is not correct.

IV: The function is symmetric about the plane y = 0, so this option is correct.

V: The function is periodic along the x- and y-axes, so this option is correct.

VI: The function is not linear along the x- and y-axes, so this option is not correct.

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The graphing window that will correctly graph the linear function is given as follows:

-1 <= x <= 15 and -150 <= y <= 3700.

The linear function in slope-intercept format for this problem is defined as follows:

y = mx + b.

In which:

Hence the function for this problem is defined as follows:

y = 100 + 300x.

Meaning that the amounts of the initial and final days are given as follows:

And the graph window is given as follows:

-1 <= x <= 15 and -150 <= y <= 3700.

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The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by y = 31 + 2.3x

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, In a certain​ year, ​30% of adults in a certain country viewed a college education as essential for success. For the following​ ten-year period, this percentage increased by approximately 2.3 each year.

Therefore, we have,

Initial percentage = 31%

Average increase of percentage = 2.3% per year

Therefore, it can be represented as:

y = 31 + 2.6x,

Where,

y- percentage after x years, x - number of years after the first year

Hence, the percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by y = 31 + 2.3x

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Answer:

60

Step-by-step explanation:

Calculate the sum or difference

12^2 x 5 / 12

Cancel out the common factor 12

12 x 5
Multiply the numbers

60

Solution:

60

Hope this helps!! <3

The volume of the large container is given as follows:

508.68 in³.

The ratio of the volumes is of:

B) 2.25

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

The parameters for the large container are given as follows:

h = 4.5, r = 0.5 x 8 x 1.5 = 6.

(as the diameter is half the radius).

Hence the volume of the large container is obtained as follows:

V = 3.14 x 6² x 4.5 = 508.68 in³.

The ratio is of 2.25, as the radius is squared.

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Correct answer is :- Voluntary response sample

'What is Voluntary response sample?'

A sample made up of people who have voluntarily decided to take part in the sample group is known as a voluntary response sample.

Those who want to participate in a voluntary response sample typically do so because they are passionate about the topic of the survey. This is why voluntary response samples frequently produce results that are considerably biased, as the majority of participants will have strong opinions on the subject. The ease of joining the survey is another factor in people's participation.

An example would be a TV show host asking his audience to visit his website and participate in an online survey.

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A random sample of 100 people that would best estimate the proportion of all registered voters in a district who support improvements to the high school football field should be drawn from registered voters at a football game.

Here,

Drawing the sample at a football game is more likely to provide a representative sample of the entire population of registered voters in the district.

This is because people attending football games are likely to include a diverse mix of registered voters from various backgrounds and demographics.

It can provide a broad representation of the population, which is crucial for obtaining accurate estimates of the proportion of voters who support improvements to the high school football field.

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Answer:

C.

Step-by-step explanation:

If by "turns in" they mean order, than its not a 3:4 ratio

Answer:

$210 when round up

Step-by-step explanation:

To find the total estimate for the repairs, we need to add up the cost of each individual repair.

Wheel alignment: $110

Transmission fluid flush: $75

Cabin air filter: $23

Total estimate = $110 + $75 + $23 = $208

Pam rounded the costs to the nearest $10, so the total estimate may not be exactly $208, but it will be close to it.