-5x+ 10 = =5y
Slope-Intercept Form

Answer:

2.45%

Step-by-step explanation:

(2.86 - 2.79) / 2.86 = 0.0245

0.0245 x 100 = 2.45%

Answer:

This is true.

Step-by-step explanation:

To prove this as true what we can do is draw a graph. On one of the graphs, we will have a point at (-7,1). If we were going to reflect it over the y-axis by counting the distance it is from the y-axis and counting it in the other direction. When we do this we get a point of (7,1). We can infer that because it was flipped in the y-axis the y value stayed the same while the x-axis changed.

This is how we can prove this to be true.

The difference between r and p.  is that r represents the sample correlation coefficient while p represents the p-value

Generally, r represents the sample correlation coefficient, which is a measure of the strength and direction of the linear relationship between two variables in a sample of data. It ranges from -1 to 1, where -1 represents a perfect negative correlation, 0 represents no correlation, and 1 represents a perfect positive correlation.

p represents the p-value, which is a measure of the statistical significance of the sample correlation coefficient. It represents the probability that the observed correlation occurred by chance, assuming that there is no true correlation in the population.

A p-value of less than 0.05 is often used as a threshold for determining statistical significance, meaning that the observed correlation is unlikely to have occurred by chance and is likely to reflect a true correlation in the population.

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Answer:

purple = 6

orange = 4

blue = 2

red = 5

green = 3

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

hope this helps

The Fourier series can be used to approximate the original function with increasing accuracy as more terms are added to the sum.

The Fourier series of a function is a mathematical representation of a periodic function using the sum of sinusoids. The Fourier series uses the orthogonal basis functions of sine and cosine to represent the periodic function. The Fourier series can be used to analyze and manipulate various signals, including sound and light waves, by breaking them down into their constituent frequencies and amplitudes.
Now, to compute the Fourier series of f(x)={−1,1−3≤x<0  with period 6, we first need to find the Fourier coefficients. The Fourier coefficients can be calculated using the formula:
cn = (1/T) * ∫f(x) * e^(-j2πnx/T) dx
where T is the period of the function and n is the integer index of the Fourier coefficient. Using this formula, we can compute the Fourier coefficients as follows:
c0 = (1/6) * ∫f(x) dx = (1/6) * [∫(-1) dx + ∫(1) dx] = 0
cn = (1/6) * ∫f(x) * e^(-j2πnx/6) dx
   = (1/6) * [∫(-1) * e^(-j2πnx/6) dx + ∫(1) * e^(-j2πnx/6) dx]
   = (1/6) * [-j6/(πn) * (e^(-j2πn/3) - e^(j2πn/3)) + j6/(πn) * (e^(-j2πn/6) - e^(j2πn/6))]
   = (1/πn) * [sin(πn/3) - sin(πn/6)]
Therefore, the Fourier series of f(x) is given by:
f(x) = ∑cn * e^(j2πnx/6)
    = (1/π) * [sin(πx/3) - sin(πx/6) + sin(π2x/3) - sin(πx) + sin(π4x/3) - sin(5πx/6) + ...]
The Fourier series can be used to approximate the original function with increasing accuracy as more terms are added to the sum.

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Answer:

The slope or incline is -5

Step-by-step explanation:

rewrite to get the form

y = ...

x - 5y = -10

- 5y = -10 -x

divide left and right if the = sign by -5 gives:

(-5/-5)y = (-1/-5)x + (-10/-5)

y = 1/5x +2

So the incline is 1/5

a perpendicular line has an incline of -1 *5/1 = -5

The slope or incline is -5

Answer:

82 degrees

Step-by-step explanation:

All triangles equal out to 180 degrees. 53 + 45 is 98. 180 - 98 = 82! Hope this helped.

Answer:

98 degrees

Step-by-step explanation:

Exterior angles: Angle x= angle GFH+ angle FHG

x=53+45

x=98 degrees

From.the calculated area and perimeter of the field, it will cost the farmer $475740 to fence and seed the pasture.

The area of the field is calculated as follows:

Area of square = 450 ft × 450 ft = 202500 square feet

Area of triangle = (450 ft × 120 ft)/2 = 27000 square feet

Area of field = 229500 square feet

Cost of seeding the field = 229500 × $2 = $459000

Perimeter of the field = 450 + 450 + 450 + 255 + 255 = 1860 ft

1 ft = 1/3 yard

1860 ft = 1860 × 1/3 yards = 620 yards

Cost of fencing = 620 × $27 = $16740

Total cost of seeding and fencing = $475200

Therefore, it will cost the farmer $475740 to fence and seed the pasture.

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Answer:

The data in this scenario would most likely be categorical, as the responses would likely consist of categories or labels that describe the different activities that the teenagers would like to see in the community room on Saturdays.

Step-by-step explanation:

For example, the responses might include categories such as "video games," "board games," "movie nights," "sports activities," "arts and crafts," and so on. These categories are not numerical values, but rather descriptive labels.

The interest rate charged by the bank. Based on this, he can plan his finances accordingly and pay back the loan on time

Francis owes a bank the amount D 2 4 ​ 2. When a person borrows a loan from a bank, he/she has to pay back the principal amount along with the interest charged on the amount borrowed. Interest is charged on the principal amount, and it is calculated as a percentage of the amount borrowed or the principal amount.

Interest is paid to the bank or the lender for using their money.Francis borrowed D242 from a bank, and it is unclear if the amount is a principal amount or a total amount (which includes interest). But assuming it is a principal amount, Francis has to repay D242 to the bank along with the interest charged by the bank.

The interest rate charged by banks differs depending on various factors such as loan tenure, credit score of the borrower, nature of the loan, etc.The borrower is responsible for paying back the loan on time to avoid getting into further debt and to maintain a good credit score. If the borrower defaults on paying back the loan, then the bank or the lender has the legal right to take legal action against the borrower and seize his/her assets to recover the debt.Francis needs to check his loan agreement to determine the loan amount (principal amount or total amount)

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Answer:

\(2x+5y=20\)

Step-by-step explanation:

Rearranging the equation of the given line into intercept form,

\(5y+2x=10 \\ \\ \frac{x}{5}+\frac{y}{2}=1\)

This means the intercepts are \((5,0)\) and \((0,2)\).

We need to find the equation of the line with intercepts \((0,4)\) and \((10,0)\). This equation is \(\frac{x}{10}+\frac{y}{4}=1\), which rearranges to give \(2x+5y=20\).

Answer:

-1

Step-by-step explanation:

Tn = a+(n-1)d (general formula)

Tn = 8-n (given formula)

T9 =8-9

T9=-1

Answer:

7.a) 5

7.b) 1/2

8. 1

Step-by-step explanation:

7.

a)

Read the points on the graph (0, 0) and (1, 5).

slope = (5 - 0)/(1 - 0) = 5/1 = 5

b)

read the points on the graph (0, 0) and (4, 2).

slope = (2 - 0)/(4 - 0) = 2/4 = 1/2

8.

Points (1, 4) and (5, 8)

slope = (8 - 4)/(5 - 1) = 4/4 = 1

Example of  linear inequalities; y ≤ x – 1 and y < –2x + 1

A combination of linear inequality equations with the same variables is referred to as a system of linear inequalities.

There are five inequality symbols used to represent equations of inequality.

These are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠). Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.

Example of  linear inequalities;

Graph the following system of linear inequalities:

y ≤ x – 1 and y < –2x + 1

Graph the first inequality y ≤ x − 1.

We will draw a solid border and shade below the line due to the "less than or equal to" mark.

On the same x-y axis, graph the second inequality, y -2x + 1.

In this instance, the less-than symbol will cause our boundaries to be dashed or dotted. Under the border, cast a shade.

As a result, the darker-colored zone extending indefinitely downward is the solution to this inequality problem, as seen below.

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Answer:

Option D [\(y=6.61\,*\,1.55^x\)] in the list of possible answers

Step-by-step explanation:

For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.

I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.

Notice that the exponential of best fit with my calculator comes in the form:

\(y=A\,e^{k\, x}\)

with optimized parameters:

\(A \approx 6.6114\,\,\,and\,\,\, k=0.4378321\)

Notice as well that since:

\(e^{0.4378321} \approx 1.5490\)

the exponential best fit can also be written:

\(y=6.611403\,\,*\,e^{0.4378321\, x}=6.611403\,*\,1.549^{\,x}\)

and this expression is very close to the last option shown in your list of possible answers

Answer: r=4

Step-by-step explanation:

12/3 = 4

48/3 = 4

192/48 = 4

Answer:

19.17

Step-by-step explanation:

18/100=0.18

multiply by 6.5

1.17

then add 18+1.17

price is 19.17

Answer: x = -1 y = -2

Step-by-step explanation:

Was that supposed to be an equal in the second equation??

Since you mean't the equation

\(y-4=x\\y+2x=-2\)

we will use that one instead

First off we can substitute \(y\) for \(x+4\)

Now we have an equation

\(x+4+2x=-2\) then simplify

\(3x+4=-2\)

do simple algebra and we get that

\(x=-2\)

Since we said that \(y=x+4\) we can plug in our value of \(x\)

\(y=-2+4\\y=2\)

\(\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}\)

\(\boxed{x=-2}\)

\(\boxed{y=2}\)

the dimension of edge A is

the dimension of edge B is

the volume of the composed figure is

Volume is 2640 cubic centimeters

Answer:

y=-3

Hope this helps!

Answer:

100 m/s

Step-by-step explanation:

divide by 3.6 to get km/h to m/s, multiply by 3.6 to get m/s to km/h!

The crank angle value when the piston is at Top Dead Center (TDC) is 0 radians or 0 degrees. The maximum ratio of the crank radius to the connected length is 0.3.

The crank angle value refers to the angle between the crankshaft and a reference point when measuring the position of the piston. When the piston is at Top Dead Center (TDC), it is at its highest point in the cylinder. The crankshaft is positioned such that the connecting rod is aligned with the crank radius and the piston is at the topmost position. This corresponds to a crank angle value of 0 radians or 0 degrees.

Regarding the maximum ratio of the crank radius to the connected length, this value is given as 0.3. The crank radius is the distance from the center of the crankshaft to the center of the crank pin, and the connected length is the distance from the center of the crank pin to the center of the piston pin. The maximum ratio of 0.3 indicates that the crank radius is 0.3 times the connected length.

It's important to note that these values are specific to the context of the problem statement provided. Different engines or mechanisms may have different values for the crank angle at TDC and the maximum ratio of crank radius to connected length.

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Answer:

(6,7)

Step-by-step explanation:

Let B(x,y).

By the midpoint formula,

So, the coordinates of B are (6,7).

The median lies in the group "30 < x < 40".

To determine the median, we followed these steps:

Therefore, the median lies in the group "30 < x < 40".

The median is a statistical measure that represents the middle value in a set of numerical data. It is used to describe the central tendency of the data and to determine where the majority of the values lie. To find the median, the data must be arranged in ascending or descending order, and the middle value is taken.

If the number of observations is odd, the median is the middle value. If the number of observations is even, the median is the average of the two middle values. The median is useful for finding the central value of data that may have extreme outliers or skewness, as it is not affected by the presence of such values.

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Answer:

(1,-2) They are only asking for one inequality which is like (-3,0) which is the other point.

Step-by-step explanation:

Answer:

4x-3y is equivilent

Step-by-step explanation:

Answer:

3 or 6/2

Step-by-step explanation:

4--2 (you add there is a subtraction of a negative) over or divided by 3-1

Answer:

\(slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{4 - - 2}{3 - 1} \\ = \frac{6}{2} = 3 \\ thank \: you\)

The fraction of ice cream cones sold that are either chocolate or vanilla is 3/5.

A fraction is a non-integer that is made up of a numerator and a denominator. An example of a fraction is 3/5. 3 is the numerator and 5 is the denominator.

In order to determine the fraction of ice cream cones sold that are either chocolate or vanilla, add the fraction of chocolate cones sold and vanilla cones sold together. Addition is the process of determining the sum of two or more numbers.

Fraction of ice cream cones sold that are either chocolate or vanilla = 3/10 + 3/10 = 6/10 = 3/5.

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