Using the slope, state whether the lines are parallel, perpendicular, or neither.
Y= 2x-3
y=-1/2x+2

Answer:

m=-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

no. the triangle would be acute

Step-by-step explanation:

\(a^2 +b^2=c^2\) ← formula for right triangle

↓

\(28^2+53^2=45^2\)?

↓

\(28^2=784\\53^2=2809\\45^2=2025\)

↓

\(784+2809=3,593\)

↓

\(3,593 > 2025\\a^2 +b^2 > c^2\)

which means the triangle is acute, not right.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

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The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.

a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.

b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.

c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.

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The answer is C. 1/10 of a centimeter.

Answer:

8x+7

Step-by-step explanation:

Use the given functions to set up and simplify  

(f+g)(x)

Answer:

8x + 7

Step-by-step explanation:

(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7

Step-by-step explanation:

8÷2(2+2) = 8.

2(2 + 2)

= 8.

4 + 4

= 8.

8

= 1

Answer:

using BODMAS

The answer is 1

Step-by-step explanation:

Bracket Order Division Multiplication Addition and Subtraction

Answer:

$1425

Step-by-step explanation:

To find how much money you would make, we would first have to multiply the number of weeks worked by how many hours you work per week.

4 · 25 = 100

What this tells us is that in 4 weeks, you worked 100 hours in total. Now we can multiply total hours worked by how much you are paid per hour to get our answer.

14.25 · 100 = 1425

The amounts in this problem are given as follows:

1.

2. Percent error of 25%.

3. Increase of 176.25%.

4. Increase of 140%.

5. Decrease of 30%. (percent of change = -30%).

Out of 16 ounces, the percent error is of 2.5%, hence the measure is of:

0.025 x 16 = 0.4 ounces.

Then the minimum acceptable rate is:

16 - 0.4 = 15.6 ounces.

The maximum acceptable rate is:

16 + 0.4 = 16.4 ounces.

The percent error is the difference between the actual and the estimate measure, divided by the actual measure, hence:

(20 - 16)/16 = 4/16 = 0.25 = 25%.

The percent of increase is given by the increase(final - initial) divided by the initial amount, hence:

(44.2 - 16)/16 = 1.7625 = 176.25% percent increase.

For the gallons, the increase is calculated as follows:

(24 - 10)/10 = 1.4 = 140% increase.

The percent of decrease is given by the decrease(final - initial) divided by the initial amount, hence, for the pounds:

(50 - 35)/50 = 0.3 = 30%.

Since it is a decrease, the percent of change is negative, hence -30%.

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Regression Equation y is 379.9996 ⋅1.04^x . Regression analysis is a set of statistical processes used in statistical modelling to estimate the relationships between a dependent variable and one or more independent variables.

Regression analysis is a set of statistical processes used in statistical modelling to estimate the relationships between a dependent variable and one or more independent variables.

Linear regression is the most common type of regression analysis, in which the line that best fits the data according to a specific mathematical criterion is found. The ordinary least squares method, for example, computes the unique line that minimises the sum of squared differences between the true data and that line.

This allows the researcher to estimate the conditional expectation of the dependent variable when the independent variables take on a given set of values for specific mathematical reasons. Less common types of regression employ slightly different procedures to estimate alternative location parameters or the conditional expectation across a larger set of non-linear models.

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The variables compute in the equation will be:

a. x = -20

b. a = 12

1. -3(9 + x) = 33

-27 - 3x = 33

-3x = 33 + 27

-3x = 60

x = 60/-3

x = -20

2. 5(a - 7) = 25

5a - 35 = 25

5a = 25 + 35

5a = 60

a = 60/5

a = 12

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Answer:

0

Step-by-step explanation:

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope ----> m= y2-y1/x2-x1

Answer:

50°

Step-by-step explanation:

(7x+1)+(18x+4)=180

x=7

The formula 2x/(x-7) - (x+7)/x therefore equals (x² + 49) / (x × (x-7)).

Mathematical expressions consist of at least two integers or factors, a minimum of one math procedure, and a sentence. It's possible to multiply, divide, add, or remove with this mathematical procedure.

To simplify the expression 2x/(x-7) - (x+7)/x, we need to find a common denominator.

First, we can rewrite the second term as (x+7)/(x × 1), so the expression becomes:

2x/(x-7) - (x+7)/(x × 1)

To find a common denominator, we need to multiply the first term by x/x and the second term by (x-7)/(x-7):

2x × x / (x × (x-7)) - (x+7) × (x-7) / (x × (x-7))

Simplifying the expression further, we get:

(2x² - (x² - 49)) / (x × (x-7))

Simplifying the numerator, we get:

(2x² - x² + 49) / (x × (x-7))

And finally, we can simplify the expression to:

(x² + 49) / (x × (x-7))

Therefore, the expression 2x/(x-7) - (x+7)/x is equivalent to (x² + 49) / (x × (x-7)).

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Answer:

\(\frac{x^{2}+49 }{x(x-7)}\)

Step-by-step explanation:

Answer: c = 13.96 or \(\sqrt{194.6}\)

Step-by-step explanation:

\(a^{2}+b^{2}=c^{2}\)

a and b = side lengths

c = hypotenuse

\(8.6^{2}+11^{2}=c^{2}\)

\(73.96 + 121=c^{2}\)

\(194.96=c^{2}\)

\(\sqrt{194.6} =c\)

\(c = 13.9628 = 13.96\)

Answer:

YZ = 13.96

m∡Z = 52°

m∡Y = 38°

Step-by-step explanation:

found YZ first by using Pythagorean Theorem:

11² + 8.6² = YZ²

YZ² = 194.56

YZ = √194.56

YZ = 13.96

Used Law of Sines to find m∡Z:

sin 90°/13.96 = sin Z/11

sin Z = 11/13.96

arcsin Z = 52°

180 - (90 + 52) = m∡Y

m∡Y = 38°

Answer:

The statement "The value of f(–10) = 82" is not true. To find the value of f(–10), we substitute –10 for x in the equation:

Step-by-step explanation:

The statement "The value of f(–10) = 82" is not true. To find the value of f(–10), we substitute –10 for x in the equation:

f(–10) = (–10)^2 – 5(–10) + 12 = 100 – (–50) + 12 = 162

The statement "The graph of the function is a parabola" is true. Because the equation of the function is of the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a is not equal to 0, the graph of the function is a parabola.

The statement "The graph of the function opens down." is true. The coefficient of x^2 is a positive value, which means the parabola opens down.

So, the true statements are

The graph of the function is a parabola.

The graph of the function opens down.

The graph does not contain the point (20, –8)

Answer:

V=157

Step-by-step explanation:

Formula-

V=π\(r^{2}\)\(\frac{h}{3}\)

1.) Place height and radius in the formula.

V=π\(5^{2}\)\(\frac{6}{3}\)

2.) Now all you have to do is simplify.

V=3.14 x 25 x 2

3.) Now solve.

V=157.07963

Answer:

I say 157 cubic centimeters

Step-by-step explanation:

The equation that describes a circle with center at (2,3) and passing through the point (-3,-4) is:

(D) (x-2)^2 + (y-3)^2 = 74.

The general equation of a circle is (x-a)^2 + (y-b)^2 = r^2, where (a,b) represents the center of the circle and r represents the radius.

Given that the center is at (2,3), we substitute a = 2 and b = 3 into the general equation:

(x-2)^2 + (y-3)^2 = r^2.

To find the radius, we use the fact that the circle passes through the point (-3,-4).

Substituting x = -3 and y = -4 into the equation, we have:

(-3-2)^2 + (-4-3)^2 = r^2.

Simplifying the equation:

(-5)^2 + (-7)^2 = r^2, 25 + 49 = r^2, 74 = r^2.

Therefore, the equation that describes the circle is (x-2)^2 + (y-3)^2 = 74, which corresponds to option (D).

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Answer:

1/8 will be 0.125 as a decimal so that is greater than 0.12! so it will be this \(1.8 \geq 0.12\)

Answer:

Step-by-step explanation:

4. 1/8   > 0.12

5. -6/7  < -5/6

6. 3/10 + (-7/10) = -4/10= -2/5

7. -4/9 - 1/9 = -5/9

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer:

-In my opinion- I tried hope you like this!

Step-by-step explanation:

I would feel Average because, I already lived in the country. I could go visit the city when I grow up anytime. I can also find new things I never knew about in the farm that wasn't in the country.  in addition, I would also go discover how farmers do it like for example how they take care of their crops and their animals like all the basics. Living in the city isn't a need it's a choice if my parents would decide to live in the Farm I would be happy with their choice. My feelings towards this choice would be Happy and curious because you never know what would happen in the farm you might like it , if I don't then I would talk with my parents about what I dislike, I'm pretty sure they would understand.

Answer:

The answer is

Step-by-step explanation:

To find the GCF of

\( {2}^{4} \times {3}^{2} \: \: \: \: and \: \: {2}^{5} \times {3}^{6} \)

Find the prime numbers with the lowest exponents and multiply them

From the question the prime numbers with the lowest exponents are

2⁴ and 3²

So the GCF in the question is

2⁴ × 3²

Hope this helps you

Kirk must earn an annual rate of return of approximately 6.07% on his investment to accumulate enough money to pay for the ring.

To calculate the annual rate of return Kirk must earn on his investment, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = final amount (the cost of the ring, which is $13,000 in 9 years)
P = initial amount (the amount Kirk currently has, which is $4,532)
r = annual interest rate (what we need to solve for)
n = number of times interest is compounded per year (assuming it's compounded annually, n = 1)
t = number of years (9 years)

Plugging in the given values:
$13,000 = $4,532(1 + r/1)^(1*9)
Next, simplify the equation:
(1 + r)^(9) = 13000/4532
Take the ninth root of both sides:
1 + r = (13000/4532)^(1/9)
Solve for r:
r = (13000/4532)^(1/9) - 1
Now, plug the value into a calculator to find r:
r = 0.0607

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To find the profit function for the company, we need to determine the equation of the line that represents the relationship between the number of units sold, x, and the profit, P.

We are given two points on the line: (150, $900) and (200, $3700).

Let's use the slope-intercept form of a linear equation, y = mx + b, where y represents the profit (P), x represents the number of units sold, m represents the slope of the line, and b represents the y-intercept.

First, let's find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

m = ($3700 - $900) / (200 - 150)

m = $2800 / 50

m = $56

Now, we can use the slope-intercept form and one of the points to find the y-intercept (b).

Using the point (150, $900):

$900 = $56 * 150 + b

Simplifying:

$900 = $8400 + b

b = $900 - $8400

b = -$7500

Therefore, the profit function for this company can be written as:

P(x) = $56x - $7500

This equation represents the linear relationship between the number of units sold (x) and the profit (P) for the company.

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This is the Communative property of multiplication

Answer:

associative property, 5 can be an associate to both 12 and 25

The value of x and y in the right triangle are as follows:

x = 6 units

y = 6√3 units

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, let's find the value of x and y in the right triangle. Using trigonometric ratios,

sin 60 = y / 12

√3 / 2 = y / 12

cross multiply

2y =12√3

y = 12√3 / 2

y = 6√3

Therefore, let's find x as follows:

cos 60 = adjacent / hypotenuse

1 / 2 = x / 12

cross multiply

12 = 2x

divide both sides by 2

x = 12 / 2

x = 6

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The linear equation that is represented by the given table is:

y = -3*x + 4

The relation on the table seems to be a linear equation.

Remember that a linear equation is written in general form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the table we can see the point (0, 4), which means that the y-intercept (the value of y when x = 0) is b= 4, then we can replace that in the general linear equation above to get:

y = a*x + 4

To find the value of a, we can use one of the other pairs on the table, for example if we use (1, 1), then we will get.

1 = a*1 +  4

1 = a + 4

1 - 4 = a

-3 = a

Then we conclude that the linear equation represented in the table is:

y = -3x + 4

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