the relationship between angles a and b?​

The solution to the system of equations is x = 3/2 and y = 11/2.

What is the linear equation?

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of a linear equation is y=mx + b

We are given two equations:

y = 3x + 4

y = 7x – 2

We can set the two equations equal to each other and solve for x:

3x + 4 = 7x - 2

Subtracting 3x from both sides:

4 = 4x - 2

Adding 2 to both sides:

6 = 4x

Dividing both sides by 4:

x = 3/2

Now we can substitute this value of x back into either of the original equations to find the corresponding value of y. Using the first equation:

y = 3(3/2) + 4 = 9/2 + 4 = 11/2

Therefore, the solution to the system of equations is x = 3/2 and y = 11/2.

To learn more about the linear equation visit,

brainly.com/question/2030026

#SPJ1

Answer:

-21°F

Step-by-step explanation:

-14 - 7 = -21

The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

To learn more about code snippet: https://brainly.com/question/29845639

#SPJ4

Answer: 4.The equation has no solutions.

The equation 2+3x=4x+1-X has no solutions.

To solve for x, we can combine like terms and then factor the equation.

2+3x=4x+1-X

-X+3x=1-2

2x=-1

x=-1/2

However, this value of x does not satisfy the original equation. When we substitute x=-1/2 into the original equation, we get

2+3(-1/2)=4(-1/2)+1-(-1/2)

-1=-3

This is a contradiction, so the equation has no solutions.

Therefore, the correct answer is 4. The equation has no solutions.

Learn more about solving equations and solution sets here:

https://brainly.com/question/12108688

#SPJ11

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

Equations of a line written in Slope-Intercept Form are usually written as \(y = mx +b\) where \(b\) is the constant and is also the \(y\)-intercept. \(mx\) is the \(x\) term where \(m\) is the slope. Also, the \(y\) term is usually found at left side of the equation and it has to have \(1\) as its coefficient.

From the given equation we can see the constant \(-8\) is on the left side but only the \(y\) term gets to be on the left side so let's add \(8\) to both sides of the equation to cancel out \(-8\).

\(4y -8 = 2x \\ 4y -8 +8 = 2x +8 \\ 4y = 2x +8\)

We can also see that the \(y\) term has a coefficient of \(4\). So let's divide both sides of the equation by \(4\) to make the coefficient of the \(y\) term to \(1\)

\(4y = 2x +8 \\ \frac{4y}{4} = \frac{2x +8}{4} \\ y = \frac{1}{2}x +2\)

Answer: the maximum is (-2,5 )and the equation for the axis of symmetry is  x = -2

Explanation if you want:

for the min and max:  when a quadratic has a maximum point, that is the largest point that it will ever be at.  When it has a minimum, that is the smallest.

for the axis of symmetry: basically, this is the line that splits the graph into two equal parts.

there u go

Answer:

15.625 cubed for s cubed; 62.5 feet for parking space I think don't hate me if I'm wrong.

Step-by-step explanation:

for s cubed;

(2.5×2.5)×2.5=15.625

for parking space:

(15.625×2)+(15.625*2)=62.5

Answer:

1261.1 revolutions

Step-by-step explanation:

Given

\(d = 16in\) --- the diameter

\(Distance = 5280ft\)

Required

The number of revolution completer

First, calculate the circumference (c) of the tire

\(c = \pi d\)

\(c = 3.14 * 16\)

\(c = 50.24\)

Let the number of revolutions be n.

The product of n and the circumference equals to the total distance travelled.

So:

\(c * n = 5280 ft\)

\(50.24in* n = 5280 ft\)

Make n the subject

\(n = \frac{5280 ft}{50.24in}\)

Convert feet to inch

\(n = \frac{5280 *12in}{50.24in}\)

\(n = \frac{63360in}{50.24in}\)

\(n = \frac{63360}{50.24}\)

Solve for n

\(n = 1261.14649682\)

Approximate

\(n = 1261.1\)

The constant of proportionality between the number of students and adults in this group is 12.

Since the number of students (y) is proportional to the number of adults (x), we can write: y = kx

where k is the constant of proportionality that relates the two variables. To find k, we can use the given information that in one group there are 96 students and 8 adults: 96 = k * 8

To solve for k, we divide both sides by 8:

k = 96/8

k = 12

Therefore, the constant of proportionality between the number of students and adults in this group is 12. This means that for every adult on the field trip, there are 12 students.

To know more about variable click here

brainly.com/question/2466865

#SPJ11

The statement that best describes the relationship between lines s and t is: Lines s and t are parallel.

Parallel lines are as those lines that does not intersect one another despite being equal to each other.

Lines s and t are said to be parallel lines because they are cut by transversal which in turn means that transversal intersect lines s and t to make it parallel lines.

Therefore the statement that best  describes the relationship is :Lines s and t are parallel.

Learn more about parallel lines here:brainly.com/question/24607467

#SPJ1

The value of h'(2) is 25

The chain rule is a fundamental rule in calculus that provides a method to differentiate composite functions.

A composite function is a function that is formed by taking the output of one function and using it as the input of another function.

For instance, if we have two functions f(x) and g(x), then the composite function h(x) can be defined as h(x) = f(g(x)), where g(x) is the input to f(x).

here we have

h(x) = √6 + 5f(x)

Derivative of h(x) with respect to x

h'(x) = d/dx (√6 + 5f(x))

h'(x) = d/dx (√6) + d/dx (5f(x))

h'(x) = 0 + 5f'(x)

h'(x) = 5f'(x)

Now substitute x = 2 and f'(2) = 5, to find h'(2)

h'(2) = 5f'(2)

h'(2) = 5(5)

h'(2) = 25

Therefore,

The value of h'(2) is 25

Learn more about functions at

https://brainly.com/question/28777005

#SPJ1

Complete Question:

If h(x) = √6 + 5f(x), where f(2)= 6 and f'(2) = 5, find h'(2).

The standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.

To calculate the required standard deviation to achieve a process capability index of 2.0, we need to use the following formula:

Process Capability Index (Cpk) = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)

In this case, the upper specification limit is 1.788 feet, the lower specification limit is 1.752 feet, and the process capability index (Cpk) is 2.0.

Let's plug in the values into the formula and solve for the standard deviation:

2.0 = (1.788 - 1.752) / (6 * Standard Deviation)

Rearranging the equation:

Standard Deviation = (1.788 - 1.752) / (6 * 2.0)

Standard Deviation = 0.036 / 12

Standard Deviation = 0.003

Therefore, the standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.

Learn more about statistics here:

https://brainly.com/question/30915447

#SPJ11

The given differential equation is exact. The function F(x, y) = 3e^x sin(y) - 2xy is a potential function.

To check if the given differential equation is exact, we need to verify if the mixed partial derivatives of the coefficients are equal. Let's compute the mixed partial derivatives:

∂/∂y (3e^x sin(y) - 2y) = 3e^x cos(y)

∂/∂x (-2x + 3e^x cos(y)) = -2 + 3e^x cos(y)

Since the mixed partial derivatives ∂/∂y (3e^x sin(y) - 2y) and ∂/∂x (-2x + 3e^x cos(y)) are equal, the differential equation is exact.

To find a potential function F(x, y) whose level curves are solutions to the differential equation, we need to integrate the coefficient of dx with respect to x and the coefficient of dy with respect to y. Integrating 3e^x sin(y) with respect to x gives 3e^x sin(y) - 2xy, which matches the given function. Hence, F(x, y) = 3e^x sin(y) - 2xy is the potential function for the given differential equation. The level curves of F(x, y) represent the solutions to the differential equation.

To learn more about derivative click here

brainly.com/question/25324584

#SPJ11

24 is the median number because it is found to be at the Middle of all digits

Answer:

I think in this case, the triangles are similar based on the Side-Angle-Side rule.

Step-by-step explanation:

Sides:

9:3 = 12:4

Angle:

C : C'

Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

Read more about learning maths here:

https://brainly.com/question/30346704

#SPJ1

Answer:

Step-by-step explanation:

obi conditional its correct im a nerd and I study

Answer:

It should be just a 1 and 6 chance (1/3)

Step-by-step explanation:

I choose this because they are 6 numbers on a die. 3 of which are even 3 of which are not

Answer:

C + 15%

Step-by-step explanation:

C = total cost of the repair

She would have to add 15% to the total cost of the repair.

Answer:

≈11.2

Step-by-step explanation:

Have a good day :)

It is important to know whether a data file is approximately normal before proceeding with statistical analysis because the normal distribution is fundamental in the statistics field.

The normal distribution is a continuous probability distribution that has a bell-shaped curve with a symmetrical shape. It is a well-known probability distribution that is also referred to as the Gaussian distribution or the bell curve.

The following are the reasons why it is important to determine whether the data is approximately normal before performing statistical analysis:

Statistical methods and tests, such as the t-test and ANOVA, rely on the assumption that the data follow a normal distribution.

Any deviation from normality can have a detrimental impact on the test's validity and reliability.

Data that do not conform to the normal distribution may have an impact on the power of statistical methods or tests.

The power of a test refers to the likelihood that a test will identify an effect if one exists. If data deviate from normality, the test's power may be reduced, resulting in a failure to detect a significant effect, even if one exists.

Normality assumptions are made by many statistical techniques. This is why it is essential to check the data's normality before proceeding with further statistical analysis.

for such more question on statistical analysis

https://brainly.com/question/14724376

#SPJ11

Answer:

(0, -2)

i am pretty sure this is the answer

The expected count in the joint category of C and X is 3.4.

To find the expected count in the joint category of C and X, we need to calculate the row and column totals for categories C and X.

The row total for category C is the sum of the counts in the third row: 18 + 1 + 5 = 24.

The column total for category X is the sum of the counts in the second column: 10 + 6 + 1 = 17.

To find the expected count in the joint category of C and X, we use the formula:

Expected count = (row total * column total) / grand total

where the grand total is the total count in the table, which is 11 + 10 + 3 + 15 + 6 + 2 + 18 + 1 + 5 = 71.

Plugging in the values, we get:

Expected count in category C and X = (24 * 10) / 71 = 3.4 (rounded to 1 decimal place)

Therefore, the expected count in the joint category of C and X is 3.4.

To learn more about count visit:

https://brainly.com/question/30971100

#SPJ11

Answer:

83 degrees

Step-by-step explanation:

For any given triangle, the angles inside have to equal 180 degrees.

knowing this, we can create an equation. We have 2 angles, and need to figure out the third.

180 = x + 44 + 53

180 = x + 97

x = 83

so x is 83 degrees.

if you liked this answer, please mark brainliest!

The required answer is the  equation .

A mathematical sentence that contains an equal sign is called an equation. This is because an equation is a statement that two expressions are equal.

a. Equation: An equation is a mathematical sentence that contains an equal sign. It shows that two expressions are equal. For example, "3x + 5 = 17" is an equation because it states that the expression "3x + 5" is equal to 17.

b. Inequality: An inequality is a mathematical sentence that uses inequality symbols like greater than (>), less than (<), greater than or equal to (≥), or less than or equal to (≤). Inequalities do not necessarily contain an equal sign. For example, "2x + 3 > 10" is an inequality because it shows that the expression "2x + 3" is greater than 10.

c. Expression: An expression is a mathematical phrase that can include numbers, variables, and operations. Expressions can be simplified but cannot be solved because they don't contain an equal sign. For example, "2x + 3" is an expression because it consists of numbers, a variable (x), and an operation (+).

d. Variable: A variable is a symbol, usually a letter, that represents a quantity that can vary or change. Variables are used in mathematical equations and expressions to represent unknown values. For example, in the equation "3x + 5 = 17," the variable is "x" because its value is not specified.

In summary, a mathematical sentence that contains an equal sign is an equation because it states that two expressions are equal.

To know about equation . To click the link.

https://brainly.com/question/33622350.

#SPJ11

a) To find out how much L is needed to produce 400 toys per hour when K is equal to 20, we can use the production function formula provided, which is Q = 4K + 5L.

To solve for L, we can rearrange the formula as follows: Q - 4K = 5L 400 - 4(20) = 5L 320 = 5L L = 64

Therefore, to produce 400 toys per hour with K = 20, the manufacturer would need 64 units of labor input per hour.

b) Similarly, to find out how much K is needed to produce 500 toys per hour when L is equal to 40, we can use the production function formula: Q = 4K + 5L

Substituting the given values, we get: 500 = 4K + 5(40) 500 = 4K + 200 4K = 300 K = 75

Therefore, to produce 500 toys per hour with L = 40, the manufacturer would need 75 units of capital input per hour.

In conclusion, the production function formula provides a useful tool for toy manufacturers to produce a desired level of output. By manipulating the formula, the manufacturer can also calculate the maximum output possible given a certain combination of inputs.

For similar question on production function formula  

https://brainly.com/question/24136783

#SPJ11

The number of child ticket were sold on Wednesday is 236

The cost of child admission ticket = $6.10

The cost of adult admission ticket = $9.20

Consider the number of child ticket as x and the number of adult ticket as y

Twice times as many adult tickets as child tickets were sold

y = 2x

Then the equation will be

x + y = 707.70

Substitute the value of y in the equation

x + 2x = 707.70

Add the like terms

3x = 707.70

x = 707.70/3

Divide the terms

x = 235.9

x ≈ 236

Therefore, 236 child ticket were sold on that day

I have answered the question in general, as the given question is incomplete

The complete question is:

At the movie theatre, child admission is $6.10 and adult admission is $9.20 . On Wednesday, twice times as many adult tickets as child tickets were sold, for a total sales of $707.70 . How many child tickets were sold that day?

Learn more about equation here

brainly.com/question/14603452

#SPJ4

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

Learn more about supplementary angles here:

brainly.com/question/3027144

#SPJ1

The complete question is as follows:

Find the value of x for the below figure.