PROBLEM 1
PART (A):
Solve the system below.
x + y + z = 0
x + 2y - 3z = 53
x + 4y + 2z = -1
Show your complete solution and upload here as an attachment. You may also solve the problem in the space provided below.
PART (B):
Solve the system below. If there is no solution or if there are infinitely many solutions and a system's equations are dependent, so state.
x - y + 3z = 83
x + y - 2z = -22
x + 4y + z = 0
Show your complete solution and upload here as an attachment. You may also solve the problem in the space provided below.

Answer:

\( y = -65x + 420 \)

Step-by-step explanation:

Slope-intercept form equation is given as \( y = mx + b \)

Where,

y = distance remaining

x = hours driven

m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.

b = y-intercept, which is the initial value or the distance between the cities = 420

Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:

\( y = -65x + 420 \)

The equation in slope intercept form is \(y =-65x + 420\)

A linear function is a function whose value changes at a constant rate.

The given parameters are:

A linear function is represented as:

\(y = mx + c\)

Where

So, the function becomes

\(y =-65x + 420\)

Hence, the equation in slope intercept form is \(y =-65x + 420\)

Read more about linear functions at:

https://brainly.com/question/14323743

A p-value is a probability.

A p-value is the probability of obtaining a test statistic as extreme or more extreme.

The observed value, assuming the null hypothesis is true.

It ranges in value from 0 to 1 and represents the strength of evidence against the null hypothesis.

A p-value cannot be negative, as it is a probability and probabilities are always between 0 and 1.

A p-value also cannot be larger than 1, as it represents a probability.

A probability cannot exceed 1.

Finally, a p-value cannot be smaller than 0, as it represents a probability.

A probability cannot be negative.

the correct option is b. is a probability.

For similar questions on P-Value

https://brainly.com/question/13786078

#SPJ11

Answer:

8 deliveres

Step-by-step explanation:

If he made 15 dollars total in tips out of all the deliveries, we first subtract 15 from 95.

That now gives us 80.

He makes 10 dollars for every delivery, so divide 80 by 10.

That then gives you the answer of 8.

Answer:

d

Step-by-step explanation:

it's d because chicken has 7 letters and than +d which is 8 (the test might be hard )

Answer:

The coefficient of the second term in this expression is 6.

Step-by-step explanation:

A coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. There are three terms in this expression (9, 6w, and 5y), and the coefficient of the second term is 6.

Answer:

k  =  23/20

Please give brainliest!

Answer:

Step-by-step explanation:

Add 3/4 to both sides

k=2/5+3/4

Simplify

then your answer is  23/20

​

Step-by-step explanation:

X<-3 Inequality form , [XIX <-3]

Answer:

Answer A would be correct

Step-by-step explanation:

:)

Answer:

MP > OP

Step-by-step explanation:

Answer: They each got 3/4 candy bars. (0.75 candy bars)

Answer:

a = -2.6  b = -20.8

Step-by-step explanation:

    You first want to find the slope of Line A, and you are given the points (-3,2) and (-23,54). Since Line A and Line B are parallel, their slopes are the same. Using the equation m = (y₂-y₁)/(x₂-x₁) you will plug in those points, making a new equation m = (54-2)/(-23-(-3)). This then simplifies to 52/-20, which becomes -2.6.

    Second of all, you want to find the y-intercept. To do that, you will use the equation y = mx+b. You can plug in -2.6 for m, and since the question tells you that Line B passes through the point (-8,0), you can plug in those numbers for x and y. This would make the equation 0 = -2.6(-8) + b, which becomes 0 = 20.8 + b. Since you want to isolate b, you bring 20.8 to the left side by subtracting, leaving you with the answer -20.8.

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

Change the sample size from n  will increase the power of a statistical test. The correct answer is C.

Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.

This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.

The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.

Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.

Learn more about statistical power at https://brainly.com/question/30457957

#SPJ11

The magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

The value of the net electrostatic force on the 5.0-nC

charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0),

charge Q2 = −1.0 nC is at (0, 0.10 m), and

charge Q3 = 5.0 nC is at (0, 0) can be calculated as follows:

Given data,Charge Q1 = 6.0 nC is at (0.30 m, 0),

Charge Q2 = -1.0 nC is at (0, 0.10 m),

Charge Q3 = 5.0 nC is at (0, 0)

The formula to find out the force on the third charge Q3 is:

                      F = k * |Q1 * Q3| / r1^2 + k * |Q2 * Q3| / r2^2

Here, k = 8.99 × 10^9 N·m^2/C^2, Q1 = 6.0 nC, Q2 = -1.0 nC, Q3 = 5.0 nC

For the third charge Q3, the distance from Q1 is:

                                r1 = √(0.3^2 + 0^2) = 0.3 m

And the distance from Q2 is: r2 = √(0^2 + 0.1^2) = 0.1 m

Substituting all the given values in the formula:

                               F = 8.99 × 10^9 * [ (6.0 × 10^-9 * 5.0 × 10^-9) / 0.3^2 ] + 8.99 × 10^9 * [ (-1.0 × 10^-9 * 5.0 × 10^-9) / 0.1^2 ]F = 6.21 N

Therefore, the magnitude of the net electrostatic force on the 5.0−nC charge due to the other charges when the charge Q1 = 6.0 nC is at (0.30 m, 0), charge Q2 = −1.0 nC is at (0, 0.10 m), and charge Q3 = 5.0 nC is at (0, 0) is 6.21 N.

Learn more about net electrostatic force

brainly.com/question/30076646

#SPJ11

Answer:

dont click on the link its no the answer

Step-by-step explanation:

From the given question we find that the direct quote from the U.S. perspective would be €1.00 = $1.25.

The given exchange rate states that €0.80 is equivalent to $1.00. To determine the direct quote from the U.S. perspective, we need to express the value of the euro in terms of the U.S. dollar.

Since €1.00 would be more valuable than €0.80, it would also be more valuable than $1.00. Therefore, the direct quote would have a higher value for the euro compared to the U.S. dollar.

To calculate the value, we can use the ratio of €0.80 = $1.00. Dividing both sides of the equation by 0.80, we get €1.00 = $1.25. This means that 1 euro is equivalent to 1.25 U.S. dollars. Hence, the correct direct quote from the U.S. perspective is €1.00 = $1.25.

Learn more about direct quote here:

https://brainly.com/question/20813264

#SPJ11

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

ac is Definition: Alternating Current (AC) is a type of electrical current, in which the direction of the flow of electrons switches back and forth at regular intervals or cycles. Current flowing in power lines and normal household electricity that comes from a wall outlet is alternating current.

The composition of transformations that map ABCD to EHGF is: reflect over the x-axis, then translate (x + 3. y + 1).

In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

Since triangle ABCD was reflected over the x-axis, the coordinate A of triangle ABCD can be calculated as follows;

(x, y)            →      (x, -y)

A (-5, 2)      →      (-5, -(2)) = (-5, -2)

For the translation, we have:

(x, y)            →       (x + a, y + b)

A (-5, -2)           →      E (-2, 1)

-5 + a = -2

a = -2 + 5

a = 3

-2 + b = -1

b = -1 + 2

b = 1

Read more on reflection here: https://brainly.com/question/21671606

#SPJ1

Answer:

120 degrees

Step-by-step explanation:

It says ABC is similar to MNO, though the shape is smaller, the angle is the same. So the measure of N is 120 degrees

Hope this helps :)

Given:

Find: f(-2)

Explanation:

put x=-2 in the given equation.

Final answer: the required answer is

Answer: y = -5

Step-by-step explanation:

We move the constants to one side to get y^3 = -125.

Then, we cube root both sides to get y = -5.

The expected number of times that both coins have come up tails will be 0.5 or 50%.

The probability of both coins coming up tails on a single flip is 1/4, since each coin has a 1/2 probability of coming up tails and the events are independent. If we flip the coins n times, the number of times both coins come up tails is a binomial random variable with parameters n and 1/4.

The expected value of a binomial random variable is given by np, where p is the probability of success on a single trial. In this case, we have p = 1/4, so the expected number of times that both coins come up tails in n flips is n(1/4). Therefore, if we flip the coins twice simultaneously, the expected number of times that both coins come up tails is (2)*(1/4) = 0.5.

To learn more about coins, click here:

https://brainly.com/question/29869268

#SPJ11

Answer:

The independent variable.

Answer:

d. V = 668.2 ft³

Step-by-step explanation:

\(V = \frac{1}{2}bhl\\V = \frac{1}{2}(8.6)(8.4)(18.5)\\V = 668.2ft^{3}\)

Answer:

\(\boxed {\boxed {\sf D. \ V \approx 668.2 \ ft^3}}\)

Step-by-step explanation:

The volume of a triangular prism is found using this formula:

\(V=\frac{1}{2} bhl\)

For this prism, the base is 8.6 feet, the height is 8.4 feet, and the length is 18.5 feet.

\(b= 8.6 \ ft \\h= 8.4 \ ft \\l= 18.5 \ ft\)

Substitute the values into the formula.

\(V= \frac{1}{2} (8.6 \ ft) (8.4 \ ft) ( 18.5 \ ft)\)

Multiply the first two numbers in parentheses.

\(V= \frac{1}{2} (72.24 \ ft^2) ( 18.5 \ ft)\)

Multiply again.

\(V= \frac{ 1}{2} (1336.44 \ ft^3)\)

Multiply by 1/2 or divide by 2.

\(V= 668.22 \ ft^3\)

Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 2 in the tenth place.

\(V \approx 668.2 \ ft^3\)

The volume is about 668.2 cubic feet.

Answer:The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

The statement first is correct because 2GB represents the initial data and in the second term 3.5GB represents the rate of change of data per year.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Initial data when Jackie bought = 2 gigabytes

Rate of change of data per year:

\(\rm\frac{dB}{dt} = 3.5\)

We can frame a linear function such that:

\(\rm y = 2 + n(\frac{dB}{dt})\)

\(\rm y = 2 + 3.5n\)

Where y represents the total data stored at n years.

And n represents the \(\rm n^{th}\) year

When n = 0 then y = 2     (initial data when Jakie bought it)

When n = 1 then y = 5.5   (after one year the amount of data Jakie's                                                       computer has)                          

Term 2 represents the initial data and term 3.5 represents the rate of change of data per year.

Therefore, the initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

Learn more about the function here:

brainly.com/question/5245372

Answer:

true

Step-by-step explanation:

I 100% looked it up