What is equidistant from both endpoints?

Answer:

x = 6, y = 0, m = -1
y = mx + b
0 = -1(6) + b
0 = -6 + b
6 = b
y = -1x + (6)

Step-by-step explanation:

^^^
See answer, pretty simple.

So

equation

So equation

-3x + y = 2 Equation (1)

7x -8y = 1 Equation (2)

Let us solve the system of equations with the elimination method.

-24x + 8y = 16 (Multiplying the equation 1 by 8)

+ 7x - 8y = 1 (Adding the equation 2 to the last form of the equation 1)

------------------

-17x = 17 (Adding like terms)

x = 17/(-17) ( Dividing by -17 on both sides of the equation)

x= -1

Replacing x=-1 in the equation 1,we have:

-3(-1) + y = 2

3 + y = 2 (Multiplying and using the sign rules)

y = 2- 3 (Subtracting 3 from both sides of the equation)

y = -1 (Subtracting)

The answers are x=-1 and y=-1

Answer:

(h+63)

Step-by-step explanation:

Given that,

Isabella has 63 hair bows.

Isabella's sister has h more hair bows than Isabella. It means,

Isabella's sister = h+63

h and 63 are added as Isabella's sister has h more hair bows than Isabella.

Hence, the expression would be (h+63).

The researcher should use an independent samples t-test to test the data.

An independent samples t-test is appropriate when comparing the means of two independent groups or conditions.

Therefore, independent samples t-test is used to compare the effects of two different treatments on two separate groups.

Learn more about design and statistical analysis

brainly.com/question/31812196

#SPJ11

Answer:

156 for the first, 14 for the second

Step-by-step explanation:

x = -5 y=4

Plug in (first equation)

(4(4))^2 - (2(-5))^2

(16)^2 - (-10)^2

256-100

156

Second Equation

4y^2-2x^2

Plug in

4(4)^2 - 2(-5)^2

4(16) - 2(25)

64-50

14

Parenthesis make a huge difference

Hope this helps =D

The absolute maximum and minimum represent the highest and lowest points of a function over its entire domain, while local extrema represent the highest and lowest points within a specific interval or neighborhood of a function.

The absolute maximum and minimum are similar to the local extrema in that they are both points on a function where the function reaches its extreme values. However, they differ in terms of their scope.

The absolute maximum and minimum are the highest and lowest values of a function over its entire domain, respectively. These values represent the overall highest and lowest points on the function. In contrast, local extrema are the highest and lowest points within a specific interval or neighborhood of a function.

To find the absolute maximum and minimum, you need to consider the entire domain of the function and analyze the function's behavior at all points. On the other hand, to find local extrema, you only need to focus on a specific interval and analyze the function's behavior within that interval.

In summary, the absolute maximum and minimum represent the highest and lowest points of a function over its entire domain, while local extrema represent the highest and lowest points within a specific interval or neighborhood of a function.

Learn more about function

brainly.com/question/30721594

#SPJ11

Answer:

It would be 10 14/25

Step-by-step explanation:

You could use a calculator for this, but that’d be cheating so let me explain.

We make both of our fractions improper first

4 4/5 = 24/5

2 1/5 = 11/5

We won’t need to change the “bottom number“ since they’re already the same, so let’s multiply them now.

24 x 11 = 264

————

5 x 5 = 24

Ten 24s can fit into 264 so our final number is

10 14/25

Answer:

Step-by-step explanation:

(1).

(a). 1 m ≈ 3.28 ft.

128 m ≈ 419.84 ft.

(b). 1 yd. ≈ 0.0009144 km

3910 yd. ≈ 3.58 km

(2). 1 m ≈ 0.0006214 mi.

10 000 m ≈ 6.2 mi.

Answer: A

Step-by-step explanation:

We have to find the value of x for the given equation e^(−x^)−e^x =3. Here we can use a small trick to get the solution. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3.

This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.

Given equation is e^(−x^)−e^x =3.We can replace e^-x with 1/e^x.Now the equation is e^(x) - 1/e^(x) = 3.

Let's take e^x as a variable and solve the equation:e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0.

This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.

We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2a.

Substituting the values, we get:x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2Hence the value of x is x = [3 ± sqrt(13)]/2.

We can solve the given equation e^(−x^)−e^x =3 using a small trick. We know that e^-x is the reciprocal of e^x. So we can replace e^-x with 1/e^x. Now we have the equation e^(−x^)−e^x =3 in the form e^x - 1/e^x = 3. This is a quadratic equation in the form ax^2 + bx + c = 0.

Here a = 1, b = 0, c = -3. We can solve this quadratic equation to get the value of x.We have, e^x - 1/e^x = 3Multiplying both sides by e^x, we get e^x * e^x - 1 = 3e^xNow e^(2x) - 3e^x - 1 = 0This is a quadratic equation in the form ax^2 + bx + c = 0. Here a = 1, b = -3, c = -1.

We can solve this quadratic equation using the quadratic formula which is given as:x = [-b ± sqrt(b^2-4ac)]/2aSubstituting the values, we get:

\(x = [-(-3) ± sqrt((-3)^2-4(1)(-1))]/2(1)x = [3 ± sqrt(13)]/2So the value of x is x = [3 ± sqrt(13)]/2.\)

Hence the solution of the equation e^(−x^)−e^x =3 is x = [3 ± sqrt(13)]/2.

To know more about quadratic equation :

brainly.com/question/30098550

#SPJ11

Answer:

-$150

Step-by-step explanation:

Given:

(I - E) / 12

Where,

I = total income

E = total expenses

I = $52,000

E = $53,800

(I - E) / 12

= (52,000 - 53,800) / 12

= -1,800 / 12

= -150

-$150 shows that Mr. Engle's total expenses exceeds his total income per month with an average of $150

Answer:

$1,462.50

Step-by-step explanation:

To find the percentage, multiply 1,250 by 0.0425, giving us 53.125. Multiply this by the 4 years, giving us a total of 212.5. Add 212.5 and 1,250, leaving us with his total, $1,462.50

Hope this helps!

Answer:

umm i think you are hopefully im right lol

One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials.

The likelihood of success is constant from trial to trial, and subsequent trials are independent. A binomial distribution, which derives from counting successes across a series of trials, has just two possible outcomes on each trial.

One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the chance of success, indicated by the symbol p, stays constant. There are n independent trials. In other words, the results of one trial do not influence those of the others.

An experiment with a fixed number of independent trials and just two results is referred to as a binomial experiment.

To learn more about binomial distribution refer to:

https://brainly.com/question/9325204

#SPJ4

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

To learn more about stratified sampling  Click Here:  brainly.com/question/30397570

#SPJ11

So, 240 TVs can be referred to as the HD section of the bar. The final expressions  60% of the total number of televisions ordered, or 20% of the total, can be labeled as non-HD to complete the bottom of the bar.

In mathematics, you can multiply, split, add, or take away. The following is how an expression is made together: Numeric value, expression, and arithmetic operator The elements of a mathematical expression are integers, parameters, and functions.   It is feasible to use contrasting words and expressions. Any mathematical declaration containing variables, numbers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

We can draw a bar to represent the overall number of televisions in this issue, then divide it into two parts to represent high-definition (HD) and non-HD televisions. Given that we know that 80% of the items in our purchase are HD, we can say that the HD portion makes up 80% of the entire bar.

80 percent of 300 TVs are in HD.

TVs with HD resolution = 0.8 x 300

240 HD TVs are available.

So, 240 TVs can be referred to as the HD section of the bar. The final 60% of the total number of televisions ordered, or 20% of the total, can be labeled as non-HD to complete the bottom of the bar. The finished bar model would resemble the following:

_________________________________

|               |                 |

|     HD        |     Non-HD      |

|_______________|_________________|

240            60               300

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

Answer:

2.1

Step-by-step explanation:

Simplifying

3.4 + -2.8d + 2.8d + -1.3 = 0

Reorder the terms:

3.4 + -1.3 + -2.8d + 2.8d = 0

Combine like terms: 3.4 + -1.3 = 2.1

2.1 + -2.8d + 2.8d = 0

Combine like terms: -2.8d + 2.8d = 0.0

2.1 + 0.0 = 0

2.1 = 0

Solving

2.1 = 0

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

Step-by-step explanation:

The slope of a line on a graph is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

Ernest used (x1, y1) = (15, 450) and (x2, y2) = (60, 900) to fill values into this formula. In doing so, he got ...

  m = (900 -450)/(60 -15) = 450/45 = 10

This is an appropriate use of the formula, so gave Ernest the correct answer.

This format had 144 possible telephone area codes in the United States and Canada.

We can calculate the number of possible area codes based on the given information by multiplying the number of options for each digit.

There are 8 options for the first digit (2 through 9), 2 options for the second digit (0 or 1), and 9 options for the third digit (1 through 9).

So, the total number of possible area codes is:

8 x 2 x 9 = 144

Know more about integer here:

https://brainly.com/question/15276410

#SPJ11

Answer:

Step-by-step explanation:

16/28

The answer is:

4/7

Work/explanation:

To find an equivalent fraction for 8/14, we will reduce it to its lowest terms, by dividing both its numerator and its denominator by 2:

\(\sf{\dfrac{8\div2}{14\div2}}\)

\(\sf{\dfrac{4}{7}}\)

Hence, a fraction equivalent to 8/14 is 4/7.

The thing to remember is that it's by far not the only option. In fact, there are infinite options. You can't divide anymore, but you can multiply 8/14 by 2, 3, 4, etc. As long as you multiply the numerator and the denominator by the same number, you'll get an equivalent fraction.

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

To know more about interest visit:

https://brainly.com/question/30393144

#SPJ11

Arithmetic overflow error converting numeric to data type numeric can be solved by increasing the precision and the scale, storing number in different data type or use user-defined datatype.

An "arithmetic overflow error converting numeric to data type numeric" error occurs when you try to store a number in a numeric column that is too large to be represented by the specified precision and scale. To resolve this error, you have a few options:

Increase the precision and scale of the numeric column, you can increase the precision and scale of the numeric column so that it can store larger numbers.

If you don't need the precision and scale of a numeric column, you can store the number in a different data type, such as float or big int.

 If the number is too large to be represented in the numeric column, you can round it to a smaller value before inserting it into the database.

 If the number is still too large to be represented in a numeric column or a different data type, you can create a custom data type in SQL Server to store the number.

It's important to choose the right solution based on your requirements and the specific use case. You may also need to consider the performance implications of each solution, especially if the data being stored is very large or complex.

To learn more about overflow error click on,

https://brainly.com/question/14585228

#SPJ4

The set A = {[x 0; 0 x]: x ∈ R} does not form a subring of the ring of square matrices of real numbers M₂(R) because it does not satisfy the closure property under matrix multiplication.

To determine if the set A forms a subring, we need to check if it satisfies the necessary conditions.

For A to be a subring, it must be closed under addition and multiplication, and it must contain the additive identity (the zero matrix).

In this case, the set A consists of 2x2 diagonal matrices where the entries on the main diagonal are equal to each other. It is easy to see that A is closed under addition since adding two matrices with the same entries on the diagonal will result in another matrix with the same property. Additionally, the zero matrix is included in A.

However, A fails to satisfy the closure property under matrix multiplication. If we multiply two matrices from A, we obtain a matrix with entries on the main diagonal that are the product of the corresponding entries in the original matrices. But since the set A only contains matrices with equal diagonal entries, the product of two matrices from A will not necessarily have the same entries on the main diagonal. Therefore, A does not form a subring of M₂(R) because it fails to satisfy the closure property under matrix multiplication.

Learn more about matrices here:

https://brainly.com/question/30646566

#SPJ11

Answer:

Step-by-step explanation:

2 \(\pi\) r=25.71

6.284r= 25.71 (divide by 8.284 on both sides)

r=4.09cm

The general solution is y(x) = c_1x + c_2x ln(x) + c_3x^-4 + (1/8)x, where c_1, c_2, and c_3 are constants.

To find the general solution to the Cauchy-Euler equation x^3y" - 7x^2y"' +8xy' - 8y = x, we first need to find a particular solution to the non-homogeneous equation.

We can try a particular solution of the form y_p(x) = Ax + B. Substituting this into the equation, we get:

x^3(0) - 7x^2(0) + 8x(1) - 8(Ax + B) = x

Simplifying this, we get:

8Ax - 8B = x

Comparing coefficients, we see that A = 1/8 and B = 0. Therefore, our particular solution is y_p(x) = (1/8)x.

Now, we can find the general solution by adding the particular solution to the homogeneous solution.

Since (x, 4x ln(4x), x^r) is a fundamental solution set for the corresponding homogeneous equation, we can write the homogeneous solution as:

y_h(x) = c_1x + c_2x ln(x) + c_3x^-4

where c_1, c_2, and c_3 are constants.

Therefore, the general solution is:

y(x) = y_h(x) + y_p(x)
y(x) = c_1x + c_2x ln(x) + c_3x^-4 + (1/8)x

where c_1, c_2, and c_3 are constants.

To learn more about the Cauchy-Euler equation visit: brainly.com/question/12976304

#SPJ11

Answer:

$13 overpayment

Step-by-step explanation:

We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:

               ($26,555/(36 months)) = $737.64 per month

Since Trevor decide to round up to the nearest dollar, he will pay $738 each month.  That's an overpayment of $0.361 each month.

After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:

  ($0.36/month)*(36 months) = $13 overpayment

Answer:

12

Step-by-step explanation:

that is because 20 of 60 is 12

60X20/100=12

When tossing two dice, each die has six possible outcomes: 1, 2, 3, 4, 5, and 6. Out of these, three are odd numbers: 1, 3, and 5. Thus, the probability of rolling an odd number on one die is 3/6 or 1/2. The probability of rolling a 6 on the other die is 1/6.

To find the probability of rolling an odd number and a 6 in a single toss, we multiply the probabilities of the individual events: (1/2) * (1/6) = 1/12.

In 60 tosses, each toss is an independent event, so we can use the binomial distribution formula to calculate the expected number of successes (odd number and a 6).

The formula is given by nCk * p^k * (1-p)^(n-k), where n is the number of tosses, k is the number of successes, p is the probability of success, and nCk represents the number of combinations.

Substituting the values, we have 60Ck * (1/12)^k * (11/12)^(60-k). Calculating this for k = 1, 2, 3, ..., 60 and summing up the results will give us the expected number of times we will roll an odd number and a 6 in 60 tosses.

For more such questions on probability

https://brainly.com/question/30390037

#SPJ8