The line x − y = 2 is on a coordinate plane and contains EF, which is one side of square EFGH. What is the slope of the line that contains FG?


(Please actually answer and not do some gibberish answer, I really need help with this.)

You're either asking to evaluate

1101² + 1101²

or, seeing as 1101 consists only of 0s and 1s, you're asking to compute a sum in base 2,

1101₂ + 1101₂

If you really mean 1101² + 1101², we have

1101² = (1100 + 1)²

… = 1100² + 2•1100•1 + 1²

… = 1,210,000 + 2200 + 1

… = 1,212,201

so that

1101² + 1101² = 2 • 1,212,201 = 2,424,402

I think the latter is the more likely scenario. In base 2, we have

0₂ + 0₂ = 0₂

1₂ + 0₂ = 0₂ + 1₂ = 1₂

1₂ + 1₂ = (2)₂ = (2 + 0)₂ = 10₂

So, when we add the digits of 1101₂ and 1101₂ in the same place value, we have

• in the "ones" place, 1₂ + 1₂ = 10₂

• in the "twos" place, 0₂ + 0₂ + 1₂ = 1₂, where we carry the leading 1 from the previous place sum

• in the "fours" place, 1₂ + 1₂ = 10₂

• in the "eights" place, 1₂ + 1₂ + 1₂ = 11₂, where we again carry the leading 1 from before

Then

1101₂ + 1101₂ = 11010₂

Given:

The decimal number is 15.265.

To find:

The decimals in the form of \(\dfrac{p}{q}\) and p,q are co-primes.

Solution:

Let the decimal number be \(x=15.265\).

It can be rewritten as

\(x=15.265\times \dfrac{1000}{1000}\)

\(x=\dfrac{15265}{1000}\)

\(x=\dfrac{5\times 3053}{5\times 200}\)

Cancel out the common factors.

\(x=\dfrac{3053}{200}\)

Here, p=3053 and q=200 and the HCF of (p,q) is 1. So, p and q are co-primes.

Therefore, the requited fraction form is \(\dfrac{3053}{200}\).

The probability distribution which is associated with continuous outcomes is Triangular probability distribution. Binomial, Poisson and Custom probability distributions are associated with discrete outcomes.What is probability?Probability is a concept of how likely an event will occur. Probability is the branch of mathematics that deals with calculating the likelihood of one event occurring out of a range of possible outcomes. Probability can be used to predict the likelihood of future events.A binomial distribution is one of the discrete probability distributions. This means that there are only a set number of possible outcomes, which can take on certain numerical values. The Poisson distribution is also a discrete probability distribution. It is usually used to model rare events.The triangular distribution is a continuous probability distribution. It is named so because its shape forms a triangle. The distribution is symmetric and unimodal.

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The cellular diameter of 40 micrometers is equal to 0.04 millimeters.

The cellular diameter of 40 micrometers is equal to 0.04 millimeters. This can be calculated by multiplying the cellular diameter in micrometers by 0.001. This calculation is best understood when represented in a graphical form. The cellular diameter of 40 micrometers can be represented by a bar graph, with the bar measuring 40 micrometers. To convert this to millimeters, the bar needs to be shifted 0.001 times the length of 40 micrometers. Thus, the new bar graph after the conversion will measure 0.04 millimeters. This is equivalent to the cellular diameter of 40 micrometers.

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The option that represents the distance between the two points on the graph shown above would be = 3.5. That is option B.

The formula that can be used to calculate the distance between the two points;

= √ (x2-x1)²+(y2-y1)²

where;

X1= -3

x2 = 0.5

y1 =0

y2 = 0

= √(-3-0.5)²

= √(-3.5)²

= √12.25

= 3.5

Therefore the distance between the given points = 3.5

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Based on the given formula, if a student has a reading speed of 150 words per minute (w.p.m) and a comprehension score of 7, we can expect them to achieve an exam score of approximately 9.03.

To calculate the expected exam score, we can substitute the given values into the formula. The formula states that the exam score is equal to 7.78 plus 0.05 multiplied by the reading speed, and then added to 5.77 multiplied by the comprehension score.

For a reading speed of 150 w.p.m, we can calculate the reading speed component as 0.05 multiplied by 150, which equals 7.5. For a comprehension score of 7, the comprehension component is 5.77 multiplied by 7, which equals 40.39.

Adding these components to the base score of 7.78, we get the expected exam score of approximately 9.03. This score represents the combined influence of reading speed and comprehension on the overall exam performance.

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The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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Answer:

194444.4

Step-by-step explanation:

The number of fish catch in 9 years were 48,477.37.

Exponential decay is a scalar multiple of the exponential distribution i.e. the individual lifetime of each object is exponentially distributed, which has a well-known expected value.

Given that the company's operations it managed to catch 70,000 fish.

The number of fish the company was able to catch decreased by 4% each year.

We need to find the number of fish catch in 9 years,

So, the exponential decay is to be used her, so,

Exponential decay = P(1-r)ⁿ

= 70,000(1-0.04)⁹

= 70,000 × 0.96⁹

= 48,477.37

Hence the number of fish catch in 9 years were 48,477.37.

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Answer:  66% of 110 is 72.6

Step-by-step explanation:

Because i said so

There is no curve that describes the level curve of value c for the given surface, as the condition c < 0 makes it impossible to find a real solution.

In two- or three-dimensional space, a curve is a mathematical object that symbolises a continuous, smooth path. Curves can be derived from geometric operations, parametric equations, or mathematical equations. They are commonly used to simulate real-world processes in physics, engineering, mathematics, and many other disciplines.

To find the level curve of value c for the given surface \(z = f(x, y) = (x^2/4) + (y^2/25) = c\), where c < 0, follow these steps:

Step 1: Write down the equation of the surface.
\(z = f(x, y) = (x^2/4) + (y^2/25)\)

Step 2: Replace z with the constant c.
\(c = (x^2/4) + (y^2/25)\)

Step 3: Rearrange the equation to isolate \(y^2\).
\(y^2 = 25(c - (x^2/4))\)

However, note that we're given that c < 0. This means that the value inside the parentheses (c - (\(x^2/4\))) must also be negative. Since y^2 can't be negative, there's no real solution for this equation.

In conclusion, there is no curve that describes the level curve of value c for the given surface, as the condition c < 0 makes it impossible to find a real solution.

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The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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Answer:

By doing 3 divided by 5, you will get 3/5 of trail mix per person.

Step-by-step explanation:

The fraction of a bag of trail mix each friend gets will be 8/9.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Nine friends share 8 bags of trail mix equally.

Then the fraction of a bag of trail mix each friend gets will be given by the division of the number 8 by 9. Then the fraction is given as,

⇒ 8 / 9

The fraction of a bag of trail mix each friend gets will be 8/9.

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It is true that the existence of two local maxima does not guarantee the presence of a local minimum. It is possible for a function to have multiple local maxima and no local minimum.

For example, consider the function f(x,y) = x^4 - 4x^2 + y^2. This function has two local maxima at (2,0) and (-2,0), but no local minimum. Therefore, the statement "if f(x,y) has two local maximal, then f must have a local minimum" is false. The presence or absence of local maxima and minima depends on the behavior of the function in the immediate vicinity of a point, and cannot be determined solely based on the number of local maxima. It is possible for a function to have an infinite number of local maxima and minima, or none at all. Therefore, it is important to carefully analyze the behavior of a function in order to determine the presence or absence of local extrema.

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5,

O, Y, M, I and A would look the same in a reflection as they are symmetrical

The expression is undefined when t equals 8.

To find the excluded values for the expression 7t - 6/t - 8, we need to look at the denominator of the fraction, which is t - 8. This fraction is undefined when the denominator equals zero.

Setting t - 8 equal to zero, we get:

t - 8 = 0

t = 8

Therefore, the expression is undefined when t equals 8.



The expression 7t - 6/t - 8 has an excluded value at t = 8. This is because the denominator of the fraction, t - 8, becomes zero when t equals 8. In order for a fraction to be defined, the denominator must not equal zero. Therefore, we need to find all values of t that make the denominator zero. By solving the equation t - 8 = 0, we find that t = 8 is the only value that makes the denominator zero.



The excluded value for the expression 7t - 6/t - 8 is t = 8.



The expression 7t - 6/t - 8 has a fraction with denominator t - 8. For the fraction to be defined, the denominator must not equal zero. Therefore, we need to find all values of t that make the denominator zero.

To do this, we set the denominator equal to zero and solve for t:

t - 8 = 0

t = 8

Therefore, the expression is undefined when t equals 8.

To see why this is the case, let's consider what happens when we substitute t = 8 into the expression:

7t - 6/t - 8

= 7(8) - 6/8 - 8

= 56 - 6/8 - 8

= 56 - 0.75 - 8

= 47.25

However, if we look at the denominator of the fraction, t - 8, we see that it equals zero when t equals 8. This means that we cannot divide by zero, and the expression is undefined when t equals 8.

In summary, the excluded value for the expression 7t - 6/t - 8 is t = 8, as this is the only value that makes the denominator of the fraction equal to zero.

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Answer:

they are congruent im pretty sure

Step-by-step explanation:

looks like they are congruent by SAS

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

9

Step-by-step explanation:

8-6(2)/4+2(2)

8-12/4+4

8-3+4

9 not sure though

Answer:

The answer is 9

Step-by-step explanation:

We just have to substitute the value of X and Y with 2 and 4 so...

8-6x/y +2x

=8- 6×2/4 + 2×2 (Just replaced the X and Y here)

Now we solve it

=8 - 12/4 + 4

= 32-12/4 +4

= 20/4 + 4

= 5 +4

= 9

Answer:

3x + 15

Step-by-step explanation:

when distributing, multiply the number outside of the parentheses by the numbers inside the parentheses.

Hey there!

3(x + 5)

DISTRIBUTE 3 WITHIN the PARENTHESES

= 3(x) + 3(5)

= 3x + 15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

To prove that two lines are perpendicular, when all we have are those two lines, we can use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.

Our diagonals intersect at point O, so we'd need to show the two linear angles formed at that intersection point are equal, and we can do that with triangle congruency.

A rhombus is a parallelogram, so we will use what we already know about parallelograms - that the diagonals bisect each other.

It is then easy to show that the triangles  ΔAOD and  ΔAOB are congruent using the Side-Side-Side postulate, and from that that ∠AOD ≅ ∠AOB.

And now, since ∠AOD and ∠AOB are a linear pair, we use the Linear Pair Perpendicular Theorem - If two straight lines intersect at a point and form a linear pair of equal angles, they are perpendicular.

PROOF

(1) ABCD is a rhombus //Given

(2) AB=AD                     //definition of rhombus

(3) AO=AO                    //Common side, reflexive property of equality

(4) BO=OD // A rhombus is a parallelogram, a parallelogram's diagonals bisect each other

(5) △AOD≅△AOB   //Side-Side-Side postulate.    

(6) ∠AOD ≅ ∠AOB     //Corresponding angles in congruent triangles (CPCTC)

(7) AC⊥DB     //Linear Pair Perpendicular Theorem

The converse of this is also true: if a parallelogram's diagonals are perpendicular, it is a rhombus.

Answer:

y = 45

Step-by-step explanation:

y = k x^2

500 = k * 10^2

500 = k*100

k = 5

y = 5*x^2

x = 3

y = 5*3^2

y = 45

The (⍺3β3) oligomer of ATP synthase can have 3 different functional conformations.

The (⍺3β3) oligomer of ATP synthase, which consists of three α-subunits and three β-subunits, can exhibit three different functional conformations. These conformations are known as "open," "loose," and "tight" states. The binding change mechanism describes the sequential transition of the catalytic sites within ATP synthase as they alternate between these conformations, facilitating the synthesis of ATP.

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You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Answer:

P(A and 2) = 1/12, P(D and 1) = 1/8, P(A and not 2) = 1/6

Step-by-step explanation:

P(A and 2)

There is a 1/4 chance that you hit a when you spin the spinner. There is a 2/6 chance that you hit two when you spin the spinner. 1/4*2/6 = 2/24=1/12

P(D and 1)

There is a 1/4 chance that you hit d when you spin the spinner. There is a 3/6 chance that you hit one when you spin the spinner. 1/4*3/6=3/24=1/8.

P(A and not 2)

There is a 1/4 chance that you hit a when you spin the spinner. There is a 4/6 chance that you hit anything but two in the second spinner. 1/4*4/6=4/24=1/6

Answer:

160 Seconds or 2 minutes and 45 seconds

Step-by-step explanation: So 6.4x25=160 seconds or 2 min 45 sec

Steps

First, convert your number into an improper fraction

10 * 3 = 30

Then add.

31/3 is your answer.

Answer:

31/3

Step-by-step explanation:

A mixed number is an addition of its whole and fractional parts. To write 10 as a fraction with a common denominator, multiply by 3/3. combine 10 and 3/3,Combine the numerators over the common denominator. Simplify the numerator. Multiply 10 by 3, 30+1/3 add 30 and 1 31/3

When using the least-squares line for prediction, the results are generally more reliable for interpolation rather than extrapolation. Interpolation refers to predicting values within the range of the data used to create the least-squares line, while extrapolation involves predicting values beyond that range. The reliability of extrapolation decreases because it assumes that the relationship between the variables continues outside the observed data, which may not always be accurate due to potential unforeseen factors or changes in the underlying relationship.

The least-squares line is a method used to find the best-fit line that minimizes the sum of the squared residuals between the observed data points and the predicted values on the line. It is commonly used for linear regression analysis to make predictions based on the relationship between two variables.

When using the least-squares line for interpolation, the predicted values are within the range of the data used to create the line. In this scenario, the least-squares line provides a reliable estimate because it is based on observed data points and their relationship. Interpolation assumes that the underlying relationship between the variables remains relatively consistent within the observed range.

However, when it comes to extrapolation, the reliability of the results decreases. Extrapolation involves predicting values beyond the observed range of the data. While it is possible to extend the least-squares line to make predictions, it assumes that the relationship between the variables continues in the same manner outside the observed range. This assumption may not always hold true due to potential unforeseen factors or changes in the relationship between the variables.

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Step-by-step explanation: The intersection of two figures can

be defined as the set of points that is contained in both figures.

In this figure, lines h and i intersect at C or we can

say that C is the intersection of lines h and i.

In this figure, C is the intersection of lines h and i

because C is the point contained by both h and i.

Answer:

the Area is 1280 cm

Step-by-step explanation:

All we need to do is use the formula for finding area which is length times width.

\(L*W\)

We are given both of those measurements so all we need to do is put them in the formula

\(32*40=1280\)