In the figure, if I and K are parallel lines, what is the value of x+y in degrees?

The exponential function decays at three-fourths the rate of the quadratic function.

The given inequality is -2≤x≤0.

We need to determine how do the decay rates of the functions compare over the interval.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.

We calculate the average slope of each graph in the indicated interval, the slope can be calculated as \(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\).

Now, for the exponential function:

\(m_{c} =\frac{4-1}{-2-0} =\frac{3}{-2}\)

For the quadratic function:

\(m_{q} =\frac{4-0}{-2-0} =\frac{4}{-2}=-2\)

Now, the ratio of both average slopes is\(\frac{m_{c} }{m_{q}} =\frac{\frac{3}{-2} }{-2} =\frac{3}{4}\).

Therefore, the exponential function decays at three-fourths the rate of the quadratic function.

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It's asking  would not be a solution soo

(-10, -9) as you can see

You're welcome thank me later

The five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

Measures of statistical dispersion, or the spread of the data, include the interquartile range. In addition to the IQR, other names for it include the midspread, middle 50%, fourth spread, and H-spread.

To find the five-number summary and interquartile range for this data set, we first need to find the quartiles.

Step 1: Find the median (Q2)

When a data collection is sorted from least to largest, the median is the midway value. Since there are 12 values in this data set, the median is the average of the sixth and seventh values:

Median (Q2) = (41 + 46)/2 = 43.5

Step 2: Find the lower quartile (Q1)

The lower quartile is the median of the lower half of the data set. Since there are 6 values below the median, we take the median of those values:

Q1 = (32 + 32)/2 = 32

Step 3: Find the upper quartile (Q3)

The upper quartile is the median of the upper half of the data set. Since there are 6 values above the median, we take the median of those values:

Q3 = (50 + 51)/2 = 50.5

Now we have all the information we need to construct the five-number summary and interquartile range:

Minimum: 29

Lower quartile (Q1): 32

Median (Q2): 43.5

Upper quartile (Q3): 50.5

Maximum: 53

Interquartile range (IQR) = Q3 - Q1 = 50.5 - 32 = 18.5

the five-number summary for this data set is 29, 32, 43.5, 50.5, and 53, and the interquartile range is 18.5.

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Answer:

The answer is −2x+y=−4 or 2x−y=4 . Standard form is Ax+Ay=C

Step-by-step explanation:

Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.

Brainliest? it would be Appreciated! Have a nice day!

Answer:

2x=4y

Step-by-step explanation:

Three important events for prisoners' rights are Jones v. Cunningham in 1963, Cooper v. Pate in 1964 and Furman v. Georgia in 1972 because due to all of these legal cases prisoners were provided with basic rights and protections.

This was an important court case in which the habeas corpus right was ratified, which means prisoners can report if their detention was unlawful.

This was an important court case through which it was stablished prisoners can sue if the imprisonment conditions are cruel.

This was also an important court case through which it was determined death penalty was unconstitutional as it was considered a cruel punishment.

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According to the solving the lengths of right angle triangle using Pythagorean theorem x = 6, y = 3

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem or Pythagoras' theorem. According to this rule, the area of the square with the hypotenuse side is equal to the sum of the areas of the squares with the other two sides.

The following is one way to perform the calculation. It may not be the best way.

c = b/cos(α)

= 6

a = √c2 - b2

= √62 - 5.192

= √9.0639

= 3.01063

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Answer:

5/10

Step-by-step explanation:

there are 5 even number so the probability of choosingan even number is 5/10

Answer:

Dependent and Independent could be used like a ride on a bike, or even traveling to a friend's house. The dependent variable depends on the independent variable, so let's say I biked at a speed of 7 min per hour and I traveled 42 miles. The independent variable is minutes, because distance depends on time.

Step-by-step explanation:

All the equations that represent a line passing through the point (-2, 5) with a slope of 4 are:

A. y - 5 = 4(x + 2)

B) 4x – y = –13

In Mathematics, the slope-intercept form of a line can be calculated by using this linear equation:

y = mx + c

Where:

From the information provided above, we have the following slope and data points on the line:

At data point (-2, 5), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 4(x + 2)

y - 5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

4x - y = -13

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Complete Question:

Select all the equations that represent a line passing through the point (–2, 5) with a slope of 4. Multiple select question.

A) y − 5=4(x+2)

B) 4x – y = –13

C) y+5=4(x – 2)

D) 4x – y=13

E) y+2=4(x – 5)

F) 2x – 5y=4

Answer: Without additional information, it's not possible to answer these questions with certainty. However, we can make some assumptions and calculations based on average values.

Assuming that an average bagel contains about 250-300 calories, we can estimate the number of calories in one bagel as 275 calories.

To determine how many bagels one could eat if they only wanted to consume 2,500 calories, we would need to divide the total calorie limit by the number of calories in one bagel:

2500 calories / 275 calories per bagel ≈ 9 bagels

So, if someone wanted to consume no more than 2,500 calories and each bagel contains about 275 calories, they could eat about 9 bagels.

For the third question, we can use the information given to calculate how many calories Jerrel can still consume:

Maximum calories for dinner = 2400 - 1275 = 1125 calories

Assuming an average bagel contains 275 calories, we can estimate the maximum number of bagels Jerrel can have as:

Maximum number of bagels = 1125 calories / 275 calories per bagel ≈ 4 bagels

Therefore, Jerrel can have a maximum of 4 bagels for dinner if he wants to consume no more than 2,400 calories and has already consumed 1,275 calories.

Step-by-step explanation:

Answer:

Please refer to the attachment

Hope it helps

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Thank you

Answer:

  DNE

Step-by-step explanation:

You want the value of 'b' so that the system of equations has no solution.

In order for the system of two linear equations to have no solution, the equations must describe parallel lines. That is, the lines must have the same slope.

The slope of the line written in the form px -qy = c is the coefficient of x when the equation is rearranged to "y=" form. Here, that is p/q.

The slope of the first line is 5/2; the slope of the second line is 5/6. These values are different and do not depend on 'b'.

There is no value of 'b' that will make this system have no solution. It does not exist (DNE).

Answer:

There are 15 students in class 6

Step-by-step explanation:

Let's call the number of students in class 6 "n".

We know that:

Anton gets 0.2 * n votes

Eva gets 0.1 * n votes

Petra gets (1 - 0.2 - 0.1) * n votes

Kofi gets 9 votes

The total number of votes is n, so we can write:

n = 0.2 * n + 0.1 * n + (1 - 0.2 - 0.1) * n + 9

Simplifying this equation:

0.6 * n = 9

So:

n = 9 / 0.6

n = 15

Answer:

Second answer is the correct answer

According to PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction), what should be done first to evaluate the expression would be dividing 15 ÷ 3 :)

Answer:

96 square feet

Step-by-step explanation:

Area= length x width

So for the rug it would be 12x8

12x8=96

To find the integral we need to divide it according to the intervals that define the piece-wise function, then we have:

Now that we have divide the integral we plug the expressions that define it in the intervals:

Therefore, the integral is 327/10

As you can observe, this is an arithmetic sequence with a difference of 4 because each new term is 4 units more than the previous one: 4+4=8, 8+4=12, 12+4=16,...

We have to use the function for arithmetic sequences

Where f(1) = 4 and d = 4. So, the function is

Hence, the function of the sequence a is f(n) = 4n.

This sequence is geometric because each new term is four times its previous one: 1x4=4, 4x4=16, 16x4=64,...

We have to use the function for geometric sequences

Where f(1) = 1 and r = 4.

Hence, the function is

As you can observe, this sequence is formed by the same number, which means it represents a constant function like the following

It should be noted that Polygon 3 and polygon 4 are similar to polygon 1.

In geometry, it should be noted that a polygon is a plane figure which is described by a finite number of straight line segments that are connected in order to form a closed polygonal chain.

In this case, the bounded plane region, the bounding circuit, may be called a polygon. Also, a similarity transformation is the conformal mapping whose transformation matrix are identical.

In this case, it should be noted that Polygon 3 and polygon 4 are similar to polygon 1.

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Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

The group does not have enough food to complete the trip with all five members. By sacrificing one member's trip to the South Pole and carefully rationing the food, the group can ensure that each person has enough food to complete the trip safely.

According to the given chart, calculate that each crate contains a total of 48000 calories. Therefore, two missing crates result in a total loss of 96000 calories (48000 x 2).

Determining whether the group has enough food to reach the South Pole and return to base camp, calculate the total number of calories required for the entire trip. Supposing a round trip of 10 days to the South Pole and back, the total number of calories required would be:

Total Calories = (6000 calories/person x 5 people x 10 days) x 2 (round trip)

Total Calories = 600,000 calories

To cover for the lost calories, the group would need to sacrifice one member's trip to the South Pole and send them directly back to base camp. This would leave four members to continue to the South Pole, where they would have to ration their food carefully to make sure they have enough for the entire trip.

Below is a plan to ensure enough food:

Day 1-2:

Day 3-5:

Day 6-7:

Day 8-10:

Add up all the total calories consumed:

60,000 + 18,000 + 180,000 + 48,000 + 90,000 = 396,000 calories

This is less than the total calories required, which was 600,000 calories. Therefore, the group does not have enough food to complete the trip with all five members. By sacrificing one member's trip to the South Pole and carefully rationing the food, the group can ensure that each person has enough food to complete the trip safely.

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Answer:

math = 227.98

programming = 42.55

Step-by-step explanation:

We have
3m + 4p = 854.14 -eq(1)

8m + 1p = 1866.39 -eq(2)

rq(2) x 4: 32m + 4p = 7465.56 -eq(3)

eq(3)-eq(1):

32m + 4p = 7465.56

- ( 3m + 4p = 854.14)

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

29m = 6611.42

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

⇒ m = 6611.42/29

m = 227.98

sub in eq(1)

3(227.98) + 4p = 854.14

4p = 854.14 - 683.94

4p = 170.2

p = 170.2/4

p = 42.55

Answer:

.49 if you're dividing them.

Step-by-step explanation:

Answer:

\(y=-x+1\)

Step-by-step explanation:

It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:

\(-7x-7y=7\)

add 7x to both sides:

\(-7y=7x+7\)

Divide both sides by -7

\(y=-x-1\)

Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:

\(y=-x+b\text{ where b }\ne -1\)

We're given the point (-1, 2) and we can use it to solve for that "b" value.

We plug in -1 as x and 2 as y

\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)

Now we just plug this into the general equation to get: \(y=-x+1\)

The limits in the integral of the options are missing. They are :

a). \(\frac{d}{dx} \int^2_0 f(x)dx = 0\)

b). \(\frac{d}{dx} \int^x_2 f(t)dt = 0\)

c). \($\int^x_2f'(x)dx=f(x)$\)

Solution:

We known that

\($\frac{d}{dx}\int^{g(x)}_{h(x)}f(t)dt = f(g(x))\cdot g'(x)-f(h(x))\cdot h'(x)$\)

a).  \(\frac{d}{dx} \int^2_0 f(x)dx\)

     \($=f(2) \cdot \frac{d}{dx}(2) - f(0)\cdot \frac{d}{dx}(0)$\)

     = 0 - 0

     = 0

Hence it is true.

b).   \(\frac{d}{dx} \int^x_2 f(t)dt\)

      \($=f(x)\frac{d}{dx}(x)-f(2)\cdot \frac{d}{dx}(2)$\)

      \($=f(x) \cdot 1 -f(2)\times 0 $\)

      = f(x)

Hence it is true.

c). \($\int^x_2f'(x)dx\)

    \($\left[f(x)\right]^x_2 = f(x)-f(2)$\)

                \($\neq f(x) $\)

Hence it is false.

Therefore option a) and b). are true.

A square is a two-dimensional closed shape with 4 equal sides and 4 vertices. Its opposite sides are parallel to each other. We can also think of a square as a rectangle with equal length and breadth.

The area of a square is given as side².

We have,

The total amount of wood.

= 4 x 65.5

= 262 inches.

Frame:

Side = 5.25 inches

The perimeter of the frame.

= 4 x 5.25

= 21 inches

Now,

Sandbox:

The wood used for the sandbox.

= 11 x 21

= 231 inches

The remaining wood.

= 262 - (21 + 231)

= 262 - 252

= 10 inches

Thus,

The remaining wood is 10 inches.

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The follow up questions about the statistics that you might ask in order to obtain the data needed to make a decision about the validity of that statement include:

Statistics is the science that studies and develops methods for collecting, analyzing, interpreting, and presenting empirical data.

Statistics is the study and manipulation of data, which includes methods for gathering, reviewing, analyzing, and drawing conclusions from data. Statistics is divided into two categories: descriptive statistics and inferential statistics. Such questions can be asked to gain a better understanding of the statement's validity.

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