Solve the following system of equations graphically on the set of axes below. Y=-x+1 Y=1/4x+6

Hey there!

-2r - r + 8

= -2r - 1r + 8

COMBINE the LIKE TERMS

= (-2r - r) + 8

= -3r + 8

Therefore, your answer is most likely:

-3r + 8

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

you bad

Step-by-step explanation:

ferfrfvrgb rg bg bb

Cup B will hold approximately 18.8 cubic inches more volume juice than Cup A when both are completely full.

To answer this question, we first need to find the volume of each cup. We are given the dimensions of a cone (Cup A) and a cylinder (Cup B). The formula for the volume of a cone is (1/3)πr^2h, and the formula for the volume of a cylinder is πr^2h.

STEP 1. For Cup A (cone):
  - Radius (r) = width/2 = 2/2 = 1 inch
  - Height (h) = 3 inches
  - Volume = (1/3)π(1)^2(3) = π cubic inches

STEP 2. For Cup B (cylinder):
  - Radius (r) = width/2 = 2/2 = 1 inch
  - Height (h) = 7 inches
  - Volume = π(1)^2(7) = 7π cubic inches

Now, we need to find the difference in volume between Cup B and Cup A:

Difference in volume = Volume of Cup B - Volume of Cup A
                                   = 7π - π
                                   = 6π cubic inches
                                   ≈ 18.85 cubic inches

Rounding to the nearest tenth, the difference is approximately 18.8 cubic inches.

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The midpoints of the segment is (4, -3.5).

The coordinates of the point A(x, y) which divides the line segment joining the points P(a , b) and Q(c , d) internally in the ratio m : n are given by the formula: P ( x , y ) = ( a x n + c x m / (m+n)  , bn + dn / (m+n))

Given:

Points (-4, -7) and (12, -6).

So, the ratio is line is m:n = 1:1

let (x, y) be the midpoint.

Now, using section formula

x = (-4 x 1 + 12 x 1)/ (1+1)

x= (-4 +12) /2

x= 8/2

x= 4

and, y = (-7 x 1 -6 x 1)/ 2

y = -7-6/2

y = -13/2

y = -3.5

Hence, the midpoints are (4, -3.5).

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Determined by various factors such as sample size, statistical significance, and the chosen level of confidence. the probability that the test will fail to decide that the true value is 72.5 when it is indeed 72.5.  

In order to calculate the probability of a Type II error, one would need to know the specific details of the test being used, such as the sample size, the statistical power of the test, and the chosen level of significance.

In general, the probability of a Type II error increases as the sample size decreases and the level of significance decreases. This means that if the test being used is not sufficiently powered or if the level of confidence is too low, there is a higher probability of failing to detect a true effect.

If the test is not able to accurately determine if the statement is true or not when the actual value is 72.5, then there is a possibility that a Type II error has occurred. The probability of this error depends on the specific details of the test being used and cannot be determined without further information.

The probability of a test failing to decide a certain hypothesis is true, when it is actually true, can be determined using the concept of Type II error or false negative rate. In statistical hypothesis testing, Type II error (β) refers to the probability of failing to reject a false null hypothesis. These factors influence the power of the test, which is the probability of correctly rejecting the null hypothesis when it is false. The power of the test (1 - β) is complementary to the probability of making a Type II error.

In this case, the null hypothesis (H0) could be that the value is not equal to 72.5,

while the alternative hypothesis (H1) states that the value is equal to 72.5.

The probability you are looking for is the Type II error rate when the true value is 72.5.

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Answer:

Alex filled 6 7 of his binder.

Step-by-step explanation:

Answer:

The slope of the line is -5

Answer:

yea he is wrong

Step-by-step explanation:

He is wrong because you cant not just switch the variable. If you move the variable the value will change.

Answer 1: Together, Streetcar and Cable Car are the preferred transportation for 168 residents.

The circle graph shows the percentage of residents who prefer each transportation method, and the total sample size is 400.

For streetcar, (15/100) x 400 = 60 residents prefer it, and for cable car, (27/100) x 400 = 108 residents prefer it.

Together, Streetcar and Cable Car are the preferred transportation for 60 + 108 = 168 residents.

Answer 2: The median is the best measure of center, and it equals 19.

The box plot shows the distribution of the number of tickets sold for a school dance.

The median is the middle value of the data when arranged in order, and it is represented by the line in the box. In this case, the median is 19. The mean, on the other hand, can be influenced by extreme values, and we cannot determine it from the box plot alone.

Answer 3: Median, because Sunny Town is skewed.

When comparing the data, we need to consider the measure of center that is less affected by extreme values, and that is the median.

The median is the middle value of the data when arranged in order. The histogram for Sunny Town is skewed to the right, which means that there are some very high values that are affecting the mean.

Therefore, the median is the better measure of center to determine which location typically has the cooler temperature.

Answer 4: The IQR of 13 is the most accurate to use, since the data is skewed.

The histogram shows the frequency of donations received by a charity, and the data is skewed to the right.

The IQR (Interquartile Range) is the difference between the third quartile (Q3) and the first quartile (Q1), which represents the middle 50% of the data.

The IQR is less sensitive to extreme values and is a better measure of variability for skewed data. In this case, the IQR is 49 - 42 = 7, which is the most accurate measure of variability to use.

Answer 5: There were about 15 principals in attendance.

In the exhibit room, out of 80 people, 15 are principals.

We can assume that the proportion of principals in the exhibit room is the same as the proportion of principals in the conference.

Therefore, the estimated number of principals in the conference is (15/80) x 900 = 168.75, which is approximately 169.

Answer 6: Histogram

The teacher wants to represent the subject preferences of 100 students. A histogram would be the best graphical representation to use because it shows the frequency distribution of a continuous variable, which in this case could be the number of students who prefer each subject.

A stem-and-leaf plot is used for small datasets, and a box plot is used to display the distribution of a continuous variable across categories. A circle graph is more appropriate for displaying categorical data, such as the percentage of students who prefer each subject.

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Answer:

columnar petty cash book & imprest petty cash book

Step-by-step explanation:

1) Since the sum of interior angles yields 180º, no matter which type of triangle it is.

2) Then we can write

3x+12 +x +6x +8 = 180

10x +20 = 180º

10x = 180-20

10x = 160

x= 16

2.2 Let's find out the measurement of each angle

m∠ A= x Plug into that the value of x

m∠ A = 16º

m∠B= 3x+12 Plug into that the value of x

m∠B = 3(16) +12

m∠B = 48+12

m∠B =60

3) Then the answers are:

x = 16

m∠ A = 16º

m∠B =60

Answer: I think it would be 15 inches but don't trust me I'm bad at math

Step-by-step explanation:

Answer:

I think it's 15 inches

Step-by-step explanation:

16-1

The general solution to the given differential equation is z(t) = C1*\(e^{(3t)}\) + C2*\(e^{(-3t)}\)

The given differential equation is a second-order linear homogeneous differential equation, which can be written as:

z'' + z' - 9z = 0

To find the general solution, we first need to solve the characteristic equation:

\(r^2\) + r - 9 = 0

By factoring or using the quadratic formula, we find the roots r1 and r2:

r1 = 3
r2 = -3

Since we have two distinct real roots, the general solution of the differential equation is:

z(t) = C1 * \(e^{(r1t)}\) + C2 * \(e^{(r2t)}\)
z(t) = C1 * \(e^{(3t)}\) + C2 * \(e^{(-3t)}\)

where C1 and C2 are arbitrary constants determined by initial conditions.

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The correct answer is option B. No value of k will make AB = BA

To check whether AB = BA, we need to multiply the matrices AB and BA and see if they are equal.

AB = [ 2 3-1 1] [ 2 9-3 k ]

[ 1 0 2 ] [ 0 0 1 ]

= [ 4 + 3(0) - 2k 18 - 9(0) - 3k ]

[ 0 + 0 + 2 0 + 0 + 1 ]

= [ 4 - 2k 18 - 3k ]

[ 2 1 ]

BA = [ 2 9-3 k ] [ 2 3-1 1]

[ 0 0 1 ] [ 1 0 2 ]

= [ 4 + 27 - 6k 6 - 3k - 3 ]

[ 1 0 ]

= [ 31 - 6k 3 - 3k ]

[ 1 0 ]

For AB = BA, we need to have

4 - 2k = 31 - 6k and 18 - 3k = 3 - 3k

Solving the first equation gives k = 9, and substituting k = 9 into the second equation gives 15 = 0, which is not true. Therefore, there is no value of k that makes AB = BA.

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The population be in 2024 , to the nearest tenth of a million is 397.5

Population after n years equals P x (1+R/100)n if growth is constant at R% per year. 3. If the population is declining at a constant rate of R% annually, the population after n years will be equal to P x (1-R/100)n.

Population after n years equals

P x (1+R/100)n

48.2 * (1 - 49.9)7

397.5

The population be in 2024 , to the nearest tenth of a million is 397.5

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The correct trigonometry expression are

sin 48 = a/c

tan 42 b/a

sin 42 = b/c

cos 48 = b/c

The correct expression is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The right angle triangle is labelled as follows

for angle 48

opposite = a

adjacent = b

hypotenuse = c

for angle 42

opposite = b

adjacent = a

hypotenuse = c

This help us to get the expressions as required

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As h approaches 0, the limit becomes: e(²+0) = e²
The answer is D, e².

The given expression is lim(h→0) (e(2+h) - e²)/h. To find the limit, we can apply L'Hopital's Rule since we have an indeterminate form of the type 0/0. L'Hopital's Rule states that if lim(f(x)/g(x)) as x→a is indeterminate, then it is equal to lim(f'(x)/g'(x)) as x→a, provided the limit exists.

Here, f(h) = e^(²+h) - e^² and g(h) = h. Let's find their derivatives:

f'(h) = d(e(²+h) - e^²)/dh = e^(²+h)
g'(h) = dh/dh = 1

Now, applying L'Hopital's Rule:

lim(h→0) (e(²+h) - e²)/h = lim(h→0) (e²+h))/1

As h approaches 0, the limit becomes:

e(²+0) = e²

So, the answer is D, e².

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Answer:

5

Step-by-step explanation:

3^2 x ( 2 + 3)/ (2+1) x 3

3^2 x 5/3 x 3

9 x 5/ 3x 3

45/9

=5

The better option is to buy the Granola bar.

What is a unit value?

When the expenditures or value of production of an item is divided by the quantity, the result is known as a unit value. The unit value of a set of homogeneous products is the total value of the purchases/sales divided by the sum of the quantities.

To determine which is the better buy, you need to compare the price per granola bar for each option. To do this, you can divide the price of each pack by the number of granola bars it contains.

For the first pack of 100 granola bars, the price per granola bar is $8.67 / 100 granola bars = $0.09 per granola bar.

For the second pack of 50 granola bars, the price per granola bar is $5.48 / 50 granola bars = $0.11 per granola bar.

Since the price per granola bar is lower for the first pack, it is the better buy. You would save money by purchasing the first pack of 100 granola bars instead of the second pack of 50 granola bars.

Hence, the better option is to buy the Granola bar.

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The correct option is 'The domain of both functions is all real numbers'.

According to statement

Here, functions are f(x) = 5x and g(x) =5x

Since the domain of f(x) is, D= { x : x belongs to all real numbers.}

Therefore, Domain of f(x) is all real numbers.

Since f(x) and g(x) have the same value,

Therefore, Domain of g(x) is also the set of real numbers.

Now, range of f(x) is , R=  { 5x : x belongs to all real numbers.}

Therefore, Range of f(x) is all real numbers.

Range of g(x) is also all real numbers.

So, we can say by the above explanation, only option (1) is correct.

DISCLAIMER: The question was incomplete. Please find the full content below.

QUESTION

Keshawn is asked to compare and contrast the domain and range for the two functions.

f(x) = 5x

g(x) = 5x

Which statements could he include in his explanation? Check all that apply.

1. The domain of both functions is all real numbers.

2. The domain of f(x) is x > 5.

3. The domain of g(x) is x > 5.

4. The range of both functions is y > 5.

5. The range of f(x) is y > 0.

6. The range of g(x) is y > 0.

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The given statement "a parallelogram has exactly 1 pair of parallel sides. " is false because a parallelogram has two pairs of parallel sides.

This is one of the defining characteristics of a parallelogram. Opposite sides of a parallelogram are parallel and congruent, meaning they have the same length. The parallel sides are formed by the pairs of opposite sides that do not intersect. This property gives the parallelogram its unique shape and symmetry. If a quadrilateral has only one pair of parallel sides, it would not be classified as a parallelogram.

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Answer:

We are here because we need help with a particular course or question

Step-by-step explanation:

Our goal is to try our best and explain to others to their understanding (and win titles)

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The perimeter of ABC is 30 because the length of each side of ABC is one-third of the sum of the side lengths of the regular octagon and pentagon.



Given, ABC is an equilateral triangle, and abuvwxyz is a regular octagon, and bcmno is a regular pentagon. It's given that the triangle is outside both the octagon and the pentagon but shares a side with each. Let's call the side that ABC shares with the octagon, and pentagon as x.

The perimeter of the octagon is equal to the product of the number of sides and the length of each side of a regular octagon, so the perimeter of the octagon is 8x. Similarly, the perimeter of the pentagon is 5x.

Now, we are given that the perimeter of the whole figure is 160. Therefore,

AB + BC + AC + pentagon perimeter + octagon perimeter = 160

AB + BC + AC + 8x + 5x = 160

AB + BC + AC + 13x = 160

Since ABC is an equilateral triangle, all sides of the triangle are equal. Therefore, we can express each side of ABC as (1/3)(AB + BC + AC), so

AB + BC + AC = 3 (side length of ABC)

Substituting the above equation in the previous equation, we get

3 (side length of ABC) + 13x = 160

3 (side length of ABC) = 160 - 13x

side length of ABC = (160 - 13x) / 3

As ABC is an equilateral triangle, all sides of the triangle are equal, so we can say that each side of ABC is (160 - 13x) / 9.

We are given that the perimeter of ABC is 30. So,

3 (side length of ABC) = 30

(160 - 13x) / 3 = 30

160 - 13x = 90

13x = 70

x = 5.4

Therefore, the length of each side of ABC is (160 - 13x) / 9 = (160 - 13(5.4)) / 9 = 10.

Hence, the perimeter of ABC is 3 × 10 = 30.

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There are 0.375 inches far apart are the rest stops on the new​ map.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A map of a highway has a scale of 2 inches=45 miles.

The length of the highway on the map is 8 inches. There are 17 rest stops equally spaced on the​ highway, including one at each end.

Since, A map of a highway has a scale of 2 inches = 45 miles.

Hence, For 8 inches,

⇒ 45 × 8 / 2

⇒ 180 miles

Since, There are 2 stope at the end.

Hence, There are 16 gaps from each stop.

Since, 1 inch = 30 miles

Hence, 180 miles = 180/30 inches

                            = 6 inches

Thus, We get;

Distance the rest stops on the new​ map is,

⇒ 6 / 16 = 0.375 inches

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The natural breaks, quantile, and equal interval classification schemes are methods used to categorize data for the purpose of creating thematic maps. Each scheme has its own approach and considerations: Natural Breaks, Quantile, Equal Interval.

Natural Breaks (Jenks): This classification scheme aims to identify natural groupings or breakpoints in the data. It seeks to minimize the variance within each group while maximizing the variance between groups. Natural breaks are determined by analyzing the distribution of the data and identifying points where significant gaps or changes occur. This method is useful for data that exhibits distinct clusters or patterns.

Quantile (Equal Count): The quantile classification scheme divides the data into equal-sized classes based on the number of data values. It ensures that an equal number of observations fall into each class. This approach is beneficial when the goal is to have an equal representation of data points in each category. Quantiles are useful for data that is evenly distributed and when maintaining an equal sample size in each class is important.

Equal Interval: In the equal interval classification scheme, the range of the data is divided into equal intervals, and data values are assigned to the corresponding interval. This method is straightforward and creates classes of equal width. It is useful when the range of values is important to represent accurately. However, it may not account for data distribution or variations in density.

In summary, the natural breaks scheme focuses on identifying natural groupings, the quantile scheme ensures an equal representation of data in each class, and the equal interval scheme creates classes of equal width based on the range of values. The choice of classification scheme depends on the nature of the data and the desired representation in the thematic map.

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Answer:

2x²  +  3x  - 1   - 5/(5x +2)

Step-by-step explanation:

               2x²  +  3x  - 1  

             __________________            

  5x + 2 |   10x³ + 19x² + x - 7

             |  -10x³ -   4x²  

             |              15x² + x

             |            - 15x² - 6x  

             |                     - 5x  - 7

             |                      5x   +2

             |                             - 5

2x²  +  3x  - 1   - 5/(5x +2)

Answer:

She will receive $24,000 after paying taxes

Step-by-step explanation:

This question can be solved using a rule of three.

20% of her money has to go to the state for taxes. So she will receive 100-20 = 80%. $30000 is 100% = 1. How much is 80% = 0.8?

$30000 - 1

$x - 0.8

x = 30000*0.8

x = 24000

She will receive $24,000 after paying taxes

Answer: 118

Step-by-step explanation: mere guess

Answer: 331

Step-by-step explanation: