Write the slope of x+y=8

The individuals in this data set are the different apartment complexes: Grand Vistas, Maple Ridge, Old Mill, and Willow Brook.

The individuals in this data set are the different apartment complexes that Camille is comparing. The data provides information on the complex name, number of bedrooms and bathrooms, rent amount, whether rent includes heat, and the amenities offered.

Grand Vistas:

Bedrooms: 2

Bathrooms: 2

Rent: $990

Rent includes heat: No

Amenities: Fitness center, pool

Maple Ridge:

Bedrooms: 2

Bathrooms: 1.5

Rent: $685

Rent includes heat: Yes

Amenities: Fitness center, pool

Old Mill:

Bedrooms: 2

Bathrooms: 1.5

Rent: $790

Rent includes heat: No

Amenities: Pool

Willow Brook:

Bedrooms: 2

Bathrooms: 2

Rent: $885

Rent includes heat: No

Amenities: Jacuzzi

Each apartment complex is represented as an individual in the data set. Camille has collected specific details for each complex, including the number of bedrooms and bathrooms, the rent amount, whether heat is included in the rent, and the amenities provided.

This data set allows Camille to compare different apartment complexes based on these attributes. She can evaluate factors such as rent prices, included amenities, and the presence of heat in the rent. This information will assist Camille in making an informed decision about which apartment complex may be the most suitable for her needs and preferences.

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Answer:

3

Step-by-step explanation:

The distance between Jays hair and the caffe shop is 2.5 km.

Since the mall is located 2.4 kilometers north of jays house and the caffe shop is located 0.7 kilometers east of the mall, both directions are perpendicular. So, the distance between Jays hair and the caffe shop forms the hypotenuse side of this right angled triangle.

So, using Pythagoras' theorem, we find the hypotenuse side of this triangle, L.

Pythagoras' theorem states that the sum of squares of the sides of a right angled triangle equal the square of the hypotenuse side.

So, L = √[(2.4 km)² + (0.7 km)²]

L = √[(5.76 km² + 0.49 km²]

L = √(6.25 km²)

L = 2.5 km

So, the distance between Jays hair and the caffe shop is 2.5 km.

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Answer:

Step-by-step explanation:

Answer:

A^n = [4^n 4^n

0 1]

Step-by-step explanation:

To find the solution for the 2x2 matrix A:

[4 4

0 1] to the nth power = [ ]

We can use matrix multiplication to raise A to the nth power. Let's start with n = 1:

A^1 = [4 4

0 1]

Now, let's solve for A^2 by multiplying A^1 by A:

A^2 = A x A^1

= [4 4 [4 4

0 1] 0 1]

= [16 16

0 1]

Next, let's solve for A^3:

A^3 = A x A^2

= [4 4 [16 16

0 1] 0 1]

= [64 64

0 1]

We can see a pattern emerging:

   A^1 = [4 4

   0 1]

   A^2 = [16 16

   0 1]

   A^3 = [64 64

   0 1]

We can generalize this pattern as follows:

A^n = [4^n 4^n

0 1]

Therefore, the solution for the 2x2 matrix A raised to the nth power is:

A^n = [4^n 4^n

0 1]

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.

In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.

Here we have

- 3x² + 33 = 48x

Keep 'x' terms on one side and constant terms sides on another side

=> - 3x² - 48x = - 33

Divide by - 3 on both sides

=> -3(x² + 4x)/3 = - 33/3  

=> x² + 16x = 11      

Take half of the 'x' term and square it and add on both sides

=> x² + 2(8x) (x) + (8)² = 11 + (8)²  

Which is in the form of x² + 2bx + b² = (x + b)²

=> [x + 8]² = 75

Therefore,

The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75

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Answer:

Step-by-step explanation:

From the summary of the given statistics;

The null and the alternative hypothesis for confirming that the new engine has a mean emission level below the current standard can be computed as follows:

Null hypothesis:

\(H_0: \mu = 0.60\)

Alternative hypothesis:

\(H_a: \mu < 0.60\)

Type I  error: Here, the null hypothesis which is the new engine has a mean level equal to  .6g/ml is rejected when it is true.

Type II error:  Here, the alternative hypothesis which is the new engine has a mean level less than.6g/ml is rejected when it is true.

Similarly;

From , A sample of 64 engines tested yields a mean emission level of = .5 g/mi. Assume that σ = .4.

Sample size n = 64

sample mean \(\overline x\) = .5 g/ml

standard deviation σ = .4

From above, the normal standard test statistics can be determined by using the formula:

\(z = \dfrac{\bar x- \mu}{\dfrac{\sigma}{\sqrt{n}}}\)

\(z = \dfrac{0.5- 0.6}{\dfrac{0.4}{\sqrt{64}}}\)

\(z = \dfrac{-0.1}{\dfrac{0.4}{8}}\)

z = -2.00

The p-value = P(Z ≤ -2.00)

From the normal z distribution table

P -value = 0.0228

Decision Rule: At level of significance ∝ = 0.05, If P value is less than or equal to level of significance ∝ , we reject the null hypothesis.

Conclusion: SInce the p-value is less than the level of significance , we reject the null hypothesis. Therefore, we can conclude that there is enough evidence that a new engine design has reduced the emissions to a level below this standard.

Answer:

1. s + 7 = 9

2. 5r - 4 = 21

3. t - s = 5

4. u + r = 6

5. 11t - 7 = 70

6. 6 + 3u = 9

7. 4r - 10s = 0

8. r with an expnent of 2 +8 = \(r^{2} + 8 = 33\)

9. 30 over r = \(\frac{30}{5}\) =6

10. 2t with an exponent of 2-18 = \((2t)^{2} - 18 = 178\)

Step-by-step explanation:

1. If r = 5, s = 2, t = 7, and u = 1 then,

s + 7  = 2 + 7 = 9

2. If r = 5, s = 2, t = 7, and u = 1 then,

5r - 4  = 5(5) - 4 = 25 - 4 = 21

3. if r = 5, s = 2, t = 7, and u = 1 then,

t - s  = 7 - 2 = 5

4 .If r = 5, s = 2, t = 7, and u = 1 then,

u + r  = 1 + 5 = 6

5. If r = 5, s = 2, t = 7, and u = 1 then,

11t - 7  = 11(7) - 7 = 77 - 7 = 70

6. If r = 5, s = 2, t = 7, and u = 1 then,

6 + 3u = 6 + 3(1) = 6 + 3 = 9

7. If r = 5, s = 2, t = 7, and u = 1 then,

4r - 10s = 4(5) - 10(2) = 20 - 20 = 0

8. If r = 5, s = 2, t = 7, and u = 1 then,

r with an exponent of 2 +8 = \(r^{2} + 8 = 5^{2} + 8 = 25 + 8 = 33\)  

9. If r = 5, s = 2, t = 7, and u = 1 then,

30 over r = \(\frac{30}{r} = \frac{30}{5} = 6\)

10.If r = 5, s = 2, t = 7, and u = 1 then,

2t with an exponent of 2-18 = \((2t)^{2} - 18 = (2.7)^{2} - 18 = (14)^{2} - 18 = 196 - 18 = 178\)

Part A: -5/9, 6/10, -7/11, 8/12

Part B:

Part C: Positive

The given sequence is:

As seen above the sequence is an alternating sequence because it changes in sign

Also, neglecting the sign chnages, we will observe, a common diffference of 1 in the numerator and denominator

a) Therefore, if the pattern continues, the next 4 terms in the sequence are:

-5/9, 6/10, -7/11, 8/12

b)

Without the sign, the explicit equation representing the numerator is calculated below:

1, 2, 3, 4......

The first term, a = 1

The common difference, d = 1

This is an arithmetic sequence

N(n) = a + (n - 1)d

N(n) = 1 + (n - 1)(1)

N(n) = 1 + n - 1

N(n) = n

The explicit equation representing the denominator is calculated below

5, 6, 7, 8........

The first term, a = 5

The common difference, d = 1

D(n) = a + (n - 1)d

D(n) = 5 + (n - 1)(1)

D(n) = 5 + n - 1

D(n) = n + 4

The alternating sequence will include the term below:

Therefore, the explicit equation for f(n) representing the sequence is:

Part C) The sign of f(56) will be:

(-1)^56 = 1

Since this gives us a positive value, the sign of f(56) is positive

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Yes it is rational. Pi is irrational

Answer:

Left tailed.

Step-by-step explanation:

A claim (alternative hypothesis) is set against the null hypothesis.

The claim (alternative hypothesis) of the  golf analyst is that the standard deviation of the​ 18-hole scores for a golfer is  less than 2.1 strokes

Ha: Sd< 2.1

The null hypothesis will be opposite of the alternate hypothesis

H0: sd ≥ 2.1

A test for which the entire rejection region is located in only one of the two tails - either left or right- is called one tailed test.

In the given example the acceptance region is located in the area greater or equal to 2.1 . The rejection region lies to the left and the acceptance region lies to the right.

As the rejection region lies to the left, it is a left tailed test.

Also if the alternative hypothesis contains equality less than it is left tailed.

Answer:

421.4 miles

Step-by-step explanation:

Numner of miles= ($270.79-$17.95)/86 cents

= $252.84/$0.60

=421.4 miles

Solution of the inequality is p < 4.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values.

Given inequality,

3.5p + 14 > 7p

Adding -7p on both sides

3.5p + 14 - 7p > 7p - 7p

-3.5p + 14 > 0

-3.5p > -14

Multiplying -1 on both sides, inequality get reversed.

3.5p < 14

p < 4

Hence, p < 4 is the solution of given inequality.

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The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

Answer:

sin49= 0.7

Step-by-step explanation:

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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The parameters of velvet is length = 7.3 , breadth = 3.65 , h = 14.62.

Define area of rectangle.

Given that,

Area of velvet = 240

2 [2w x w + w x h + h x 2w] + w x 2w = 240

Total surface area + area of top = 240

4\(w^{2}\) + h (2w + w) + 2\(w^{2}\) = 240

h = \(\frac{240 - 6 w^{2} }{2w + w}\)

h = \(\frac{80 - 2w^{2} }{w}\)

v = w x 2w x h

v(w) = 2\(w^{2}\) \((\frac{80 - 2 w^{2} }{w} )\)

v(w) = 160 w - 4 \(w^{3}\)

v'(w) = 160 - 12 \(w^{2}\)

v''(w) = -24 w

For Critical point v'(w) = 0

                  160 - 12 \(w^{2}\) = 0

                                \(w^{2}\) = 160/12

                                 w = \(\sqrt{\frac{40}{3} }\)

At   w = \(\sqrt{\frac{40}{3} }\) , v''(w) = -24 ( \(\sqrt{\frac{40}{3} }\)) < 0 is v maximum

Therefore, length =2 \(\sqrt{\frac{40}{3} }\)

                             = 2 x 3.65

                             = 7.3

Breadth (w) = 3.65, h = 14.62.

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The vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

Given, the constraints of a problem

2x+3y≥12

5x+2y≥15

x ≥ 0

y ≥ 0​

On solving the equations, we get

( 2x + 3y ≥ 12 ) × 2

( 5x + 2y ≥ 15 ) × 3

4x + 6y ≥ 24

15x + 6y ≥ 45

On subtracting, we get

11x ≥ 21

x ≥ 21/11

x = 21/11

On putting the value of x, we get

42/11 + 3y = 12

y = 19/11

Hence, the vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

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Answer: In that picture the slope is increasing

Step-by-step explanation: positive rise and positive run (uphill from left to right)

Answer:

50

Step-by-step explanation:

If everyone scored 50, the average is just 50.

The math would also be:

50 + 50 + 50 + 50 + 50 / 5 = 250 / 5 = 50

Answer:

50

Step-by-step explanation:

In short explanation, since all the students scored the same score, the average will be the that score

Since all students scored 50, the average will be 50.

Proof:

\(50 + 50 + 50 + 50 + 50 = 250\)

\(250 \div 5 = 50\)

Answer:

Step-by-step explanation:

You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.

The reflection across the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

The translation adds the translation vector to the reflected coordinates.

  (x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)

Then the result of both transformations is ...

  (x, y) ⇒ (-x -5, y +2)

For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...

Answer:

x = 11.8

Step-by-step explanation:

Side a = 11.78983

Side b = 3

Side c = 10

Angle ∠A = 120° = 2.0944 rad = 2/3π

Angle ∠B = 12.731° = 12°43'50" = 0.22219 rad

Angle ∠C = 47.269° = 47°16'10" = 0.82501 rad

The answer for x is 11.8

The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

Answer:

3 is the answer

Step-by-step explanation:

cause if u do beldams

The value of d that makes (x - d) a factor of p(x) is d = -5.

Given that we need to find the value of d if (x-d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\).

If (x - d) is a factor of the polynomial \(\mathrm{p(x)= 2x^3 -dx^2+(1-d^2)x+5}\), it means that if we substitute (x = d) into the polynomial, the result should be equal to zero.

In other words, p(d) = 0.

Let's find the value of d by setting p(d) to zero and solving for d:

\(\mathrm{p(d)= 2d^3 -d\cdot d^2+(1-d^2)d+5}\)

To find d, we set p(d) equal to zero:

\(\mathrm{ 2d^3 -d\cdot d^2+(1-d^2)d+5 = 0}\)

Now, let's simplify this equation and solve for d:

0 = 2d³ - d³ - d³ + d + 5

0 = 2d³ - 2d³ + d + 5

0 = d + 5

Now, isolate d:

d = -5

So, the value of d that makes (x - d) a factor of p(x) is d = -5.

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Answer:

5

Step-by-step explanation:

\(\triangle HBK \cong \triangle NBK\) by SAS. Using CPCTC, \(3x=x+10 \implies 2x=10 \implies x=5\).

The net cash inflow from the operating activities is $82,600.

Under Statement of Cash flow, these are activities involved in the primary business operations generally the production and selling of goods and providing services are operating activities. It represents the company's major part of profitability.

Particulars                                                                      Amount

Cash Flow from Operating Activities

Net Income         $82,400

Changes in the working capital:

Increase in accounts receivable ($17200-$15900)    ($1,300)

Decrease  in inventory ($53,100-$52,400)                 $700

Increase in accounts payable ($22,100-$21,300) $800  

Net Cash inflow from operating activities                 $82,600

Missing words "Adjust net income of $82,400 for changes in operating assets and liabilities to arrive at net cash flow from operating activities."

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