Which expression is a factor of both x^2+5x+6 and x^2+2x-3?
A. x-3
B. x-1
C. x+2
D. x+3

The estimated price for a 500-page book is $5.45  which is evaluated by using 0.05 level of significance.

To check on the off chance that there's a relationship between the number of pages and the bookshelf, we are able to perform a basic straight relapse analysis. 

Using statistical software or a calculator, we can find that the regression equation is:

y = 2.35 + 0.0063x

where y is the price and x is the number of pages.

A theory test can be performed to test whether there's a critical relationship between x and y. 

Null hypothesis:

There is no significant linear relationship between page count and book price.

Alternative hypothesis:

There is a significant linear relationship between page count and book price.

You can compute the t-statistic and corresponding p-value using a significance level of 0.05. With 5 degrees of freedom, the critical t-value is ±2.571.

Computing the t statistic gives:

\(t = (r * sqrt(n - 2)) / sqrt(1 - r^2)\)

where r = correlation coefficient and n = sample size. From the data we found:

r = 0.668

n=7

Plugging in these values ​​gives:

t = (0.668 * square (7 - 2)) / square (1 - 0.668^2) = 2.56

The calculated t-value (2.56) is within the critical t-value (±2.571), so we cannot reject the null hypothesis.

This implies that there's not sufficient proof to conclude that there's a noteworthy straight relationship between book page count and price.

Be that as it may, you'll be able to utilize a relapse condition to assess the cost of a 500-page book.

 y = 2.35 + 0.0063 (500) = $5.45

therefore, the estimated price for a 500-page book is $5.45.

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Answer:

A = 79°

Step-by-step explanation:

CosA = adjacent ÷ hypoteneous

A = Cos^-1(6÷32)

A. =. 79.19°

A= 79°

Answer:

16.7 years

Step-by-step explanation:

Answer: x-4 i think

Step-by-step explanation:

Answer: f^(-1)(x) = 4x (inverse function desired)

Explanation: For if one let f(f^(-1)(x)) = x, (f^(-1)(x))/4 = x, and hence f^(-1)(x) = 4x.

The equation of the line passing through the point (-1,2) with slope m is y = mx + m-2. This is a general equation of the line and we can find different equations by putting different values of m.

We know that when a point and slope of the equation are given, an equation can be written as

\(\frac{y-y_{1} }{x - x_{1} } =m\)

which is known as the slope-point form

where m is the slope of the equation

y1 is the  y coordinate of the given point

x1 is the x coordinate of the given point

In the given question, y1 = 2 and x1 = -1

Substituting the value of coordinates in the slope point equation, we get

\(\frac{y-2}{x-(-1)} = m\)

\(\frac{y-2}{x+1}=m\)

y-2 = mx + m

y = mx + m-2

Hence, the equation of the line passing through the point (-1,2) with slope m is y = mx + m-2.

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What is the equation of the line passing the point (-1, 2) with a slope m?

Answer:

(3, 4)

Step-by-step explanation:

Using elimination method:

3x + 8y = 41

-3(x + 2y = 11)

-3x -6y = -33

2y = 8

y = 4

x = 3 (plug y back into the equation)

(3, 4)

Answer:

\(3x + 8y = 41 - - (1) \\ x + 2y = 11 - - (2) \\ (2) \: x + 2y = 11 \\ x = 11 - 2y - (3) \\ (3)in(1) is \: \: 3(11 - 2y) - 8y = 41 \\ 33 - 6y + 8y = 41 \\ 33 + 2y = 41 \\ 2y = 41 - 33 \\ 2y = 8 \\ y = \frac{8}{2} \\ y = 4 \\ y = 4 \: in \: (2) \: is \: x + 2(4) = 11 \\ x + 8 = 11 \\ x = 11 - 8 \\ x = 3\)

a. The efficiency of Expedition Everest is approximately 87.8%.

b. The utilization of Expedition Everest is approximately 94.7%.

c.  The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.

Given:

Demand = 3,000 riders/hour

Average riders = 1,800 riders/hour

Design capacity = 2,050 riders/hour

Effective capacity = 1,900 riders/hour

a. Efficiency:

Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.

Efficiency = (Average riders / Design capacity) * 100%

= (1,800 / 2,050) * 100%

≈ 87.8%

Therefore, the efficiency of Expedition Everest is approximately 87.8%.

b. Utilization:

Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.

Utilization = (Average riders / Effective capacity) * 100%

= (1,800 / 1,900) * 100%

≈ 94.7%

Therefore, the utilization of Expedition Everest is approximately 94.7%.

c. Capacity Analysis:

To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.

Demand > Effective capacity

3,000 > 1,900

Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.

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Answer:

see explanation

Step-by-step explanation:

(a)

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition when x = 3, y = 18 , then

18 = 3k ( divide both sides by 3 )

6 = k

y = 6x ← equation of proportion

(b)

(i)

when x = 12 , then

y = 6 × 12 = 72

(ii)

when y = 42

42 = 6x ( divide both sides by 6 )

7 = x

Answer:

3p+2-×-4

Step-by-step explanation:

follow me plz please

Answer:

\( \color{magenta} \huge{ \boxed{answer}}\)

hopefully help:)

Step-by-step explanation:

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As Ron said he would spend $400 of his paycheck on these items, it is not reasonable because the total cost of the items is $450, which is $50 more than the amount he planned to spend. So, option A is correct.

As per given information,

Ron want to spend $400.

Ron wants to buy nine items that each cost $50.
To find the total cost of these items, we need to multiply the number of items by the cost of each item .
So,

Total cost of items = 9 x 50  

Total cost of items = 450
This results in a total cost of $450.

This is not reasonable because nine items at $50 each would cost $450

Therefore, option A is correct.

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The type of test being conducted is c. a one-tailed test to the right.

To determine the type of test being conducted, we need to examine the alternative hypothesis.

If the alternative hypothesis is formulated as  μ>150, indicating that we are specifically interested in testing if the population mean is greater than 150, then it is a one-tailed test to the right. The critical region for rejection is in the right tail of the distribution.

On the other hand, if the alternative hypothesis is 150, indicating that we are interested in testing if the population mean is different from 150 (either greater or less than), then it is a two-tailed test. The critical region for rejection is split between both tails of the distribution.

In this case, since the alternative hypothesis is not provided, we assume a one-tailed test to the right based on the given null hypothesis μ=150.

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The accuracy thresholds that apply when a number has been rounded or shortened are known as error intervals. In other words, they represent the range of values that a number may have taken had it not been rounded off or truncated.

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Answer:

Step-by-step explanation:

5(1) + 3 = 5 + 3 = 8

(1,8)

5(3) + 3 = 8 + 3 = 11

(3, 11)

5(9) + 3 = 45 + 3 = 48

(9, 48)

5(10) + 3 = 50 + 3 = 53

(10, 53)

Answer:

Basic Cable Company A= 30x + 75

Basic Cable Company B= 40x

After 7.5 months, it's more economical to go with Company A. Before 7.5 months, Company B is cheaper

Step-by-step explanation:

The 4 physical properties of solutions are:

1) Concentration

2) Solubility

3) Viscosity

4) Transparency

In chemistry, a solution is a homogeneous mixture of two or more substances. The four common physical properties of solutions are:

1) Concentration: The amount of solute present in a given amount of solvent, typically measured in molarity, molality, or mass percentage.

2) Solubility: The maximum amount of solute that can be dissolved in a given amount of solvent at a specific temperature and pressure.

3) Viscosity: The resistance of a fluid to flow, which can be affected by the presence of a solute.

4) Transparency or Opacity: The property of a solution by which it allows light to pass through it or not.

These are the 4 common physical properties of solutions, but there are many other physical properties that can be used to describe solutions depending on the context.

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

x is 8.75

Step-by-step explanation:

cross multiplying

10x = 35(2.5)

10x = 87.5

x = 8.75

The linear function that models the amount left is a = 84 - 16d where 16 is the slope of the equation. At the fourth day, there isn't enough money left for the shirt.

A linear function is a type of mathematical function in which the output is directly proportional to the input. A linear function can be expressed by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.

To solve this problem, we have to write a linear function that shows how much is spent in d number of days.

a)

The linear function is

a = 84 - 16d

a = Total amount left

d = number of days.

b)

The cost of the shirt is $38, at the end of the fourth day, we would have

a = 84 - 16(4)

a = 84 - 64

a = 20

The money left isn't enough

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Answer:

imaginary number

Step-by-step explanation:

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Answer:

a number whose square root is neither negative nor positive is 0

Answer:

It is false that any polygon with two pairs of parallel opposite sides is a parallelogram. Let's understand the answer in detail. Explanation: ... There can be other polygons that have more than 4 sides but have only two pairs of parallel sides, which can't be called a parallelogram.

Step-by-step explanation:false.

a. The flow is physically possible, b. The flow is rotational, c. The velocity potential function is φ(x,y) = x^2y - xt^2 + yt^2, d. The stream function is ψ(x,y) = x^2 - y^2 + 10xyt, e. The flow is not permanent.

a. The flow is physically possible because the velocity field is defined everywhere and is continuous.

b. The flow is rotational because the curl of the velocity field is not zero. The curl of the velocity field is given by:

curl(u,v) = (-2y + 20t, 2x - 20t, 0)

The curl is not zero because the z-component is not zero. This means that the flow has vorticity, which is a measure of how much the fluid is rotating.

c. The velocity potential function is given by:

φ(x,y) = x^2y - xt^2 + yt^2

The velocity potential function is a scalar field that can be used to calculate the velocity field. The velocity field can be calculated using the following formula:

u = -grad(φ)

v = -grad(ψ)

where φ and ψ are the velocity potential functions.

d. The stream function is given by:

ψ(x,y) = x^2 - y^2 + 10xyt

The stream function is a scalar field that can be used to calculate the streamlines of the flow. The streamlines are the curves that are tangent to the velocity field.

e. The flow is not permanent because the velocity field is not time-independent. The velocity field depends on the time variable t. This means that the flow will change over time.

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Answer:

4000!

Step-by-step explanation:

It would be 4000. Hope you get it right!

Using the concept of anti logarithm, from an example given, it is found that the antilog of 0.3712 is 2.3507.

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

\(x = \text{antilog}_by\) means that \(x = b^y\)

\(\text{antilog} 0.3712 = 10^{0.3712} = 2.3507\)

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Answer:

The correct answer is A. \((-11, -9)\).

Step-by-step explanation:

Given that the point is (8,6)

Let this point be A(8,6).

The composition is T3,30 RO,-180º

First translate the point by 3,3.

Let this point becomes A'.

A' is formed by translation of point A by 3,3

i.e.

x coordinate of A' = x coordinate of A + 3 and

y coordinate of A' = y coordinate of A + 3

So, A' (8+3, 6+3)

So, A'(11,9)

Now, a rotation of -180º is applied to point A'.

Let it becomes A''.

By a rotation of -180º,  the coordinate gets changed by 2 quadrants.

A is in 1st quadrant because both x and y coordinates are positive.

A'' will be in 3rd quadrant where both x and y coordinates are negative.

Please refer to the attached image for the graphical representation of A, A' and A''.

So, the answer will be option A. \((-11, -9)\).

9514 1404 393

Answer:

  equals can be substituted anytime anywhere

Step-by-step explanation:

cos(60°) = 1/2, so wherever one appears, the other can be substituted. This is allowed by the substitution property of equality.

__

If you don't substitute at some point, you find the answer to be ...

  x = 10/cos(60°)

Most of us are interested in a numerical value for x, so we prefer that cos(60°) be replaced by a numerical value.

Answer:

b

Step-by-step explanation:

u start at (0,9.5) and with every increasing x value the y value is decreasing by .5 units

Answer:

6.37× 10^ 4 is your answer