A new comic book store has 7,200 comic books. If the owners put 90 comic books on each rack, how many racks will they need for all the comic books?

Answer: The expression which is not equivalent to (8 + (n - 4)) is (12+n) and this can be determined by using the arithmetic operations.

Given :

Expression - 8 + (n - 4)

To simplify the given expression following steps can be used:

Step 1 - Rewrite the given expression.

= (n - 4) + 8

Step 2 - Now, remove the parenthesis in the given expression.

= n - 4 + 8

Step 3 - Now, write 8 as the addition of 4 and 4.

= n - 4 + 4 + 4

Step 4 - Subtract 4 by 4.

= n + 4

Given the function:

You need to remember that the Inflection Points of a function are where it changes its concavity.

By definition, a function can have more than one inflection point:

1. You need to find:

Remember the following Derivatives Power Rule:

You get:

2. Find the second derivative by derivating the first derivative. This is:

3. Find the third derivative by derivating the second derivative:

4.Find the roots of the second derivative:

- Set up that:

- And solve for "x":

5. Substitute each root into the third derivative and evaluate:

It is less than zero, therefore there is an inflection point in that x-value.

It is positive output value, therefore there is an inflection point in that x-value.

6. Substitute those x-values into the original function and evaluate:

Therefore, the inflections points are:

Hence, the answer is:

There are two inflection points:

The events are not disjoint.The probability of getting an order from Restaurant A,

or an order that is accurate can be found by adding the probabilities of the two individual events: P(A or Accurate) = P(A) + P(Accurate) - P(A and Accurate).

From the table, we can see that the number of accurate orders at Restaurant A is 334, and the total number of orders at Restaurant A is 334 + 39 = 373. Therefore, P(A) = 373 / (373 + 260 + 241 + 149) = 373 / 1023.

The total number of accurate orders across all restaurants is 334 + 260 + 241 + 149 = 984. Therefore, P(Accurate) = 984 / (373 + 260 + 241 + 149) = 984 / 1023.

The number of orders that are both from Restaurant A and accurate is 334. Therefore, P(A and Accurate) = 334 / (373 + 260 + 241 + 149) = 334 / 1023.

Now we can calculate the probability of getting an order from Restaurant A or an order that is accurate:

P(A or Accurate) = P(A) + P(Accurate) - P(A and Accurate)

                 = 373 / 1023 + 984 / 1023 - 334 / 1023

                 = 1023 / 1023

                 = 1

Therefore, the probability of getting an order from Restaurant A or an order that is accurate is 1, which is equivalent to 100%.

Regarding the question of whether the events of selecting an order from Restaurant A and selecting an accurate order are disjoint events, the answer is no. Disjoint events are mutually exclusive events that cannot occur at the same time.

In this case, it is possible to select an accurate order from Restaurant A, so the events are not disjoint.

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We can write the line's equation as y = 5.

To find the equation:

With the given conditions, we find the equation of the line.

We begin by recognizing that we can write the line's expression in the point-slope form, which is expressed as:

Where \(\left(x_0, y_0\right)\) is the point through which the line passes and m is the slope We have already been given the point:

Which the line passes through.

We now write the line's equation:

\(\begin{gathered}y-y_0=m\left(x-x_0\right) \\y-5=(0)(x-4) \\y-5=0 \\y=5\end{gathered}\)

Therefore, we can write the line's equation as y = 5.

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The complete question is given below:
Find an equation of the line that satisfies the given conditions. Through (4,5), parallel to the x-axis.

Answer:

7 x 1 = 7

7 x 2 = 14

7 x 3 = 21

7 x 4 = 28

7 x 5 = 35

7 x 6 = 42

7 x 7 = 49

7 x 8 = 56

7 x 9 = 63

7 x 10 = 70

7 x 11 = 77

7 x 12 = 84

Answer:

These are the first 50 multiples of 7.

7,14,21,28,35,42,49,56,63,70,77,84,91,98,105,112,119,126,133,140,147,154,161,168,175,182,189,196,203,210,217,224,231,238,245,252,259,266,273,280,287,294,301,308,315,322,329,336,343,350

Step-by-step explanation:

Just keep adding 7 to the previous number to get your answer.

Or if you want a specific answer for a multiple such as the 51st multiple of 7 you can just do 51 x 7 to get your answer. If you want to find out whether a number is a multiple of a number you can simply divide. An example would be 357 / 7 = 51, so 357 is the 51st multiple of 7.

Answer:

a

Step-by-step explanation:

Given

6a + 21 ← factor out 3 from each term

= 3(2a + 7)

The population as an exponential function of time t is given by \(n(t) = 2,000,000 * e^(0.022t)\) when the initial value is 2 million.

The population has a yearly per capita growth rate of 2.2% and the initial value is 2 million, we can express the population as an exponential function using the formula:

\(n(t) = a * e^(rt)\)

In this formula, n(t) represents the population as a function of time t, a is the initial value, e is Euler's number (approximately 2.71828), and r is the annual growth rate expressed as a decimal.

The exponential function for the population with an initial value of 2 million and an annual growth rate of 2.2%, we substitute the given values into the formula:

\(n(t) = 2 * e^(0.022t)\)

To simplify the equation, we can multiply both sides by 1,000,000:

\(n(t) = 2,000,000 * e^(0.022t)\)

Therefore, the population as an exponential function of time t is given by \(n(t) = 2,000,000 * e^(0.022t)\) when the initial value is 2 million.

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Answer:

-2 and 4 maybe

Step-by-step explanation:

h(x) = -7/6x - 25/6.

Given h(-1)=-2 and h(-7)=-9

For linear function h(x), we can use slope-intercept form which is y = mx + b, where m is the slope and b is the y-intercept.

To find m, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

h(-1) = -2 is a point on the line, so we can write it as (-1, -2).

h(-7) = -9 is another point on the line, so we can write it as (-7, -9).

Now we can find m using these points: m = (-9 - (-2)) / (-7 - (-1)) = (-9 + 2) / (-7 + 1) = -7/6

Now we can find b using one of the points and m. Let's use (-1, -2):

y = mx + b-2 = (-7/6)(-1) + b-2 = 7/6 + b

b = -25/6

Therefore, the linear function h(x) is:h(x) = -7/6x - 25/6

We can check our answer by plugging in the two given points:

h(-1) = (-7/6)(-1) - 25/6 = -2h(-7) = (-7/6)(-7) - 25/6 = -9

The answer is h(x) = -7/6x - 25/6.

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Step-by-step explanation:

Answer:

Step-by-step explanation:

Factorize 12 and 24

12 = 2 * 2 * 3

24 = 2 * 2 * 2 * 3

GCF = 2 * 2 * 3 = 12

12 + 24x = 12*1 + 12 * 2 *x

             = 12*(1 + 2x)

The total distance traveled is 14 miles, and the net displacement from the starting point is 4 miles south.

To determine the total distance traveled, we add the distances traveled in each direction. In this case, we walk 9 miles due north and then 5 miles due south. Therefore, the total distance traveled is 9 miles + 5 miles = 14 miles.

Net displacement refers to the change in position or the straight-line distance from the starting point to the final position. Since we walked 9 miles north and then 5 miles south, the net displacement is determined by subtracting the distance traveled in the opposite direction. Thus, the net displacement is 9 miles - 5 miles = 4 miles south.

It's important to note that while the total distance traveled is 14 miles, the net displacement is only 4 miles south. This indicates that even though we covered a total distance of 14 miles, our final position is 4 miles south of the starting point.

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Answer:

8 months

Step-by-step explanation:

194-3m = 217-6m

3m = 23

m=7.666666.....  (8 months

Answer:

D. Vertex: (3, -1); zeros: (2,0), (4,0), y-intercept: (0,8)

Step-by-step explanation:

I used the desmos graphing calculator. Just plug in your equation and it should be pretty easy to find these points

Answer:

Vertex is (3,-1)  zeros ( 4,0) (2,0) and y intercept (0,8)

Step-by-step explanation:

y = x^2 - 6x+8

Factor

y = (x-4) (x-2)

Set = 0 to find the zeros

0 = (x-4) (x-2)

Using the zero product property

x-4 = 0    x-2 =0

x=4   x=2

The vertex is 1/2 way between the zeros

(4+2)/2 = 6/2 = 3

y = (3-4) (3-2)

  -1 (1)

y = -1

Vertex is (3,-1)

The y intercept is at x=0

y = 0-0+8

y =8

Answer:

25%

Step-by-step explanation:

the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

To write the system of ordinary differential equations (ODEs) for the transition probabilities Pᵢⱼ(t) of the given continuous-time Markov chain, we need to consider the rate at which the system transitions between different states.

Let Pᵢⱼ(t) represent the probability that the Markov chain is in state j at time t, given that it started in state i at time 0.

The ODEs for the transition probabilities can be written as follows:

dP₁₂(t)/dt = q₁₂ * P₁(t) - q₂₁ * P₂(t)

dP₁₃(t)/dt = q₁₃ * P₁(t) - q₃₁ * P₃(t)

dP₂₁(t)/dt = q₂₁ * P₂(t) - q₁₂ * P₁(t)

dP₂₃(t)/dt = q₂₃ * P₂(t) - q₃₂ * P₃(t)

dP₃₁(t)/dt = q₃₁ * P₃(t) - q₁₃ * P₁(t)

dP₃₂(t)/dt = q₃₂ * P₃(t) - q₂₃ * P₂(t)

where P₁(t), P₂(t), and P₃(t) represent the probabilities of being in states 1, 2, and 3 at time t, respectively.

Now, let's consider the second part of the question: Suppose that the initial state is 1. We want to find the probability that after the first transition, the process X(t) enters state 2.

To calculate this probability, we need to find the transition rate from state 1 to state 2 (q₁₂) and normalize it by the total rate of leaving state 1.

The total rate of leaving state 1 can be calculated as the sum of the rates to transition from state 1 to other states:

total_rate = q₁₂ + q₁₃

Therefore, the probability of transitioning from state 1 to state 2 after the first transition can be calculated as:

P(X(t) enters state 2 after the first transition | X(0) = 1) = q₁₂ / total_rate

In this case, the transition rate q₁₂ is 1, and the total rate q₁₂ + q₁₃ is 1 + 2 = 3.

Therefore, the probability of transitioning from state 1 to state 2 after the first transition is:

P(X(t) enters state 2 after the first transition | X(0) = 1) = 1 / 3

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Answer:

\(4\frac{1}{6}\)

Step-by-step explanation:

Assumming these 2 triangles are similar we make a ratio for the 2 sides

the side mark 12 corresponds with 10 and x corresponds with 5

10/12=x/5

now cross multiply

10(5)=12x

50=12x

/12. /12

4 2/12=x

4 1/6=x

hopes this helps

Answer:

The solution to the system of equations is:

The graph is attached below.

Step-by-step explanation:

Given the system of equations

\(2y = 2x - 8\)

\(2x + y = 5\)

Let us solve the system of equations using the elimination method

\(\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}\)

Arrange equation variables for elimination

\(\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}\)

Multiply y + 2x = 5 by 2:  2y + 4x = 10

\(\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}\)

subtracting the equations

\(2y+4x=10\)

\(-\)

\(\underline{2y-2x=-8}\)

\(6x=18\)

solve 6x = 18 for x

\(6x=18\)

Divide both sides by 6

\(\frac{6x}{6}=\frac{18}{6}\)

simplify

\(x=3\)

For 2y - 2x = -8  plug in x = 3

\(2y-2\cdot \:3=-8\)

\(2y-6=-8\)

Add 6 to both sides

\(2y-6+6=-8+6\)

Simplify

\(2y=-2\)

Divide both sides by 2

\(\frac{2y}{2}=\frac{-2}{2}\)

Simplify

\(y=-1\)

Therefore, the solution to the system of equations is:

The graph is attached below.

Answer:

a^2 - 5ab

Step-by-step explanation:

[3a * (a-b)] - [2a * (a+b)]

[3a(a) - 3a(b)] - [2a(a) + 2a(b)]

3a^2 - 3ab - (2a^2) - (2ab)

3a^2 - 2a^2 - 3ab - 2ab

a^2 - 5ab

The answer is reasonable because it is positive and also the equation is true . it would take Lara about 5.3 hours to clean the tank by herself.

Let's denote the time it takes for Lara to clean the tank alone as "L". We can use the formula for the combined work rate of two people, which is:

(1/7) + (1/L) = (1/3)

Multiplying both sides by the least common denominator, 21L, gives:

3L + 21 = 7L

Subtracting 3L from both sides, we get:

21 = 4L

Dividing both sides by 4, we get:

L = 5.25 hours (to the nearest tenth)

The answer is reasonable because it is positive, and it is also less than 7 hours, which is Kevin's time. When substituted back into the original equation, we get:

(1/7) + (1/5.25) = (1/3)

0.1429 + 0.1905 = 0.3333

0.3334 ≈ 0.3333

The equation is true, so the answer is reasonable. Therefore, it would take Lara about 5.3 hours to clean.

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Answer:

a≥7

Step-by-step explanation:

you do

6+1=7

a≥7

Answer:

D

Step-by-step explanation:

cosΘ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{r}\)

Answer:

4683

Step-by-step explanation:

Answer: The best prediction possible for the number of times you roll a three is 1/6 of a roll.

Step-by-step explanation:

When you find the statistics of something like rolling a die, you will need to divide how many times you roll the die by how many sides are on the die.

6 - how many times you roll the die

6 - how many sides are on the die

When you divide 6 by 6,  you will get one. Since both of the statistical numbers are the same, you will get an 1/6 chance of rolling a 1, 2, 3, 4, 5, and 6. So 1/6 is the answer! Hope this helps!!!

P.S (I learned this in 5th grade :))

Answer:

320

Step-by-step explanation:

112/35(percent of students)×100=whole 4th

Answer: She would need 188 square inches of wrapping paper .

Step-by-step explanation:

Given:  The base of the box is a rectangle and has a length and width of 4in and 7in respectively.

The height of the box is 6 inches.

Surface area of cuboid = 2(lw+wh+hl) , where l = length , w = width and h = height.

Surface area of box = 2 (4 x 7+ 4 x 6 + 7 x 6)

= 2 (28+24+42)

= 2 (94)

= 188 square inches.

Hence,  she would need 188 square inches of wrapping paper .

Step-by-step explanation:

Ratio of adults to children= 7:3

Total no. Of people at the cricket match:150

To find the value of the ratios, 7x+3x=150 ; 10x=150 ; x=150/10:15

So, 7:3 is 7(15) adults to 3(15) children,

Total no. Of adults: 105

Total no. Of children: 45

So, as per the question, the no. Of children that attended the cricket match is 45

Answer:

Nickels x = 11 and pennies y = 9

Step-by-step explanation:

The equation can be used to determine ounces of pasta are in one serving would be; 3x + 6y = 42

An equation is an expression that shows the relationship between two or more numbers and variables, thus the mathematical equation is a statement with two equal sides and an equal sign in between.

We are given that Anthony cooks 6 servings of a meal containing pasta and meat.

Thus each serving has 3 ounces of meat and a certain amount of pasta. the recipe makes a total of 42 ounces.

We know that since 6 ounces create 6/7 of a serving,

3x + 6y = 42

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The value of standard deviation is 4 .

According to the given problem the main information that can be observed is the value of the MSE

The MSE for the entire analysis is 16.

AUXILIARY INFORMATION:

There are 3 drug treatments.

Each drug has been give to 20 individuals . Hence there are 60 individuals in total.

WORKING THE SUM OUT:

The Mean Square Error (MSE) is calculated by dividing the Error Sum of Squares by the degrees of freedom.

Hence the MSE  represents the variance(σ²).

MSE = σ²

Therefore standard deviation = √Variance  = √MSE = √16 = 4 .

Hence option D will be correct .

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The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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