5(x + 2) Use Distributive Property to simplify the expression. HELP!!

Answer:

She can refill 2 cages.

Step-by-step explanation:

Since Megan puts 1/3 of a kilogram of bird seed in each bird cage, she can fill 2 cages.

Answer: she can fill 2 times the amount of cages she has.

say: x=the cages

so 2x/ 2 times of the cages

hope this helps! i tried :)

Answer:

40 degrees

Step-by-step explanation:

The value of angle x is 40 degrees. Since we know PA is parallel to BC, PAB should parallel CBA. B is 40 degrees so therefore A is as well.

Using implicit differentiation dz/dt = -34

Differentiation is the process of finding the derivative of a function.

Since x² + y² + z² = 9, dx/dt = 7, and dy/dt = 6, we desire to find dz/dt when (x, y, z) = (2, 2, 1).

Thus, we now differentiate implicitly and also we apply the chain rule, thus we have

x² + y² + z² = 9

d(x² + y² + z²)/dt = d9/dt

dx²/dx × dx/dt  + dy²/dy × dy/dt + dz²/dz × dz/dt = d9/dt

2xdx/dt  + 2ydy/dt + 2zdz/dt = 0

xdx/dt  + ydy/dt + zdz/dt = 0

we now make dz/dt subject of the formula, thus, we have

zdz/dt = -(xdx/dt  + ydy/dt)

dz/dt =  -(xdx/dt  + ydy/dt)/z

Given that

Substituting the values of the variables into the equation, we have that

dz/dt =  -(xdx/dt  + ydy/dt)/z

dz/dt =  -(2 × 7  + 2 × 6)/1

= -(12 + 14)/1

= - 26

So, dz/dt = -26

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The question is incomplete. Here is the complete question

If  x² + y² + z²  = 9, dx/dt = 7, and dy/dt = 6, find dz/dt when (x, y, z) = (2, 2, 1).

Answer:

I think B

Step-by-step explanation:

Here's an example of how you can implement the is Connected method in a Friend class representing a social network:

python

Copy code

class Friend:

   def __init__(self, name):

       self.name = name

       self.connections = set()

   def addConnection(self, friend):

       self.connections.add(friend)

       friend.connections.add(self)

   def removeConnection(self, friend):

       self.connections.remove(friend)

       friend.connections.remove(self)

   def isConnected(self, friend):

       visited = set()

       queue = [self]

       while queue:

           curr_friend = queue.pop(0)

           visited.add(curr_friend)

           if curr_friend == friend:

               return True

           for connection in curr_friend.connections:

               if connection not in visited:

                   queue.append(connection)

       return False

In this implementation, the Friend class has a connections set attribute that stores the references to other friends in the social network. The add Connection and remove Connection methods are used to establish or remove connections between friends.

The is Connected method takes another friend as a parameter and performs a breadth-first search (BFS) to determine if there is a path between the current friend and the given friend. It uses a visited set to keep track of visited friends and a queue to process friends in a breadth-first manner. If the given friend is found during the BFS, the method returns True, indicating that they are connected. If the BFS completes without finding the given friend, it returns False, indicating that they are not connected.

Note that this is a basic implementation, and you can modify or extend it based on your specific requirements or additional functionalities you want to include in your social network.

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Answer is 15 miles

This is because:

1 inch- 5 miles

3 inches- 15 miles

3x5=15 miles

Hope this helps!

Answer:

416.50 pesos

Step-by-step explanation:

Given

Represent the bread with b.

Mayonnaise with m

Ham with h

\(Amount\ Paid = 1000\)

Required

Determine the change

From the question: a loaf costs 22.50

This is represented as:

\(b = 22.50\)

5 loaves will be:

\(5*b = 22.50*5\)

\(5b = 112.50\)

A bottle of Mayonnaise costs 55.50

This is represented as:

\(m = 55.50\)

2 bottles will be:

\(2*m = 55.50*2\)

\(2m = 111\)

Lastly,

1kg of ham costs 240

This is represented as:

\(h =240\)

1.5kg will be:

\(1.5*h =240*1.5\)

\(1.5h =360\)

The cost of the items is:

\(Costs = 5b + 2m + 1.5h\)

This gives:

\(Costs = 112.50 + 111 + 360\)

\(Costs =583.50\)

Her change is calculated as:

\(Change = Amount\ Paid- Cost\)

\(Change = 1000 - 583.50\)

\(Change = 416.50\)

The difference between groups and the sample size makes the results of a study statistically significant.

Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:

The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.

The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.

The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

15 r blue marbles

20- 5 = 15

The mood of the categorical syllogism in example 2 is AIO.

In your example, we have the following premises and conclusion:

1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.

The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).

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Answer:

4√(xy³)

Step-by-step explanation:

8√(x²y⁶)

The above expression can be simplified as follow:

8√(x²y⁶)

Recall:

m√a = a^1/m

Therefore,

8√(x²y⁶) = (x²y⁶)^1/8

Recall:

(aⁿ)^1/m = a^(n/m)

Therefore,

(x²y⁶)^1/8 = x^(2/8)•y^(6/8)

= x^1/4•y^3/4

= (xy³)^1/4

Recall :

a^1/m = m√a

Therefore,

(xy³)^1/4 = 4√(xy³)

Therefore,

8√(x²y⁶) = 4√(xy³)

Step-by-step explanation:

The given box plot answers are,

a) 6

b) 5

c)3

d) 5

What is box plot?

   A suitable graphical representation of the concentration of the data is provided by box plots, often known as box-and-whisker plots or box-whisker plots. They also demonstrate how remote the extreme numbers are from the bulk of the data. Five numbers are used to create a box plot: the minimum value, first quartiles, median, third quartile, and maximum value.

Here in the given box plot middle line value is called median .Then ,

Median = 6

Now the maximum quartile = 8

The minimum quartile = 3

Now IQR is difference between the minimum and maximum quartile.

Then ,

=> IQR = 8-3 =5

Therefore the answers are

a) 6

b) 5

c)3

d) 5

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Answer:

The depth to which a BASE jumper jumps in 3 seconds is 144 feet

Step-by-step explanation:

The details of the Cave of Swallows are;

The depth of the cave = 1,220 ft.

The function that represents the duration, t, in seconds it takes to fall d feet is given as follows;

\(t = \dfrac{1}{4} \cdot\sqrt{d}\)

The distance a BASE jumper jumps in 3 seconds = Required

By substituting t = 3 in the given function, we get;

\(t = 3 = \dfrac{1}{4} \cdot\sqrt{d}\)

Therefore;

4 × 3 = 12 = √d

d = 12² = 144

The distance a BASE jumper jumps in 3 seconds is d = 144 feet.

Answer:

cat

Step-by-step explanation:

Area of a triangle is half the area of a rectangle. The area of the triangle whose base length is 10 ft and the height is 30 ft is 1500 ft².

The area of a triangle is half the area of a rectangle, therefore, it's half the product of the base and height of the triangle.

We know about the formula of the area of a triangle, also, the length of the base(10 ft) and the height(30 ft) of the triangle is given to us, therefore, substitute the values in the formula of the area of the triangle,

\(Area\triangle = \dfrac{1}{2} \times base \times height\)

           \(= \dfrac{1}{2} \times 10\times 30\\\\=1500\rm\ ft^2\)

Hence, the area of the triangle whose base length is 10 ft and the height is 30 ft is 1500 ft².

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The expression  \(sin 2\theta cos\theta + cos 2\theta sin \theta\)  can be rewritten as \(sin \theta (2cos^2 \theta - sin \theta)\) as a trigonometric function of a single-angle measure.

To rewrite the expression \(sin 2\theta cos\theta + cos 2\theta sin \theta\) as a trigonometric function of a single angle measure, we can use trigonometric identities to simplify it.

Using the double angle formula for sine (\(sin 2\theta = 2sin \theta cos \theta\)) and the double angle formula for cosine (\(cos 2\theta = cos^2\theta - sin^2 \theta\)), we can rewrite the expression as:

\(2sin \theta cos^2 \theta - sin^2 \theta cos \theta + sin \theta cos^2 \theta\)

Now, we can factor out \(sin \theta\) and \(cos \theta\):

\(sin \theta (2cos^2 \theta - sin \theta) + cos \theta (sin \theta cos \theta)\)

Simplifying further:

\(sin \theta (2cos^2 \theta - sin \theta) + cos \theta (sin \theta cos \theta)\\= sin \theta (2cos^2 \theta - sin \theta) + cos^2 \theta sin \theta\)

Now, we can rewrite the expression as a trigonometric function of a single angle measure:

\(sin \theta (2cos^2 \theta - sin \theta) + cos^2 \theta sin \theta\\= sin \theta (2cos^2 \theta - sin \theta + cos^2 \theta)\\= sin \theta (cos^2 \theta + cos^2 \theta - sin \theta)\\= sin \theta (2cos^2 \theta - sin \theta)\)

Therefore, the expression  \(sin 2\theta cos\theta + cos 2\theta sin \theta\)  can be rewritten as \(sin \theta (2cos^2 \theta - sin \theta)\) as a trigonometric function of a single angle measure.

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The inequality describing how much she can withdraw is x < 3550

An equation is a expression that shows the relationship between numbers and variables.

Inequalities are used in expression for non equal comparison of variables.

Let x represent the amount of money that can be withdrawn.

Tabitha’s account balance is $3,800. Of this, $750 is for rent. Hence:

Money remaining = 3800 - 750 = 3050

Tabitha wants to keep a balance greater than $500. Hence:

3050 - x > 500

x < 3550

The inequality is x < 3550

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Answer:

Where is the answer choices?

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

Answer:

Hope this helps :D

Step-by-step explanation:

Explanation on picture

In a graph with n vertices, the longest possible walk is achieved by traversing all n vertices without revisiting any vertex. This type of walk is known as a Hamiltonian path.

A Hamiltonian path visits each vertex exactly once, ensuring that it covers the entire graph. The length of the longest possible walk in a graph with n vertices is (n-1) since there are n-1 edges connecting the n vertices in a path.

It is important to note that not all graphs have Hamiltonian paths. The existence of a Hamiltonian path depends on the specific connectivity and structure of the graph.

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Answer:

The surface is 7.4344433322 acording to the exact dynamiter and angle of the pyrmaids

Step-by-step explanation

Im smart like that :)

Answer:

1. 224

2. 424.8

3. 85.4

4. 960

Step-by-step explanation:

I used the triangle calculator :)

hope it helps!

Answer:

Yes.  $21, 165

Step-by-step explanation:

since 385 is greater than 249. as long as theres more than 249

249 x 85 = 21,165

Answer:

No because they only charge 249 unless they hack there bank account........anything is possible.

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

B is the srepresents the slope of a parallel

La ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x. Y el precio en euros de 10 dólares es de 12 €.

La ecuación de la recta que nos da el precio en euros, y, de x dólares se puede hallar utilizando la fórmula de la pendiente de una recta, que es m = (y2 - y1) / (x2 - x1). En este caso, los puntos dados son (3, 3.6) y (7, 8.4).

Primero, calculamos la pendiente de la recta:
m = (8.4 - 3.6) / (7 - 3)

m = 4.8 / 4

m = 1.2

Luego, utilizamos la fórmula de la ecuación de la recta, y = mx + b, para encontrar el valor de b. Podemos utilizar cualquiera de los puntos dados para esto. Usaremos el punto (3, 3.6).

3.6 = 1.2(3) + b
3.6 = 3.6 + b
b = 0

Por lo tanto, la ecuación de la recta es y = 1.2x + 0, o simplemente y = 1.2x.

Esta ecuación nos da el precio en euros, y, de x dólares. Si queremos encontrar el precio en euros de una cierta cantidad de dólares, simplemente sustituimos el valor de x en la ecuación y resolvemos para y. Por ejemplo, si queremos encontrar el precio en euros de 10 dólares, sustituimos x = 10 en la ecuación:

y = 1.2(10) = 12

Por lo tanto, el precio en euros de 10 dólares es de 12 €.

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Answer:

4ln x +ln 3-lnx

4ln x -ln x+ln3

3ln x+ln 3

ln(3x+3)is equivalent.

Answer:

the board is 2.4 ft

Step-by-step explanation:

because 24/10 is 2.4

The total amount of money borrowed is P1 + P2 = $5000.Therefore, Rocco borrowed $1500 at 3% simple interest and $3500 at 2.5% simple interest.

Suppose Rocco borrowed P1 dollars for a loan charging 3% simple interest and P2 dollars for the other loan charging 2.5% simple interest. Therefore the total amount of money borrowed is P1 + P2 = $5000 (equation 1).

At the end of 1 year, the interest paid on the first loan was:P1(3/100) = 0.03P1 dollars .The interest paid on the second loan was:P2(2.5/100) = 0.025P2 dollars. The total interest paid was $132.50. We have:0.03P1 + 0.025P2 = $132.50 (equation 2).

We need to solve this system of linear equations (equations 1 and 2) simultaneously to find the values of P1 and P2. Let us use the substitution method to eliminate P2 and solve for P1.

We know that P2 = $5000 - P1.Substituting this value of P2 in equation 2:0.03P1 + 0.025($5000 - P1) = $132.50

Simplifying the expression:0.03P1 + $125 - 0.025P1 = $132.500.005P1 = $7.50P1 = $1500Therefore, P2 = $5000 - P1 = $5000 - $1500 = $3500.

Therefore, Rocco borrowed $1500 at 3% simple interest and $3500 at 2.5% simple interest.

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The finite population correction factor (FPC) is a factor used when the sample size is more than 5% of the population size. It corrects for the bias that can occur when taking a sample from a finite population.

Applying the FPC to the sample mean results in the standard error for the sample mean being equal to the population standard deviation divided by the square root of the sample size times the FPC.
In other words, the standard error for the sample mean is equal to:
Standard Error = Population Standard Deviation/√(Sample Size*FPC)
The FPC is calculated by taking the reciprocal of the following formula:
FPC = (N-n)/(N-1), where N is the population size and n is the sample size.
In conclusion, applying the FPC to the sample mean reduces the bias that can occur when taking a sample from a finite population, and the resulting standard error for the sample mean is equal to the population standard deviation divided by the square root of the sample size times the FPC.

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If you arrived at a relative's house 45 seconds after leaving home, traveling 90 m, the speed was 2 meters per second.

To find out how fast you traveled, you need to use the formula for speed, which is distance divided by time. In this case, the distance is 90 meters and the time is 45 seconds.

So, you can plug these values into the formula to find your speed:
Speed = Distance / Time
Speed = 90 meters / 45 seconds
Speed = 2 meters per second

Therefore, you traveled at a speed of 2 meters per second. This means that you covered 2 meters in just one second. This is a relatively fast speed, especially if you were walking or running.

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