HELPPPP!!! :) MEEEEEEEEE!!! :)

Answer:

1 -x -2 +2x = 10x -25 -x

Step-by-step explanation:

1-(x+2)+2x = 5(2x-5) - X,

Distribute

1 -x -2 +2x = 10x -25 -x

Answer:

b

Step-by-step explanation:

i just did the test <33

The shaded region represents the third that was eaten.

Also, there's no such thing as leftover brownies

; )

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Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

The dataset, you can use it to identify the points that don't fit the pattern.

The points that don't fit the pattern in a dataset.

The points that don't fit the pattern in a dataset, you can use several methods such as:

Visualization:

Plotting the data on a graph can help you identify the outliers or points that don't fit the pattern.

You can use various graph types such as scatter plots, line graphs, box plots, etc., to visualize the data.

Statistical methods:

You can use statistical methods such as standard deviation, z-score, or regression analysis to identify the outliers or points that don't fit the pattern.

Domain knowledge:

If you have domain knowledge about the dataset, you can use it to identify the points that don't fit the pattern.

If you know that a particular event occurred during a specific period, you can use it to explain the anomaly in the data.

The points that don't fit the pattern, you can investigate why they don't fit the pattern.

It could be due to measurement errors, data entry errors, or a genuine anomaly in the data.

Understanding why certain data points don't fit the pattern can provide insights into the data and improve the accuracy of the analysis.

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Answer: The answer is A

Step-by-step explanation:

i got it right so yeah

25% is the larger circle area is gray.

Area of a Circle: The area of a circle is pi times the radius squared.

To calculate the area of the circle we have the formula:

A = π r²-----(1)

where

A=area

r=radius.

First, we have to analyze the given data, the large circle center o passes through d, so

Gray circle area=π*(radius)^2----(2)

The radius of the smaller circle = OD/2 substitute in (2)

Gray circle area=π*(OD/2)^2

Gray circle area=π*OD^2/4

Larger circle area=π*(radius)2    

radius of the larger circle = OD

larger circle area=π*OD^2  

To know the percentage of a large circle we have a small formula:

gray circle area/large circle area--------(3)

=π*OD^2/4/π*OD^2  

=π*OD^2/4*1/π*OD^2=1/4

=25/100

=25%

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Answer:

$950

Step-by-step explanation:

$700 + $250 = $950

Answer:

695

Step-by-step explanation:

\(17*5*8+15\\=17*40+15\\=680+15\\=695\)

Answer:

D.

Step-by-step explanation:

If y=3(2)-1, then y=6-1, therefore y=5

The area of the composite figure for this problem is given as follows:

131 cm².

The figure is a composite figure, hence the total area of the figure is given by the sum of the areas of each part that compose the figure.

The figure is composed as follows:

Hence the area of the figure is given as follows:

A = 0.5 x 16 x 7 + 4 x 11 + 4 x 1 + 3 x 9

A = 131 cm².

(addition of the areas of all the parts that compose the figure).

The figure is given by the image presented at the end of the answer.

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Answer:

i dont understand

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

You slope is always mx

In point-slope form, your mx is just in factored form. All you need to do is distribute to find m.

Explanation:

We have to multiply -4 by itself 3 times: (-4)³ = (-4)x(-4)x(-4)

The first time we'll have a positive number, because the product of two negative numbers is a positive number:

Now we just have to solve 16x(-4). The result will be a negative number, because the product between a positive and a negative number is negative:

Answer:

(-4)³ = -64

Recall that the slope-intercept form of the equations of a line is:

Taking both equations to their slope-intercept form we get:

Notice that both equations are the same, therefore the system has infinitely many solutions, therefore it is consistent and dependent.

Answer:

Equations:

The system is consistent and dependent.

A solution to the system is (0,-5).

The power series expansion of f(x) is:

f(x) = 2 - (10/11)x + (130/363)x^2 - (12870/1331)x^3 + ... (for |x/11| < 1)

We can use the binomial series to expand the function f(x) = 2(1-x/11)^(2/3) as a power series:

f(x) = 2(1-x/11)^(2/3)

= 2(1 + (-x/11))^(2/3)

= 2 ∑_(n=0)^(∞) (2/3)_n (-x/11)^n (where (a)_n denotes the Pochhammer symbol)

Using the Pochhammer symbol, we can rewrite the coefficients as:

(2/3)_n = (2/3) (5/3) (8/3) ... ((3n+2)/3)

Substituting this into the power series, we get:

f(x) = 2 ∑_(n=0)^(∞) (2/3) (5/3) (8/3) ... ((3n+2)/3) (-x/11)^n

Simplifying this expression, we can write:

f(x) = 2 ∑_(n=0)^(∞) (-1)^n (2/3) (5/3) (8/3) ... ((3n+2)/3) (x/11)^n

Therefore, the power series expansion of f(x) is:

f(x) = 2 - (10/11)x + (130/363)x^2 - (12870/1331)x^3 + ... (for |x/11| < 1)

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Answer:

\(\sqrt{61}\)

Step-by-step explanation:

x = 6 units horizontally

y = 5 units vertically

Use the pythagorean theorem\(\sqrt{x^{2} + y^{2} } = L\)

Plug x and y into the equation, and you will get \(\sqrt{61}\) as the length.

Answer:

7.8 units (which is to the nearest tenth)

Step-by-step explanation:

We apply the Pythagorean Theorem here; the length of the line is the length of the hypotenuse of a triangle whose horizontal leg length is 6 and whose vertical leg length is 5 units.  This Theorem is expressed symbolically as

a^2 + b^2 = c^2.  In this particular case, a = 6, b = 5 and c is to be determined.  Performing the calculations, we get

6^2 + 5^2 = c^2, or:

36 + 25 = 61 = c^2

Taking the positive square root of both sides, we get c = √61 ) exactly,

which rounds off to 7.8 units (to the nearest tenth).

The length of the line is 7.8 units.

we have the inequality

y > -1.25

the solution is the interval (-1.25, infinite)

Note that the number -1.25 is not included in the solution

so

Verify each statement

2) -1.75 is a solution ------> false

3) all the solutions are negative -------> false

Answer:

Step-by-step explanation:

Let's call the two natural numbers x and y. We know that:

x + y = 45 (Equation 1)

xy = 4x^2 (Equation 2)

We can solve Equation 1 for y:

y = 45 - x

Then, we can substitute this into Equation 2:

x(45 - x) = 4x^2

Expanding and simplifying:

45x - x^2 = 4x^2

5x^2 - 45x = 0

We can factor out x:

x(5x - 45) = 0

This gives us two possible solutions: x = 0 or x = 9. Since we are dealing with natural numbers, x cannot be 0. Therefore, x = 9.

We can substitute this back into Equation 1 to find y:

9 + y = 45

y = 36

So the two natural numbers are 9 and 36.

Let's assume that the two natural numbers are x and y, where x is the smaller number.

From the problem, we know that:

x + y = 45 ... (1) (The sum of the two numbers is 45)

xy = 4x^2 ... (2) (The product of the two numbers is four times the square of the lesser number)

We can rearrange equation (1) to get:

y = 45 - x

Substituting this into equation (2), we get:

x(45 - x) = 4x^2

Expanding the left side and simplifying, we get:

45x - x^2 = 4x^2

Rearranging and simplifying further, we get a quadratic equation:

5x^2 - 45x = 0

We can factor out x to get:

x(5x - 45) = 0

So, either x = 0 (which is not a natural number) or 5x - 45 = 0.

Solving for x, we get:

5x - 45 = 0

5x = 45

x = 9

So the smaller number is 9, and using equation (1), we can find that the larger number is:

y = 45 - x = 45 - 9 = 36

Therefore, the two natural numbers are 9 and 36.

Answer: $7.27

Step-by-step explanation:

When multiplying a whole number and a fraction to answer a word problem, Sam wants to buy ten bags at a cost of two-thirds of a dollar each. How much he plans to spend

A word problem in mathematics is a kind of problem that is presented in the form of a sentence. All of the mathematical symbols and operations are represented by words. It is the reader's responsibility to comprehend and convert the mathematical (equation) format.

Sam wants to buy ten bags at a cost of two-thirds of a dollar each. How much he plans to spend?

In conclusion, we may see a written example of a word problem. The problem can be solved by simple multiplications.

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The measure of ∠x is 72 degrees.

If two angles are supplementary, it means that their measures add up to 180 degrees. Let's denote the measure of ∠x as x degrees. Supplementary angles are a pair of angles that, when combined, add up to 180 degrees. In other words, if you have two angles that are supplementary, the sum of their measures will always be 180 degrees.

Given that ∠y measures 108 degrees, we can set up the equation:

∠x + ∠y = 180

Substituting the known value for ∠y, we have:

x + 108 = 180

To find the measure of ∠x, we need to isolate x on one side of the equation. Subtracting 108 from both sides, we get:

x = 180 - 108

x = 72

Therefore, the measure of ∠x is 72 degrees.

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Therefore, 65% of all nurses have a starting salary, z = invNorm(0.35) ≈ -0.3853 and z = (41861.5 - 67694) / 10333 ≈ -2.49.

b) We need to find P(X ≥ 78371.8). To do this, we can standardize the value using the formula z = (x - μ) / σ, where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation. Then we can look up the probability in a standard normal distribution table or use a calculator.

\(z = (78371.8 - 67694) / 10333 \approx 1.04\)

Using a standard normal distribution table or calculator, we find that P(Z ≥ 1.04) ≈ 0.1492. Therefore, the probability that a randomly selected nurse has a starting salary of 78371.8 dollars or more is about 0.1492.

c) We need to find P(X ≤ 91407.1). Again, we can standardize the value and look up the probability in a standard normal distribution table or use a calculator.

\(z = (91407.1 - 67694) / 10333 \approx 2.30\)

Using a standard normal distribution table or calculator, we find that P(Z ≤ 2.30) ≈ 0.9893. Therefore, the probability that a randomly selected nurse has a starting salary of 91407.1 dollars or less is about 0.9893.

d) We need to find P(78371.8 ≤ X ≤ 91407.1). We can standardize the values and use a standard normal distribution table or calculator to find the probability.

z1 = (78371.8 - 67694) / 10333 ≈ 1.04

z2 = (91407.1 - 67694) / 10333 ≈ 2.30

Using a standard normal distribution table or calculator, we find that P(1.04 ≤ Z ≤ 2.30) ≈ 0.4657. Therefore, the probability that a randomly selected nurse has a starting salary between 78371.8 and 91407.1 dollars is about 0.4657.

e) We need to find P(X ≤ 41861.5). Again, we can standardize the value and use a standard normal distribution table or calculator.

z = (41861.5 - 67694) / 10333 ≈ -2.49

Using a standard normal distribution table or calculator, we find that P(Z ≤ -2.49) ≈ 0.0062. Therefore, the probability that a randomly selected nurse has a starting salary that is at most 41861.5 dollars is about 0.0062.

f) Yes, a starting salary of 41861.5 dollars is unusually low for a randomly selected nurse. This is because the probability of getting a starting salary at or below this value is very small, as we calculated in part (e).

g) We want to find the value x such that 65% of all nurses have a starting salary greater than x. This means we need to find the 35th percentile of the distribution, which we can do using a standard normal distribution table or calculator.

z = invNorm(0.35) ≈ -0.3853

Using the formula z = (x - μ) / σ, we can solve for x:

-0.3853 = (x - 67694) / 10333

x - 67694 = -0.3853 * 10333

x ≈ 63757.72

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The given statement "Everyone in this neighborhood owns a car. George lives in this neighborhood. Therefore, George owns a car." is an example of universal instantiation.

Universal instantiation is a valid logical inference rule that allows us to infer a specific instance from a universal statement. It is based on the idea that if a statement applies to every member of a group or category, then it must also apply to a specific individual within that group.

In the given statement, the universal statement is "Everyone in this neighborhood owns a car." This statement asserts that every member of the neighborhood owns a car. By applying universal instantiation, we can infer that George, who is a member of this neighborhood, also owns a car. This inference is valid because George is part of the group described by the universal statement, and thus the statement applies to him as well.

To further understand this concept, let's break down the options provided:

a. Universal instantiation: This is the correct answer. It refers to the process of deriving a specific instance from a universally quantified statement.

b. Existential generalization: This rule allows us to infer the existence of at least one instance based on specific instances. It is not applicable to the given statement.

c. Existential instantiation: This rule allows us to introduce a new instance based on the existence of a specific instance. It is not applicable to the given statement.

d. Universal generalization: This rule allows us to infer a universally quantified statement from specific instances. It is not applicable to the given statement.

In conclusion, the example provided is an instance of universal instantiation because it derives a specific instance (George owning a car) from a universally quantified statement (everyone in the neighborhood owning a car).

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The equation in the given standard form is \((x+10)^2+(y+6)^2=5^2\)

The standard equation of a circle is expressed as:

\((x-a)^2+(y-b)^2=r^2\)

Given the equation \(x^2 + y^2 + 20x + 12y + 111 =0\)

Group the function to have:

\((x^2 +20x)+(y^2+ 12y) + 111 =0\)

Complete the squares to have:

\((x^2 +20x)+(y^2+ 12y) + 111 =0\\(x^2+20x+10^2-10^2)+(y^2+12y+6^2-6^2)+111=0\\(x+10)^2+(y+6)^2 -100-36+111=0\\(x+10)^2+(y+6)^2-25=0\\(x+10)^2+(y+6)^2=25\\(x+10)^2+(y+6)^2=5^2\)

Hence the equation in the given standard form is \((x+10)^2+(y+6)^2=5^2\)

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Answer:

x > - 6

Step-by-step explanation:

\(\frac{x}{2}\) > - 3 ( multiply both sides by 2 to clear the fraction )

x > - 6

Answer:

7) independent-tickets

dependent -money

8) independent -products

dependent-bags

9)independent -weight

dependent -price

10)independent -time preiod of the hike

dependent-snacks

11) independent -no. of mushrooms

dependent -no. of tarts

12)independent -no. of trophies

dependent - no. of shelves

Answer:

There's only one prism? But the answer is 366.

Step-by-step explanation:

39+39+27+27+117+117= 366

Answer:

368

Step-by-step explanation:

There are 9 questions on the test.

Let, the number of multiple-choice questions on the test = m

the number of essay questions on the test = s

m + s = 26  .......(1)

So, We are also told that multiple choice is worth 3 points each, so the total number of points for m questions will be 3m.

As essays are worth 8 points each, so the total number of points for s questions will be 8s.

3m + 8s = 123 .......(2)

Now we will use the substitution method to solve a system of linear equations.

From equation (1) we will get,

m = 26 -s

Substituting this value in equation (2) we will get,

3 * (26- s) + 8s =123

78 - 3s + 8s = 123

5s = 123 -78

5s = 45

s = 45/5 = 9

So, there are 9 questions on the test.

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The complete question is:

Ada’s history teacher wrote a test for the class.

The test is 26 questions long and is worth 123 points.

Ada wrote two equations, where m represents the

number of multiple choice questions on the test, and

s represents the number of essay questions on the test.

m+s= 26

3m + 8s = 123

How many essay questions are on the test?

Answer:

9.7

Step-by-step explanation:

The limit of the sequence is L = 2.

We have,

To find the limit of the given recursively defined sequence, we can use the fact that as n approaches infinity, approaches a common limit value. Let's denote this limit as L.

Given:

a1 = 1

an+1 = 6/(1 + an)

To find the limit, we can set the recursive equation equal to L and solve for L:

L = 6/(1 + L)

Now, let's solve this equation for L:

L(1 + L) = 6

L + L² = 6

L² + L - 6 = 0

Factorizing the quadratic equation, we have:

(L + 3)(L - 2) = 0

This gives us two possible solutions:

L + 3 = 0 -> L = -3

L - 2 = 0 -> L = 2

Since the sequence is defined as an increasing sequence starting from 1, the limit L should be greater than 1.

Therefore,

The limit of the sequence is L = 2.

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The required answer of the sequence with a1 = 1, an+1 = 6/1 + an  is the sequence converges to either -3 or 2.

To find the limit of the recursively defined sequence with a1 = 1 and an+1 = 6/(1 + an), we can assume that the sequence converges and find the value it converges to.

Let's denote the limit as L.

As n approaches infinity, an approaches L, and an+1 also approaches L. Therefore, we can write the recursive equation in terms of the limit L:

L = 6/(1 + L)

To solve for L, we can multiply both sides of the equation by (1 + L):

L(1 + L) = 6

Expanding the left side:

\(L + L^2 = 6\)

Rearranging the equation to a quadratic form:

\(L^2 + L - 6 = 0\)

Factoring the quadratic equation:

(L + 3)(L - 2) = 0

Setting each factor equal to zero:

L + 3 = 0 or L - 2 = 0

Solving for L:

L = -3 or L = 2

Therefore, the sequence converges to either -3 or 2.

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