Linear or nonlinear:
why?

Answer:

1/6

I apologize if it is wrong.

The repeating decimal 16.666... as a fraction is 50/3.

We have,

Consider

x = 16.6666... ______(1)

Multiply 10 on both sides.

10x = 10 x 16.6666...

10x = 166.666..... ______(2)

Subtract (1) from (2).

10x - x = 166.666..... - 16.666...

9x = 150

x = 150/9

x = 50/3

Thus,

The repeating decimal as a fraction is 50/3.

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(a) The location of the baseball field using rectangular coordinates is (-3,32).

(b) To find the location of the field using polar coordinates, we need to first find the distance r from the origin to the point (-3,32). Using the Pythagorean theorem, we have:

r = sqrt((-3)^2 + 32^2) = 32.28

Next, we need to find the angle theta between the positive x-axis and the line connecting the origin to the point (-3,32). Since the point is in the third quadrant, we know that theta is between 180 and 270 degrees. We can use the tangent function to find theta:

tan(theta) = (opposite side)/(adjacent side) = (-32)/(3)

theta = arctan(-32/3) = 276.87 degrees

Therefore, the location of the baseball field using polar coordinates is (32.28,276.87).
(c) The location of the different ballpark using rectangular coordinates is (-2,-28).
(d) To find the location of the different ballpark using polar coordinates, we need to first find the distance r from the origin to the point (-2,-28). Using the Pythagorean theorem, we have:

r = sqrt((-2)^2 + (-28)^2) = 28.06

Next, we need to find the angle theta between the positive x-axis and the line connecting the origin to the point (-2,-28). Since the point is in the fourth quadrant, we know that theta is between 270 and 360 degrees. We can use the tangent function to find theta:

tan(theta) = (opposite side)/(adjacent side) = (-28)/(-2) = 14

theta = arctan(14) = 83.66 degrees

Therefore, the location of the different ballpark using polar coordinates is (28.06,83.66).

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The equivalent expression is \(3x^4\sqrt{2}\) . Option B

Given the expression

= \(\frac{18x\sqrt{14x^8} }{6\sqrt{7x^4} }\)

Divide the multipliers, we have

= \(\frac{3x\sqrt{14x^8} }{7x^4}\)

Let factorize the numerator in square root

= \(\frac{3x \sqrt{7x^4 * 2x^4} }{7x^4}\)

Eliminate the like factor in both the numerator and denominator

= \(3\sqrt{2x^4}\)

Let's bring forth the 'x' factor, we have

= \(3x^4\sqrt{2}\)

Thus, the equivalent expression \(3x^4\sqrt{2}\) . Option B

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Answer:

x^2 +3x

Step-by-step explanation:

The outer rectangle has an area of

A = l*w = (4x)*(x+2) = 4x^2 +8x

The inner rectangle has an area of

A = (3x+5)*x = 3x^2 +5x

Subtract the inner rectangle from the outer rectangle

Shaded area = 4x^2 +8x - ( 3x^2 +5x)

Distribute the minus sign

                       =4x^2 +8x -  3x^2 -5x

Combine like terms

                       = x^2 +3x

The coordinates of X’ is (4,12)

Dilation means changing the size of an object without changing its shape.

Given that, Line segment XY is located at X(2, 6) and Y(4,8). If the line segments are dilated by a scale factor of 2 with a centre of dilation of

T(0,0).

The rule for a figure dilated by a scale factor k with a centre of dilation (a, b) is;

(x, y) → (k(x-a) + a, k(y-b) + b)

The line segment is dilated by a scale factor of 2 with a centre of dilation of T(0,0)

According to the rule,

(x, y) → (2(x-0) + 0, 2(y-0) + 0)

(x, y) → 2x + 2y

The coordinates of X' are (2, 6)

X(2, 6) → (2*2, 2*6)

X(2, 6) → (4, 12)

Hence, The coordinates of X’ is (4,12)

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Answer:

2

Step-by-step explanation:

1+3(x-1)-2x

Substitute the value of x into the equation:

1 + 3(4-1) -2 (4)

1 + 3(3)- 8

1 + 9 - 8

2

The slope of the line passing through (-3, -1) and (3, 3) is 2/3, which is found using the slope formula that calculates the change in y over the change in x.

To find the slope of the line that contains the points (-3, -1) and (3, 3), we can use the slope formula

slope = (change in y)/(change in x) = (y2 - y1)/(x2 - x1)

Substituting the values of the given points, we get

slope = (3 - (-1))/(3 - (-3))

slope = (3 + 1)/(3 + 3)

slope = 4/6

slope = 2/3

Therefore, the slope of the line that contains the points (-3, -1) and (3, 3) is 2/3.

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We can write an equation for the interior angles, and we will see that x = 13

We want to find the value of x, we can see two adjacent angles on a rectangle, then the sum of these two is equal to 180°, we can write:

3x + 78 + x + 50 = 180

4x + 128 = 180

4x = 180 - 128

4x = 52

x = 52/4 = 13

The value of x is 13.

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If you change the 2H₂ to 3H₂ molecules and balance the equation the equation will produce three molecules of water.

The provided chemical equation is,

2H₂ + O₂ → 2H₂O.

Changing 2H₂ with 3H₂

The chemical equation becomes,

3H₂ + O₂ → 2H₂O.

By doing this, the equation has become completely imbalanced,

So first we will balance it,

3H₂ +3/2O₂ → 3H₂O

Now, there will be 3 molecules of water formed.

As we observe the reaction more closely, we can see that the number of atoms of all the elements are equal on both the sides of the reaction.

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Answer:

Simplified Expression a ) 2n^2 + 7n - 5,

Simplified Expression b ) 8n^2 - 11n - 10,

When n = 3 part a ) 34,

When n = 2 part a ) 17,

When n = 3 part b ) 29,

When n = 2 part a ) 0

Step-by-step explanation:

Consider the " simplification " process at hand;

\(a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5\)

\(b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10\)

For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;

Value of each polonomial;

\(a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17\)

\(b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0\)

Each expression was solved through substitution and algebra.

" Simplified " Solution - See in answer above

* I hope the answer wasn't too confusing, for further information look through my response thoroughly

The total number of coins Latanya has if she has 90 nickels and 150 pennies is 240.

The total number of coins Latanya has if she has n nickels and p pennies is n + p.

Latanya finds some nickels and pennies under the couch cushions.

Latanya has 90 nickels and 150 pennies.

Therefore, the number of coins she has can be calculated as follows:

number of nickels = 90

number of pennies = 150

Therefore,

total number of coins = 150 + 90

total number of coins = 240

If she has n nickels and p pennies, the total coins can be calculated as follows:

number of nickels = n

number of pennies = p

total coins = n + p

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The leapfrog method is commonly used for syndromic surveillance. So, the correct answer is A).

Syndromic surveillance is a type of public health surveillance that monitors and tracks the occurrence of symptoms or health conditions that are associated with a particular disease outbreak. The leapfrog method is a data analysis technique used in syndromic surveillance to detect anomalies or outbreaks in health data.

This method involves comparing the current observed data with the previous data and the expected values. The expected values are calculated based on the previous data and the trends observed. If the observed data deviates significantly from the expected values, then it indicates a possible outbreak or anomaly.

The leapfrog method is particularly useful in detecting outbreaks of infectious diseases, bioterrorism events, and environmental health hazards. It is widely used by public health agencies and surveillance systems to monitor and respond to potential health threats. the correct option is A).

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--The given question is incomplete, the complete question is given below "the leapfrog method is used for which of the following types of surveillance?

syndromic surveillance

Passive surveillance

Sentinel surveillance

Aggregate surveillance "--

Answer:

v= -4

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

If (p - 1) is a factor of f(p) then p(1) = 0

p(1) = \(1^{10}\) + \(1^{8}\) + \(1^{6}\) - \(1^{4}\) - 1² - 1 = 1 + 1 + 1 - 1 - 1 - 1 = 0

Then (p - 1) is a factor of the polynomial

If Carly's bedroom is 15.3ft long and 8.7 ft long then it is necessary to multiply them because you need to find the area of the room so 15.3*8.7= 133.11. We have to do the same for Carter's room so we multiply 14.4 and 9.6 to find the area of the room which is 138.24.

Now that we have both the areas we can compare which room is bigger. Carly's room is 133.11 ft in total and Carter's room is 138.24 ft in total. So it is clear that Carter's room is going to be more expensive to cover with carpet since Carter's room is bigger than Carly's.

Carly:-

Area:-

#Carter

Area:-

Carter's room is expensive

Answer:

11. D. 36

9 * 4 = 36

12. C. 7x-5y

13. B. 5

5(x-2)/(x-2)=5

14. C. 540 deg

For sum of interior angles use (n-2)*180 where n=number of sides

15. A. 70 deg

250-180 (250>180) = 70

16. D. 10

(15+13+11+9+7+5)/6 = 10

17. A. 1050

6050-5000

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

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Answer:

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(1,2)

Step-by-step explanation:

Hope this helps, If it did, then I would really appreciate it if you gave me Brainliest, I only need one more to rank up and it has taken forever to get to where I am currently. Thanks.

Answer : No

◊ YusuCr ◊

Enjoy.

Answer:

they are not equal

Step-by-step explanation:

14/20

Divide the top and bottom by 2

7/10

16/24

Divide the top and bottom by 8

2/3

Getting a common denominator of 30

7/10 *3/3 = 21/30

2/3 *10/10 = 20/30

They are not the same value

The graph of g(x)=(x – 2)²+10 is a translation of the parent function f(x) = x²by² units to the right and 10 units up.

A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.

The graph of the function g(x) = (x-2)² +10 is a transformation of the parent function f(x) = x² that has been shifted 2 units to the right and 10 units up.

To see this, consider the vertex of the graph of g(x), which occurs at the point (2, 10). This vertex represents the minimum value of the function and is located 2 units to the right and 10 units up from the vertex of the parent function f(x), which is at the origin (0, 0). Therefore, we can say that the graph of g(x) is a translation of the graph of f(x) by a vector (2, 10).

Therefore, The graph of g(x) = (x-2)² +10 is a translation of the parent function f(x) = x²by² units to the right and 10 units up. The vertex of g(x) is located at (2, 10), which is 2 units to the right and 10 units up from the vertex of f(x) at (0, 0).

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Answer: 88

Step-by-step explanation:

Answer: 88

Step-by-step explanation: 5x5=25 + 9x7=63 ----> 25+63= 88

In solving the following fraction, step (A) (4/7) × (-2/-1) is wrong and the correct step should be (4/7) × (-2/1).

So, the wrong step will be:

Then, the next step should be:

But, the steps it is given as:

Which makes the error.

Therefore, in solving the following fraction, step (A) (4/7) × (-2/-1) is wrong and the correct step should be (4/7) × (-2/1).

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Answer:

(decimal form 0.5 )(real answer 1/2 )( simplified 2/5 )

Step-by-step explanation:

1/4 x 2 = 2/4 as simplified as 1/2 in fraction form. 1/4 x 2 = 0.5 in decimal form.

have a good day

Answer:

1/2

Step-by-step explanation:

You can rewrite the whole number 2 to be 2/1

Then multiply across; numerator with numerator and denominator with denominator.

1/4 x 2/1 = 2/4

2/4 = 1/2

Since the equation of the curve is

To find the area under the curve we will use the integration

a = 0, b = 2

In integration, we add the power of x by 1 and divide the term by the new power

We will simplify the bracket

Now we will substitute x by 2 and 0, then subtract the values of them

Simplify

The area under the curve is 37 1/3 square units (37.3333)

The answer is (D), the function has at least one zero in the set of complex numbers, is correct.

What is the polynomial function?

A polynomial function is defined as a function in which the highest power of the independent variable is finite. The degree of a polynomial function is equal to the highest power of the independent variable.

In this case, the highest power of x is x^5, so the degree of the function is 5.

Therefore, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

All polynomial functions have at least one zero in the set of complex numbers by the Fundamental Theorem of Algebra. The other answers (A), (B), and (C) are incorrect.

Hence, the answer is (D), the function has at least one zero in the set of complex numbers, is correct.

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The probability of an event and the probability of its complement always sum to 1.

The probability of an event and its complement refers to the likelihood of either the event occurring or its opposite (not occurring). In any probability space, the sum of these two probabilities must always equal 1.

This can be understood using the concept of the sample space, which represents all possible outcomes of an experiment. The event and its complement together cover the entire sample space, leaving no room for other outcomes. Therefore, the sum of their probabilities must account for the entire probability space, which is equal to 1.

In other words, if the probability of an event occurring is P(A), then the probability of its complement (not A) occurring is 1 - P(A). Adding these probabilities together yields 1:

P(A) + P(not A) = P(A) + (1 - P(A)) = 1

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