help me out here! I’ll give you brainliest!!

Byron is 5cm taller than Aaron, but 10cm shorter than Caron. Darren is 10cm taller than Caron, but 5cm shorter than Erin. We are asked to determine which of the following statements is true.

To solve the problem, we can start by setting up a system of equations based on the given information.

Let a represent Aaron's height, and we can express the other heights in terms of a. Then, we get:
Byron's height = a + 5
Caron's height = a + 15
Darren's height = a + 25
Erin's height = a + 30
Now, we can see that the difference in height between Byron and Caron is 10cm. Therefore, we can write:
(a + 5) - (a + 15) = 10
Simplifying this equation gives:
-10 = -10
This is true, so we know that our equations are consistent with the given information.
Next, we can compare Darren's height to Erin's height. We are told that Darren is 5cm shorter than Erin. Therefore, we can write:
(a + 25) - (a + 30) = -5
Simplifying this equation gives:
-5 = -5
In conclusion, we can see that the information given in the problem is consistent, and we have used it to set up a system of equations. We can also see that Darren is shorter than Erin, so the true statement is: "Erin is taller than Darren."

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Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

Answer:The first one is exponential. The second one is absolute value. The last one is linear

Step-by-step explanation:

If absolute value is not an option, call it linear

Answer:

$2.15

Step-by-step explanation:

Since 3 Tomatoes cost $1.29

Then let's first find how much is 1 Tomatoes.

To do that we have to divide Cost by # of Tomatoes

3/1.29 = 0.43

Thus, 1 Tomatoes Cost 0.43

Now, the question is: How much will 5 tomatoes cost?

Therefore, 0.43 * 5 =2.15

Hence, 5 Tomatoes cost $2.15

[RevyBreeze]

Particular solution of the differential equation that satisfies the initial condition f'(s) = 10s - 4s³ , f(3) = 5 is f(s) =  5s² - s⁴ + 41.

We determine the particular solution to the differential equation. We do this by integrating the given differential equation and then applying the given initial condition. The power rule should be used for the given expression.

\(\int\ {x^{a} } \, dx\) = \(\frac{x^{a+1} }{a+1} }\)

we have given that,

f'(s) = 10s - 4s³

f(s) = ∫ f'(s)ds

     = ∫(10s - 4s³)ds

    = \(\frac{10s^{2} }{2} - \frac{4s^{2} }{4}+ C\)

f(s) = 5s² - s⁴ + C

Now we will apply the initial condition,

f(3) = 5

⇒5(3)² - (3)⁴ + C =5

             -36 + C = 5

                       C =41

Therefore the solution is expressed as,

f(s) = 5s² - s⁴ + 41

This is the particular solution.

Given question is incomplete. Complete question is given as:

find the particular solution of the differential equation that satisfies the initial condition(s). f '(s) = 10s - 4s³, f(3) = 5.

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The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.

The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.

If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.

This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.

And is more conservative in its estimation of significance.

If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.

This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.

And is more powerful in detecting significant results in that specific direction.

Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

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Answer:

PR = 2*36 = 72

SU = (1/2)54 = 27

RS = 36

Step-by-step explanation:

By the Midpoint Theorem, the argent that connects midpoints of the sides of a triangle equals half the parallel side. That said,

The formula given in the question is Doughnuts are T=4 B+ 10C.

A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Given:

The given question is Doughnuts are sold in bags and cartoons.

It contains 4 bags of  Doughnuts and cartoon hold 10 Doughnuts.

According to given question we have

Let the total Doughnuts be T.

Let the bags of Doughnuts be B

Let the carton of Doughnuts be C.

1 bags of Doughnuts = B

4 bags of Doughnuts =4 B

1 carton of Doughnuts = C.

10 carton of Doughnuts = 10C.

To write the formula we gave,

T=4 B+ 10C.

Therefore, the formula given in the question is Doughnuts are T=4 B+ 10C.

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Answer:

A: y = -4/5x + 3/2 i believe is the correct answer

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

(x + 2)(x + 3) = (x-2)(x-3) + 10

2x+6=2x-6+10

2x+12=2x+10

x=-2

Answer:

B) 3+8=20-9 & D) 12+7=5+14

Step-by-step explanation:

3 + 8 = 11, 20 - 9 = 11

12 + 7 = 19, 5 + 14 = 19 :)

The equivalent equation to the (x² - 5)² - 3x² + 15 = -2 in form of 'm' is given by option c.  m² -3m + 2 = 0.

The equation is equal to,

(x² - 5)² - 3x² + 15 = -2

let the value of m be equals to x² - 5.

Simplify the equation we have,

⇒ ( x² - 5 )² - 3x² + 15 = -2

Take '3' common factor from the 3x² + 15 so that it get convert into x² - 5 we get,

⇒ ( x² - 5 )² - 3 (x² - 5 )  = -2

Now replace x² - 5 by m to get the equivalent equation,

⇒ ( m )² - 3 (m ) = -2

⇒ m² -3m + 2 = 0

Therefore, the equivalent equation to the given equation is written as option c.  m² -3m + 2 = 0.

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Answer:

11. 10x^2 - 13x - 3

12. 5x^2 + 18x + 5

Step-by-step explanation:

11. Product means multiplication, so you can multiply (5x + 1) and (2x - 3).

\((5x + 1) * (2x - 3)\) - Using the FOIL (First+Outer+Inner+Last)

So: \((5x*2x) + (5x*-3) + (1*2x) + (1*-3)\\10x^{2} -15x + 2x -3\\10x^{2} -13x -3\)

12. \(3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\) (So, you distribute the 2 to x^2 + 5x + 30, then combine like terms).

\(3x^{2} + 8x - 1 + 2(x^{2} +5x + 3)\\3x^{2} + 8x - 1 + 2x^{2} +10x + 6\\(3x^{2} +2x^{2}) + (8x + 10x) + (-1+6)\\5x^{2} + 18x + 5\)

Hopefully, this helped you. Good luck & have a good day!

The Laplace transform of the given equation is s^2X(s) - sx(0) - x'(0) + (2s - 1)X(s) + 2X(s) = 0. By substituting the initial condition x(0) = 0, we can solve for X(s). After obtaining X(s), we can find the inverse Laplace transform to get the solution x(t).

The given differential equation is tx" + (2t - 1)x' + 2x = 0, where x = x(t) and x(0) = 0.

To solve this equation using the Laplace transform, we apply the transform to both sides of the equation.

Taking the Laplace transform of the equation, we have:

L{tx"} + L{(2t - 1)x'} + L{2x} = 0,

Applying the properties of the Laplace transform, we get:

s^2X(s) - sx(0) - x'(0) + (2s - 1)X(s) + 2X(s) = 0,

Substituting x(0) = 0, we simplify the equation to:

s^2X(s) - x'(0) + (2s - 1)X(s) + 2X(s) = 0.

Now, rearranging the equation, we have:

(s^2 + 2s - 1)X(s) = x'(0),

Solving for X(s), we get:

X(s) = x'(0) / (s^2 + 2s - 1).

To find the inverse Laplace transform and obtain x(t), we need to factorize the denominator s^2 + 2s - 1.

The roots of the denominator can be found using the quadratic formula, which are s = (-2 ± √(2^2 - 4(-1))) / 2.

Simplifying further, we have s = -1 ± √2.

Therefore, the partial fraction decomposition of X(s) becomes:

X(s) = x'(0) / ((s - (-1 + √2))(s - (-1 - √2))),

Using the inverse Laplace transform table, we find that the inverse Laplace transform of X(s) is given by:

x(t) = x'(0) * (e^((-1 + √2)t) - e^((-1 - √2)t)).

The solution to the given differential equation, using the Laplace transform, is x(t) = x'(0) * (e^((-1 + √2)t) - e^((-1 - √2)t)), where x'(0) is the derivative of x(t) evaluated at t = 0.

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The box plot that matches the data set is Option A. Looking closely, you'd see that the first boxplot matches the description where 1st quartile is 20, the median is 35 and the 3rd quartile is 45.

A box plot, also   known as a box-and-whisker plot,is a graphical representation of the distribution of a dataset.

It displays the minimum,first quartile, median, third quartile, and maximum values, allowing for the visualization   of the data's central tendency, variability, and potential outliers.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See the attached.

ANSWERS

(a) Table:

(b) For x ≥ 6, the table suggests that f(x) is sometimes less than g(x).

EXPLANATION

(a) To fill in this table, we have to substitute x with each value in the first column and solve,

Repeat this for all values of x and we have the table,

(b) Let's analyze the values obtained in the table:

• For x = 6, f(x) is ,less, than g(x).

• For x = 10, f(x) is ,less, than g(x).

• For x = 11, f(x) is greater than g(x).

• For x = 12, f(x) is greater than g(x).

Hence, the table suggests that for x ≥ 6, f(x) is sometimes less than g(x).

Answer:

The second one.

Step-by-step explanation:

Both intercept twice at 0 and -4.

Answer:

The length of one leg of this right triangle is 4/√2 = 2√2 cm.

Answer:

AB

I hope this helps you

:)

The second option is correct. The domain of the composite function (g o f) (x) is all real numbers except x = 0.

To determine the domain of the composition (g o f)(x), we need to consider the domains of both functions, as well as any restrictions that arise from the composition.

The function f(x) = 3x is defined for all real numbers since there are no restrictions on x.

The function g(x) = 1/x, however, has a restriction. It is not defined for x = 0 because division by zero is undefined.

Thus for the composition (g o f)(x) = g(f(x)):

(g o f)(x) = g(f(x)) = g(3x) = 1/(3x)

Since the function g(x) = 1/x has a restriction at x = 0, it implies that the composition (g o f)(x) = 1/(3x) will also have the same restriction.

Therefore, the domain of the composite function (g o f)(x) is all real numbers except x = 0.

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Answer:

So why are quadratic functions important? Quadratic functions hold a unique position in the school curriculum. They are functions whose values can be easily calculated from input values, so they are a slight advance on linear functions and provide a significant move away from attachment to straight lines.

Step-by-step explanation:

a) (2x¹-6x² +9x+18) divided by (x-1) yields a quotient of -6x² - 4x + 5 and a remainder of 23.

b) The graph of the even function is symmetric about the y-axis.

c) As x approaches infinity, the graph will go up, and as x approaches negative infinity, the graph will go down.

a) Division of (2x¹-6x² +9x+18) by (x-1) using synthetic division is shown below:

1 | -6 2 9 18   (-6 represents the coefficient of the x³ term, 2 represents the coefficient of the x² term, 9 represents the coefficient of the x term, and 18 represents the constant term) -6 -4 5 | 23

Therefore, (2x¹-6x² +9x+18) divided by (x-1) yields a quotient of -6x² - 4x + 5 and a remainder of 23.

b) f(x) = x² - 2x² + 4Even, odd, or neither can be used to describe the symmetry of f(x). Because f(x) = f(-x), f(x) is an even function. The graph of the even function is symmetric about the y-axis.

c) The polynomial function P(x) is of degree 4, and the leading coefficient is positive. As x approaches infinity or negative infinity, the y-value increases indefinitely. As x approaches infinity, the graph will go up, and as x approaches negative infinity, the graph will go down. This is known as the long-run behavior of the polynomial function.

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Answer:

I cant really see it but this will help 100%.

Step-by-step explanation:

Answer:

The quadrilateral formed is a trapezoid

Step-by-step explanation:

In this case, it is necessary to know what points A, B, C, and D.

If the points are equal to the following coordinate points

A (-2, 1)

B (2, 1)

C (3, -2)

D (-3, -2)

As shown in the image the answer would be a trapezoid.

________________________________

The figure cannot be a square, a rhombus or a rectangle since by definition these are:

A square has all sides of equal length and all its right angles.

A rhombus is a parallelogram that has all sides of equal length and all its angles different from right angles.

A rectangle is a parallelogram that has all its right angles.

The figure that we obtain is neither a parallelogram nor does it have all its right angles.

The required answers obtained by using four-color theorem are:

a. The minimum number of colors needed for the cycle graphs C3, C4, C5, and C6 is 3 colors.

b. The pattern observed is that for cycle graphs with an odd number of vertices, the minimum number of colors needed is 3, while for cycle graphs with an even number of vertices, the minimum number of colors needed is 2.

c. For an arbitrary cycle graph, C₁, the minimum number of colors needed depends on whether the number of vertices, n, is odd or even. If n is odd, 3 colors are required, and if n is even, 2 colors are sufficient.

For the cycle graph C3 (a triangle), we can color each vertex with a different color, and no two adjacent vertices share the same color. Hence, we need a minimum of 3 colors.

For the cycle graph C4 (a square), we can also color each vertex with a different color, ensuring that adjacent vertices have different colors. Again, we need a minimum of 3 colors.

For the cycle graph C5 (a pentagon), we cannot color all vertices with unique colors, as it would result in two adjacent vertices sharing the same color. However, we can color three vertices with one color and the remaining two vertices with a different color. Therefore, we still need a minimum of 3 colors.

For the cycle graph C6 (a hexagon), we can observe that it is isomorphic to C3. Thus, we can apply the same coloring scheme used for C3, using 3 colors.

b. The pattern we observe from the given cycle graphs is that the minimum number of colors needed for a cycle graph depends on whether the number of vertices, n, is odd or even.

If n is odd, then the minimum number of colors needed for an arbitrary cycle graph, C₁, is 3 colors. We can use a similar coloring scheme as we did for C5, where we color (n-1)/2 vertices with one color and the remaining (n+1)/2 vertices with a different color. This ensures that no two adjacent vertices share the same color.

If n is even, then the minimum number of colors needed for an arbitrary cycle graph, C₁, is 2 colors. We can simply alternate between two colors along the cycle, ensuring that no adjacent vertices have the same color.

To summarize, the minimum number of colors needed for an arbitrary cycle graph, C₁, depends on whether the number of vertices, n, is odd or even. For odd values of n, we need 3 colors, while for even values of n, we need 2 colors.

Therefore, the required answers obtained by using four-color theorem are:

a. The minimum number of colors needed for the cycle graphs C3, C4, C5, and C6 is 3 colors.

b. The pattern observed is that for cycle graphs with an odd number of vertices, the minimum number of colors needed is 3, while for cycle graphs with an even number of vertices, the minimum number of colors needed is 2.

c. For an arbitrary cycle graph, C₁, the minimum number of colors needed depends on whether the number of vertices, n, is odd or even. If n is odd, 3 colors are required, and if n is even, 2 colors are sufficient.

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Answer:

the answer should be no solution

Answer:

B

Step-by-step explanation:

Given

3(- n + 4) + 5n = 2n ← distribute and simplify left side

- 3n + 12 + 5n = 2n

2n + 12 = 2n ( subtract 12 from both sides )

2n = 2n - 12 ( subtract 2n from both sides )

0 = - 12 ← not possible

This indicates the equation has no solution

Comparing the types of solutions

A n = 3

Indicates that there is only one unique solution to the equation.

B no solutions

This is indicated when you solve and obtain a ridiculous statement, similar to the one obtained in part A, that is

0 = 12

C infinite solutions

This is indicated when you solve the equation and obtain

4 = 4 or - 3 = - 3

Mr. Adam Bought 15 cookies and 10 muffins.

Variables to represent the number of muffins and cookies that Mr. Adam bought. We'll let x be the number of muffins and y be the number of cookies. Then we can set up two equations based on the information given:

Equation 1: x + y = 20   (the total number of muffins and cookies is 20)

Equation 2: 0.5y = 1.5x + 5   (the cost of the cookies is $5 more than the cost of the muffins)

Let's simplify Equation 2 by dividing both sides by 0.5:

y = 3x + 10

Now we can use substitution to solve for one of the variables. We can rearrange Equation 1 to solve for x:

x = 20 - y

Then we can substitute this expression for x in Equation 2:

y = 3(20 - y) + 10

Simplifying this equation, we get:

y = 50 - 3y

Adding 3y to both sides, we get:

4y = 50

Dividing both sides by 4, we get:

y = 12.5

This means that Mr. Adam bought 12.5 cookies. However, we can't have a fraction of a cookie, so let's check whether our solution makes sense in the context of the problem.

If Mr. Adam bought 12.5 cookies, he must have bought 7.5 muffins (since x + y = 20). But we can't have a fraction of a muffin either.

Therefore, it's likely that there was an error in the problem setup. One possibility is that Mr. Adam actually bought a total of 25 muffins and cookies (instead of 20). In this case, the equations would be:

Equation 1: x + y = 25

Equation 2: 0.5y = 1.5x + 5

Following the same steps as before, we would get:

y = 15 and x = 10

Therefore, Mr. Adam bought 15 cookies and 10 muffins.

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Answer:

Step-by-step explanation:

The function h(x) is discontinuous at x = -1.0 and x = 1. Therefore, the appropriate response is:

a) -1.0, 1

Answer:false

Step-by-step explanation:

The variable B, representing the number of businesses Haylee selects that have websites, is a binomial variable.

The variable V, representing the number of times the advertisement appears to get the first person to click on it, is a geometric variable.

The variable T, representing the number of names Akhila draws until she draws an employee's name who does not have pierced ears, is a geometric variable.

In a binomial distribution, the variable represents the number of successes in a fixed number of independent Bernoulli trials, where each trial can result in either success or failure. In this case, Haylee selects 10 businesses, and for each business, she can either select one with a website (success) or one without a website (failure).

In a geometric distribution, the variable represents the number of trials needed to achieve the first success in a sequence of independent Bernoulli trials. In this case, the advertisement appears multiple times, and V represents the number of times it appears until the first person clicks on it.

In summary, B is a binomial variable, V is a geometric variable, and T is also a geometric variable.

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