Solve for c.

c+38=113

Enter your answer as a fraction in simplest form in the box.

c =

Answer:

First, let's explain the transformations in a general way:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Horizontal dilation/contraction.

For a function f(x), an horizontal contraction dilation is written as:

g(x) = f(k*x)

where:

k is called the "scale factor"

If k < 1, then the graph "dilates" horizontally.

if k > 1, then the graph "contracts" horizontally.

Now, in this problem we have:

f(x) = log(x)

And the transformed function is:

g(x) = f(0.25*(x - 5)) + 3

Then, the transformations that take place here are, in order:

Vertical shift of 3 units up:

g(x) = f(x) + 3.

Horizontal shift of 5 units to the right:

g(x) = f(x - 5) + 3

Horizontal dilation of scale factor 0.25

g(x) = f( 0.25*(x - 5)) + 3

replacing f(x) by log(x) we have

g(x) = log(0.25*(x - 5)) + 3.

Answer:

1320

Step-by-step explanation:

2/5 + 1/4 = 1320 = 0.65.

Answer:

13 / 20

Step-by-step explanation:

1. Add 2/5 + 1/4 = 2· 4/5 · 4 + 1 · 5/4 · 5 = 8/20 + 5/20 = 8 + 5/20 = 13/20

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 4) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 4 = 20. In the following intermediate step, the fraction result cannot be further simplified by canceling.

In other words - two fifths plus one quarter = thirteen twentieths.

Answer:

it would be only one solution

Step-by-step explanation:

Steps to solve:

k^8 * k

~Since we are multiply k to itself, we just add one to the exponent of 8.

k^8+1

k^9

Best of Luck!

For all vectors v in the vector space V, the expression 0 - v is equal to the additive inverse of v, or -v.

To prove that for all vectors v in a vector space V, and with 0 as the zero vector, the expression 0 - v is equal to the additive inverse of v.

To prove this, we'll follow these steps,

1. Start with the definition of the zero vector in a vector space V.
2. Show that adding the additive inverse of v to both sides of the equation results in the desired expression.

1. Let V be a vector space and 0 be the zero vector. By definition, the zero vector has the property that for all vectors v in V, we have:
  v + 0 = v

2. To find the expression for 0 - v, we first need to determine the additive inverse of v, denoted by -v. The additive inverse of v has the property:
  v + (-v) = 0

Now, let's consider the expression 0 - v. To find this, we can rewrite it as 0 + (-v). Using the property of the zero vector, we know that:

0 - v = 0 + (-v) = -v

Hence, for all vectors v in the vector space V, the expression 0 - v is equal to the additive inverse of v, or -v.

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we know that

Supplementary angles sum 180 degrees

so in this problem

120 and 60and 60

Answer:

5

Step-by-step explanation:

Answer:

22 yards

Step-by-step explanation:

Let x equal the number of yards of ribbon at $.07 per yard:

$18.46 + 0.07x = $20.00

Solve for x

Subtract $18.46 from both sides

0.07x = $1.54

Divide both sides by .07

x = 22

Answer:

IDL

Step-by-step explanation:

45 Answer:

Step-by-step explanation:45

Answer:

45

Step-by-step explanation:

5x9=45

How to get that answer it to count by 5's.

5, 10, 15, 20, 25, 30, 35, 40, 45.

Another way to get there is to count by 9's

9, 18, 27, 36, 45.

A) x⁽³⁻⁴⁾ is the result obtained when x³y is divided by  x⁴y

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that can be simplified or evaluated to obtain a numerical result. An expression can contain constants (numbers that do not change), variables (symbols that represent unknown values), and mathematical operations (such as addition, subtraction, multiplication, and division).

When we divide x³y by x⁴y, we can simplify the result using the rules of exponents to obtain the value 1/x. An expression is a set of elements in mathematics that can be simplified or evaluated to find a numerical result. The division problem x³y/x⁴y can be solved by expressing it as x⁽³⁻⁴⁾ y⁽¹⁻¹⁾ and simplifying to x⁽³⁻⁴⁾, or 1/x.

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Answer:

-2

Step-by-step explanation:

:)

It is important to approach statements like this with caution and consider the complexity of the factors at play in career advancement and leadership positions.

While research may indicate that ethnicity can be a significant barrier to advancement in some cases, it is crucial to recognize that experiences can vary based on individual circumstances, industries, and regions. Gender and ethnicity intersect in complex ways, and the challenges faced by women of different ethnic backgrounds can differ significantly.

It is essential to avoid generalizations and recognize that multiple factors contribute to the barriers individuals face in reaching top leadership positions. These factors can include implicit biases, cultural norms, lack of representation, access to opportunities, networking, and organizational structures. Intersectionality, which considers how different aspects of a person's identity can intersect and create unique experiences, is also a crucial perspective to consider when discussing barriers to advancement.

To fully understand and address the barriers individuals face in reaching top leadership positions, it is necessary to consider a comprehensive range of factors and engage in ongoing research, dialogue, and efforts to promote equity, diversity, and inclusion in the workplace.

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Answer:

d

Step-by-step explanation:

The major variable in this statistics class is considered a nominal variable.

The major variable is considered a nominal level of measurement because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.

In other words, the values assigned to different majors (e.g. Engineering, English, History) do not represent numerical quantities or differences.

The level of measurement of a variable determines the type of statistical analyses that can be conducted with that variable. In this case, the major variable is considered a nominal variable because it represents a categorical characteristic that cannot be ordered or measured in a quantitative manner.

Nominal variables are often used to categorize or group data based on non-numeric characteristics, such as gender, race, or occupation. By collecting data on both GPA and major, the statistics instructor can explore relationships between these variables, such as whether certain majors tend to have higher or lower GPAs.

In conclusion, the major variable in this statistics class is considered a nominal variable.

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Answer:

Here it is

Step-by-step explanation:

Step-by-step explanation:

First we need to remember the rule of PEMDAS and then simplify.

5×10/5+2=12

Multiply

50/5+2=12

Divide

10+2=12

Add

12=12

Find equation of graph

Slope

Equation

Both the equations are equal

Option A

Let (xn) be a sequence of positive real numbers that converges to a positive number. We aim to show that the set {x_n : n ∈ N} is bounded below by a positive number. Since the sequence converges to a positive number, we can choose an ε > 0 such that for all sufficiently large n, |x_n - L| < ε, where L is the limit of the sequence. By considering the inequality x_n > L - ε, we can see that all terms of the sequence are greater than or equal to a positive number, thereby establishing the boundedness from below.

Since the sequence (xn) converges to L, for any ε > 0, there exists a positive integer N such that for all n ≥ N, |x_n - L| < ε. This means that eventually, all terms of the sequence will be arbitrarily close to L.

Now, consider the inequality x_n > L - ε. For all n ≥ N, we have |x_n - L| < ε, which implies L - ε < x_n. Since L and ε are positive, we can rearrange the inequality to get x_n > L - ε.

Therefore, for all n ≥ N, we have x_n > L - ε, and since ε can be chosen to be any positive number, we can conclude that all terms of the sequence (xn) are greater than or equal to L - ε, which is a positive number.

Hence, the set {x_n : n ∈ N} is bounded below by a positive number, as desired.

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Answer:

x = 4.

Step-by-step explanation:

The lengths of the line segments on both sides of the triangle are in the same ratio, so:

3 / 2 = x+2/x

2(x+2) = 3x

2x + 4 = 3x

2x - 3x = -4

-x = -4

x = 4.

Answer:

I got 2.39 but I'm not sure if its right or not

The value of the given expression \(5\frac{9}{10} - (-8\frac{2}{5} )\) is \(14\frac{3}{10}\)

A numerical expression is a mathematical statement involving only numbers and one or more operation symbols.

Given that, an expression, \(5\frac{9}{10} - (-8\frac{2}{5} )\)

On simplifying the expression, we get,

\(=\frac{59}{10} +\frac{42}{5} \\= \frac{59+42}{10} \\= 14 \frac{3}{10}\)

Hence, The value of the given expression \(5\frac{9}{10} - (-8\frac{2}{5} )\) is \(14\frac{3}{10}\)

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The coordinates of the image of the shape A with vertices at (2, 3), (4, 7), (8, 3), and (-2, -5) enlarged by a scale factor 2 with centre of enlargement at (-2, -5) are (0, -1), (2, 1), (4, -1), and (-4, -9).

Given a shape A with vertices at (2, 3), (4, 7), (8, 3), and (-2, -5) and a scale factor of 2 with a centre of enlargement at (-2, -5), the coordinates of the vertices of the image are (0, -1), (2, 1), (4, -1), and (-4, -9).

We can calculate the new coordinates of the vertices by multiplying the scale factor with the differences between the coordinates of the vertices and the coordinates of the centre of enlargement, then adding the coordinates of the centre of enlargement to the product.

For example, the x and y coordinates of the first vertex (2, 3) are (2, 3) and the centre of enlargement is (-2, -5). So, the difference between the two is (2 - (-2), 3 - (-5)) = (4, 8). Multiplying the scale factor 2 with the differences gives (4 * 2, 8 * 2) = (8, 16). Adding the centre of enlargement to the product gives (8 + (-2), 16 + (-5)) = (6, 11). Therefore, the coordinates of the image of the first vertex is (6, 11).

Similarly, for the second, third, and fourth vertices, the coordinates of the image are (4, 5), (8, 1), and (-4, -9) respectively.

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Answer:

Down

Stretched by a factor of 2

Step-by-step explanation:

The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

Given is a function, y = \(\sqrt[3]{x}\) being transformed into y = \(\sqrt[3]{8x} -3\)

We see, that, in the function, 3 is being subtracted from x, we mean the translation is right along the x-axis

And, ∛x is converted into 2∛x, that shows a stretched in the graph,

Hence, The transformed function is translated to the right along the x-axis and stretched by a scale factor of 2.

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Answer:

you were close it was 12.56

Step-by-step explanation:

sorry...

Hence, 4200 square yards is the largest area that may be completely enclosed.

Let's call the width of the blueberry field x and the length y, and let's call the width of the strawberry field z and the length w. We know that one side of each field is formed by the lake, so we can assume that the two fields share a side that is y yards long. The total amount of fencing needed will be the perimeter of both fields, minus the shared side:

240 = 2x + 2y + 2z + w

We can rearrange this equation to solve for w:

w = 240 - 2x - 2y - 2z

To find the total area enclosed by the fields, we need to add the area of the blueberry field (x,y) to the area of the strawberry field (z,w). We can express the area of the strawberry field in terms of x, y, and z, using the fact that the length of the shared side is y:

z w = z(240 - 2x - 2y - 2z)/2

To maximize the total area, we need to find the values of x, y, and z that maximize x y + z w.

We can use the equation for w to eliminate it from the expression for zw, giving:

zw = z(240 - 2x - 2y - 2z)/2 = 120z - zx - zy - zz

Now we can express the total area as:

A = xy + zw = xy + 120z - zx - zy - zz

To maximize A, we can take the partial derivatives of A with respect to x, y, and z, and set them equal to zero:

dA/dx

= y - z

= 0

dA/dy

= x - z

= 0

dA/dz

= 120 - x - y - 2z

= 0

Solving these equations simultaneously gives:

x = y = 60

z = 30

Substituting these values into the equation for w gives:

w = 240 - 2x - 2y - 2z = 60

So the maximum total area that can be enclosed is:

A = xy + zw = (60)(60) + (30)(60) = 4200 square yards

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The first five terms of the sequence \(a_n = 3n/(n+4)\) are:

3/5, 3/4, 9/7, 3/2, 15/9.

What is a sequence?

A sequence in A.P stands for "Arithmetic Progression" which is a sequence of numbers in which each term is the sum of the previous term and a constant called the common difference.

Now the given expression is

To find the first five terms of the sequence \(a_n = 3n/(n+4),\) we need to substitute the values of n from 1 to 5 and solve for \(a_n\).

a1 = 3*1/(1+4) = 3/5

a2 = 3*2/(2+4) = 3/4

a3 = 3*3/(3+4) = 9/7

a4 = 3*4/(4+4) = 12/8 = 3/2

a5 = 3*5/(5+4) = 15/9

Hence, the first five terms of the sequence \(a_n = 3n/(n+4)\) are:

3/5, 3/4, 9/7, 3/2, 15/9.

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To guarantee that at least two students in a class have last names that begin with the same letter, there needs to be a minimum of 27 students in the class. This is because there are 26 letters in the alphabet, so if there are 26 students, it's possible that each student has a different first letter of their last name.

However, when the 27th student is added, there will be at least two students with the same first letter of their last name. To guarantee that at least two students have last names that begin with the same letter, you need a minimum of 27 students in a class. This is because there are 26 letters in the alphabet, and with 27 students, you ensure that at least two of them share the same initial letter in their last names due to the Pigeonhole Principle.

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Answer:

BG = 9

Step-by-step explanation:

Point G is the circumcentre and is equally distant from the triangles three vertices , then

BG = AG = 9