Determine at which points f(z) = Reſiz) is differentiable by using the limit definition of the derivative

Answer:

Log₆ (A⁵C² / D⁶) = –13

Step-by-step explanation:

From the question given above,

Log₆ A = 1

Log₆ C = 3

Log₆ D = 4

Log₆ (A⁵C² / D⁶) =?

Recall:

Log MN / U = Log M + Log N – Log U

Therefore,

Log₆ (A⁵C² / D⁶) = Log₆ A⁵ + Log₆ C² – Log₆ D⁶

Recall:

Log Mⁿ = nLog M

Thus,

Log₆ A⁵ + Log₆ C² – Log₆ D⁶

= 5Log₆ A + 2Log₆ C – 6Log₆ D

Log₆ A = 1

Log₆ C = 3

Log₆ D = 4

= 5(1) + 2(3) – 6(4)

= 5 + 6 – 24

= 11 – 24

= –13

Therefore,

Log₆ (A⁵C² / D⁶) = –13

The answer is y=15x+20

The value of the t score for a 95% confidence interval if we take a sample of size 7 is 2.447.

Sample Size:

Sample size is a term used in market research to define the number of subjects included in the sample size. Sample size means the group of subjects selected from the general population and considered representative of the actual population for this particular study.

Sample size Formula:

  S = Z² × P × (1 -P) / M²

where,

S = sample size for infinite population

Z = Z score

P = population proportion

M = Margin of error

According to the provided information :-

Confidence level = 95%

Sample size n= 7

Now,

the level of significance α = 1 - 95% = 0.05

Now,

t-score for α = 0.05 and degrees of freedom,

and, n - 1 = 7 -1 =6

So,

t-score = t(0.05/2,6)

            = 2.4469

            = 2.447

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By using percentage, it can be calculated that

Percentage decrease in the screen time for Lora  = 40 %

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. The fraction is called percentage.

For example 9% means \(\frac{9}{100}\). Here 9 is expressed as a fraction of 100

Here, Percentage decrease will be calculated

Screen time for Lora last week = 840 minutes

Screen time for Lora this week = 504 minutes

Decrease in screen time for Lora = (840 - 504) minutes

                                                        = 336 minutes

Percentage decrease in the screen time for Lora = \(\frac{336}{840}\times 100\) = 40 %

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So the system of linear equations representing this situation is A + S = 900 ,4A + 2.50S = 2820.

Let A represent the number of adult tickets sold.

Let S represent the number of student tickets sold.

From the given information the following equations:

Equation 1: The total number of tickets sold is 900.

A + S = 900

Equation 2: The total revenue from adult tickets (at $4 each) plus the total revenue from student tickets (at $2.50 each) is $2820.

4A + 2.50S = 2820

These equations represent the system of linear equations for this situation.

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Answer:

increasing

Step-by-step explanation:

since its positive its an increasing slope

hope this helps <3

Answer:

z=19

Step-by-step explanation:

3(5)=15

15+4=19

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Answer: z = 5/7

Step-by-step explanation:

Answer:

z's exponent = 5

Step-by-step explanation:

the degree of monomial is basically all of the exponents added up

so:

x's exponent + y's exponent + z's exponents = the degree

So:

1+2+z's exponent = 8

(since x to the power of 1 = x)

3+z's exponent = 8

Subtract 3 from each side:

z's exponent = 5

Answer:

33.6

Step-by-step explanation:

Answer:

1 Answer->3

Step-by-step explanation:

To factor this out find the factors of 9 which add up to 6.

3 and 3 work therefore factor it out to

(x+3)(x+3)=0

Using Zero product property x is equal to -3

And there is only one answer which is 3

Answer:

A quadrilateral is a four-sided closed figure with interior angles that add up to 360 degrees. Some common types of quadrilaterals are:

Parallelogram: A quadrilateral with both pairs of opposite sides parallel21.

Trapezoid: A quadrilateral with at least one pair of opposite sides parallel.

Rhombus: A quadrilateral with all four sides congruent and both pairs of opposite sides parallel.

Rectangle: A quadrilateral with four right angles and both pairs of opposite sides parallel.

Square: A quadrilateral with four right angles and all four sides congruent.

Kite: A quadrilateral with two pairs of congruent and adjacent sides1.

Using these definitions, the names of the quadrilaterals in the activity are:

Quadrilateral MATH with no sides are equal.

Name: Scalene quadrilateral (a quadrilateral with no congruent sides or angles).

Quadrilateral HOPE with both pairs of opposite sides are parallel.

Name: Parallelogram.

Quadrilateral LOVE with four right angles.

Name: Rectangle.

Quadrilateral CARE with all four sides congruent.

Name: Rhombus.

Quadrilateral MADE with all four sides congruent and with four right angles.

Name: Square.

Quadrilateral KITE with two pairs of congruent and adjacent sides.

Name: Kite.

Quadrilateral LIKE with exactly one pair of opposite sides parallel.

Name: Trapezoid.

Step-by-step explanation:

Answer:

4. 40°

5.  15

6.

I hope this helps. I don't know the last one.

The expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Two less than the quotient of a number and four, increased by ten.

That can be written as in the form of m will be

\(\rm 2 - \dfrac{m}{4} + 10\)

If the value of m is 12, then we have

\(\rm 2 - \dfrac{m}{4} + 10\\\\\rm 2 - \dfrac{12}{4} + 10\\\\2- 3 + 10\\\\12 - 3 \\\\9\)

Thus, the expression is 2 - m/4 + 10, when m = 12, the value is 9. Then the correct option is C.

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Answer:

D

Step-by-step explanation:

Answer:

X = Y

Step-by-step explanation:

\(\huge {\boxed {\sf A+B+C = 180^o }}\)

\(\huge {\boxed {\sf A+45^o+90^o = 180^o }}\)

\(\huge {\boxed {\sf A+135^o = 180^o }}\)

\(\huge {\boxed {\boxed {\bf A=45^o }}}\)

\(\huge {\boxed {\blue {\sf \cfrac{a}{sin (A) } = c }}}\)

So....

\(\huge {\text {$ \sf \cfrac{x}{sin \: 45^o } = \cfrac{x}{\frac{\sqrt{2} }{2} } = x \cdot \cfrac{2}{\sqrt{2} } = \cfrac{\sqrt{2} }{y } = 2x $}}\)

Remembering that:

\(\huge {\boxed {\sf \bf sin \: 45^o = \cfrac{a}{a\sqrt{5} } = \cfrac{1 }{\sqrt{2} } = \cfrac{\sqrt{2} }{2} }}\)

So:

\(\huge {\boxed {\sf \bf y = 2}}\)

Answer:

Does the answer help you?

Answer:

6/(x + 4)(x - 2)

Step-by-step explanation:

(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3)

12x - 96 = 12(x - 8)

x² - 4x - 32 = (x - 8)(x + 4)

(12x - 96)/(x² - 4x - 32) = 12/(x + 4)

6x² - 6x - 12 = (3x + 3)(2x - 4)

(6x² - 6x - 12)/(3x + 3) = 2x - 4 = 2(x - 2)

(12x - 96)/(x² - 4x - 32) ÷ (6x² - 6x - 12)/(3x + 3) = 12/(x + 4) ÷ 2(x - 2) = 12/(x + 4) × 1/2(x - 2) = 6/(x+4)(x-2)

Answer:

iliterallydontknowfigureitoutyourself

Answer:

x = 19.25

Step-by-step explanation:

The diagonal of a rhombus bisects opposite angles and opposite angles are congruent.  

So, 2x - 1 is the measure of the third angle of the triangle

Therefore, 2x - 1 + 2x - 1 + 4x + 28 = 180 since the sum of the measures of the angles of a triangle is 180

8x + 26 = 180

8x = 154

x = 19.25

Solving an exponential equation, we can see that it will take 14.4 years.

We know that Darin invests $4000 in an account that earns 4.8% annual interest compounded continuously.

The formula for a continuous copound is:

\(f(t) = A*e^{r*t}\)

Where A is initial amount and r is the rate of interest, in this case we have:

A = $4000

r = 0.048

Then the formula is.

\(f(t) = 4000*e^{0.048*t}\)

It will be doubled when f(t) = 8000, then we need to solve:

\(8000 = 4000*e^{0.048*t}\\\\8000/4000 = e^{0.048*t}\\2 = e^{0.048*t}\\\\ln(2) = 0.048*t\\\\t = ln(2)/0.048 = 14.4\)

So it will take 14.4 years.

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Here's a sample program in C++ that satisfies your requirements:

```
#include
using namespace std;

int main() {
 int num;
 cout << "Enter an integer between 0 and 35: ";
 cin >> num;

 if (num <= 9) {
   cout << num << endl;
 } else if (num >= 10 && num <= 35) {
   char letter = static_cast('A' + num - 10);
   cout << letter << endl;
 } else {
   cout << "Invalid input." << endl;
 }

 return 0;
}
```

- The program prompts the user to input an integer between 0 and 35 using the `cout` and `cin` statements.
- The `if` statement checks whether the number is less than or equal to 9. If it is, it outputs the number using the `cout` statement.
- The `else if` statement checks whether the number is between 10 and 35 (inclusive). If it is, it calculates the corresponding letter using the ASCII value for 'A' and the given number. The `static_cast` statement converts the calculated value to a character. Finally, the program outputs the letter using the `cout` statement.
- The `else` statement handles the case when the input is outside the range of 0 to 35. It outputs an error message using the `cout` statement.
- The program ends with the `return 0` statement.

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Answer:

Hey there!

When multiplying fractions, we multiply the numerator by the numerator, and denominator by denominator.

1 x \(\sqrt{3}+1\) = \(\sqrt{3}+1\)

\(\sqrt{3} -1 (\sqrt{3} +1)\) = 2

Thus, the answer is (\(\sqrt{3}+1\))/2

Let me know if this helps :)

Step-by-step explanation:

cluldnt get the answer for one

The expected net payoff E(m) is equal to m + 10.5 and the optimal value of m is 20.

To calculate the expected net payoff, we need to determine the probabilities of stopping at each value from 1 to 20 and calculate the corresponding payoff for each case.

Let's denote the expected net payoff as E(m), where m is the threshold value at which the gambler decides to stop.

(a) To calculate the expected net payoff E(m), we sum the probabilities of stopping at each value multiplied by the payoff for that value.

E(m) = (1/20) * m + (1/20) * (m + 1) + (1/20) * (m + 2) + ... + (1/20) * 20

Simplifying the equation:

E(m) = (1/20) * (m + (m + 1) + (m + 2) + ... + 20)

E(m) = (1/20) * (20 * m + (1 + 2 + ... + 20))

E(m) = (1/20) * (20 * m + (20 * (20 + 1)) / 2)

E(m) = (1/20) * (20 * m + 210)

E(m) = m + 10.5

Therefore, the expected net payoff E(m) is equal to m + 10.5.

(b) To find the optimal value of m, we need to maximize the expected net payoff E(m).

Since E(m) = m + 10.5, we can see that the expected net payoff is linearly increasing with m.

Therefore, the optimal value of m would be the maximum possible value, which is 20.

Hence, the optimal value of m is 20.

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the answer is b lil boy ggggggg

Because studies used in a meta-analysis have typically used different statistical tests, a statistic called effect size is used to put all the results into a common scale.

A meta-analysis is a statistical approach used to synthesize the results of several studies. It is a quantitative study of studies. In other words, it is a method that uses statistical analysis to incorporate the results of multiple clinical studies, which helps to obtain a more precise and reliable estimate of the impact of the intervention.

Effect size is used to combine all the results of the different studies into a common scale because each study might use a different statistical test that is not directly comparable to other studies.What is effect size?Effect size is a numerical value that describes the magnitude of the difference between two groups in a study. It allows researchers to compare the findings from different studies that might use different measurement instruments.

A large effect size implies a significant difference between the two groups in a study. Conversely, a small effect size indicates that there is no meaningful difference between the groups. Effect size is calculated as the standardized difference between the means of two groups divided by their standard deviation (Cohen’s d).

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Answer:

the third one

Step-by-step explanation:

36+ 226h=425, I hope this helps:)

The standard deviation for the dataset (4, 4, 4, 4, 4) is zero (0)

To find a data set with 5 values for which the standard deviation is zero,

⇒ (4, 4, 4, 4, 4)

For the above dataset;

Mean μ = 4

Number of samples n = 5

Standard deviation σ = \(\sqrt{\frac{sumof(xi - x)^2}{n} }\)

                                   = \(\sqrt{\frac{(4-4)^2+(4-4)^2+(4-4)^2+(4-4)^2+(4-4)^2}{5} }\)

                                   = 0

Therefore, for the dataset (4, 4, 4, 4, 4) the standard deviation is zero(0).

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Answer:

$2,000

Step-by-step explanation:

Let the amount of money they want to raise be $20,000.

We are going to look for 10% of $20000 as shown:

10% of 20,000 = 10/100 * 20,000

= 0.1 * 20,000

= 2,000

Hence the 10% of the money they want to raise is $2,000

Note the the money the amount of money they want to raise was assumed.

The two amount of numbers are 11 and 135. 11 is a multiple of 11 and 135 is a multiple of 17. The sum of the two numbers is 146.

Step 1: One of the numbers is a multiple of 11

Let the number be 11x, where x is an integer

Step 2: The total of the two numbers is 146

Therefore, 11x + 17y = 146, where y is an integer

Step 3: Solve the equation

11x + 17y = 146

11x = 146 - 17y

x = (146 - 17y) / 11

Step 4: Find the two numbers

x = (146 - 17y) / 11

For y = 1, x = 11

Therefore, the two numbers are 11 and 17.

The two numbers that add up to 146 are 11 and 135. 11 is a multiple of 11, which means it is divisible by 11 without any remainder. 135 is a multiple of 17, which means it is divisible by 17 without any remainder. When these two numbers are added together, the sum is 146. This means that 11 and 135 are the two numbers that add up to 146. 11 is a multiple of 11 and 135 is a multiple of 17, which explains why the sum of the two numbers is 146. The two numbers together can be used to represent a variety of different mathematical equations, such as the addition of two integers or the multiplication of two fractions. Knowing the two numbers that add up to 146 can be useful in a variety of different scenarios, such as solving math problems or accounting for the total of two items.

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The initial water level is given as follows:

28 units.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

The function for this problem is defined as follows:

n = 4.5t + 28.

The intercept is of b = 28, representing the initial amount of water.

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

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The polygon PQRS satisfies the conditions of being an equilateral polygon, where all sides and angles are equal.

Based on the given information, we can make the following observations about the polygon PQRS:

1. All sides are equal: pq = qr = rs = sp = 12.

2. All angles are equal: ∠p = ∠q = ∠r = ∠s = m.

Therefore, the polygon PQRS satisfies the conditions of being an equilateral polygon, where all sides and angles are equal.

A polygon is a closed geometric shape with straight sides. It is formed by connecting line segments called edges or sides. The sides do not intersect except at their endpoints. The endpoints of the sides are called vertices. Polygons can have different numbers of sides and angles, and they are named based on the number of sides they possess.

Some common examples of polygons include triangles (3 sides), quadrilaterals (4 sides), pentagons (5 sides), hexagons (6 sides), and so on. Polygons can be regular, where all sides and angles are equal, or they can be irregular, where sides and angles may vary.

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