What is the domain and range of a logarithmic function f/x LOGB X?

Answer: D) 15.7

Step-by-step explanation:

Start with the formula C=2 πr

Then solve for r r=C2π = 98.62·π = 15.69(7)204

The radius of the circle is 15.7 mm.

The route or boundary that encircles any shape in mathematics is defined by the shape's circumference.

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.

We have,

The circumference of Circle = 2πr

Also, The circumference of a circle is 98.596 millimeters.

So, circumference of Circle = 2πr

98.596 = 2πr

98.596 = 6.28r

r= 98. 596 / 6.28

r = 15.7 mm

Thus, the radius is 15.7 mm.

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Given that demand for apples each period follows a normal distribution with a mean of 290 and a standard deviation of 70.

The standard deviation of demand over two periods is the square root of the sum of variances of each period. Since the variance is the square of the standard deviation, the formula for variance over two periods is$$
\begin{aligned}
\operatorname{Var}(2T) &= \operatorname{Var}(T) + \operatorname{Var}(T) \\
&= 2 \operatorname{Var}(T)
\end{aligned}
$$where T is the demand for apples in one period. Here, the standard deviation of demand for apples in one period is σ = 70. Therefore, the standard deviation of demand over two periods is given by$$
\begin{aligned}
\operatorname{SD}(2T) &= \sqrt{2\operatorname{Var}(T)} \\
&= \sqrt{2}\sigma \\
&= \sqrt{2} \times 70 \\
&= \boxed{98.99} \approx 99 \text{ (rounded to two decimal places)}
\end{aligned}
$$Therefore, the standard deviation of demand over two periods is approximately 99.

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The correct answer of the given question that  standard deviation of demand for two periods is 99.00.

Given data:

The mean of the demand for apples is 290, and the standard deviation is 70.

The formula for standard deviation of a sample is:

SD = sqrt[(sum of (Xi - Xbar)^2) / (n - 1)]

where Xi is the individual data value, Xbar is the mean of the sample, and n is the sample size.

Since we don't have the data for the demand in each period, we cannot calculate the standard deviation of the demand for two periods directly.

However, since the standard deviation is a measure of how much the individual data points deviate from the mean, we can use the following formula to calculate the standard deviation of the demand for two periods:

SD2 = sqrt(2) * SD

where SD is the standard deviation of demand for one period.

So,SD2 = sqrt(2) * 70 = 99.00 (rounded to two decimal places)

Hence, the standard deviation of demand for two periods is 99.00.

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7 people can be divided into 2 groups, the first group having 4 people; and the second group having 3 people.

Answers and step-by-step explanation:

First, we add up all the totals for the box tops. This would be 3,750+2,301+1855 which totals to 7,906. Then, we take each individual box top value and divide it by 7,906 to get the fractions. For Mr. Aceves' class, the percentage is 47%, for Mrs. Baca's class, the percentage is 29% and finally for Mr. Canyon's class, the percentage is roughly 24%. This would mean that Mr. Aceves' class should get $282, Mrs. Baca's class should get roughly $174, and Mr. Canyon's class should receive $144.

Hope this helped!!

Answer:

its 3 3/4 :)

Step-by-step explanation:

Answer:

the answer would be 11. bc 2 x 3=6 + 5= 11

U have to substitute the y for 3

Answer:Y = -7

Step-by-step explanation:

As a result of answering the given question, we may state that When we expressions compare the finished square form\(2(x - 1/4)^2 + 143/8\) to the answer alternatives, we see that option \(D: 2(x - 1/16)`^2.\)

In mathematics, an expression is a set of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that expresses a quantity or value. Expressions might be simple, like "3 + 4", or complex, like "(\(3x^2\) - 2) / (x + 1)". They may also include functions such as "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and carrying out the mathematical operations in the given order. For instance, if x = 2, the formula "3x + 5" is 3(2) + 5 = 11. In mathematics, expressions are widely used to explain real-world situations, build equations, and simplify complex mathematical issues.

expression is equivalent -

\(2(x^2 - 1/2x) + 18\\2(x^2 - 1/2x + 1/16 - 1/16) + 18\\2((x - 1/4)^2 - 1/16) + 18\\2(x - 1/4)^2 - 1/8 + 18\\2(x - 1/4)^2 + 143/8\\\)

When we compare the finished square form\(2(x - 1/4)^2 + 143/8\) to the answer alternatives, we see that option \(D: 2(x - 1/16)`^2.\)

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Answer:

Actually, I am not sure about the Ans of 6 no.

please mark me brilliant

The lines can divide the plane such that :

General position means that no two lines are parallel and no three lines intersect at a single point. When lines are in general position, we can count the number of bounded and unbounded regions they divide the plane.

The plane is divided into 2 unbounded and 0 bounded sections by 1 line. The plane is divided into 1 bounded and 4 unbounded sections by 2 lines. The plane is divided into 4 bounded and 6 unbounded sections by 3 lines. The plane is divided into 11 bounded and 8 unbounded sections by 4 lines.

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Answer:

The linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store is:

Step-by-step explanation:

Mark has already earned some amount x. Lets find it using the number of hours worked and the total amount after this:

This amount represents an initial value or the y-intercept of the line and the payment per hour represents the slope of same line.

We know the equation of line in slope-intercept form:

Plug in the values and variables to get the linear equation for the earned amount:

Mark's m earned this summer after working h hours at the grocery store is represented by the linear equation: m = 9.5h + 140.

Given

Earning per hour = $9.50,

Worked hours = 16,

Total earning = $292,

Mark has earned some amount initially for mowing lawns.

Linear equation of amount of money m after working h hours

Mark has already earned some amount x.

Lets find it using the number of hours worked and the total amount after this:

16 × 9.50 + x = 292

Simplifying the above equation then we get,

152 + x = 292

x = 292 - 152

x = 140

This amount represents the line's initial value or y-intercept, and the payment per hour represents the slope of the same line.

The slope-intercept equation of a line is as follows:

y = mx + b, where y is the line, m is the slope, and b is the y-intercept

To obtain the linear equation for the earned amount, enter the values and variables as follows:

∴ m = 9.5h + 140

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Answer:

g(x)=1/3x +7

Step-by-step explanation:

replace where there is g(x) with any number in the grid of box below g(x) ... and replace where there is x in the equation with the same alternate number you picked. so if you picked 8 as g(x) then pick 3 as your x.

substitute these numbers in each equation and after solving if the left side is equal to the right side then that's the equation needed.

g(x) = 1/3x + 7

8= 1/3(3) +7

8=1+7

8=8.

hence, option A is correct.

True. Variables employed in a regression model can be both quantitative and qualitative.

Quantitative variables represent numerical data, while qualitative variables represent non-numerical data that fall into distinct categories or groups. Including both types of variables in a regression model allows for examining the relationship between the dependent variable and various predictors.

In regression analysis, variables used in the model can be quantitative or qualitative. Quantitative variables, also known as continuous variables, are measured on a numeric scale and represent quantities or magnitudes. Examples include age, income, temperature, or height. These variables can be used as predictors in regression models to analyze their impact on the dependent variable.

On the other hand, qualitative variables, also known as categorical or discrete variables, represent non-numeric data that fall into distinct categories or groups. Examples include gender, ethnicity, occupation, or education level. These variables can also be used in regression models by encoding them as dummy variables or indicator variables, allowing for the examination of their relationship with the dependent variable.

Including both quantitative and qualitative variables in a regression model provides a comprehensive analysis of the factors that influence the dependent variable. It allows for understanding the impact of numerical factors as well as the categorical characteristics on the outcome variable, facilitating a more thorough understanding of the relationship being studied.

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Answer:

1,493

Step-by-step explanation:

7645/5=1493

Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Confidence interval will be between $831.57 and $1040.67.

To find a confidence interval for the population standard deviation, we can use the formula:

(sample standard deviation / square root of sample size) x t-multiplier

where t-multiplier is based on the degree of confidence and the sample size.

For a 98% confidence interval and a sample size of 9, the t-multiplier is 2.821 (from a t-table or a calculator with a t-distribution function).

So the confidence interval for the population standard deviation is:

(886 / sqrt(9)) x 2.821 = (886 / 3) x 2.821 = 295.33 x 2.821

                                                                  = 831.57 to 1040.67

Therefore, we can be 98% confident that the population standard deviation of the annual earnings of college students falls between $831.57 and $1040.67.

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Answer:

I watched cobra Kai and loved it. Still waiting on Netflix new season. Watched to where Miyagi-do and Eagle Fang members joined up. So wonderful that Demetrius and Hawk made up.

Step-by-step explanation:

Hope this helps.

Answer:

Yes i have watched the show.

The total cost  of he meat with tax and tip is $ 22.42

To calculate the total cost with tax and tip, we need to follow these steps:

multiply the meal cost by the tip rate. when  the tip rate is 18%, we have:

Tip amount = $19.00 * 0.18 = $3.42

Add the meal cost, sales tax, and tip amount to get the total cost:

Total cost = Meal cost + Sales tax + Tip amount

= $19.00 + $3.42

= $ 22.42

Therefore, the total cost with tax and tip is $22.42

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The equation that represents the growth or change in the population is p = p =254.9t + 38,655 and it will take 44.5 years to reach 50,000 people.

First, let's determine the growth per year:

41,204 people - 38, 655 people= 2,549 people/ 10 years = 254.9 people per year. Now, based on this, we can write the equation as follows : 254.9t + 38,655 (initial population)

Now, let's calculate the value of t when p is 50,000:

50,000 = 254.9t + 38,655

50,000 - 38,55= 254.9t

11,345/ 254.9= t +

t= 44.5 years

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Answer:

4(9a - 4)

Step-by-step explanation:

Answer:

4(9a - 4)

Step-by-step explanation:

Given

36a - 16 ← factor out 4 from each term

= 4(9a - 4)

Answer:

3.5 ounces

Step-by-step explanation:

8.32 / 8 = 1.04

1 ounce is $1.04

3.64 / 1.04 = 3.5

The final value is 4 (mod5)

Hence, 17^342 ≡ 2^342 ≡ 4 (mod5).

To find 5^903 (mod60), we can use Euler's totient function. Since 60 = 2^2 × 3 × 5, we have φ(60) = 2^1 × 3^1 × 4 = 24. Therefore, we can use Euler's theorem to write:

5^24 ≡ 1 (mod60)

Raising both sides to the power of 37, we get:

5^(24*37) ≡ 1^37 ≡ 1 (mod60)

So 5^888 ≡ 1 (mod60).

Now, we can write:

5^903 = 5^888 * 5^15

Since 5^888 ≡ 1 (mod60), we just need to find 5^15 (mod60).

To do this, we can use the repeated squaring method. Writing 15 in binary form, we have:

15 = 1111 (in binary)

So we can compute:

5^1 ≡ 5 (mod60)

5^2 ≡ 25 (mod60)

5^4 ≡ 25^2 ≡ 25 (mod60)

5^8 ≡ 25^2 ≡ 25 (mod60)

Therefore:

5^15 ≡ 5^8 * 5^4 * 5^2 * 5^1 ≡ 25 * 25 * 25 * 5 ≡ 25 (mod60)

Hence, 5^903 ≡ 5^15 ≡ 25 (mod60).

To find 17^342 (mod5), we can use the fact that 17 ≡ 2 (mod5). Therefore:

17^342 ≡ 2^342 (mod5)

Using the repeated squaring method again, we can compute:

2^1 ≡ 2 (mod5)

2^2 ≡ 4 (mod5)

2^4 ≡ 1 (mod5)

Therefore:

2^342 ≡ 2^2 * (2^4)^85 ≡ 4 * 1^85 ≡ 4 (mod5)

Hence, 17^342 ≡ 2^342 ≡ 4 (mod5).

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Answer:

2x - y = 4

Step-by-step explanation:

The base line is 2x + 4y = 1.  To obtain a general formula for lines perpendicular to this "standard form" equation, interchange  and y and replace the '1' with 'C:'

2y - 4x = C

Since the line in question passes through the point (6, 8), we substitute 8 for y and 6 for x, obtaining:

2(8) - 4(6) = C.  Then C = 16 - 24, or  = -8.

The desired equation is

2y - 4x = -8, or

4x - 2y = 8, or (after reduction)

2x - y = 4

The correct answer is 82% of 50 (41) / 170% of 30 (51) /65% of 80 (52)

Explanation:

The first step to know whether a value is greater than another is to find the value each percentage represents depending on the total. This process is shown below.

1. 65% of 80- This implies 80 is 100% and 85% needs to be found. Use the following formula:

80 / 100 = 0.8 x 65 = 52 or the total number divided by 100 and multiplied by the percentage you want to know

2. 82% of 50 - Repeat the same process

50 / 100 = 0.5 x 82 = 41

3. 170% of 30

30 / 100 = 0.3 x 170 = 51

4. Finally organize the values

82% of 50 (41)

170% of 30 (51)

65% of 80 (52)

Based on the information given about the percentages ,the ordering will be 82% of 50, 170% of 30, and 65% of 80.

It should be noted that 82% of 50 will be:

= 82% × 50

= 41

170% of 30 will be:

= 1.7 × 30

= 51

65% of 80 will be:

= 65% × 80

= 0.65 × 80

= 52

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Answer:

w=15

Step-by-step explanation:

Answer:

The scale factor to transform DEF to D'E'F' is 1/2

Step-by-step explanation:

DEF is

D(-8, 6), E(-8, 14), F(2, 3)

D'(-3, 6), E'(-3, 10), F'(2, 4.5)

Therefore;

DE = √((-8-(-8))²+(6-14)²) = 8

D'E' = √((-3 -(-3))² + (6 - 10)²) = 4

Similarly,

EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221

E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2

Also

DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109

D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2

Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2

That is the scale factor of DEF to D'E'F'  = 1/2.

Answer:2.25 + 4.5 = 6.75 cups of flour

2.25

Step-by-step explanation: 1 batch is already 2.25 in decimal form so just infer from there.. divide 2.25 from .5 and get 4.5 then add to the one batch you've already received .. 4.5 + 2.25 = 6.75 and just convert into a fraction 6 3/4

A C - chart is used for Number of defects per unit.

What is C - chart?

In statistical quality control, the c-chart is a sort of control chart used to track "count"-type data, often the total number of nonconformities per unit. On rare occasions, it is also used to keep track of all the events that take place in a given period of time.

C-charts are used to assess if a process is predictable and stable as well as to track the results of process improvements before and after they have been made. The C - chart is particularly useful when there are few actual flaws in the subgroup but many potential for defects exist.

Count type data, such as the number of non-conformities per unit, are monitored using a statistical quality control chart known as a C-Chart.

Hence, a C - chart is used for Number of defects per unit.

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Answer:

85 × 5³ = 10,625 cubic feet

Step-by-step explanation: