If 1.5 liters of washing up liquid is 2.70 find the cost of 1 liter

Answer:

8 + 6 + 4 + 2 = 20

Step-by-step explanation:

Answer:

8+6+4+2

Step-by-step explanation:

Function transformation involves changing the form of a function

The functions are given as:

\(\mathbf{f(x) = log3x}\)

\(\mathbf{g(x) = 4log3(x+1)}\)

(a) The transformation from f(x) to g(x)

First, f(x) is shifted left by 1 unit.

The rule of this transformation is:

\(\mathbf{(x,y) \to (x + 1,y)}\)

So, we have:

\(\mathbf{f'(x) = log3(x + 1)}\)

Next. f'(x) is vertically stretched by a factor of 4.

The rule of this transformation is:

\(\mathbf{(x,y) \to (x,4y)}\)

So, we have:

\(\mathbf{g(x) = 4log3(x+1)}\)

Hence, the transformation from f(x) to g(x) is a horizontal shift 3 units left, followed by a vertical stretch by a factor of 4

(b) Sketch of g(x)

See attachment

(c) Asymptotes

The graphs of g(x) have no asymptote

(d) The intercepts, and the behavior of f(x)

The graph crosses the x-axis at x =-0.67, and it crosses the y-axis at y = 1.91

Hence, the x and y intercepts are -0.67 and 1.91, respectively.

The behavior of g(x) is that, g(x) approaches infinity, as x approaches infinity.

We know this because, the value of the function increases as x increases

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Answer:

0.0131086142

Step-by-step explanation:

I just put in the calculator.

Percentage error is given by the formula, (estimated number - actual number)/actual number × 100.

How closely a measured number corresponds to a true value is calculated using the percent error formula.

Percent error (percentage error) is defined as the difference between an experimental and theoretical value divided by the theoretical value and multiplied by 100.

The formula of percent error is,

"Percentage Error = ((Estimated Number - Actual Number)/ Actual number) × 100."

The percentage error tells us how much a small number of unavoidable errors affect our experimental results. By deducting the real value from the observed value, it is calculated. Small percentage errors show that you are close to the real or accepted value.

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In a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that For every unit increase in x1, the predicted mean of Y rises by 2 units holding \(x_{2}\) constant.

Given data,

Slope b1 = +2

Mutiple regression which means,

Use multiple linear regression to determine the relationship between two or more independent variables and one dependent variable.

The value of the dependent variable at a specific level of the independent variables (For instance, the crop's anticipated yield at specific levels of temperature, rainfall, and fertilizer application).

\(y = b_{0} +b_{1}x_{1}+b_{2}x_{2}+b_{3}x_{3}+....\)

\(b_{1}\)=2 means

The estimated mean of Y increases by 2 units for each increase of 1 unit of \(x_{1}\), holding \(x_{2}\) constant.

Hence, the expected mean of Y increases by two units for every unit increase in x1.

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Answer:

x=9

Step-by-step explanation:

Simplify  7+3x−67+3x−6  to  3x+13x+1.

Subtract 11 from both sides

Simplify  2x+10−12x+10−1  to  2x+92x+9.

Subtract 2x2x from both sides.

Simplify  3x−2x3x−2x  to  xx.

Answer: x=9

Step-by-step explanation:

7+3(x-2)=2x+10

7+3x-6=2x+10

1+3x=2x+10

1+3x-2x=2x-2x+10

1+1x=10

1x=9

x=9

Answer:Group

Step-by-step explanation:

Vertical is group and horizontal is period

Answer: Group

Step-by-step explanation:

The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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Answer:

Step-by-step explanation:

a. -3 < x <= 4

x = -2, -1, 0, 1, 2, 3, 4.

b. -3 < x < 4

x = -2, -1, 0, 1, 2, 3.

The probability from the odds is 3/7

The value of the odds is given as

Odds = 3 to 4

Represent the odds as a fraction

So, we have the following representation

Odds = 3/4

To convert the odds to probability, we make use of the following equation

Probability = Odds/(1 + Odds)

Substitute the known values in the above equation, so, we have the following representation

Probability = (3/4)/(3/4 + 1)

Evaluate the sum

Probability = (3/4)/(7/4)

Evaluate the quotient

Probability = 3/7

Hence, the probability is 3/7

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Answer:

60÷12=0.2

0.2miles per minute

0.2x45=9miles

Answer:

9 miles

Step-by-step explanation:

The speed of 12 miles per hour means that for every hour, Clare is 12 miles further from the starting point.

1 hour ----- 12 miles

Since an hour is equivalent to 60 minutes,

60 mins ----- 12 miles

We can divide both sides by 60 to find the distance travelled per minute.

1 min ----- 12 ÷60= 0.2 miles

Multiply both sides by 45 to find the distance travelled in 45 minutes:

45 mins ----- 0.2(45)= 9 miles

Given that the starting position is at zero, Clare's position is at 9 miles after 45 minutes.

Production: 168,500 units.

Direct materials: 337,000 pounds.

Direct labor: Calculated based on units produced.

Factory overhead: Calculated based on direct labor hours.

1. Production Budget for the Third Quarter:

BLACK DIAMOND COMPANY Production Budget (in units) Third Quarter

Budgeted sales units: 170,000

Add: Desired ending inventory units: 5,500

Total required units: 175,500

Less: Beginning inventory units: 7,000

Units to produce: 168,500

2. Direct Materials Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Materials Budget Third Quarter

Units to produce: 168,500

Materials needed for production (pounds): 2 pounds per snowboard

Total materials required (pounds): 337,000 pounds

Materials to purchase (pounds): Total materials required - Beginning inventory pounds - Desired ending inventory pounds

3. Direct Labor Budget for the Third Quarter:

BLACK DIAMOND COMPANY Direct Labor Budget Third Quarter

Units to produce: 168,500

Direct labor hours needed: 0.5 hour per snowboard

Cost of direct labor: Direct labor hours needed * Direct labor rate

4. Factory Overhead Budget for the Third Quarter:

BLACK DIAMOND COMPANY Factory Overhead Budget Third Quarter

Direct labor hours needed: Calculated from the direct labor budget

Budgeted variable overhead: Direct labor hours needed * Variable overhead rate

Budgeted total factory overhead: Budgeted fixed overhead + Budgeted variable overhead

Note: The specific rates for direct materials, direct labor, and variable overhead were not provided in the given information and would need to be included in the calculations based on the company's specific cost structure.

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Answer:

452.4

Step-by-step explanation:

You square 12 which is 144. Then you multiply by pi.

Answer:

i dont know how to make diagram for it but

Step-by-step explanation:

shawn donated 7 books

Inequality shows a relationship between two numbers or two expressions.

The value of x for the inequality x + 4 > 7 is x > 3.

x is greater than 3.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

Example:

x + 3 > 4

We have,

x + 4 > 7

We will solve for x.

x + 4 > 7

Subtract 4 on both sides.

x + 4 - 4 > 7 - 4

x > 3

This means x is greater than 3.

Thus,

The value of x for the inequality x + 4 > 7 is x > 3.

x is greater than 3.

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The circumference of the circle with a radius of 9 inches is approximately 56.52 inches if we use 3.14 to approximate pi.

The circumference of a circle is the distance around the edge of the circle. It can be calculated using the formula C = 2πr, where r is the radius of the circle and π is the mathematical constant pi.

In this problem, we are given the radius of the circle, which is 9 inches. We can substitute this value into the formula C = 2πr and simplify:

C = 2π(9)

C = 18π

Since we are asked to use 3.14 for pi, we can approximate the value of 18π by substituting 3.14 for π:

C ≈ 18 × 3.14

C ≈ 56.52

So, the circumference of the circle with a radius of 9 inches is approximately 56.52 inches if we use 3.14 to approximate pi. However, as I mentioned earlier, pi is an irrational number, and the exact circumference of the circle cannot be expressed as a finite decimal.

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Given;

The graph of a line.

To find:

The slope of the line.

Solution:

From the given graph it is clear that the line passes through the points (1,7) and (3,5).

So, the slope of the given line is

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(m=\dfrac{5-7}{3-1}\)

\(m=\dfrac{-2}{2}\)

\(m=-1\)

Slope of the line is -1.

Therefore, the correct option is D.

Answer:

$2,928

Step-by-step explanation:

Using the equation below, note that for days in which she worked more than \(8\) hours, we will be multiplying the number hours worked over \(8\) hours by \(91.5.\)

\(61\) × \(1.5=91.5\)

Let \(x\) equal hours less than or equal to \(8.\)

Let \(y\) equal the number of hours worked over \(8\) hours.

Let \(t\) equal gross earnings.

Start with an equation:

\(61x+91.5y=t\)

Monday:

\(61(7)=427\)

Tuesday:

\(61(8)+91.5(1) = 579.5\)

Wednesday:

\(61(8)+91.5(1) = 579.5\)

Thursday:

\(61(8)+91.5(2) = 671\)

Friday:

\(61(7)=427\)

Saturday:

\(61(4)=244\)

Now, total the gross earnings of each day.

\(427+579.5+579.5+671+427+244\)

Solve.

\(2928\)

The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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Answer:

It would be 2. 6x - 1 = 1 + x

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

4 3/4

Step-by-step explanation:

Answer

Step-by-step explanation

Answer:

65

Step-by-step explanation:

5% = 0.05

0.05 x 1300 = 65

The probability of24% chance of selecting a winning rubber duck from the available options.

At the carnival, there are 25 rubber ducks available to choose from.

The probability of selecting a winning rubber duck is given as 0.24.

This means that out of the 25 ducks, there is a 0.24 chance of selecting a winning duck.

To understand this probability better, we can interpret it as a ratio or fraction.

The probability is calculated by dividing the number of favorable outcomes (winning ducks) by the total number of possible outcomes (total ducks).

The number of winning ducks can be found by multiplying the probability by the total number of ducks:

Number of winning ducks = 0.24 × 25 = 6

So, out of the 25 rubber ducks, there are 6 winning ducks.

This probability provides an indication of the likelihood of selecting a winning duck.

It suggests that, on average, for every 100 attempts, approximately 24 of the ducks chosen would be winners.

It's important to note that probability is not a guarantee and can vary from one selection to another.

The probability of 0.24 can also be expressed as a percentage, which would be 24%

Attending the carnival, individuals can consider this probability to assess their chances of winning a prize when choosing a rubber duck from the 25 options.

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43% of elementary students chose something other than blue, red, or yellow as their favorite color.

Blue: 24%

Red: 17%

Yellow: 16%

Total: 24% + 17% + 16% = 57%

Percentage chose something other:

100% - 57% = 43%.

Therefore, 43% of elementary students chose something other than blue, red, or yellow as their favorite color.

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Answer: 26

Step-by-step explanation:

Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then

∠A + ∠B = 90

∠A =90- ∠B

∠A  = 26

Answer:

The measure of \(\angle A\):

\(\angle A = 26\textdegree\)

Step-by-step explanation:

Since both \(\angle A\) and \(\angle B\) are complementary (Which they both add up to 90°), and you want to find the measure of

Measure of \(\angle A\): unknown

Measure of \(\angle B\): 64°

Finding the measure of \(\angle A\):

\(90 - 64 = 26\)

\(\angle A = 26\textdegree\)

So, the measure for \(\angle A\) is \(26\textdegree\).

Step-by-step explanation:

1:4 bcos u need to divide both sides by 4