Please Show Your Work All My Points Please Help Me!!!!! 6x^2+8x-6=2-2x-2

The complete table of the algae area is:

Day   1     2   3   4   5   6

Area  1/2  1   2   4   8   16

The initial area is given as;

A(1) = 1/2 square meters

When it doubles every day, we have:

A(n) = 2 * A(n - 1) where A(1) = 2

So, we have the following values

A(2) = 1/2 * 2 = 1

A(3) = 1 * 2 = 2

A(4) = 2 * 2 = 4

A(5) = 4 * 2 = 8

A(6) = 8 * 2 = 16

Hence, the complete table is:

Day   1     2   3   4   5   6

Area  1/2  1   2   4   8   16

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Answer: the second option

Step-by-step explanation:

look at on a coordinate plane going left is decreasing ( negative) and he is already at 8,-5 so you add 5 to 8 to get 13 as the first coordinate add 11 to -5 and you'll get 6 therefore the coordinates are (13,6)

The output value of (f∘g)(x) include the following: C. \((f \circ g)(x) = \frac{x^2+6x+8}{x^{2} +2x-15}, for\;x\;\neq -5\;and\;x\neq3\)

In this scenario, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations (multiplication) in simplified form as follows;

\(f(x) = \frac{x^2-16}{x^{2} +3x-10}\\\\g(x) = \frac{x^2-4}{x^{2} -7x+12}\)

Next, we would write the numerators and denominators in factored form as follows;

x² - 16 = (x - 4)(x + 4)

x² + 3x - 10 = (x - 2)(x + 5)

x² - 4 = (x - 2)(x + 2)

x² - 7x + 12 = (x - 4)(x - 3)

Now, we can derive the corresponding composite function of f(x) and g(x);

\((f \circ g)(x) = \frac{x^2-16}{x^{2} +3x-10} \times \frac{x^2-4}{x^{2} -7x+12}\\\\(f \circ g)(x) = \frac{(x-4)(x+4)}{(x-2)(x+5)} \times \frac{(x-2)(x+2)}{(x-3)(x-4)}\\\\(f \circ g)(x) = \frac{(x+4)}{(x+5)} \times \frac{(x+2)}{(x-3)}\\\\(f \circ g)(x) = \frac{(x+4)(x+2)}{(x+5)(x-3)} \\\\(f \circ g)(x) = \frac{x^2+6x+8}{x^{2} +2x-15}, for\;x\;\neq -5\;and\;x\neq3\)

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Mandy's actual direct labor rate per hour (AP), rounded to two decimal places, is approximately $42.00.

To find Mandy Company's actual direct labor rate per hour (AP), we need to use the given information and apply the formula for direct labor efficiency variance:

Direct Labor Efficiency Variance = (AQ - SQ) × AP

We are given the following information:

Standard direct labor hours allowed for units produced (SQ) = 3,800

Actual direct labor hours worked (AQ) = 3,650

Direct labor efficiency variance, favorable (F) = $6,300

We can rearrange the formula to solve for AP:

AP = Direct Labor Efficiency Variance / (AQ - SQ)

Substituting the values:

AP = $6,300 / (3,650 - 3,800)

AP = $6,300 / (-150)

AP ≈ -$42 per hour

However, a negative value of direct labor rate variance is called favorable direct labor rate variance, which is the result of the actual rate being less than the standard rate.

Therefore, Mandy's actual direct labor rate per hour (AP), rounded to two decimal places, is approximately $42.00.

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Complete question =

Mandy Company has the following information from last month:

Standard direct labor hours allowed for units produced (SQ) 3,800

Actual direct labor hours worked (AQ) 3,650

Direct labor efficiency variance, favorable (F) $ 6300

Total payroll $ 190530

What was Mandy's actual direct labor rate per hour (AP), rounded to two decimal places?

The proportion of the normal distribution that is found in z score of 1.20 and 1.75 is 7.5% .

In order to find the proportion of the normal distribution between two z-scores, we need to use a standard normal distribution table ,

By using the standard normal distribution table, we can find the proportion between z scores z = 1.20 and z = 1.75 by subtracting the cumulative probability of z = 1.20 from the cumulative probability of z = 1.75:

⇒ P(1.20 ≤ z ≤ 1.75) = P(z ≤ 1.75) - P(z ≤ 1.20)

From a standard normal distribution table,

We get that the cumulative probability for z = 1.20 is 0.88493, and the cumulative probability for z = 1.75 is 0.95994.

Substituting these values,

We get ,

⇒ P(1.20 ≤ z ≤ 1.75) = 0.95994 - 0.88493

⇒ P(1.20 ≤ z ≤ 1.75) = 0.07501

Therefore, the proportion of the normal distribution is approximately 0.075 or 7.5%.

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I will divide the total number of chairs (372) by average the number of chairs held by each rack (8) to find the total number of racks needed.

To answer this question, I need to divide the total number of chairs (372) by the number of chairs held by each rack (8). This will tell me the total number of racks needed. I will use long division to divide 372 by 8. I will start by dividing 8 into 37 and get the answer of 4 with a remainder of 1. Then I will bring down the next number (2) and divide 8 into 12, getting the answer of 1 with a remainder of 4. I will add this to the 1 from the last division to get 5. I will then divide 8 into 5 and get an answer of 0 with a remainder of 5. I will then add this to the 4 from the last division to get 9. I will then divide 8 into 9 and get an answer of 1 with a remainder of 1. This means the total number of racks needed is 46.

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Answer:

x = d/5 - $50

Step-by-step explanation:

Basiclly what this sentence is saying that the price d is equal to $250 + 5 prices of staying in a hotel for a night.

If we let "x" be the price per night then we can get the following..

d = $250 + 5x

5x = d - $250

\(x = \frac{d - 250}{5}\)

x = d/5 - $50

The element that orients readers by previewing the structure of the report is "Organization."

Organizing a report effectively helps readers understand the flow of information and the logical structure of the content. By providing an overview of the organization, readers can anticipate the main sections, their sequence, and the connections between them.

The organization element typically includes headings, subheadings, and a clear hierarchy of information. It outlines the main sections and subsections of the report, indicating how they are related and how they contribute to the overall message or argument.

In addition to the organization element, the other options listed—Definitions of key terms and Sources and methods—also play important roles in a report. Definitions of key terms clarify terminology and provide a common understanding, while Sources and methods explain the sources of information and the methods used in the report's research or analysis. However, in the context of previewing the structure, the Organization element specifically serves this purpose.

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Answer:

c= sqrt149; 12.2 rounded

Step-by-step explanation:

Pythagorean Theorem to find c(hypotenuse): a^2+b^2=c^2

7^2+10^2=149

sqrt149= 12.2 rounded

Answer:

9pi approx= 28.3sqmm

Step-by-step explanation:

The question says the diameter is 6mm. So the radius is 3mm. They are asking for the area. It says area of the nail. But since no other measurements are given it must mean, area of the nailhead.

Area of a circle is pi×r^2

=pi(3^2)

=9pi

This is the exact answer. 9pi sqmm

or if they want a decimal approximation it is 28.3 sqmm

The probability that the doctor makes an incorrect diagnosis and the patient sues is 0.27.

The probability that a doctor correctly diagnoses a particular illness is 0.7.

P(A) = 0.7

Therefore, the probability that a doctor incorrectly diagnose illness is,

P(A)' = 1-0.7 = 0.3

IF the doctor made a  incorrect diagnosis, the probability that the patient files a lawsuit is 0.9.

P(B) = 0.9

The probability of doctor makes an incorrect diagnosis and the patient sues,

P(C) = 0.3 * 0.9 = 0.27

The probability that the doctor makes an incorrect diagnosis and the patient sues is 0.27.

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Answer:

1=original image before transformation

2=shape or object that has been transformed

3=change made to shape or object

4=the mirror line

5=transformation in which figure flipped over line

Step-by-step explanation:

Answer:

1. pre-image the original shape or object that is being transformed

2. image is a shape or object that has been transformed

3. transformation is a change made to a shape or object.

4. line of reflection is the mirror line; the line across where a figure is flipped

5. reflection is a transformation in which the figure is flipped  over a line to give a mirror image of the original figure

Step-by-step explanation:

Answer:

70 percent.

Step-by-step explanation:

To calculate the probability that the next customer will pay with cash or a credit card, we need to add the number of customers who paid with cash (69) to the number of customers who paid with a credit card (11):

69 + 11 = 80

So out of the total number of customers, 80 paid with cash or a credit card. To express this as a percentage to the nearest whole number, we need to divide 80 by the total number of customers (69 + 34 + 11 = 114) and then multiply by 100:

(80 / 114) x 100 ≈ 70

Therefore, the probability that the next customer will pay with cash or a credit card is approximately 70 percent.

The required Number is 81,225.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the number be x

So, the equation can be written as

√x + √(x + 600)= 30

2√x = -570

√x = -285

Taking Square on both side we get

x = 81225

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The Question attached here is in other language whose translation is

The square root of a number plus the square root of that number increased by 600 units equals 30. What is the number?

Answer:

1 solution It is (-14, -12.5).

Step-by-step explanation:

3x−4y=8

4y−4x=6

Adding the 2 equations eliminates the 4y:

3x - 4x = 14

x = -14

So

-42 - 4y = 8

4y = -50

y = -12.5,

Answer:

one solution

Step-by-step explanation:

3x - 4y = 8             a₁ = 3  and  b₁ = -4

-4x + 4y = 6          a₂ = -4  and b₂ = 4

Set of equations has on solution if

\(\dfrac{a_{1}}{a_{2}} \neq \dfrac{b_{1}}{b_{2}}\\\\\\\dfrac{3}{-4} \neq \dfrac{-4}{4}\)

Answer:

Step-by-step explanation:

In this exercise, we are expected to convert a mathematical expression to a word problem

Given the expresion

3(x - 7) + 10

we can see that the expression has two parts or terms

the first term is 3(x - 7)

which can be translated as three times the difference of x and 7

the second part is a constant term of 10, it carries a positive sign

so we have to add it up to the first term hence the first term plus 10

In all the word to expression the mathematical relation is

Three times the difference of x and seven plus ten

Answer:

m = 65

Step-by-step explanation:

\(-13 = \frac{m}{-5} \\\\(-5)*-13 = \frac{m}{-5} *(-5)\\\\m = 65\)

To construct and store a 4 x 2 matrix filled row-wise with the given values in R, you can use the following code:

# Create the matrix

myMatrix <- matrix(c(4.3, 3.1, 8.2, 9.2, 3.2, 0.9, 1.6, 6.5), nrow = 4, ncol = 2, byrow = TRUE)

This code creates a matrix called "myMatrix" with 4 rows and 2 columns, filled row-wise with the provided values.

To overwrite the second column of the matrix with the numbers 8, 9, 11, and 17 in that order, you can use the following code:

# Overwrite the second column

myMatrix[, 2] <- c(8, 9, 11, 17)

This code selects the second column of the matrix using the indexing notation [, 2] and assigns the new values using the c() function. The second column is replaced with the numbers 8, 9, 11, and 17.

Finally, to save the updated matrix to an object named "BruceLee", you can use the following code:

# Save the updated matrix

BruceLee <- myMatrix

Now the updated matrix with the overwritten second column is stored in the object "BruceLee" for further use.

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we know angles A and B are supplementary, thus their sum is 180°.

\(\stackrel{\measuredangle A}{(2x+26)}~~ + ~~\stackrel{\measuredangle B}{(x+25)}~~ = ~~180\implies 3x+51=180\implies 3x=129\\\\\\x=\cfrac{129}{3}\implies x=43~\hspace{10em}\stackrel{\measuredangle B = 43 + 25}{68}\)

The measure of angle m∠B = 112°

The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.

Supplementary angles have a sum of 180°

Therefore, we can add the expressions for Angles A and B and set their sum equal to 180.

( 2x+26 ) + ( x+25 ) = 180

Now we can combine like terms and apply the operations to find the value of x:

⇒ ( 2x+26 ) + ( x+25 ) = 180

⇒ 3x + 51 = 180

⇒ 3x  = 180 - 51

⇒ 3x  = 129

⇒ x = 129/3

⇒ x = 43

Then Angle B will have a measure of x+25 = 43 + 25 = 68°

m∠ B = 112°

The measure of Angle A will be :2x+26  = 2(43) + 26 = 112°

m∠A = 68°

Thus, the measure of angle m∠B = 112°

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The df values for the f-ratio for the axb interaction in this experiment would be 28.

To determine the df values for the f-ratio for the axb interaction in this experiment, we first need to calculate the total number of observations in the study. With 3 levels of factor a and 3 levels of factor b, there are a total of 9 possible treatment conditions. With a sample of n = 8 in each treatment condition, there are a total of 72 observations in the study.

Next, we need to calculate the degrees of freedom for the axb interaction. This can be done using the formula dfaxb = (a-1)(b-1)(n-1), where a is the number of levels of factor a, b is the number of levels of factor b, and n is the sample size.

In this case, a = 3, b = 3, and n = 8, so dfaxb = (3-1)(3-1)(8-1) = 2 x 2 x 7 = 28.

Therefore, the df values for the f-ratio for the axb interaction in this experiment would be 28. This indicates the amount of variability in the data that can be attributed to the interaction between factor a and factor b, after accounting for any main effects. A larger f-ratio with a corresponding smaller p-value would suggest a more significant interaction effect.

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Answer:

Answer:

Matthew drank 4 more glasses of water than Nicole: equation

Four more glasses of water than Nicole: expression

Step-by-step explanation:

We can model "Matthew drank 4 more glasses of water than Nicole" as an equation as follows:

\(m=n+4\)

However, "Four more glasses of water than Nicole" is only an expression. It doesn't include an equality.

supersciencestudy is correct, an equation must include an equality.

Answer:

Standard form

Step-by-step explanation:

In this question, we have to figure out what form the equation is.

Our options are: point-slope form, slope-intercept form, and standard form.

Our forms are structed as followed below:

Point-slope form: y - y1 = m(x - x1)

Slope-intercept form: y= mx + b

Standard form: Ax + By = C

Now, we just need to find out which form the equation resembles.

You would notice that the linear equation "2x + 4y = 12" follows the structure of the standard form.

Side-by-side comparison:

2x + 4y = 12

Ax + By = C

Therefore, your answer would be standard form.

The volume of the stucture made from three rectangular prism is 4080 ft³

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 12 * 10 * 5 = 600 ft³

The volume of the other prism = length * width * height = 10 * 8 * 36 = 2880 ft³

Volume of the structure = 600 ft³ + 600 ft³ + 2880 ft³ = 4080 ft³

The volume of the stucture made from three rectangular prism is 4080 ft³

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Answer:

1/110

Step-by-step explanation:

Probability of selecting a rose is 3/12, probability of selecting a tulip is 4/11, and probability of selecting a carnation is 1/10.

\(\frac{3}{12} *\frac{4}{11} *\frac{1}{10} \\=\frac{1}{110}\)

Answer:

x = number of hours = 8 hours

Step-by-step explanation:

Let

x = number of hours

There are 3 people who rented bicycle from each shop

Ace bicycle shop:

Total cost = 3(4 + x)

= 12 + 3x

Best bicycle shop:

Total cost = 3(8 + 0.50x)

= 24 + 1.5x

Equate both equations and solve

12 + 3x = 24 + 1.5x

12 - 24 = 1.5x - 3x

-12 = -1.5x

x = -12/-1.5

x = 8 hours

x = number of hours = 8 hours

Answer:

y=9x+4

Step-by-step explanation:

9 is the slope and 4 is the y-intercept, or the "b"

Answer:

In all x keep the value of x 5 then the answer can get.