Which is the same as asking:
What is log12 20,736?

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Businesses, a noun in plural. a group of people who are connected or who have joined together. a guest or guests: We're having people over for dinner. a collection of individuals together for social purposes. association, camaraderie, and fellowship She is a lot of joy to be around.

The Old French word "compagnie," which was first used in the Salic code and meaning "one who eats bread with you," is where the English word "company" originates. To describe a "society, friendship, closeness, or body of troops," it was first used in 1150.

You invested $12,000 in the company when you originally started it. Additionally, you borrowed $12,000 for a five-year (long-term) loan and paid back $2,018 of it.

Total Amount to be when start the company is $12000 + $12000

= $24000

Out of which company owns land and a building worth $8,878 and equipment worth $4,230 and have retained $1,291 in earnings to be reinvested in the company, and you decided to put $1,000 of it aside for a long-term investment.

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The revenue equation is given by:

R = –360p^2 + 28,800p

To find the maximum revenue that can be expected, we need to find the vertex of the parabola represented by this equation. The vertex of a parabola is given by the formula:

Vertex = (-b/2a, f(-b/2a))

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In this case, a = -360 and b = 28,800.

The x-coordinate of the vertex is given by:

x = -b/2a = -28,800/(2*(-360)) = 40

Substituting x = 40 into the revenue equation gives:

R = –360(40)^2 + 28,800(40) = 576,000

Therefore, the maximum revenue that can be expected is $576,000.

Again let me know what other ones you need help with

Answer:

Unit rate is 2

Step-by-step explanation:

Pick two columns of the ordered pairs. Lets use (2,4) and (3,6)

The x values are 2 and 3 and the y values are 4 and 6

Now you’re going to divide y by x so

4/2 = 2

6/3 = 2

(Always choose two ordered pairs so you know that your answer is right)

Unit rate of the table is 2.

The units of concentration and rate are always going to be molars per second. We now understand that molar per second is equal to k times molar in units. An item's unit rate is its price for one of it. This is expressed as a ratio with a one as the denominator. For instance, if you covered 70 yards in 10 seconds, you covered 7 yards on average every second. Seven yards in one second and 70 yards in ten seconds are both ratios, but only one of them is a unit rate.

Given,

Choose two columns from the paired ordered columns. Using (2, 4) and (3,6)

The x and y values are 2 and 3, respectively, and the

You will now divide y by x, so

4/2 = 2

6/3 = 2

Unit rate of the table is 2.

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Answer:

2 hours

Step-by-step explanation:

at one hour, you would be on lvl 10 and he would be on lvl 9, at 2 hour you would be on lvl 14, and he would be on lvl 14.

Answer:

The mean birth weight for the sampling distribution is

3,500 grams.

Step-by-step explanation:

The sample mean is the average of the sample values collected divided by the number of the samples, while the population mean is the average or mean of all the values in the population.  If the sample is random and the sample size is large enough, then the sample mean would be a good estimator of the population mean.  This implies that with a randomly distributed and unbiased sample size, the sample mean and population mean will be equal, according to the central limit theorem. Therefore, the mean of the sample means will always approximate the population mean.

Answer:

86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

Population: \(\mu = 75, \sigma = 5\)

Sample of 85: \(n = 85, s = \frac{5}{\sqrt{85}} = 0.5423\)

If the claim is true, what is the probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

This is 1 subtracted by the pvalue of Z when X = 74.4. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{74.4 - 75}{0.5423}\)

\(Z = -1.11\)

\(Z = -1.11\) has a pvalue of 0.1335

1 - 0.1335 = 0.8665

86.65% probability that the mean monitor life would be greater than 74.4 months in a sample of 85 monitors

Answer: 90 degrees

Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide

360/4 = 90 (: hope this helps

Answer:

90* x 4 = 360*

360* / 4 = 90*

Step-by-step explanation:

A circle has 360* all around.

In the angle that was drawn, it is 90*

The degrees for the space outside of 90* is x

x = ?                360* - 90* = 280*                 x = 280*

hope this helped

[~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T by substituting the propositional variables.

A truth table is a table used to determine the truth values of a compound proposition, which is a logical statement made up of simpler propositions using logical operators such as "and" (represented by "&"), "or" (represented by "V"), "not" (represented by "~"), conditional (represented by "⊃"), and biconditional (represented by "≡").

Let's substitute the given truth values for the propositional variables in the given statement:

[~F & (F V F)] ≡ (T ⊃ F)

Using the truth table for conjunction (represented by "&") and disjunction (represented by "V"), we can simplify the left-hand side of the equivalence:

[T & F] ≡ (T ⊃ F)

Using the truth table for conditional (represented by "⊃"), we can simplify the right-hand side of the equivalence:

F ≡ F

Since both sides of the equivalence have the same truth value, the statement is true.

Therefore, [~S & (R V S)] ≡ (Q ⊃ S) is true when A = T, S = F, R = F, and Q = T.

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Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

From the histogram, it appears that the median age of the houses is approximately 35 years.

Median number is the middle value in a set of numbers. It is determined by first listing all the numbers in an ascending or descending order and then finding the value in the middle of the set. Median number is used to measure the central tendency of the data set, or the average of the values, as it is not affected by outliers and large values. It gives a more accurate picture of the data set compared to the mean.

This can be estimated by looking at the midpoint of the bars on the histogram. As the bars indicate, there is an even distribution of houses that are older and younger than this figure, and so it can be assumed that the median age of the houses is 35 years. This is supported by the fact that the highest bar on the histogram is at the 35 year mark, indicating that this is the most common age of the houses in the village.

The fact that the figure of 35 is a good estimate for the median age of the houses can be further supported by looking at the information that is provided in the histogram. It can be seen that there are 27 houses that are older than 35 years, and 27 houses that are younger than 35 years. This indicates that half of the houses are older than 35 years, and half of the houses are younger than 35 years, which confirms that 35 years is a good estimate for the median age of the houses in the village.

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Answer:

a) The vertices of the triangle G'H'I' are \(G'(x,y) = (6, 1)\), \(H'(x,y) = (6,-2)\) and \(I'(x,y) = (1, 1)\), respectively.

b) The triangle G''H''I'' have vertices at \(G''(x,y) = (-3,-12)\), \(H''(x,y) = (-1, -9)\) and \(I''(x,y) =(-6,-12)\).

Step-by-step explanation:

a) From Linear Algebra, we define the translation by the following vector:

\(O'(x, y) = O(x,y) +T(x,y)\) (1)

Where:

\(O(x,y)\) - Original point, dimensionless.

\(O'(x,y)\) - Translated point, dimensionless.

\(T(x,y)\) - Translation vector, dimensionless.

If we know that \(G(x,y) = (-1,6)\), \(H(x,y) =(-1,3)\), \(I(x,y) = (-6,6)\) and \(T(x,y) = (7,-5)\), then the vertices of the triangle G'H'I' are, respectively:

\(G'(x,y) = G(x,y) +T(x,y)\) (2)

\(G'(x,y) = (-1,6) +(7,-5)\)

\(G'(x,y) = (6, 1)\)

\(H'(x,y) = H(x,y) + T(x,y)\) (3)

\(H'(x,y) = (-1,3) + (7,-5)\)

\(H'(x,y) = (6,-2)\)

\(I'(x,y) =I(x,y)+T(x,y)\) (4)

\(I'(x,y) = (-6,6) +(7,-5)\)

\(I'(x,y) = (1, 1)\)

The vertices of the triangle G'H'I' are \(G'(x,y) = (6, 1)\), \(H'(x,y) = (6,-2)\) and \(I'(x,y) = (1, 1)\), respectively.

b) From Linear Algebra, we define the reflection with respect to a horizontal line as follows:

\(O''(x,y) = O(x,y) - 2\cdot [O(x,y)-R(x,y)]\) (5)

Where:

\(O(x,y)\) - Original point, dimensionless.

\(R(x,y)\) - Reflection point, dimensionless.

If we know that \(G(x,y) = (-1, 6)\) and \(R(x,y) = (-1,-3)\), then the location of point G'' is:

\(G''(x,y) =G(x,y) -2\cdot [G(x,y)-R(x,y)]\) (6)

\(G''(x,y) = (-1,6)-2\cdot [(-1,6)-(-1,-3)]\)

\(G''(x,y) = (-1,6) -2\cdot (0,9)\)

\(G''(x,y) = (-1,6)-(2,18)\)

\(G''(x,y) = (-3,-12)\)

If we know that \(H(x,y) =(-1,3)\) and \(R(x,y) = (-1,-3)\) , then the location of the point H'' is:

\(H''(x,y) =H(x,y) -2\cdot [H(x,y)-R(x,y)]\) (7)

\(H''(x,y) = (-1,3)-2\cdot [(-1,3)-(-1,-3)]\)

\(H''(x,y) = (-1, 3) -2\cdot (0,6)\)

\(H''(x,y) = (-1,3)-(0,12)\)

\(H''(x,y) = (-1, -9)\)

If we know that \(I(x,y) = (-6,6)\) and \(R(x,y) = (-6, -3)\), then the location of the point I'' is:

\(I''(x,y) =I(x,y) -2\cdot [I(x,y)-R(x,y)]\) (8)

\(I''(x,y) = (-6,6)-2\cdot [(-6,6)-(-6,-3)]\)

\(I''(x,y) = (-6,6)-2\cdot (0,9)\)

\(I''(x,y) = (-6,6)-(0,18)\)

\(I''(x,y) =(-6,-12)\)

The triangle G''H''I'' have vertices at \(G''(x,y) = (-3,-12)\), \(H''(x,y) = (-1, -9)\) and \(I''(x,y) =(-6,-12)\).

Answer:

x = 8

Step-by-step explanation:

In equilateral, the length of the sides are equal.

12x - 22 = 10x - 6

Add 22 to both the sides

12x  = 10x - 6 + 22

12x = 10x + 16

Subtract '10x' from  both sides,

12x -10x = 16

2x = 16

Divide both sides by 2

x = 16/2

x = 8

Answer:

2 3/5 :)

Step-by-step explanation:

Answer

2w-9

Step-by-step explanation:

-3(w+3)+5w

-3w-9+5w

2w-9

Answer: Calculate the sphere volume, the volume of a spherical cap or of a hemisphere thanks to this sphere volume calculator.

Answer:

n = 19

Step-by-step explanation:

2n > 36 ( divide both sides by 2 )

n > 18

and

5n < 100 ( divide both sides by 5 )

n < 20

so n > 18 and n < 20

thus n = 19

Answer:

Domain: x ≥ -5

Range: y ≥ -2

Step-by-step explanation:

The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.

Therefore:

✅Domain: x ≥ -5

The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.

Therefore:

✅Range: y ≥ -2

Answer:

True

Step-by-step explanation:

It is a triangle.

if a+b>c, it is a triangle

Susannah's data are illustration of measure of central tendencies

(a) The mean

To calculate the mean, she needs to divide the total number of turkey sandwiches sold, by the number of days.

The total is:

\(\mathbf{Total = 73 +88+85+88+99+134+129}\)

\(\mathbf{Total = 696}\)

The number of days is:

\(\mathbf{Day = 7}\)

So, the mean is:

\(\mathbf{Mean =\frac{Total}{Days}}\)

\(\mathbf{Mean =\frac{696}{7}}\)

\(\mathbf{Mean =99.4}\)

Hence, the mean number of turkey sandwiches sold is 99.4

(b) The median

To calculate the median, she needs to arrange the data in ascending or descending order, then select the middle item.

In ascending order, we have: 73, 85, 88, 88, 99, 129, 134

The middle item is 88

So:

\(\mathbf{Median = 88}\)

Hence, the median number of turkey sandwiches sold is 88

(c) The mode

This is the data that occurs most.

From the dataset, 88 appears twice (more than others).

So:

\(\mathbf{Mode = 88}\)

Hence, the mode number of turkey sandwiches sold is 88

(d) The range

This is the difference between the highest and least data

From the dataset,

The highest is 134, and the least is 73

So:

\(\mathbf{Range =134 - 73}\)

\(\mathbf{Range =61}\)

Hence, the range of turkey sandwiches sold is 61

The measure that would be most helpful is the median, because it is not affected by outliers.

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Answer:

Relation A

Because it have a same value for x related with two different values of y

Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

Answer:

-80

Step-by-step explanation:

The area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

To find the area of a rectangle, we multiply its length by its width. In this case, the width is given as 5.1 cm and the height (or length) is given as 11.2 cm.

Area = length × width

Area = 11.2 cm × 5.1 cm

Calculating the product, we get:

Area = 57.12 cm²

Therefore, the area of the rectangle is 57.12 cm².

The correct answer is: 57.12 cm².

It is important to note that when calculating the area of a rectangle, we should always include the appropriate unit of measurement (in this case, cm²) to indicate that we are dealing with a two-dimensional measurement. The area represents the amount of space covered by the rectangle's surface.

So, the area of a rectangle with a width of 5.1 cm and a height of 11.2 cm is 57.12 cm².

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Answer:

Example 1: is a complex fraction. The numerator is 3 and the denominator is 1/2.

Example 2: is a complex fraction. The numerator is 3/7 and the denominator is 9.

So what I'm saying is that a complex fraction is when there is an exact or mixed fraction and the other number is a whole number.

Answer:

The answer is B the base is 16 feet

to find the base of a triangle the formula is b=2\(\frac{A\\}{h}\)

hope this helps

The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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Answer:

x=8 and y= -3

Step-by-step explanation:

2x + 7y= -5. eqn 1 ×6

-x -6y = 10. eqn 2 ×7

12x + 42y = -30

+

-7x - 42y = 70

= 5x= 40

x= 8

to find y

substitute x into eqn 2

-8-6y=10

-6y=10+8

-6y=18

therefore 6=-3

Answer:

5000 pounds

Step-by-step explanation:

Hello There!

There are 2000 pounds in 1 ton

So to convert tons to pounds we multiply by 2000

2.5x2000=5000

So 2.5 tons is the equivalent if 5000 pounds