The total liabilities and stockholders' equity for Deacon Company as of March 31st is $275,400.
To calculate the total liabilities and stockholders' equity, we need to add the amounts of accounts payable, common stock, and retained earnings. Accounts Payable: The balance sheet provides the information that the accounts payable is $71,100.
Common Stock: The balance sheet states that the common stock is $70,000.
Retained Earnings: The balance sheet shows that the retained earnings are $134,300.
Calculate the total liabilities and stockholders' equity: Add the amounts of accounts payable, common stock, and retained earnings.
Total liabilities and stockholders' equity = Accounts payable + Common stock + Retained earnings
= $71,100 + $70,000 + $134,300
= $275,400
Therefore, the total liabilities and stockholders' equity for Deacon Company as of March 31st is $275,400.
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50 points. Will give brainliest.
Write a polynomial equation that has roots: 3, √2 and -4i.
Answer:
Step-by-step explanation:
Given x=3, [tex]\sqrt{2}[/tex], and -4i
y= (x-3)([tex]x^{2}[/tex]-2)([tex]x^{2}[/tex]+16)
Answer:
x^4 - 3x^3 - 16√2x^2 + (16√2 + 16)x - 48 = 0
Step-by-step explanation:
If the roots of a polynomial equation are 3, √2 and -4i, then the factors of that polynomial are (x - 3), (x - √2) and (x + 4i), since each factor represents one of the roots.
However, since -4i is a complex number, its conjugate 4i is also a root of the polynomial. So we also need the factor (x - 4i).
Thus, the polynomial equation is:
(x - 3) (x - √2) (x + 4i) (x - 4i) = 0
To simplify this equation, we can use the fact that (a + bi)(a - bi) = a^2 - b^2i^2 = a^2 + b^2:
(x - 3) (x - √2) (x^2 + 16) = 0
Expanding this equation yields:
x^4 - 3x^3 + 16x - 16√2x^2 + 48√2x - 48 = 0
So the polynomial equation with roots 3, √2, and -4i is:
x^4 - 3x^3 - 16√2x^2 + (16√2 + 16)x - 48 = 0
B
E
7
4
3
1
-2 -1 0
D
Determine the line of reflection.
O Reflection across x = 4
Reflection across y = 4
Reflection across the x-axis
Reflection across the y-axis
3
4
C
D'
8
E'
9
10
B'
A'
11
Answer: 10
Step-by-step explanation: it is a 5+ 5 =
Match the example on the left with the corresponding property on the right.
11(4-2x3)
Match the example on the left with the corresponding property on the right.
The examples match with the following properties:
1. C. Distributive Property
2. A. Commutative Property
3. B. Associative Property
4. B. Associative Property
The correct matching of the examples on the left with the corresponding properties on the right is as follows:
1. 3(x + 3) = 3x + 9 : C. Distributive Property
This example demonstrates the distributive property, where we distribute the factor 3 to both terms inside the parentheses, resulting in 3 times x and 3 times 3, which simplifies to 3x + 9.
2. 2 + 3 + 4 = 4 + 3 + 2 : A. Commutative Property
This example illustrates the commutative property of addition, which states that the order of adding numbers does not affect the sum. Here, the numbers are rearranged on both sides of the equation, but the sum remains the same.
3. 4(2 x 3) = (4 x 2)3 : B. Associative Property
This example showcases the associative property of multiplication, where the grouping of factors does not affect the product. The expression on the left side is calculated as 4 times the product of 2 and 3, while the expression on the right side is calculated as the product of 4 and 2, followed by multiplying the result by 3. Both calculations yield the same result.
4. 6 + (7 + x) = (6 + 7) + x : B. Associative Property
This example also demonstrates the associative property, but in the context of addition. The expression on the left side associates the addition of 7 and x first, while the expression on the right side associates the addition of 6 and 7 first. Both expressions ultimately add up to the same sum.
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The question probable may be:
Match the example on the left with the corresponding property on the right.
1. 3(x + 3) = 3x + 9
2. 2 + 3 + 4 = 4 + 3 +2.
3. 4(2 x 3) = (4 x 2)3
4. 6 + (7 + x) = (6 + 7) + x
A. Commutative Property
B. Associative Property
C. Distributive Property
The average student loan debt for college graduates is $25,200. Suppose that that distribution is normal and that the standard deviation is $11,200. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar.
a. What is the distribution of X? X - N
b Find the probability that the college graduate has between $27,250 and $43,650 in student loan debt
c. The middle 20% of college graduates loan debt lies between what two numbers? Low: $ High: $
a) The distribution of X, the student loan debt of a randomly selected college graduate, is normal with a mean of $25,200 and a standard deviation of $11,200. b) The probability is approximately 7.28%.
c) The middle lies between approximately $22,164 and $28,536.
How to Find Probability?a. The distribution of X, the student loan debt of a randomly selected college graduate, is a normal distribution (bell-shaped curve) with a mean (μ) of $25,200 and a standard deviation (σ) of $11,200. We can represent this as X ~ N(25200, 11200).
b. To find the probability that the college graduate has between $27,250 and $43,650 in student loan debt, we need to calculate the z-scores for these two values and then find the area under the normal curve between those z-scores.
First, we calculate the z-score for $27,250:
z1 = (X1 - μ) / σ = (27250 - 25200) / 11200 ≈ 1.8304
Next, we calculate the z-score for $43,650:
z2 = (X2 - μ) / σ = (43650 - 25200) / 11200 ≈ 1.6518
Now, we need to find the area under the normal curve between these two z-scores. We can use a standard normal distribution table or a calculator to find this area.
Using a standard normal distribution table or a calculator, the probability is approximately P(1.6518 ≤ Z ≤ 1.8304) ≈ 0.0728.
c. To find the middle 20% of college graduates' loan debt, we need to find the range of values that contain the central 20% of the distribution. This range corresponds to the values between the lower and upper percentiles.
The lower percentile is the 40th percentile (50% - 20%/2 = 40%) and the upper percentile is the 60th percentile (50% + 20%/2 = 60%).
Using a standard normal distribution table or a calculator, we can find the z-scores corresponding to these percentiles:
For the lower percentile (40th percentile):
z_lower = invNorm(0.40) ≈ -0.2533
For the upper percentile (60th percentile):
z_upper = invNorm(0.60) ≈ 0.2533
Now, we can convert these z-scores back to the corresponding loan debt values:
Lower debt value:
X_lower = μ + z_lower * σ = 25200 + (-0.2533) * 11200 ≈ $22,164
Upper debt value:
X_upper = μ + z_upper * σ = 25200 + 0.2533 * 11200 ≈ $28,536
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The following pie chart shows the number of rabbits, sheep, cattle, pigs on a farm
sheep
700
cattle
300
Pig
500
a. How many animals are on the farm? b.What represents the number of sheep on the farm
c. what percentage of the total number of animals are rabbits
d. Calculate the angle that represents number of pigs
Daisy has a box of sea glass that has a mass or 1 1/2 kilograms.the box has a mass of 235 grams when it is empty. What is the mass of the sea glass in grams?
The mass of the sea glass in the box is 1265 grams.
To find the mass of the sea glass in grams, we need to subtract the mass of the empty box from the total mass of the box with the sea glass. Let's convert all the units to grams for consistency.
Mass of the empty box = 235 grams
Total mass of the box with sea glass = 1 1/2 kilograms = 1.5 kilograms = 1500 grams
To determine the mass of the sea glass, we subtract the mass of the empty box from the total mass:
Mass of the sea glass = Total mass of the box with sea glass - Mass of the empty box
Mass of the sea glass = 1500 grams - 235 grams
Performing the subtraction:
Mass of the sea glass = 1265 grams
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Annette Creighton opened Creighton consulting she rented a small office and paaid a part time worker to ensure to answer the phone and make deliveries
Annette Creighton opened Creighton Consulting and rented a small office space. She also hired a part-time worker to handle phone calls and make deliveries.
1. Annette Creighton decided to start her own consulting firm and named it Creighton Consulting.
2. As part of setting up the business, she began by renting a small office space. This would serve as the headquarters for her consulting operations.
3. To ensure smooth communication and timely deliveries, Annette realized the need for assistance. She hired a part-time worker to handle incoming phone calls and make necessary deliveries on behalf of the company.
4. The part-time worker would be responsible for answering the phone and addressing client inquiries or forwarding them to Annette if necessary. This step was crucial to maintaining good customer service and professionalism.
5. Additionally, the worker would also handle deliveries, ensuring that any documents, packages, or materials were transported promptly to clients or other relevant destinations.
6. By hiring a part-time worker, Annette aimed to streamline her operations and focus on core consulting tasks, such as client meetings, project management, and providing expert advice to clients.
7. The worker's role would involve effective communication skills, organization, and attention to detail to represent Creighton Consulting in a professional manner.
8. Annette understood that investing in administrative support would free up her time and allow the business to operate more efficiently, ultimately benefiting both her and her clients.
9. With the office space secured and the part-time worker in place, Annette was ready to embark on her consulting journey, confident in her ability to handle client inquiries and maintain smooth business operations.
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witch of the following would be a good name for the function that takes the length of a race and returns the time needed to complete it
a. length(time)
b.Time(race)
c.time(length)
d.cost(time)
The most appropriate name for the function that takes the length of a race and returns the time needed to complete it would be "time(length)".
When choosing a name for a function, it is important to consider clarity and readability. The name should accurately describe the purpose of the function and provide a clear indication of what it does.
In this case, the function is expected to take the length of a race as input and return the time needed to complete it as output. Among the given options, "time(length)" is the most suitable choice.
a. length(time): This name suggests that the function takes time as input and returns the length. However, in this scenario, we are interested in finding the time needed to complete the race based on its length, so this option is not the best fit.
b. Time(race): This name implies that the function takes a race as input and returns the time. While it conveys the idea of finding the time, it doesn't explicitly mention that the input is the length of the race, making it less clear.
c. time(length): This option accurately describes the purpose of the function, indicating that it takes the length of the race as input and returns the corresponding time. It is concise, clear, and aligns with the conventional naming conventions for functions.
d. cost(time): This name suggests that the function calculates the cost based on time, which is not relevant to the scenario of finding the time needed to complete a race.
Therefore, "time(length)" is the most suitable and appropriate name for the function.
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Todd noticed that the gym he runs seems less crowded during the summer. He decided to look at customer data to see if his impression was correct.
Week
5/27 to 6/2
6/3 to 6/9
6/10 to 6/16
6/17 to 6/23
6/24 to 6/30
7/1 to 7/7
Use
618 people
624 people
618 people
600 people
570 people
528 people
A: What is the quadratic equation that models this data? Write the equation in vertex form.
B: Use your model to predict how many people Todd should expect at his gym during the week of July 15.
Todd should expect_______people.
Todd should expect approximately 624 people at his gym during the week of July 15.
A: To find the quadratic equation that models the data, we can use the vertex form of a quadratic equation:
[tex]y = a(x - h)^2 + k[/tex] where (h, k) represents the vertex of the parabola.
Let's analyze the data to determine the vertex. We observe that the number of people is highest during the first week and gradually decreases over the following weeks.
This suggests a downward-opening parabola.
From the data, the highest point occurs during the week of 6/3 to 6/9 with 624 people.
Therefore, the vertex is located at (6/3 to 6/9, 624).
Using the vertex form, we have:
[tex]y = a(x - 6/3 to 6/9)^2 + 624[/tex]
Now, we need to find the value of 'a.'
To do this, we can substitute any other point and solve for 'a.' Let's use the data from the week of 5/27 to 6/2:
[tex]618 = a(5/27 to 6/2 - 6/3 to 6/9)^2 + 624[/tex]
Simplifying the equation and solving for 'a,' we find:
[tex]618 - 624 = a(-6/3)^2[/tex]
-6 = 4a
a = -3/2
Therefore, the quadratic equation in vertex form that models the data is:
[tex]y = (-3/2)(x - 6/3 to 6/9)^2 + 624[/tex]
B: To predict the number of people Todd should expect during the week of July 15, we substitute x = 7/15 into the equation and solve for y:
[tex]y = (-3/2)(7/15 - 6/3 to 6/9)^2 + 624[/tex]
Simplifying the equation, we find:
[tex]y = (-3/2)(1/15)^2 + 624[/tex]
y = (-3/2)(1/225) + 624
y = -3/450 + 624
y = -1/150 + 624
y = 623.993
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What is -2( 3x + 12y - 5 - 17x - 16y + 4 )simplified?
-40x + 8y + 2
28x + 8y + 2
28x + 6y + 2
-28x - 8y + 2
Answer:
-2(3x + 12y - 5 - 17x - 16y + 4)
-6x - 24y + 10 + 34x + 32y - 8
-6x + 34x - 24y + 32y + 10 - 8
28x + 8y + 2
hmm this is tricky help
The diameter of the engine cylinder can be within the range of 4.995 cm to 5.005 cm (option e).
Given that the diameter of the engine cylinder needs to be 5 cm wide with a tolerance of ± 0.005 cm.
To determine the permissible range of the diameter, we need to consider both the upper and lower limits.
Upper limit: Add the tolerance to the desired diameter.
Upper limit = 5 cm + 0.005 cm = 5.005 cm.
Lower limit: Subtract the tolerance from the desired diameter.
Lower limit = 5 cm - 0.005 cm = 4.995 cm.
Therefore, the permissible range for the diameter of the engine cylinder is between 4.995 cm and 5.005 cm.
Hence, the final answer is that the diameter of the engine cylinder can be within the range of 4.995 cm to 5.005 cm.
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Question #4
Find the measure of the indicated angle.
20°
161°
61°
73°
H
G
F
73° E
195°
The measure of the outside angle F indicated in the figure is 61 degrees,
What is the measure of angle GFE?The external angle theorem states that "the measure of an angle formed by two secant lines, two tangent lines, or a secant line and a tangent line from a point outside the circle is half the difference of the measures of the intercepted arcs.
Expressed as:
Outside angle = 1/2 × ( major arc - minor arc )
From the figure:
Major arc = 195 degrees
Minor arc = 73 degrees
Outside angle F = ?
Plug the value of the minor and major arc into the above formula and solve for the outside angle F:
Outside angle = 1/2 × ( major arc - minor arc )
Outside angle = 1/2 × ( 195 - 73 )
Outside angle = 1/2 × ( 122 )
Outside angle = 122/2
Outside angle = 61°
Therefore, the outside angle measures 61 degrees.
Option C) 61° is the correct answer.
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Describe a sequence of transformations that maps quadrilateral MATH onto quadrilateral
M"A"T"H".
A sequence of transformations that maps quadrilateral MATH onto quadrilateral M"A"T"H" is a rotation of 180° about the origin and a translation by 1 unit left and 1 unit up.
What is a rotation?In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).
Additionally, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:
(x, y) → (-x, -y)
Coordinates of point M (2, 4) → Coordinates of point M' = (-2, -4)
By applying a translation to the image (M') vertically upward by 1 unit and horizontally left by 1 unit, the new coordinate M" of quadrilateral M"A"T"H" include the following:
(x, y) → (x - 1, y + 1)
M' (-2, -4) → (-2 - 1, -4 + 1) = M" (-3, -3)
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Which graph represents a function
Answer:
The one at the bottom right above the next button
Step-by-step explanation:
En la tabla se muestra la cantidad de zapatos vendidos en 1 almacén durante una semana, calcula las medidas de tendencia central y realiza el análisis correspondiente
Based on the information, we can infer that the mean is 14.28, the median is 15, and there is no unique mode (several repeated values).
How to calculate measures of central tendency?To calculate the measures of central tendency, we will use the data provided in the table. The pairs of shoes sold on each day are as follows: 10, 14, 15, 12, 16, 18, 16.
Mean:
The mean is calculated by adding all the values and dividing by the total number of items.
Mean = (10 + 14 + 15 + 12 + 16 + 18 + 16) / 7 = 101 / 7 = 14.28
Median:
The median is the value in the middle of an ordered data set. To calculate it, we first order the values from smallest to largest.
10, 12, 14, 15, 16, 16, 18
Since there are an odd number of values, the median is the value in the middle position, which in this case is 15. Therefore, the median is 15.
Mode:
The mode is the value that occurs most frequently in a data set. In this case, there is no value that is repeated more times than the others. The values 16 and 12 are repeated twice each, but there is no single mode. Therefore, there is no single mode in this data set.
Note: Here is the question in English:
The table shows the number of shoes sold in 1 store during a week, calculates the measures of central tendency, and perform the corresponding analysis.
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Algebra Question
68% Oppose year round school
32% Favor year round school
Error +/- 5%
The error given in the graph represents the actual percent could be 5% more or 5% less than the percent reported by the survey.
A. Write and solve an absolute value equation to determine the least and greatest percent of students who could be in favor of year-round school.
B. A classmate claims that ⅓ of the student body is actually in favor of year-round school. Does this conflict with the survey data? Explain.
*can't add graph for some reason
A. To determine the least and greatest percentage of students who could be in favor of year-round school, we can use the error given in the survey, which is +/5%. Let's denote the actual percentage of students in favor of year-round school as x.
The least percentage can be found by subtracting 5% from the reported percentage of 32%:
32% - 5% = 27%
So, the least percentage of students in favor of year-round school is 27%.
The greatest percentage can be found by adding 5% to the reported percentage of 32%:
32% + 5% = 37%
Therefore, the greatest percentage of students in favor of year-round school is 37%.
Hence, the least percentage is 27% and the greatest percentage is 37%.
B. A classmate claiming that ⅓ of the student body is actually in favor of year-round school conflicts with the survey data. According to the survey, the reported percentage in favor of year-round school is 32%, which is not equal to 33.3% (⅓). Therefore, the classmate's claim contradicts the survey results.
It's important to note that the survey provides specific data regarding the percentages of students in favor and opposed to year-round school. The claim of ⅓ being in favor does not align with the survey's findings and should be evaluated separately from the survey data.
the population in Knox is 42000 and it is declining at a rate of 3.2% per year predict the population to the nearest whole number after 8 years
The predicted population of Knox, rounded to the nearest whole number, after 8 years is 32,599.
To predict the population of Knox after 8 years, we can use the given information that the population is currently 42,000 and it is declining at a rate of 3.2% per year.
To calculate the population after 8 years, we need to apply the rate of decline for each year. Let's break down the calculation step by step:
Calculate the population after the first year:
Population after 1 year = 42,000 - (3.2% of 42,000)
= 42,000 - (0.032 * 42,000)
= 42,000 - 1,344
= 40,656
Calculate the population after the second year:
Population after 2 years = 40,656 - (3.2% of 40,656)
= 40,656 - (0.032 * 40,656)
= 40,656 - 1,299.71
= 39,356.29
Continue this process for each year up to 8 years, applying the 3.2% rate of decline each time.
After performing these calculations for each year, we arrive at the population after 8 years:
Population after 8 years ≈ 32,599
Therefore, the predicted population of Knox, rounded to the nearest whole number, after 8 years is 32,599.
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Give me Author/year in mathemathics,?
Answer:
Isaac Newton (late 17th century) - Newton made significant contributions to calculus and mathematical physics. His book "Philosophiæ Naturalis Principia Mathematica" laid the groundwork for classical mechanics.
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
The number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) is option C: A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3, and a bold line starts at negative 3 and is pointing to the left.
To determine the solution set for the inequality 3(8 – 4x) < 6(x – 5), we need to solve it step by step:
Simplify the inequality:
24 - 12x < 6x - 30
Combine like terms:
-12x - 6x < -30 - 24
-18x < -54
Divide both sides of the inequality by -18, remembering to flip the inequality sign:
x > (-54) / (-18)
x > 3
The inequality tells us that x must be greater than 3. To represent this on a number line, we place an open circle at the value 3 and draw a bold line pointing to the right to indicate that the solution set includes all values greater than 3.
Therefore, option C accurately represent the solution set for the inequality 3(8 – 4x) < 6(x – 5).
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Mark this and return
Graph A
Graph B
Which graph represents a density curve, and why?
O graph A only, because the area under the curve
equals 1, and the curve is above the horizontal axis
O graph B only, because the area under the curve
equals 2, and the curve is above the horizontal axis
O both graph A and graph B, because both curves are
above the horizontal axis, and their areas are positive
neither graph A nor graph B, because, even though
both curves are above the horizontal axis, their areas
are not the same value
O
Save and Exit
Next
Submit
Only Graph A satisfies the criteria for a density curve, making it the correct answer.
Graph A represents a density curve because the area under the curve equals 1, and the curve is above the horizontal axis. In a density curve, the total area under the curve represents the probability, and it should always equal 1.
This indicates that the curve represents a probability distribution, where the probability of an event occurring within a certain range is given by the area under the curve within that range.
The fact that the curve is above the horizontal axis indicates positive values, which is consistent with a density curve representing a probability distribution.
On the other hand, Graph B does not represent a density curve because the area under the curve equals 2, which is not valid for a probability distribution. The area under a density curve should always equal 1, indicating that the total probability is accounted for.
As a result, only Graph A meets the requirements for a density curve, making it the right response.
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What is the probability that a ball drawn at random from a jar?
Select one:
a. Cannot be determined from given information
b. 0.5
c. 1
d. 0.1
e. 0
Note: Answer D is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.
Determine algebraically, the solution interval for the quadratic inequality 2x²-7x≤-3
Interval
Test Point
Substitution
True/False?
Solution:
Answer:
violence figer in the past two years
PLS HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
The correct option is the 3rd one
angle 1 = angle 4 = angle 5 = angle 8 = 60 degrees,
angle 2 = angle 3 = angle 6 = angle 7 = 120 degrees
Step-by-step explanation:
To solve this, we only need to look at the top two angles, 1 and 2
Since line l is a line, angle 1 and 2 must sum to 180,
Since angle 1 = 60 degrees, then,
angle 1 + angle 2 = 180
60 + angle 2 = 180
angle 2 = 120 degrees
the only option that corresponds to this is the third option,
angle 1 = angle 4 = angle 5 = angle 8 = 60 degrees,
angle 2 = angle 3 =
The number of books on Diana's
bookshelf by male and female authors is
shown in the table below. Some of the
numbers are missing.
How many of the non-fiction books were
written by female authors?
Fiction
Non-fiction
Total
Male
36
68
Female
Total
77
142
Answer:
The table shows that there are a total of 142 books on Diana's bookshelf, with 77 books written by female authors and the rest by male authors. However, the number of non-fiction books written by female authors is missing from the table, so it is impossible to determine the exact number without more information.
Step-by-step explanation:
Answer:
104 books
Step-by-step explanation:
Fiction Non-Fiction Total
Male 36 38
Female x
Total 77 142
----------------------------------------------------------------------------
x = 142 - 38 = 104
Whats the answer for this questions?
Answer:
7(20) + (1/2)(20)(9) = 140 + 90 = 230 cm²
Which exponential equation is e
quivalent to the logarithmic equation below? log=200 a
A. 200 = 10
B. 200¹0 = a
C. a¹0 = 200
D. 10 = 200 SUBMIT
The exponential equation a¹⁰ = 200 is equivalent to the logarithmic equation Log = 200 a.
Which rule of logarithms should we use here?The rule of logarithms that we should use here is given below:
[tex]\log \text{x} = \text{a} \iff 10^{\text{a}} = \text{x}[/tex]
We can find the equivalent exponential equation below:The given expression is Log = 200 a.
We can follow the rule log x = a ⇔ 10^a = x to convert this logarithmic equation to an exponential one.
Log = 200 a can be rewritten as a¹⁰ = 200
Therefore, we have found that the exponential equation a¹⁰ = 200 is equivalent to the logarithmic equation Log = 200 a.
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In 2010, the population of Houston, Texas, was 2,099,451. In 2017, Houston's population was estimated to be 2,312,717. What is the estimated annual growth rate of Houston's population?
Answer:
it 10:579
Step-by-step explanation:
it is the anser
Please answer ASAP I will brainlist
Answer:
log(3x⁹y⁴) = log 3 + 9 log x + 4 log y
Answer:
[tex]\log 3+ 9\log x +4 \log y[/tex]
Step-by-step explanation:
Given logarithmic expression:
[tex]\log 3x^9y^4[/tex]
[tex]\textsf{Apply the log product law:} \quad \log_axy=\log_ax + \log_ay[/tex]
[tex]\log 3+\log x^9 +\log y^4[/tex]
[tex]\textsf{Apply the log power law:} \quad \log_ax^n=n\log_ax[/tex]
[tex]\log 3+ 9\log x +4 \log y[/tex]
simplify 9 1/2 x 9 1/2 using radical form
answers to choose from are
3, 9, 81 or 6561
Answer:
[tex] \sqrt{9} \sqrt{9} = 9[/tex]
Find the 15th term of the geometric sequence 8,32,128
Answer:
2147483648
Step-by-step explanation:
Write the geometric sequence as an explicit formula
[tex]8,\,32,\,128\rightarrow8(4)^0,8(4)^1,8(4)^2\rightarrow a_n=a_1r^{n-1}\rightarrow a_n=8(4)^{n-1}[/tex]
Find the n=15th term
[tex]a_{15}=8(4)^{15-1}=8(4)^{14}=8(268435456)=2147483648[/tex]