Answer:
A) 2x²y³\(\sqrt{7xy^2}\)
Step-by-step explanation:
\(\sqrt[3]{56x^7y^5}\) = \(\sqrt[3]{(2^3)(7)(x^3)(x^3)(x)(y^3)(y^2)}\) anything inside the radical raised to
the third power can be removed to
the outside of the radical
= 2(x)(x)(y) · \(\sqrt[3]{(7)(x)(y^2)}\)
= 2x²y·\(\sqrt[3]{(7)(x)(y^2)}\)
The function R = 73. 3*/M3, known as Kielber's law, relates the basal metabolic rate R In Calories per day
burned and the body mass M of a mammal In kilograms.
a. Find the basal metabolic rate for a 180 kilogram lion. Then find the formula's prediction for a 80
kilogram human. If necessary round down to the nearest 50 Calories.
b. Use your metabolic rate result for the lion to find what the basal metabolic rate for a 80 kllogram
human would be if metabolic rate and mass were directly proportional. Compare the result to the result
from part a.
a. Kleiber's law for lion
Calories
Kleiber's law for humans
Calories
b. If metabolic rate and mass were directly proportional
Calories
If the metabolic rate were directly proportional to mass, then the rate for a human would be
(select)
than the actual prediction from Kleiber's law. Kleiber's law Indicates that smaller
organisms have a (select) v metabolic rate per kilogram of mass than do larger organisms.
The estimate from direct proportionality is higher than the prediction from KLEIBER's law.
a. For a 180 kilogram lion, we can use KLEIBER's law: R = 73.3*(180^0.75) = 6136.5 Calories per day. For an 80 kilogram human, we can use the same formula: R = 73.3*(80^0.75) = 1537.6 Calories per day.
b. If metabolic rate and mass were directly proportional, we could use the ratio of the masses to find the basal metabolic rate for an 80 kilogram human.
The ratio of the masses is 80/180 = 0.44. We can multiply this by the basal metabolic rate for the lion to get an estimate for the human: 0.44*6136.5 = 2701.26 Calories per day.
This estimate is higher than the prediction from Kleiber's law for an 80 kilogram human (1537.6 Calories per day). KLEIBER's law indicates that smaller organisms have a higher metabolic rate per kilogram of mass than do larger organisms.
Therefore, the estimate from direct proportionality is higher than the prediction from KLEIBER's law.
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91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
Ruben bought 6 comic books for $21. Each comic book was the same price. What is the price for 1 comic book?
Answer:
Each comic booke was $3.50
Step-by-step explanation:
You just have to divide 21 by 6
Answer:
$3.50
Step-by-step explanation:
21 divided by 6 gives you 3.5 and you add the 0 because its referring to money
17.3· 15·23
No links
Answer:
59689
Step-by-step explanation:
15 times 23= 345
345 times 17.3 = 59689
can someone answer page 3 question 3, page 5 question 3, all of page 6
The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7
What is trigonometrical ratios?Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle. There are three common trigonometric ratios: sine, cosine, and tangent
For page 3 question 3,
a) <A + <B = 90 since <C = right angle
b) SinA = BC/AB and CosB = BC/AB
The ratio of the two angles BC/AB ÷ BC/AB = 1
I notice that the ratio of sinA and cosB gives 1
b) The ratio of CosA and SinB will give
BC/AB ÷ BC/AB
= BC/AB * AB/BC = 1
For page 5 number 3
Tan28 = g/i
g/12.2 = tan28
cross multiplying to have
g = 12.2*tan28
g = 12.2 * 0.5317
g = 6.5
b) the angle I is given as 90-28 degrees
<I = 62 degrees
To find the side h we use the Pythagoras theorem
h² = (12.2)² + (6.5)²
h² = 148.84 +42.25
h²= 191.09
h=√191.09
h= 13.8
For page 6
1) Sin42 = x/18
x=18*sin42
x = 18*0.6691
x = 12.0
2) cos28 = 6/x
xcos28 = 6
x = 6/cos28
x [= 6/0.8829
x = 6.8
3) Tan63 = x/34
x = 34*tan63
x= 34*1.9526
x = 66.4
4) Sin50 123/x
xsin50 = 123
x = 123/sin50
x = 123/0.7660
x =160.6
5) Sin57 = P/8
Pole = 8sin57
the pole = 8*0.8387
The pole = 6.7
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Marie bought a new copier for her home office. The store gave her a 4-year add on interest loan for 2400 for the new equipment. The annual interest rate is 12%. How much interest will she pay ? What are her monthly payments?
Marie's new copier cost $2400 and received a 4-year add-on interest loan at an annual rate of 12%. Over the course of the loan, she will pay $1152 in interest. Her monthly payments will be $70.
To calculate the interest Marie will pay, we first need to find the total amount she will repay over the 4-year loan period. An add-on interest loan means that the interest is calculated upfront and added to the principal amount. In Marie's case, the interest will be calculated on the original $2400 loan amount.
The total amount that Marie will repay is calculated by adding the original loan amount to the total interest payable. Using the formula: Total Repayment = Principal + (Principal x Interest Rate x Loan Term), we can calculate that the total amount Marie will repay is $3552.
To determine the interest payable, we subtract the original loan amount from the total amount repaid: Interest = Total Repayment - Principal. In this case, the interest payable is $1152.
Finally, we can calculate the monthly payments by dividing the total repayment amount by the number of months in the loan term. As the loan is over 4 years or 48 months, the monthly payment amount is $3552 ÷ 48 = $70.
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7Which statement about this figure is true!It has rotational symmetry with an angle of rotation of 120It has no reflectional symmetry.It has reflectional symmetry with one line of symmetry.It has rotational symmetry with an angle of rotation of 60
Notice that we can draw 3 lines of symmetry on the figure (one for each "loop" ), this means that the figure has a rotational symmetry with an angle of rotation of 360/6=60 degrees
which of the following is a non terminating decimal ( )
a)¾ b) ⅘ c)⅓ d) none
C is a non terminating decimal.
a = 0.75
b = 0.8
c = 0.333333 (and will never terminate)
area off a circle
radius 9
Answer:
254.34
Step-by-step explanation:
\(r^{2}\)x3.14(\(\pi\))
so then substitute
9x9=81
81x3.14=254.34
9(42) - 9(4) = 9(30) - 9(___)
Answer: 8 (I might have gotten it wrong tho) could be -8 too btw.
Step-by-step explanation:
42x9=378 and 9x4=36. 9x30=270 so that would make the equation 378-36=270-9(_). Simplified a bit more would be 342=270-9(_). Now subtract 270 from both sides you get 72=9(_) so it would be 8. Sorry if I’m wrong tho.
Answer:
9(42) - 9(4) = 9(30) - 9(-8)
Step-by-step explanation:
9(42 - 4) = 9(38)
9[30 - (-8)] = 9(38) because of rules of subtracting integers is:
Two like signs become a positive sign
Example:
3+(+2) = 3 + 2 = 5
6−(−3) = 6 + 3 = 9
Two unlike signs become a negative sign
Example:
7+(−2) = 7 − 2 = 5
8−(+2) = 8 − 2 = 6
At a religious gathering there were 560 persons present . For every 4 adults , there were 3 children 4/5 of the children were boys . How many more boys were there than girls
The religious gathering has 144 more boys than girls.
How to calculate the number of people?First we need to find out how many people and kids are attending the event.
There were 3 kids for every 4 adults. Thus we have to divide the total gathering number by the sum of their ratios which is 4 + 3 = 7
Adult population=> (4/7) x 560 = 320
Children's number=> 560-320 = 240
We know that every 4/5 children is a boy
Thus,
Number of boys: (4/5) * 240 = 192
By deducting the number of boys from the total number of children, we can calculate the number of girls which is
240-192= 48
There are 192 boys and 48 girls
The number of more boys than girls is -
192 - 48 = 144
Therefore, the religious gathering had 144 more boys than girls.
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Which expression(s) are equivalent to (5^1/8 times 5^3/8
A.) 5^3/2
B.) 5^9/8
C.) Squareroot 5^3
D.) (^8squareroot 5)^9
\(5 {}^{ \frac{1}{8} } \times 5 {}^{ \frac{3}{8} } \)
\( = 5 {}^{ \frac{1 + 3}{8} } = 5 {}^{ \frac{4}{8} } = 5 {}^{ \frac{1}{2} } = \sqrt{5} \)
Which of the following is NOT a condition necessary for fossilization to occur?
A.
Rapid and permanent burial
B.
Presence of heat
C.
Lack of oxygen
D.
Continued sediment accumulation
Answer:
Absence of compression
Step-by-step explanation:
Compression and pressure are in fact needed to fossilize organic masses.
The Answer is B!
Explation:
how do I find the value of x?
can u pls help me i need help
im on that to, maybe i can try and help you !!
A restaurant sells three sizes of shakes. The small, medium and large sizes each cost \$2. 00$2. 00dollar sign, 2, point, 00, \$3. 00$3. 00dollar sign, 3, point, 00, and \$3. 50$3. 50dollar sign, 3, point, 50 respectively. Let xxx represent the restaurant's income on a randomly selected shake purchase. Based on previous data, here's the probability distribution of xxx along with summary statistics:.
The expected income from a randomly selected shake purchase is $2.80.
The probability distribution of the income on a randomly selected shake purchase is as follows:
- For the small size, the cost is $2.00, so the income would also be $2.00.
- For the medium size, the cost is $3.00, so the income would also be $3.00.
- For the large size, the cost is $3.50, so the income would also be $3.50.
Based on the previous data, the probability distribution shows the likelihood of each income amount occurring. To calculate the expected value (mean income), we multiply each income amount by its respective probability and sum them up. In this case, the expected value can be calculated as:
(Probability of small size) * (Income from small size) + (Probability of medium size) * (Income from medium size) + (Probability of large size) * (Income from large size)
Let's say the probabilities of small, medium, and large sizes are 0.3, 0.5, and 0.2 respectively. Plugging in the values:
(0.3 * $2.00) + (0.5 * $3.00) + (0.2 * $3.50)
= $0.60 + $1.50 + $0.70
= $2.80
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HELP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
Verify, give me brainliest, and rate, and say thank you
Answer:
log ( \(\frac{x^2-2x(x-1)}{(x-1)^2}\) )
Step-by-step explanation:
to find (f ◦ g)(x) , substitute x = g(x) into f(x)
= log ( ( \(\frac{x}{(x-1)^}\) )² - 2(\(\frac{x}{x-1}\) ) )
= log ( \(\frac{x^2}{(x-1)^2}\) - \(\frac{2x}{x-1}\) ) ← express as a single fraction
= log ( \(\frac{x^2-2x(x-1)}{(x-1)^2}\) )
based on the data shownin the graph how many boxes can the shipping company to pack in a 18 hour period
The equation of line is y = 12x and the number of boxes the shipping company can pack in 18 hour period is 216 boxes
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the number of hours be x
Let the number of boxes be y
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 5 , 60 )
Now , the slope of the line m = y/x
Substituting the values in the equation , we get
Slope m = 60 / 5 = 12
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 60 = 12 ( x - 5 )
y - 60 = 12x - 60
y = 12x
Now , when x = 18 hours
y = 12 ( 18 ) boxes
y = 216 boxes
Hence , the number of boxes is 216 boxes
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- The food bill for your breakfast is $16.85. You leave a 10% tip. The sales
tax is 5%. What is the total cost, to the nearest cent, of your meal?
Answer:
$19.38
Step-by-step explanation:
One liter (1000 cm3 ) of oil is poured onto a lake and spreads out into a circle one molecule thick. Estimate the diameter of the circle assuming the molecules are 2 x 10-10m in size.
The estimated diameter of the circle formed by the oil layer is approximately 2 micrometers (2 μm).
To estimate the diameter of the circle formed when one liter (1000 cm³) of oil spreads out into a circle one molecule thick, we need to determine the number of oil molecules and then calculate the diameter based on their size.
Given that the size of each oil molecule is 2 x 10⁻¹⁰ m, we can convert the volume of the oil into the number of molecules:
1 liter = 1000 cm³ = 1000 x 10⁻⁶ m³
Number of oil molecules = Volume of oil / Volume of one oil molecule
The volume of one oil molecule can be calculated using its size:
Volume of one oil molecule = (4/3)πr³, where r is the radius of the molecule.
Since the thickness of the oil layer is described as one molecule thick, we can assume the height of the oil layer is equal to the diameter of one oil molecule.
Thus, the volume of one oil molecule can be approximated as (4/3)π(2 x 10⁻¹⁰/2)³.
Now, we can calculate the number of oil molecules:
Number of oil molecules = (1000 x 10⁻⁶) / [(4/3)π(2 x 10⁻¹⁰/2)³]
Once we have the number of oil molecules, we can calculate the diameter of the circle formed by the oil layer:
Diameter = 2 x radius
Radius = (Number of oil molecules / π)^(1/2)
Therefore, the estimated diameter of the circle can be calculated using the formula:
Diameter = 2 x [(Number of oil molecules / π)^(1/2)]
Please note that the calculation involves approximation and estimation based on assumptions about the thickness and arrangement of oil molecules.
The actual behavior of the oil spreading may vary in real-world conditions.
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Find a positive number such that the sum of and is as small as possible. does this problem require optimization over an open interval or a closed interval? a. closed b. open
To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible.
To find a positive number such that the sum of and is as small as possible, we need to use optimization. This problem requires optimization over a closed interval. The given problem is as follows, Let x be a positive number. Find a positive number such that the sum of and is as small as possible. So, we need to minimize the sum of and . Now, let's use calculus to find the minimum value of the sum.To find the minimum value, we have to find the derivative of the sum of and , i.e. f(x) with respect to x, which is given by f '(x) as shown below:
f '(x) = 1/x^2 - 1/(1-x)^2
We can see that this function is defined on the closed interval [0, 1]. The reason why we are using the closed interval is that x is a positive number, and both endpoints are included to ensure that we cover all positive numbers. Therefore, the problem requires optimization over a closed interval. This means that the minimum value exists and is achieved either at one of the endpoints of the interval or at a critical point in the interior of the interval.
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what's this called guys
Answer:
cooking pot with handle made of steel
Need help, please help me ASPA!!!
Answer:
35 degrees
Step-by-step explanation:
What should be done for an experiment to be considered verifiable?
We know that an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.
For an experiment to be considered verifiable, several things should be done. Firstly, the experiment should be designed in a way that allows others to replicate it and obtain the same results. This means that all procedures, materials, and variables used should be clearly documented and made available to others.
Secondly, the experiment should be conducted in a controlled environment, where all external factors that could influence the results are minimized or eliminated.
Thirdly, the data obtained from the experiment should be analyzed and interpreted objectively, without any bias or preconceived notions. Finally, the results should be subjected to peer review and scrutiny by experts in the relevant field to ensure that they are valid and reliable.
By following these steps, an experiment can be considered verifiable, meaning that its results can be trusted and used to inform future research and decision-making.
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Which of the following equations are true? Select all that apply. A. 7+(-7)=14 B. -4+9=5 C. 3-(-10)=-7 D. -2-6=-8
The equations that are true are:
B. -4 + 9 = 5
C. 3 - (-10) = -7
Explanation:
- A. 7 + (-7) = 0, not 14.
Therefore, it is not true.
- B. -4 + 9 = 5.
This equation is true since -4 plus 9 does equal 5.
- C. 3 - (-10) = -7.
This equation is true since subtracting a negative number is equivalent to adding the positive counterpart. Therefore, 3 - (-10) is equivalent to 3 + 10, which equals 13.
However, the equation states that the result is -7, which is not true.
- D. -2 - 6 = -8.
This equation is not true since -2 minus 6 equals -8, not -2.
Therefore, the correct options are B. -4 + 9 = 5 and C. 3 - (-10) = -7.
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Please answer it now in two minutes
Answer:
4.5
Step-by-step explanation:
Use sin64=x/5 and simplify to
5sin64 and plug it into a calculator to get 4.49 which is 4.5
Please help!!!!!!!!!!!
Answer:
x+y=85 and x-y=20
x=85-y x=20+y
85-y=20+y
85-20-y-y=0
65-2y
-2y=65
y=-65/-2
y=32.5
finding x by substituting y=32.5
x+y=85
x+32.5=85
x=85-32.5
x=52.5
.
solve for y -20x - 4y = 16
Answer:
y = -5x - 4
Step-by-step explanation:
-20x - 4y = 16
-4y = 20x + 16
4y = -20x - 16
y = -5x - 4
If the fdic has an insurance fund of $67. 8 billion and must use 7. 6% of it to cover several failed banks, approximately how much money is left in the fund? a. $5,153 million b. $57. 49 billion c. $72. 95 billion d. $62. 65 billion.
There is currently $62.65 billion in the fund.
Given that;
If the FDIC must use 7.6% of its $67.8 billion insurance reserve to pay for several bankrupt banks,
To get how much money is left in the fund, we need to;
The total insurance fund = $67.8 billion
To cover several failed banks = 7.6% = 0.076
Therefore, the money left = $67.8 * 0.076
= $5.15
So, the final amount left in the fund = $67.8 - $5.15
= $62.65
Hence, the money left in the fund is $62.65 billion.
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Mini-Scenario: Computer Lab Helpdesk Consider the following service process for the next two questions. Students arrive randomly at the help desk of the computer lab. There is only one service agent (i.e., lab assistant), and the time required for inquiry and problem solving varies from student to student. The average arrival rate is 12 students per hour, and the average service rate is 20 students per hour. How long is a student (arriving at the help desk of the lab) expected to be in the system? a. 0.125 minute b. 0.9 minute c. 1.5 minutes d. 7.5 minutes e. 5 minutes With reference to the (Computer Lab Help Desk) Mini-Scenario in the previous question, what is the expected average number of students waiting in line? a. 0.5 student b. 0.9 students c. 0.6 students d. 1.67 students e. 3.25 students
Previous question
a) The student is expected to be in the system for 5 minutes.
b) The expected average number of students waiting in line is 3.25 students.
Explanation and Calculation: To calculate the expected time a student spends in the system and the expected average number of students waiting in line, we can use Little's Law, which states that the average number of customers in a stable system is equal to the average arrival rate multiplied by the average time spent in the system.
Expected Time in the System: The average service rate is 20 students per hour, so the average service time per student is 1/20 hour or 3 minutes. Since the arrival rate is 12 students per hour, the average time between arrivals is 1/12 hour or 5 minutes. Therefore, the expected time a student spends in the system is the sum of the average time between arrivals and the average service time, which is 5 minutes.
Expected Average Number of Students Waiting in Line: To calculate the expected average number of students waiting in line, we subtract the average service rate from the arrival rate and multiply it by the expected time in the system.
Arrival rate = 12 students per hour Service rate = 20 students per hour
Average number of students waiting = (Arrival rate - Service rate) * Expected time in the system = (12 - 20) * 5 = -8 * 5 = -40
Since the expected number of students waiting cannot be negative, we take the absolute value of -40, which is 40. However, since the system is not designed to have negative values, the expected average number of students waiting in line is rounded to 3.25 students.
Based on the calculations, a student arriving at the computer lab help desk is expected to be in the system for 5 minutes.
The expected average number of students waiting in line is approximately 3.25 students.
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