Answer:
The answer is 5^-4.
Hope this helps and if you could mark this as brainliest. Thanks!
Answer:
\(\frac{1}{5^{4}}\)
Step-by-step explanation:
\(\frac{a^{m}}{a^{n}}=\frac{1}{a^{n-m}},\) if n >m
\(\frac{5^{3}}{5^{7}} = \frac{1}{5^{7-3}}=\frac{1}{5^{4}}\)
\( \sqrt{64 \: } \)
the square root
x⁴+8x³+34x²+72x+81 factories it.
Answer:
The expression x⁴ + 8x³ + 34x² + 72x + 81 cannot be factored further using simple integer coefficients. It does not have any rational roots or easy factorizations. Therefore, it remains as an irreducible polynomial.
Which of the following points would make the equation 3x-4y=16
Answer:
Where are the points or the picture?
4.2kg of oranges are £8.76. How much does 2kg cost
Answer:
x = 4.17
Step-by-step explanation:
We can use a ratio to solve
4.2 k 2 k
---------------- = ---------------
8.76 x
Using cross products
4.2 * x = 2 * 8.76
4.2x =17.52
Divide by 4.2
x=4.17
Answer:
2kg cost £4.18
Step-by-step explanation:
4.2 kg of oranges cost £8.76
:. 1 kg of orange cost £8.76/4.2 = £2.09
2kg cost 2 × £2.09 = £4.18
PLEASE HEEELELPOSKAKS! Thank you. XD
Answer: it is B
Step-by-step explanation: i did the math and that is the correct decimal form
Answer:
B
Step-by-step explanation:
We can convert 3 7/15 to:
Improper fraction: 52/15
Decimal: 3.46666666666.....7 (infinite)
Percentage: 346.666666.....7% (infinite)
Hence the only one that matches is the decimal form, so B.
Hope this helps! :)
A)How much material does he need to cover the one rectangular side of the tent with the rip? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer:
B)If David’s dad wanted to recover the whole tent including the bottom, how much material would he need? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning.
Answer:
C)What is the volume of the tent? Justify your answer using equations/formulas, models, and/or words to explain your mathematical reasoning. (You need to find the area of one of the triangular bases, and then you can take that measurement and multiply it with the height of the entire prism. ) V=Bh, where B = area of one of the triangular bases
Answer
He would need 54 ft² material to cover the one rectangular side of the tent with the rip and 213 ft² to recover the whole tent including the bottom. The volume of the tent is 189 ft³.
Part A
He would need 54 ft² material to cover the one rectangular side of the tent with the rip. As we have to find the area of a rectangular side of a rectangle we will use the formula Area= Length × Width
∴ Area of a Rectangle = length of the rectangle × width of the rectangle
A = 9 × 6
A = 54 ft²
Part B
David's dad would need 213 ft² material to recover the whole tent including the bottom. We know that the 2 sides of the tent are 54 ft² each. So, the total is 54 × 2 = 108 ft².
We will now find the area at the bottom of the tent
A = 7 × 9
A= 63 ft²
We will now find the area of the triangular sides
Triangle Area = 1÷2 × b×h
A = 1÷2 × 7 × 6
A = 1÷2 × 42
A = 21 ft²
As there are 2 triangular sides so we have to multiply it by 2
∴ 21 × 2 = 42 ft²
Add all the sides together 108 63 + 42 = 213 ft²
Part C
The volume of the tent is 189 ft³. It can be found by applying the formula V= b×h
Triangle area = 1÷2 × bh
A = 1÷2 ×7 × 6
A= 1÷2 × 42
A= 21
With a=21 as B and h= 9ft and applying the formula v=Bh
We have,
v = 21 × 9
v = 189 ft³
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Some molecules needed for survival cannot be synthesized by the cell but instead must be obtained from the environment. These types of molecules include vitamins and amino acids and are collectively called ______ ______.
Some molecules which cannot be synthesized by cell but must be obtained from environment, then these types of molecules include vitamins and amino acids and are known as growth factors.
The "Growth-factors" are essential for various biological processes, including cell growth, development, and repair. They act as signaling molecules that bind to specific receptors on cells, initiating intracellular signaling pathways and triggering specific cellular responses.
By providing these molecules, the environment supports the cell's ability to function properly and carry out vital processes necessary for growth, development, and overall survival.
Obtaining growth factors from the environment becomes crucial in maintaining the necessary balance of these molecules for the cell's optimal functioning.
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A bag contains 4 yellow marbles, 5 red marbles, and 8 green marbles. What is the probability of randomly selecting a yellow marble from the bag?
The probability of randomly selecting a yellow marble from the bag that contains 4 yellow marbles, 5 red marbles, and 8 green marbles
What is probability?Probability refers to the chance or likelihood of achieving an expected outcome, success, or event out of many possible outcomes, successes, or events.
Probability lies between 0 and 1, depending on the level of certainty and can be expressed as a fraction, decimal, or percentage.
The number of yellow marbles in the bag = 4
The number of red marbles in the bag = 5
The number of green marbles in the bag = 8
The total number of marbles in the bag = 17
The probability of selecting a yellow marble from the bag = 0.2353 (4 ÷ 17)
= 23.53%
Thus, the probability that one chooses a yellow marble from the bag of 17 marbles is 23.53%.
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Can a logarithmic equation have a negative number as a solution? Explain your answer, and provide examples to justify your answer.
Answer:
Logarithms cannot have non-positive arguments (which are negative or zero), but quadratics and other equations can have negative solutions.
I hope that helped
In summer2021, electric power at peak usage times costs about 0.64 $/kWh ≈ 1.8 × 10−7 $/J. An ordi-
nary electrically-powered device in a home might operateat 110 V and 0.12 A. What is the cost per second to power
such a circuit during the peak usage period?
The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:
Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:
P = 110V x 0.12A
= 13.2 W
Calculate the cost per second-The cost per second can be calculated using the formula:
Cost per second = Power x Cost per Joule
C = P x CC
= 13.2 W x 1.8 x \(10^-7\) $/J
≈ 2.376 x 10^-6 $/s
Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.
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Properties of exponents
Rewrite the expression in the form b^n—— (b^2)^3/7
Answer:
\(b^{\frac{6}{7}}\) is the required expression.
Step-by-step explanation:
\((b^2)^{\frac{3}{7}}\\\\\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0\\\\=b^{2\cdot \frac{3}{7}}\\\\=b^{\frac{6}{7}}\)
Best Regards!
what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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help its due in 3 mins
Which term describes the set of all possible output values for a function?
A. Range
B. Output
C. Domain
оо
D. Input
What angle relationship is demonstrated by x and y?
Answer:
corresponding angles
Step-by-step explanation:
x and y are in the same position in relation to the lines. They are to the right of the transversal and above the horizontal lines.
This means they are corresponding angles
A process flowchart uses which of the following symbols to represent a decision point in a flow diagram? A. Rectangle B. Arrow C. Inverted triangle. D. Diamond
Decision points
are represented in the flowchart using a diamond symbol. Answer: D. Diamond.
A
flowchart
is a kind of diagram that is used to represent an algorithm, workflow, or process. A flowchart comprises different shapes, which represent distinct steps or activities in a procedure. Flowcharts are used in different fields, such as education,
engineering
, programming, and business, to demonstrate decision making, problem-solving, process control, and project management.
Flowcharts are used to:
Visualize
processes and workflows that need to be organized or improved
Communicate a sequence of steps that are essential to complete a project
Identify the root cause of a problem
Illustrate the steps of a procedure to new employees or staff members
A decision point in a flowchart is a point where the sequence of flowchart changes its direction based on the
outcomes
of the preceding steps. Decision points are represented in the flowchart using a diamond symbol.
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3.3. about how long after shaking begins during the tangshan earthquake does it take the last building collapses? question 3 options: a. 1 minute b. 2 minutes c. 4 minutes d. 8 minutes
About two minutes long after shaking begins during the tangshan earthquake does it take the last building collapses.
At 3:42 am, an earthquake of magnitude 7.8 to 8.2 struck Tangshan, a Chinese industrial city of about one million people. The quake was particularly costly in terms of human life because most people slept in beds rather than outside the relatively safe streets. occurred along an unknown fault in the Cangdong fault system near the confluence of the The Tangshan fault is a north-northeast-trending strike-slip fault. An estimated 242,000 people died in Tangshan and surrounding areas, making the earthquake one of the deadliest in recorded history, with 300,000 killed in the Calcutta earthquake of 1737, believed dead in 1556. Shaanxi Province, where 830,000 people died of Chinese nationality. It lasted 23 seconds and destroyed 90% of Tangshan's buildings. At least 250,000 killed and 160,000 injured
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according to the national retail federation, the average shopper will spend $1,007.24 during the holiday shopping season. what is the null and alternate hypothesis?
a. Sample population is needed to complete the hypothesis
b. Hθ:ն≥1007.24;HAն≤1007.24
c. Hθ:ն≠1007.24;HAն≤1007.24
d. Hθ:ն=1007.24;HAն≤1007.24
Option B Hθ:ն≥1007.24;HAն≤1007.24 represents the null hypothesis (H₀) stating that the average expenditure is equal to or greater than $1,007.24, and the alternative hypothesis (Hₐ) stating that the average expenditure is less than $1,007.24.
The null hypothesis (H₀) and alternative hypothesis (Hₐ) for the given scenario can be determined as follows:
Null Hypothesis (H₀): The average shopper will spend an amount equal to or greater than $1,007.24 during the holiday shopping season.
Alternative Hypothesis (Hₐ): The average shopper will spend an amount less than $1,007.24 during the holiday shopping season.
Based on the given options, the correct choice is:
b. Hθ:ն≥1007.24;HAն≤1007.24
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Evaluate each function
The function is given as g(n) = -n + 5 then the value of g(1) is 4. the correct option is B.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output. . Simplification usually involves making the expression simple and easy to use later.
The procedure in mathematics to utilize and analyze the function or expression to make the function or expression uncomplicated or more coherent is called simplifying and the process is called simplification.
From the given function, g(n) = -n + 5
By plugging in the value of 'x' in the bracket, we have;
g(n) = -n + 5
g(1) = -1 + 5
g(1) = 4
Therefore, the value of function is 4.
Hence, the correct option is B.
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Sharon, Mark, Beverly and Bruce each work as a doctor, lawyer, teacher or farmer. From the clues below, decide who is the farmer?
1. Mark is not a teacher or a farmer.
2. Beverly is either a teacher or a doctor.
3. Bruce is not a lawyer or a farmer.
4. The doctor is a man.
A. Sharon
B. Mark
C. Beverly
D. Bruce
9514 1404 393
Answer:
A. Sharon
Step-by-step explanation:
Mark is a Doctor or Lawyer, not a farmer.
Beverly is a Doctor or Teacher, not a farmer.
Bruce is a Doctor or Teacher, not a farmer.
Sharon is the only possible candidate for being a farmer.
Sharon is the farmer.
___
Bruce is the Doctor; Mark is the Lawyer; Beverly is the Teacher.
Answer:mark
Step-by-step explanation:the last clue says its mark or bruce beverly is a teacher sharon is the farmer 3 says bruce is not a lawyer so the doctor is mark
mark me brainliest plz
someone help ME PLZZZZ
Answer:
a+b
Step-by-step explanation:
. 10 people can complete 8 large jigsaw puzzles in 6 hours. the same 10 people can complete 12 small jigsaw puzzles in 3 hours. assume everyone works at the same pace, and the puzzles of each type are all the same size. how long will it take 1 person to complete 1 large and 1 small jigsaw puzzle?
In linear equation , 2 Hours long will it take 1 person to complete jigsaw puzzle.
What is linear equation give example?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.Equations with a degree of one are called linear equations. It is the straight line's equation. Ax+by+c = 0, with variables a and b equal to 0, is the formula for a linear equation.time = rate₁ + rate₂
= 1 . 1 + 1 . 1
= 1 + 1
= 2 hours
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discuss any two advantages of superposition theorem
compared to other circuit theorms
The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.
Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:
Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.
Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.
It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.
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A vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed). Determine the operating characteristics of this system.
Which type of queuing problem is this?
a) Finite Population
b) Undefined Service Rate
c) Multi-Server
d) Finite Que
e) Constant Service Rate
f) Simple Single Server
The given problem involves Simple Single Server queuing model.In the given problem, a vending machine at City Airport dispenses hot coffee, hot chocolate, or hot tea, in a constant service time of 20 seconds. Customers arrive at the vending machine at a mean rate of 60 per hour (Poisson distributed).
The operating characteristics of this system can be determined by using the following formulas:Average Number of Customers in the System, L = λWwhere, λ= Average arrival rateW= Average waiting timeAverage Waiting Time in the System, W = L/ λProbability of Zero Customers in the System, P0 = 1 - λ/μwhere, μ= Service rateThe given problem can be solved as follows:Given that, λ = 60 per hourSo, the average arrival rate is λ = 60/hour. We know that the exponential distribution (which is a Poisson process) governs the time between arrivals. Therefore, the mean time between arrivals is 1/λ = 1/60 hours. Therefore, the rate of customer arrivals can be calculated as:μ = 1/20 secondsTherefore, the rate of service is μ = 3/hour.
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solve for x in the triangle. round your answer to the nearest tenth.
Answer:
3.7
Step-by-step explanation:
Hypotenuse is 5
Adjacent is unknown x
Cos 42 = adjacent / hypotenuse
Co's 42 = x/ 5
0.74 = x/5
Multiply both sides by 5
3.7 = x
Solve for c.
2c-9
——— =8
2
Answer:
c=12.5
Step-by-step explanation:
Multiply both sides by 2 to get rid of the fraction.
You are left with 2c-9=16
Add 9 To both sides
You are left with 2c=25
Divide both sides by 2 to get C by itself
You are left with c=25/2
Simplify
c=12.5
write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
10) Determine whether the events of rolling a fair die two times are disjoint, independent, both, or neither. A) Disjoint. B) Exclusive. C) Independent. D) All of these. E) None of these.
The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.
When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:
There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.
There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).
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Which polynomial is prime?
7x2 – 35x + 2x – 10
9x3 + 11x2 + 3x – 33
10x3 – 15x2 + 8x – 12
12x4 + 42x2 + 4x2 + 14
1. Determine if the lengths 9 cm, 13 cm, and 23 cm can form a triangle.
a. What are the two shortest side lengths?
acmt 15-24
b. Find the sum of the two shortest side lengths.
c. What is the longest side length?
d. Is the sum of the two shortest side lengths more than the length of the longest side?
e. Can the lengths 9 cm, 15 cm, and 23 cm form a triangle?
f. Fill in the blank so the three lengths will NOT form a triangle. 9 cm, 15 cm,
ст
2. Describe how to determine if three lengths form a triangle.