Viable answers are valid and workable solutions to a problem or question, while non-viable answers are either invalid or impractical. Viable answers lead to successful outcomes, while non-viable answers lead to wasted time and effort.
A viable answer is a response that is both valid and workable, meaning that it is a possible solution to a particular problem or question.
A non-viable answer, on the other hand, is a response that is either invalid or impractical, meaning that it cannot be considered a feasible solution.
For example, if you were solving a math problem, a viable answer would be one that is both correct and can be proven using the appropriate mathematical principles. A non-viable answer would be one that is incorrect or cannot be supported by the relevant mathematical rules.
It is important to distinguish between viable and non-viable answers because the former can lead to successful outcomes, while the latter can lead to wasted time and effort.
Additionally, viable answers are often the result of careful analysis and critical thinking, while non-viable answers are often the result of guesswork or inadequate understanding of the problem at hand.
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Final answer:
A viable answer is supported by correct and logical reasoning, while a non-viable answer may be correct but lacks valid argumentation or is based on incorrect assumptions. Subjective questions or those with technical limitations require context-specific responses, and in science, viable answers must be empirically testable.
Explanation:
Understanding the difference between a viable answer and a non-viable answer is crucial in educational settings. A viable answer not only provides a correct solution but is supported by logical reasoning and evidence. On the other hand, a non-viable answer, regardless of its correctness, lacks coherent reasoning or is based on faulty premises. For instance, to consider an organism "alive," biologists typically require that it exhibits certain characteristics such as metabolism and the ability to reproduce. An example of a non-viable answer would be stating a virus is "alive" because it can reproduce; however, this overlooks the fact that viruses do not have a metabolism and require a host cell to replicate.
Moreover, in questions of subjective nature or those bounded by technical limitations, what might constitute a viable answer often depends on the context and the refinement of the question. For instance, a question about the value of life from different religious and non-religious perspectives cannot have a single, universally correct answer, and therefore, responses would vary based on individual beliefs and interpretations.
Lastly, in scientific inquiries, distinguishing between questions that are answerable through scientific methods versus those that are not is a key skill. Scientific questions are those that can be tested and substantiated by evidence and experimentation, whereas non-scientific questions rely on personal judgment, opinion, or beliefs. Science can provide viable answers backed by empirical evidence, such as the concept of viable but nonculturable (VBNC) states in cells, which is a scientific theory that can be tested under specific conditions.
To solve this equation: d/5 + 12 = -15, which step will be performed last?
Let's go through the steps.
d/5 +12 = -15
1. Multiply both sides by 5.
Doing this we get:
d + 60 = - 75
2. Subtract 60 from both sides.
d = - 75 - 60
d = -135
Step 2 above is the final step taken to find the value of d.
Evaluate the expression if x = 3 and y = 11. 3x + 2y
Answer:
31
Step-by-step explanation:
Answer:
31
Step-by-step explanation:
3(3)+2(11)=31
What is the coefficient of b in the expression b + 10? Explain.
Answer:
The coefficient of b is 1
Step-by-step explanation:
we know that
In a mathematical equation, a coefficient is a constant by which a variable is multiplied
so
A coefficient is a constant multiplied by a variable.
In this problem we have
b+10
Rewrite'
b+10=(1)b+10
therefore
The coefficient of b is 1
Julias text messaging plan costs $8 for the first 400 messages and 20e for each additional text message. If she owes $24.00 for text messaging in the month of
September, how many text messages did she send that month?
Julia sent 401 text messages in the month of September.
Explanation:To find the number of text messages Julia sent, we can set up an equation using the given information.
Let's assume she sent x additional messages.
The cost of the additional messages would be 20x.
Since her total cost is $24, we can write the equation:
8 + 20x = 24
Subtracting 8 from both sides gives:
20x = 16
Dividing both sides by 20 gives:
x = 0.8
Since x represents the additional messages sent, we can round it to the nearest whole number.
Therefore, Julia sent 1 additional text message.
In order to find the total number of messages sent, we can add the initial allowance of 400 messages to the additional message:
Total messages sent = 400 + 1 = 401 text messages.
Final answer:
Julia sent a total of 401 text messages in September.
Explanation:
Julia's text messaging plan costs $8 for the first 400 messages and $20 for each additional text message. To find out how many text messages she sent in September, we need to determine the number of additional text messages she sent beyond the first 400. Let's assume she sent x additional text messages. The additional cost for these text messages would be 20 * x. We can set up an equation to solve for x:
$8 + 20x = $24
Subtracting $8 from both sides gives:
20x = $16
Dividing both sides by 20, we get:
x = $16 / 20 = 0.8
Since we cannot have a fraction of a text message, Julia must have sent 1 additional text message beyond the first 400. Therefore, she sent a total of 401 text messages in September.
Which expression is equivalent to (2r2+r - 1) – (3r2+48 - 5)?
-p2 – 3r+4
°-p2 + 58 - 6
5r²+5r-6
5r2 - 3r + 4
The specified expression simplifies to -r² + r - 44. Steps to find equivalent expressions include gathering like terms and utilizing the distributive property.
Explanation:
The expression (2r²+r-1) – (3r²+48-5) can be rewritten as 2r²+r-1 - 3r² - 48 +5. For the r² terms, combine 2r² and -3r² to get -r². For the constant terms, combine -1, -48 and +5 to get -44. And there's only one r term which is r. Together, these give the equivalent expression as -r² + r - 44.
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The expression equivalent to (2r2 + r - 1) - (3r2 + 48 - 5) is -r2 + r - 44.
Explanation:To find the equivalent expression, we need to distribute the negative sign into the second set of parentheses.
Then, combine like terms.
The expression becomes: (2r2 + r - 1) - 3r2 - 48 + 5.
Combining like terms further, we have: 2r2 + r - 1 - 3r2 - 48 + 5
Now, combine the like terms again: (2r2 - 3r2) + r + (-1 - 48 + 5). Simplifying this gives us: -r2 + r - 44
Therefore, the expression equivalent to (2r2 + r - 1) - (3r2 + 48 - 5) is -r2 + r - 44.
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What is the least common multiple of 15 and 90
Answer:
90
Step-by-step explanation:
Divide the larger number by the smaller number
If the remainder is zero then the larger number is the LCM
If not repeat with multiples of larger number
90 ÷ 15 = 6 remainder 0
Since remainder is 0 then 90 is the LCM of 15 and 90
Jessica picked oranges for 2 days during school vacation. She was paid $0.45 per basket for the first 100 baskets picked each day and $0.50 apiece for all baskets over 100 picked. On the first day, Jessica picked 65 baskets of oranges. On the second day, she picked 135 baskets. What is the total amount of money that Jessica received for picking oranges?
SHOW ALL WORK
Answer:
$91.75
Step-by-step explanation:
Jessica is paid:
$0.45 per basket for the first 100 baskets picked;$0.50 per basket for all baskets over 100 picked.1st day:
Jessica picked 65 baskets of oranges (less than 100)
Jessica is paid [tex]65\cdot \$0.45=\$29.25[/tex]
2nd day:
Jessica picked 135 baskets of oranges (35 more than 100)
Jessica is paid [tex]100\cdot \$0.45+35\cdot \$0.50=\$45+\$17.50=\$62.50[/tex]
Altogether Jessica is paid
[tex]\$29.25+\$62.50=\$91.75[/tex]
A man was surprised when he found an old bank account statement in his mother’s attic. Money had been left for 30 years in a bank account paying simple annual interest. The statement showed that originally $500 had been put into the account. When he called the bank, he found that there is now $1550 in the account! What is the annual interest rate?
Answer:
7%
Step-by-step explanation:
Answer:
7% is the correct answer
given the domain (-2,2,4) what is the range for the relation 3x-y=3
Final answer:
The range for the relation 3x - y = 3 with the domain (-2,2,4) is calculated by substituting each domain value into the equation, resulting in the range (-9, 3, 9).
Explanation:
To find the range for the relation 3x - y = 3 given the domain (-2,2,4), we need to substitute each value from the domain into the equation and solve for y. Here's how you do it step by step:
For x = -2: 3(-2) - y = 3; -6 - y = 3; y = -6 - 3; y = -9.For x = 2: 3(2) - y = 3; 6 - y = 3; y = 6 - 3; y = 3.For x = 4: 3(4) - y = 3; 12 - y = 3; y = 12 - 3; y = 9.The range for the given domain is (-9, 3, 9).
Can some help me pleaseeee.
Answer:
I cant answer it because it blocked the equation can you show the details on text?
Step-by-step explanation:
What is the answer ? Explain.
Answer:
152
Step-by-step explanation:
4(3x + 5)
4(3(11) + 5)
4(33 + 5)
4(38)
152
Simplify the expression (StartFraction 1 Over 4 a b EndFraction) Superscript negative 2. Assume a not-equals 0, b not-equals 0.
Answer:
The simplest form of the expression is 16 a²b²
Step-by-step explanation:
* Lets explain how to solve the problem
- To simplify any fraction with exponent you must put it with positive
exponent
- Ex: the fraction [tex](\frac{2}{3})^{-1}[/tex] not in the simplest form
because it has negative exponent
- To change the negative exponent to positive exponent reciprocal the
fraction, [tex](\frac{3}{2})^{1}[/tex] and this is the simplest form of the fraction
* Now lets solve the problem
∵ The expression is [tex](\frac{1}{4ab})^{-2}[/tex], where a and b ≠ 0
- At first reciprocal the fraction
∴ [tex](\frac{1}{4ab})^{-2}=(\frac{4ab}{1})^{2}[/tex]
- Then solve the power
∵ 4² = 16
∵ (ab)² = a²b²
∴ (4ab)² = 16 a²b²
* The simplest form of the expression is 16 a²b²
Answer:
16 a²b² is option D on e2020
Step-by-step explanation:
100% on test
Add. 4 7/12+2 3/4+7 5/12
A.13 3/4
B.14 1/4
C.14 3/4
D.15 1/4
Add.
4/5+3 1/10
Enter the sum in the box as a mixed number in simplest form.
Answer:
C.14¾
3 9⁄10
Step-by-step explanation:
[tex] \frac{4}{5} + 3 \frac{1}{10} = \frac{8}{10} + 3 \frac{1}{10} = 3 \frac{9}{10} [/tex]
[tex]4 \frac{7}{12} + 2 + \frac{3}{4} + 7 \frac{5}{12} = 13 \frac{12}{12} + \frac{3}{4} = 14 + \frac{3}{4} = 14 \frac{3}{4} [/tex]
I am joyous to assist you anytime.
Write an integer to represent each situation.
1. 46 degrees below zero
Answer:
= -46
Step-by-step explanation:
Since, it is below zero, it is in the negatives. Therefore, it is -46.
Answer:
-46
Step-by-step explanation:
Anything below zero is going to be a negative integer. Your problem asks to write an integer to represent 46 degrees below zero. So, we would write the number 46 with the negative symbol, which is ( - ). There for the correct answer would be -46.
Here are some other examples:
54 degrees below zero → -54
negative 120 → -120
16 degrees below zero → -16
Barry and Lou entered a hot dog eating contest. The winner of the contest is the person who can eat the most hot dogs in the allotted amount of time. Barry can eat 12 hot dogs in 9 minutes. Lou can eat 20 hot dogs in 16 minutes. Barry thinks with his rate he will win the contest.
Is Barry correct?
Answer:
Yes
Step-by-step explanation:
If you divide 12 by 9, you get 1.33... and if you divide 20 by 16, you get 1.25 so Barry can eat more hot dogs in less amount of time than Lou can.
Answer:
yes
Step-by-step explanation:
what is the answer to 5 over 35 simplalifying
Answer:
1/7
Step-by-step explanation:
Divide each number by 5.
5/5=1
35/5=7
Answer:
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 5 and 35 is 5
Divide both the numerator and denominator by the GCD
5 ÷ 5
35 ÷ 5
Reduced fraction:
1
7
a ^-4 / a ^-6 please simplify and show your work if possible <:D
[tex]\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{a^{-4}}{a^{-6}}\implies a^{-4}\cdot a^6\implies a^{-4+6}\implies a^2[/tex]
43tens×3tens=how many hundreds
Answer:
129 hundreds
Step-by-step explanation:
3 1/4 yards of fabric costs $27.95. what is the cost per yard
Answer:
8.6
Step-by-step explanation:
because 27.95 divided by 3.25=8.6
How many packs of DVD's can you buy with 180 dollars if one pack costs 12 dollars?
Final answer:
With $180 and each pack costing $12, you can buy 15 packs of DVDs.
Explanation:
Calculating the Number of DVD Packs
To determine how many packs of DVDs you can buy with $180 when one pack costs $12, you need to perform a simple division operation. You divide the total amount of money you have by the cost of one pack of DVDs:
$180 ÷ $12 per pack = 15 packs.
Therefore, with $180, you can buy 15 packs of DVDs.
Find the area of the parallelogram that has a base of 2 1/2 ft and a height of 1 1/4ft
Answer:
The area of the parallelogram is [tex]3\frac{1}{8}ft^{2}[/tex]
Step-by-step explanation:
Remember that a mixed fractions are composed for a whole number, a numerator and a denominator. For example in the mixed fraction [tex]2\frac{1}{3}[/tex]: 2 is the whole number, 1 is the numerator and 3 is the denominator.
If you want to convert to a improper fraction you need to multiply the whole number by the denominator and add to the numerator. The result will be the numerator of the improper fraction. The denominator remains the same.
[tex]2\frac{1}{3}=\frac{(2*3)+1}{3} =\frac{7}{3}[/tex]
1. Convert the mixed fractions in the improper fraction type, as follows:
[tex]Base= 2\frac{1}{2}=\frac{5}{2} \\ \\Height= 1\frac{1}{4}=\frac{5}{4}[/tex]
2. Replace the data in the equation of a parallelogram
[tex]Area= Base*Height[/tex]
[tex]Area= Base*Height\\Area=\frac{5}{2}ft *\frac{5}{4}ft\\Solve...\\Area=\frac{25}{8}ft^{2}[/tex]
3. Convert the improper fraction in a mixed fraction
[tex]Area=\frac{25}{8}ft^{2}=3\frac{1}{8}ft^{2}[/tex]
The area of the parallelogram is [tex]3\frac{1}{8}ft^{2}[/tex]
How do cows buy gifts
Answer:they dont
Step-by-step explanation:
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!! EXTRA POINTS!!!
What is the sum of the degrees of the interior angles of a 19-gon?
What is the sum of the exterior angles of a 25-gon?
A. 180
B. 360
C. 4,140
D. 165
Answer:
161.5 degrees
c- 4, 140
Answer: C
Step-by-step explanation: Subtract 2 from 25 to get 23. Then, multiply by 180. This equals 414p
As for the 19-gon, the sum is 360
One number is five less than three times another number. If the sum of the numbers is 3, find the numbers.
Answer:
First number 2
Second number 1
Step-by-step explanation:
Let the first number = x
Let the second number = 3x - 5
Equation
x + 3x - 5 = 3
Solution
x + 3x- 5 = 3 Combine
4x - 5 = 3 Add 5 to both sides
4x - 5 + 5 = 3 + 5 Combine
4x = 8 Divide by 4
4x/4 = 8/4 Combine
x = 2
3x -5 = 3(2)- 5 = 1
List the angles of rotation, separated by commas, less than 360° if the figure has rotational symmetry. If
the figure does not have rotational symmetry, enter the number zero.
The list of angles of rotation is
Answer:
The list of angle of rotation is zero
Step-by-step explanation:
* Lets revise some definitions about isosceles trapezoid
- An isosceles trapezoid is a trapezoid with congruent base angles
- An isosceles trapezoid has congruent legs
- An isosceles trapezoid has 1 axis of symmetry
- An isosceles trapezoid has no rotational symmetry
* Lets solve the problem
- From the attached figure:
∵ The figure is quadrilateral
∵ The quadrilateral has only a pair of parallel sides
∵ The parallel side not equal in length
∵ The other two sides of the quadrilateral are equal in length
∴ The quadrilateral is an isosceles trapezoid
∵ The isosceles trapezoid has no rotational symmetry
∴ There is no angle of rotation
∴ The list of angle of rotation is zero
Answer:
the answer is 0
Step-by-step explanation:
Martin paid $6 for 4 avocados at a farm stand. He wants to know what the price would be for buying different numbers of avocados? What is the price of 2 avocados?
Answer:
$3
Step-by-step explanation:
4/$6 = 2/$3
Answer:
3
Step-by-step explanation:
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if log x - log(2x-1)=1 find x
Answer:
x = 10/19
Step-by-step explanation:
[tex]log(x)-log(2x-1) = 1\\log\frac{x}{2x-1}=log(10)\\\frac{x}{2x-1}=10\\x = \frac{10}{19}[/tex]
The solution to the equation log x - log(2x-1) = 1 is x = 10/19.
We have,
To solve the equation log x - log(2x-1) = 1, we can use logarithmic properties to simplify the equation.
First, we can apply the quotient rule of logarithms, which states that
log a - log b = log(a/b).
Applying this rule to the equation, we get:
log(x / (2x-1)) = 1
Next, we can rewrite the equation in exponential form, using the definition that log base a of b is equivalent to a raised to the power of the logarithm equals b.
In this case, the base is 10 since we are using common logarithms (log base 10):
[tex]10^1[/tex] = x / (2x-1)
Simplifying the left side, we have:
10 = x / (2x-1)
To eliminate the denominator, we can multiply both sides of the equation by (2x-1):
10(2x-1) = x
Expanding the left side:
20x - 10 = x
Now, we can isolate the variable x:
20x - x = 10
19x = 10
Dividing both sides by 19:
x = 10/19
Therefore,
The solution to the equation log x - log(2x-1) = 1 is x = 10/19.
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c.
5 tomatoes for $3.10. What was the cost per tomato?
The cost per tomato is $0.63.
Answer:
The cost of each tomato is $0.62
Step-by-step explanation:
Consider the provided information.
5 tomatoes for $3.10.
We need to determine the cost per tomato.
To find this divide the number of tomatoes from the cost of tomatoes.
[tex]\frac{3.10}{5}=0.62[/tex]
Hence, the cost of each tomato is $0.62
what is the simplified form of the following expression? 3 sqrt 4x/5
Final answer:
The simplified form of the expression [tex]3 \sqrt(4x/5) \ is\ 6 \sqrt(5x) / 5[/tex]after performing the square root separately on the numerator and denominator, and then rationalizing the denominator.
Explanation:
The expression given is [tex]3 \sqrt(4x/5)[/tex]. To simplify this expression, we observe that the square root of 4 is a perfect square and equals 2. The square root of the fraction can be taken by applying the square root to the numerator and the denominator separately. Therefore, we have:
[tex]3 \times \sqrt(4) \times \sqrt(x) / \sqrt(5)[/tex]
Upon simplifying, we get:
[tex]3 \times 2 \times \sqrt(x) / \sqrt(5)[/tex]
This simplifies further to:
[tex]6 \sqrt(x) / \sqrt(5)[/tex]
However, it's not common to leave a square root in the denominator, so we can multiply both the numerator and the denominator by sqrt(5) to rationalize the denominator.
The final simplified form is:
[tex]6 \sqrt(5x) / 5[/tex]
Write 5.48 as a mixed number in simplest form.
5.48=
Answer:
5 12/25
Step-by-step explanation:
The first step is to separate the whole number number from the decimal.
that would be 5
Next would to see in which place the decimal number is in. .48 is in the hundredths place so we put 48 over 100 like this 48/100
So now we have the whole number 5 and the fraction 48/100
Lastly we simplify the fraction. 48 divided by 2 and 100 divided by 2
This equals 24/50
This can be simplified even more
24 divided by 2 and 50 divided by 2
This equals 12/25
Then we put the whole number in front and your final answer is
5 12/25