Bob solved the equation \large A=2x-xyz^2-w for y . Which variable is incorrect in his solution below?
Bob's solution: {A-2x}/{w-xz^2} =y
a
A
b
x
c
w
d
z
Answers
The variable which is incorrect in his solution as given in the task content is; Choice C; variable w.
Which variable is incorrect in his solution?It follows from the task content that the equation is to be solved for y.
Given; A = 2x -xyz² -w
Add w-2x to both sides of the equation;
A+w-2x = -xyz²
Divide both sides by; -xz²
y = {A+w-2x}/{-xz²}
Hence, the variable which is placed incorrectly in the task content is; w as it should appear Inthe numerator instead of the denominator.
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Related Questions
Meryl needs to cut down 10.5 trees for every 5 cabins she builds. how many trees would she need to build 7 cabins
Answers
Answer:
14.7 TreesStep-by-step explanation:
We solve this using a proportion.
\(\frac{10.5}{5} = \frac{x}{7}\)
10.5 x 7 = 73.5
5x = 73.5
x = 14.7
Now let's check the proportion.
\(\frac{10.5}{5} = \frac{14.7}{7}\)
10.5 x 7 = 73.5
14.7 x 5 = 73.5
73.5 = 73.5 ✅
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tallest living man at one time had the height of 237 cm is shortest living man at that time had the height of 139.5 cm height of men at that time had a mean of 177.71 cm and a standard deviation of 6.03 cm which of these two men had the height that was more extreme
Answers
Based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.
The question asks which of the two men, the tallest living man or the shortest living man at that time, had a height that was more extreme.
To determine this, we need to compare their heights to the mean and standard deviation of men's heights at that time.
The mean height of men at that time was 177.71 cm, and the standard deviation was 6.03 cm.
The tallest living man had a height of 237 cm, which is 59.29 cm above the mean (237 - 177.71 = 59.29).
The shortest living man had a height of 139.5 cm, which is 38.21 cm below the mean (177.71 - 139.5 = 38.21).
To determine which height is more extreme, we can compare the distance from each height to the mean.
The distance from the tallest man's height to the mean is 59.29 cm, while the distance from the shortest man's height to the mean is 38.21 cm.
Since the distance from the tallest man's height to the mean is greater than the distance from the shortest man's height to the mean, we can conclude that the tallest living man had the height that was more extreme.
In summary, based on the mean and standard deviation of men's heights at that time, the tallest living man had a more extreme height compared to the shortest living man.
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Are polynomials closed under addition and subtraction?
Answers
Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.
Exponents of polynomials are whole numbers.
Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.
If an operation results in the production of another polynomial, the resulting polynomials will be closed.
The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.
The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.
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The monthly electrically bill for a household is calculated by adding a fixed charge of GHC 15.50 to the cost of the number of units is 50Gp; what is the bill for a household that uses 111 units in a month
Answers
the bill for a household that uses 111 units in a month is 71.00 Cedis.
what is the bill for a household that uses 111 units in a month?The cost of each unit is 50Gp, which is equivalent to 0.50 Ghana Cedis. Therefore, the cost of 111 units is:
111 units × 0.50 Cedis/unit = 55.50 Cedis
Adding the fixed charge of GHC 15.50, the total bill is:
55.50 Cedis + 15.50 Cedis = 71.00 Cedis
Therefore, the bill for a household that uses 111 units in a month is 71.00 Cedis.
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4p + 5c = p.
Solve for c
Answers
you end up with 5c = -3p
divide by 5 on both sides
c = -3/5p
Answer:
4p + 5c = p
4p - 4p + 5c = p-4p
5c = -3p
5c/5 = -3p/5
c = -3p/5
hope that will help you
1. find the area of the figure at right. Dimensions are in inches
Answers
Answer:
292 in² (3 s.f.)
Step-by-step explanation:
The figure is made up of 2 semicircles and a rectangle.
Please see attached picture for full solution.
-2.12 = u/2 + 3 solve for u
Answers
Answer:
-10.24
You can double check this answer by plugging it in for u, so -10.24 dived by 2 then plus 3, which indeed equals -2.12
so, u does equals -10.24
Given that RHMO is a rhombus, find x, given that m ∠ 3 = 8x - 6
Answers
Answer:x = 12
because RHMO is a rhombus => MH⊥RO
=> m∠3 = 90°
⇒ 8x - 6 = 90°
⇔ 8x = 96
⇔ x = 96/8 = 12
Step-by-step explanation:
21.64 - (3)+(-8.89)-(-2 1/2)
Answers
What are the solutions for the equation m (m - 6) = 0? (Write the small number on the first blank and the larger number on the second blank) Question 10 options: Blank # 1Blank # 2
Answers
Step-by-step explanation:
m(m - 6) = 0
it is a square equation as m² - 6m = 0
so, there must be 2 solutions.
luckily, the initial firm of the equation gives us both of them right away.
when is m(m-6) = 0 ?
either m = 0 or m-6 = 0
so, m = 0 is the first solution.
and m-6 = 0 means m = 6 is the second solution.
a decagon has how many more vertices than a hexagon?
Answers
Answer:
IT HAS 4 MORE THAN
Step-by-step explanation:
IT IS BCUZ HEXAGON HAS 6
DECAGON- 10
10-6=4
bjorn is trying to estimate a difference in average sugar content in two different types of donut: one that is fat free, and one that is full fat. in order to do this, he collects 60 donuts to test: 22 donuts are fat free, 38 that are full fat. he says this satisfies his assumptions. is he right? if not what's wrong? (select all that apply)
Answers
The correct answers are His sample was not drawn at random ,he ought to purchase more fat-free donuts, he may look at the data's histogram to see whether it is roughly typical.
Given that, Bjorn is attempting to calculate the difference between the average sugar level of two distinct kinds of donuts: a fat-free kind and a full-fat variety.
He gathers 60 donuts to test in order to do this: There are 22 fat-free donuts and 38 full-fat donuts. The correct answers are A, D and E He did not get a random sample He should get more fat free donuts He could check the histogram of the data to see if it's approximately normal
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I need help with all of these questions you see on the top. there the red squares. please someone smart. this is one of the problems I need to finish this tonight.
Answers
Answer:
101°
Step-by-step explanation:
The angles BEA and BED are a linear pair. They total 180°. (They are supplementary.)
__
∠BEA +∠BED = 180° . . . angles of a linear pair are supplementary
79° +∠BED = 180° . . . . use the given angle value
∠BED = 101° . . . . . . . . . subtract 79°
What function/equation is best for this
Answers
What trigonometric ratio would you use to find the distance from the base of the tower of your keys ? Identify your choice, then calculate the distance
Answers
The choice trigonometric ratio is tangent and the distance is 3. 98 meters.
How to determine the trigonometric ratioThe given angle is 86
The opposite side is given as 57 meters
The distance is in the adjacent
Thus, trigonometric ratio to use is the tangent
Tangent = opposite/ adjacent
We have,
tan 86 = 57/x
14. 300 = 57/x
x = 57/ 14. 300
x = 3.i 98 meters
Thus, the choice trigonometric ratio is tangent and the distance is 3. 98 meters.
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Amy is creating a program where students enter as many animal species as they know in one minute. the student what data structure would be best for this task to hold one student's answers?
Answers
A suitable data structure for holding one student's answers in Amy's program would be an array.
Why is an array an appropriate choice for storing one student's answers in Amy's program?In Amy's program, an array would be an effective data structure for storing one student's answers within a given time limit. An array is a collection of elements of the same type, arranged in a contiguous block of memory. Each element in the array can be accessed using an index, which indicates its position within the array.
Using an array to store the animal species entered by a student allows for easy and efficient retrieval and manipulation of the data. Since the number of animal species a student can enter in one minute is not specified, an array provides the flexibility to accommodate a variable number of entries. The size of the array can be dynamically adjusted as needed, ensuring efficient memory usage.
Additionally, an array preserves the order in which the animal species are entered, which might be relevant for Amy's program. If the order of the entries matters, an array ensures that the sequence is maintained.
In terms of implementation, an array can be easily created in most programming languages. By initializing an array to hold the student's answers, each entry can be stored in the corresponding index of the array as the student inputs the animal species. The array can then be processed or analyzed further based on the program's requirements.
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soccer ball inflation:
How many pumps will it take to fill the large soccer ball with a circumference of 71 inches? Recall that the amount of air in one pump was about 11 cubic inches.
must show all work and justify work
Answers
Answer:
549 pumps
Step-by-step explanation:
We'll begin by calculating the radius of the larger ball. This can be obtained as follow:
Circumference (C) = 71
Pi (π) = 3.14
Radius (r) =?
C = 2πr
71 = 2 × 3.14 × r
71 = 6.28 × r
Divide both side by 6.28
r = 71 / 6.28
r = 11.3 in
Next, we shall determine the volume of the larger ball.
Since a ball is spherical in shape, we shall use the formula for calculating the volume of a sphere to obtain the volume of the ball. This can be obtained as follow:
Pi (π) = 3.14
Radius (r) = 11.3 in
Volume (V) =?
V = 4/3πr³
V = 4/3 × 3.14 × 11.3³
V = 4/3 × 3.14 × 1442.897
V = 6041 in³
Finally, we shall determine the number of pumps will it take to fill the large soccer ball. This can be obtained as follow:
11 in³ = 1 pump
Therefore,
6041 in³ = 6041 in³ × 1 pump / 11 in³
6041 in³ = 549 pumps
Thus, it will take approximately 549 pumps of air to fill the large soccer ball.
Brendon sells tires at the local auto parts store. He told a customer that the tire width for a new tire was 21.5 centimeters. Which of the following describes the tire width for the new tire? please help thank you!!!
A)21.5 feet
B)215 inches
C) 21.5 meters
D)215 millimeters
Answers
Answer:
Choice D
Step-by-step explanation:
When you convert a unit to a smaller unit it will always get bigger so in this case you will move the decimal point to the right so 21.5 will become 215.
Answer:
D) 215 millimeters
Step-by-step explanation:
A tortoise moves
at about 0.05
meters per
second. How
many
centimeters per
second does a
tortoise move?
Answers
Answer:
0.05 metrs = 5 cetimeters
Step-by-step explanation:
1 meter = 100 centimeters
0.05 meters = 0.05 * 100 = 5 centimeters
___________ would probably be distributed using an intensive strategy. A. iPods B. High-def television sets C. Men's suits D. Popular magazines
Answers
High-def television sets would probably be distributed using an intensive strategy. Therefore, option B. is correct.
Intensive distribution refers to a strategy where a product is made widely available through as many outlets as possible. This strategy is typically employed for products that have high demand, are low-cost, and require extensive market coverage. In the case of high-definition television sets, they are popular consumer electronics with a significant market demand.
To determine whether intensive distribution is suitable for high-def television sets, we consider the characteristics of the product. High-definition television sets are relatively low-cost compared to other options in the market, and they are in demand by a broad range of consumers. These factors suggest that an intensive distribution strategy would be appropriate for this product.
Based on the analysis, high-def television sets would most likely be distributed using an intensive strategy. This approach would ensure broad availability and accessibility for consumers, leveraging the product's popularity and fulfilling market demand. By making these television sets widely accessible through multiple outlets, manufacturers can reach a larger customer base, maximize sales potential, and effectively compete in the consumer electronics market.
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Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?
Answers
Hope this answer helps :)
Suppose we are given a sample of 60 observations from a distribution whose mean is 0 and variance is 3/5 Find approximately the probability that the sample mean lies in the interval (−0.05,0.05)
Answers
The approximate probability that the sample mean lies in the interval (-0.05, 0.05) can be found using the Central Limit Theorem.
According to the Central Limit Theorem, for a large sample size, the distribution of the sample mean approaches a normal distribution, regardless of the shape of the original population.
In this case, we are given a sample of 60 observations from a distribution with mean 0 and variance 3/5. Since the mean is 0, the sample mean is also expected to be around 0.
To find the probability that the sample mean lies in the interval (-0.05, 0.05), we can standardize the interval using the formula:
Z = (x - μ) / (σ / √n)
where Z is the standard normal variable, x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
Since the population variance is 3/5, the population standard deviation is √(3/5) = √3/√5 = √15/5 = √3/5.
Plugging in the values, we have:
Z = (0 - 0) / (√3/5 / √60)
= 0 / (√3/√5 / √60)
= 0 / (√3/√5 * √(60/1))
= 0 / (√(3 * 60) / √(5 * 1))
= 0 / (√180 / √5)
= 0
Since Z = 0, the probability that the sample mean lies in the interval (-0.05, 0.05) is approximately 0.5.
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i am looking for someone that is very handsome single and 15
Answers
Answer:
Abe lunch hshhshhshajskbdbd
On a number line, A is at 5 and B is at 50. Point X is the midpoint. Point T is 2/3 of the way from X to B. Determine the coordinate of point T.
Coordinate of X = ________
Distance of XB = ________
Fractional distance 2/3(XB) = _________
Coordinate of T = ________
Answers
\(x = \frac{b + a}{2} = \frac{50 + 5}{2} = \frac{55}{2} = 27.5\)
Part 2\(xb = b - x = 50 - 27.5 = 27.5\)
Part 3\( \frac{2}{3} xb = \frac{2}{3} (27.5) \approx18.34\)
Part 4\(t = \frac{2}{3} ab = \frac{2}{3} (b - a) = \frac{2}{3} (45) =15 \\ \)
en la sucesión 2 4 6 8 la expresión algebraica que la representa es
Answers
Responder:
2n
Explicación paso a paso:
Dado 2, 4, 6, 8
Enésimo término de una progresión aritmética:
Tn = a + (n - 1) d
d = diferencia común
n = enésimo término
a = primer término
Tn = 2 + (n - 1) * 2
Tn = 2 + 2n - 2
Tn = 2n
The surface area of the right square prism is 220 cm2. What is the volume of the prism, in cubic centimeters? Show your work. The side is 5cm
Answers
The volume of the prism, in cubic centimeters, if The surface area of the right square prism is 220 cm², is 212.5 cm².
What is volume?The volume of a thing is a measurement of the three-dimensional space it takes up. This proves that the volume of an elephant is more than the volume of a mosquito.
Given:
The surface area of the right square prism, A = 220 cm²,
The side of the prism, s = 5 cm
Calculate the height of the prism by the formula given below,
\(A = 2s^2+4sh\)
220 = 2 × 5 ² + 4 × 5h
h = 8.5 cm
Calculate the volume by the formula given below,
\(V=s^2h\)
V = 5 ² × 8.5
V = 212.5 cm²
Therefore, the volume of the prism, in cubic centimeters if The surface area of the right square prism is 220 cm², is 212.5 cm².
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Shayley wants to buy 20 bottles of water for her trip to the Grand Canyon. A pack of 45 water bottles costs $19.99, but one water bottle is priced at $1.50. Would it be cheaper for Shayley to buy the pack or the water bottles individually?
Answers
Answer:
it would be cheaper to buy a pack of 45.
Step-by-step explanation:
Shayley would spend $30 on 20 single bottles because 1.50 times 20 = 30
Sam is rowing a boat away from a dock. The graph shows the relationship between time and Sam’s distance from the dock. Evaluate the function for an input of 6.
Answers
I need to know what this question means and how do i get the answer
Answers
In this problem, we need to create an expression that after applying one of the properties of exponents to simplify it, we obtain the given answer.
The first answer we have is:
\(8^{2/9}\)The second one is:
\(\frac{x^4}{y^2}\)The third one is:
\(\frac{64z^6}{81}\)a. The first property is the product of powers:
\(a^m\cdot a^n=a^{m\cdot n}\)In the first answer, we have the exponent 2/9, and we can express it as:
\(\frac{2}{9}=\frac{1}{9}+\frac{1}{9}\)Then, the expression can be:
\(8^{1/9}\cdot8^{1/9}\text{ which is equal to }8^{2/9}\)For the second answer we can rewrite the expression as:
\(\frac{x^2\cdot x^2}{y\cdot y}\text{ and when we apply the product property we obtain}\frac{x^4}{y^2}\)For the third answer, we have:
\(\frac{64z^2\cdot z^4}{81}\text{ which is equal to}\frac{64z^{2+4}}{81}=\frac{64z^6}{81}\)b. Power of a power property:
\((a^m)^n=a^{m\times n}\)First answer:
\((8^2)^{1/9}=8^{2\times1/9}=8^{2/9}\)Second answer:
\(\frac{(x^2)^2}{y^2}=\frac{x^{2\times2}}{y^2}=\frac{x^4}{y^2}^{}\)Third answer:
\(\frac{64(z^3)^2}{81}=\frac{64z^{3\times2}}{81}=\frac{64z^6}{81}\)c. Power of a product:
\(a^mb^m=\mleft(ab\mright)^m\)First answer:
\(4^{2/9}\cdot2^{2/9}=(4\cdot2)^{2/9}=8^{2/9}\)Second answer:
\((\frac{x^{}}{y})^2\cdot(x)^2=(\frac{x}{y}\cdot x)^2=(\frac{x\cdot x}{y})^2=(\frac{x^2^{}}{y})^2=\frac{x^4}{y^2}^{}\)Third answer:
\((\frac{8}{9})^2\cdot(z^3)^2=(\frac{8}{9}\cdot z^3)^2=\frac{64z^6}{81}\)d. Negative exponent:
\(a^{-m}=\frac{1}{a^m}\)First answer:
We can express the exponent as:
\(\begin{gathered} 2\times9^{-1}=2\times\frac{1}{9}=\frac{2}{9} \\ \text{Then:} \\ \text{ 8\textasciicircum(2}\cdot9^{-1})=8^{2/9} \end{gathered}\)Second answer:
\(x^4\times y^{-2}=x^4\times\frac{1}{y^2}=\frac{x^4}{y^2}\)Third answer:
\(64z^6\times9^{-2}=64z^6\times\frac{1}{9^2}=64z^6\times\frac{1}{81}=\frac{64z^6}{81}\)e. Zero exponent:
\(a^0=1,a\ne0\)First answer:
\(x^08^{2/9}=1\times8^{2/9}=8^{2/9}\)Second answer:
\(\frac{2^0x^4}{y^2}=\frac{1\times x^4}{y^2}=\frac{x^4}{y^2}\)Third answer:
\(\frac{64z^6x^0^{}}{81}=\frac{64z^6\times1}{81}=\frac{64z^6}{81}\)f. Quotient of powers:
\(\frac{a^m}{a^n}=a^{m-n}\)First answer:
\(\frac{8^{3/9}}{8^{1/9}}=8^{3/9-1/9}=8^{2/9}\)Second answer:
\(\frac{x^6}{x^2y^2}=\frac{x^{6-2}}{y^2}=\frac{x^4}{y^2}\)Third answer:
\(\frac{64z^8}{81z^2}=\frac{64z^{8-2}}{81}=\frac{64z^6}{81}\)g. Power of a quotient:
\((\frac{a}{b})^m=\frac{a^m}{b^m}\)First answer:
\(\frac{16^{2/9}^{}}{2^{2/9}}=(\frac{16}{2})^{2/9}=8^{2/9}\)Second answer:
\((\frac{x}{y})^2x^2=\frac{x^2}{y^2}\cdot x^2=\frac{x^2\cdot x^2}{y^2}=\frac{x^4}{y^2}\)Third answer:
\((\frac{8}{9})^2z^6=\frac{8^2}{9^2}z^6=\frac{64z^6}{81}\)The length of the curved part of a semicircle is 25.12 inches. What is the approximate area of the semicircle? Use 3.14 for π.
Answers
The approximate area of the semicircle is 31.86 square inches.
Let's start by finding the radius of the semicircle. We know that the length of the curved part is half of the circumference of the circle, so we can use the formula for the circumference of a circle, C = 2πr, where r is the radius.
25.12 = 1/2 * 2πr
25.12 = πr
r = 25.12/π ≈ 8
Now we can use the formula for the area of a semicircle, A = 1/2πr^2, to find the approximate area of the semicircle.
A = 1/2π(8)^2
A ≈ 31.86 square inches
Therefore, the approximate area of the semicircle is 31.86 square inches.
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