Therefore , the solution of the given problem of equation comes out to be False.
What is an equation?In order to demonstrate consistency between two opposing statements, variable words are frequently used in sophisticated algorithms. Equations are academic phrases that are used to demonstrate the equality of different academic figures. Consider expression the details as y + 7 offers. In this case, elevating produces b + 7 when partnered with building y + 7.
Here,
False.
The order of operations we use to solve two-step equations is the same order we use to solve every other mathematical statement,
which is commonly recalled by the acronym PEMDAS. (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).
The fundamental distinction is that we are carrying out the operations against the equation's representation. For instance, consider the following equation:
=> 2x + 5 = 11
To get the following result, we would first subtract 5 from both sides, then divide by 2.
=> x = 3
In order to "undo" the operations that were carried out on the variable in the original equation, we are utilising the same series of operations as usual, but in reverse order.
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WILL GIVE BRAINLIEST!!!
A team of scientists is studying the animals at a nature reserve. They capture the animals, mark them so they can identify each animal, and then release them back into the park. The table gives the number of animals they’ve identified. Use this information to complete the two tasks that follow.
Animal Total in Park Number Marked
elk 5,625 225
wolf 928 232
cougar 865 173
bear 1,940 679
mountain goat 328 164
deer 350 105
moose 215 86
What is the probability of the next elk caught in the park being unmarked? Write the probability as a fraction, a decimal number, and a percentage
The probability of the next elk caught in the park being unmarked can be calculated as follows:
There are a total of 5,625 elks in the park, out of which 225 have been marked.This means that the number of unmarked elks is 5,625 - 225 = 5,400.Therefore, the probability of the next elk caught in the park being unmarked is 5,400/5,625 = 0.96 or 96%.What is the probability of capturing an unmarked elk at the park?The probability of capturing an unmarked elk in a nature reserve park can be calculated by dividing the number of unmarked elks by the total number of elks.
In this case, the number of unmarked elks is 5,400 out of a total of 5,625 elks. This gives a probability of 96% or 0.96 in decimal form. Marking and tracking animals is a common method used by scientists to study animal populations in nature reserves.
This data is crucial for designing conservation strategies that promote the survival of endangered species. Nature reserves play a crucial role in preserving and protecting wildlife and their habitats, given the significant threats they face from habitat loss, poaching, and climate change.
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A punch recipe calls for 1 1/2
quarts of sparkling water and
3/4 of a quart of grape juice.How much grape juice would you need to mix with
3 3/4 quarts of sparkling water?
Therefore, we need 3/4 of a quart of grape juice to mix with 3 3/4 quarts of sparkling water.
What is fraction?In mathematics, a fraction represents a part of a whole or a ratio between two numbers. It consists of a numerator and a denominator, separated by a horizontal or diagonal line. The numerator is the number above the line and the denominator is the number below the line. The numerator and denominator can be any real numbers, including integers, decimals, or even other fractions.
Here,
The punch recipe requires a ratio of 1 1/2 quarts of sparkling water to 3/4 of a quart of grape juice. To determine how much grape juice is needed to mix with 3 3/4 quarts of sparkling water, we can set up a proportion:
1 1/2 quarts of sparkling water : 3/4 quart of grape juice = 3 3/4 quarts of sparkling water : x
To solve for x, we can cross-multiply and simplify:
(1 1/2) / (3/4) = (15/4) / (3/4)
= 15/3
= 5
3 3/4 * 1 / 5 = 15/20
= 3/4
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Find the critical points c for the function / and apply the Second Derivative Test (if possible) to determine whether each of
these points corresponds to a local maximum (mar) or minimum (Gmin).
/(x) = 7x° In(3x) (* > 0)
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list, if necessary. Enter
DNE if there are no critical points.)
Cmin=
Cmax=
The critical points of f(x) are x = 0 and x = e^(-1/2) / 3, and x = e^(-1/2) / 3 corresponds to a local minimum of f(x). Cmin = e^(-1/2) / 3 and Cmax = 0.
Taking the derivative of f(x) with respect to x using the product rule and the chain rule, we get:
f'(x) = 14x ln(3x) + 7x
Setting f'(x) equal to zero and solving for x, we get:
14x ln(3x) + 7x = 0
Factor out x:
7x(2ln(3x) + 1) = 0
So either x = 0 or 2ln(3x) + 1 = 0.
If x = 0, then f'(x) = 0 and x is a critical point.
If 2ln(3x) + 1 = 0, then ln(3x) = -1/2 and 3x = e^(-1/2). Solving for x, we get:
x = e^(-1/2) / 3
So e^(-1/2) / 3 is also a critical point.
Now we need to apply the second derivative test to determine whether these critical points correspond to a local minimum or maximum.
Taking the second derivative of f(x), we get:
f''(x) = 14 ln(3x) + 21
For x = 0, we have:
f''(0) = 14 ln(0) + 21
The natural logarithm of zero is undefined, so the second derivative does not exist at x = 0. Therefore, we cannot apply the second derivative test at x = 0.
For x = e^(-1/2) / 3, we have:
f''(e^(-1/2) / 3) = 14 ln(1/e^(1/2)) + 21
= -14/2 + 21
= 7/2
Since the second derivative is positive at this point, we can conclude that x = e^(-1/2) / 3 is a local minimum of f(x).
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Mr. Rogers recorded the height of 15 students from two of his classes. Based on these samples, what generalization can be made? The median student height in Class A is equal to the median student height in Class B. The range of the student heights in Class A is greater than the range of the student heights in Class B. The mean student height in Class A is less than the mean student height in Class B. The median student height in Class A is more than the median student height in Class B
"The median student height in Class A is equal to the median student height in Class B."
Based on the given information, we can conclude that the median student height in Class A is e.
qual to the median student height in Class B. However, we cannot make any definitive conclusions about the range or mean heights of the two classes based on this limited information.
The range is a measure of the spread of the data and is calculated by subtracting the minimum value from the maximum value. Without knowing the actual height values for each student in both classes, we cannot compare the ranges and determine which class has a greater range.
The mean height is a measure of the central tendency of the data and is calculated by adding up all the heights and dividing by the total number of students. Again, without knowing the actual height values, we cannot calculate the mean heights for each class and compare them.
Therefore, the only conclusion that can be made based on the given information is that the median student height in Class A is equal to the median student height in Class B.
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12 kilometers and the distance between the courthouse and the city pool is 15 kilometers, how far is the library from the community pool?
The library is approximately 19.2 kilometers from the community pool. The distance between the library and the community pool can be calculated using the Pythagorean theorem since the problem describes a right-angled triangle (due south and due west directions).
It is given that the distance between library and courthouse is 12 kilometers (south) and the distance between courthouse and community pool is 15 kilometers (west). Let's call the distance between the library and the community pool "x" kilometers.
According to the Pythagorean theorem:
a² + b² = c²
12² + 15² = x²
Now, calculate the square of the distances: 144 + 225 = x²
Add the numbers: 369 = x²
Finally, find the square root of the sum to find "x":
x = √369
x ≈ 19.2
The library is approximately 19.2 kilometers from the community pool.
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(1 point) Use the method of undetermined coefficients to find a solution of a y" – 8y' + 297 = 48e4t cos(3t) + 80e4t sin(3t) + 3 - Use a and b for the constants of integration associated with the homogeneous solution. Use a as the constant in front of the cosine term. y = yh + yp = - = (1 point) Find y as a function of x if ' y" – 6y" + 8y' = 3e", - - = y(0) = 14, y'(0) = 29, y"(0) = 25. 33 4x y(x) = 37 91 e2x - tet 8 e 8 4
By using the method of undetermined coefficients, The general solution is y = ae^(4x)cos(3x) + be^(4x)sin(3x) + (7/2cos(3t) + 5/2sin(3t))e^(4t). The solution to the initial value problem is y = 3e^(2x) + 14e^(4x) - 3e^(3x).
By using the method of undetermined coefficients, the associated homogeneous equation is y''-8y'+297=0, which has the characteristic equation r^2-8r+297=0. The roots of this equation are r=4+3i and r=4-3i, so the homogeneous solution is yh=a*e^(4x)cos(3x)+be^(4x)*sin(3x).
To find the particular solution, we make the ansatz yp = (Acos(3t) + Bsin(3t))e^(4t), where A and B are constants to be determined. Substituting this into the differential equation, we get
y" - 8y' + 297 = (16A - 18B)e^(4t)cos(3t) + (16B + 18A)e^(4t)sin(3t)
On the right-hand side, we have 48e^4tcos(3t) + 80e^4tsin(3t), which suggests setting
16A - 18B = 48, and
16B + 18A = 80
Solving these equations simultaneously, we get A = 7/2 and B = 5/2. Therefore, the particular solution is
yp = (7/2cos(3t) + 5/2sin(3t))e^(4t)
And the general solution is
y = yh + yp = ae^(4x)cos(3x) + be^(4x)sin(3x) + (7/2cos(3t) + 5/2sin(3t))e^(4t)
For the second problem, the associated homogeneous equation is y''-6y'+8y=0, which has the characteristic equation r^2-6r+8=0. The roots of this equation are r=2 and r=4, so the homogeneous solution is yh=ae^(2x)+be^(4x).
To find the particular solution, we make the ansatz yp = Ce^3x, where C is a constant to be determined. Substituting this into the differential equation, we get
y" - 6y' + 8y = 9Ce^3x - 18Ce^3x + 8Ce^3x = (8C - 9C)e^3x = -C*e^3x
On the right-hand side, we have 3e^x, which suggests setting -C = 3. Therefore, the particular solution is
yp = -3e^(3x)
And the general solution is
y = yh + yp = ae^(2x) + be^(4x) - 3e^(3x)
To find the values of a and b, we use the initial conditions
y(0) = a + b - 3 = 14
y'(0) = 2a + 4b - 9 = 29
y''(0) = 2a + 8b = 25
Solving these equations simultaneously, we get a = 3 and b = 14. Therefore, the solution to the initial value problem is
y = 3e^(2x) + 14e^(4x) - 3e^(3x)
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--The given question is incomplete, the complete question is given
" (1 point) Use the method of undetermined coefficients to find a solution of a y" – 8y' + 297 = 48e4t cos(3t) + 80e4t sin(3t) + 3 - Use a and b for the constants of integration associated with the homogeneous solution. Use a as the constant in front of the cosine term. y = yh + yp = - = (1 point) Find y as a function of x if ' y" – 6y" + 8y' = 3e", - - = y(0) = 14, y'(0) = 29, y"(0) = 25."--
Help me please I need the answer to the value of x
In a game show, players play multiple rounds to score points. Each round has 5 times
as many points available as the previous round.
An equation shows the number of points available, p, in round n of the game show is p=20·5ⁿ. Therefore, option D is the correct answer.
The given geometric sequence is 20, 100, 500, 2500,...
Here, a=20
Common ratio (r) = 100/20 = 5
The formula to find nth term of the geometric sequence is [tex]a_n=ar^n[/tex]. Where, a = first term of the sequence, r= common ratio and n = number of terms.
Here, aₙ=20·5ⁿ
Therefore, option D is the correct answer.
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Qn2. Two functions f and g are defined as follows: f(x) = 2x – 1 and g(x) = x +4. Determine: i) fg(x) ii) value of x such that fg(x) = 20
The value of x such that fg(x) = 20 is 6.5.
Find the value of f(x)g(x) by substituting g(x) into f(x):f(x)g(x) = f(x)(x+4) = 2x(x+4) - 1(x+4) = 2x^2 + 8x - 4To find the composite function fg(x), we need to substitute the expression for g(x) into f(x), as follows:
fg(x) = f(g(x)) = f(x + 4) = 2(x + 4) - 1 = 2x + 7
So, fg(x) = 2x + 7
ii) To find the value of x such that fg(x) = 20, we can substitute fg(x) into the equation and solve for x, as follows:
fg(x) = 2x + 7 = 20
2x = 13
x = 6.5
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PLEASE HELP!!!!!!!! The graph shows two lines, A and B. A coordinate plane is shown. Two lines are graphed. Line A has the equation y equals x minus 1. Line B has equation y equals negative 3 x plus 7. Based on the graph, which statement is correct about the solution to the system of equations for lines A and B? (4 points) Question 4 options: 1) (1, 2) is the solution to both lines A and B. 2) (−1, 0) is the solution to line A but not to line B. 3) (3, −2) is the solution to line A but not to line B. 4) (2, 1) is the solution to both lines A and B.
The correct statement regarding the solution to the system of equations is given as follows:
4) (2, 1) is the solution to both lines A and B.
How to solve the system of equations?The system of equations in the context of this problem is defined as follows:
y = x - 1.y = -3x + 7.Replacing the second equation into the first, the value of x is obtained as follows:
-3x + 7 = x - 1
4x = 8
x = 2.
Hence the value of y is given as follows:
y = 2 - 1
y = 1.
Meaning that point (2,1) is a solution to both lines.
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Solve: 5x + 6 > 3x + 15
Answer:
Subtract the smaller amount of [tex]x[/tex] → [tex]2x+6 > 15[/tex]
Then subtract 6 from 15 as it is a plus you do the opposite → [tex]2x > 9[/tex]
Now divide 9 by 2 to isolate [tex]x[/tex] → [tex]x > 4.5[/tex]
A table titled inequality symbols contains the symbols for less-than and greater-than.
Check all that are inequalities.
-3 = y
t > 0
-4. 3 < a
g = 5 and one-half
k less-than Negative Start Fraction 5 Over 7 End Fraction
x = 1
The inequalities in the given table are "t > 0" and "3 < a."
To identify the inequalities from the provided options, we need to understand the meaning of the symbols and check if they represent a comparison between two values.
-3 = y: This is not an inequality symbol but rather an equality symbol. It represents that -3 is equal to y, not greater or less than.
t > 0: This is an inequality symbol. The symbol ">" represents "greater than." Therefore, t is greater than 0.
-4. 3 < a: This is another inequality symbol. The symbol "<" represents "less than." Hence, 3 is less than a.
g = 5 and one-half: This is an equality symbol. The symbol "=" denotes equality, indicating that g is equal to 5 and one-half, not greater or less than.
k less-than Negative Start Fraction 5 Over 7 End Fraction: This is also an inequality symbol. The phrase "less than" indicates a comparison. The fraction "Negative Start Fraction 5 Over 7 End Fraction" represents -5/7. Therefore, k is less than -5/7.
x = 1: This is an equality symbol. The symbol "=" indicates that x is equal to 1, not greater or less than.
In summary, the inequalities in the table are "t > 0" and "3 < a."
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Can someone help me with this question and show the steps please
Answer: [tex](w^{\frac{1}{5} } )^{3}[/tex]
Step-by-step explanation:
The root of a number, say [tex]\sqrt[n]{x}[/tex] is equal to [tex]x^{\frac{1}{n} }[/tex]. So, [tex]\sqrt[5]{w^{3} } = (w^{3} )^{\frac{1}{5} }[/tex]. Since when dealing with an exponent of a number raised to an exponent you multiply the exponents, due to the associative property it does not matter which order you do the exponents in. So, [tex](w^{3} )^{\frac{1}{5} }= (w^{\frac{1}{5} } )^{3}[/tex], which is answer D.
find the angle between the vectors. (round your answer to two decimal places.) u = (4, 3), v = (5, −12), u, v = u · v
The angle between u and v is approximately 104.66 degrees. To find the angle between two vectors u and v, we can use the dot product formula:
cos(theta) = (u · v) / (||u|| ||v||)
where ||u|| and ||v|| are the magnitudes of u and v, respectively.
First, let's compute the dot product of u and v:
u · v = [tex](4)(5) + (3)(-12) = 20 - 36 = -16[/tex]
Next, we need to find the magnitudes of u and v:
[tex]||u||[/tex] = sqrt([tex]4^2[/tex] + [tex]3^2[/tex]) = 5
[tex]||v||[/tex] = sqrt([tex]5^2[/tex] + (-12[tex])^2[/tex]) = 13
Now we can substitute these values into the formula for cos(theta):
cos(theta) = [tex](-16) / (5 * 13) = -0.246[/tex]
To find the angle theta, we take the inverse cosine of cos(theta):
theta = [tex]cos^-1[/tex](-0.246) = 104.66 degrees
Therefore, the angle between u and v is approximately 104.66 degrees.
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A triangular prism is 40 yards long and has a triangular face with a base of 32 yards and a height of 30 yards. The other two sides of the triangle are each 34 yards. What is the surface area of the triangular prism?
The surface area of the triangular prism is 4800 square yard.
How to find the surface area of the triangular prism?The surface area of a triangular prism is sum of the areas of the faces that make the prism.
The surface area of a triangular prism is given by:
SA = (a + b + c)L + bc
Where a and b are the bases of the rectangular faces, c is the height of the triangle and h is the total length of the prism
In this case:
L = 40, a = 34, b = 32 and c = 30
SA = (34 + 32 + 30)40 + (32 * 30)
SA = 3840 + 960
SA = 4800 square yard
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The value of car depreciates by 15% every year. if its present value is rs.80000 what is its value after 3 years.
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval −3≤x≤8?
The average rate of change of the function f(x) in the interval [tex]-3 \leq x\leq -2[/tex] is -15.
We are given an interval in which we have to find the average rate of change of the function f(x) based on the graph given in the question. The interval given is -3 [tex]\leq[/tex] x [tex]\leq[/tex] -2. We are going to apply the formula for an average rate of change to find the rate of change of the given function in the given interval.
The formula we will use is
The average rate of change = [tex]\frac{f(b) - f(a) }{b - a}[/tex]
Identifying the points in the graph,
a = 3, f(a) = -10
b = -2, f(b) = -25
We will substitute these values in the formula for the average rate of change.
The average rate of change = [tex]\frac{-25-(-10)}{-2-(-3)}[/tex]
The average rate of change = ( -25 + 10)/(-2 +3)
= -15/1
= -15.
Therefore, the average rate of change of the function in the interval [tex]-3 \leq x \leq -2[/tex] is -15.
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The complete question is "The function y=f(x)y=f(x) is graphed below. What is the average rate of change of the function f(x)f(x) on the interval -3\le x \le -2 −3≤x≤−2? "
PLEASE HELP ASAP 3 PART QUESTION
Answer:
that is really hard but im pretty sure one of the answers to the first one is -16? for the second x
Step-by-step explanation:
The value of P from the formula I= PRT/100 when I = 20, R= 5 and T= 4 is ?
The value of P from the formula I= PRT/100 when I = 20, R= 5 and T= 4 is 100.The formula I = PRT/100 is used to calculate the simple interest on a principle amount, where P is the principle amount, R is the interest rate, and T is the time period.
To find the value of P from the formula I = PRT/100 when I = 20, R = 5, and T = 4,
Write down the formula: I = PRT/100 Plug in the given values: 20 = P(5)(4)/100Simplify the equation: 20 = 20P/100 Solve for P: P = 20(100)/20 = 100Therefore the value of P is 100.
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You invest ten thousand dollars in an account that pays eight percent APR compounded monthly. After how many years will the account have twenty thousand dollars.
As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.
what is percentage ?As a quarter of 100, a number can be expressed as a percentage. It is frequently used to describe distinctions or express changes in numbers. The symbol for percentages is %, and they are frequently utilized to describe ratios, rates, and certain other numerical connections. An 80 percent score on a test, for instance, indicates that the student correctly answered 80 of the 100 questions. Similar to this, if a retailer were offering a 20% discount on a $100 item, the sale price would be $80.
given
With P = 10000, r = 0.08 (8% stated as a decimal), n = 12 (compound monthly), and t to be found when A = 20000, the situation is as follows.
When these values are added to the formula, we obtain:
[tex]20000 = 10000(1 + 0.08/12)^(12t) (12t)[/tex]
By multiplying both sides by 1000, we obtain:
[tex]2 = (1 + 0.08/12)^(12t) (12t)[/tex]
When we take the natural logarithm of both sides, we obtain:
ln(2) = 12t ln(1 + 0.08/12)
When we multiply both sides by 12 ln(1 + 0.08/12), we obtain:
t = ln(2) / (12 ln(1 + 0.08/12))
Calculating the answer, we discover:
10.24 years is t.
As a result, it will take roughly 10.24 years for the account to reach $20,000 in value.
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celine ordered a set of beads. she received 10,000 beads in all, 9,100 of the beads were brown. what percentage of the beads were brown?
Answer:
91%
Step-by-step explanation:
If a, b and c are distinct real numbers, prove that the equation(x−a)(x−b)+(x−b)(x−c)+(x−c)(x−a=0has real and distinct roots.
Answer:
Step-by-step explanation:
skating Dinero broke 1p revision yahoo d10
What is the sum of the series?
Σ (2k2 – 4)
k=1
The sum of the series Σ (2k² - 4) from k = 1 to n can be found using the following formula:
Σ (2k² - 4) = [2(1²) - 4] + [2(2²) - 4] + [2(3²) - 4] + ... + [2(n²) - 4]
= 2(1² + 2² + 3² + ... + n²) - 4n
The sum of squares of the first n natural numbers can be calculated using the formula:
1² + 2² + 3² + ... + n² = [n(n + 1)(2n + 1)] / 6
Substituting this value in the above equation, we get:
Σ (2k² - 4) = 2[(n(n + 1)(2n + 1)) / 6] - 4n
= (n(n + 1)(2n + 1)) / 3 - 4n
Therefore, the sum of the series Σ (2k² - 4) from k = 1 to n is (n(n + 1)(2n + 1)) / 3 - 4n.
the asq (american society for quality) regularly conducts a salary survey of its membership, primarily quality management professionals. based on the most recently published mean and standard deviation, a quality control specialist calculated the z-score associated with his own salary and found it was -2.50. this tells him that his salary is
This tells him that his salary is significantly below the average salary of quality management professionals surveyed by the ASQ, and that he is in the bottom percentile of salaries in this group.
The z-score is a statistical measure that indicates the number of standard deviations that a data point is from the mean of a distribution. A negative z-score indicates that the data point is below the mean.
In this case, the quality control specialist's z-score of -2.50 indicates that his salary is 2.50 standard deviations below the mean salary of the quality management professionals surveyed by the ASQ.
Without knowing the specific mean and standard deviation provided by the survey, it is difficult to determine the exact value of the specialist's salary. However, we can use the z-score to estimate the percentile rank of his salary compared to the rest of the survey respondents.
Using a standard normal distribution table, we can see that a z-score of -2.50 corresponds to a percentile rank of approximately 0.0062 or 0.62%. This means that only about 0.62% of quality management professionals surveyed by the ASQ earn a salary lower than that of the quality control specialist.
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A rental car company charges $22. 15 per day to rent a car and $0. 07 for every mile driven. Aubrey wants to rent a car, knowing that:
She plans to drive 275 miles.
She has at most $130 to spend.
Write and solve an inequality which can be used to determine dd, the number of days Aubrey can afford to rent while staying within her budget
An inequality to represent this situation is 22.15d + 0.07(275) ≤ 130. Aubrey can afford to rent the car for up to 5 days while staying within her budget.
Let's denote the number of days Aubrey can rent the car as "d". We know that the rental car company charges $22.15 per day and $0.07 per mile. Aubrey has a budget of $130 and plans to drive 275 miles. We can create an inequality to represent this situation:
22.15d + 0.07(275) ≤ 130
Now, let's solve the inequality:
22.15d + 19.25 ≤ 130
Subtract 19.25 from both sides:
22.15d ≤ 110.75
Now, divide by 22.15 to find the maximum number of days Aubrey can rent the car:
d ≤ 110.75 / 22.15
d ≤ 5
So, Aubrey can afford to rent the car for up to 5 days while staying within her budget.
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If a ball is dropped on the ground from a height of h m, then the ball reaches the ground with the
velocity V=4.43√h m/sec. Find the velocity with which a ball reaches the ground when it is dropped
from a height of 64 m.
The velocity with which a ball reaches the ground when it is dropped
from a height of 64 m is 35.44m/sec
How to determine the valueFrom the information given, we have that the equation representing the velocity of the ball is expressed as;
V = 4.43√h
Given that the parameters of the formula are;
V is the velocity of the ball from he ground.h is the height of the ball.Since the height of the ball from the ground is 64m, we have to substitute the value, we have;
V = 4.43√64
Find the square root of the value
V= 4.43(8)
Now, multiply both the values to determine the velocity, we get;
V = 35.44m/sec
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An angle measures 11.4° more than the measure of its complementary angle. What is the measure of each angle?
The measure of the angle is 50.7° and the measure of its complementary angle is 39.3°.
What is the measure of each angle?Let x be the measure of the angle and y be the measure of its complementary angle.
Then we have:
x = y + 11.4 (since the angle measures 11.4° more than its complementary angle)
x + y = 90 (since the two angles are complementary)
Substituting the first equation into the second equation, we get:
(y + 11.4) + y = 90
2y + 11.4 = 90
2y = 78.6
y = 39.3
Substituting y = 39.3 into the first equation, we get:
x = y + 11.4 = 50.7
So, we have
x = 50.7
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Which choice correctly compares two decimals?
A 2.17 > 2.0172.17 > 2.017
B 2.018 > 2.172.018 > 2.17
C 2.16 < 2.0172.16 < 2.017
D 2.17 = 2.017
Answer:
A
Step-by-step explanation:
2.17 > 2.017
because
2.017 = 2 + 17/1000
while
2.17 = 2 + 17/100 = 2 + 170/1000
170/1000 is larger than 17/1000.
for that reason D is wrong, of course.
2.17 is NOT equal to 2.017. 17/1000 is NOT equal to 170/1000.
2.018 = 2 + 18/1000
2.17 = 2 + 17/100 = 2 + 170/1000
also 18/1000 is NOT larger than 170/1000.
2.16 = 2 + 16/100 = 2 + 160/1000
2.017 = 2 + 17/1000
17/1000 are NOT larger than 160/1000.
SOMEONE HELP PLS!! giving brainliest to anyone!!
Answer:
252
Step-by-step explanation:
So their are 38 more numbers to get to 41 and the numbers are adding by 6, so mulitply 6 by 38 and you get 228 and add 228 to the biggest number of 24 and your final answer becomes 252.
Ralph has a cylindrical container of parmesan cheese. The diameter of the base of the container is 2. 75 inches, and the height is 6 inches. What is the area of a horizontal cross section of the cylinder to the nearest tenth of a square inch? Use 3. 14 for π
The area of a horizontal cross-section of the cylinder whose diameter is 2.75 inches and height is 6 inches is 5.9 inch².
Diameter of the base of the container = 2.75 inch
Height of the cylinder = 6 inch
Area of a horizontal cross-section of the cylinder = πr²
Here, r = radius of the container
Radius = Diameter/2
Radius = 2.75/2
Radius = 1.375
Area of the horizontal cross-section of the cylinder = 3.14 × 1.375 × 1.375
Area = 5.9365625
Area of the horizontal cross- section of the cylinder to the nearest tenth is 5.9
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