Answer:
-10x - 5 - 2 =13
-10x -7 =13
-10x = 13 +7
-10x = 20 both side divided by -10
Answer:
Step-by-step explanation:
step 1 is incorrect, the -5 should be positive
HELPPPP HOW DO YOU FIGURE THIS OUT IM SO LOST
Answer:
8.75
Step-by-step explanation:
\(\frac{3}{4} +\sqrt{64} \\\\\frac{3}{4} +8\\\\\frac{3+32}{4} \\\\\\\\\frac{35}{4}\) 35/4 simply(8\(\frac{3}{4}\)) then turn into a decimal which would be 8.75
What is the value of ₇C₂?
a. 2520
b. 49
c. 42
d. 21
The value of ₇C₂ is 21. Hence, the correct option is d. 21. We use the concept of binomial coefficients to find the value of ₇C₂.
The problem involves finding the value of ₇C₂, which represents the number of combinations of selecting 2 items from a set of 7 items. This can be solved using the concept of binomial coefficients, which is a fundamental concept in combinatorics.
The value of ₇C₂ can be calculated using the formula for combinations:
nCr = n! / [(n - r)! * r!]
In this case, n = 7 (number of items in the set) and r = 2 (number of items to be selected). Plugging in these values into the formula, we get:
₇C₂ = 7! / [(7 - 2)! * 2!]
= 7! / [5! * 2!]
= (7 * 6 * 5!) / [5! * 2 * 1]
= (7 * 6) / (2 * 1)
= 42 / 2
= 21
Therefore, the value of ₇C₂ is 21. Hence, the correct option is d. 21.
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Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 2/7 x^2, y = 9/7 - x^2 Find the volume V of this solid. V = Sketch the region, the solid, and a typical disk or washer. (Do this on paper. Your instructor may ask you to turn in this work.)
Take into consideration the solid that results from rotating the area enclosed by the provided curves about the x-axis. y = 2/7 x^2, y = 9/7 - x^2 . the volume of the solid is approximately 1.412 cubic units.
To find the volume of the solid obtained by rotating the region bounded by the curves y = 2/7 \(x^{2}\) and y = 9/7 - \(x^{2}\) about the x-axis, we can use the method of disks or washers.
First, we need to find the limits of integration. The curves intersect when:
2/7\(x^{2}\) = 9/7 - \(x^{2}\)
Multiplying both sides by 7, we get:
2\(x^{2}\) = 9 - 7\(x^{2}\)
9\(x^{2}\) = 9
\(x^{2}\) = 1
x = ±1
Therefore, the limits of integration are x = -1 and x = 1.
Next, we need to express the curves in terms of y. Solving for x in each equation, we get:
x = ±√(7/2 y)
x = ±√(9/7 - y)
Using the method of disks, we can find the volume of the solid by integrating the areas of circular disks with radius y from y = 0 to y = 9/7.
The radius of each disk is given by the difference between the upper and lower curves evaluated at y:
r = √(9/7 - y) - √(7/2 y)
The area of each disk is given by:
A = π\(r^{2}\)
Substituting for r, we get:
A = π [√(9/7 - y) - √(7/2 y)]
Expanding and simplifying, we get:
A = π [9/7 - y + 7/2 y - 2√(9/7 y)]
A = π [9/7 + 3/2 y - 2√(9/7 y)]
Integrating with respect to y, we get:
V = ∫[0, 9/7] π [9/7 + 3/2 y - 2√(9/7 y)] dy
V = π [(9/7) y + (3/4) - (4/9) \(9/7^{3/2}\) \(y^{3/2}\)] [0, 9/7]
V = π [81/28 - (64/81) \(9/7^{3/2}\)]
V ≈ 1.412
Therefore, the volume of the solid is approximately 1.412 cubic units.
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the probability of at least one head in two flips of a coin is
Answer:
\(\frac{2}{4}\) or \(\frac{1}{2}\)
Step-by-step explanation:
When each time a coin is flipped, there are two possible outcomes.
The chance for either heads or tails being chosen is one half.
Thus, the number of times the coin can be flipped and land on heads or tails is \(\frac{1}{2}\).
Hope it helped!
I need it step by step please
Answer:
1/2x-3
Step-by-step explanation:
First, make the equation 2y+4x=12 into a linear equation(y=mx+b)
2y=-4x+12
y=-2x+6
From this, you know the slope is -2.
The perpendicular of any slope is going to be the negative inverse.
negative inverse: a/b-->-b/a
so basically flip it and make it negative(make it positive if the original is negative).
So, for -2 it would be 1/2
Now right the equation for the perpendicular line.
y=1/2x+b
b is the y intercept, and since you want to make the line go through (8,1) you have to change the 6 in the original equation.
To do this replace x and y with 8 and 1
1=1/2(8)+b
1=4+b
b=-3
So you plug that into the equation
y=1/2x-3
URGENT!!
Find the area and perimeter of each figure below.
Answer:
Perimeter= 221, Area=
Step-by-step explanation:
Perimeter is always addition of all sides.
73+56+92=221
Area=
S= (a+b+c)/2
= (73+92+56)/2
=221/2
ar(triangle)= \(\sqrt{221(221-92)+221(221-73)+221(221-56)}\)
You can solve it from here :))
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
the 3rd one
Step-by-step explanation:
Answer: 3rd one
Step-by-step explanation:
The mean life of a television set is 121 months with a variance of 256. If a sample of 95 televisions is randomly selected, what is the probability that the sample mean would be less than 118.8 months?
We can calculate the probability that the sample mean would be less than 118.8 months by standardizing the sample mean using the z-score and consulting the standard normal distribution.
To calculate the z-score, we need to calculate the standard deviation of the sampling distribution of the sample mean, also known as the standard error. The standard error is the square root of the variance divided by the square root of the sample size. In this case, the variance is 256, and the sample size is 95, so the standard error is √(256/95) ≈ 2.693.
Next, we calculate the z-score using the formula z = (x - μ) / σ, where x is the desired value (118.8 months), μ is the population mean (121 months), and σ is the standard error (2.693). Plugging in the values, we get z = (118.8 - 121) / 2.693 ≈ -1.013.
Finally, we find the probability that the sample mean is less than 118.8 months by looking up the z-score in the standard normal distribution table or using statistical software. From the table or software, we find that the probability corresponding to a z-score of -1.013 is approximately 0.1562.
Therefore, the probability that the sample mean would be less than 118.8 months is approximately 0.1562 or 15.62%.
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I need help with this question please
Answer:
D
Step-by-step explanation:
Hector took 1 hour and 25 mintues to finish the test. (D)!
What is fifty-six and forty-two hundredths in standard form?
Answer:
56.42
Step-by-step explanation:
Answer:
\(5.642\times {10}^{1}\)
Step-by-step explanation:
fifty-six and forty two hundeths is 56.42
But in standard form it is 5.642×10¹
What is a disadvantage of using one method over another for solving a system of equation?
Answer:
It is that each method has different equations and not all of them can tell you what you are looking for
Step-by-step explanation:
If I helped can I get Brainliest
Pretty please help me
Answer:
15 percent
Step-by-step explanation:
just look up 180 plus each percentage
the maclaurin series for the function f(x) is given by the formula x [infinity] n=1 (−1)n 1 x n 3n2 (n 5). the value of f (5)(0) (the 5-th derivative of f evaluated at x = 0) is A)-4/25 B)4/25 C)-1/750 D)1/750
The value of f(5)(0) for the given Maclaurin series is -1/750.
The Maclaurin series for a function f(x) is given by the formula:
f(x) = Σn=0 to infinity [f^(n)(0) / n!] x^n
where f^(n)(0) is the nth derivative of f evaluated at x=0.
In this case, we are given the Maclaurin series for the function f(x) as:
f(x) = x * Σn=1 to infinity (-1)^n (1 / (x^n * 3n^2 * (n+5)))
To find the 5th derivative of f(x) evaluated at x=0, we need to differentiate the series 5 times and then evaluate it at x=0.
f(1)(x) = Σn=1 to infinity (-1)^n (1 / (x^(n-1) * 3n^2 * (n+5)))
f(2)(x) = Σn=1 to infinity (-1)^n * (n-1) / (x^n * 3n^2 * (n+5))
f(3)(x) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) / (x^(n+1) * 3n^2 * (n+5))
f(4)(x) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) / (x^(n+2) * 3n^2 * (n+5))
f(5)(x) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) * (n+12) / (x^(n+3) * 3n^2 * (n+5))
Substituting x=0, we get:
f(5)(0) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) * (n+12) / (0^(n+3) * 3n^2 * (n+5))
Simplifying the denominator, we get:
f(5)(0) = Σn=1 to infinity (-1)^n * (n-1) * (n+2) * (n+7) * (n+12) / (3n^2 * (n+5))
To evaluate this series, we can use partial fraction decomposition and then use the formula for the sum of the series 1/n^2.
After simplifying, we get:
f(5)(0) = -1/750
Therefore, the value of f(5)(0) is -1/750, which is option (C).
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Algebraic Method #2: Solving by substitution X= 5 2x + y = 10
Answer:
Step-by-step explanation:
X=5 2x+y=10
you already have x
just need to find y
2x+ y=10
2 (5)+y=10
10 + y=10
y=10- 10 ( when you change the number place the sign should change too, if it was - it will turn +)
y=10-10
y=0
(5,0)
I really hope it work
estimate how full each container is.
Answer:
5/8
Step-by-step explanation:
the answer is 5/8 hope you get answer right.
(2/3 - 3/4 × 1/8) ÷ (2/3 - 3/4 + 5/8)
\(( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} ) \div ( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )\)
Solution:First, solve the brackets.
First bracket:
\(( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} )\)
\( = \frac{55}{96} \)
Second bracket:
\(( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )\)
\( = \frac{13}{24} \)
Then divide.
\( \frac{55}{96} \div \frac{13}{24} \)
\( = \frac{55}{52} \: or \: 1\frac{3}{52} \)
answer:
as improper fraction= 55/52
as mixed fraction= 1 3/52
hope this helps
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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Determine the unknown value in the table using the constant of proportionality.
Time (seconds) 12 18 40
Number of Pencils Produced 42 63
The unknown value in the table using the constant of proportionality is; 96
How to find the constant of proportionality?The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant.
We are given the coordinates;
(12, 42), (18, 63), (40, y)
where x-values represents time in seconds and y-values represents number of pencils that were produced.
To find the constant of proportionality is as good as finding the slope between two consecutive points as;
m = (63 - 18)/(42 - 12)
m = (45/30)
m = 1.5
Thus to find the unknown value y, we will use the formula;
(y - y1)/x - x1) = m
So we will use the coordinates; (18, 63), (40, y)
Plugging them into the formula above will result in;
(y - 63)/(40 - 18) = 1.5
y - 63 = 1.5 * 22
y - 63 = 33
y = 33 + 63
y = 96
Thus, we can conclude that using the constant of proportionality, the number of pencils that were produced after a time of 40 seconds is 96 pencils.
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Can y'all help me with my math problem please
Answer:
A
Step-by-step explanation:
Hello, option B is correct
The actual values of the mean, variance, and standard deviation of a population are called: O regressed standardized scores O population Z scores population parameters sample statistics You wish to survey the interests of students in your statistics class. You enter the names of all students onto an excel spreadsheet. You then use a computer program to generate a list of random names. This is called: O computerized selection sampling selection O simple random selection haphazard selection In a population with a mean of 50, what is the deviation score for X = 45? O 5 05 45 O cannot be determined without more information In systematic sampling O A random sample is taken from each pre-selected subgroup. O Every Kth member of the population is included in the sample. Every member in a well-delineated area is sampled. Every member in the population is included in the sample
Population parameters are the real values of the variance, mean, and standard deviation of a population. These parameters are often unknown but can be estimated from a sample of the population.
When conducting a survey, it is important to select participants in a way that avoids bias and represents the population as accurately as possible. Simple random selection, in which individuals are selected randomly and every individual has an equal chance of being selected, is one way to achieve this.
Deviation score is the difference between an individual score and the mean of the population or sample. In this case, the deviation score for X = 45 in a population with a mean of 50 is -5.
In systematic sampling, every Kth member of the population is selected, making it a more efficient way of sampling compared to random sampling, but it requires that the population is well-ordered and homogeneous.
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If f(x) = -2x + 3 and g(x) = 4x - 3, which is greater, f(5) or g(-2)?
if you can bake 14 cupcakes in one hour how long will it take to bake 126 cupcakes?
Answer:
9 hours
Step-by-step explanation:
126 dived by 14 is 9, so it will take 9 hours to bake 126 cupcakes.
Answer: It will take maybe 9 hours
hope this helps :)
Step-by-step explanation:
(Linear Relationships LC)
Which linear graph represents a proportional relationship?
a graph of a line that passes through the points 0 comma negative 0.5 and 2 comma negative 1
a graph of a line that passes through the points 0 comma negative 4 and 1 comma negative 4
a graph of a line that passes through the points 0 comma 0 and 1 comma negative 4
a graph of a line that passes through the points 0 comma 2 and negative 1 comma negative 2
The linear graph that represents a proportional relationship is option B, a graph of a line that passes through the points (0, -4) and (1, -4).
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
A proportional relationship exists when two quantities are related by a constant ratio. In other words, if one quantity is multiplied by a certain number, then the other quantity should be multiplied by the same number to maintain the relationship.
For option B, the two points (0, -4) and (1, -4) lie on a horizontal line. The slope of any horizontal line is zero, which means that the y-value does not change as the x-value increases.
In this case, the y-value is always equal to -4, regardless of the value of x.
This means that there is a constant ratio between the two quantities, and they are proportional to each other.
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Answer:
The linear graph that represents a proportional relationship is option B, a graph of a line that passes through the points (0, -4) and (1, -4).
Step-by-step explanation:
If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
Which expression is equivalent to 4 square root 6 divided by 3 root 2?
Answer:
\(\sqrt[12]{55296}\)/2
Step-by-step explanation:
\(\sqrt[4]{6}\)/\(\sqrt[3]{2}\)=1.2422
\(\sqrt[12]{27}\)/2=0.66 <-- not matching with the top expression.
\(\sqrt[4]{24}\)/2=1.11<--not matching with the top expression.
\(\sqrt[12]{55296}\)/2=1.2422<-- matches!!
\(\sqrt[12]{177147}\)/3=0.91<-- not matching with the top expression.
Answer:
It is C) ^12 square root 55296/2
Step-by-step explanation: I checked with my calculator.
Let f(x)=7x and g(x)=7x+2−4. Which transformations are needed to transform the graph of f(x) to the graph of g(x)? Select each correct answer. vertical translation 2 units up horizontal translation 4 units left horizontal translation 2 units left vertical translation 4 units up vertical translation 4 units down horizontal translation 2 units right
Answer:
There is a vertical translation happening here:
- Up 2 units
- Down 4 units
This is the only change that has happened from f(x) to g(x).
Help!!!
b2 − 4b + 4 = 0
Answer:
b = 2
Step-by-step explanation:
Factor: 0 = (b - 2)(b - 2)
b = 2
7+3x-12x=3x+1 is it Infinitely many solutions, one solution, or no solutions with steps please
Answer:
One solutionStep-by-step explanation:
7 + 3x - 12x = 3x + 17 - 9x = 3x + 13x + 9x = 7 - 112x = 6x = 6/12x = 1/2It has one solution
Find the slope: (-2,5) and (2,1
A subcontractor's worker accidently drops a piece of lumber on the building inspectors' foot, that causes the building inspector to have $150 in medical costs for a doctor's appointment. The building inspector losses no time from work due to the injury and is back to work the next day. The building inspector decides to sue the Prime Contractor for negligence in the amount of $1,000,000.00. What amount if any may the building inspector be entitled to from the prime contractor due to his injury?
$150.00
Nothing His claim against the prime is barred by the independent contractor rule.
-$450.00
The amount the building inspector may be entitled to from the prime contractor due to his injury is $150.00.
A subcontractor is a person or company that agrees to do some or all of another company's work as part of a larger project.
The original company, which is often referred to as the prime or principal contractor, delegates some part of the work to the subcontractor.
Typically, subcontractors have specialized knowledge or capabilities that the prime contractor does not have.
A subcontractor is an independent contractor who is employed by a prime contractor.
Because they are not employed by the principal contractor, they are not covered by the principal contractor's insurance policy for Workers' Compensation, General Liability, or automobile insurance.
If a subcontractor damages someone's property, the prime contractor may be liable if the subcontractor was performing work under the prime contractor's supervision or if the prime contractor was negligent in selecting or monitoring the subcontractor.
In this instance, the prime contractor may be held liable for any damage caused by a subcontractor or the subcontractor's worker.
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The amount the building inspector may be entitled to from the prime contractor due to his injury is $150.00.What is a subcontractor?A subcontractor is a person or business hired by a general contractor to carry out specific tasks on a construction site.
These individuals or businesses are often engaged in niche activities, such as painting, masonry, or electrical work, and are brought in on a temporary basis to complete a job. A subcontractor is not an employee of the contractor or project owner, but rather an independent contractor. What is the independent contractor rule?The independent contractor rule specifies that an employer is not responsible for injuries to independent contractors or their employees, such as a subcontractor's employees, on a job site. The rule is based on the assumption that independent contractors are responsible for their own protection and have the authority to provide for it. This indicates that the Prime Contractor will not be responsible for the Building Inspector's injuries caused by the Subcontractor. As a result, the inspector's claim against the prime is barred by the independent contractor rule.What is the outcome?The amount the building inspector may be entitled to from the prime contractor due to his injury is $150.00.
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