Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?
Answer: 135
Step-by-step explanation:
Let the measure of angle y = a, then the measure of angle x = 3a
Supplementary angles mean they sum to 180 degrees, therefore
3a+a = 180
4a = 180
a = 45
The measure of angle x = 3a = 3*45 = 135
Answer the following above:
Answer:
0.8333 as a decimal or \(\frac{5}{6}\) as a fraction.
Step-by-step explanation:
First, you would divide -5/8 and -3/4 in the parenthesis. Right after, you would divide the numbers you have in the parenthesis and you would end up with 0.8333 or \(\frac{5}{6}\) both are equal.
Write an expression with with (-1) as its base that will produce a positive product, and explain why your answer
Answer:
(-1)^4 = 1
Because negative 1 raised to an even exponent results in a positive number.
and no boxes were removed, all the boxes in the warehouse were arranged in stacks of 14 boxes each, with no boxes left over. How many boxes were in the warehouse before the 60 additional boxes arrived
Answer:
360 boxes
Step-by-step explanation:
The number of boxes in the warehouse before 60 boxes were added is;
n = 12k .... equation 1
where k is the constant of the number of stacks and n is the number of boxes.
The number of boxes after the 60 boxes were added is;
n + 60 = 14k ... equation 2
substitute the value of n in equation 2 for equation 1:
12k + 60 = 14k
60 = 14k - 12k
60 = 2k
k = 60 / 2 = 30
The number of boxes in the warehouse before 60 boxes was added is;
n = 12 * 30 = 360
Simplify the expression.
768x^8y^5
O A. 42³y32²
O B. 2xy² √2x
OC. 4x²y3y
O D. 4x²y3x²y
Answer:
4y^4√3x^2y
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Need an answer for p and q
74-p
20-q
I think this is right
The annual profits for a company are given in the following table, where x represents the number of years since 2006, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected profit (in thousands of dollars) for 2015, rounded to the nearest thousand dollars.
Regression equation:
Final answer in thousand dollars:
Answer: Hello how are you doing today?
Step-by-step explanation: How may I help you?
A principal of $4,570 is placed in an account that earns 4.5% interest. If the interest is compounded annually, how much money will be in the account at the end of 5 years?
a.
$4654.15
b.
$4775.65
c.
$5638.75
d.
$5695.05
Answer:
d
Step-by-step explanation:
The amount of money that will be in the account at the end of 5 years given the principal and annual compounding is $5695.05.
How much would be in the account after 5 years?When interest is compounded annually, it means that both the principal and interest already accrued increases in value once in year.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$4750 x (1.045^5) = $5695.05
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Use the graph of f '(x) below to find the x values of the relative maximum on the graph of f(x):
The relative maximum on the graph of f(x) is at x = 1
How to determine the relative maximumThe complete question is added as an attachment
The critical points of a function f(x) are the values of x for which:
f"(x) > 0 is minimumf"(x) < 0 is maximumf"(x) = 0 is either minimum or maximumIn this graph, the critical points are: .
x = 0, x = 1 and x = 2
For each of the critical points, we have
At x = 0, f'(x) is increasing, so x is a minimum.At x = 1, f'(x) is decreasing so x = 0 is a maximum.At x = 2, f'(x) is increasing, so x = 2 is a minimum.Read more about derivative at
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What is the interest rate if an $85 loan for 9 months earned $4.78?
6,0
5.7
8.3
7.5
Answer:
Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months
Step-by-step explanation: Monthly loan payment is $400.76 for 60 payments at 7.5%. ... monthly on the current outstanding balance of your loan at 1/12 of the annual rate. 0% ... Interest rate; Number of payments, and; Amount of money you need to borrow (the principal). ... For example, if the approximate term of the loan is 4 years or 48 months, you ...
Answer:
7.5
Step-by-step explanation:
Write an equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400). enter your answer in simplest form.
The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.
To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.
Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.
According to the equation of continuity, A1 * V1 = A2 * V2.
Substituting the given values, we have:
64π * V1 = 4π * V2
Simplifying, we get:
16V1 = V2
So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:
1600 * 16 = 2400
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What is the area of the triangle abc?
Answer:
Your answer is 35!
Step-by-step explanation:
I'm sure of it!
Suppose the manufacturer multiplied each side of the
original box by 4. What would the new surface area be?
Answer:
original box wasn't given... atleast send original surface area..
Step-by-step explanation:
^^^^^^!!!!!!!!!!^^^^^^
Three friends were playing a game of marbles.
At the end of the game, Marcy had 25% of the
marbles, Roger had
2
1
of the marbles, and Ann
had the rest of the marbles. If there were 100
marbles altogether, how many marbles did Ann
have at the end of the game?
The number of marbles Ann had at the end is 54.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total marbles = 100
The number of marbles:
Marcy:
= 25% of 100
= 1/4 x 100
= 25
Roger:
= 21
Now,
The number of marbles:
Ann = 100 - (25 + 21) = 100 - 46 = 54
Thus,
Ann has 54 marbles at the end.
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Mrs. Juarez graded ten English papers and recorded the scores.
92, 95, 100, 62, 88, 90, 100, 96, 89, 98
Which statements are true? Check all that apply.
The range of scores is 38.
Without the outlier, the range of scores would be 12.
The outlier impacts the range more than it impacts the interquartile range.
The interquartile range is 9.
The interquartile range is 4.
Without the outlier, the interquartile range would be 9.5.
Answer:
THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.
Step-by-step explanation:
Table of ordered data
number of value
data
1 62
2 88
3 89
4 90
5 92
6 95
7 96
8 98
9 100
10 100
Range of scores: 100 - 62 = 38
Oulier: 62 => Range without the outlier = 100 - 88 = 12
Interquartile range, IQR, = difference between third quartile and first quartile: IQR = Q3 - Q1
Quartlies of all the data:
1 62
2 88
3 89 --------------- first quartile, Q1 = 89
4 90
5 92
------------------------------------------ median, Q2 = (95 + 92) / 2 = 93.5
6 95
7 96
8 98 ---------------- third quartile, Q3 = 98
9 100
10 100
=> IQR = 98 - 89 = 9 : the interquartle range is 9
Quartlies without the outlier:
2 88
3 89
------------------------------------- first quartile, Q1 = (89 + 90) / 2 = 89.5
4 90
5 92
6 95 --------------- median, Q2 = 95
7 96
8 98
------------------------------------ third quartile, Q3 = (98 + 100) / 2 = 99
9 100
10 100
=> IQR = Q3 - Q1 = 99 - 89.5 = : the interquartle range without the outlier is 9.5
Therefore, the outlier impacts more the range than it impacts the IQR.
THE ONLY STATEMENT THAT IS FALSE IS THE NUMBER 5.
solve the equation.
1/2x^2=32
Answer:
x = ± 8
Step-by-step explanation:
\(\dfrac{1}{2}x^{2}=32\)
Multiply the equation by 2
x² = 32*2
x² = 64 = 8²
x = 8
Under his cell phone plan, Brayden pays a flat cost of $66. 50 per month and $4 per gigabyte, or part of a gigabyte. (For example, if he used 2. 3 gigabytes, he would have to pay for 3 whole gigabytes. ) He wants to keep his bill under $85 per month. What is the maximum whole number of gigabytes of data he can use while staying within his budget?
In linear equation, 4 is the maximum whole number of gigabytes of data he can use while staying within his budget.
What are a definition and an example of a linear equation?
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. A linear equation in one variable would be 9x + 78 = 18, for instance.Let the number of gigabyte so f data she can use while staying within her budget then,
we can write the cost equation as following
4x + 66.50 ) ≤ 85
85 - 66.50 ≤ 4x
18.5 ≤ 4x
x ≤ 18.5/4
x ≤ 4. 625
Xmax = 4
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Derek decides that he needs $161,349.00 per year in retirement to cover his living expenses. Therefore, he wants to withdraw $161349.0 on each birthday from his 66th to his 89.00th. How much will he need in his retirement account on his 65th birthday? Assume a interest rate of 10.00%.
Derek will need approximately $15,631,115.49 in his retirement account on his 65th birthday.
Let A be the amount Derek needs to have in his retirement account on his 65th birthday.Assuming the interest rate of 10%, A will grow to A * 1.1 dollars on his 66th birthday.
On his 66th birthday, Derek will withdraw $161,349.00 and the amount remaining in his account will grow to (A - 161,349.00) * 1.1 dollars. This will be his new amount, which will grow to (A - 161,349.00) * 1.1^2 dollars on his 67th birthday.
Derek will continue this pattern until his 89th birthday. At this point, the amount remaining in his account will be exactly zero since he will have withdrawn all of his money on his 89th birthday.
We can therefore set up the following equation to solve for A:
A * 1.1^21 + (A - 161,349.00) * 1.1^20 + (A - 161,349.00 * 2) * 1.1^19 + ... + (A - 161,349.00 * 23) * 1.1 = 0
Simplifying this equation by factoring out A and solving for it yields:
A * (1.1^21 + 1.1^20 + 1.1^19 + ... + 1.1 - 23) = 161,349.00 * (1 + 1.1 + 1.1^2 + ... + 1.1^23)
A = (161,349.00 * (1 + 1.1 + 1.1^2 + ... + 1.1^23)) / (1.1^21 + 1.1^20 + 1.1^19 + ... + 1.1 - 23)
A ≈ $15,631,115.49
Therefore, Derek will need approximately $15,631,115.49 in his retirement account on his 65th birthday.
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given the graphs of f(x) and g(x), evaluate h'(3) if h(x) = f(x) xg(x)
To find h'(3) given h(x) = f(x) xg(x), we use the product rule of differentiation:
h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)
We are not given the functions f(x) and g(x), but we can use the given graphs to estimate their values near x = 3. Let's say that f(3) = 2 and g(3) = 5. We also need to estimate f'(3) and g'(3) in order to calculate h'(3). We can estimate these values using the slopes of the tangent lines to the graphs at x = 3.
Let's say that the slope of the tangent line to the graph of f(x) at x = 3 is 1, and the slope of the tangent line to the graph of g(x) at x = 3 is 3. Then we have:
f'(3) ≈ 1
g'(3) ≈ 3
Substituting these values into the product rule for h'(x), we get:
h'(x) = f'(x) xg(x) + f(x) g(x) + f(x) xg'(x)
h'(3) = f'(3) 3 g(3) + f(3) g(3) + f(3) 3
h'(3) = (1)(3)(5) + (2)(5) + (2)(3)
h'(3) = 19
Therefore, h'(3) is approximately equal to 19, based on the given graphs and our estimates of f'(3) and g'(3).
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If a hen and a half can lay an egg and a half in a day and a half, then how
much time is needed for three hens to lay three eggs?
Answer:
3 chickens need 1 day to lay 3 eggs, because in 1.5 days 1 chicken lays 1.5 eggs
-> 1 day 1 chicken lays 1 egg so 3 chickens need 1 day to lay 3 eggs
study well !
Answer: 1 day
Explanation: Since one hen and a half plus one hen and a half is equal to 3 hens. And also one egg and a half plus one egg and a half equal to 3 eggs therefore also the time needed for three hens will be 2 times the time needed by one hen and a half
Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*35 (Choice C) C 0.5* 0.35 (Choice D) D 0.05*35 (Choice E) E 5/10*35
Answer:
B and D
Step-by-step explanation:
5% of 35 can be represented as 5% \(\cdot35\).
To find equations that make this work, we need to find different ways to represent 5%.
5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.
So, \(\frac{5}{100}\). Multiplying by 35 gets us \(\frac{5}{100}\cdot35\)
This means that Choice B is correct.
Another way to represent 5% is as a decimal.
We already know that the fraction form of 5% is \(\frac{5}{100}\). This means that in the decimal, the number 5 will be two place values to the right of the decimal place.
0.05
So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us \(0.05\cdot35\), so choice D works too.
Hope this helped!
Answer:
The answer is option D and BStep-by-step explanation:
To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number
So we have
5 percent of 35 is written as
\( \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} \)
We have the answer as
1.75
From the options the one that has the same value as the above answer are
0.05 × 35 and 5/100 × 35
Hope this helps you
Please help, Which postulate can be used to prove the two triangles are congruent?
The triangles are congruent by ASA(angle side angle) theorem
How to find congruent triangle?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
In other words, triangles are congruent when they have exactly the same three sides and exactly the same three angles.
There are different ways to find that out that triangles are congruent.
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Therefore, the triangles are congruent by ASA(angle side angle) theorem.
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BRAINLIEST PERSON WHO GETS IT
Nyoko wrote these two questions.
Equation 1: 6x-5+2x = 4(2x-1) - 1
Equation 2: 3x +7 = bx+7
Part A
Nyoko says that Equation 1 has one solution. Do you agree with her? Explain your reasonings.
Part B
Can Nyoko find a value for b in Equation 2 so that the equation has no solutions? Explain Your REASONING!
a) The equation 1 has an infinite number of solutions, as both linear functions have the same slope and internet, hence Nyoko is incorrect.
b) Nyoko cannot find a value of b so that the equation has no solutions.
How to solve the equations?The equation 1 is given as follows:
6x - 5 + 2x = 4(2x - 1) - 1.
Combining the like terms and applying the distributive property, the simplified equations are given as follows:
8x - 5 = 8x - 4 - 1
8x - 5 = 8x - 5.
As they are linear functions with the same slope and intercept, the number of soltuions is of infinity.
The equation 2 is given as follows:
3x + 7 = bx + 7.
A system of linear equations will have zero solutions when:
The equations have the same slope.The equations have different intercepts.As they have the same intercept for this problem, it is not possible to attribute a value of b such that the equation will have no solution.
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4+(−634) please answer
The solution to the expression 4+(−634) is -630
How to evaluate the expression?From the question, we have the following parameters that can be used in our computation:
4+(−634)
Rewrite the expression properly
So, we have the following representation
4 + (−634)
Remove the bracket in the above expression
This gives
4 + (−634) = 4 - 634
Evaluate the difference
4 + (−634) = -630
Hence, the solution is -630
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Can someone help me understand what this means
When using substitution to solve a linear system how do you know if the system is inconsistent?.
The first step in determining whether a linear system is inconsistent is to identify whether the lines are parallel. Check to see if the lines have a y-intercept in common, if so.
This result establishes an inconsistent system due to the fact that two parallel lines with distinct y-intercepts will never intersect.
If there is at least one solution to a linear equations system, it is said to be a consistent system. The system is regarded as inconsistent if there is no solution.
When the lines are parallel to one another, a system of linear equations cannot become inconsistent in any other way. The slope of parallel lines is the same. Therefore, comparing the slopes is a good way to ascertain whether the system is inconsistent. The comparison is simple if the linear equations are written in the point-slope or slope-intercept form. In order to determine the coefficient of x and compare slopes, it is a good idea to solve for y on all equations that are in a different form and express them in the slope-intercept form. The equation system is inconsistent if the slopes are equal to one another.
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Garcia's bike rentals, it cost $38 to rent a bike for 9 hours. How many hours of bike use does the customer get per dollar. If necessary, round the answer to the nearest hundredth
From the question, we were told that Garcia's bike rentals cost $38 to rent bike for 9 hours.
We are to find how many hours will a customer use the bike per dollar.
This can also be likened to calculating miles per gallon.
if i can drive 300 miles on 10 gallons of gas then my miles per gallon is 300/10 = 30 mpg.
So, hours per dollar is also a division problem too.
(9 hours)/($38)
= 9/38
= 0.2368
= 0.24 hours per dollar (to the nearest hundredth)
You pay 1.5% interest on your credit card bill every month. This month your
bill was $3,475. How much did you pay in total?
Answer:
Step-by-step explanation:
Bill=3475
Interest=1.5%
Total payment made=3475+3475x1.5/100
=3475x101.5/100
=3527.125$ is the total payment (answer)
which one don't belong and why.?
The set 3 = y + 1 and x = -6 does not belong to the four sets of equations because it a linear equation with one variable.
Difference between linear equation and simultaneous equations?Linear equation has only one variable. The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution
While simultaneous equations are two or more equations that are satisfied by the same set of values for the variables.
we can observe that the pairs;
y = 3x + 1
y = 3x - 1,
-2x + y = 2
-4x + 2y = 4 and,
y - 1 = 2(x + 4)
y + 3 = -5(x + 1)
all have more than one variable and can give the same set of values to satisfy for each pair.
But the set;
3 = y + 1 and x = -6 only have one variable each and will have only on solution.
In conclusion, only the set of equations 3 = y + 1 and x = -6 with one variable does not belong.
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Using the CPT manual, code the following: Five MeV of radiation treatment delivery to a single area for primary breast cancer, right female breast
According to the CPT manual, the appropriate code for the treatment for primary breast cancer, would be 77427.
In medical coding, it is important to assign the correct CPT code to accurately describe the provided medical service. For the described scenario of delivering five MeV of radiation treatment to a single area for primary breast cancer, the appropriate code is 77427. This code specifically represents the radiation treatment delivery for breast cancer.
The CPT manual is a widely used resource that provides a comprehensive list of medical procedures and services, each assigned a specific code. These codes help healthcare providers communicate and document the services rendered to patients, as well as facilitate accurate billing and reimbursement. The codes in the CPT manual are regularly updated to reflect advancements in medical technology and practices.
By referencing the CPT manual, healthcare professionals can ensure that the services they provide are accurately coded, allowing for consistent and standardized communication across the healthcare industry. This helps in maintaining proper documentation, tracking patient care, and facilitating efficient billing processes.
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The CPT manual provides specific codes for radiation treatment delivery, including those for breast cancer. The appropriate code for the given treatment would depend on the specific technique used and can be found in the CPT manual.
In order to code the radiation treatment delivery for primary breast cancer, right female breast, we need to refer to the CPT manual. The CPT manual provides specific codes for different types of radiation treatment delivery. In this case, the treatment involves the delivery of Five MeV of radiation to a single area.
Based on the information provided, the appropriate CPT code for this treatment would be determined by the specific technique used for radiation delivery. The CPT manual provides codes for different techniques, such as external beam radiation therapy (EBRT) and brachytherapy.
Since the question does not specify the technique, we cannot provide a specific CPT code. However, a healthcare professional would consult the CPT manual and select the appropriate code based on the specific details of the treatment.
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