Answer:
3/10 units^2
Step-by-step explanation:
A = l×b
=3/4 × 2/5
=3/10 units^2
Candice earns $84,000 per year as a lawyer and has $38,000 she can use for a
down payment on a house. what is the maximum home price she should
consider when looking at homes?
note: the bankers' rule of thumb for mortgages is 2.5 times the annual salary.
The maximum home price Candice should consider is $210,000 ($84,000 x 2.5).
1. Calculate the annual salary:
Candice earns $84,000 per year
2. Calculate the maximum home price using the banker's rule of thumb:
2.5 times the annual salary = $84,000 x 2.5 = $210,000
3. Subtract the down payment amount from the maximum home price:
$210,000 - $38,000 = $172,000
Therefore, the maximum home price Candice should consider is $172,000.
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Which items are examples of natural resources? Check all that apply.
A. lumber
B. beef cattle
C. human labor
salt
D. dairy farm
ITS MULTIPLE CHOICE
Answer:
A, Salt
Step-by-step explanation:
Natural Resources
Answer: A and D
Step-by-step explanation:
(2.99548) x (1.8342)
Answer:
5.49430941
Step-by-step explanation:
Multiply together.
i hope this helps, good luck :)
find the probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67
a) The probability that more than 64% of the sampled adults drinks coffee daily is equals to the 0.2574.
b) The probability that the sample proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67 is equals to the 0.2316.
We have a report data of National Coffee Association related to coffee drinking by adults. Sample proportion that adults drink coffee daily, p = 61% = 0.61
1 - p = 1 - 0.61 = 0.39
A random sample of sample size, n
= 250.
Population proportion= Sample proportion, p = 0.61
So, mean for population, μₚ = population proportion = 0.61
Standard deviations for population is σₚ
= √p( 1 - p)/n = √0.61(1 - 0.61)/250
= 0.0308
The sample proportion is approximately normally distributed, p ~ N(0.62,0.03072).
a) The probability that more than 64% of the sampled adults drinks coffee daily is, P( X > 0.64) = P ( (X - μₚ)/σₚ < (0.64 - 0.61)/0.0308 = 0.974
Using the normal distribution table probability value, P (Z >0.974 ) is equals to 0.2574 so, P( X> 0.64) = 0.2574.
b) The probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67, P ( 0.59 < p < 0.67) = P[(0.59 - 0.61) / 0.0308 < (p - μₚ)/σₚ < (0.67 - 0.61) / 0.0308]
= P(-0.65 < z < 1.94)
= P(z < 1.94) - P(z < -0.65 )
= 0.4738 - 0.2422
= 0.2316
Hence, required probability is 0.2316.
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Complete question:
Coffee: The National Coffee Association reported that 61% of U.S. adults drink coffee daily. A random sample of 250 U.S. adults is selected. Round your answers to at least four decimal places as needed.
a)find the probability that more than 64% of the sampled adults drinks coffee daily
b)Find the probability that the proportion of the sampled adults who drink coffee daily is between 0.59 and 0.67.
you cannot directly assign an enumerator to an int variable.
a. true b. false
Answer:
Step-by-step explanation:
True.
An enumerator is a special data type in some programming languages that allows us to give names to integer values, making the code more readable and easier to maintain.
However, an enumerator cannot be directly assigned to an int variable because they are not compatible data types. An int variable can only store integer values, while an enumerator is a named constant that represents an integer value.
To assign an enumerator to an int variable, we need to explicitly cast the enumerator to an int using type conversion.
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Which of the following is NOT true about graphing y = 2x + 3?
A. The graph passes through the point (2, 5).
B. The graph passes through the point (2, 7).
C. The graph passes through the point (1, 5).
D. The graph intersects the y-axis at (0, 3).
Answer:
A. (2, 5)
Step-by-step explanation:
y = 2x + 3
If we choose A,
x = 2
y = 2 · 2 + 3 = 4 + 3 = 7
the y should be 7, not 5
So, A is incorrect
Which equation does not belong with the other three?
• 2^x=4^(x+6)
• 5^(3x+8)=5^(2x)
• 3^4 = x +4^2
• 2^(x-7)=2^7
Explain your reasoning.
• It is the only one without an unlike base.
• It is the only one where the value of x is zero.
• It is the only one where the value of x is negative.
• It is the only one that is not an exponential equation.
The third equation It is the only equation in the list that is not an exponential one.
What does the exponential equation mean?
An exponential equation is one that has a variable in the exponent. For example, the exponential equation y = x5 includes the integer 5 as the exponent instead of a variable, making it not be an exponential equation, whereas the exponential equation y = 5x has the variable x as the exponent (also known as "5 to the power of x").
An exponential equation is one with the formula f(x)=ab^x for positive real values a and b.
study up on exponential equations.
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plz, help this do at 9:00
Three customers have accounts owing money. The table shows the account balances.
Which customer owes the least amount of money?
Customer Balance
M. Palmer –$56.72
B. Leftwich –$74.19
R. Jordan –$54.31
M. Palmer
B. Leftwich
R. Jordan
Answer:
B
Step-by-step explanation:
The answer is B no questions GO GO GO SUBTRACTION SIGN MEANS THEY OWE MONEY
Which group of three side lengths will form a triangle?
A. 11, 5, 4
B. 22, 17, 14
C. 28, 15, 10
D. 30, 15, 14
Answer:
when in doubt choose c
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
Please help what is B?
Answer:
b = 27/2 or 13.5Step-by-step explanation:
The picture above explains the given answer.
At school, the teacher surveyed the color preferences of 21 students. Out of every
7 students surveyed, 4 said they liked blue the best. How many students said their favorite
color was blue?
Taking into account the definition of proportion, 12 students said their favorite color was blue.
Definition of ratioThe ratio is the comparison of two quantities and is measured from the division of two values. In other words, the ratio between two magnitudes is defined as their ratio or division; that is, given the quantities a and b, the ratio between them is a÷b.
The result of this division can be understood as how many times one quantity is in another.
Definition of proportionThe relationship of equality that exists between two ratios, that is, between two comparisons between two determined quantities, is known as a proportion. So if a/b corresponds to the ratio, then a/b = c/d equals a proportion.
Students that said their favorite color was blueAt school, the teacher surveyed the color preferences of 21 students. Out of every 7 students surveyed, 4 said they liked blue the best. This can be expressed as a proportion as follow:
4÷7= x÷ 21
where x is the number of students of the 21 students surveyed who like blue.
Solving:
(4÷7)×21= x
12= x
Finally, 12 students said their favorite color was blue.
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Triangle ABC with vertices at A(-3, -3), B(3, 3), C(0, 3) is dilated to create triangle A'B'C' with vertices at A'(-12, -12), B'(12, 12), C'(0, 12). Determine the scale factor
used
The scale factor used to dilate triangle ABC to triangle A'B'C' is approximately 4. So, correct option is C.
To determine the scale factor used to dilate triangle ABC to triangle A'B'C', we can use the formula:
scale factor = distance(A', B') / distance(A, B)
We can choose any pair of corresponding vertices to calculate the distance, but it's usually easiest to use the endpoints of a side. Let's use points A and A', and points B and B', respectively:
distance(A', B') = √[(12 - (-12))² + (12 - (-12))²] = √(24² + 24²) ≈ 34
distance(A, B) = √[(3 - (-3))² + (3 - (-3))²] = √(6² + 6²) = 6√2
Substituting these values into the formula, we get:
scale factor = 34 / (6√2) ≈ 4
This means that every length in triangle A'B'C' is 4 times the corresponding length in triangle ABC.
Therefore, Correct option is C.
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You perform an hypothesis test and the null hypothesis was not rejected at an alpha level of 0.05. You want to perform the same test using an alpha of 0.25. What will be your conclusion? a. Fail to reject the null hypothesis b. Accept the alternative hypothesis c. No conclusion can be made
d. Reject the null hypothesis e. Reject the alternative hypothesis
The correct answer is a. Fail to reject the null hypothesis.
Explanation:
When performing a hypothesis test, the alpha level is the probability of rejecting the null hypothesis when it is actually true. A lower alpha level, such as 0.05, means that there is a smaller chance of making a Type I error (rejecting the null hypothesis when it is actually true). If the null hypothesis was not rejected at an alpha level of 0.05, it means that there was not enough evidence to support the alternative hypothesis.
When the alpha level is increased to 0.25, the probability of making a Type I error increases, but it does not change the conclusion of the test. The null hypothesis will still fail to be rejected because there is not enough evidence to support the alternative hypothesis.
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What single percentage change is equivalent to a 7% decrease followed by a 12% increase?
Answer:
4.16%Step-by-step explanation:
decrease 7%
100 - 7% = 93
increase 12%
93 + 12% = 104.16
104.16 - 100 = 4.16%
With decided cases, discuss the relationship between
a partnership and it's partners
The relationship between a partnership and its partners is based on a legal agreement wherein individuals or entities come together to carry out a business venture. Partnerships are formed with the intention of sharing profits, losses, and responsibilities.
The partners have fiduciary duties towards each other and the partnership, which include acting in good faith, providing accurate information, and making decisions in the best interest of the partnership. The relationship is governed by the partnership agreement and applicable laws, and disputes are resolved through legal processes.
A partnership is a business structure where two or more individuals or entities collaborate to conduct a business together. The relationship between a partnership and its partners is established through a legally binding partnership agreement. This agreement outlines the terms and conditions of the partnership, including the sharing of profits, losses, and decision-making authority.
Partnerships are built on trust and mutual understanding among the partners. Each partner has certain rights and responsibilities within the partnership. These may include contributing capital, sharing management duties, and participating in the day-to-day operations of the business. The partnership agreement may also specify the percentage of ownership and the distribution of profits among the partners.
Partners owe fiduciary duties to one another and to the partnership as a whole. Fiduciary duties require partners to act in good faith, exercise reasonable care and diligence, and disclose any relevant information to the partnership. Partners must also make decisions that are in the best interest of the partnership, even if they may not personally benefit from those decisions.
In the event of disputes or disagreements, the partnership agreement and applicable laws govern the resolution process. If the partnership agreement is silent on a particular issue, the default rules provided by the jurisdiction's partnership laws will apply. Disputes may be resolved through negotiation, mediation, or, if necessary, litigation.
It is essential for partners to have a clear understanding of their rights and obligations within the partnership. Clear and well-drafted partnership agreements can help prevent misunderstandings and conflicts among partners. Open communication and a shared vision for the partnership's goals and objectives contribute to a healthy and productive relationship between a partnership and its partners
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2x2 + 2 + 5x = -4 - x
Answer:
2.75 that are answer
Step-by-step explanation:
that are answer
WILL GIVE BRAINLIEST!!
The rule as a mapping for the translation of a rectangle is (x, y) - (x - 5, y
+ 2). Which describes this translation? *
a translation of 5 units down and 2 units to the right
O a translation of 5 units down and 2 units to the left
a translation of 5 units to the right and 2 units up
O a translation of 5 units to the left and 2 units up
Answer:
D.
Step-by-step explanation:
Since its x minus five, that means you must be moving left to make it negative. This is thus moving left five. This then cancels out A , B, and C, leaving you with D.
Please help
Write an equation of the line in point-slope form that passes through the given points in the table. Then write the equation in slope-intercept form.
An equation of the line in point-slope form is
(Simplify your answer. Type an equation. Type your answer in point-slope form. Use integers or fractions for any numbers in the equation)
The equation of the line in slope-intercept form is y = 6x + 55.
Describe Equation?Equations can involve variables, which are placeholders for unknown values that we wish to find. For example, the equation x + 3 = 7 asserts that the value of x plus 3 is equal to 7. We can solve for x by subtracting 3 from both sides of the equation, obtaining x = 4.
Equations can be linear or nonlinear, and they can involve one or more variables. They can be represented in various forms, such as standard form, slope-intercept form, or quadratic form.
To find the equation of the line in point-slope form, we need to first find the slope of the line. We can use any two points from the table to find the slope using the formula:
slope = (change in y)/(change in x)
Let's use the first and last points in the table:
slope = (295 - 175)/(40 - 20) = 120/20 = 6
Now we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where m is the slope and (x1, y1) is any point on the line. Let's use the first point (20, 175):
y - 175 = 6(x - 20)
To write this equation in slope-intercept form, we need to isolate y:
y - 175 = 6x - 120
y = 6x + 55
So the equation of the line in slope-intercept form is y = 6x + 55.
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Help mee! Deadliest question.. Asap!!
Answer:
134 136 138 139 141 142 144 146 147 149 155 165
Step-by-step explanation:
You just had to put least to greatest
What is the sum of the first 21 even numbers? FAST!!!
Answer:
462
Step-by-step explanation:
Sum = n/2 x (a + Tn)
= 21/2 x (2 + 42)
= (21 x 44)/ 2
= 924/2
2 + 4 + 6 + 8 + 10 + 12 + . . . . + 42 = 462
please help me
what is the answer for those and if u can’t simplify some please tell me
Answer:
7/16=7/16
8/16=1/2
9/16=9/16
10/16=5/8
11/16= 11/16
12/16=3/4
13/16=13/16
14/16=7/8
Step-by-step explanation:
The ones that didn't change are the ones that cannot be simplified :)
Drag and drop the examples against the corresponding form of physical withdrawal from the work environment.
Physical withdrawal from the work environment refers to actions or behaviors that involve physically distancing oneself from the workplace.
Here are some examples of physical withdrawal:
1. Absenteeism: This occurs when an employee regularly or frequently misses work without a valid reason. For instance, consistently calling in sick or taking excessive personal days.
2. Tardiness: Being consistently late for work can be a form of physical withdrawal. It demonstrates a lack of commitment and can disrupt productivity and teamwork.
3. Leaving early: Leaving the workplace before the designated end of the workday or regularly leaving before completing assigned tasks is another form of physical withdrawal.
4. Extended breaks: Taking excessively long breaks, whether officially sanctioned or not, is a form of physical withdrawal. It indicates a disengagement from work responsibilities.
5. Working remotely: Opting to work from home or another location away from the office can be a form of physical withdrawal. While remote work is becoming more common, it can still lead to a sense of disconnection from colleagues and the physical workplace.
These examples illustrate different ways in which employees physically withdraw from the work environment, highlighting the importance of being present and engaged for productivity and collaboration. Remember that this is not an exhaustive list, and other forms of physical withdrawal may exist.
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What is the slope of the line shown below?
A. -1/4
B. 4
C. -4
D. 1/4
consider the function g(x)= x² + 5x +6 where is function g(x) equL to zero or what are the zeros of g(x) A: x=2 and x =3 B: x =1 and x = -6 C: x= -2 and x = -3 D: = -1 and x =6
Answer: please help me with this, I will do whatever you want but please help me please!
Step-by-step explanation:
In the diagram, PQRS ~ TUVW. Find the value of x .
The value of x is 8
What is a trapezoid?A quadrilateral with one pair of parallel sides. It is a typical mathematical shape that is employed in numerous disciplines. The area of a trapezoid is computed by multiplying the height by half of the sum of the lengths of the two bases.
Given that trapezoid PQRS ~ TUVW are similar;
So, VW/RS = UT/QP
x/12 = 6/9
x = 8
Therefore, the value of x is 8
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Trapezoid A trapezoid is a four-sided shape with one pair of parallel sides According to the question The value of x is 8
What is a trapezoid?A trapezoid is a four-sided shape with one pair of parallel sides. It has two non-parallel sides, or legs, and two parallel sides, or bases. The bases are usually of different lengths, and the sides are typically not equal. The angles of a trapezoid are not necessarily all the same size, but the two opposite angles are always equal. Trapezoids can be found in everyday objects like the shape of a deck, a rectangular door frame, or a sloped roof. Trapezoids can also be found in geometry, where they are used to calculate the area and perimeter of the shape.
Given that trapezoid PQRS ~ TUVW are similar;
So, VW/RS = UT/QP
x/12 = 6/9
x = 8
Therefore, the value of x is 8
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pleaseeee help with #3 !!!!
Answer:
16
Step-by-step explanation:
\(8=\sqrt{4x} \\ \\ 64=4x \\ \\ x=16\)
Given f(x) = 2x5 + 12, what is the value of (f-1 o f)(2)?
Answer:
2
Step-by-step explanation:
You are trying to find (f' o f)(2). This means that you need to put f(x) into f'(x) and solve for 2.
First, find f'(x). To do this, take the original function and switch the x and y values.
y = 2x⁵ + 12
x = 2y⁵ + 12
x - 12 = 2y⁵
(x - 12)/(2) = y⁵
y = ⁵√(x - 12)/(2)
Now, you need to put f(x) into the inverse function through the x-value. Simplify completely.
y = ⁵√((2x⁵ + 12) - 12)/(2)
y = ⁵√((2x⁵)/(2)
y = ⁵√x⁵
y = x
Now plug in the value given to you.
(f⁻¹ o f)(2) = 2
The answer is 2.
Caleb's annual salary is $45,000 per year. His employer matches 75% of his 401k
contributions up to 10% of his annual salary. Caleb contributes $250 from each
biweekly paycheck to his 401k account. What is the combined total of his annual
contribution and his employer's contribution?
The combined total of his annual contribution and his employer's contribution is $13,000.
What is the Combined total?The term "combined total" refers to the sum or aggregate of two or more individual quantities, values, or amounts. It represents the cumulative or total amount resulting from the combination or addition of multiple components.
According to the given information:
First, let's calculate Caleb's annual contribution to his 401k account.
Caleb contributes $250 from each biweekly paycheck, so his biweekly contribution is $250.
Since there are 26 biweekly pay periods in a year (52 weeks), his total biweekly contributions in a year would be 26 * $250 = $6,500.
Caleb's annual salary is $45,000 per year, and his employer matches 75% of his 401k contributions up to 10% of his annual salary. So, the maximum employer match would be 75% of 10% of $45,000, which is 0.75 * 0.10 * $45,000 = $3,375.
Since Caleb's annual contribution ($6,500) is less than the maximum employer match ($3,375), his employer will match his entire contribution.
Therefore, the combined total of Caleb's annual contribution and his employer's contribution would be $6,500 + $6,500 = $13,000.
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Ted is 12 years younger than Francisco. Francisco is 3 times as old as ted. How old is Francisco
Answer:
Francisco is 18
Step-by-step explanation:
call Ted T and Francisco F.
T is 12 years younger than F. So, T = F -12. (call this equation 1)
F is 3 times as old. So, F = 3T (call this equation 2).
sub equation 2 into equation 1:
T= F - 12
= 3T - 12.
So, T = 3T -12
subtract T from both sides:
0 = 3T - T - 12.
Add 12 to both sides:
3T - T = 12
2T = 12
T = 6.
Ted is 6.
Francisco is 3 times as old. So, Francisco is 3 X 6 = 18.
Identify and explain the processes that are used to show that a function is either a state or path function. Provide an example of each case - state or path - for each process you identify.
The processes used to determine if a function is a state or path function include integration/differentiation and examining the differential form of the function. Integrating a function with respect to a variable yields a state function, while differentiating a function with respect to a variable yields a path function.
If the differential form of a function involves only state variables, it is a state function. If it involves both state and path variables, it is a path function.
To determine whether a function is a state or path function, we can examine the properties of the function and the variables involved. A state function depends only on the current state of the system and is independent of the path taken to reach that state. In contrast, a path function depends on the path taken to reach a particular state.
One common process used to determine the nature of a function is integration or differentiation. Integrating a function with respect to a variable yields a state function, whereas differentiating a function with respect to a variable yields a path function. For example, integrating the pressure (P) with respect to volume (V) yields a state function called the internal energy (U). On the other hand, differentiating the work (W) with respect to volume (V) yields a path function known as pressure (P).
Another process used is the examination of the differential form of the function. If the differential form of a function involves only state variables, then the function is a state function. For instance, the differential form of the enthalpy (H) involves only state variables (dH = dU + PdV), making it a state function. However, if the differential form involves both state and path variables, the function is a path function. An example is the differential form of heat (Q), which involves both state and path variables (dQ = dU + PdV), indicating that it is a path function.
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