Part A:
Let x be the number of hours of labor to complete the job
y be the total amount charged.
Since there is an initial charge of $375 for the parts, and $66 per hour, the total amount charged can be written in the equation
\(y=66x+375\)Part B:
If James was charged a total of $771, then y = 771, solve for x.
\(\begin{gathered} y=66x+375 \\ \\ \text{Substitute }y=771 \\ 771=66x+375 \\ \\ \text{Subtract both sides by }375 \\ 771-375=66x+375-375 \\ 396=66x\cancel{+375-375} \\ 66x=396 \\ \\ \text{Divide both sides by }66 \\ \frac{66x}{66}=\frac{396}{66} \\ \frac{\cancel{66}x}{\cancel{66}}=6 \\ x=6 \end{gathered}\)Therefore, the number of labor hours was 6.
A round pencil is sharpened to a cone shape at both ends.calculate the volume of the pencil if the two radius is 1.2 and heights are 8cm
Answer:
A round pencil is sharpened at both ends the hight of the pencil is 16cm the length of the pencil is 1cm the radius of the two sharpened ends is 16cm 1.2cm
Calculate the volume using the value 22/7.
Step-by-step explanation:
For a school project, Leah is investigating cell phone use in her hometown, Georgetown. So far, she has found that the residents of Georgetown used their cell phones for 463,090 minutes last year. This year, they used their cell phones for a total of 370,472 minutes. What is the percent of decrease in annual usage?
Answer:
19.99%
Step-by-step explanation:
hope this helps
here you go
Find the equation (in slope-intercept form) of the line with the given slope that passes through the pointwith the given coordinates.slope::-5ordered pair: (-1,3)2
Answer:
y = - 5/2 x + 1/ 2
Explanation:
A linear equation in slope-intercept form is given by
\(y=mx+b\)where m = slope and b = y-intercept.
Now in our case, we are told that our equation has a slope of -5/2. This means m = -5/2 and so we have
\(y=-\frac{5}{2}x+b\)Furthermore, we are also told that the line defined by this equation passes through (-1, 3). This means that our equation must satisfy x = -1 when y = 3.
Putting x = -1 and y = 3 into the above equation gives
\(3=-\frac{5}{2}(-1)+b\)Our goal now is to solve for b.
The negative signs on the right-hand side cancel to give
\(3=\frac{5}{2}+b\)subtracting 5/2 from both sides gives
\(3-\frac{5}{2}=\frac{5}{2}+b-\frac{5}{2}\)\(3-\frac{5}{2}=b\)Since 3 - 5/2 = 1/2, the above becomes
\(b=\frac{1}{2}\)Hence, the equation of our line in slope-intercept form is
\(\boxed{y=-\frac{5}{2}x+\frac{1}{2}\text{.}}\)Naji is trying to draw an isosceles triangle. He is
given point A at (-4,-2) and point B at (2,-2).
Plot these two points, then help Naji make the
isosceles triangle ABC by ploting point C. Give
your coordinates for point C. It must be on the
grid provided.
Answ
Step-by-step explanation:wirugf4
DON'T SOLVE IT
I know the answer. I just need to know the TOPIC in geometry.
What is the topic???
Answer:
Triangles in Geometry
Step-by-step explanation:
PLEASE HELP NEED THIS DONE ASAP
Answer:
Equation: $7 + $1.25t = $43.25
Solving:
$7 + $1.25t = $43.25
$1.25t = 36.25
$1.25t = 36.25
t = 29
So the answer is 29 minutes.
the daily totals of enrollments at sunny side daycare last monday through saturday were 17, 19, 23, 14, 25, and 28
The average number of enrollments per day at the Sunnyside Daycare is 21.
What is an average?An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.
An average is the mean, which is one of the central tendency values.
Data and Calculations:Day Number of Enrollments
Monday 17
Tuesday 19
Wednesday 23
Thursday 14
Friday 25
Saturday 28
Total = 126
Average enrollments = 21 (126/6)
Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.
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Question Completion:What was the average number of enrollments per day?
19. Write an ordered pair for the point in Quadrant II, that is 8 units away from the point Q
(0.75 -3.25) on a coordinate plane.
An ordered pair of point in Quadrant II is 8 units away from this point, the resulting point will be (-7.25, 4.25)
In this question, we need to find an ordered pair for the point in Quadrant II, that is 8 units away from the point Q(0.75 -3.25) on a coordinate plane.
If we have a coordinate point (x, y) in Quadrant ||, if the coordinate is 8 units away, the resulting coordinate will be expressed as (x - 8, y + 8)
Given the point Q(0.75, -3.25) on the coordinate the plane, if a point in Quadrant II is 8 units away from this point, the resulting point will be (0.75 - 8, -3.25 + 8) which is (-7.25, 4.25)
Therefore, an ordered pair a point in Quadrant II is 8 units away from this point, the resulting point will be (-7.25, 4.25)
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choose all the numbers that are common multiples of 12 and four
Answer:
12, 24 , and 36
Step-by-step explanation:
Answer:
12 24 36
Step-by-step explanation:
At a dinner, the meal cost $22 and a sales tax of $1.87 was added to the bill.
How much would the sales tax be on a $66 meal?
Please show work.
Answer:
It is 5.61
Step-by-step explanation:
22×3=66
1.87×3=5.61
Hector is buying carrots and potatoes from the grocery
store. The carrots cost $0.64 per pound, and potatoes
cost $0.50 per pound. He creates a graph that shows
all the combinations of pounds of carrots and pounds
of potatoes that he can buy for $4.00. He graphs
pounds of carrots on the x-axis and pounds of
potatoes on the y-axis. What is the y-intercept of
Hector's graph?
A. 7
B. 6.25
C. 7.125
D. 8
Answer:
D. 8
Step-by-step explanation:
4 divided by 0.50 is 8
Use formula to find the area of the figure
The area of the figure in this problem is given as follows:
A. 30 in².
How to obtain the area of the figure?The area of a triangle is given by half the multiplication of the base length by the height of the triangle.
Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:
4² + x² = 6²
x² = 36 - 16
x² = 20
x = square root of 20
x = 4.47.
For a right triangle, one side is considered the height of the other, hence the sides are:
4 in.4.47 + 8 = 12.47 in.Hence the area of the triangle is then obtained as follows:
Area = 0.5 x 4 x 12.47
Area = 25 in².
Which is closest to 30 in².
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(i) Write the zeroes of the polynomial by using above graph.
(ii)Form a quadratic polynomial for above graph.
(iii)If a,1/a are the zeroes of polynomial 2x² -x +8k, then find the value of k.
please answer
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There is no real Value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
(i) Zeroes of the polynomial:
In the graph, we have two points where the curve intersects the x-axis: one is at (-1,0), and the other is at (2,0).The corresponding values of x are -1 and 2, and they are the zeros of the polynomial. Therefore, the zeros of the polynomial are -1 and 2.(ii) Forming the quadratic polynomial:
From the graph, we can observe that the curve intersects the y-axis at the point (0,5), implying that the constant term of the polynomial is 5.
We can use the formula to find the quadratic polynomial if we have two zeros and one constant term. Thus, the quadratic polynomial is given by:(x + 1)(x - 2) = x² - x - 2x + 2 = x² - 3x + 2. Therefore, the quadratic polynomial is x² - 3x + 2.(iii) Value of k if a, 1/a are the zeroes of the polynomial 2x² - x + 8k:
We know that a and 1/a are the zeroes of the polynomial 2x² - x + 8k. Therefore, we can find the sum and product of the roots and use them to determine the value of k.
The sum of the roots is a + 1/a, and their product is a(1/a) = 1. Using the sum and product of the roots, we can write: a + 1/a = 1/2 (1/2 is the coefficient of x)Substituting a with 1/a in the above equation, we get: 1/a + a = 1/2Multiplying both sides of the equation by 2a, we get: 2 + 2a² = a
Simplifying the equation, we get: 2a² - a + 2 = 0Multiplying both sides by 2,
we get: 4a² - 2a + 4 = 0Dividing both sides by 2, we get: 2a² - a + 2 = 0
Using the quadratic formula, we get: a = [1 ± √(1 - 4(2)(2))]/(2(2))
Simplifying, we get: a = [1 ± √(-31)]/4Since the discriminant of the quadratic formula is negative, the roots are imaginary. Therefore, there is no real value of k that will satisfy the equation 2x² - x + 8k = 0 if a and 1/a are the roots of the polynomial.
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8. A cone shaped paper cup has a radius of 1.5 inches and a height of 3 inches. What is the volume of the cup?
Answer:
\(V=7.06\ \text{inches}^3\)
Step-by-step explanation:
Given hat,
The radius of cone shaped paper cup, r = 1.5 inches
The height of cone shaped paper cup, h = 3 inches
We need to find the volume of the cup. For a cone shaped, the volume is given by :
\(V=\dfrac{1}{3}\pi r^2 h\)
Putting all the values in the above formula.
\(V=\dfrac{1}{3}\pi \times (1.5)^2 \times 3\\\\V=7.06\ \text{inches}^3\)
So, the volume of the cup is \(7.06\ \text{inches}^3\).
solve the following using completing the square method :
1. 10x² - 13x - 3 = 0
2. x² - 2x + 1 = 0
Answer:
1. x = {1.5, 0.2}
2. x = 1
Step-by-step explanation:
Find the slant height of the pyramid.
7 mm
6 mm
8 mm
5 mm
Answer:
5 mm
Step-by-step explanation:
Given:
A rectangular pyramid
h (height) = 4 mm
l (side length) = 6 mm
Find: s (slant height) - ?
There is a right triangle in the middle
The bottom leg is 3 mm, because it's half the side length of the square
According to that, we can find x by using the Pythagorean theorem:
\( {x}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)
\(x > 0\)
\(x = \sqrt{25} = 5\)
use complete sentences to describe the transformation of triangle ABC into its image.
Answer:
Move triangle ABC over 2 and up 1
Step-by-step explanation:
A transformation in geometry is to essentially move a shape. To move ABC onto A1B1C1 you would move triangle ABC over 2 and up 1.
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.
The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.
The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.
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15 POINTS TO ANYBODY THAT SOLVE THIS EQUATION
Answer:
This is how i had my answer
Hope it helped
Answer:
r=6
Step-by-step explanation:
This site in a nutshell:
50% M0d abuse
30% GoogIe
15% TroII
5% legit answer
yea its complicated
The function F is given in 3 equivalent forms.
Which form most quickly reveals the y intercept?
Look at image below
Part 2: what is the y intercept?
The form that most quickly reveals the y intercept is
B f(x) = 1/2 x² - 5x + 21/2The y intercept is (0, 21/2)
What is y-intercept?The y-intercept is the point where a function or a curve intersects the y-axis. In other words, it is the value of the dependent variable (y) when the independent variable (x) is equal to zero.
In the form, f(x) = 1/2 x² - 5x + 21/2 it is easier to see that eliminating x by plugging in 0 leaves 21/2 which is the y intercept
hence we can easily say that the y intercept is (0, 21/2)
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The equation y32.92-572.87 can be used to model the relationship between sales at a local ice cream shop, y, in dollars, and the outside temperature, z, in degrees Fahrenheit (F)
Complete the statements
When the outside temperature is 30°F, the sales are estimated to be
When the outside temperature is [DROP DOWN 21, the sales are estimated to be $1,993.33
When the outside temperature is 30°F, the sales are estimated to be $414.73.
The outside temperature is approximately 78.03°F, the sales are estimated to be $1,993.33.
Define temperatureIt refers to a physical property of matter that reflects how hot or cold an object is relative to other objects or a standard scale. Temperature is typically measured in units such as Celsius (°C), Fahrenheit (°F), or Kelvin (K).
When the outside temperature is 30°F, the sales are estimated to be:
y = 32.92(30) - 572.87
y = 987.60 - 572.87
y = $414.73
Therefore, when the outside temperature is 30°F, the sales are estimated to be $414.73.
When the outside temperature is x, the sales are estimated to be $1,993.33, we can solve for x as follows:
1,993.33 = 32.92x - 572.87
2,566.20 = 32.92x
x ≈ 78.03°F
Therefore, when the outside temperature is approximately 78.03°F, the sales are estimated to be $1,993.33.
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If a door has three points A,B,C with length AB=12ft, AC=16ft, and BC=20ft, is the angle at A a right angle?
Since the largest side corresponds to the hypotenuse of a right triangle, we can draw the following picture:
Then, if the triangle is a right one, Pythagorean theorem must be fulfilled. This indicates that the sum of each of the squared legs must be equal to the hypotenuse squared, that is,
\(12^2+16^2=20^2\)which gives
\(144+256=400\)The left hand side is equal to 400, so we have that
\(400=400\)so the sides belong to a righ triangle. So, Is the angle A a right angle? Answer: YES
Write a polynomial
f(x)
in general form that has the following characteristics.
• Degree 3
• Leading coefficient of 4
• One double root at
x = −6
• One root at
x = 5/2
The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.
Polynomials in general form.It follows from the task content that the Polynomial in discuss has;
Degree 3.Leading coefficient of 4.One double root at, x = −6.One root at; x = 5/2.Therefore, the factored form of a polynomial can be written as follows;
P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.
Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).
Hence, the polynomial f(x) in discuss can be written as follows;
f(x) = 4 (x + 6) (x + 6) (x - 5/2)
f(x) = (x + 6) (x + 6) (4x - 10)
f(x) = 4x³ + 38x² + 24x - 360
Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.
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How many times did the team score less than 60 points?
Stem
4
5
6
7
Leaf
2,5,9
3,4,6,8,8,9
0,2,3,4,4,6,8
0,0,1,2
Use differentials to estimate the amount of paint needed to apply at coat of paint 0.05 cm thick to a hemispherical dome with diameter 50 cm.
The amount of paint needed is 196.35 \(cm^{2}\).
We know that,
\(V = \frac{2}{3}\pi r^{3}\)
Remember that we have a hemisphere here, So
\(dV = \frac{2}{3} (3\pi r^{2} )dr\)
Now the amount of paint needed is \(dV = 2\pi r^{2} dr\).
Here,
\(dr = 0.05 cm\)
and
\(r = 25cm\) [Because \(d = 50cm\)]
Hence
\(dV = 2\pi (25)^{2} (0.05)\)
\(dV = \frac{125\pi }{2}\)
\(dV =\) 196.35 \(cm^{2}\).
Therefore The amount of paint needed is 196.35 \(cm^{2}\).
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1. Discuss ONE current issue which relates to Malaysian Public Sector Accounting. Your issues should be registered in MMLS and should be different from others. Your answer should include the detail of issue and recommendation to the issue highlighted.
One current issue which relates to Malaysian Public Sector accounting is Political support and willingness of the key stakeholders to initiate and carry out the reform.
What is public sector accounting?Public sector accounting is a process used by government agencies and municipalities to record financial transactions. It focuses on tracking funds generated from tax revenues and expenditures related to projects or appropriations.
The issue is Political support and willingness of the key stakeholders to initiate and carry out the reform.
This, in some cases, might imply the support from the highest level of authorities, such as a President or a Prime Minister. In most of the cases, the Ministry of Finance (MoF) assumes the leading role in PSA reform implementation. Other key players, including the Treasury, Supreme Audit Institutions, and Professional Accounting Organizations (PAO), need to be also identified and involved to ensure the success of the reform process.
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Gus has a fish tank that holds
4710
47104710 inches
3
3
cubed of water. He is using a cylinder shaped bucket with a radius of
5
55 inches and a height of
20
2020 inches to fill the tank.
How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?
Use
3.14
3.143, point, 14 for
π
Gus will need to fill the bucket 3 times to completely fill the fish tank, assuming he doesn't spill any water.
To find how many times Gus will need to fill the bucket to completely fill the fish tank, we first need to calculate the volume of the bucket. The formula for the volume of a cylinder is:
V = πr²h
where V is the volume, r is the radius, and h is the height.
Substituting the given values into the formula gives:
V = 3.14 x 5² x 20
V = 3.14 x 25 x 20
V = 1570 inches³
Therefore, each time Gus fills the bucket, he will add 1570 inches³ of water to the fish tank. To calculate how many times he needs to fill the bucket to fill the entire fish tank, we can divide the total volume of the fish tank by the volume of the bucket:
4710 / 1570 = 3
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Complete question is:
Gus has a fish tank that holds 4710 inches³ of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank. How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn't spill a drop?
The American Association of Individual Investors (AAII) On-Line Discount Broker Survey polls members on their experiences with electronic trades handled by discount brokers. As part of die survey, members were asked to rate members were asked to rate their satisfaction with the trade price and the speed of execution, as well as provide an overall satisfaction rating. Possible responses (scores) were no opinion (0), unsatisfied (1), somewhat satisfied (2), satisfied (3), and very-satisfied (4). For each broker, summary scores were computed by computing a weighted average of die scores provided by each respondent. A portion the survey results follow (AAII Web site. February 7, 2012). Develop an estimated regression equation using trade price and speed of execution to predict overall satisfaction with the broker. Interpret die coefficient of determination. Use the F test to determine die overall significance of the relationship. What is your conclusion at the 0.05 level of significance? Use the t test to determine the significance of each independent variable? What are your conclusions at the 0.05 level of significance? Interpret the estimated regression parameters. Are die relationships indicated by these estimates what you would expect? Finger Lakes Investments has developed a new electronic trading system and would like to predict overall customer satisfaction assuming they can provide satisfactory service levels (3) for both trade price and speed of execution. Use the estimated repression equation developed in part a to predict overall satisfaction level for Finger Lakes Investments if they can achieve these performance levels. What concerns (if any) do you have with regard to die possible responses the respondents could select on the survey.
Previous question
The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.
The estimated regression equation developed in part (a) to predict overall customer satisfaction is given by:
Overall Satisfaction = 0.3151*Trade Price + 0.3132*Speed of Execution + 1.5026
The coefficient of determination (R2) is a measure of how well the equation fits the data and is calculated as the proportion of the variation in overall satisfaction that is explained by the model. In this case, the R2 = 0.39, which means that 39% of the variation in overall satisfaction can be explained by the trade price and speed of execution variables.
To determine the overall significance of the relationship, the F test was used. The F statistic was calculated to be 17.874, which was significant at the 0.05 level (p-value = 0.000), indicating that the model was an effective predictor of overall customer satisfaction.
The t tests were then used to determine the significance of each independent variable. The t statistic for Trade Price was 2.639 (p-value = 0.009), indicating that the variable was significant at the 0.05 level, while the t statistic for Speed of Execution was 2.565 (p-value = 0.012), indicating that the
The estimated regression equation developed in part (a) was found to be an effective predictor of overall customer satisfaction, as indicated by the significant F and t test results.
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Two boards are placed end to end to make a walkway. One board is 6 feet 11 inches long, and the other board is 5 feet 7 inches long. How long is the walkway?
Write your answer in feet and inches. Use a number less than 12 for inches.
The walkway is 11 feet 6 inches long.
To find the length of the walkway, we need to add the lengths of the two boards.
The first board is 6 feet 11 inches long, which can be written as 6 + 11/12 feet using the fact that there are 12 inches in a foot.
The second board is 5 feet 7 inches long, which can be written as 5 + 7/12 feet.
Now we can add the lengths of the two boards:
6 + 11/12 feet + 5 + 7/12 feet
= 11 + 6/12 feet
=11 + 1/2 feet
Therefore, the walkway is 11 feet 6 inches long.
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