A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195, how long was the repairman there? answers a: 2 hours b: 2.5 hours c:4 hours d: 3 hours
The time spent by the repairman there will be 3 hours so the correct answer is option D.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195.
The time will be calculated as:-
Total amount = $195
Now the fixed consulting cost will be $60 and will be deducted from the
total amount.
Variable cost = 195 - 60 = 135
The $45 per hour charge so for $145 the time will be:-
Time = 135 / 45
Time = 3 Hours
Therefore the time spent by the repairman there will be 3 hours so the correct answer is option D.
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if a sample of 7 keyboards is randomly selected, what is the probability that at least 6 of these will have a mechanical defect? (round your answer to four decimal places.) 0.0134 incorrect: your answer is incorrect.
The probability that at least 6 of these will have a mechanical defect is 0.1612.
What is referred as the combination?The combination formula is used when we need to discover the number of ways to select a group of items from the a higher proportion of items. If n is the amount of items in the pool and r is the amount of items to be chosen from the pool, then nCr gives the number of ways to do this, which can be calculated as; nCr = n!/r!(n-r)!.For the given question;
At least six of the seven chosen has to have a mechanical defect.
So we add this same cases with exactly 6 mechanical defects and the cases with exactly 7 mechanical defects.
Number of possible approaches = ⁶C₂ + ¹⁹C₇ = 6!/2!4! + 19!/7!2!
= 27132 + 50388
= 77, 520
Calculated the total number of options to pick the seven keyboards as;
²⁵C₇ = 25!/7!18!
²⁵C₇ = 480,700.
As a result, the necessary probability = 77, 520/480,700 = 0.1612.
Thus, the probability that at least 6 of these will have a mechanical defect is 0.1612.
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The complete question is-
Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed keyboards, 6 of which have electrical defects and 19 of which have mechanical defects.
If a sample of 7 keyboards is randomly selected, what is the probability that at least 6 of these will have a mechanical defect? (Round the answer to four decimal places.)
8. Solve the equation
x² - 1 = 48
Answer:
x^2-1=48
x^2=48+1
x^2=49
x=\(\sqrt{49}\)
x=7
Step-by-step explanation:
please just put the ordered pair :)
The answer is (1,400) because its 400 jump ropes per hour.
Select the best answer regarding the effects of Carbon monoxide: a. The affinity between CO and hemoglobin is about the same as oxygen. b. The central chemoreceptors will detect the reduction in oxygen delivered to the cells and will increase their firing rate. c. CO results in less oxygen loading hemoglobin but unloading is not changed. d. A small amount of CO in the air will not reduce arterial PO2 levels enough to be sensed by the peripheral chemoreceptors.
The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.
Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.
However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.
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Please solve!!! Bbkakakaj
Answer:
B is the answer because yes
At a little-known vacation spot, taxi fares are a bargain. A 48-mile taxi ride takes 54 minutes and costs $.43.20 You want to find the cost of a 43- taxi ride. What unit price do you need? hurry i have 2 min
Cost of taxi ride for 48 mile is $ 43.20 then unit price is equal to 0.9 dollar per mile , and the cost for 43 mile is $38.7.
As given in the question,
Distance covered by taxi ride = 48 mile
Time taken in 48 mile taxi ride = 54 minutes
Cost of 48mile taxi ride = $43.20
Unit price of taxi ride is
48 mile = $ 43.20
⇒ 1mile = 43.20/ 48
= 0.9 dollar per mile
Cost of taxi ride for 43 mile is
= 0.9 × 43
= $38.7
Therefore, cost of taxi ride for 48 mile is $ 43.20 then unit price is equal to 0.9 dollar per mile , and the cost for 43 mile is $38.7.
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two numbers,thrice the first number minus the second number is 19 and twice the first number plus five times the second number is minus 10 find the product of the two numbers
Answer:
-20
Step-by-step explanation:
X, Y, Z Axis. What do they stand for?
The X, Y, and Z axes define a three-dimensional coordinate system, which is commonly used to represent physical objects or mathematical functions in space.
The X, Y, and Z axes are terms commonly used in mathematics, physics, engineering, and computer graphics to refer to the three dimensions in a three-dimensional coordinate system.
The X-axis is the horizontal axis and is used to represent values along the horizontal plane. It is often called the "abscissa" and is typically drawn as a horizontal line that intersects with the Y-axis at the point where they meet, which is called the origin.
The Y-axis is the vertical axis and is used to represent values along the vertical plane. It is often called the "ordinate" and is typically drawn as a vertical line that intersects with the X-axis at the origin
.The Z-axis is the third axis and is used to represent values along the depth or height plane. It is often called the "applicate" and is typically drawn as a line that is perpendicular to both the X and Y axes, intersecting with both at the origin.
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The distance , d, a train travels in miles depends on the hours, h. The equation shows this relationship, d=120h. How many miles does the train travel in one hour ?
Answer:
120h
Step-by-step explanation:
because one miles is equal to one hour so 120 hours is equivalent to 120 miles
PLZ HELP! IMPORTANT.
You will get 40 points if you answer it its worth it!
I really need Help with that for My math homework its due Today.
Its 6th and 7th grade math. About Direct Variation
Answer: 950 million
Step-by-step explanation: 100/8=12.5 then 12.5x76=950 so its 950 million
I dont quite understand what this question is asking for.
By using the table of values, we have the following:
The value of f(-7) is equal to 4.The value of f(15) is equal to 0.The value of f(3) is equal to 2.The value of f(-4) is equal to 15.If f(x) = 5, the value of x is equal to 4.If f(x) = 2, the value of x is equal to 5.If f(x) = 0, the value of x is equal to 15.If f(x) = -6, the value of x is equal to 2.What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable (x-value) to an output variable (y-value or f(x)).
In this exercise, you're required to determine the value of each function based on the value of x shown in the table above. Therefore, you would identify the input variable (x-value) that corresponds to the value of the output variable (y-value or f(x)) in the given table and vice-versa.
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is 12 a perfect square
Answer:
No
Step-by-step explanation:
Alex knits hats and scarves to sell at a craft market. He can make at most 20 hats and 30 scarves, but no more than 40 items altogether, in time for the market.
Write and graph a system of inequalities that shows the possible numbers of hats and scarves Alex can bring to the craft market if he wants to bring at least 25 items. Identify three (3) possible combinations, and say which he should
choose.
The three (3) possible combinations are
hats = 10, scarves = 30hats = 10, scarves = 20hats = 20, scarves = 20Alex should 20 hats and 20 scarves
How to find the possible combinations Alex can bring to the marketLet the number of scarves be x and y be the number of hats
He can make at most 20 hats and 30 scarves, but no more than 40 items altogether
x ≤ 20
y ≤ 30
x + y ≤ 40 (in time of market)
x + y ≥ 25
The possible combinations are
1 ⇒ x = 10, y = 302 ⇒ x = 10, y = 203 ⇒ x = 20, y = 20He should choose the third option x = 20, y = 20 this allows him to take more products to the show
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Find the exact length of the curve. y = In(sec(x)), 0≤x≤ Need Help? Read It π 4 Watch It
The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:
To solve for the length of the curve of y = In(sec(x)), we use the formula,
`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.
We know that:`f′(x) = d/dx[In(sec(x))]`
Using the formula of logarithm differentiation, we can write the above equation as:
`f′(x) = d/dx[In(1/cos(x))]`
So,`f′(x) = -d/dx[In(cos(x))]`
Therefore,`f′(x) = -sin(x)/cos(x)`
Substituting the values, we get:
`L = ∫[a,b] √[1+(f′(x))^2] dx`
`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`
`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`
`L = ∫[0,π/4] sec(x) dx`
Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.
We calculate the constant by substituting the values of `a = 0` and `b = π/4`:
`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`
`L = ln(√2 + 1) - ln(1 + 0)`
`L = ln(√2 + 1)`
Thus, the exact length of the curve is `ln(√2 + 1)` units.
Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.
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mike's cactus was 50 inches tall when he planted it in his yard. The cactus plant grew 1 and 3/4 inches per year . The cactus plant is now 55 and 1/4 inches tall
how many years ago did mike plant the cactus plant?
Answer:
5
Step-by-step explanation:
How is rational algebraic expressions different with fractions? How is it the same
The difference between rational algebraic expressions and fractions is discussed above.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a combination of terms, both variables and constants.
For example → 2x + 3y + z
Given is to explain how is rational algebraic expressions different with fractions.
In a rational algebraic expressions, the expression function in the numerator and denominator both are non - zero polynomials. A fraction is of the form {x/y}, in which it is not necessary that {x} and {y} should be polynomials only. They can be numbers also.
Therefore, the difference between rational algebraic expressions and fractions is discussed above.
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hi (Operations with Fractions MC) A gardener already has four and 2 over 3 ft of fencing in his garage. He wants to fence in a square garden for his flowers. The length of one side of the garden will be three and one over four ft. How much more fencing will the gardener need to purchase?
By evaluating areas, we calculate that the amount of fencing the gardener needs to purchase is \(8\frac{1}{3}\)
The gardener currently has already fence = \(4\frac{2}{3}\)
Length of one side =\(3\frac{1}{4}\)
Since the square garden has four equal-length sides because it is square, we must multiply the length of one side by four to determine the total length of the fence required:
\(4*(3\frac{1}{4}) = 4*(3+\frac{1}{4} ) = 4*3 + 4*\frac{1}{4} = 12 + 1 = 13\)
13 sq. feet is the total area of the garden.
The gardener already fence \(4\frac{2}{3}\). As a result, we can calculate the remaining amount needed by subtracting the amount needed from the amount the gardener already has. So let's do that:
\(=13 - 4\frac{2}{3} \\=13 - \frac{14}{3}\\ =\frac{39-14}{3} \\=\frac{25}{3} \\=8.33\)
Hence, the amount of fencing the gardener needs to purchase is \(8\frac{1}{3}\)
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What is the length of AC?
Answer:
b
Step-by-step explanation:
Answer:
136
Step-by-step explanation:
triangles CAB and CED are similar, their sides are proportional
set up a proportion:
\(\frac{51}{144-x}\) = \(\frac{3}{x}\)
cross-multiply: 51x = 3(144 - x)
51x = 432 - 3x
54x = 432
x = 8
Plug in:
144 - 8 = 136
Write an expression using t and q that represents the total number of sides in your envelope. Explain what terms in your expression represent.
Answer:
Total sum of the sides = Sum of sides of triangle + Sum of sides of quadrilateral.
So, overall expression for the sides of the envelop containing triangle and quadrilateral will be:
3t + 4q
Step-by-step explanation:
So, in an envelope, we have a triangle as well as a quadrilateral.
There will be three sides of a triangle present in the envelop and there will be 4 sides of quadrilateral.
let's suppose that, t showcase the sides of a triangle in the envelope and q showcases the sides of quadrilateral in the envelope.
Total sum of the sides = Sum of sides of triangle + Sum of sides of quadrilateral.
So there is one triangle and one quadrilateral.
Hence, expression of the sides of the triangle will be:
3 sides = t+t+t = 3t
And, expression for the sides of the quadrilateral will be:
4 sides = q +q + q +q = 4q
So, overall expression for the sides of the envelop containing triangle and quadrilateral will be:
3t + 4q
Help! Foundation maths gcse
Answer:
1) is greater than
2) is equal to
3) is equal to
4) is less than
Please mark as brainliest if answer is right
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Use the quadratic formula to solve for x.
9x^2-3x=1
Round the answer to the nearest hundredth
Last question.
The price of a new car is $28000. The sales tax on the new car is 7% . What will be the amount, in dollars, of the sales tax on the car?
The sales tax of the car is $1960
How to determine the sales tax of the carFrom the question, we have the following parameters that can be used in our computation:
Price of car = $28000
Given that the sales tax on the new car is 7%, we have
Sales tax amount = 7% * Cost of new car
Substitute the known values in the above equation, so, we have the following representation
Sales tax amount = 7% * $28000
Evaluate
Sales tax amount = $1960
Hence. the Sales tax amount is $1960
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What piece of evidence could Quinn add to best strengthen her argument?
Answer: A.
Step-by-step explanation: Its seems the only one on topic
what is the meaning of interval [a,b]
Answer:
Step-by-step explanation:
interval in mathematics stands for a set of real numbers,
denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.
thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.
A soccer player takes a shot on goal 15 times and scores a goal 3 of those attempts. What are the odds of the soccer player scoring a goal?
a. 3/12
b. 4
c. 3/15
d. 5
The odds of the soccer player scoring a goal is 4. The correct option is (b).
The odds of an event happening can be calculated by dividing the number of successful outcomes by the number of unsuccessful outcomes.
In this case, the soccer player scored a goal 3 times out of 15 attempts.
The number of successful outcomes is 3 (goals scored), and the number of unsuccessful outcomes is 15 - 3 = 12 (failed attempts).
Therefore, the odds of the soccer player scoring a goal can be expressed as 3:12, which can be simplified to 1:4.
To match the given answer choices, we can rewrite the odds as a fraction by dividing both sides by the number of successful outcomes:
Odds = Successful outcomes : Unsuccessful outcomes
Odds = 3 : 12
Odds = 3/3 : 12/3
Odds = 1 : 4
So, the correct answer is option b. 4.
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What number is 1/2 of 4
Answer:
1/2 of four is 2
Step-by-step explanation:
What is the slope-intercept form of the linear equation 4x + 2y = 24?
Answer:
y = -2x + 12
Step-by-step explanation:
Slope-intercept form
\(y=mx+b\)
where:
m is the slope.b is the y-intercept.Therefore, to find the slope-intercept form of the given linear equation, isolate y:
\(\implies 4x+2y=24\)
\(\implies 4x+2y-4x=-4x+24\)
\(\implies 2y=-4x+24\)
\(\implies \dfrac{2y}{2}=\dfrac{-4x}{2}+\dfrac{24}{2}\)
\(\implies y=-2x+12\)
Answer:
y = -2x + 12
Step-by-step explanation:
Given equation,
→ 4x + 2y = 24
The slope-intercept form is,
→ y = mx + b
Converting into slope-intercept form,
→ 4x + 2y = 24
→ 2y = -4x + 24
→ y = (-4x + 24)/2
→ [ y = -2x + 12 ]
Hence, the solution is y = -2x + 12.
Department of Labor
6. Exercise:
Pretend that you are a business owner and decide what kind of
business you are in (i.e. construction, retail clothing store,
bank, etc.)
Look In the First Step Empl
The Department of Labor is a federal government agency responsible for enforcing labor laws and promoting the welfare of workers. If you are a business owner, you should familiarize yourself with the various laws and regulations enforced by the Department of Labor.
Such as minimum wage laws, overtime pay requirements, workplace safety standards, and anti-discrimination laws. It is also important to comply with any reporting requirements and to keep accurate records of employee hours, wages, and other employment information. Failure to comply with labor laws and regulations can result in penalties and legal action against your business.
If you are a business owner, you should familiarize yourself with the various laws and regulations enforced by the Department of Labor. workplace safety standards, and anti-discrimination laws. It is also important to comply with any reporting requirements and to keep accurate records of employee hours, wages, and other employment information. Failure to comply with labor laws and regulations can result in penalties and legal action against your business.
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If a component has a normally distributed strength with a standard deviation of 2.5, what is the standard deviation of the equivalent z-distribution? (
The standard deviation of the equivalent z-distribution is 0.25.
The standard deviation of the equivalent z-distribution can be calculated by dividing the standard deviation of the original distribution by the square root of the sample size.
In this case, since the strength of the component is normally distributed with a standard deviation of 2.5, we need to determine the standard deviation of the equivalent z-distribution.
To calculate this, we need to know the sample size. The z-distribution is used when we have a large sample size, typically considered to be 30 or greater.
Let's assume we have a sample size of 100.
The formula to calculate the standard deviation of the equivalent z-distribution is:
Standard deviation of the z-distribution = Standard deviation of the original distribution / √(sample size)
Substituting the values into the formula:
Standard deviation of the z-distribution = 2.5 / √(100)
Simplifying the expression:
Standard deviation of the z-distribution = 2.5 / 10
Standard deviation of the z-distribution = 0.25
Therefore, the standard deviation of the equivalent z-distribution is 0.25.
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