Answer:
(a) 1 inch of rider ⇒ 0.29 inches of frame
Step-by-step explanation:
The "slope" in the equation is the coefficient of the independent variable. Here, that variable is "h", and its coefficient is 0.29. That is, the height of the rider is multiplied by 0.29 (and a constant is added) in order to find the height of the frame.
__
The meaning of the value 0.29 is that a 1 inch increase in the rider's height should result in a 0.29 inch increase in the height of the frame of the bike.
The question asks for an explanation of the slope, not its function in the equation. That is why we have chosen the first answer.
Answer: inch of rider ⇒ 0.29 inches of frame
Step-by-step explanation:
10+(-3.5) times 2+(-9) divided by (-3)
Answer:
6
Step-by-step explanation:
hope it helped<3
3+3/4x= 7/10 do not use decimals in your answer
Answer:
x = \(-\frac{45}{15}\)
Step-by-step explanation:
We have the equation: 3 + \(\frac{3}{4} x\) = \(\frac{7}{10}\)
Move the constant (in this case the constant is 3) to the right side of the equation, changing its sign
\(\frac{3}{4} x\) = \(\frac{7}{10}\) - 3
Calculate the difference.
\(\frac{3}{4} x\) = \(-\frac{23}{10}\)
Divide.
(when dividing two fractions, you can change it to a multiplication problem by switching the numerator and denominator of the divisor.)
So, we get the equation \(-\frac{23}{10}\) x \(\frac{4}{3}\) which is \(-\frac{45}{15}\) .
I hope this helps!
HELP ME PLEASE WILL MARK BRAINLEST
Answer:
i think 20 hours i believe is it
Answer:
20 hours
Step-by-step explanation:
Find the area between the graphs of \( y=x^{2} \) and \( =\frac{2}{1+x^{2}} \). First make a sketch to help you get an operation order correct.
The area between the graphs of ( y=x^{2} ) and ( y=\frac{2}{1+x^{2}} ) is (\frac{2\pi+2}{3}) square units.
To find the area between two curves, we need to integrate the difference of the equations with respect to x over the interval where they intersect.
Let's first graph the two functions:
Graph of y = x^2 and y = 2/(1+x^2)
From the graph, we can see that the two curves intersect at (-1,1) and (1,1). Therefore, we need to integrate the difference of the equations from -1 to 1.
[Area = \int_{-1}^{1}\left(\frac{2}{1+x^2}-x^2\right)dx]
Now, we can use calculus to evaluate this integral:
[\begin{aligned}
\int_{-1}^{1}\left(\frac{2}{1+x^2}-x^2\right)dx &= \left[2\tan^{-1}(x)-\frac{x^3}{3}\right]_{-1}^{1}\
&= \left[2\tan^{-1}(1)-\frac{1}{3}-\left(-2\tan^{-1}(1)+\frac{1}{3}\right)\right]\
&= \frac{4}{3}\tan^{-1}(1)+\frac{2}{3}\
&= \frac{4}{3}\cdot\frac{\pi}{4}+\frac{2}{3}\
&= \frac{2\pi+2}{3}
\end{aligned}]
Therefore, the area between the graphs of ( y=x^{2} ) and ( y=\frac{2}{1+x^{2}} ) is (\frac{2\pi+2}{3}) square units.
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$299 bicycle: 10% discount
Answer:
the correct answer is $269
Step-by-step explanation:
Answer:
$269
Step-by-step explanation:
SOLVE THIS!!!! CAUSE...WELL BRAINLY
please fill in the blanks
Time is an illusion~
that helps things make ____
so we're always living in the present tense
it is unforgiving when a good thing ____
Answer: sense happens
Step-by-step explanation:
Nicole has $20 to spend on dinner for herself. She wants to tip 20% on the amount of her meal. Which of the following are amounts that Nicole could spend on her meal, while still staying under budget after tip is added? Select all that apply.
$13.00
$14.79
$16.55
$19.80
$20.25
$21.50
Answer:
Total amount spent for meal = $16.65
Step-by-step explanation:
Given:
Amount spent on dinner = $20
Tip = 20%
Find:
Total amount spent for meal
Computation:
Total amount spent for meal = Amount spent on dinner / (1+tip)
Total amount spent for meal = 20 / 1.2
Total amount spent for meal = 16.666
Total amount spent for meal = $16.65
In a crash safety test, engineers accelerate teo cars toward each other so that the fistance in meters between them is modeled by
\(d(t) = 25 - {t}^{2} \)
, where t is time in seconds. What is the domain on which the model is applicable?
A.
\(0 \leqslant t \leqslant 25\)
B.
\(0 < t < 5\)
C.
\(0 < t < 25\)
D.
\(0 \leqslant t \leqslant 5\)
Which statements are true about these lines? Select three options.
Line RS has a slope of 6.
Line SW has an undefined slope.
Line TV has a slope of 0.
Lines RS and TV are parallel.
Line SW is perpendicular to line RS, but not to line TV.
Answer:
Line sw has an underfined slope
Line tv has a slope of 0
Line rs and tv are parallel
Step-by-step explanation: I got it right on my quiz
Using the basics of coordinate geometry, the correct options are options 2, 3, and 4.
When two lines are said to be parallel on coordinate axes?Two lines are said to be parallel if their slopes are equal.
From the diagram, we can say that Line RS is parallel to the x-axis.
So, the slope of the line RS is zero.
Line SW is parallel to the y-axis.
So, the slope of line SW is undefined.
Line TV is parallel to the x-axis.
So, the slope of line TV is zero.
Both the line RS and TV have the same slope i.e. zero so lines RS and TV are parallel.
Line SW is perpendicular to both the line RS and line TV.
Therefore, Using the basics of coordinate geometry, the correct options are options 2, 3, and 4.
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Part I: Effective cost per hour
1 shift (8 hours) per day
5 holidays
7 days of vacation
Fringe: 37% of base wage
Base hourly wage: $12.30 per hour
30-minute lunch (paid) plus two 15-minute breaks (paid) per day
1. What is the effective cost per hour per employee? (20 points)
Part II: Reduction in labor cost
Assume 306,050 hours of work needed every year
Productivity increases from 70% to 85%
Round number of workers to whole numbers (below .5, round down; .5 and above, round up)
2. What is the total dollar change in labor expense from this 15% increase in productivity? (10 points) 3. What is the percent change in labor expense from this 15% increase in productivity? (10 points)
The total dollar change in labor expense from this 15% increase in productivity is [calculated value]. The percent change in labor expense is [calculated value].
Part I: Effective cost per hour per employee
To calculate the effective cost per hour per employee, we need to consider various factors such as base wage, fringe benefits, paid time off, and the number of working hours per year.
Base hourly wage: $12.30 per hour
Number of working hours per day: 8 (1 shift)
Number of holidays: 5
Number of vacation days: 7
First, let's calculate the total fringe benefits per hour:
Fringe benefits = 37% of base wage = 0.37 * $12.30 = $4.551
Next, let's calculate the paid time off per hour:
Paid time off = (Number of holidays + Number of vacation days) * 8 hours = (5 + 7) * 8 = 96 hours
Now, let's calculate the effective cost per hour per employee:
Effective cost per hour = Base hourly wage + Fringe benefits + (Paid time off * Base hourly wage)
Effective cost per hour = $12.30 + $4.551 + (96 * $12.30)
Part II: Reduction in labor cost
To calculate the reduction in labor cost due to a 15% increase in productivity, we need to consider the total number of working hours needed and the change in productivity.
Number of working hours needed every year: 306,050
Productivity increase from 70% to 85%: 85% - 70% = 15%
First, let's calculate the initial number of workers needed:
Initial number of workers = Number of working hours needed / (Productivity rate / 100)
Initial number of workers = 306,050 / (70 / 100)
Next, let's calculate the new number of workers needed after the productivity increase:
New number of workers = Number of working hours needed / (New productivity rate / 100)
New number of workers = 306,050 / (85 / 100)
Finally, let's calculate the total dollar change in labor expense:
Total dollar change in labor expense = (Initial number of workers - New number of workers) * Effective cost per hour * Number of working hours per year
To calculate the percent change in labor expense, we can use the following formula:
Percent change in labor expense = (Total dollar change in labor expense / Initial labor expense) * 100
Please provide the values for Effective cost per hour and Initial labor expense to calculate the final answers in Part I and Part II.
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What number can you put in the missing spot of the domain to keep the table a function? Select all that apply.
Answer:
1,8 and 5,10
Step-by-step explanation:
The owner of a small store buys coats for $55.50 each. He sells the coats for $66.00 each. What percent of the purchase price is the sell price?
Answer:
18.9%
Step-by-step explanation:
66 - 55.50 = 10.50
10.50 / 55.50 = 0.189189 or 18.9189%
1. Given f(x) =1/4 (x – 8), what is the value of f(24)?
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(f(24)=4\)
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
\(f(x)=\frac{1}{4}(x-8)\\-----------\\\rightarrow f(24)= \frac{1}{4}(24-8)\\\\\rightarrow f(24) = \frac{1}{4}( 16)\\\\\rightarrow\boxed{f(24)=4}\)
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
1. For breakfast, Harper can choose from oatmeal or scrambled eggs She can drink milk, orange juice, apple juice, or hot chocolate. Make a list, a table, or a tree diagram to represent the sample space.
A product's quality characteristic has a specification (in inches) of $0.200 \pm 0.020$. If the value of the quality characteristic exceeds 0.200 by the tolerance of 0.020 on either side, the product will require a repair of $\$ 150$. The Taguchi loss function for this example is given by:
$L(x)=60(x-T)^2$
b. $L(x)=150(x-T)$
c. $L(x)=375,000(x-T)^2$
d. $L(x)=30(x-T)^2$
If the value exceeds\($0.200$\) by the tolerance of \($0.020$\) on either side, a repair cost of \($\$150$\)is incurred.
\($L(x) = 150(x - T)$\) option b.
The Taguchi loss function measures the cost or loss associated with deviations from a target value in a quality characteristic.
In this case, the specification for the quality characteristic is \($0.200 \pm 0.020$\).
If the value exceeds \($0.200$\) by the tolerance of \($0.020$\)on either side, a repair cost of $\$150$ is incurred.
Based on this information, the Taguchi loss function for this example is given by:
b.\($L(x) = 150(x - T)$\)
In the given options, option b represents the correct Taguchi loss function. The loss function is a linear function where the loss increases linearly with the deviation from the target value.
The coefficient of \($150$\) represents the cost of repair per unit deviation.
This loss function is appropriate for the given scenario as it accurately captures the cost associated with deviations from the target value.
The Taguchi loss function provides a quantitative measure to assess the impact of variations in the quality characteristic and helps in making decisions regarding process improvement and optimization.
In this case, it allows for evaluating the cost implications of exceeding the specified tolerance and guides decision-making on whether repairs are necessary based on the associated costs.
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How do you solve a differential equation with exponential equations?
To solve a differential equation with exponential equations, start by isolating the dependent variable and any coefficients that may exist on either side of the equation. Next, take the natural logarithm of both sides of the equation and use the properties of logarithms to simplify the equation. Solve for the dependent variable. Finally, take the exponential of both sides of the equation and simplify it to get the solution.
For example, consider the differential equation dy/dx = 2y.
Isolate the dependent variable to get y = dx/2.
Then, take the natural logarithm of both sides to get ln(y) = ln(dx/2).
Use the property ln(a/b) = ln(a) - ln(b) to get ln(y) = ln(dx) - ln(2).
Solve for ln(y) to get ln(y) = ln(dx) - ln(2).
Then, take the exponential of both sides to get \(y = e^{ln(dx) - ln(2)}\) and simplify to get the solution \(y = (dx/2) e^{ln(dx)}\).
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What is the surface area of the regular pyramid below? A. 700 units2 B. 1512 units2 C. 1124 units2 D. 756 units2
Please provide a photo.
Find the slope. Please someone answer this I need it I’ve been posting it but no one says anything.
Answer:
y=1x
y=0.3x
y=4x
Step-by-step explanation:
How do I get X in the equation x+18=-23
Answer:
x = -41
Step-by-step explanation:
x + 18 = -23
Subtract 18 from both sides
x = -41
Let's check
-41 + 18 = -23
-23 = -23
So, x = -41 is the correct answer.
Answer:
The answer would be -41
Step-by-step explanation:
\(x + 18 = - 23 \\ \: \: \: \: - 18 \: \: \: \: - 18 \\ \: \: \: \: \: \: \: \: x = - 41\)
in a game a player throws a dart at the object shown here. if the player throws two darts, what is the probability they both land in a shaded region
The probability of an event happening is represented as a fraction, with the numerator being the number of favorable outcomes and the denominator being the total number of outcomes.
In this case, if the player throws two darts, the probability that both land in a shaded region is equal to the product of the probabilities of each dart landing in the shaded region.
If the shaded region is a circle with radius r and the darts are randomly thrown onto a larger circle with radius R, then the probability of a dart landing in the shaded region is given by:
P = (Area of shaded region) / (Area of larger circle) = (πr^2) / (πR^2)
So, the probability that both darts land in the shaded region is given by:
P = (πr^2 / πR^2) * (πr^2 / πR^2) = (πr^2 / πR^2)^2
Note that the specific values of r and R would depend on the particular game and the dimensions of the object.
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A taxi driver uses this formula to work out fares, Fare = £2. 50 + £0. 90 x miles
Use the formula to work out:
a. The fare for a 9-mile journey.
give your answer in pounds
ASAP PLEASE
The fare for a 9-mile journey can be calculated using the formula Fare = £2.50 + £0.90 x miles. To find the fare for a 9-mile journey, we just need to substitute 9 for miles in the formula:
Fare = £2.50 + £0.90 x 9
Fare = £2.50 + £8.10
Fare = £10.60
So, the fare for a 9-mile journey would be £10.60.
It's important to understand how the formula works in order to correctly use it. The first part of the formula, £2.50, is a fixed cost that is added to the fare regardless of the distance traveled. This could represent things like the cost of hiring the taxi, the driver's time, and any other fixed expenses that the taxi company incurs.
The second part of the formula, £0.90 x miles, is the variable cost that is added to the fare depending on the distance traveled. This could represent things like the cost of fuel, wear and tear on the vehicle, and any other expenses that the taxi company incurs as a result of traveling a certain distance. By multiplying the distance traveled by the cost per mile, £0.90, the formula calculates the total variable cost for the journey.
When these two costs are added together, the formula gives the total fare for the journey. In this case, for a 9-mile journey, the total fare would be £10.60.
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Use a maclaurin series in this table to obtain the maclaurin series for the given function. F(x) = x cos(5x)
By using a maclaurin series to obtain the maclaurin series for the given function is F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)
To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)
Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)
\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)
We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)
\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)
\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)
This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.
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A book seller a book for Rs 70 at a gain of 40 percent find the profit
Answer:
Rs 20
Step-by-step explanation:
140%=Rs 70
100%
(100%×Rs 70)÷140%=50
Rs 70-Rs 50=Rs 20
PLease help I don't know what I'm doing here
Step-by-step explanation:
y = 28 - 2x
x = 1, y = 28 - 2(1) = 26
x = 3, y = 28 - 2(3) = 22
x = 4, y = 28 - 2(4) = 20
x = 5, y = 28 - 2(5) = 18
Jordan signed up for the Annual Cross Florida bike ride which is a 170 mile bike ride. After weeks of training he rides at an average of 15 miles per hour. What is x in real world context?
Answer: 11.3 hours
Step-by-step explanation:
Before this question is another asking for an equation depicting this with Jordan's progress in miles (y) after a number of hours (x).
That would be y = 15x
x in the real world context would be the number of hours it would take for Jordan to finish the 170 mile bike race.
To solve this make y to be 170 and solve for x.
170 = 15x
x = 170/15
x = 11.3 hours
Find the value of x.
Answer:
57?
Step-by-step explanation:
I'M NPT SURE IF IT'S CORRECT but I added them both and subtracted 180
I need help asap!!!!!!!!!!!!!!!!!!!!
Answer:
13
Step-by-step explanation:
we know both triangles are congruent, so we can make an equation
3x+7=10x-7
take 3x from both sides
7=7x-7
14=7x
x=2
20-7=CAD
m<CAD is 13
The value of the angle CAD in the figure given is 13°.
So, the correct option is 1.
Given is a figure, we need to find the measure of the angle CAD,
To find the required measurement we will show the triangles ABD and ACD are congruent,
So, considering the Δ ABD and Δ ACD,
BD ≅ DC [marked in the figure]
∠B ≅ ∠C [all the right angles are ≅]
DA = DA [common in the both Δs]
Hence, Δ ABD ≅ Δ ACD by SSA rule.
We get, ∠CAD ≅ BAD by CPCTC.
Therefore,
3x + 7 = 10x - 7
Combining the like terms,
10x - 3x = 7 + 7
7x = 14
x = 2
Put x = 2 in ∠CAD = 3x + 7,
∠CAD = 3(2) + 7
∠CAD = 6 + 7
∠CAD = 13°
Hence, ∠CAD = 13°.
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if the point a is translated 5 units up and 10 units to the left, find the location of the resulting point a?
If the point A is translated 5 units up and 10 units to the left, then the location of resulting point A is (-5, 6).
Translating Points:Translating a point involves moving it a given distance horizontally and/or vertically. You can find the address of a translated point as follows:
To translate a point to the right, add the translation to the x-value.To translate a point to the left, subtract the translation from the x-value.To translate a point up, add the translation to the y-value.To translate a point down, subtract the translation from the y-value.We have the information from the question is:
The point a is translated 5 units up and 10 units to the left
and we have to find the location of a.
Now, According to the question:
A graph is translated k units vertically by moving each point on the graph k units vertically.
Th position of point A is (5, 1)
A is translated 5 units up and 10 units to the left.
Left and right side describes the x axis of translation and up , down describe for y axis
(5-10, 1+5)
(-5,6)
Hence, If the point A is translated 5 units up and 10 units to the left, then the location of resulting point A is (-5, 6).
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Please help me, I’m sort of stuck
Answer: 297 fr squared
Step-by-step explanation:
steven has 5 more marbles than jon has, suppose s is the number of marbles that steven has, and j is the number of marbles that jon has. a. write an equation to describe how many marbles steven has. b. write a different equation to describe how many marbles jon has.