Answer:
12.6
Step-by-step explanation:
1/5 = .2
3/10 = .3
4.2 x .3 = 12.6
HELPPPPPPPP 100 POINTS : Pete wants to buy a new phone that costs $750 and is on sale for 15% off. He has $200 saved and makes $15 per hour at a pizzeria. How many hours does he need to work to have at least enough to purchase the phone?
*
36 hours
30 hours
37 hours
29 hours
=================================================
Explanation:
If he gets 15% off, then he pays the remaining 85%. Notice how 15+85 = 100. Or you could say 100-15 = 85.
The phone will cost 0.85*750 = 637.50 dollars after the discount. This is before taxes and/or other possible fees.
He has $200 saved and makes $15 an hour. If x is the number of hours he works, then his bank balance is 15x+200 dollars.
Set this equal to the 637.50 value found earlier and solve for x.
15x+200 = 637.5
15x = 637.5-200
15x = 437.5
x = 437.5/15
x = 29.16667 approximately
If Pete works for 29 hours, then,
15x+200 = 15*29+200 = 635
He's coming up a bit short.
But if he works for 30 hours, then,
15x+200 = 15*30+200 = 650
and now he is over the threshold of $637.50
Therefore, he needs to work 30 hours.
What is the slope of a lone represented by the equation2y-x=-4
Answer:
slope = \(\frac{1}{2}\)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y= intercept )
Given
2y - x = 4 ( add x to both sides )
2y = x + 4 ( divide all terms by 2 )
y = \(\frac{1}{2}\) x + 2 ← in slope- intercept form
with slope m = \(\frac{1}{2}\)
If the function g is horizontally compressed by a factor of and reflected across the x-axis to obtain function f, which of the following graphs matches the above transformation
The graph that matches the above transformation is the graph that is horizontally compressed and flipped upside down.
If the function g is horizontally compressed by a factor of and reflected across the x-axis to obtain function f, the graph of f will be a horizontally compressed and reflected version of the graph of g.
To horizontally compress a function, the x-values are multiplied by a factor. If the factor is greater than 1, the compression is towards the y-axis. If the factor is between 0 and 1, the compression is away from the y-axis.
To reflect a function across the x-axis, the y-values are multiplied by -1. This flips the function upside down.
Based on these transformations, the graph of f will have a horizontally compressed shape compared to g and will be reflected across the x-axis.
Therefore, the graph that matches the above transformation is the graph that is horizontally compressed and flipped upside down.
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Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Given the least-squares regression line, , what is the predicted fuel efficiency for a speed of 30 mph?
17. 67 mpg
26. 50 mpg
30. 00 mpg
37. 74 mpg
The predicted fuel efficiency for a speed of 30 mph will be 26.50 mpg when the least-squares regression line is given.
What is the least-squares regression line?If the data demonstrates a stronger link between two variables, the line that best matches this linear relationship is known as a least-squares regression line, and it minimizes the vertical distance between the data points and the regression line. A regression line is a straight line that illustrates how a response variable y varies when an explanatory variable x changes. The line is a mathematical model that predicts the value of y given a value of x. A regression line predicts the value of y for a given value of x. A regression line is discovered through regression analysis. When the explanatory variable changes, the regression line shows how much and in which direction the response variable changes.
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839 / 41
hurry I need it now
Answer:
20.4634146
Step-by-step explanation:
Rounded it be 20.46 or 20.5
Answer:
20.46
Step-by-step explanation:
just divide :)
have a nice day
Given two fracture sets intersecting each other at 90 ∘
and having the following properties: Set a: aperture =1 mm, spacing =12 m Set b: aperture =.1 mm, spacing =6 m. Calculate the maximum and minimum equivalent (effective) K values. Assume K of the rock matrix is zero. Graduate Student Question: What do you expect the 'true' velocity field to look like in this system if the matrix has low effective K? How would that affect ultimate dispersion in the system?
In a system with low effective K in the rock matrix, the 'true' velocity field is expected to exhibit preferential flow along the fractures, leading to increased channeling effects. This would result in reduced dispersion in the system.
When the rock matrix has low effective K, it implies that the matrix itself has limited permeability, making it less conducive for fluid flow. In such a scenario, the fractures become the primary conduits for fluid movement within the system.
Due to the intersecting nature of the fracture sets at a right angle, the fractures create a network of pathways that allow fluid to flow preferentially along them. This leads to the formation of preferential flow channels within the system, where most of the fluid movement occurs. These channels have higher conductivity compared to the surrounding matrix, allowing fluid to bypass large portions of the rock mass.
As a consequence, the 'true' velocity field in this system would primarily exhibit faster flow velocities along the fractures, while the velocities within the matrix would be significantly lower. This flow pattern creates a high contrast in velocities between the fractures and the matrix.
The reduced dispersion in the system occurs because the preferential flow channels restrict the interaction between the fluid and the matrix. As the fluid predominantly flows through the fractures, it spends less time in contact with the matrix, limiting opportunities for dispersion and mixing. As a result, solute plumes or contaminants transported by the fluid are less likely to spread out and disperse widely into the surrounding rock matrix.
In summary, in a system with low effective K in the rock matrix, the 'true' velocity field would display preferential flow along the fractures, leading to reduced dispersion in the system. This understanding is crucial for predicting and managing fluid flow and contaminant transport in fractured rock formations.
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please helppp
What is the derivative of 2x^2(cotx)?
the derivitvte of 2x^2(cotx) is −4cot2xcsc^2(2x)
express the limit limn→[infinity]∑i=1n(4(x∗i)2−2(x∗i))δx over [−1,1] as an integral.
The answer is 16/3, which is obtained by evaluating the integral of (8x² - 4x) over the interval [-1,1].
How to express limit as integral?To express the limit of limn→[infinity]∑i=1n(4(x∗i)2−2(x∗i))δx over [−1,1] as an integral, we can use the definition of a Riemann sum.
First, we note that delta x, or the width of each subinterval, is given by (b-a)/n, where a=-1 and b=1. Therefore, delta x = 2/n.
Next, we can express each term in the sum as a function evaluated at a point within the ith subinterval. Specifically, let xi be the right endpoint of the ith subinterval. Then, we have:
4(xi)² - 2(xi) = 2(2(xi)² - xi)
We can rewrite this expression in terms of the midpoint of the ith subinterval, mi, using the formula:
mi = (xi + xi-1)/2
Thus, we have:
2(2(xi)² - xi) = 2(2(mi + delta x/2)² - (mi + delta x/2))
Simplifying this expression gives:
8(mi)² - 4(mi)delta x
Now, we can express the original limit as the integral of this function over the interval [-1,1]:
limn→[infinity]∑i=1n(4(x∗i)2−2(x∗i))δx = ∫[-1,1] (8x² - 4x) dx
Evaluating this integral gives:
[8x³/3 - 2x²] from -1 to 1
= 16/3
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Which of the following is the image of C after a rotation of 180° about the origin?
The image of C after it is rotated 180° about the origin will be: A. (-5, 2).
What is Rotation?Rotation is a form of transformation in which a point in a figure is rotated in a certain number of degrees around a point.The preimage is the original figure while the image is the new figure formed.The new figure after rotation is congruent to the original figure.Therefore, the image of C after it is rotated 180° about the origin will be: A. (-5, 2).
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A triangle has two sides of length 19 and 8. What is the smallest possible
whole-number length for the third side
Answer:
12
Step-by-step explanation:
in a triangle the sum of 2 sides must always be larger than the 3rd side.
our in other words, every side must be shorter than the sum of the other 2 sides.
or third side = x
19 < x + 8
therefore, 11 < x, x must be at least 12.
8 < x + 19 (that is true in any case)
x < 19 + 8 = 27
therefore, x cannot be longer than 26.
(6x - 4) - ( 2x + 8) is equivalent to
What is the answer to this ?
Answer:
4x - 13
Step-by-step explanation:
( 6x - 4 ) - ( 2x + 8 )
The "-" sign outside of the parenthesis is equivalent to "-", hence one can distribute the "-" sign
( 6x - 4 ) - ( 2x + 8 )
6x - 4 - 2x - 8
Combine like terms
6x - 5 - 2x - 8
4x - 13
please help me ASAPP
Which is equivalent equation solved for h?
Answer:
The answer is option A.
p = 0.7(rh + b)
Making h the subject
divide both sides by 0.7
we get
p/0.7 = rh + b
send b to the left side of the equation
p / 0.7 - b = rh
divide both sides by r
we get
( p / 0.7 - b) ÷ r = h
therefore h = ( p / 0.7 - b ) ÷ r
Hope this helps
What is the domain of this relation?
Answer:
The answer is {-8, -2, 3, 4, 8}
Domain is basically the x,
while range OR image is the y,
while codomain is y values that do not have ties to any x value
I'm taking a test and it's really important that I pass it because I'm already failing the class. Please help me I have no idea how to do it. The test has a time limit, everything has to be submitted by 12:25 at the latest. Please show the work if you can.
Simplify the expressions
1. (1+2i)(5-5i)
2. (1+2i)-(-2-2i)
3. (1+2i)+(2-i)
4. (6i)(-5i)
Answer:
1. 15+5i
2. 3+4i
3. 3+i
4. 30
Step-by-step explanation:
2b^2 +32b + 128
Pls answer this
Answer:
\( {2b}^{2} + 32b + 128\)
Factor and get
\(x = - 8\)
A plane is flying at an altitude of 6 km directly over the line AB. It spots two boats, A and B, on the sea.
If the angles of depression of A and B from the plane are 60° and 30° respectively, calculate the
horizontal distance between A and B.
B
6 km
6km
Step-by-step explanation:
altitude here is represent by height ok in this case...
if u look at the diagram that i draw ok from the question we shoul know that we need to use tan... tan is opposite over adjacent...
and the information from the question just sun it into the tan formula...this is trigo...
then u add the value to get the total distance..
the answer is 13.87km
hope u understand...
state how many peaks you would expect for the distribution described.numbers of people with birthdays in a particular month ( January through December)A: none, B three, C One, D two
The peaks you would expect for the distribution described is A) None.
We would not expect any peaks in the distribution of numbers of people with birthdays in a particular month. This is because birthdays are evenly distributed throughout the year, and there is no reason to expect more people to be born in one month than another. Therefore, the distribution should be relatively flat, with no peaks or valleys.
To visualize this, imagine a histogram with the months on the x-axis and the number of people with birthdays in that month on the y-axis. Each bar should be roughly the same height, indicating that there are no peaks in the distribution.
In conclusion, we would expect no peaks in the distribution of numbers of people with birthdays in a particular month.
Hence Option A is correct.
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a random sample of 150 people was taken. 98 of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 57%. [r] refer to exhibit 9-6a. at the 0.1 level of significance, what conclusion do you draw? group of answer choices
At the 0.1 level of significance, the conclusion we come up with is to reject the null hypothesis.
we are given that a random sample of 150 people was taken. 98 of the people in the sample favored the candidate, were it to determine whether or not the proportion of the population in favor of candidate a is significantly more than 57%.So we need to find the test statistic, which is 1.98 determined from the z score, here the rejection region is the number more than 1.28, and 1.98 is greater than 1.28, so it is better to simply reject the null hypothesis.
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The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 2 comma negative 2, at 0 comma 2, at 1 comma 3, and at 5 comma 1 Is the relation a function? Explain. Yes, because for each input there is exactly one output. Yes, because for each output there is exactly one input. No, because for each input there is not exactly one output. No, because for each output there is not exactly one input.
the answer is: No, because for each input there is not exactly one output.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
To determine if the relation is a function, we need to check if for each input (x-value) there is exactly one output (y-value). We can do this by checking if any two points on the graph have the same x-value but different y-values.
Looking at the points given:
(-5, 1)
(-2, 0)
(-2, -2)
(0, 2)
(1, 3)
(5, 1)
We can see that (-2, 0) and (-2, -2) have the same x-value of -2, but different y-values. Therefore, the relation is not a function.
So the answer is: No, because for each input there is not exactly one output.
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Will give u brainliest!
Answer:6 is the correct answer
Step-by-step explanation:
Because 16 + 20 equals 36 and the sq root of 36 is 6. So you chose the correct answer.
Answer:
6
Step-by-step explanation:
\(\sqrt{16+20}\)
\(\sqrt{36}\)
6
Find the sum of the measures of the interior angles of a convex dodecagon
The sum of the measures of the interior angles of a convex dodecagon is 1800 degrees.
We have,
A convex dodecagon has 12 sides.
To find the sum of the measures of its interior angles, we can use the formula:
Sum of interior angles = (n - 2) x 180 degrees
where n is the number of sides.
For a convex dodecagon (n = 12), the sum of the interior angles is:
Sum = (12 - 2) x 180 = 10 x 180 = 1800 degrees
Therefore,
The sum of the measures of the interior angles of a convex dodecagon is 1800 degrees.
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p(z) =3z - 7 when z= 3+h
Evaluate the function.
I give Brainliest!
Answer:
=3h+2
Step-by-step explanation:
p(z) =3z - 7 whenz= 3+h
p(z) =3(3+h) - 7
=9+3h-7
=3h+2
37/100
How do you write as a percentage?
Answer:
37%
Step-by-step explanation:
Any number out of 100 is just that number percentage. So 37/100 is 37%, just as 90/100 is 90%.
It gets more tricky if it was, for example, 37/50, where you would have to double both numbers.
Hope this helped! :)
If you could help I would really appreciate it, but if not that’s fine. Thank you.
dr. anderson and her team observed the number of times kindergartners interrupt their teacher during a 1-hr lesson. to manage the observational period, the team made observations for 1-min, then took 1-min off, and repeated this cycle. what methods did the team use to quantify observations and manage the observation period?
Dr. Anderson and her team used a systematic method of observation to quantify the number of interruptions made by kindergartners during a 1-hour lesson. To manage the observation period, the team used a cyclical approach of observing for 1 minute, taking a 1-minute break, and then repeating the cycle.
This allowed the team to stay focused during the observation period and prevent fatigue or observer bias. The team likely used a tally sheet or another method of recording data to keep track of the number of interruptions during each 1-minute observation cycle. This helped them to accurately quantify the data and draw conclusions based on their observations.
Dr. Anderson and her team used a systematic observation method to quantify the number of times kindergartners interrupt their teacher during a 1-hour lesson. They employed a cyclical approach where they observed for 1 minute, took 1 minute off, and then repeated this cycle throughout the entire lesson. This method allowed the team to effectively manage the observational period and gather data on the kindergartners' behavior.
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when P is not on the line l, the image and pre image are
a. parallel
b.not parallel
When P is not on the line l, the image and pre-image are: a. parallel.
What is dilation?In Geometry, a dilation is a type of transformation which typically transforms the dimensions or side lengths of a geometric object, without affecting its shape.
Generally speaking, a dilation is not a rigid transformation because it can preserve angle measure, orientation, perpendicular lines, betweenness of points, parallel lines, and collinearity in any geometric figure.
In conclusion, we can reasonably infer and logically deduce that the the image and pre-image are still parallel lines when P is not on the line l.
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G(Q) = 5 + 3Q + 202 - Q2 C2(Q) = 3 + 4Q + 2 1. Find the MC function for both C1(Q) AND C2(Q). 2. Find AVC function for both Ci(Q) AND C2(Q). 3. Find AFC function for both C1(Q) AND C2(Q). 4. Find AC function for both Ci(Q) AND C2(Q). 5. Find ATC function for both Ci(Q) AND C2(Q).
For C1(Q) = 3 - 2Q.
For C2(Q) = 4.
2. The AVC function
For C1(Q) = 5/Q + 3 + 20/Q - Q.
For C2(Q) = 3/Q + 4 + 2/Q.
3. The AFC function
For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)
For C2(Q) = 0.
4. To find the AC function
For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5.To find the ATC function
For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)
For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
Find the ATC functions for C1(Q) and C2(Q) given the provided cost functions?
1. To find the MC function, we take the derivative of the cost functions with respect to Q.
For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.
For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.
2. To find the AVC function, we divide the cost functions by Q.
For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.
For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.
3. To find the AFC function, we subtract the AVC function from the ATC function.
For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)
= 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.
4. To find the AC function, we add the AVC function to the AFC function.
For
C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5. To find the ATC function, we divide the AC function by Q.
For
C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q
= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).
For
C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q
= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
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What is the image of (0,8) after a dilation by a scale factor of 1/2 centered at the origin?
Answer:(0,4)
Step-by-step explanation:
Help please
Thanks <3
Answer:
answer in the screen shot provided