To graph the line y=−4/7x+1, we can use the slope-intercept form of a linear equation, y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -4/7 and the y-intercept is 1.
To plot the line, we can select two points on the line and connect them with a straight line. One easy way to do this is to set x=0 and solve for y to find the y-intercept, which is (0,1). Then, we can set y=0 and solve for x to find another point on the line. This gives us (-7/4,0).
Once we have these two points, we can use a straight edge or ruler to draw a line through them to represent the graph of the equation. It should be a downward-sloping line that intercepts the y-axis at (0,1).
Alternatively, we can use a graphing calculator or an online graphing tool to plot the line more accurately. This will allow us to see more clearly the shape and direction of the line, as well as any other important features such as intercepts, slopes, and points of intersection with other lines.
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Brainliest for correct answer!!
Answer:
Step-by-step explanation:
Use the distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\) For us that will look like this:
\(d=\sqrt{(6-(-3))^2+(-2-4)^2}\) which simplifies to
\(d=\sqrt{(9)^2+(-6)^2}\) and a bit more to
\(d=\sqrt{81+36}\) so
\(d=\sqrt{117}\)
Select the correct answer.There are 6 adult chaperones, 21 female students, and 23 male students on a bus for a field trip.What is the probability that a randomly chosen person on the bus is an adult chaperone or a male student? A- 1/2 B- 29/50C- 2/3D- 1/29a whole explanation and answer will get marked brainiest
Let A be the event that we choose an adult chaperone and let B be the event that we pick a male student. Then, we want to calculate the following probability.
\(P(A\cup B)\)where the symbol between A and B means the union of events, which could be understood as "or". Using the properties of probability, we have
\(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)where the symbol on the right, between A and B, is the intersection, which can be understood as "and". Since we are going to pick only one person, it is impossible that we pick an adult chaperona and a male student. So,
\(P(A\cap B)=0\)So we have
\(P(A\cup B)=P(A)+P(B)\)Now, we want to calculate P(A) and P(B).
To calculate the probability of each event, we first count the number of possibilities that the event is true.
Note that since we have 6 adult chaperones, we have 6 possibilites such that the event A is true. Now, to calculate the probability of A, we simply divide this number by the total number of people on the bus (which is 50). So we get
\(P(A)=\frac{6}{50}\)In the same manner, for event B, we have a total of 23 possibilities such that the event B is true. Then
\(P(B)=\frac{23}{50}\)Finally, by replacing this values in the original expression, we have
\(P(A\cup B)=P(A)+(B)=\frac{6}{50}+\frac{23}{50}=\frac{29}{50}\)Determine whether the following statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Because there are 3 feet in one yard, there are also 3 square feet in one square yard. Question content area bottom Part 1 Choose the correct answer below. A. The statement is true. B. The statement is false. Because there are 3 feet in one yard, there are 27 square feet in one square yard. C. The statement is false. Because there are 3 feet in one yard, there are 6 square feet in one square yard. D. The statement is false. Because there are 3 feet in one yard, there are 9 square feet in one square yard.
The correct option regarding the scale factor and the statement in this problem is given as follows:
D. The statement is false. Because there are 3 feet in one yard, there are 9 square feet in one square yard.
How to obtain the correct scale factor?The scale factor between the length dimensions of the yard are given as follows:
3 feet = 1 yard.
(as these length dimensions are given in yards).
Then for the square units, the correct scale factor is found applying the proportion as follows:
(3 feet)² = (1 yard)².
9 feet squared = 1 square yard.
Hence the statement given in this problem, that because there are 3 feet in one yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.
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calculate the partial derivatives ∂∂ and ∂∂ using implicit differentiation of (TU-V)2ln(W-UV)=ln(7) at (T,U,V,W)=(2,3,7,28).
(Use symbolic notation and fractions where needed.)
The partial derivatives of ∂∂ and ∂∂ using implicit differentiation of (TU-V)2ln(W-UV)=ln(7) at (T,U,V,W)= (2,3,7,28) are:
∂f/∂T = -8/9
∂f/∂U = -10/27
∂f/∂V = 1/27
∂f/∂W = -8/81.
Let the given function be f(T,U,V,W) = (TU - V)²ln(W - UV) - ln(7).
Using the chain rule, we obtain the following expressions:
∂f/∂T = [2(TU - V)
ln(W - UV) + (TU - V)² / (W - UV) (-U)] / (TU - V)²
∂f/∂U = [2(TU - V)
ln(W - UV) + (TU - V)² / (W - UV) (-T)] / (TU - V)²
∂f/∂V = [2(TU - V)ln(W - UV) - (TU - V)²] / (TU - V)²
∂f/∂W = [2(TU - V)ln(W - UV) + (TU - V)² / (W - UV) (-U)] / (W - UV)at (T,U,V,W)
= (2,3,7,28),
we have:
∂f/∂T = -8/9
∂f/∂U = -10/27
∂f/∂V = 1/27
∂f/∂W = -8/81
The partial derivatives of ∂∂ and ∂∂ using implicit differentiation of (TU-V)2ln(W-UV)=ln(7) at (T,U,V,W)= (2,3,7,28) are:
∂f/∂T = -8/9
∂f/∂U = -10/27
∂f/∂V = 1/27
∂f/∂W = -8/81.
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The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answer:
above sea level
Step-by-step explanation:
Dacia asks Katarina to tell her what the values of \( y \) are that can make \( \sin \theta \) negative. Which of Katarina's replies is correct? "For \( y \) values greater than or equal to zero." "
Dacia asks Katarina to tell her what the values of y are that can make sin θ negative. The correct answer is: "For y values greater than or equal to zero.
In the first quadrant (0 < θ < π/2), all trigonometric functions are positive.
In the second quadrant (π/2 < θ < π), only the sine is positive.
In the third quadrant (π < θ < 3π/2), only the tangent is positive.
Finally, in the fourth quadrant (3π/2 < θ < 2π), only the cosine is positive.
Therefore, sin θ is negative in the 3rd and 4th quadrants. In other words, for values of θ where sin θ is negative, you should look for θ values that fall in the 3rd and 4th quadrants.
Therefore, when Katarina responds to Dacia, "For y values greater than or equal to zero," it is incorrect as for the negative values of sin, θ must fall in the 3rd and 4th quadrants.
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question in link below
Answer:
105
Step-by-step explanation:
2x17=34
17x2.5=42.5
1.5x17=25.5
1/2x2x2x1.5=3
34+42.5+25.5+3=105
Answer Po Ba Ay 11.33?
Step-by-step explanation:
Calc
Suppose that you are responsible for making arrangements for a business convention and that you have been charged with choosing a city for the convention that has the least expensive hotel rooms. You have narrowed your choices to Atlanta and Houston. The file named Hotel contains samples of prices for rooms in Atlanta and Houston that are consistent with a SmartMoney survey conducted by Smith Travel Research. Because considerable historical data on the prices of rooms in both cities are available, the population standard deviations for the prices can be assumed to be $15 in Atlanta and $20 in Houston. Based on the sample data, can you conclude that the mean price of a hotel room in Atlanta is lower than one in Houston?
Thus, we cannot reject the null hypothesis and cannot conclude that there is a significant difference in the mean prices.
Based on the given information, we can compare the mean price of hotel rooms in Atlanta and Houston using their respective population standard deviations ($15 for Atlanta and $20 for Houston).
To determine if the mean price in Atlanta is lower than in Houston, we would conduct a hypothesis test.
The null hypothesis (H0) is that the mean price in Atlanta is greater than or equal to the mean price in Houston.
The alternative hypothesis (H1) is that the mean price in Atlanta is lower than the mean price in Houston.
To perform the hypothesis test, we would need the sample data from the Hotel file and calculate the sample means for both cities.
Using the sample means and the population standard deviations, we can calculate the test statistic and compare it to a critical value or find the p-value.
If the test statistic falls in the rejection region or the p-value is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the mean price of a hotel room in Atlanta is lower than one in Houston.
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Question 3(Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The shoe sizes of a group of middle school girls are shown.
5.5 6 7 8.5 6.5
6.5 8 7.5 8 5
If a shoe size of 7 is added to the data, how does the IQR change?
The IQR becomes a 2.5.
The IQR becomes a 1.5.
The IQR remains a 3.
The IQR remains a 2.
If a shoe size of 7 is added to the data the IQR remains the same 2. Option D is the correct answer.
What is IQR?The interquartile range (IQR) in descriptive statistics is a measurement of statistical dispersion, or the spread of the data. The IQR is also known as the middle 50%, the fourth spread, or the H-spread. The difference between the data's 75th and 25th percentiles is how it is defined.
By using linear interpolation, the data set is separated into quartiles, or four rank-ordered even sections, to determine the IQR.
The shoe size in increasing order are written as:
5,5.5,6,6.5,6.5,7,7.5,8,8.5
The median of the data is:
Median = 5th value
Median = 6.5
The IQR of the data is given as:
IQR = Q2 - Q1
IQR = (7.5 + 8)/ 2 - (5.5 + 6) / 2
IQR = 2
When 7 is added to the data, the new order is:
5,5.5,6,6.5,6.5,7,7,7.5,8,8.5
The median of the new data is:
Median = 5th + 6th value/ 2
Median = (6.5 + 7)/2 = 6.75
The IQR of the data is given as:
IQR = Q2 - Q1
IQR = (7.5 + 8)/ 2 - (5.5 + 6) / 2
IQR = 2
Hence, if a shoe size of 7 is added to the data the IQR remains the same 2. Option D is the correct answer.
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Ruchi measured the area of her kitchen as 2. 81 times 10 Superscript 4 square units. When she recorded the area, she wrote 2. 81 times 10 Superscript 4 square feet. Which statement about her labeling of the units is true? She is correct because dimensions of rooms must always be measured in feet and area would be square feet. She is correct because 2. 81 times 10 Superscript 4 ftSquared is equivalent to 2, 810 ftSquared, which is an average size for a kitchen since area is always so much more than length. She is incorrect because 2. 81 times 10 Superscript 4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches. She is incorrect because 2. 81 is a small number. She probably measured in yards to arrive at such a small value.
Ruchi is incorrect because 2.81×10⁴ is around 30,000. so the units must be smaller than feet.
What is Units conversion?Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
As it is given that the measurement that Ruchi wrote is 2.81×10⁴ ft². And, the area of 2.81×10⁴ ft² is 28,100 ft² which is nearly 30,000 ft², while the size of an average house is 2,300 ft². Therefore, the area that is written by Ruchi is too big compared to an average kitchen.
Hence, Ruchi is incorrect because 2.81×10⁴ is around 30,000 so the units must be smaller than feet.
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The temperature change from night to day this past week was a 21 degree
change in 7 hours time. How many degrees did it change in one hour?
Answer:
#3
Step-by-step explanation:
Answer:
3 degrees
Step-by-step explanation:
Ron bought a keychain for $7 and 3 t-shirts. He spent a total of $37. How much does each t-shirt cost?
show work
Answer:
$10
Step-by-step explanation:
Subtract the price of the keychain, $7, from the total to find the price of the 3 t-shirts:
$37 - $7 = $30
The 3 t-shirts cost a total of $30.
We assume all t-shirts have the same price.
price of 1 t-shirt = $30/3 = $10
Answer: $10
A gym charges a one-time fee of $75 to join, plus membership dues of $25 per month. Which equation represents the total cost, C, of belonging to the gym for m months? A. C = 25m – 75 B. C = 25m + 75 C. C = 75m + 25 D. C = 75m – 25
Answer:
C = 75 + 25m
Step-by-step explanation:
The one time fee is 75 and membership dues are 25 per month.
This corresponds to C = 75 + 25m because the one time fee is 75 and each month you pay 25.
{(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}
Dom:
Range:
Function?
Answer:
The domain of R is {-3,-2,1,-3,0}
The range of R is: {2,1,3}
The relation R is not a function
Step-by-step explanation:
Relations and Functions
We are given the ordered pairs of a relation, let's call it R:
R={(-3, 2), (-2, 2), (1, 2), (-3, 1), (0, 3)}
The domain of R is the set of values that relate to 1 or more elements from the range.
The domain of R is {-3,-2,1,-3,0}
The range of R is: {2,1,3}
Note the value 2 is repeated in the second set, but it's reported only once as part of the Range.
A relation is a function if each element of the domain appears in only one ordered pair, or relates to a single element in the Range.
The relation R is not a function, because the ordered pairs (-3, 2) and (-3, 1)
map the element -3 twice.
Alec's car payment is $316 each month.
How much do his car payments
year?
Answer:
$3,792
Step-by-step explanation:
$316 x 12
Figure A was translated 5 units left to create Figure B.
Figure B was reflected over the line y=1 to create Figure
C. Figure C was rotated 90 degrees clockwise around
the origin to create Figure D. Are Figure A and Figure D
congruent?
А A
Prove your answer using any tools and explain
reasoning in the box below:
10
Answer:
a
Step-by-step explanation:
Think about all the ways in which a circle and a parabola can intersect.
Select all of the number of ways in which a circle and parabola can intersect.
0
1
2
3
4
5
Answer:
3
Step-by-step explanation:
Answer:
0,1,2,3,4
Step-by-step explanation:
trustttttt meee
a clock has an hour, minute, and second hand, all of length $1$. let $t$ be the triangle formed by the ends of these hands. a time of day is chosen uniformly at random. what is the expected value of the area of $t$?
The expected value of the area of t is 1/12.
The length of the hands of the clock is 1. If a time of day is chosen uniformly at random, what is the expected value of the area of t?
The area of the triangle is given by the formula
A=1/2 ab sinC.
Here, we use Law of cosines to determine the angle C, which is enclosed by the hour and minute hands.
\((\cos C)_{h,m}=\frac{h^2+m^2-1}{2hm}\)
So, we can write the expected value of the area of t as
\(\begin{aligned}E[A]&=\int_{0}^{2\pi}\frac{1}{2}(1)(1)sinC\left(\frac{1}{12}+\frac{1}{720}((Cos C)_{h,m})^2\right)dC \\ &=\frac{1}{24\pi}\int_{0}^{2\pi}(sinC+sin(11C))dC \\ &=\frac{1}{12}\end{aligned}\)
Hence, the expected value of the area of t is 1/12.
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Write an algebraic expression for 4 more than 3 times a number
Answer:
3x+4
Step-by-step explanation:
The algebraic expression will be : 3x + 4
What is an algebraic expression ?
An expression built up from integer constants , variables and algebraic operations .
Let the number be : x
now , in the algebraic expression for 4 more then 3 times a number
First we need to make the number 3 time = 3x
then in that expression we need to add 4 , we get = 3x+ 4
The algebraic expression will be : 3x + 4
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Simplify the expression in simplest form (3x - 5)x4 +2
Answer:
12x-8
Step-by-step explanation:
We can use PEMDAS to solve this expression.
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
The first step to do is use the distribute property to simplify the parenthesis.
The second step will be to simplify the exponent, but there aren't any so we can skip that step.
The third is to multiply but we can skip that and division while we are at it because there isn't any we can do to simplify.
The fourth step will be to add -20 with 2. We then get -18.
And finally, we have our answer
(3x - 5)x4 +2
12x-20+2
12x-18
Based on what you learned about the economics of organic produce, explain why buying organic produce is so expensive and how that relates to direct variation.
Organic produce tends to be more expensive than conventionally grown produce for several reasons below.
Why buying organic produce is so expensive?Organic produce tends to be more expensive than conventionally grown produce for several reasons, including the following:
Higher production costs: Organic farming methods often require more labor-intensive and time-consuming techniques, such as hand-weeding and crop rotation, which can increase production costs.Lower yields: Organic farming methods typically produce lower yields per acre than conventional farming methods, which can also contribute to higher prices.Certification requirements: Organic farming requires certification from government-approved organizations, which can also increase costs for growers.Limited availability: Organic produce may be less widely available than conventionally grown produce, which can increase prices due to the higher demand.To know more about organic produce, visit:
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For the reasons outlined in the list below, organic produce is typically more expensive than produce farmed conventionally.
Why buying organic produce is so expensive?For a variety of reasons, including the following, organic produce is typically more expensive than produce cultivated conventionally:
Increased production costs: Organic farming practises frequently call for labour- and time-intensive procedures like manual weeding and crop rotation, which can raise production costs.Lower yields: Compared to traditional farming methods, organic farming techniques often provide lower yields per acre, which can also push up pricing.Requirements for certification: Organic farming calls for certification from agencies recognised by the government, which might raise growers' costs.Limited availability: Compared to conventionally cultivated produce, organic produce may not be as widely available, which could lead to higher pricing as a result of increased demand.TO know more about Organic, visit:
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Suppose a firm can sell it's output at p per unit and that its production function is given by y = AK∝Lβ, where K > 0 is capital input measured in machine-hours, L > 0 is labor input measured in worker-hours and A,∝, ß > 0 are parameters. The firm is perfectly competitive and the factor prices are r per hour and w per hour. (a) Show by partial differentiation that the production function has the property of increasing marginal productivity of capital (if ∝ > 1) and of labor (if ß > 1). Explain the economic significance of this. Does it explain why we normally assume that a and 3 are less than 1?
Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.
The production function has the property of increasing the marginal productivity of capital through Partial Differentiation.To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:
\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)
Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.
Additionally, for labor (L), the fractional subordinate of the generation work is:
\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)
Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity
The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment. This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.
In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.
In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.
In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.
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Please Help!!!! 50 pts
Answer:
This may not help but, If you have any notes try using notes to solve this.
Or you can maybe ask your teacher to go over it when you both have free time or maybe have your teacher do a practice problem before or after class! That is what I would do but I hope it helps you! Good luck!
Answer:
A.
Step-by-step explanation:
Which expressions represent the volume of metal needed, in cubic millimeters, to make the pipe? Select two options. 21π(10)2 – 21π(6)2 π(20)2(21) – π(6)2 2,100π – 756π 7,644π 1,344.
The expressions that represent the volume of metal needed to make the pipe are π(20)²(21) - π(6)² and 7,644π.
Which expressions correctly represent the volume of metal needed, in cubic millimeters, to make the pipe?The valid expressions that represent the volume of metal needed, in cubic millimeters, to make the pipe are:
1) π(20)²(21) - π(6)²
2) 7,644π
The expression π(20)²(21) - π(6)² represents the difference between the volume of the outer cylinder (with a radius of 20 mm and height of 21 mm) and the volume of the inner cylinder (with a radius of 6 mm). This calculates the volume of the metal needed to make the pipe. The expression 7,644π is a numerical calculation of the volume if the value of π is substituted with its approximation of 3.14159. This represents the direct volume of metal needed without further calculations.Learn more about expressions that represent
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1000000000+1000000000
marking as brainliest + 80 pts <3 do it all please and if you have any questions you can ask here or add my dxisxcord, insxtax or snxapcxhxat so i can send the image up close if you can't see, js ask for it :P
Answer: BRAINLIEST?
PART 1
In january she recives the discount but not in Febuary
25*12= 300 For Jan
59.99*10= 599.90 For Feb
Total: 899.90 dollars
PART 2
x stands for amount of months
59.99x=359.94
Divide both sides by 59.99
x= 6
Step-by-step explanation:
Answer:
hi i know she alreaady andwerd but hi
Step-by-step explanation:
What can you conclude about the paths of the skaters? There is no chance that the skaters will hit each other. The skaters' paths cross each other at two different points on the rink. The skaters are traveling on the same path, but possibly in different directions.
Answer:
C: The skaters are traveling on the same path, but possibly in different directions.
Step-by-step explanation:
edge 2021-2022
Answer:
The skaters are traveling on the same path, but possibly in different directions.
Step-by-step explanation:
Given startlayout enlarged left-brace first-row startfraction x cubed minus 1 over x squared minus 1 endfraction, for x less-than 1 second row startfraction 3 over x minus 1 endfraction, for x greater-than-or-equal-to 1 endlayout. what is limit of f (x) as x approaches 1 minus? negative three-halves 0 three-halves dne
The limit of f(x) as it approaches -1 is given as 3/2
What is limit in mathematics?In mathematics and computation, the limit can be described to be the value that a sequence is going to approach in such a way that the input would approach or tend towards a given value
The unit is used to assign values to numbers at certain points where there are no defined values.
How to solve the limitwe have 3/x-1
We have to take the value of x here to be three as the equation tends to 1.
Then we apply it in the formula
3/3-1
= 3/2
Hence the limit of f(x) is given as 3/2
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Part A
What is the probability that a randomly chosen flight arrives on time?
The probability that a randomly chosen flight arrives on time
= number of flights that arrived on time / total number of flights
Adam went to McDonald's and bought a Big Mac and 2 small fries. Adam spent
$10.93. The Big Mac cost 5.99. How much did the two small fries cóst each? Write
an equation to match the problem. Use f as the variable. *
Answer:
the answer is 4.94 because you subtract 10.93-5.99