Answer:
Step-by-step explanation:
To compare the two options, we need to determine how much the salesperson would earn under each option. Under Option A, the salesperson would earn [tex]40 hours * $27/hour = $ < < 40*27=1080 > > 1080.[/tex]
Under Option B, the salesperson would earn a commission of 10% on her weekly sales. Let S be the amount of sales needed for the two options to be equal. We can set up the following equation:
[tex]0.1S = $1080[/tex]
Solving for S, we get:
[tex]S = $1080 / 0.1= $ < < 1080/0.1=10800 > > 10,800[/tex]
Therefore, the salesperson would need to sell $10,800 worth of products in order to earn the same amount under Option B as she would under Option A.
Question 29 The Valley of Ashes symbolizes the emotional turmoil and feelings of the characters the working class who enable the lifestyles of the wealthy the negative economic impact of prohibition laws Gatsby's fears
The Valley of Ashes symbolizes the emotional turmoil and feelings of the characters the working class who enable the lifestyles of the wealthy the negative economic impact of prohibition laws Gatsby's fears organized crime
What is the Valley of Ashes?On the north shore of Long Island, the valley of ashes was a two to three thousand acre marshland that encircled the Flushing River mouth. This small river primarily serves as an inlet into Flushing Bay, which is an arm of the East River, with tidal water flowing through it rather than fresh water.
It is a metaphor for the moral and societal decay brought on by the unrestrained pursuit of wealth, as the wealthy indulge in only their own pleasure. The emotional turmoil and feelings of the characters from the working class that support the lifestyles of the wealthy are symbolized by The Valley of Ashes. the damaging effects of prohibition laws on the economy Gatsby worries about organized crime.
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Find f(-1) f(x)=1/3(3)^x
algebra 1
Answer:
1/9
Step-by-step explanation:
f(-1)=1/3(3)^-1
f(-1)=1/3(1/3)
f(-1)=1/9
Given the matrix [2 5 5 13], (a) does the Inverse of the matrix exist? Your answer is (Input Yes or No): (b) If your answer is yes, write it as [a_11 a_12 a_21 a_22], find a_11 = a_12 = a_21 = a_22 =
Yes, the inverse of the matrix exist and a11 = 13 , a12 = -5 , a21 = -5 and a22 = 2
The inverse of matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity.
The matrix whose determinant is non-zero and for which the inverse matrix can be calculated is called an invertible matrix.
According to the question,
The matrix given is [tex]\left[\begin{array}{cc}2&5\\5&13\end{array}\right][/tex]
Let Matrix be A
To check if its inverse exist , We have to find out the determinant
|A| = 13(2) - 5(5)
=> 26 - 25
=> 1
Determinant is non zero
Hence , Inverse exist
(b) To find the inverse , we have to find the adjoint of A
adj A = [tex]\left[\begin{array}{cc}13&-5\\-5&2\end{array}\right][/tex]
Inverse is ratio of adj A and determinant A
A⁻¹ = adj A / |A|
=> [tex]\left[\begin{array}{cc}13&-5\\-5&2\end{array}\right][/tex] / 1
=> A⁻¹ = [tex]\left[\begin{array}{cc}13&-5\\-5&2\end{array}\right][/tex]
a11 = 13 , a12 = -5 , a21 = -5 and a22 = 2
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organizations interested in making sure that accused persons have a trial of their peers often compare the distribution of jurors by age, education, and other socioeconomic variables. one such study in a large southern county provided the following information on the ages of 1,000 jurors and the age distribution countywide. Soc. Age 21-40 41-50 51-60 Over 60 Total 399 212 Number of jurors Age % countywide 231 158 1,000 42.1 22.9 15.7 19.3 100 a. Display the above data using appropriate graphs. b. Is this significant evidence of a difference between the age distribution of jurors and the countywide age distribution? c. Does there appear to be an age bias in the selection of jurors?
Yes, it is significant evidence of a difference between the age distribution of jurors and the countrywide age distribution.
No, there is no age bias in the selection of jurors.
P Oi Ei ( Oi-Ei) ^2/Ei
0.421 399 421 1.149643705
0.229 231 229 0.017467249
0.157 158 157 0.006369427
0.193 193 193 1.870466321
1 1000 1000 3.043946702
The above can be represented in graphs.
Now,
Ei = n × pi
TS = 3.04394672
From TS < value
Value (7.81472)
We fail to reject the null hypothesis at 5% value of significance
No, there is no age bias in the selection of jurors.
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Determine which of the following sets is a subspace of Pn for an appropriate value of n.A: All polynomials of the form p(t) = a + bt2, where a and b are inB: All polynomials of degree exactly 4, with real coefficientsC: All polynomials of degree at most 4, with positive coefficients
All polynomials of the form p(t) = a + bt2, where a and b are in sets is a subspace of Pn for an appropriate
Step-by-step explanation:Consider the following subsets of Pn given by
The 0 vector of V is in W.
- Given v,w in W then v+w is in W.
- Given v in W and a a real number, then av is in W.
So, for us to check if the three subsets are a subset of Pn, we must check the three criteria.
First property:
Hence the first criteria is not met. Then, W2 is not a subspace of Pn.
For W1 and W3, note that if a= 0, then we have p(t) =0, so the zero polynomial is in W1 and W3.
W1 and W3 are subspaces of Pn for n= 2
and W2 is not a subspace of Pn.
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a recipe asks for 223cups of raisins. how many cups of raisins are needed to make 12of a recipe? multiply. express the answer in simplest form. enter the answer in the box.
The anwer of number of cups of raisins required for 12 recipes needing 223 cups of raisins each are 2676.
Multiplication operation will be required to find the number of cups of raisins. The expression to be formed for calculation is-
Total number of cups = number of recipes × number of cups for one recipe
Keep the values in formula to find the total number of cups
Total number of cups = 12 × 223
Performing multiplication on Right Hand Side of the equation
Total number of cups = 2676
Thus, 2676 cups are required for recipe.
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The box below is opened by pressing any two buttons
whose numbers multiply together to give 12√6.
Select all of the numbers on buttons that can be used
as part of a pair to open the box.
3√2
4√3
3
√6
4√6
4√2
3√4
4
12√2
The multiplication that will give a value of 12✓6 from the numbers will be:
3✓2 × 4✓3
3 × 4✓6
How to illustrate the expression?It should be noted that addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
In this case, it should be noted that:
3✓2 × 4✓3 = 12✓6
3 × 4✓6 = 12✓6
It should be noted both scenarios highlight the given value of 12✓6.
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Please help!!!!!!!!!!
Answer: [tex]6^{\frac{1}{12} }[/tex]
Step-by-step explanation:
A tank is full of water. The tank is a right circular cylinder lying on its side (length is parallel to horizon), with radius 2 m, and length 5 m. Find the work required to pump the water out of a spout that rises 2 m above the tank. Set up the integral, but do NOT evaluate. The base of a solid is a circular disk with radius
The integral for the work required to pump the water out of a spout that rises 2 m above the tank is
w = ∫ lower power (-r) to upper power (r + h) 2pgl (h + r - x) [tex]\sqrt{r^{2} + x^{2} }[/tex] dx
Integral
An integral in mathematics is either a numerical value equal to the area under the graph of a function for some interval or a new function, the derivative of which is the original function (indefinite integral).
Given that:
r = 2m
l = 5m
sinθ = [tex]\frac{x}{r}[/tex]
dv = 2l [tex]\sqrt{r^{2} + x^{2} }[/tex] dx
Let p be the density of water and g be the acceleration due to gravity.
dm = p dv
dw = dmg (h + r - x)
dw = pg (h + r - x) dx
dw = 2l pg (h + r - x) [tex]\sqrt{r^{2} + x^{2} }[/tex] dx
w = ∫dw
w = ∫ lower power (-r) to upper power (r + h) 2pgl (h + r - x) [tex]\sqrt{r^{2} + x^{2} }[/tex] dx
Therefore, the integral for the work required to pump the water out of a spout that rises 2 m above the tank is
w = ∫ lower power (-r) to upper power (r + h) 2pgl (h + r - x) [tex]\sqrt{r^{2} + x^{2} }[/tex] dx
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The graph shows the elevation of a hiker compared to ground level.
What is the y-intercept?
Answer:
-15
Step-by-step explanation:
The University is conducting a similar analysis on how much of the 80-minute TR class sessions are used for instruction. There is evidence from a previous study that the population standard deviation for duration time is
2.1
minutes. A random selection of 83 class sessions this semester yields an average duration time of 78 minutes. (a) Calculate a
90%
confidence interval the parameter of interest. (No interpretation needed in your final answer; just the numeric interval.) (a) [5 pts] (b) What is the minimum sample size required to estimate the mean duration time of TR classes to within
0.5
of a minute with
99%
confidence? (b) [5 pts] (c) Suppose that the sample standard deviation for duration times in this study is
2.6
minutes. Calculate a
95%
confidence interval for
σ 2
, the population variance.
The minimum sample size required to estimate the mean duration time of TR classes is t distribution confidence interval.
The confidence interval is 75.0694 and 76.9306.
Given that
(a) This is t-distribution confidence interval because sample standard deviation is given and also sample size is less than 30.
(b)
CI for 95%
n 28
mean 76
value of 95% CI and df = 27 (using table) 2.0518
std. dev. 2.4
SE = standard deviation/n² 0.45356
ME = t*SE 0.93062
Lower Limit = Mean - ME 75.06938
Upper Limit = Mean + ME 76.93062
95% CI (75.0694 , 76.9306 )
95% CI=75.0694 , 76.9306
(c)The 95% confidence interval estimate of the population mean is within 75.0694 and 76.9306 (lower bound and upper bound)
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in certain areas of the city, the Electricity power is cut randomly in a rate of 3/day find the probability that in any given day there are at least 7 cuts at most 4 cuts.
Answer: This comes out to be 0.1031.
Step-by-step explanation:
in this case, we are given that the rate of power cuts in the city is 3/day, so the rate parameter for our Poisson distribution is $\lambda=3$. We want to find the probability that there are at least 7 cuts but at most 4 cuts in a given day. This means we need to find the probability that $k=7$, $k=8$, $k=9$, ..., $k=4$. We can use the formula for the probability mass function to find the probability for each of these values of $k$ and add them together to get the total probability.
A senior accounting major at Midsouth State University has job offers from four CPA firms. To explore the offers further, she asked a sample of recent trainees how many months each worked for the firm before receiving a raise in salary. The sample information is submitted to Minitab with the following results: Analysis of Variance Source Factor df Ss MS F 3 28.17 9.39 5.37 0.133 15 26.26 1.75 18 54.43 Total What is the decision rule? (Round your answer to 2 decimal places.) eject H0 if F> At the 0.01 level of significance, is there a difference in the mean number of months before a raise was granted among the four CPA firms? Do not reject O Reject
Treatment remains the same. Do not Reject.
Test Statistics:
[tex]f = \frac{\text{treatment}}{\text{error}} = 5.37[/tex]
Reject Null Hypothesis if [tex]f > f(a, a-1, N-a)[/tex]
Critical Value [tex]f(0.01, 3, 15) = 5.42 \text{ (From F Table)}[/tex]
[tex]\because 5.37 < 5.417[/tex]
We fail to Reject [tex]H0[/tex]
[tex]\therefore[/tex] Do not Reject.
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If a nonlinear system depends on a parameter, then the equilibrium points can change as the parameter varies. In other words, as the parameter changes, a bifurcation can occur. Consider the one-parameter system family of systems dx = x2 – a =-y(+2+1), where a is the parameter.(a) Show that the system has no equilibrium points if a < 0. (b) Show that the system has two equilibrium points if a > 0. (c) Show that the system has exactly one equilibrium point if a = 0. (d) Find the linearization of the equilibrium point for a = 0 and compute the eigenvalues of this linear system.
If a<0, then there is no x-null lines, the system has no equilibrium points.
If a=0, it has only one equilibrium points.
If a>0, the system has two equilibrium points.
Points are (-√a,0) and (√a,0)
The system changes from no fixed points to two fixed points when it increases through a=0.
a is a bifurcation point.
The Jawbian matrix,
J = [tex]\left[\begin{array}{ccc}2x&0\\-2xy&x^{2}-1\\\end{array}\right][/tex]
Now,
J[0,0] = [tex]\left[\begin{array}{ccc}0&0\\0&-1\\\end{array}\right][/tex] =0
J[-√a,0] = [tex]\left[\begin{array}{ccc}-2\sqrt{a} &0\\0&-a-1\\\end{array}\right][/tex] = 2a√a + 2√a
If a=0, then it will be a live equilibrium, one of the values are 0, For a>0, the point (-√a,0) is sink and (√a,0) is a saddle points.
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Find a formula for the general term an of the geometric sequence:
{ 10/3, 10/9, 10/27, 10/81, 10/243}
Express the common ratio r as a fraction and place in parentheses!
an = __________
Answer: [tex]\displaystyle \frac{10}{3}\left(\frac{1}{3}\right)^{n-1}[/tex]
======================================================
Explanation:
a = 10/3 is the first term
r = 1/3 is the common ratio
Multiply each term by r = 1/3 to get the next term.
Example:
(10/3)*(1/3) = 10/9
We then plug those two items into the formula
[tex]a_n = a(r)^{n-1}[/tex]
to end up with the answer shown above.
The value of n is a positive integer.
78 POINTS BRANLIEST CHECK WILL DELETE U IF WRONG ANSWER
Answer:
Below
Step-by-step explanation:
For the boxes:
the sum of all three angles = 180 for a triangle
soooo : 28 + x-4 + 2x = 180
then x = 52 via algebra
Which statement is true about the functions f(x)=-15x^2+32 and g(x)=-17x^2+5x+32? a. f(x) and g(x) have the same zeros. b. f(x) has a higher maximum than g(x). c. f(x) and g(x) have the same y intercept. d. f(x) and g(x) are odd functions.
None of the Options are true both the given functions are parabolic functions.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Given function are, f(x)=-15x²+32 and g(x)= -17x²+5x+32,
Zeros for the functions are,
x = ± 1.461 and x = -1.233 and 1.527,
Where g(x) has a higher maximum than f(x), the Intercept of f(x) is greater than g(x). As shown in the graph.
Thus, none of the options are true because both of the supplied functions are parabolic.
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200 g of water in a glass is at 10.0°C when an ice cube is placed in the glass. What is the temperature of the water after it has transferred 4,200 J of thermal energy to the ice cube? °C
Answer:
20.0°C
Step-by-step explanation:
To find the final temperature of the water after it has transferred thermal energy to the ice cube, we need to use the equation:
Q = cmΔT
where Q is the amount of thermal energy transferred, c is the specific heat capacity of the substance, m is the mass of the substance, and ΔT is the change in temperature.
In this case, we are given that Q = 4,200 J and m = 200 g. The specific heat capacity of water is 4.184 J/g°C.
Substituting these values into the equation gives us:
4,200 J = (4.184 J/g°C)(200 g)(ΔT)
Solving for ΔT gives us:
ΔT = 4,200 J / [(4.184 J/g°C)(200 g)] = 10°C
Since the initial temperature of the water was 10.0°C, the final temperature of the water is 10.0°C + 10°C = 20.0°C.
Therefore, the temperature of the water in the glass is 20.0°C after it has transferred 4,200 J of thermal energy to the ice cube.
Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) 5 f(x) a = 2 1 + x
The first four nonzero terms of the series for f(x) from the taylor series is F(x)=5/3-5/9(x-2)+5/27(x-2)²-5/81(x-2)³+....
Given that,
We have to get the first four nonzero terms of the series for f(x), centering at the specified value of a, use the definition of a Taylor series. (Separate your responses into a list using commas.)
f(x)=5/1+x and a=2
We know that,
Take
f(x)=5/1+x and a=2
f(2)=5/1+2=5/3
f'(x)=-5/(1+x)² f'(2)=-5/(1+2)²=-5/9 (differentiating)
f''(x)=10/(1+x)³ f''(2)=10/(1+2)³=10/27
f'''(x)=-30/(1+x)⁴ f'''(2)=-30/(1+2)⁴=-30/81=-10/27
Using the taylor series
F(x)=f(a)-(x-a)f'(a)+(x-a)²/2!f''(a)-(x-a)³/3!f'''(a)+....
F(x)=f(2)-(x-2)f'(2)+(x-2)²/2f''(2)-(x-2)³/3!f'''(2)+....
F(x)=5/3-(x-2)(5/9)+(x-2)²/2(10/27)-(x-2)³/6(-10/27)+....
F(x)=5/3-5/9(x-2)+5/27(x-2)²-5/81(x-2)³+....
Therefore, The first four nonzero terms of the series for f(x) from the taylor series is F(x)=5/3-5/9(x-2)+5/27(x-2)²-5/81(x-2)³+....
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. if x1, x2, x3 are independent random variables that are uniformly distributed over (0, 1), compute the probability that the largest of the three is greater than the sum of the other two.
The probability that the largest of the three random variables is greater than the sum of the other two is:P(x1 > x2 + x3) = 1/4
The probability of an event occurring is equal to the number of favorable outcomes divided by the total number of outcomes. In this case, the total number of outcomes is 8, since each of the three random variables can take on any value between 0 and 1 independently. The favorable outcomes are those in which x1 is greater than the sum of the other two variables, which is 1/4 of the total number of outcomes. Therefore, the probability that the largest of the three random variables is greater than the sum of the other two is 1/4.
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manny has just filled out his deposit ticket for his savings account. he hands it to the teller and the teller hands it back to manny. the teller explains to manny that the deposit ticket cannot be accepted in its current form. what must manny do to the deposit ticket in order for the teller to process the deposit ticket? a deposit ticket. the ticket has not been signed for cash back. the date is december 16. a. manny forgot to sign the deposit ticket for less cash back
The manny must do his signature on the deposit ticket in order to get deposited the cashback ticket.
What is cashback?
Cashback is a type of reward program offered by some retailers and online merchants that gives customers money back for making purchases. It is a way for retailers to reward customers for their loyalty and encourage them to keep coming back to their store. Cashback can be offered in the form of a fixed amount, a percentage of the purchase price, or a combination of both. Cashback rewards may be paid in cash or as credits to the customer's account, and they may be used to purchase additional items from the store or to offset future purchases.
When teller sees the deposit ticket he must have seen that it is not signed by manny hence he returned this to manny now manny just have to do one work that to sign that deposit ticket after that teller will accept that deposit ticket and manny will get his required cashback easily in his bank account
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Answer:
a edge
Step-by-step explanation:
On the grid above, flag F is rotated around point S. Which of the images does NOT result from this transformation?
A.
image 3
B.
image 2
C.
image 1
D.
All of the images result from this transformation
.
A figure in the flag has rotational symmetry if the figure can be mapped onto itself by a rotation between 0° and 360° about the center of the figure.
What is symmetry?Symmetry in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Something is symmetrical when it is the same on both sides. A shape has symmetry if a central dividing line (a mirror line) can be drawn on it.To learn more about symmetry refer to:
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Rewrite This Integral As An Equivalent Iterated Integral In The Five Other Orders. (Assume Y(X) = Squareroot X And Z(Y) = 8 Y)
The given integral is:
∫ ∫ ( x) ×(8 × (√ x)) dx dy
By changing the order in which we integrate with respect to the variables x and y, we can rewrite this integral as an iterative integral of the other five orders. The other five commands are:
a. ∫ ∫ (√ x) ×(8 × (√t x)) dy dx
b. ∫ ∫ (8 × (√ x)) × (√ x) dx dy
c. ∫ ∫ (8 × (√ x)) × (√ x) dy dx
d. ∫ ∫ (√ x) × (√x) dx (8 × y)
e. ∫ ∫ (√ x) × (√ x) (8 * y) dx
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a movie production company is releasing a movie with the hopes that many viewers will return to see the movie in the theater for a second time. their target is to have 40 million viewers, and they want more than 40% of the viewers to want to see the movie again. they show the movie to a test audience of 140 people, and after the movie they asked them if they would see the movie in theaters again. of the test audience, 66 people said they would see the movie again.
As per the concept of hypothesis, the value of p is 0.47 the value of the static hypothesis is 4.3893 and the statistical division when the alpha = 0.05 is 0.1085.
What is meant by hypotheses?
in math, hypotheses refers a an assumption, an idea that is proposed for the sake of argument so that it can be tested to see if it might be true.
Here we have given that, a movie production company is releasing a movie with the hopes of many viewers returning to see the movie in the theater for a 2nd time. The target is to have 40 million viewers and they want more than 40% of the viewers to return to see the movie again.
And they show the movie to a test audience of 140 people.
Of the test audience, 66 people said they would see it again.
And we have to determine, the p-value is, the p-value for the test statistic.
And the statistical division when the alpha = 0.05 and explain the managerial conclusion for this situation.
Based on the question, the null hypothesis is,
H0: P = 3
H1: P > 0.03
Here we know that they show the movie to a test audience of 140 people.
So, n = 140
Here the test audience, 66 people said they would see it again.
So, x = 66
Therefore, the value of p is,
=> 66/140 = 0.47
Then the test hypothesis is,
=> Z = (0.47 - 0.3) / √[(0.3(1 - 0.3))/140]
When we simplify this one, then we get,
=> Z = 4.3893
Therefore, value of the static hypothesis is 4.3893.
Then the p-value = 0.1085 at 5% level of significance.
Here, 0.1085 < 4.3893,
Therefore, the null hypothesis is not rejected.
Therefore, p-value = 0.1085, and we will not reject the null hypothesis.
So, the value of the static hypothesis is greater than the null hypothesis and the value of p so the value of not rejects the null hypothesis.
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100 points
Pls pls pls help
What is the measure of angle R in this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the hundredths place (2 decimal places).
m∠R=
Answer:
m∠R = 61.92°------------------------------------
Use trigonometry.
Since all three sides are known, you may choose either sine, cosine or tangent.
We'll use sine here:
sine = opposite leg / hypotenusesin ∠R = TS/TRsin ∠R = 60/68sin ∠R = 0.8823m∠R = arcsin 0.8823m∠R = 61.92°Eduardo is painting a rectangular wall that is 96 inches high and 120 inches long. What is the area of the wall?
Answer:
The area of the wall is:
11520 inches²
Step-by-step explanation:
Area of a rectangle = high * long
Then:
Area = 96 inches * 120 inches
Area = 11520 inches²
Convert from point slope form to slope intercept form.
Slope U/D, (5,0)
Please help me!!!!!!!
Answer:
x = 5
Step-by-step explanation:
assuming you mean the slope of the line id undefined and passes through (5, 0 )
A line with an undefined slope is a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (5, 0 ) with x- coordinate 5 , then
x = 5 ← equation of line
Find x , y ( 10 points)
Answer:
x = 15
y = 4
Step-by-step explanation:
18/6 = x/5
3/1 = x/5
x = 15
12/y = 3/1
3y = 12
y = 4
Put the slope intercept form
The graph represents Tamira's motion detector walk. Complete the following sentences based on the graph.
Note that:
For 1) To compute the average rate (AR), divide the change in y-values by the change in x-values. That is:
AR = (5-2)/5-4)
= 3/1
= 3ft/sec.
For 2) we must use the same formula above:
(2-5)/(10-7)
= -1 ft/sec.
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Full Question:
See attached graph