Answer:
Subtract the flat rate of 1.75 from the spending limit of 10$ which leaves you with 8.25 then divide the rest of your spending money (8.25$) into your rate per mile (0.65) , so essentially , 8.25 / 0.65 which leaves you with the answer of ;
12 miles.
Step-by-step explanation:
College Algebra Chapter 2 Difference Quotient Complete this after Chapter 2 is passed in Aleks. Please complete all parts, showing all work. Then upload to the appropriate Assignment folder in Brightspace. If needed, you can go back in Aleks to review the skills on this assignment. Evaluate the difference quotienthf(x+h)−f(x)Show all work.f(x)=4x2+1
The difference quotient for the function f(x) = 4x^2 + 1 is 8x
The difference quotient is a formula used to find the average rate of change of a function over an interval. It is represented by the formula: (f(x+h) - f(x))/h. In this case, we are asked to evaluate the difference quotient for the function f(x) = 4x^2 + 1.
Step 1: Substitute the function into the difference quotient formula:
(f(x+h) - f(x))/h = ((4(x+h)^2 + 1) - (4x^2 + 1))/h
Step 2: Simplify the expression:
= ((4x^2 + 8xh + 4h^2 + 1) - (4x^2 + 1))/h
= (8xh + 4h^2)/h
Step 3: Factor out h from the numerator:
= h(8x + 4h)/h
Step 4: Cancel out the h terms:
= 8x + 4h
Step 5: Substitute h = 0 to find the final answer:
= 8x + 4(0)
= 8x
Therefore, the difference quotient for the function f(x) = 4x^2 + 1 is 8x. This is the final answer for this Assignment. Remember to always show all work when evaluating the difference quotient.
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Jasim works in a restaurant.
The table shown gives his rates of pay.
Day
Mon to Fri
Weekend
Jasim worked for a total of 30 hours last week.
He worked 12 of these hours at the weekend.
Work out Jasim's pay for last week.
Rate of pay
£8.70 per hour
£10.80 per hour
Answer:
Step-by-step explanation:
The option that is most suitable for tabular data will be provided by-
Jasim's last week's total pay was £286.2.
Describe tabular data.Tabular data is data presented in the form of rows and columns.
Here,
Total time for which Jasim works last week = 30 hours
Time for which Jasim works at the weekend = 12 hours
Time for which Jasim works at the weekdays = (30 - 12) hours
= 18 hours
Jasim's pay during weekdays = £8.70
Jasim's pay during weekends = £10.80 per hour
Jasim's pay during weekdays last week = £8.70 \(\times\) 18
= £156.6
Jasim's pay during weekends = £10.80
Jasim's pay during weekends = £10.80 per hour
Jasim's pay during weekdays last week = £10.80 \(\times\) 12
= £129.6
Total pay of Jasim for last week = £(156.6 + 129.6)
= £286.2
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we are worried that is measured with error in our survey. let tvhours denote the reported hours of television viewing per week. what do the classical errors-in-variables (cev) assumptions require in this application? do you think the cev assumptions are likely to hold? explain.
The classical errors-in-variables (CEV) assumptions require that the measurement error in tv hours is not related to the true value of television viewing.In other words, the error should be random and not correlated with the actual amount of time spent watching TV.
Additionally, the CEV assumptions require that the measurement error has a mean of zero and a constant variance. Whether or not the CEV assumptions are likely to hold in this application depends on several factors. One important consideration is the accuracy of the survey instrument used to collect data on tv hours.
If the survey is poorly designed or administered, it may introduce systematic measurement error that is correlated with the true value of television viewing.
Another important factor is the population being surveyed. If the population is highly diverse with respect to television viewing habits, it may be difficult to ensure that the CEV assumptions hold for all subgroups.
Overall, while it is possible that the CEV assumptions hold in this application, it is also possible that they do not. Researchers should carefully consider the potential sources of measurement error and take steps to minimize them if possible.
Additionally, sensitivity analyses can be conducted to explore the robustness of study results to violations of the CEV assumptions.
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Which statement describes the rate of change of the following function?
f(x) = 2x - 8
OA. The function has a varying rate of change when x < 8.
OB. The function has a varying rate of change when x> 2.
OC. The function has a constant rate of change, increasing for all x at a rate of 2.
OD. The function has a constant rate of change, decreasing for all x at a rate of 8.
Each part of the question should be answered in one well-developed paragraph, or the steps to a final numerical answer should be clearly shown. Label your responses to each part as (a), (b), etc. Marks will be reserved for answers that demonstrate knowledge of course content in relatively plain language. You must use your own words. The prime minister of Ecoland wants to minimize the unemployment rate. a) Use the AD-AS to briefly explain a fiscal policy and a monetary policy that can achieve the prime minister's goal. ( 5 marks) b) Suppose the central bank of Ecoland helps the prime minister achieve his goal. Predict the impact on the unemployment rate and the inflation rate in the short run. Explain how the slope of the SRAS matters. ( 5 marks) c) The opposition party's leader argues that the prime minister and the central bank's agreement will affect inflation expectations, which will be costly for the country in the long run. Use the AD-AS model to explain the opposition leader's point. ( 5 marks) d) Suppose the prime minister chooses to use fiscal policy instead to minimize the unemployment rate. The opposition leader argues that doing so will also be costly for the country in the long run. Use concepts from this course to explain the opposition leader's point yet again
a) Fiscal policy: Increase government spending or reduce taxes to boost aggregate demand (AD). Monetary policy: Lower interest rates or increase money supply to stimulate AD.
b) Impact depends on SRAS slope. Output ↑, unemployment ↓ in short run. Inflation ↑ if SRAS is steep.
c) Higher inflation expectations from persistent expansionary policies can lead to increased wages and prices, resulting in higher inflation in the long run.
d) Expansionary fiscal policy can lead to budget deficits, crowding out private investment, higher government debt, future tax burdens, and dependency on government intervention.
a) Fiscal policy involves using government spending and taxation to influence aggregate demand (AD) and stabilize the economy. To minimize the unemployment rate, the prime minister could implement expansionary fiscal policy by increasing government spending or reducing taxes. This would lead to an increase in AD, stimulating economic activity, and potentially reducing unemployment. Monetary policy, on the other hand, involves actions taken by the central bank to influence the money supply and interest rates. The prime minister could work with the central bank to implement expansionary monetary policy, such as lowering interest rates or conducting open market operations to increase the money supply. This would encourage borrowing and spending, boosting AD and potentially reducing unemployment.
b) If the central bank helps the prime minister achieve the goal of minimizing the unemployment rate, it can have short-run effects on both the unemployment rate and the inflation rate. Expansionary fiscal and monetary policies can increase AD, leading to increased output and potentially reducing unemployment in the short run. However, the impact on inflation will depend on the slope of the short-run aggregate supply (SRAS) curve. If the SRAS is relatively flat, the increase in output will have a larger impact on reducing unemployment without significantly increasing inflation. Conversely, if the SRAS is steep, the increase in output may lead to a significant increase in inflation with only a modest reduction in unemployment.
c) The opposition leader's argument is related to the long-run implications of the prime minister and central bank's agreement on inflation expectations. According to the AD-AS model, in the long run, the economy will reach the natural rate of unemployment (NRU) where the SRAS curve intersects the long-run aggregate supply (LRAS) curve. If expansionary fiscal and monetary policies are used persistently to reduce the unemployment rate below the NRU, it can create inflationary pressures. This may result in higher inflation expectations among households and businesses, leading to higher wage demands and increased prices.
d) If the prime minister chooses to use fiscal policy to minimize the unemployment rate, the opposition leader argues that it will also be costly in the long run. This is because expansionary fiscal policy, such as increasing government spending or reducing taxes, can lead to budget deficits. Persistent budget deficits can increase government debt and require borrowing, which may lead to higher interest rates and crowding out private investment. Higher government debt can also result in future tax burdens or reduced government spending on other essential areas, impacting long-term economic growth.
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A recipe says that 2 cups of dry rice will serve 6 people. Complete the table as you answer the questions. Be prepared to explain your reasoning.
How many people will 10 cups of rice serve?
How many cups of rice are needed to serve 45 people?
A recipe says that 6 spring rolls will serve 3 people. Complete the table
Answer:
1a. 10 cups of dry rice will serve 30 people.
1b. 15 cups of dry rice will serve 45 people.
2. 30 spring rolls = 15 people
40 spring rolls = 20 people
56 spring rolls = 28 people
Step-by-step explanation:
1a. To find a constant, the equation is y/x. When 6 is divided by 2, you get 3 and from there the input increases by 3. So, you multiply 10 by 3 to find how many people it can serve.
1b. To find this answer, you divide 45 by 3 to get 15. So 15 cups will serve 45 people.
2. Any number in the second column is divided by .5 to get the number in the first column. Any number in the first column is multiplied by .5 to get the number in the second column.
I hope that helps :)
Suppose we want to test H0: μ = 30 versus Ha: μ < 30. Which of the following possible sample results based on a sample of size 36 gives the strongest evidence to reject H0 in favor of Ha?
A) = 28, S = 6
B) = 27, S = 4
C) = 32, S = 2
D) = 26, S = 9
The sample of size 36 provides the strongest evidence to reject H0 in favor of Ha
B) = 27, S = 4.
An testing whether the population mean (μ) is less than 30 based on a sample of size 36. The test statistic commonly used in this scenario is the t-statistic which follows a t-distribution.
The formula for the t-statistic is
t = (X - μ) / (S / √(n))
where:
X is the sample mean
μ is the hypothesized population mean under H0
S is the sample standard deviation
n is the sample size
A smaller t-statistic value indicates stronger evidence against H0 and in favor of Ha.
calculate the t-statistic for each sample result
A) X= 28, S = 6, n = 36
t = (28 - 30) / (6 / √(36)) = -2 / (6/6) = -2
B) X= 27, S = 4, n = 36
t = (27 - 30) / (4 / √(36)) = -3 / (4/6) = -4.5
C) X = 32, S = 2, n = 36
t = (32 - 30) / (2 / √(36)) = 2 / (2/6) = 6
D) X = 26, S = 9, n = 36
t = (26 - 30) / (9 / √(36)) = -4 / (9/6) = -8/3 ≈ -2.67
Comparing the t-statistics, that option B) with t = -4.5 gives the strongest evidence against H0. A more negative t-value indicates a larger deviation from the hypothesized mean of 30, which supports the alternative hypothesis that the true mean is less than 30.
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Answer please ASAP thank you
Answer:
1. quadrilateral, four,four
2.triangle, three, three
3. triangle, three, three
4. quadrilateral, four, four
5. triangle, three, three
sally would like a 90 average on the five math tests this semester. her scores so far are 80, 82, 92, 98. what grade must she earn on her 5th and last test to achieve the 90 average?
Answer:
Step-by-step explanation: To find out what grade Sally needs to earn on her fifth and last math test to achieve a 90 average, we use the following steps:
Step 1: Add the total points Sally has received: 80 + 82 + 92 + 98 = 352.
Sally has taken 4 tests so far.
Step 2: Find the total marks required for a 90 average on 5 tests: 90 x 5 = 450.
Step 3: Find the score Sally needs to achieve on her fifth test by subtracting the points earned from the total required points: 450 - 352 = 98.
Therefore, Sally needs to earn a grade of 98 on her 5th and last test to achieve a 90 average on all five tests this semester.
please help!! will mark brainiest to whoever gets it right!!
Answer:
x = 77
Step-by-step explanation:
x and 103 are same- side exterior angles and sum to 180°
x + 103 = 180 ( subtract 77 from both sides )
x = 77
in circle N, KL SIMILAR TO ML what is the measure of
66
74
77
80
Answer:
Step-by-step explanation:
In a circle, if two angles are inscribed in the same arc, they are congruent. Therefore, since KL and ML are similar angles, they have the same measure. Out of the given options, the only measure that satisfies this condition is 74. Therefore, the measure of KL and ML is 74.
Find the value of x.
Answer:
x = 5
Step-by-step explanation:
TU is a tangent segment with length 6. RT is a secant segment.
In the circle, the square of the tangent is equal to the product (multiply) of the part of the secant outside the circle and the secant's entire length.
Words don't work well here, do they!
In symbols, (ST)(RT) = (TU)^2
\(4(x+4)=6^2\\4x+16=36\\4x=20\\x=5\)
A craftsman wants to build this fiddle. He needs to know the area of the face of the fiddle. How could he use the measurements shown to find the area?
The Area of Trapezium is 50, 267 mm².
We have,
base 1 = 224 mm
base 2 = 77 mm
Height = 334 mm
Now, Area of Trapezium
= 1/2 (Sum of parallel side) x height
= 1/2 (224 + 77) x 334
= 1/2 x 301 x 334
= 50, 267 mm²
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Which shows two expressions that are equivalent to (Negative 7) (Negative 15) (Negative 5) Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed?
Answer:
(-8) + (-8) + (-8) + (-8)
Step-by-step explanation:
Since Yan is descending ; we represent his movement as being negative.
Number of rungs descended before stopping = 4
Number of stops = 8
Given that no extra steps was taken ;
Number of ladder rungs descended :
4 rungs per stop for 8 stops
- 4 * 8 = - 32 rungs
Another way to write the product :
Number of stops added in number of rungs descended :
(-8) + (-8) + (-8) + (-8)
Becca had of a yard of ribbon to use for her crafts projects. She used of a yard to make a bow. How much ribbon, r, does Becca have left?
Set up an equation and solve.
answers:46/105, 91/45, 3r/7, 3/7 - r , 136/105
only two space for two answers
Answer:
a y a r d = a 2 y r d a y a r d = a 2 y r d
Step-by-step explanation:
Combine these radicals.
Anyone can help pls
Suppose you are running in a marathon for charity, looking to raise at least $1500. People may sponsor you by donating either $15 or $25 for every mile you run. However, you cannot have more than 100 people sponsoring you for this marathon.
Now, create a system of inequalities using the above information (use x and y as the variables).
Answer:
See below ~
Step-by-step explanation:
Let :
x = people donating $15 when you runy = people donating $25 when you runTwo inequalities created are :
15x + 25y ≥ 15003x + 5y ≥ 300 [Simplified] ⇒ Inequality 1x + y ≤ 100 ⇒ Inequality 2Solving
Let the people paying $15 be "x" and $25 be "y"
1st inequality
15(x) + 25(x) ⩾ $1500
2nd inequality
x + y ≤ 100
1/3 x 3/4
Help me plss
Answer:
1/4
Step-by-step explanation:
this should be it
(hope it helps)
Answer:
1/4 is your answer.....
What is 7/8 - 2/3 equal
Answer:
5/24 is your answer
Step-by-step explanation:
The sum of the first and third term of a geometirc series is 250. The sun.m of the second and third term of the series is 150. The common ratio of the series is r.
(a) Find the two possible values of r.
The sum of the first n term of the series is Sn.Given that r>0 and Sn>399.99
(b) Find the least value of n.
Which plane in the rectangular prism is parallel to plane ABC?
plane ABH
plane EFG
plane CDF
plane BCE
The plane EFG in the rectangular prism is parallel to plane ABC.
In this question, we have been given the rectangular prism ABCDEFGH
We need to find the plane which is parallel to plane ABC.
We can observe that in given rectangular prism,
plane ABH is parallel to the plane CDF
plane BCE is parallel to the plane AGF
plane EFG is parallel to plane ABC.
Therefore, the plane EFG in the rectangular prism is parallel to plane ABC.
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Make t as the subject of the formula.
P = d + 15t
Answer:
\(t=\frac{P-d}{15}\)
Step-by-step explanation:
\(P=d+15t\\\\P-d=15t\\\\\frac{P-d}{15}=t\)
which of the following statements about pie charts is false? question 1select one: a. pie charts are graphical representations of the cumulative relative frequency distribution b. pie charts are usually used to display the relative sizes of categories for categorical data c. pie charts always have the shape of a circle d. area of each slice of a pie chart is the proportion of the corresponding category of the frequency distribution of a categorical variable
The false statement about pie charts is: (a) Pie charts are graphical representations of the cumulative relative frequency distribution.
Pie charts are not typically used to represent the cumulative relative frequency distribution. They are commonly used to display the relative sizes or proportions of different categories within a categorical variable.
Each slice of a pie chart represents the proportion or percentage of a specific category in relation to the whole. Pie charts always have the shape of a circle, and the area of each slice corresponds to the proportion of the corresponding category in the data.
However, they are not directly used to depict cumulative relative frequency distributions, which are more commonly shown through other types of graphs such as cumulative frequency plots or histograms.
Therefore, (a) Pie charts are graphical representations of the cumulative relative frequency distribution is the correct answer.
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In the figure, AOB and COD are straight lines. Find x and y.
E
A
20
65
B
The image of the straight lines is missing so i have attached it.
Answer:
x = 20°
y = 120°
Step-by-step explanation:
From the image attached, we can say that;
3x + (7x - 20) = 180
This is because sum of angles on a straight line is 180°
Thus;
3x + 7x - 20 = 180
10x = 180 + 20
10x = 200
x = 200/10
x = 20°
Also,3x + y = 180
Because sum of angles on a straight line is 180°. Thus;
3(20) + y = 180
60 + y = 180
y = 180 - 60
y = 120°
A principal surveyed 75 seventh-grade and eighth-
grade students. She asked them if they prefer to
obtain the news from the Internet or to obtain the
news from television. She created a table to display
the data, as shown below.
News Preference
Internet
Television
16
34
Students
Seventh Grade
A
Eighth Grade
10
15
How many seventh-grade students responded to the
survey? Show or explain how you got your answer.
Answer:
50
Step-by-step explanation:
16+34=50
50 seventh-grade students responded to the survey.
What is Data?In mathematics, data refers to a collection of facts, numbers, observations, or measurements that have been gathered or recorded. Data is used to represent and analyze information in various mathematical contexts, such as statistics, probability, and data analysis.
First, Eighth Grade
= 10 + 15
= 25
Second, Seventh Grade
= 16 +34
= 50
Thus, 50 seventh-grade students responded to the survey.
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A train traveling at a speed of 160 km / hr will take 18 hours to cover between two cities . How long will it take a car travelling at 120 km/hr to cover the same distance
Answer:
24 hours
Step-by-step explanation:
160 x 18 = 2880
2880/120 = 24
when jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result. multiple choice question. large increase large reduction slight increase slight reduction
Jerry burger replicated milgram's experiment in 2009, he found that 70% of participants were still obeying, a from milgram's result is slight reduction .slight reduction means small in quantity or extent. 2 of small importance; trifling. slim and delicate. lacking in strength or substance.
How many participants in Milgram's study obeyed all the way to the end?In his book Understanding Milgram's Work Today, Robert Burger pointed out that in the original experiment, 79 percent of subjects who persisted after the learner's initial screams at 150 volts persisted all the way to the end of the scale, at 450 volts.The experiment had only one variation in which 26 out of 40 subjects obeyed, and this variation is where the figure of 65% of people following orders applied. In certain iterations of the study, not a single participant heeded the experimenters' commands, while in other modifications, many fewer participants were willing to do so.To learn more about Milgram's study refer to:
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Find the volume of a sphere with a diameter of 8 cm. (Use 3.14 for pi.) 189 cm³ 258 cm³ 159.9 cm³ 267.95 cm³
Answer:
267.95 cm³ (nearest hundredth)
Step-by-step explanation:
Formulae
\(\textsf{Volume of a sphere}=\sf \dfrac43 \pi r^3\quad\textsf{(where r is the radius)}\)
\(\textsf{Diameter of a circle}=\sf 2r\quad\textsf{(where r is the radius)}\)
Given:
diameter = 8 cm\(\pi\) = 3.14⇒ radius = 8 ÷ 2 = 4cm
\(\begin{aligned}\implies \textsf{Volume} &=\sf \dfrac43 \cdot 3.14 \cdot 4^3\\ & = \sf 267.95\:cm^3\:(nearest\:hundredth)\end{aligned}\)
Answer:
267.95 cm³
Step-by-step explanation:
Volume of a sphere
4/3πr³Here, diameter = 8 cm.
But, diameter = 2 x radius
Therefore, radius = 4 cm.
Solving
V = 4/3 x 3.14 x (4)³V = 4/3 x 3.14 x 64V = 4/3 x 200.96V = 267.95 cm³Suppose P(A) = 0.12, P(B) = 0.4, and P(A or B) = 0.52.
Are events A and B mutually exclusive?
Are events A and B independent?
ANSWERS ARE
1. ✔ yes
2.✔ no
The solutions to the probability expressions are
Are the events A and B mutually exclusive? YesAre the events A and are independent? YesHow to determine the true statements about the probability?From the question, we have the following parameters that can be used in our computation:
P(A) = 0.12
P(B) = 0.4
P(A or B) = 0.52
For mutually exclusive events, we have
P(A or B) = P(A) + P(B)
So, we have
0.12 + 0.4 = 0.52
Evaluate
0.52 = 0.52 --- this is true
For independent events, we have
P(A or B) = P(A) + P(B)
So, we have
0.12 + 0.4 = 0.52
Evaluate
0.52 = 0.52 --- this is also true
Hence, the events are mutually exclusive and they are independent
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A person who earns a piece rate wage puts zippers in pants for $2.10 per zipper. How much will they earn for a day in which they sew 35 zippers?
Answer:
$73.5 Since it's a piece rate wage I just multiplied 2.10 x 35.