Answer:
B) 8,000.18 is in thousands place.
The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.
Step-by-step explanation:
Hope it is helpful to....
Re-write the quadratic function below in Standard Form
y = -9(x - 1)(x + 2)
Answer:
-9x^2 - 9x + 18
Step-by-step explanation:
-9 • (x - 1) • (x + 2)
-9x + 9 • (x + 2)
-9x^2 -18x + 9x + 18
-9x^2 - 9x + 18
Answer:
y = - 9x² - 9x + 18
Step-by-step explanation:
y = - 9(x - 1)(x + 2) ← expand factors using FOIL
= - 9(x² + x - 2) ← distribute parenthesis by - 9
y = - 9x² - 9x + 18 ← in standard form
Machine A makes 12.75 ounces of popcorn in 3 minutes. Machine B makes 18 ounces of popcorn in 4 minutes.
If each machine makes popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain.
a) Yes; Machine A and Machine B make 77.5 ounces in 10 minutes. 77.5 > 72, so there will be enough popcorn.
b) Yes; Machine A and Machine B make 87.5 ounces in 10 minutes. 87.5 > 72, so there will be enough popcorn.
c) No; Machine A and Machine B make 67.5 ounces in 10 minutes. 67.5 < 72, so there will not be enough popcorn.
d) No; Machine A and Machine B make 30.75 ounces in 10 minutes. 30.75 < 72, so there will not be enough popcorn.
If each machine makes popcorn for 10 minutes, there will be enough popcorn as machine A and machine B make 87.5 ounces in 10 minutes.
According to the question,
We have the following information:
Machine A makes 12.75 ounces of popcorn in 3 minutes.
So, we will find the ounces of popcorn in 1 minute:
3 minutes = 12.75 ounces
1 minute = 12.75/3 ounces
1 minute = 4.25 ounces
So, in 10 minutes machine A will make:
10 minutes = (4.25*10) ounces
10 minutes = 42.5 ounces
Machine B makes 18 ounces of popcorn in 4 minutes.
So, we will find the ounces of popcorn in 1 minute made by machine B:
4 minutes = 18 ounces
1 minute = 18/4 ounces
1 minute = 4.5 ounces
So, in 10 minutes machine B will make:
10 minutes = (4.5*10) ounces
10 minutes = 45 ounces
Now, the total amount of popcorn made by both the machines will be:
Popcorn made by machine A in 10 minutes + Popcorn made by machine B in 10 minutes
42.5 + 45
87.5 ounces
Now, the eight 9-ounce bags mean that there will be 72 ounces of popcorn.
So, we have:
87.5 ounces is greater than 72 ounces.
Hence, the correct option is B.
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As part of a clawe project yoa are given 0,9009 of copper and arked to fahicate a wire with uniform-cross-section, You use up \( 95 \% \) of the coppen and make a wire with a renistance of \( 0.673 \m
As given, the amount of copper is 0.9009. You have used 95% of the copper, then the amount of copper used is 0.9009 * 0.95 = 0.855855.
To find the cross-sectional area of the wire, we will use the formula for resistance
\(R = ρ(L/A)\),
To calculate the cross-sectional area of the wire, we can re-arrange the above formula,\(A = ρL / R = (1.72 * 10^-8 m) (1 m) / (0.673 Ω) = 2.56 * 10^-8 m²\)
To find the diameter of the wire, we will use the formula for the area of a circle,
\(A = πr²\), where r is the radius of the wire. Substituting the value of A in the above formula, we get
\(,πr² = 2.56 * 10^-8 m²T\)
r = \(√(2.56 * 10^-8 m² / π) = 8.063 * 10^-5 m\)
The diameter of the wire is
\(,D = 2r = 2 * 8.063 * 10^-5 m = 1.61 * 10^-4 m\)
The diameter of the wire is \(1.61 * 10^-4\) m.
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Scott spent $54 on fruit at the grocery store. He spent a total of $60 at the store. What percentage of the total did he spend
on fruit?
Help !!!!
Answer:
I think it is 90%
Step-by-step explanation:
this is the case because 54/60 will be 9/10 if reduced
A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? a. 2
b. 4
c. 6.5
d. 7
The bug changes direction at t = 4. This can be answered by the concept of velocity.
To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.
To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.
Therefore, the bug changes direction at t = 4.
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Consider the following hypothesis test: H0: p ? .75 Ha: p < .75 A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use ? = .05. Round your answers to four decimal places.
a. p = .68 p-value? Conclusion: p-value H0?
b. p = .72 p-value? Conclusion: p-value H0 ?
c. p = .70 p-value? Conclusion: p-value H0 ?
d. p = .77 p-value? Conclusion: p-value H0?
For each given sample result, the p-value and conclusion are as follows:
a. p-value = 0.0067, Conclusion: Reject H0, b. p-value = 0.0830, Conclusion: Fail to reject H0, c. p-value = 0.0322, Conclusion: Reject H0
d. p-value = 0.6221, Conclusion: Fail to reject H0
The p-value is a measure of the evidence against the null hypothesis (H0). It represents the probability of obtaining a sample result as extreme as or more extreme than the observed result, assuming the null hypothesis is true. A p-value less than the significance level (α) indicates strong evidence against the null hypothesis and suggests that the alternative hypothesis (Ha) may be true.
a. For p = .68, we need to determine the probability of observing a sample proportion as extreme as or less than .68, assuming the null hypothesis is true. By conducting the appropriate statistical test (e.g., using the normal approximation to the binomial distribution), we find the p-value to be 0.0067. Since the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to support the claim that the proportion is less than .75.
b. For p = .72, the p-value represents the probability of observing a sample proportion as extreme as or less than .72. Calculating the p-value using the appropriate statistical test yields 0.0830. Since the p-value is greater than α = .05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that the proportion is less than .75.
c. With p = .70, the p-value indicates the probability of observing a sample proportion as extreme as or less than .70. The calculated p-value is 0.0322. As the p-value is less than α = .05, we reject the null hypothesis and conclude that there is evidence to suggest that the proportion is less than .75.
d. For p = .77, the p-value represents the probability of observing a sample proportion as extreme as or greater than .77. After performing the necessary calculations, we find the p-value to be 0.6221. Since the p-value is much greater than α = .05, we fail to reject the null hypothesis. Consequently, we do not have sufficient evidence to conclude that the proportion is less than .75.
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What is X? Show your work
Answer:
x=-3/7
Step-by-step explanation:
multiply both side by 21, move constant to the right and change its sign, collect the terms, divide both side by 7
In the diagram shown below,
ABCE is a trapezium,
AD is parallel to BC,
DE=4cm,
Area of ABCE=60cm^2
Area of ABCD=40cm^2
Work out the values of f and g.
You must show all your working
The values for g and f for the length of sides of the trapezium are 8 and 6 respectively.
How to evaluate for the values of g and f for the trapeziumGiven the area of trapezium = 60 cm², then:
1/2 × (g + 4g) × f = 60 cm²
by simplification
f(g + 2) = 60 cm²...(1)
for the area of ABCD = 48 cm², then:
f × g = 48 cm²
f = 48/g...(2)
put 48/g for f in equation (1) to get g;
48/g(g + 2) = 60
60g = 48g + 96 {cross multiplication}
60g - 48g = 96 {collect like terms}
12g = 96
g = 96/11 {divide through by 11}
g = 8
put 8 for g in equation (2) to get f;
f = 48/8
f = 6.
Therefore, the values for g and f for the length of sides of the trapezium are 8 and 6 respectively.
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the mean number of pets owned by the population of students at a large high school is 3.2 pets per student with a standard deviation of 1.7 pets. a random sample of 16 students will be selected and the mean number of pets for the sample will be calculated.
Which of the following does the parameter u represent in a paired t procedure? the mean of a single variable in a population the difference between the means of two independent populations the standard deviation of the differences between paired observations the mean difference in the responses to the two groups within pairs of subjects in the entire population
The parameter u in a paired t procedure represents the mean difference in the responses to the two groups within pairs of subjects in the entire population.
This means that u captures the average change or effect observed when comparing the two related groups.
To elaborate further:
The parameter u represents a specific measure of interest in a paired t procedure. In a paired t procedure, the data consists of paired observations, where each observation is made on the same subject or item under different conditions.
The parameter u represents the mean difference between the paired observations for the entire population. It quantifies the average change or effect observed between the two groups being compared within the pairs of subjects. By estimating the value of u from a sample, we can make inferences about the population parameter and test hypotheses regarding the difference between the two groups.
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About 5 out of 10 people entering a community college need to take a refresher mathematics course. If there are 970 entering students, how many will probably need a refresher mathematics course?
I need a answer asap
a machine has a record of producing 80% excellent, 16% good, and 4% unacceptable parts. after extensive re- pairs, a sample of 200 produced 157 excellent, 42 good, and 1 unacceptable part. have the repairs changed the nature of the output of the machine?
The repairs have indeed changed the nature of the output of the machine, with an overall improvement in the quality of the parts produced.
To determine if the repairs have changed the nature of the output of the machine, we can compare the percentages of excellent, good, and unacceptable parts before and after the repairs.
Before repairs:
- 80% excellent
- 16% good
- 4% unacceptable
After repairs, we can calculate the percentages based on the sample of 200 parts:
- 157 excellent parts: (157/200) * 100 = 78.5% excellent
- 42 good parts: (42/200) * 100 = 21% good
- 1 unacceptable part: (1/200) * 100 = 0.5% unacceptable
Comparing these percentages, we can see that the output has changed after the repairs:
- Excellent parts decreased from 80% to 78.5%
- Good parts increased from 16% to 21%
- Unacceptable parts decreased from 4% to 0.5%
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Zane has already walked 15 kilometers this week, plus he plans to walk 2 kilometers during each trip to school. How many trips will Zane have to make in all to walk a total of 41 kilometers?
Step-by-step explanation:
" role="presentation" style="outline: 0px; display: inline-table; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.017px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">√x=5x=5
Answer:
Step-by-step explanation:
" role="presentation" style="outline: 0px; display: inline-table; line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 17.017px; letter-spacing: normal; overflow-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">√x=5x=5
Simplify the following expression
by combining like terms.
3z + 2 - 2 + 8 = [? ]z +
Answer:
3z+8
Step-by-step explanation:
3x+2−2+8
=3x+2+−2+8
Combine Like Terms:
=3x+2+−2+8
=(3x)+(2+−2+8)
=3x+8
If h(x) = f(x) - g(x) = 2x, at what x-value will f(x) = g(x) + 20?
a) x = 20
b) x = 10
c) x = 5
d) x = 2
Answer:
B
Step-by-step explanation:
This is a neat question
f(x) - g(x) = 2x Add g(x) to both sides
f(x) = g(x) + 2x
Now you need the right hand side to have 20 added to g(x).
2x must = 20
2x = 20 Divide by 2
x = 20/2
x = 10
So the answer must be x = 10
list the factor pairs of the number 28
The multiple of 28 are;
\(\begin{gathered} 1\times28 \\ 2\times14 \\ 4\times7 \end{gathered}\)Thus, the factor pairs are;
\((1,28),(2,14),(4,7)\)Checking number 2( Solving inequalities)
1. x < 20
x - 7 < 13
x < 20
2. x > -7
-3(x + 4) < 9
-3x - 12 < 9
-3x < 21
x > -7
Hope this helps!
Think About the Process Use the algebra tiles to help you solve the equation 3x - 6 = 21. What is
the first step in solving the equation using algebra tiles? What is the solution to the equation?
What is the first step in solving the equation using algebra tiles?
O A. Divide each side of the model by 3.
OB. Add six - 1 tiles to each side of the model.
OC. Multiply each side of the model by 3.
lestion 7 In presenting Resource-Advantage (RA) theory, Hunt and Lambe (2000) use a boxes-and- ot yet niswered oints out of arrows diagram called, "A Schematic of RA Theory of Competition, These boxes are 00 a. Resources, Debt, Financial Performance y Flag question b. Debt, Market Position, Financial Performance c. none of the above d. Resources, Market Position, Debt e. Resources, Market Position. Financial Performance
The correct combination of boxes in the diagram is: Resources, Market Position, and Debt. These three elements are central to the RA theory and are interconnected in their influence on a firm's competitive advantage and performance.
In presenting Resource-Advantage (RA) theory, Hunt and Lambe (2000) use a boxes-and-arrows diagram called "A Schematic of RA Theory of Competition." This diagram illustrates the key elements of the theory and their relationships. The boxes in the diagram represent important components or factors, while the arrows indicate the directional relationships between these components.
Resources refer to the tangible and intangible assets that a firm possesses, including physical, financial, human, and intellectual resources. These resources provide the foundation for a firm's competitive advantage and can include factors such as technology, brand reputation, skilled workforce, and financial capital.
Market Position represents a firm's strategic positioning within its target market. It encompasses factors such as customer perceptions, market share, competitive differentiation, and market reputation. A strong market position enables a firm to leverage its resources effectively and gain a competitive edge.
Debt refers to the financial obligations or liabilities that a firm has, including loans, bonds, and other forms of debt financing. Debt can impact a firm's financial performance and stability, as well as its ability to invest in resources and maintain its market position.
By considering the interplay between resources, market position, and debt, the RA theory emphasizes how firms can leverage their resource advantages to strengthen their market position and achieve better financial performance. This framework highlights the importance of aligning these elements strategically and efficiently managing resources and debt to gain a sustainable competitive advantage in the marketplace.
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Hannah surveyed 50 of the 450 students at her school to determine ownership of cats and dogs. Her results are shown in the table. Based on the table, how many of the students in hannah’s school would you predict own at least one cat or dog? Explain your reasoning
when comparing more than two condition means, why should an analysis of variance be used instead of multiple t tests? a. using multiple t tests increases the risk of a type i error. b. using multiple t tests increases the risk of a type ii error. c. the analysis of variance is more likely to detect statistical significance. d. there is no advantage to using an analysis of variance instead of multiple t tests. a. there are no differences between any of the population means. b. at least one of the three population means is different from another population mean. c. all three of the population means are different from each other. d. one population mean is different from one of the other population means, but not the other population mean. a. r2
When comparing means of three or more conditions, an analysis of variance (ANOVA) should be used instead of multiple t-tests. This is because using multiple t-tests increases the risk of a type I error, where a significant difference is found when there is none. ANOVA controls for this by using a single test to determine if there is a significant difference between the means. Additionally, using multiple t-tests increases the risk of a type II error, where a significant difference is not found when there is one.
ANOVA is also more likely to detect statistical significance between the means because it takes into account the variability within each condition as well as the variability between conditions. This increases the power of the test and reduces the chances of missing a significant difference between the means.
When using ANOVA, the results can indicate that there are no differences between any of the population means (option a), that at least one of the three population means is different from another population mean (option b), that all three of the population means are different from each other (option c), or that one population mean is different from one of the other population means, but not the other population mean (option d).
Finally, ANOVA provides a measure of effect size, typically reported as r2, which indicates the proportion of variability in the data that can be attributed to the differences between the conditions. This can be useful in determining the practical significance of the results.
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Elena is feeding her neighbor’s dogs. Each dog gets 1/2 cup of dog food, and she uses 3 cups of food when she feeds them. How many dogs does her neighbor have?
Answer:
6
Step-by-step explanation:
1/2 cup = 1 dog
1 cup = 2 dogs
x3 = 6
Answer:
Elena has five dogs.
Step-by-step explanation:
Each dog eats two-third cups of dog food. A total of three and one-third cups of food is used up
What are the roots of the equation
The roots of the equation are 9 + 3i and 9 - 3i in simplest a + bi form.
What is meant by roots?
A root is a value that satisfies an equation, for example, the solution of an equation when set equal to zero. The roots of an equation are often called solutions or zeros of the equation.
What is a equation?
An equation is a mathematical statement that shows that two expressions are equal. It usually consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.
According to the given information
To find the roots of the equation x² - 18x + 90 = 0 in simplest a + bi form, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / 2a
where a = 1, b = -18, and c = 90.Plugging in these values, we get:
x = (18 ± √((-18)² - 4(1)(90))) / 2(1)
x = (18 ± √(324 - 360)) / 2
x = (18 ± √(-36)) / 2
The discriminant (-36) is negative, which means that the roots are complex conjugates. Therefore, we can simplify the expression as follows:
x = (18 ± 6i) / 2
x = 9 ± 3i
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A submarine is descending to examine the seafloor 2100 feet below the surface. It takes a submarine two hours to make this decision. What’s an equation to represent the relationship between submarines elevation time
Elevation = 0 - 1050 × Time or Elevation = -1050t, where Elevation is in feet and Time is in hours, is the expression that describes the connection between the submarine's elevation and time.
What is a mathematical measure of time?Seconds, mins max, minutes, days, periods, months, and years are the fundamental elements of time. To determine the time of day, we use secs, minutes, as well as hours; to determine the date, we use times, months, and years. The lesser measures of time are seconds, minutes, and hours, while the larger ones are days, months, and years.
Assuming that the submarine is descending at a constant rate, we can use the equation:
Elevation = Initial Elevation - Rate × Time
where Initial Elevation is the starting elevation (in this case, the surface), Rate is the rate of descent, Time is the time elapsed, and Elevation is the current elevation.
In this case, the Initial Elevation is 0 feet (the surface), the Rate is -1050 feet per hour (since the submarine is descending at a rate of 1050 feet per hour), and Time is the elapsed time in hours.
Therefore, the equation that represents the relationship between the submarine's elevation and time is:
Elevation = 0 - 1050 × Time
or
Elevation = -1050t
where Elevation is in feet and Time is in hours.
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Question 1 Match the expression with its equivalent. Expression: I a... b b. 29 c.x-a. b d. (ª)b ª e. f. x². ya g. x. x h. x. xya i. i. Vxaya xªy k. xy Equivalent: 1. (xy)a 2+b 3.2ª-b 4.
The expression given is matched with the equivalent expression
Match the expression with its equivalent. Expression: I am assuming that this is the expression a. xya+b b.29 c.x-a.b d.(ª)b ª e. f.x².ya g.x.x h.x.xya i.i.Vxaya xªy k.xy Equivalent: 1. (xy)a 2+b 3.2ª-b 4.
Step-by-step explanation The equivalent expression of each of the following expressions is given below: Expression Equivalent 1.
I am assuming that this is the expression xya + b (xy)a 2+b2. 29 293. x - a (ª)b ª2ª - b4. (ª)b ª (ª)b ª5. x².ya x².ya6. x.x x²7. x.xya x²ya8. i. Vxaya xªy V(xy)ª/29. xy xyHence, the given expression is matched with the equivalent expression.
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Does anyone know how to do this !!!
The area of the field is 10,765.44 square meters.
Given that:
Diameter, d = 72 m
Width, W = 72 m
Length, L = 93 m
The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.
The area of the field is calculated as,
A = (π/4)d² + W·L
A = (3.14 / 4) x 72² + 72 x 93
A = 4,069.44 + 6,696
A = 10,765.44 square meters
The area of the field is 10,765.44 square meters.
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Gurl this is 6th grade math and I’m still dumb Enough to not know it
Answer:
false, false, true
Step-by-step explanation:
0 times anything is always 0. 7 with an exponent of 3 is never 7*3, it's 7*7*7. for the last one, 2*2*2*2 is 16 and so is 4*4. lol im pretty dumb too tbh
In a certain chemical, the ratio of zinc to copper is 3 to 14 . A jar of the chemical contains 574 grams of copper. How many grams of zinc does it contain? NEED THIS ASAP
=============================================
Work Shown:
(zinc)/(copper) = 3/14
(x grams of zinc)/(574 grams of copper) = 3/14
x/574 = 3/14
14x = 574*3
x = 574*3/14
x = 123 grams of zinc
Economic The cost of making 100 units is $ 5,400, and the cost of making 150 units is $ 7,500.
(a) Assuming the cost follows a linear model, find the cost function C(r). (b) If the price of the units is given by p = 92.02.x, find the number of units that need to be sold to break even.
The cost of making 100 units is $5,400, and the cost of making 150 units is $7,500. We can write these statements in the form of an equation:
C(100) = 5400C(150) = 7500 . We need to determine the cost function C(r), assuming the cost follows a linear model.
Step 1: Find the slope of the line (m) .
Step 2: Find the y-intercept (b) of the line . To find the y-intercept (b) of the line, we can use the point-slope form of the line equation, where the point is (100, 5400). The slope of the line is 21, so the equation of the line is : \(C(r) - 5400 = 21(r - 100)C(r) = 21r - 2100This is the cost function C(r).The price of the units is given by p = 92.02x.\)
\(Total revenue = Total costp(x) * x = C(x)92.02x * x = (21x - 2100) * xx(92.02 - 21) = 2100x = 105.8\)
So, the number of units that need to be sold to break even is 106 units.
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Can someone help me with number 6 pls. I will give brainly.
Answer:
The answer is... x = 7 I used an app called Cymath is goes down step by step to help.
Step-by-step explanation:
I hope I helped you! :)
Answer:
the anwser is d
Step-by-step explanation: