Write the equation of a line with a slope of 3 and a y-intercept of O. Do not use spaces
in your response.
Answer:
y = 3x
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 3x+0
y = 3x
Answer:
y = 3x
Step-by-step explanation:
Slope intercept form is written in [ y = mx + b ] where m = slope and b = y intercept.
y = 3x + 0
y = 3x
Best of Luck!
Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car
from Great Cars for S40 plus $0.03 per mile. How many miles must they both drive for
their rental fees to be the same?
Answer:
750 miles
Step-by-step explanation:
Ronald
Rental fee = fixed cost + variable cost
= $25 + $0.05x
Where x = number of miles
Dixon
Rental fee = fixed cost + variable cost
= $40 + $0.03x
How many miles must they both drive for their rental fees to be the same?
Equate the two equations
$25 + $0.05x = $40 + $0.03x
Collect like terms
0.05x - 0.03x = 40 - 25
0.02x = 15
Divide both sides by 0.02
x = 15 / 0.02
= 750 miles
Evaluate the expression for the given values.4ab/8c where a=8, b=4, and c=1/2
4ab/8c
put a = 8 , b = 4 and c = 1/2
\(\frac{4\times8\times4}{8\times\frac{1}{2}}=\frac{4\times8\times4}{4}=32\)so the answer is 32
flour
row
3) Liz needs to have at least $500 to go to cheer camp. She is selling candy bars for a profit of $2 each. If
she already has $150, how many candy bars does she have to sell to have enough money to go to camp?
She needs $500, and since she already has $150, she needs 500 - 150 = $350 more.
If she profits $2 each candy bar, and she needs $350, she will need to sell at least 350 : 2 = 175 candy bars to have enough money to go tot eh camp.
The independence assumption says that: Group of answer choices A. Each sample needs to have a sample size of 30 or more B. All observations have to drawn from the same distribution C. All sample respondents must do so independently, meaning they are not coerced into responding D. Non-response must be kept to a minimum E. None of the above
The independence assumption says that all sample respondents must do so independently, meaning they are not coerced into responding. Thus, option C is the right answer.
What is the independence assumption? The independence assumption is a term used in statistical surveys that refers to the idea that survey participants' responses are not influenced by each other. As a result, data is seen as independent because it is not influenced by any other data in the same sample. This assumption is critical since it aids in the development of statistical analysis, which is used to understand how variables relate to one another. A, B, D, and E options are not correct because:
A. Each sample needs to have a sample size of 30 or more. This is not correct because it's a condition used in the Central Limit Theorem.
B. All observations have to be drawn from the same distribution: This is not correct because the assumptions depend on the study.
C. All sample respondents must do so independently, meaning they are not coerced into responding: This is the right option because the independence assumption says that all sample respondents must do so independently, meaning they are not coerced into responding.
D. Non-response must be kept to a minimum. This is not correct because it is about survey sample bias, not independence.
E. None of the above: This is not the right answer because option C is the right answer.
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The height (perpendicular line segment) of an isosceles triangle from a vertex to the base is 4 inch long.If the base of this triangle is 6 inch long, how long will the legs of this triangle be (in inches)?
Given:
Height of the isosceles triangle = 4 inches
Base of triangle = 6 inches
Let's find the length of the legs of the traingle.
Let's sketch a figure which represents this isosceles triangle.
Since the triangle is an isoceles triangle, the length of the legs will be equal.
a = b
To find the length of the legs, apply Pythagorean Theorem:
\(c^2=a^2+b^2\)Where:
a = 4 in
b = 3 in
Thus, we have:
\(\begin{gathered} c^2=4^2+3^2 \\ \\ c^2=16+9 \\ \\ c^2=25 \end{gathered}\)Take the square root of both sides:
\(\begin{gathered} \sqrt[]{c}^2=\sqrt[]{25}^2 \\ \\ c=5 \end{gathered}\)Therefore, the length of the legs of the isosceles triangle is 5 inches.
The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers
The correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.
What is an average?In layman's terms, an average is a single number chosen to represent a set of numbers, usually the sum of the numbers divided by the number of numbers in the set. The average of the numbers 2, 3, 4, 7, and 9 is 5, for example.To find the estimated average number of shoppers in the original store at any time:
In the new store, the manager estimates that an average of 90 shoppers per hour enter the store, which is equivalent to 1.5 shoppers per minute. The manager also estimates that each shopper stays in the store for an average of 12 minutes. Thus, by Little’s law, there are, on average, N=rt = (1.5)(12) = 18 shoppers in the new store at any time. This is (45-18)/45 × 100 = 60 percent less than the average number of shoppers in the original store at any time.Therefore, the correct option is (A) 60 as the estimated average number of shoppers in the original store at any time is 45.
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The complete question is given below:
The owner of the Good Deals Store opens a new store across town. For the new store, the owner estimates that, during business hours, an average of 90 shoppers per hour enter the store and each of them stays an average of 12 minutes. The average number of shoppers in the new store at any time is what percent less than the average number of shoppers in the original store at any time?
(A) 60
(B) 70
(C) 80
(D) 50
what would be the sum and carry for this function on a truth table
Q = (X*2) + (Y/2) + Z
To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.
The given function is\(Q = (X*2) + (Y/2) + Z\)
Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3
From the truth table above, we can see that the sum of Q for all eight input combinations is 12.
To find the carry, we will need to determine the maximum output value for the given function.
We can observe that the highest output value is 3.5.
Therefore, there is no carry for this function since the highest output value is less than four.
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Show whether or not each pair of triangles are similar, if possible. Justify your answer, and write a similarity statement when the triangles are similar.
If the matching sides and angles of two triangles are proportional, then the triangles are said to be similar.
Triangles that share the same form but differ in size are said to be similar.
Examples of related objects are all equilateral triangles and squares with any side length. In other words, two similar triangles have similar sides that are proportionately equal and similar angles that are congruent. Three triangle-specific theorems can be used to easily identify between related triangles. SSS, SAS, ASA, AAS, and HL are the five ways to determine whether two triangles are congruent.SSS (side, side, side) (side, side, side) SSS, which stands for "side, side, side," denotes that there are two triangles with equal sides. . AAS (angle, angle, side), ASA (angle, side, angle), SAS (side, angle, side), and HL (angle, angle, side) (hypotenuse, leg)Hence from the above properties we can find if any two triangles are similar.
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What is the algebraic form of the verbal description below?
The product of three and a number increased by 7 is 16.
Answer:
3x+7=16
Step-by-step explanation:
Product is to multiply
a number is a variable
increase is to add
is means eqaul to
Let
u
=
[
1 −1 −2
]
,
v
=
[
3 1 −6
]
,
w
=
[
−2 2 6
]
.
(a) Give a geometric description of Span {u, v}. (What does it look like?)
(b) Determine if w is in Span{u, v}
(c) Give a description of Span{u, v, w}. Justify your answer. (Hint: Consider the matrix A whose columns are u, v, and w.)
The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.
(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.
(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:
w = a*u + b*v
Solving the system of equations formed by equating corresponding components, we have:
-2 = 3a - 2b
2 = -a + 2b
6 = -2a - 6b
Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.
(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:
A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]
We can row-reduce matrix A to its echelon form:
[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]
The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.
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a certain phone company charges $4.50 for the first five minutes of an international phone call. additional time is charged at $.50 per minute. how much would a customer be charged for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day?
A customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.
Charge for first 5 charged = $ 4.50
Charge for additional time = $ 0.50 per minute
Starting time = 9:35 p.m.
End time = 11:15 p.m.
Total minutes = 100 minutes
Total charge = 4.50 + (95 x 0.50)
= 4.50 + 47.50
= 52.00
Hence, a customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.
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Including the floor, how many faces are there?
x:(x+3) = 2:3
work out the value of x
Answer:
x = 6
Step-by-step explanation:
x:(x + 3) = 2:3
\( \frac{ \\ x}{x + 3} = \frac{2}{3} \)
cross multiply
3x = 2(x + 3)
3x = 2x + 6
subtract (2x) from both sides
3x – 2x = 2x – 2x + 6
x = +6
x = 6
Which graph models function m?
x- 0 1 2 3 4 5
m(x)- -9 -4 -1 0 -1 -4
Giving Brainliest for right answers :)
Answer:
∠ DFE = 15°
Step-by-step explanation:
The inscribed angle DFE is half the measure of its intercepted arc, that is
∠ DFE = \(\frac{1}{2}\) DE = \(\frac{1}{2}\) × 30° = 15°
Answer:
<DFE = 15
Brainliest, please!
Step-by-step explanation:
<DFE is an inscribed angle. An inscribed angle measures half as much as it's opposite arc.
30 x 1/2 = 15
What is the length of a in this triangle?
a^2 = 37^2 - 35^2
a^2 = 1369 - 1225
a^2 = 144
___
a = /144
a = 12
An ABS (Australian Bureau of Statistics) employee wishes to test the speed (in minutes) with which different online survey designs can be completed. Three different online survey designs have been proposed. One complication in assessing the surveys is the notion that individual differences might influence the speed with which the online forms are completed. To account for individual differences an experiment is arranged so that a survey from each design is completed by each individual. The following results are extracted from a randomised block experiment with three treatment levels (i.e. three types of online survey designs) and five blocks (i.e. 5 individuals). SSBL (sum of squares between blocks) = 3738, SSB (sum of squares between groups) = 1048.93 and SST (sum of squares total) = 5391.33. Based on this information, what is the critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance? Use our textbook statistical table to answer the question.
The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance is 10.76.
The critical value can be determined using a statistical table.
The degrees of freedom for the blocks is 4 (df_b = 5 - 1 = 4) and for the treatments is 2 (df_t = 3 - 1 = 2).
The critical value for a 5% level of significance is 10.76.
This value can be found in the statistical table given in the textbook.
The critical value used to test if there is evidence of an effect due to blocks at the 5% level of significance can be calculated by using the F-test statistic.
The F-test is used to compare the variance between the blocks (SSBL) and the variance between the groups (SSB).
The F statistic is calculated by dividing the variance between the blocks (SSBL) by the variance between the groups (SSB).
In this case,
The F statistic is 3738/1048.93 = 3.56.
The critical value for a 5% level of significance can be found using a statistical table.
According to the table,
The critical value for an F statistic of 3.56 with four degrees of freedom in the numerator and four degrees of freedom in the denominator is 10.76
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4. The Windsor-Detroit International Freedom Festival hosts one of the largest fireworks displays in the world. The fireworks are set off over the Detroit River. The path of a particular firework rocket is modelled by the relation h=-4.9(t-2)+169.6, where h is the rocket's height above the water, in metres, and t is the time, in seconds.
a) How long will the rocket take to reach its maximum height? What is the maximum height?
b) A firework rocket will stay lit for an average of 5 s. What will the height of a rocket be 5 s after it is launched?
a) It takes 2 seconds for the rocket to reach the maximum height, and this maximum height is of 169.6 metres.
b) The height of the rocket five seconds after it was launched is of 125.5 metres.
How to obtain the vertex of the quadratic equation?The vertex-form definition of a quadratic function is defined as follows:
y = a(x - h)² + k.
In which the parameters are given as follows:
h is the x-coordinate of the vertex.k is the y-coordinate of the vertex.a is the leading coefficient.In the context of this problem, the height function is defined as follows:
h(t) = -4.9(t - 2)² + 169.6.
Hence the coordinates of the vertex are given as follows:
h = 2 -> maximum height at 2 seconds.k = 169.6 -> maximum height of 169.6 metres.As the leading coefficient is negative, the parabola is concave down and the vertex represents a maximum.
The height at a time of five seconds is of:
h(5) = -4.9(5 - 2)² + 169.6 = 125.5 metres.
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Problems Group A Learning objective 3 P3-33A Journalizing adjusting entries and subsequent journal entries 1. b. DR Insurance Expense, \$4,500 Laughter Landscaping has collected the following data for the December 31 adjusting entries: a. Each Friday, Laughter pays employees for the current weck's work, The amount of the weekly payroll is $7,000 for a five-day workweek. This year December 31 falls on a Wednesday. Laughter will pay its employees on January 2. b. On January 1 of the current year, Laughter purchases an insurance policy that covers two years, $9,000. c. The beginning balance of Office Supplies was $4,000. During the year, Laughter purchased office supplies for $5,200, and at December 31 the office supplies on hand total $2,400. d. During December, Laughter designed a landscape plan and the client prepaid $7,000. Laughter recorded this amount as Unearned Revenue. The job will take several months to complete, and Laughter estimates that the company has carned 40% of the total revenue during the current year. c. At December 31, Laughter had carned $3,$00 for landscape services completed for Turnkey Appliances. Turnkey has scared that they will pay Laughter on January 10. f. Depreciation for the current year includes Equipment, $3,700; and Trucks, $1,300. g. Laughter has incurred $300 of interest expense on a $450 interest payment due on January 15. Requirements 1. Journalize the adjusting encry needed on December 31 , for each of the previous items affecting Laughter Landscaping. Assume Laughter records adjusting entrics only at the end of the year. Requirement 1 only
The journaliztion of the the adjusting entries needed for the previous items affecting Laughter Landscaping on December 31 is made.
To journalize the adjusting entries needed on December 31 for the previous items affecting Laughter Landscaping, you would make the following entries:
b. DR Insurance Expense, $4,500
CR Prepaid Insurance, $4,500
c. DR Office Supplies Expense, $6,800
CR Office Supplies, $6,800
d. DR Unearned Revenue, $4,200
CR Service Revenue, $4,200
c. DR Accounts Receivable, $3,000
CR Service Revenue, $3,000
f. DR Depreciation Expense - Equipment, $3,700
CR Accumulated Depreciation - Equipment, $3,700
DR Depreciation Expense - Trucks, $1,300
CR Accumulated Depreciation - Trucks, $1,300
g. DR Interest Expense, $300
CR Interest Payable, $300
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you Play a video game for 11 minutes. You lose 121 points. What integer represents the mean change in points per minutes?
Answer: 11
Step-by-step explanation:
Simplify : - sqrt(- 75) A. - 5i * sqrt(2) B. - 5i * sqrt(3) C. - 5i D. 5i
Answer:
B
Step-by-step explanation:
Here, we want to calculate the square root of -√- (75)
That will be
-√(25)(-3)
= -5 √(-3)
√(-3) is same as 3i
So we have the root as;
-5i√3
A customer in Maine orders a Dog Treat Bundle for $34.80. The sales tax in Maine is 5.5%. How much sales tax is collected on the order?
Answer/Step-by-step explanation:
GIven;
A customer in Maine orders a Dog Treat Bundle for $34.80.
The sales tax in Maine is 5.5%.
To Find;
How much sales tax is collected on the order?
Solve;
$34.80 * 5.5% = 1.914
Round: 1.914 = 1.91 [Sales tax added]
$34.80 + 1.91 = 32.89 [Total]
Hence, $1.91 sales tax is added and $32.89 is the total (include sales tax)
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Determine if the matrix below is invertible. Use as few calculations as possible. Justify your answer.
[4 5 7 5]
[0 1 3 6]
[0 0 3 9]
[0 0 0 1]
Choose the correct answer below.
a. The matrix is invertible. The given matrix is not row equivalent to the nxn identity matrix.
b. The matrix is invertible. The given matrix has 4 pivot positions.
c. The matrix is not invertible. If the given matrix is A, the equation Ax= b has no solution for at least one b in R4
d. The matrix is not invertible. In the given matrix the columns do not form a linearly independent set
b. The matrix is invertible. The given matrix has 4 pivot positions. this is correct statement.
To determine if the matrix is invertible, we need to check if it is a square matrix and if its columns form a linearly independent set.
The given matrix is a square matrix, as it has the same number of rows and columns (4x4).
To check if its columns form a linearly independent set, we can perform row reduction or look for pivot positions. In this case, by observing the matrix, we can see that it has 4 pivot positions, which means that the columns form a linearly independent set.
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Amanda's office has 40 employees.
The employees want to have a catered
dinner. They have found a company
that will provide what they need for $25
per person. Amanda knows that some
people will bring a guest. The company
has budgeted $1500 for this event. How
many guests can they invite? Assume the
price of $25 includes all taxes.
Write an equation for this problem.
Answer:
\(25x+1000=1500\) which means \(x=20\) guests
Step-by-step explanation:
The initial 40 employees cost 40*25 = $1000
So, we can set up the equation:
\(25x + 1000=1500\) where x is the number of guests.
This means \(25x=500\).
\(x=20\)
You use technology to carry out a significance testand get a P-value of 0.031. The correct conclusion is
Answer:
The significance test result using technology gave a P-value of 0.031. Based on the conventional level of significance of 0.05, this suggests that we reject the null hypothesis and conclude that there is strong evidence to support the alternative hypothesis. In other words, the result is statistically significant, indicating that there is a significant relationship or difference between the variables being tested. Therefore, we can confidently say that the result is not due to chance and provides reliable evidence to support the alternative hypothesis.
Am truck weigh 4,725 pound. The truck can carry 7,500 pound. What i the total weight of the truck and full load
The total weight of the truck is 7,500 pounds and the full load weighs 2775.
This is a simple subtraction problem and we can easily find out the required values by subtracting the correct values. It has been mentioned that the Truck can carry 7500 pounds and that the Truck's weight is 4725 pounds.
The weight of the load can be calculated as follows-
= 7500 - 4725 pounds
= 2775 pound
So, the total weight of the truck same as its total capacity with which it can carry, that is, 7500 pounds, and the weight of its full load which can be put in the truck is 2775 pounds.
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how are trapezoids and parallelograms related
Answer :A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid. Carlos says, A trapezoid has at least one pair of parallel sides, but it can also have another.
Step-by-step explanation:
1.42 Sleeping in college: A recent article in a college newspaper stated that college students get an average of 6.2 hrs of sleep each night. A student who was skeptical about this value decided to conduct a survey by randomly sampling 29 students. On average, the sampled students slept 5.2 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.
The sample mean of 5.2 hours represents the average sleep duration observed in the sampled group of 29 students, while the claimed population mean of 6.2 hours represents the average sleep.
In the context of statistical inference, the term "sample mean" refers to the average of a subset of data taken from a larger population, while the "population mean" represents the average of the entire population.
In this scenario, the value 6.2 hours represents the claimed population mean. This is the average sleep duration stated in the college newspaper article,
which claims to represent the average sleep time of all college students. It is an estimate of the population mean based on available information.
On the other hand, the value 5.2 hours represents the sample mean. It is the average sleep duration observed from a randomly sampled group of 29 students.
The student who conducted the survey wanted to test the claim made in the newspaper article by collecting data from a smaller subset of the population.
The sample mean serves as an estimate of the population mean. By calculating the average sleep duration from the sampled students, the student aimed to make an inference about the larger population of college students.
The sample mean provides insight into the sleep habits of the sampled students, but it may or may not accurately reflect the population mean.
In summary, the sample mean of 5.2 hours represents the average sleep duration observed in the sampled group of 29 students,
while the claimed population mean of 6.2 hours represents the average sleep duration stated in the college newspaper article for all college students.
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Select the correct answer.
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x) + 1.
Which statement describes how the graph of h is different from the graph of g?
O A. The graph of h is the graph of g horizontally shifted left 1 unit.
OB.
The graph of h is the graph of g vertically shifted down 1 unit.
The graph of h is the graph of g vertically shifted up 1 unit.
The graph of h is the graph of g horizontally shifted right 1 unit.
O C.
O D.
Reset
Next
The correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.
The correct answer is:
B. The graph of h is the graph of g vertically shifted up 1 unit.
Explanation:
The original function g(x) = x² represents a basic quadratic function, which is a parabola that opens upward and has its vertex at the origin (0, 0).
When we consider the function h(x) = g(x) + 1, we are adding a constant value of 1 to the output (y) values of the function g(x). This results in a vertical shift of the graph of g(x) by 1 unit upward.
In other words, for every x-value, the corresponding y-value of the function h(x) will be 1 unit higher than the corresponding y-value of the function g(x).
Visually, this means that the graph of h(x) will be the same shape as the graph of g(x), but it will be shifted upward by 1 unit. The vertex of the parabola, which was originally at the origin, will now be at (0, 1).
The statement "The graph of h is the graph of g horizontally shifted left 1 unit" (Option A) is incorrect because there is no horizontal shift in this transformation.
The statement "The graph of h is the graph of g vertically shifted down 1 unit" (Option B) is incorrect because the transformation results in a vertical shift upward, not downward.
The statement "The graph of h is the graph of g horizontally shifted right 1 unit" (Option D) is incorrect because there is no horizontal shift in this transformation.
Therefore, the correct answer is B. The graph of h is the graph of g vertically shifted up 1 unit.
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