Based on the slopes of both lines, the relationship between both lines is: D. a and b are perpendicular.
What is the Relationship between Parallel lines or Perpendicular Lines?The relationship between two lines that are parallel is that they have the same slope, while the relationship between perpendicular lines is that their slopes are negative reciprocals of each other.
Find the slope of the line that passes through (-5, -2) and (-5, -5):
Slope (m) = change in y / change in x = (-5 -(-2)) / (-5 -(-5))
m = (-5 + 2) / (-5 + 5)
m = -3/0 [cannot divide, therefore, the slope is undefined).
The line is therefore a vertical line.
Find the slope of the line that passes through (0, 4) and (5, 4):
Slope (m) = change in y / change in x = (4 - 4) / (5 - 0)
m = 0/5
m = 0
This line is an horizontal line.
In conclusion, the relationship between a vertical and a horizontal line is that they are perpendicular to each other, therefore, the answer is: D. a and b are perpendicular.
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explain why the analysis of differences is important in the confirmation of accounts receivable, even if the misstatements in the sample are not material.
The purpose of accounts receivable confirmations is to obtain third-party verification of the account's balance and to determine how frequently misstatements take place.
Here,
Only a small portion of the entire population is often subject to accounts receivable confirmation. The confirmation's goals are to gain external confirmation of the account's balance and to get a sense of how frequently misstatements in the accounts occur.
The majority of errors revealed by discrepancies on the confirmation replies won't be significant; however, discrepancies must be examined individually and collectively to establish their impact on the total balance of accounts receivable.
Even while the discrepancies between individuals may not be significant, they could point to a significant issue with the internal controls over accounts receivable when applied to the entire population.
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Point O is the incenter of triangle A B C. Lines are drawn from the points of the triangle to point O. Lines are drawn from point O to the sides of the triangle to form right angles and line segments O Q, O R, and O S. Angle O B C is 15 degrees. Angle O C R is 30 degrees.
What is mAngleQOB?
a. 30°
b. 60°
c. 75°
d. 90°
The measure of angle QOB is 75°.
What is right angle?
90 degrees is the angle of a right.
The right angle is created when two straight lines cross at a 90° angle or when they are perpendicular at the intersection. The symbol stands for a right angle.
Given:
Point O is the incenter of triangle ABC.
Lines are drawn from the points of the triangle to point O.
Lines are drawn from point O to the sides of the triangle to form right angles and line segments OQ, OR, and OS.
Angle OBC is 15 degrees. Angle OCR is 30 degrees.
OBC= 15
OCR =30
In OBQ
OBQ + QOB + OQB = 180
OBQ= OBC=15
OQB= 90
So,
QOB = 180- OBQ- OQB
= 180-15 -90
= 75
Hence, the measure of angle QOB is 75°.
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jo adds up all the positive integers from 1 to 100. kate does a similar thing with the first 100 positive integers; however, she first rounds every integer to its nearest multiple of 10 (rounding 5s up) and then adds the 100 values. what is the positive difference between jo's sum and kate's sum?
Jo's sum is easy = (100)(101)/2 = 50 * 101 = 5050
Given,
In the question:
Jo adds up all the positive integers from 1 to 100. Kate does a similar thing with the first 100 positive integers.
She first rounds every integer to its nearest multiple of 10 (rounding 5s up) and then adds the 100 values.
To find the what is the positive difference between jo's sum and Kate's sum?
Now, According to the question:
Kate would first start with 5 [ since 1 - 4 ] are rounded to 0
Starting with 5 thru 14 she will have ten 10s
15 - 24 she will have ten 20s
25 - 34 she will have ten 30s
.
.
.
.
.
85 - 94 she will have ten 90s
95 - 100 she will have six 100s
So.....her sum is
10 [10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90] + 6 [100]
10 [ (10) (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9) ] + 6[100]
10 (10) [ sum of the first nine positive integers ] + 6 [ 100]
100 [ (9)(10) / 2 ] + 6[100]
100 [ 45] + 6[100]
100 [ 45 + 6 ]
100 [ 51 ]
5100
Hence, The positive difference is 5100 - 5050 = 50
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Describe and correct the error in solving the equation for x.
[tex]\frac{10 +3b}{a} =x[/tex]
Step-by-step explanation:By manipulating equations, we can solve for different variables.
Error
The error in the equation is in the factoring. In the second line, the x is factored out of the expression; however, this cannot be factored. Factoring is like dividing. When you factor x out you divide the terms by x. Since there is not an x in 3b, x cannot be factored out.
A correct version of factoring looks like:
ax - 3bx + 2cx = x (a - 3b + 2c)Correction
Now, we can go back to the beginning and solve for x correctly using the properties of equality. First, rewrite the equation.
10 = ax - 3bThen, add 3b to both sides.
10 + 3b = axFinally, divide by a.
[tex]\frac{10 +3b}{a} =x[/tex]This is the final, correct equation solved for x.
Multiply the following polynomials. Write the simplified answer in descending order. Use the ^ (shift + 6) to indicate exponents.
DO NOT add spaces between any numbers or characters. For example: (x+2)(x+3) = x^2+5x+6.
(3xy - 1)(4xy + 2)
Answer:
12x^2.y^2 + 2xy - 2
Step-by-step explanation:
I put the dot so you don't get confused thinking it is 2y. Tell me if I misinterpreted the question
how many ways are there for eight men and five women to stand in a line so that no tow women stand right next to each other
In 609638400 ways eight men and five women can stand in a line so that no two women stand next to each other.
What is meant by Permutation?An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are organized in a linear or sequential manner. The permutation of the set A=1,6 is 2, for instance, 1,6, and 6,1. There is no alternative way to organize the components of set A, as you can see.
In contrast to combination, where the order of the parts is irrelevant, permutation calls for a specific arrangement of the elements in many ways.
We genuinely wonder how the timetables of trains, buses, and airlines are set up in accordance with the convenience of the general population. Of course, the permutation is quite useful in planning the departure and arrival timetables for these.
How to solve?
For 8 men in a line: 8! = 40320
In order to separate 2 women, we have to choose 5 out of 9
C(9,5) = 9! / 5!4! = 126
Random place 5 women in the 5 chosen places: 5! = 120
Total ways= 40320 * 126 * 120 = 609638400
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Surface Area =
A. 52 in2
B. 78 in2
C. 45 in2
Answer:
78 in² (Choice B)
Step-by-step explanation:
Since they have exploded the 3-D cuboid into 2-D, it is easier to compute
Looking at the 2-D version you can see 4 rectangles each 3" x 5"
At the bottom on each side are 2 squares each 3" x 3"
Area of a rectangle = l x w
In this case, area of each rectangle = 3 x 5 = 15
Since there are 4 rectangles, total area of these four = 4 x 15 = 60 in²
Each square is area 3" x 3" = 9"
Since there are 2 such squares, total area of these two = 9 x 2 = 18in²
Total area of the 2-D blowup which is the same as the Surface Area of the prism = 60 in² + 18in² = 78 in²
find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 40. b) 48. c) 56. d) 64.
With any of the six correct integers, there is a 0.35 percent probability of not winning the lottery.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
So, considering that n is 40:
n = 40 as a positive integer
Probability of not choosing any of the six ideal numbers in a lottery:
C(34 , 6)/C(40 , 6)
The likelihood of choosing none of the six correct integers in a lottery:
1344904/3838380
Probability of not winning a lottery with any of the six correct integers:
0.35
Therefore, with any of the six correct integers, there is a 0.35 percent probability of not winning the lottery.
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Correct question:
Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are selected does not matter, from the positive integers not exceeding the given integers. (Enter the value of probability in decimals. Round the answer to two decimal places.)
a) 0.40
b) 0.48
c) 0.56
d) 0.64
e) 0.35
Solve for d -9a-12=12-d
Answer:
d= 24 + 9a
Step-by-step explanation:
– 9a – 12 = 12 – d
by collecting like terms
–9a +d = 12 +12
–9a +d = 24
d= 24 + 9a
Answer:
Step-by-step explanation:
-9a-12=12-d
d=9a+24
Mr. Wright is investing $1 million. He has options with Bank of Munich, Coralbank, and Lone Star Credit Union.
Bank of Munich is willing to pay him an interest rate of 2% on up to $250,000 of his money, and 1.25% on everything beyond that point.
Coralbank is providing him an interest rate of 3% on the first $500,000 he invests with them and 1% on whatever else he invests beyond that point.
Lone Star Credit Union is offering an interest rate of 1.75% on all funds invested with them.
Mr. Wright plans to leave whatever funds he invests in the account for 15 years.
ROUND ALL ANSWERS TO THE NEAREST TEN THOUSAND AND DO NOT USE COMMAS IN YOUR RESPONSE.
How much money should Mr. Wright expect to have after 15 years if he invests all of his funds with Coralbank?
How much money would he have if he invests everything with Bank of Munich for the full 15 years?
If he plans carefully and invests his funds to gain the maximum amount of interest across all three institutions, how much money will he have in each bank
after 15 years?
Bank of Munich:
Coralbank
Lone Star Credit Union:
In Coralbank $ 1,359,468.19 and In Bank of Munich $ 1,240,088.97
What is Interest?The fee you pay to borrow money or the fee you charge to lend money is called interest. The most common way to represent interest is as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
Given:
Coralbank is providing him an interest rate of 3% on the first $500,000 he invests with them and 1% on whatever else he invests beyond that point.
So, After 15 years
First, convert R as a percent to r as a decimal
r = R/100
r = 3/100
r = 0.03 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 500,000.00[tex](1 + 0.03/1)^{(1)(15)[/tex]
A = 500,000.00[tex](1 + 0.03)^{(15)[/tex]
A = $778,983.71
and, for Another $500,000
A = P[tex](1 + r/n)^{nt[/tex]
A = 500,000.00 [tex](1 + 0.00/1)^{(1)(15)[/tex]
A = 500,000.00 [tex](1 + 0.01/1)^{(1)(15)[/tex]
A = $580,484.48
Total he Invests= $ 1,359,468.19
and, Bank of Munich is willing to pay him an interest rate of 2% on up to $250,000 of his money, and 1.25% on everything beyond that point.
Then solve the equation for A
r = R/100
r = 2/100
r = 0.02 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 250,000.00[tex](1 + 0.02/1)^{(1)(15)[/tex]
A = 250,000.00 [tex](1 + 0.02)^{(15)[/tex]
A = $336,467.08
and, for Another $750,000 .
A = P[tex](1 + r/n)^{nt[/tex]
A = 750,000.00[tex](1 + 0.0125/1)^{(1)(15)[/tex]
A = 750,000.00 [tex](1 + 0.0125)^{(15)[/tex]
A = $903,621.89
Total he Invests= $ 1,240,088.97
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The regular price of a sweater is $32. For a sale, the price of the sweater is marked down 30%. What is the sale price of the sweater?
Answer: $22.40
Step-by-step explanation:
30% of 32, or 0.3(32) is equal to 9.6. Then you have to subtract that amount, which is 32 - 9.6, which then gets us to 22.40.
Determine the factors of x2 + 4x - 12.
Answer:
(x+6)(x-)
Step-by-step explanation:
every fifth adult entering an airport is checked for extra security screening. what sampling technique is used?
It belongs to isometric sampling or systematic sampling in every fifth adult entering an airport is checked for extra security screening.
What is systematic sampling?
Systematic sampling is a type of probability sampling method in which sample members from a larger population are selected according to a random starting point but with a fixed, periodic interval. This interval, called the sampling interval.
Security workers at an airport randomly choose one of the first 50 people to pass through a checkpoint for extra security screening.
After that person, they choose every 50th person who passes through for extra screening as well
By the topic
The sampling interval is 50, which is periodic.
It belongs to isometric sampling or systematic sampling.
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If I buy a new video game set that is originally $40, how much will I save if they are 40% off?
Answer: $16 dollars
Step-by-step explanation: 40% of 40 is 16 so you save $16. Game would now cost $24.
the teacher orders tights for the dance class. She buys as many tights as there are students. What equation can solve the amount of tights needed.
The equation that can be solve to know the amount of tights needed is c = 20p.
What equation can solve the amount of tights needed?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
Since the teacher orders 20 tights for the dance class and she buys as many as p tights as there are students.
The equation will be illustrated thus:
Let total amount be c
c = 20 × p
c = 20p
The equation is c = 20p.
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Complete question
A teacher orders 20 tights for the dance class. She buys as many as p tights as there are students. What equation can solve the amount of tights needed?
if someone tossed a fair coin in the air three times and it came up heads all three times, what is the likelihood that it will come up heads on the fourth try?
The probability that the coin will come up heads on the fourth try is 1/2.
Given,
If a fair coin were tossed three times and each time it landed on its head.
We have to find the probability that it will come up heads on the fourth try;
Here,
Coming up short in the first three of four attempts.
The probability will not depend on the first three occurrences in the fourth try.
Consequently, the likelihood of winning the fourth time will be as follows:
Desired outputs as a percentage of overall output
=> 1 / 2
Hence,
The probability of the coming head in the fourth time is 1/2 because the coming head in the fourth time is independent of the coming head in the first three times.
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78. the probability that a marksman will hit a target each time he shoots is 0.89. if he fires 15 times, what is the probability that he hits the target at most 13 times?
The probability that the marksman will hit the target 13 times is 0.279.
Here, we are given that the probability that a marksman will hit a target each time he shoots is 0.89.
Thus, the probability that he will not hit the target = 1 - 0.89 = 0.11
Here, we can use the concept of binomial distribution to find the probability.
There are a total number of 15 trials, thus, n = 15
Success ⇒ marksman hits the target
Probability of success ⇒ p = 0.89
Failure ⇒ marksman fails to hit the target
Probability of failure ⇒ q = 0.11
Number of successful outcomes required ⇒ x = 13
Now, according to the formula for calculating binomial probability-
P(x) = [tex]nCx *p^{x} *q^{n-x}[/tex]
P(x) = [tex]15!/(13!*2!) *(0.89)^{13} *(0.11)^{2}[/tex]
P(x) = (15*14/2) (0.2198) (0.0121)
P(x) = 105* 0.0026
P(x) = 0.279
Thus, the probability that the marksman will hit the target 13 times is 0.279.
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Multiply: (9x + 8) (3x² + x − 1)
O 27x³ + 9x² - 8
O 27x³ + 33x² + 17x + 8
O 3x² + 10x + 7
O 27x³ +33x² - x - 8
Answer:
[tex]\textsf{D)} \quad 27x^3+33x^2-x -8[/tex]
Step-by-step explanation:
Given expression:
[tex](9x+8)(3x^2+x-1)[/tex]
Distribute the parentheses:
[tex]\implies 9x \cdot 3x^2+9x \cdot x+ 9x \cdot (-1) + 8 \cdot 3x^2 + 8 \cdot x +8 \cdot(-1)[/tex]
Simplify:
[tex]\implies 27x^3+9x^2-9x + 24x^2 + 8x -8[/tex]
Collect like terms:
[tex]\implies 27x^3+9x^2+ 24x^2-9x + 8x -8[/tex]
Combine like terms:
[tex]\implies 27x^3+33x^2-x -8[/tex]
Solve each inequality. Use the number line provided to test intervals.
Thank you!! :)
Answer:
[-2, 2/5] ∪ [2, ∞)
Step-by-step explanation:
You want the solution to the inequality 7x³ -20x +11 ≥ 2x³ +2x² +3.
FactorsThe inequality can be rewritten to a comparison with zero by subtracting the right-side expression.
7x³ -20x +11 -(2x³ +2x² +3) ≥ 0
5x³ -2x² -20x +8 ≥ 0 . . . . . . . simplify
x²(5x -2) -4(5x -2) ≥ 0 . . . . . . factor pairs of terms
(x² -4)(5x -2) ≥ 0 . . . . . . . . . . remove common factor
(x -2)(5x -2)(x +2) ≥ 0 . . . . . factor difference of squares
IntervalsThe values of x that make this product equal to zero are
x -2 = 0 ⇒ x = 2
5x -2 = 0 ⇒ x = 2/5
x +2 = 0 ⇒ x = -2
These x-intercepts divide the domain into 4 intervals where we need to check the sign.
From left to right:
(-∞, -2)
Using x = -3, we find the product to be ...
(-3 -2)(5(-3) -2)(-3 +2) = (-5)(-17)(-1) = -85, less than 0
[-2, 2/5]
Using x = 0, we find the product to be ...
(0 -2)(5·0 -2)(0 +2) = (-2)(-2)(2) = 8, part of the solution
(2/5, 2)
Using x = 1, we find the product to be ...
(1 -2)(5·1 -2)(1 +2) = (-1)(3)(3) = -9, less than 0
[2, ∞)
Using x = 3, we find the product to be ...
(3 -2)(5·3 -2)(3 +2) = (1)(13)(5) = 65, part of the solution
The solution to the inequality is [-2, 2/5] ∪ [2, ∞).
__
Additional comment
The function we're comparing to zero is a cubic with a positive leading coefficient. That means the general shape of its graph is /, negative on the left and positive on the right.
The graph changes sign at each of the zeros, so we already know the curve is positive between the left two x-intercepts, and to the right of the rightmost x-intercept. We just need to define the intervals so the zeros themselves are included in the solution set.
Joey is considering two bowling membership plans. The plans are detailed here. Plan 1: $30 for a monthly pass and a $3 fee for each bowling visit Plan 2: $10 for each bowling visit Select the equation for Plan 1.
y = -10
y = 10x
y = 30x +3
3x+30
Answer:
This equation represents Plan 1, since it shows that the cost to join the plan is $30 and the cost for each bowling visit is $3.
Step-by-step explanation:
Answer: 3x + 30
Step-by-step explanation: the $3 fee depends on how many times joey goes bowling so it will be 3x + the flat $30 per month
Which graph matches the following system of equations?
in preparation, you identify all possible outcomes and the probability of each outcome. which approach to negotiation are you using? game theory individual differences cognitive approach situational characteristics
By identifying all possible outcomes and the probability of each outcome the negotiation used here is Game theory.
The study of mathematical models of strategic interactions between rational beings is known as game theory and it has uses in computer science, logic, systems science, and all branches of social science.
The most well-known application of game theory is The Prisoner's Dilemma for instance take two offenders who were detained following an arrest as an example. The prosecution lacks concrete proof to prove their guilt. Officials, however, take the inmates out of their isolation cells and question each one separately in order to extract a confession.
The area of mathematics known as "game theory" is concerned with the analysis of such games. Classical game theory and combinatorial game theory are the two primary subfields of game theory. Traditional game theory examines games where participants can move, wager, or strategize all at once.
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what was the major flaw in the stanford prison experiment? group of answer choices zimbardo did not use a control group. the respondents wanted to leave, but zimbardo would not let them. the students were not randomly assigned. the study went on too long.
The answer is (a) Zimbardo did not use a control group.
The stanford prison experiment was a two week simulation of a prison environment that examined the effect of situational variables on participants reactions and behaviors.
The Stanford prison experiment, one of the most famous and compelling psychological studies of all time.
The major flaw in the research design of the Stanford prison experiment was that the Zimbardo did not use a control group.
A control group is used to establish a cause-and-effect relationship by isolating the effect of an independent variable. A control group was necessary to study a particular variable in prison. He had no alternative group to compare to measure the results of the experiment.
A control group in an experiment does not receive the treatment. Instead, it serves as a comparison group for the treatments.
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melissa makes bracelets at a constant rate. she spends 45 minutes making 25 bracelets. which equation describes the relationship between the time in minutes she spends making bracelets, t, and the total number of bracelets she makes, n?
Answer:09.8990
Step-by-step explanation: take one and add
Help solve the proportion
Answer: 9
Step-by-step explanation:
Apply the ditributive property to factor out the greatet common factor. 60 − 40 y =
The factors by applying distributive property out the greatest common factor is 20(3 - 2y).
Define the term greatest common factor?The largest of these shared factors is the greatest common factor of the two integers.For the stated equation;
= 60 − 40 y
Do the prime factorization of the both numbers-
60 = 2×2×3×5
40 = 2×2×2×5
Thus, the greatest common factor from both numbers is-
2×2×5 = 20
Taking 20 common from both terms in equation-
Using distribute property;
= 20(3 - 2y)
Thus, factors by applying distributive property out the greatest common factor is 20(3 - 2y).
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convert 6 yards 5 feet to inches
(conversion factors) 12 inches = 1 foot; 3 feet + 1 yard
NEED HELP ASAP PLEASE
Answer:
276 inches
Step-by-step explanation:
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What i the point-lope from the line with lope -1/4 that pae through the point (-2,9)
The equation of the line in point slope form is y = -1/4x + 17/2.
Define the term point slope form?A line's equation written using a single point mostly on line and the line's slope is referred to as the point-slope form. The slope is really the rise over distance, or the proportion of the change there in y values over change in the x values, and the point form is denoted as (x,y).The slope of the equation of the line is given as;
slope m = -1/4
Passing point = (-2,9)
Equation of the line;
y - y1 = m(x - x1)
y - 9 = -1/4(x + 2)
y = -1/4x -1/2 + 9
y = -1/4x + 17/2
Thus, the equation of the line in point slope form is y = -1/4x + 17/2.
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does someone know this?
Multipluy the equations i think...
What is the circumference in terms of pi for a circle with a area 81?
Answer:
C≈31.9
Step-by-step explanation: