The slope of the line that passes through given points is -0.87. Option B is the correct answer.
In mathematics, slope is usually defined by the letter "m" and includes the change in y coordinate (vertical change) divided by the change in x coordinate (horizontal shift) between two points on a line.
We know that slope of a line that passes through two points is :
slope, \(m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)
The given points are (-3.9,4.1) and (5.5,-4.1).
y2 = -4.1
y1 = 4.1
x2 = 5.5
x1 = -3.9
Substituting all these values in the above equation we get,
slope, \(m = \frac{-4.1 - (4.1)}{5.5 - (-3.9)}\)
m = -8.2 / 9.4
m = -0.87
So, the slope of the line formed by given points is -0.87. Therefore , option B is correct answer.
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I need help with this question
Answer:
option B 4√5 is the correct answer of this question .
plz mark my answer as brainlist plzzzz if you find it useful.
Hope this will be helpful to you ☺️.
Answer:
B
Step-by-step explanation:
easy
2x5 is 10, 3x5 is 15
15+10 = 25
25-5 = 20
4x5=20
You flip a coin 100 times and record that 48 are heads and 52 are tails. What is the relative frequency or experimental probability of landing on heads?
whats the percentage
As a result, the experimental probability of landing on heads is 48%, probability which means that we should expect heads approximately 48 times out of 100 coin flips.
What is probability?Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating an unlikely event and 1 indicating an unavoidable event. Because there are two equally likely outcomes, switching a fair coin and coin flips has a probability of 0.5 or 50%. (Either heads or tails). Probability theory, a branch of mathematics, is concerned with the investigation of random events rather than their properties. It is used in a variety of fields, including statistics, finance, science, and engineering.
The following formula can be used to calculate the relative frequency or experimental probability of landing on heads:
Number of Heads / Total Number of Flips = Experimental Probability of Heads
The number of heads in this case is 48, and the total number of flips is 100. Therefore,
Heads Experimental Probability = 48 / 100 = 0.48
We can multiply this by 100 to get a percentage:
Heads Experimental Probability = 0.48 * 100 = 48%
As a result, the experimental probability of landing on heads is 48%, which means that we should expect heads approximately 48 times out of 100 coin flips.
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Which of the following is the graph of y=-(x-2)³-5?
-5-4-3-2-1
-5-4-3
S
-2+
-3
? 4
-4
-5
997
-6
-7
-8.
-9
& co
-10
1 2 3 45 x
1
2345
X
Answer:
Step-by-step explanation:
I cannot see the graphs.
Which of the following graphs is the inverse of f(x) = x2 + 4?
Answer:
Step-by-step explanation:
22. How many positive integers less than 1000 a) are divisible by 7? b) are divisible by 7 but not by 11? c) are divisible by both 7 and 11? d) are divisible by either 7 or 11? e) are divisible by exactly one of 7 and 11? f ) are divisible by neither 7 nor 11? g) have distinct digits? h) have distinct digits and are even?
The set of positive integers less than 1000 that are:
a)Divisible by 7 are 142
b)Divisible by 7 but not by 11 are 130
c)Divisible by both 7 and 11 are 12
d)Divisible by either 7 or 11 are 220
e)Divisible by exactly one of 7 and 11 are 220
f)Divisible by neither 7 nor 11 are 780
g)Having distinct digits are 576
h)Having distinct digits and even are 337
We have,
A whole number that is greater than zero is known as positive integer
a)The positive numbers below 1000 that are divisible by 7 are 7, 14, 21, 28,..., 994.
Total terms: 994, divided by 7, plus (n-1)
There are 142 total terms below 1000 that are divisible by 7.
b) The numbers 77, 154, 231, 308, 385, 462, 539, 616, 693, 770, 847, and 924 are all divisible by both 7 and 11.
The total number of integers below 1000 that are divisible by 7 but not 11 therefore equals 142 - (total number of integers divisible by 7 and 11), which means that the total number of integers that fall into this category is 130.
c) The total amount of integers that can be divided by both 7 and 11 equals the total amount of integers that can be divided by 77.
There are 12 total integers below 1000 that can be divided by 77.
d) The total number of integers that can be divided by either 7 or 11 is equal to the sum of the numbers that can be divided by each of those numbers and the number that can be divided by 77.
The total number of integers below 1000 that are divisible by 11 is (11,22,33,...,990). 990 = 11 + (n-1) 11, which equals 90 integers.
Total integers that may be divided by both 7 and 11 are equal to 142 + 90 - 12 = 220.
e) The total number of integers that may be divided by either 7 or 11 perfectly is equal to 142 + 90 - 12 = 220 numbers.
f) The total number of integers that cannot be divided by either 7 or 11 is 1000 - (The total number of integers that can be divided by either 7 or 11), which is 1000 - 220 = 780 numbers.
g)Distinct digits from 1 to 100 = 100 - Total number of integers below 1000 with distinct digits = 1000 - (non-distinct digits) ( 11,22,33,44,55,66,77,88,99,100),
=> Unique digits from 1 to 100 equal 90.
=> The distinct numerals 101 to 200 equal 100. (101,110,111,112,113,114,115,116,117,118,119,121,122,131,133,141,144,151,155,161,166,171,177,181,188,191,199,200),
=> Unique digits from 101 to 200 are: 100 to 28, 72.
=> Unique numbers between 201 and 1000 = 72 x 8 = 576.
h)Different digits and even values equal to 337
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6. A high school graduate works fulltime. She needs to borrow $1,500 to
attend the local junior college, but she won't be able to pay it back for
2
years. Calculate how much she will have to pay back with these two
loan plans. Which plan should she choose? Justify your answer,
Bank A: Simple interest, 18 percent per year
Bank B: Compound interest, 12 percent per year
Answer:
I think you would have to multiply 1,500 by 12 and also by 18 to figure it out.
Step-by-step explanation:
" "
What is this answer need reply ASAP
Answer:
how many boxes is the line on
The Ozzie Chocolate Company is preparing to offer a new product in its candy offerings, the Minty Dark Chocolate Bite bar. Material costs per new candy bar are
$0.25 for chocolate, $0.02 for sugar, and $0.03 for mint flavoring. Labor costs of the new product are approximately $0.15 per bar. Adding a production line devoted to the new candy will cost $250,000 per year.
(a) If the sales price is $1.40 per candy bar, how many must the company make per year in order to break even? Assume that each bar made is sold at full price.
(b) What is the company's profit or loss if they make and sell 270,000 candy bars at the $1.40 price in the first year?
(c) About 20% of the food consumed in the U.S. is imported. Production in many industries has been offshored. What ethical issues do companies face when presented with the decision to move operations?
Answer:
a) 263,158
b) $164,500
c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
Step-by-step explanation:
a)
Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000
Total revenue = 1.40x
Setting the two equations equal to each other and solving for x, we get:
(0.45)x + 250,000 = 1.40x
0.95x = 250,000
x ≈ 263,158
b)
If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:
270,000 * $1.40 = $378,000
The total cost of producing 270,000 candy bars is:
(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500
Therefore, the company's profit is:
$378,000 - $213,500 = $164,500
c)
Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...
the volume of a pyramid is given by the formula V=1/, where B is the area of the base and h is the height?
Answer:
Step-by-step explanation:
The volume of this pyramid in cubic inches is 16.
Given that,
The base and height is 8 and 6.
Based on the above information, the calculation is as follows:
The volume is
= 16
The graph below could be the graph of which exponential function?
||||
5
5
The graph could be the graph of exponential function of option b)
\(F(x) = 2 • (0.5)^{x} \)
The general form of an exponential function is
\(f(x) = {ab}^{x} \)
Here, a is the function's starting value and b is its growth factor.
F(x) is an increasing function if b > 1, and if b<1, then f(x) is a decreasing function
The function's initial value is 2 as can be seen from the provided graph. Therefore, a has a value of 2.
Given that the graph indicates that the function is decreasing, b must be less than 1.
It indicates that the necessary function is in the form of
\(f(x) = 2(b)^{x} \)
Where it is b<1
By checking option B, b=0.5<1. Hence, option B is the correct answer
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Note that the full question is:
(check the attached image)
Express 1.3 as a percent
Helpppp
Answer:
130%
Step-by-step explanation:
Answer:
130%
Step-by-step explanation:
Multiply by 100
1.3 x 100%= 130%
You are using a magnifying glass that shows the image of an object that is six tin image of the termite seen through the magnifying glass. 9.5 mm The image length through the magnifying glass is millimeters.
When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.
When using a magnifying glass, the image of an object appears larger. In this case, the termite is being viewed through a magnifying glass that magnifies the image by a factor of six. The actual length of the termite is not mentioned in the given information. However, it is stated that the length of the image seen through the magnifying glass is 9.5 mm.To determine the actual length of the termite, we can divide the length of the image by the magnification factor. Therefore, the actual length of the termite would be 9.5 mm divided by 6, which is approximately 1.58 mm.Therefore, when viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.For more questions on magnifying glass
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18+ 4(28) use the properites of operations to evaluate this expressions?
The value of the expression 18 + 4(28) will be 130.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 18 + 4(28)
Simplify the expression, then the value of the expression will be
⇒ 18 + 4 x (28)
⇒ 18 + 4 x 28
⇒ 18 + 112
⇒ 130
Thus, the value of the expression 18 + 4(28) will be 130.
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Given g(x) = -x-2,find g (1)
Please helpppp asap
Answer:
-3
Step-by-step explanation:
g(x) = -x-2 is the function.
Plug in 1 for x.
g(x) = -1-2
g(x) = -3
If you answer these questions correctly you are really smart. What is 2+2*2, what is 3+3*3, what is 6+6*6.
The value of the numbers that are given will be:
1. 6
2. 12
3. 42
How to calculate the value?It should be noted that based on the information given, PEDMAS is important. This implies that multiplication will come first before addition. This will be illustrated thus:
1. 2 + 2 × 2
= 2 + 4
= 6.
2. 3 + 3 × 3
= 3 + 9
= 12
3. 6 + 6 × 6
= 6 + 36
= 42..
Therefore, it should be noted that we multiplied first before adding.
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Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
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Room A has an area of 198 square feet and Room B has an area of 300 square feet. Both of the square rooms are square in shape. which ratio is closest to the ratio of the length of a side of Room A to the length of a side of Room B?
A. 14:17
B. 198:300
C. 99:150
D. 14:16
And how do you calculate/ do this
Here, we are required to determine the ratio closest to the length of a side of Room A to the length of a side of Room B.
The ratio which is closest to the ratioof the length of Room A to the length of a side of Room B is 14:17. The answer is Choice A.
The area of a square is ; A = L²
where L = the length of a side of the square.
Length, L = √A
As such;
Therefore, the length of a side of Room A is; L(a) = √198 = 14.07feetAnd, the length of a side of Room B is; L(ab) = √300 = 17.32feetConsequently, the approximate length of Room A and Room B are 14 and 17 respectively.
Therefore, the ratio which is closest to the ratioof the length of Room A to the length of a side of Room B is 14:17.
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tom paid $1,166.40 for a new refrigerator, including $86.40 tax. What was the price of the refrigerator?
Answer: 1,080 dollars
Step-by-step explanation: Start with your initial value of $1,166.40 then subtract $86.40 to get $1,080.
Six friends, four boys and two girls, went to a movie theater. They wanted to sit in a way so no girl sits on either first or last chair. How many such arrangements are possible?
Answer:
120 ways
Step-by-step explanation:
Since no girl wil sit either first or last
Hence, in all irrespective whether boy or girl = (6 - 1)! = 5! = 5 X 4 X 3 X 2 = 120
∴ Number of arrangements = 120 ways
Answer:
288
Step-by-step explanation:
Dont have time to say anything, in a test, but trust me. I got it correct.
a store is selling laptops with six different operating systems. a company would like to buy 35 of those laptops for their employees. in how many ways can this company buy them?. show all your work step by step to get credit. final answers must be provided in decimal form
On solving the provided question, based on the information, we can say that there are 35 X 6 = 210 ways
What are combinations?Combining means selecting all or part of a set of objects, regardless of the order in which the objects are selected. Suppose we have a set of three characters.
\(^nC_{r} = \frac{n!}{r!(n - r)!}\)
ways can this company buy them are - 35 X 6 = 210 ways
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Ben wanted a glass of milk. What shape would he pour milk into?
A cone Or a cylinder?
Perform the indicated operation:
(4 + 2i) (1 + 5i)
-6 +22i
6-221
-14 + 18i
6+22i
Answer:
-235+84i
Step-by-step explanation:
I hope this is what you were looking for.
Michael was 1.0 metres tall, and could
only reach up to the 1st floor lift button. .
From the 1st floor, he had to walk up 100
steps to reach the 6th floor.
Vinh was 1.4 metres tall, and could reach
the 5th floor button. He had to walk up
20 steps to reach the 6th floor.
Lucy was 1.1 metres tall. To reach the
6th floor, how many steps did she have to
walk up?
Answer:
Lucy must walk up 80 steps to reach the 6th floor.
Step-by-step explanation:
Since Michael was 1.0 meters tall, and could only reach up to the 1st floor lift button, and from the 1st floor, he had to walk up 100 steps to reach the 6th floor; while Vinh was 1.4 meters tall, and could reach the 5th floor button, and he had to walk up 20 steps to reach the 6th floor; If Lucy was 1.1 meters tall, to determine how many steps did she have to walk up to reach the 6th floor, the following calculation must be performed:
1 = 100
1.4 = 20
1.4 - 1 = 100 - 20
0.4 = 80
0.1 = X
0.1 x 80 / 0.4 = X
20 = X
100 - 20 = 80
Therefore, Lucy must walk up 80 steps to reach the 6th floor.
In October 2017 a pound of apples cost $1.55, while oranges cost $1.19. Two years earlier the price of apples was only $1.34 a pound and that of oranges was $1.05 a pound. What was the annual compound rate of growth in the price of apples
The annual growth rate in the price of the apple will be 7.83%.
What is the growth rate?
The growth rate is defined as the increment of any quantity over a period of time.
Given that:-
In October 2017 a pound of apples cost $1.55, while oranges cost $1.19.Two years earlier the price of apples was only $1.34 a pound and that of oranges was $1.05 a pound.The growth rate will be calculated as::-
Growth rate = Cost in 2017 / Cost in 2015
Growth rate = 1.55 / 1.34 = 1.15
The growth rate will be 15.67% for the apple in 2 years so for 1 year it will be
15.67 / 2 = 7.8%
Therefore the annual growth rate in the price of the apple will be 7.83%.
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\(2(\frac{1}{2} ) / 3(\frac{3}{5} )\)
after a deposit of $100, a withdrawal of $125, and a deposit of $24, the balance in a savings account was $27.28. what was the balance of (b) before the deposits and withdrawal?
Let the total amount of money in the account before withdrawal or deposit of funds be x
so that for every withdrawal we subtract from x and add for a deposit and equate this to the balance after withdrawal and deposits
x + 100 -125 + 24 = 27.28
x = 27.28+125-24-100
x= $28.28
Balance before deposits or withdrawal = $28.28
Help! I’ll mark brainlest :) asap
Answer:
G ) is the incorrect one
Step-by-step explanation:
n and m are parrallel they will never touch or come close to becoming penperdicular .
find the area of the parallelogram
Answer:
A=base×height
A=20×60
A=1,200yd
si ABCD son los vertices de un cuadrado y A(2,2) y C (10,8) 2 vertices opuestos. Hallar los otros dos vertices, dar como respuesta la mayor de las ordenadas
The area of the square is given as 100 square unit
How to determine the area of square?You should be aware that the square has all its sides equal
The perpendicular from opposite vertices represent distance
The given vertices are
(2,2) and (10,8)
Using the formula for distance between two points
d=√(10-2)²+(8-2)²
d=√8²+6²
d = √64+36
d=√100
This implies that d=10
The area of a square is given as s²
Area = 10²
Atrea = 100 square units
In conclusion, the area of the square is 100 square units
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Translated question:
The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square
In the expression if 2X=5=8X then 12X= ? you subtract 2X from each sideto get 5=6X then multiply both sides by 2
Why do you multiply both sides by 2
The value of 12x in the expression is 10
You multiply 5 = 6x by 2 to get 12x
From the question, we have the following parameters that can be used in our computation:
2x + 5 = 8x
You subtract 2X from each side to get
5 = 6x
Then multiply both sides by 2
This gives
10 = 12x
So, we have
12x = 10
Why do you multiply both sides by 2
You multiply by 2 because the question requests for the value of 12x
Since, we have solved for 6x, the next step is to multiply 6x by 2 to get 12x
i.e. 6x * 2 = 12x
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