What is the equation of the line that passes through (0, -2) and has a slope of 0?
Answers
Answer:
y = -2
Step-by-step explanation:
The horizontal line through this point has a slop of 0
Related Questions
Identify the names of all inference rules for each steps of the following arguments: H1:→→c H2: c→ t H3: -t ...r Select an option ct Select an option vnt Select an option C Select an option v-r - c Select an option V Select an option T יןרר A. Modus Tollens (c,d) B. H1 C. Double negation (e) D. Modus Tollens (a, b) E. H2 F. H3 H1:- → c H2: c→ t H3: -t Select an optionc t Select an option C -p - c Select an option Select an option PEUCER ורר T Choose a valid conclusion for the following statements. P. r. rq. Op Oq p Note: Clicking any button other than the Save Answer button will NOT save any changes Opq Or
Answers
For the given arguments:Argument 1H1: →→cH2: c→ t H3: -tThe inference rules used for each step are as follows:Step 1: H1 (Assumption/Given)Step 2: Modus Ponens (H1, H2) or → Elimination (H1, H2) to infer cStep 3: Modus Tollens (H3, Step 2) or ¬ Elimination (H3, Step 2) to infer ¬c
The names of the inference rules used are:
Step 1: Given or Assumption
Step 2: Modus Ponens or → Elimination
Step 3: Modus Tollens or ¬ Elimination
Argument 2:
H1: - → c
H2: c→ t
H3: -t
The inference rules used for each step are as follows:
Step 1: H1 (Assumption/Given)
Step 2: Modus Tollens (H3, H2) or ¬ Elimination (H3, H2) to infer ¬c
Step 3: Double Negation (Step 2) to infer c
The names of the inference rules used are:
Step 1: Given or Assumption
Step 2: Modus Tollens or ¬ Elimination
Step 3: Double Negation
to know more about Modus Ponens, visit
https://brainly.com/question/27990635
#SPJ11
Suppose Kristen is researching failures in the restaurant business. In the city where she lives, the probability that an independent restaurant will fail in the first year is 51%. She obtains a random sample of 84 independent restaurants that opened in her city more than one year ago and determines if each one had closed within a year. What are the mean and standard deviation of the number of restaurants that failed within a year? Please give your answers precise to two decimal places.
Answers
Answer: Mean = 42.84
Standrad deviation = 4.58
Step-by-step explanation:
Given: The probability that an independent restaurant will fail in the first year : p = 51% = 0.51
Sample size: n= 84
Since restaurant as two possible outcomes either fail or succeed. So it is a binomial problem.
Mean = np = (84)(0.51) =42.84
Standard deviation = \(\sqrt{np(1-p)}=\sqrt{(84)(0.51)(1-0.51)}\)
\(=\sqrt{(84)(0.51)(0.49)}\\\\=\sqrt{20.9916}\approx4.58\)
Hence, Mean = 42.84
Standrad deviation = 4.58
Taylor bought a watch onsale for 60% off the originalprice, and another 10% off thediscounted price. If the watchoriginally cost $82, what wasthe final sale price?
Answers
Original Cost - $82
First part: Apply the 60% off discount
Convert first the 60% into decimal form
60% ÷ 100% = 0.6
Multiply it to the original cost to determine the discount
$82 ˣ 0.6 = $49.2
Subtract the discount to the original price, to determine the discounted price.
$82 - $49.2 = $32.8
Second part:
The discounted price is now $32.8 for which we will apply another 10% discount.
Again, convert 10% into decimal
10% ÷ 100% = 0.1
Multiply it to the discounted price, to determine the second discount.
$32.8 ˣ 0.1 = $3.28
Subtract the discount to the already discounted price.
$32.8 - $3.28 = $29.52
Therefore, the final sale price of the watch is at $29.52.
write a coordinate proof to prove that an arrowhead that is 3 inches long and 1.5 inches wide is an isosceles triangle. (5 points)
Answers
Answer:
(8,2), (12,2),(10,10)
Step-by-step explanation:
any coordinate that means the two sides will have the same length
first, we know that the length is twice the amount of the width
so any coordinate we pick must be twice the length
pick a coordinate that is quite high up ( so we don't get into negatives)
so let's say (10,10)
then we want to go a positive number down - don't want to deal with fractions.
so e.g 8
so 6 down would be (10,2)
then the width is half the length so it has a 4cm wide base
and put an equal amount on each side to the left and the right to get the base co-ordinates
to the left : (8,2)
plus to the right: (12,2)
2+2= make a 4cm base
put these coordinates together and presto! you have coordinated proofs!
2(x + 10) = -60 solve for x
Answers
Answer:
2x + 20 = -60
-20 -20
2x = -80
Divide by 2 on both sides.
X = -40
Answer:
-40
Step-by-step explanation:
2(x + 10) = -60
step 1 distribute the 2 to the x and 10
2 * x = 2x
2 * 10 = 20
we now have 20 + 2x = -60
step 2 subtract 20 from each side
20 - 20 cancels out
-60 - 20 = -80
we now have 2x = -80
step 3 divide each side by 2
2x / 2 = x
-80 / 2 = -40
we're left with x = -40
Help me please i need you help
Answers
The mean and standard deviation of the data sets are;
a. 60.83, 15.11
b. 44, 4.03
c. 7.2, 3.7
d. 114.4, 10.74
What is mean and standard deviation of data?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
The mean of a data is the average of the data across the points.
a. data set; 35, 50, 60, 75, 65, 80
mean = 60.83
standard deviation = 15.11
b. data set; 51, 48, 47, 46, 45, 43, 41, 40, 40, 39
mean = 44
standard deviation = 4.03
c. data set; 11, 7, 14, 2, 8, 13, 3, 6, 10, 3, 8, 4, 8, 4, 7
mean = 7.2
standard deviation = 3.7
d. data set; 135, 115, 120, 110, 110, 100, 105, 110, 125
mean = 114.4
standard deviation = 10.74
Learn more on mean and standard deviation here;
https://brainly.com/question/4079902
#SPJ1
9. a __ is the set of all points (x, y) in a plane, for which the difference of the distances from two distinct fixed points is a positive constant.
Answers
A conic section is the set of all points (x, y) in a plane where the difference of the distances from two distinct fixed points is a positive constant. This geometric shape is known as an ellipse.
An ellipse can be defined as the locus of points in a plane such that the sum of the distances from two fixed points, called foci, to any point on the ellipse is constant. The first paragraph provides a concise summary of the answer.
The concept of an ellipse can be understood through its definition and properties. When considering two fixed points, known as foci, in a plane, the set of all points where the difference of the distances from these foci is constant forms an ellipse.
The distance between the foci determines the elongation and shape of the ellipse. If the distance between the foci is larger, the ellipse becomes more elongated, while a smaller distance results in a more circular shape. The constant difference of distances from the foci is known as the major axis of the ellipse, and it represents the longest chord that passes through the center of the ellipse.
The minor axis, perpendicular to the major axis, represents the shortest chord passing through the center. The shape, size, and orientation of an ellipse can be determined by its foci and the distance between them, making it a fundamental concept in mathematics and geometry.
Learn more about Ellipse:
brainly.com/question/20393030
#SPJ11
Write as a single power of 5
(5^4)^8
Answers
Factorize a² +3ab - 5ab - 15b².
Answers
Answer:
\(a^2+3\,a\,b-5\,a\,b-15\,b^2=(a-5\,b)\,(a+3\,b)\)
Step-by-step explanation:
Work via factoring by groups:
!) re arrange the terms as follows:
\(a^2-5ab+3ab-15b^2\)
then extract the common factor for the first two terms (a), and separately the common factors for the last two terms (3 b):
\(a^2-5ab+3ab-15b^2\\a\,(a-5\,b)+3\,b\,(a-5\,b)\)
Now notice that the binomial factor (a-5 b) is in both expressions, so extract it:
\(a\,(a-5\,b)+3\,b\,(a-5\,b)\\(a-5\,b)\,(a+3\,b)\)
which is the final factorization.
Answer:
\( \boxed{\sf (a + 3b)(a - 5b)} \)
Step-by-step explanation:
\( \sf Factor \: the \: following: \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf Grouping \: like \: terms, \\ \sf {a}^{2} + 3ab - 5ab - 15 {b}^{2} = {a}^{2} + (3ab - 5ab) - 15 {b}^{2} : \\ \sf \implies {a}^{2} + (3ab - 5ab) - 15 {b}^{2} \\ \\ \sf 3ab - 5ab = - 2ab : \\ \sf \implies {a}^{2} - 2ab - 15 {b}^{2} \\ \\ \sf The \: factors \: of \: - 15 \: that \: sum \: to \: - 2 \: are \: 3 \: and \: - 5. \\ \\ \sf So, \\ \sf \implies {a}^{2} + (3 - 5)ab - 15 {b}^{2} \\ \\ \sf \implies {a}^{2} + 3ab - 5ab - 15 {b}^{2} \\ \\ \sf \implies a(a + 3b) - 5b(a + 3b) \\ \\ \sf \implies (a + 3b)(a - 5b)\)
what is the volume of the rectangle pyramid show below?
Answers
Answer:
Option (3)
Step-by-step explanation:
Volume of a rectangle = \(\frac{1}{3}(\text{Area of the rectangular base)(\text{Height})}\)
Area of the rectangular base = Length × Width
= 7 × 8
= 56 square in.
Height of the pyramid = 9 in.
Therefore, Volume of the given pyramid = \(\frac{1}{3}(56)(9)\)
= 168 cubic in.
Option (3) will be the correct option.
T/F as a leader, jui-en believes that he should change his behaviors to match the circumstances because no one style works all the time. jui-en is applying the FITB approach to leadership
Answers
As a leader, Jui-En tbelieve that he should change his behaviors to match the circumstances because no style works all the time. Jui-En is applying the socialized approach to leadership.
What is a socialized approach to leadership?Employee motivation can be boosted by socialization, affirming reward, lead their vision, offer impressive benefits and encourage the temwork.
Employees who socialize who can sosialized in the workplace can increase their work efficiency because its reduce the work pressure by sharing information and teamwork which is important to thriving a company.
So, the correct answer is sosialized.
Learn more about work behaviours at https://brainly.com/question/3687780
#SPJ4
Curtis has a part time job working for a video game store. He is paid a wage of $8 per hour plus 2% commission of his total sales each week. Write a linear equation that represents his weekly salary S.
Let H = Hours Worked
Let C = Commission earned on total sales
Answers
The linear equation which can be used to represents Curtis weekly salary is S = 8H + 0.02C
Linear equation that represents weekly salaryCurtis wage per hour = $8Percentage commission = 2%H = Hours WorkedC = Commission earned on total salesS = weekly salaryWeekly salary = Curtis wage per hour(Hours Worked) + Percentage commission(Commission earned on total sales)
S = 8(H) + 2%(C)
S = 8H + 0.02(C)
S = 8H + 0.02C
So therefore, Curtis linear equation for his weekly salary is S = 8H + 0.02C
Read more on linear equation:
https://brainly.com/question/4074386
#SPJ1
sum of 3 consecutive even numbers is 18
Please explain step by step with equation
Answers
Answer:
5, 6, 7
Step-by-step explanation:
This question deals with linear equetion.
Let the first no. x , the 2nd one x + 1 and the 3rd no. will be x + 2 .
we have given that 3 consucetive sum are 18 so we write this equetion as
x + x + 1 + x + 2 = 18
3x + 3 = 18
3x = 18 - 3
3x = 15
3x/3 = 15/3
x = 5
so the 1st no. is 5
the 2nd no. is 5 + 1 = 6
the 3rd no. is 5 + 2 = 7
and the no. is 5, 6, 7
A box contains 12 balls of which 5 red, and 7 arw blue, if 4 balls are drawn from the box, in how many ways can this be done of...
A. 1 is red and 3 are blue??
B. all are blue??
C. at least 3 are red??
please help!
Answers
Answer:
B . all are blue
Step-by-step explanation:
at least they will be almost equal . not sure
Evaluate 5 12 × 3 4 Give your answer in its simplest form.
Answers
Answer:
5/16
Step-by-step explanation:
5/12 × 3/4
Multiply.
15/48
Simplify.
5/16
What is the reflection of (-50, -30) across the y-axis?
Answers
Answer:
(50,-30)
Step-by-step explanation:
Reflecting a point across the y axis is just like flipping a page on a book. The x coordinate is flipped and the y coordinate stays the same.
if a is nonzero real number and r is a real number with 0<|r|<1, what is the value of ⎛⎝∑n=0[infinity]arn⎞⎠−⎛⎝∑n=1[infinity]arn⎞⎠ ? 0 0 a a ar a, times r a ar
Answers
Main Answer: the value of ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ is equal to a.
Supporting Question and Answer:
How can we find the sum of an infinite geometric series and apply it to simplify the expression ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠?
To determine the sum of an infinite geometric series, we use the formula
S = a / (1 - r). By applying this formula and simplifying the expression, we can determine that the value of ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ is equal to a.
Body of the Solution:
To find the value of the expression ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠, let's break it down step by step.
First, let's consider the first sum,
∑n=0∞arn:
∑n=0∞arn = a^0r^0 + a^1r^1 + a^2r^2 + a^3r^3 + ...
This is a geometric series with the common ratio of r.
Substituting the values into the sum of the geometric series's formula, we get:
∑n=0∞arn = a / (1 - r)
Next, let's consider the second sum,
∑n=1∞arn:
∑n=1∞arn = a^1r^1 + a^2r^2 + a^3r^3 + ...
This is also a geometric series with the common ratio of r. Similarly,
∑n=1∞arn = a × (r / (1 - r))
Now, let's substitute these values back into the original expression:
⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ = ⎛⎝a / (1 - r)⎞⎠ − ⎛⎝a * (r / (1 - r))⎞⎠
Simplifying this expression:
= \(\frac{(a - ar)}{(1 - r)}\)
= \(\frac{a(1-r)}{(1-r)}\)
= a
Final Answer:
Therefore, the value of ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ is equal to a.
To learn more about the sum of an infinite geometric series and apply it to simplify the expression ⎛⎝∑n=0∞arn⎞⎠−⎛⎝∑n=1∞arn⎞⎠ from the given link
https://brainly.com/question/26255015
#SPJ4
please help!! 20 points if u just comment to take my points or guess i’ll make sure ur account gets banned. thank you!!
Answers
Answer:
I believe it's A and B
Step-by-step explanation:
Find the distance from point A to the given line. Round to the nearest tenth.
A(-4,4), y = 0.8x - 0.4
Answers
Answer:
The parallel equation is y = 0.8x + 6.8
Step-by-step explanation:
The distance from point A(-4,4) from the line y = 0.8x -0.4 is 0.31215.
What is a distance of a point from the line?The shortest path between any two points on an infinite straight line is called the distance from a point to a line. The length of the line segment connecting the point to the closest point on the line is the perpendicular distance between the point and the line.
The given point is A(-4,4), and the equation of the line is y = 0.8x - 0.4. The distance of the point is calculated by the formula written below.
d = (Ax+By+C) / [√(A² + B²)]
The equation is,
y = 0.8x - 0.4
0.8x - y - 0.4 = 0
Ax+By+C
A = 0.8, B = -1 C = 0.4
Substitute the values and solve for distance,
d = (Ax+By+C) / [√(A² + B²)]
d = ({0.8x-4}+{-1x4)-0.4) / [√(0.8² + (-1)²)]
d = 0.4 / 1.25
d = 0.3125
Therefore, the distance from point A(-4,4) from the line y = 0.8x -0.4 is 0.31215.
To know more about the distance of a point follow
https://brainly.com/question/1597347
#SPJ2
Evaluate the expression. 0.3 = -5 - (-0.4 - -0.6) Write your answer as an integer or a decimal. Do not round.
Answers
Answer:
-20
Step-by-step explanation:
Hi
The value of the expression is a decimal -17.33.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
0.3x = -5 - (-0.4 - (-0.6))
0.3x = -5 - (-0.4 + 0.6)
0.3x = -5 - 0.2
0.3x = -5.2
x = -5.2/0.3
x = -17.33
Thus,
The value of x is -17.33.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
8 is the quotient of a number g and 3
Answers
Answer:
g = 3/8
Step-by-step explanation:
Kelsey and Julia both leave the coffee shop at the same time, but in opposite directions. If Julia travels 9 mph faster than Kelsey and after 7 hours they are 259 miles apart, how fast is each traveling
Answers
Kelsey is traveling at a speed of 14 mph, while Julia is traveling at a speed of 23 mph.
Let's denote the speed of Kelsey as x mph. Since Julia travels 9 mph faster than Kelsey, her speed can be expressed as (x + 9) mph. In 7 hours, the total distance covered by both Kelsey and Julia is 259 miles.
Using the formula distance = speed × time, we can write the following equation for Kelsey:
Distance traveled by Kelsey = Kelsey's speed × time
= x mph × 7 hours
= 7x miles
Similarly, for Julia:
Distance traveled by Julia = Julia's speed × time
= (x + 9) mph × 7 hours
= 7(x + 9) miles
According to the problem, the total distance covered is 259 miles, so we can set up the equation:
Distance traveled by Kelsey + Distance traveled by Julia = Total distance
7x + 7(x + 9) = 259
Simplifying the equation:
7x + 7x + 63 = 259
14x = 196
x = 14
Therefore, Kelsey's speed is 14 mph, and Julia's speed is (14 + 9) mph = 23 mph.
To know more about speed,
https://brainly.com/question/11590580
#SPJ11
I am ranked 48th out of 326 in my class. What rank would I be considered? Top 1%, top 5%, top 10%, top 20%, etc. (this is for college apps)
Answers
Answer:
Top 15 percent
Step-by-step explanation:
48 * 100 = 4800/326 = 14.723 (your exact percentage) or about 15
Answer:
You are about in the Top 15%.
Step-by-step explanation:
48/326 = 0.1472...
48/326 = 14.72...%
That is about 15%
Write (x^2) ^4without exponents
Answers
Answer:
\(x * x + x * x * x * x = y\)
The formula for finding exponents is multiply the number following the exponent by itself that number of times.
Chase and Mariah want to split a bag of fun-sized candy, and decide to use the divider-chooser method. The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's, which Chase values at $1, $2, and $3 respectively. (This means Chase values the 100 Snickers together at $1, or $0.01 for 1 Snickers) If Mariah is the divider, and in one half puts: 45 Snickers 20 Milky Ways 80 Reese's What is the value of this half in Chase's eyes? Is this a fair share?
Answers
A fair share must have the same value, 6/2 = 3. Since one half is 3.25 which is more than 3, it is not a fair share.
We have to following information from the question is:
The bag contains 100 Snickers, 100 Milky Ways, and 100 Reese's,
which Chase values at $1, $2, and $3 respectively.
If Mariah is the divider, and in one half puts: 45 Snickers 20 Milky Ways 80 Reese's.
We have to find the value of this half in Chase's eyes.
Now, According to the question:
Snickers: s = .01
Milky Way: m = .02
Reese's: r = .03
Total = 100(.01+.02+.03) = 6
45s + 20m + 80r
45(.01) + 20(.02) + 80(.03) = 3.25
Since half the total value for Chase
is 6/2 = 3 and this share is 3.25 then it isn't equal.
A fair share must have the same value, 6/2 = 3. Since one half is 3.25 which is more than 3, it is not a fair share.
Learn more about Divider - chooser Method at:
https://brainly.com/question/16963612
#SPJ4
what is this problem please help70^1/3
Answers
Answer:
23.333....
Step-by-step explanation:
.
A student models the way some bacteria reproduce by cutting a sheet of paper in half, and then
cutting each part in half, and then cutting those parts in half, and so on. What function could the
student use as another model for the puber of bacteria?
Answers
In the situation, the number of bacterias are doubling for each sheet of paper cut, thus, the exponential equation for the puber is:
\(f(n) = 2^n\)
Initially, there was only one sheet of paper. Then, each sheet is cut in half, so we will have 2 sheets, then 4 sheets, then 8 sheets, and so on. That is, the number of sheets is continuously doubling, thus, the population after n cuts can be modeled by the following exponential equation:
\(f(n) = 2^n\)
A similar problem is given at https://brainly.com/question/15563161
Assume the distribution of IQ scores for adults can be modeled with a normal distribution with a mean score of 100 points and a standard deviation of 10 points. 30% of adults will have an IQ score higher than what value?
Answers
Step-by-step explanation:
Use z-score table to find the z-score that corresponds to .7000 ( 70%)
approx .525 s.d. above the mean
.525 * 10 = 5.25 points above 100 = 105.25
13. Greenvard's manufactures and sells vard furniture made out of recy- cled materials. It is considering making a lawn chair from rceyded aluminum and labrk products. The expense and revenue functions are E = -1,8507 + 800,000 and R = -1009 - 201,00 . a. Determine the profit function, b. What is the profit if the price is set at $110?
Answers
The profit function is given by:
Profit = Revenue - Expense
Profit = (-1009 - 201x) - (-18507 + 800000)
Simplifying:
Profit = -1009 - 201x + 18507 - 800000
Profit = -781502 - 201x
Therefore, the profit function is P(x) = -781502 - 201x.
b. To find the profit when the price is set at $110, we need to determine the quantity sold. We can use the revenue function to do this:
R = px
-1009 - 201x = 110x
Simplifying:
311x = 1009
x = 3.25 (rounded to two decimal places)
Therefore, the quantity sold is 3.25 units. To find the profit, we can substitute x = 3.25 into the profit function:
P(3.25) = -781502 - 201(3.25)
P(3.25) = -782113.25
Rounding to the nearest cent, the profit when the price is set at $110 is approximately -$782,113.25. This indicates a loss.
Learn more about profit function here : brainly.com/question/16866047
#SPJ11
If x is divided by 2 and then 4 is subtracted, then the function is f left parenthesis x right parenthesis equals x divided by 2 minus 4. What are the steps to find the inverse to this function
Answers
The inverse is y = x/2 - 4
Steps involved are -
replace f(x) with y: y = 2(x + 4)Then switch y and x: x = 2(y + 4)Finally make y the subject:x = 2(y + 4)x/2 = y + 4 (divide by 2)x/2 - 4 = y (subtract 4)So, the inverse is y = x/2 - 4What is the formula for inverse function?In mathematics, the inverse function of a function f (also called the inverse of f) is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective.f-1(y) = y/2 = x, is the inverse of f(x).To learn more about inverse functions from the given link
https://brainly.com/question/3831584
#SPJ4