Jared draws a rectangle. Explain how
to find the area using the Distributive
9 ft length
5 ft height
Answers
45 feet is the answer
Related Questions
A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answers
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
Construct a table of values for the following functions using the integers from -4 to 4.
a. F(x)=6/x-2
b. r(x)=6x+12/x^-4
Answers
Step-by-step explanation:
Find the table attached
a) Given
F(x) = 6/x-2
When x = -4
F(-4) = 6/-4-2
F(-4) = 6/-6
F(-4) = -1
F(x) = 6/x-2
When x = -3
F(-3) = 6/-3-2
F(-3) = 6/-5
F(-3) = -1.2
F(x) = 6/x-2
When x = -2
F(-2) = 6/-2-2
F(-2) = 6/-4
F(-2) = -1.5
F(x) = 6/x-2
When x = -1
F(-1) = 6/-1-2
F(-1) = 6/-3
F(-1) = -2.0
F(x) = 6/x-2
When x = 0
F(0) = 6/0-2
F(0) = 6/-2
F(0) = -3
F(x) = 6/x-2
When x = 1
F(1) = 6/1-2
F(1) = 6/-1
F(1) = -6
F(x) = 6/x-2
When x = 2
F(2) = 6/2-2
F(2) = 6/0
F(2) = infty
F(x) = 6/x-2
When x = 3
F(3) = 6/3-2
F(3) = 6/1
F(3) = 6
F(x) = 6/x-2
When x = 4
F(4) = 6/4-2
F(4) = 6/2
F(4) = 3
b) Given
r(x)=6x+12/x^-4
When x = -4
r(-4) = 6(-4)+12/(-4)^-4
r(-4) = -24+12/(1/256)
r(-4) = -12(256)
r(-4) = -3072
When x = -3
r(-3) = 6(-3)+12/(-3)^-4
r(-3) = -18+12/(1/81)
r(-3) = -6(81)
r(-3) = -486
When x = -2
r(-2) = 6(-2)+12/(-2)^-4
r(-2) = -12+12/(1/16)
r(-2) = -0(16)
r(-2) = 0
When x = -1
r(-1) = 6(-1)+12/(-1)^-4
r(-1) = -6+12/(1)
r(-1) = -6+12
r(-1) = 6
When x = 0
r(0) = 6(0)+12/(0)^-4
r(0) = 0+12/0
r(0) = 12/0
r(0) = infty
When x = 1
r(1) = 6(1)+12/(1)^-4
r(1) = 6+12/1
r(1) = 18(1)
r(1) = 18
When x = 2
r(2) = 6(2)+12/(2)^-4
r(2) = 12+12/1/16
r(2) = 24(16)
r(2) = 384
When x = 3
r(3) = 6(3)+12/(3)^-4
r(3) = 18+12/1/81
r(3) = 30(81)
r(3) = 2430
When x = 4
r(4) = 6(4)+12/(4)^-4
r(4) = 24+12/1/256
r(4) = 36(256)
r(4) = 9216
We want to construct tables of values for the two given functions.
The tables are:
a)
\(\left[\begin{array}{ccc}x&y\\-4&-7/2\\-3&-4\\-2&-5\\-1&-8\\0&NaN\\1&4\\2&1\\3&0\\4&-1/2\end{array}\right]\)
b)
\(\left[\begin{array}{ccc}x&y\\-4&3,048\\-3&954\\-2&180\\-1&6\\0&0\\1&18\\2&204\\3&990\\4&3,096\end{array}\right]\)
A table will be something like:
\(\left[\begin{array}{ccc}x&y\\-4&\\-3&\\-2&\\-1&\\0&\\1&\\2&\\3&\\4&\end{array}\right]\)
Where the values of x go from -4 to 4.
To complete the tables, we just need to evaluate the functions in each one of the x-values at the left, and the outcome will be placed at the right.
a) f(x) = 6/x - 2
Now we just need to evaluate the function in all the given points:
f(-4) = 6/(-4) - 2 = -3/2 - 4/2 = -7/2
f(-3) = 6/-3 - 2 = -4
f(-2) = 6/-2 - 2 = -5
f(-1) = 6/-1 - 2 = -8
f(0) is undefined, as we can't divide by zero, here we can write NaN (Not a number).
f(1) = 6/1 - 2 = 4
f(2) = 6/2 - 2 = 1
f(3) = 6/3 - 2 = 0
f(4) = 6/4 - 2 = -1/2
Now we put all of these in the correspondent place of the table:
\(\left[\begin{array}{ccc}x&y\\-4&-7/2\\-3&-4\\-2&-5\\-1&-8\\0&NaN\\1&4\\2&1\\3&0\\4&-1/2\end{array}\right]\)
b) We do the same thing, here we have:
r(x) = 6*x + 12/x^-4 = 6*x + 12*x^4
Now we evaluate this in the given values:
r(-4) = 6*(-4) + 12*(-4)^4 = 3,048
r(3) = 6*(-3) + 12*(-3)^4 = 954
r(-2) = 6*(-2) + 12*(-2)^4 = 180
r(-1) = 6*(-1) + 12*(-1)^4 = 6
r(0) = 6*0 + 120^4 = 0
r(1) = 6*1 + 12*1^4 = 18
r(2) = 6*2 + 12*2^4 = 204
r(3) = 6*3 + 12*3^4 = 990
r(4) = 6*4 + 12*4^4 = 3,096
Now we place these values in the correspondent place on the table:
\(\left[\begin{array}{ccc}x&y\\-4&3,048\\-3&954\\-2&180\\-1&6\\0&0\\1&18\\2&204\\3&990\\4&3,096\end{array}\right]\)
These are our two tables.
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The Fenwick family filled their new in-ground swimming pool with 75,700 liters of water. One gallon of water is about 3.785 liters. About how many gallons of water are in the pool? How much gallons? You get 30 points to answer this.
Answers
Answer:20000
Step-by-step explanation:
Geometry question. Please help fast.
Answers
The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.
We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.
So, both the 1st and 4th points translate and reflect down the triangle A'B'C' which will be mapped according to the triangle ABC.
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PLS HELP ILL MARK YOU AS BRAINLIEST
Answers
Answer:
a= 78
Step-by-step explanation:
To solve subtract:
180-102= 78
Hope this helps!
Answer:
78 is the missing angle
Step-by-step explanation:
180 - 102 = 78
In a frequency distribution of 290 scores, the mean is 99 and the median is 86. One would expect this distribution to be:
Answers
Answer:
positively skewed to the right
Step-by-step explanation:
The measure of the central tendency is a profound way to describe the mean, median and mode. The measure of central tendency indicates where the center of distribution tends to be. The measure of central tendency provide a validity and answers whether the scores are high or generally low.
In this measure,The mean is usually pulled to the tail. The skewed is determined by where the tail goes, to the right side , it is positively skewed and to the left side , it is known as negatively skewed distribution.
Given that:
In a frequency of distribution of 290 scores,
the mean = 99
the median = 86
One would expect this distribution to be; positively skewed to the right since the mean value is greater than the median value.
a farmer counted 196 cows in the field answers
Answers
Answer:
the farmer has 196 cows
Step-by-step explanation:
Santos Company provided the following information for 2022:
Common Stock Outstanding 100,000 shares
Convertible Preferred, Total Par Value $50,000; Dividend Rate 4%; Convertible into 1,900 Common Shares Dividend Declared & Paid
Stock Options – A Exercise Price $12; Average Market Price $11; 3,000 Options
Stock Options – B Exercise Price $7; Average Market Price $8; 4,000 Options
Convertible Bonds, 5%, Face Value $1,000,000; Convertible into 40,000 Common Shares
Tax Rate 30%
Net Income $120,000
Round to nearest two decimal places.
Part A: Complete all steps to determine EPS to be reported including:
1. Computation of Basic EPS
2. Individual dilution/anti-dilution with decision making
3. Ranking of potential dilutors
4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.
Part B: Partial Financial Statement Presentation of EPS for this company for the current year (2022) with a proper heading. Start your partial statement with Net Income.
Reminder: You must show all supporting computations
Answers
Answer:
Part A:
1. Computation of Basic EPS
Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares Outstanding²
Net Income = $120,000
Preferred Dividends = 4% x $50,000 = $2,000
Weighted Average Shares Outstanding = 100,000 (assuming no change in common stock during the year)
Basic EPS = ($120,000 - $2,000) / 100,000
Basic EPS = $1.18
2. Individual dilution/anti-dilution with decision making
We need to check if any of the convertible securities or stock options are dilutive or anti-dilutive by comparing their impact on EPS with the basic EPS.
Convertible Preferred: Each preferred share can be converted into 1.9 common shares (1,900 / 1,000). The conversion would increase the common shares outstanding by 1,900 and decrease the preferred dividends by $2,000.
EPS after conversion = ($120,000 - $0) / (100,000 + 1,900)
EPS after conversion = $1.16
Since this is lower than the basic EPS of $1.18, the convertible preferred is dilutive and should be included in the diluted EPS calculation.
Stock Options - A: Each option can be exercised at $12 to buy one common share when the average market price is $11. This means that the options are out of the money and would not be exercised by the holders. Therefore, they have no impact on EPS and are anti-dilutive.
Stock Options - B: Each option can be exercised at $7 to buy one common share when the average market price is $8. This means that the options are in the money and would be exercised by the holders. The exercise would increase the common shares outstanding by 4,000 and generate cash proceeds of $28,000 ($7 x 4,000). The cash proceeds can be used to buy back some common shares at the market price of $8. The number of shares bought back is 3,500 ($28,000 / $8). The net increase in common shares outstanding is 500 (4,000 - 3,500).
EPS after exercise = ($120,000 - $2,000) / (100,000 + 500)
EPS after exercise = $1.17
Since this is lower than the basic EPS of $1.18, the stock options - B are dilutive and should be included in the diluted EPS calculation.
Convertible Bonds: Each bond can be converted into 40 common shares (40,000 / 1,000). The conversion would increase the common shares outstanding by 40,000 and decrease the interest expense by $50,000 ($1,000,000 x 5%). The interest expense is net of tax, so we need to multiply it by (1 - tax rate) to get the after-tax amount. The tax rate is 30%.
EPS after conversion = ($120,000 - $2,000 + $50,000 x (1 - 0.3)) / (100,000 + 40,000)
EPS after conversion = $1.19
Since this is higher than the basic EPS of $1.18, the convertible bonds are anti-dilutive and should be excluded from the diluted EPS calculation.
3. Ranking of potential dilutors
We need to rank the potential dilutors from the most dilutive to the least dilutive based on their impact on EPS.
The most dilutive security is the convertible preferred with an EPS of $1.16.
The second most dilutive security is the stock options - B with an EPS of $1.17.
The least dilutive security is the convertible bonds with an EPS of $1.19.
4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.
We need to include the potential dilutors in order of their dilution until we reach a point where the next security would be anti-dilutive.
The first security to include is the convertible preferred.
EPS with convertible preferred = ($120,000 - $0) / (100,000 + 1,900)
EPS with convertible preferred = $1.16
The next security to include is the stock options - B.
EPS with stock options - B = ($120,000 - $0) / (100,000 + 1,900 + 500)
EPS with stock options
a college says it admits only people with sat scores among the top 10%. how high an sat score does it take to be g
Answers
Full question:
Suppose SAT scores among students are normally distributed with a mean of 500 and a standard deviation of 100.
If a college says it admits only people with sat scores among the top 10%. how high a sat score does it take to be eligible?
Answer and explanation:
To find where SAT score of student falls in the test given mean and standard deviation of scores, we can calculate: x-500/100 where x is number of SAT score of students
A sat score in the top 10% region would have a score better than 90% of other SAT scores. Therefore 0.90 has a z score of 1.28
We use algebra to find the score to be eligible thus:
1.28=x-500/100
x-500=128
x=128+500
x=628
Therefore to be eligible, a student needs to score at least 628, and be in the top 10% of scores
A snowplow removes three fourths of the snow each time that it goes down a road. If a road starts with 24
inches of snow on it, determine how many times the road would need to be plowed in order for there to be less
than 1/2 inch of snow left on the road.
Answers
After 94/3 times, the snow left on the road will be less than 1/2 inch if the snowplow removes three-fourths of the snow each time.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let's suppose the after x times the snow left on the road is less than 1/2 inches
Each time, the snowplow removes 3/4 of the snow.
Then according to the problem:
24 - 3x/4 = 1/2
3x/4 = 24 - 1/2
3x/4 = 47/2
3x/2 = 47
x = 47(2)/3 = 94/3 times
Thus, after 94/3 times, the snow left on the road will be less than 1/2 inch if the snowplow removes three-fourths of the snow each time.
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PLEASE HELP MY HW IS LATE
Answers
The following information can be extracted from the system of triangles ABC and DEF:
Case A: 3 / 5 = y / z
Case D: m ∠ C = m ∠ F
Case E: Δ ABC ~ Δ DEF
How to interpret a system of two similar triangles
In this problem we find a representation of a system with two similar triangles, that is, two triangles with two congruent internal angles and proportional sides. Then, the following relationships are derived below:
m ∠ A = m ∠ D
m ∠ B = m ∠ E
m ∠ C = m ∠ F
AB / DE = BC / EF = AC / DF
6 / 10 = y / z = x / w
3 / 5 = y / z = x / w
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I NEED HELP ASAP! PLEASEEE I WILL GIVE YOU EVERYTHING AND GOOD REVIEWS!!
You want to park your boat at a local boat dock at 1pm but we are in a drought and you need to make sure that the water will be high enough. Your boat will get stuck if the tide is not at least 7 feet high. The high
tide is at 5:00 am and a low tide at 10:00 am. At the low tide the water depth is 4 feet and at the high tide
the water depth is at 10 feet.
1. Sketch a graph to represent the height o the water at any given time after midnight. Graph at least 2 periods of the tide cycle
2. Identify all relevant parts of the graph
3. Write 2 general equations of the function (one as a cosine function and one as a function)
4. Use 2 different mathematical methods to find the height of the tide at 12.5 hours after midnight and then verify that answer. (Discuss the role each mathematical Mathis has in answering this question)
5. Will you be able to park your boat at the time? Give a detailed explanation to support your answer
Answers
Answer:
no you will not be able to park the boat
Step-by-step explanation:
ok so now i need those reviews
Anne wants to make a scale drawing of her house with the drawing showing a ratio 1 inch to 12 feet.
If Anne's house is 84 feet long, how long, in inches, should her scale drawing be?
Answers
7 in
\( \frac{1}{2} = \frac{x}{84} \\ 84 \times \frac{1}{12} = \frac{x}{84} \times 84 \\ 84 \times \ \frac{1}{12} = x \\ 7 = x\)
Elisa starts baking a pie at 11:25 a.m.
The pie needs to bake for 45 minutes.
What time will the pie be done?
Answers
Answer:
12.10 pm
Step-by-step explanation:
just take the 45 minutes she uses to bake and add to the time she starts
11.25 a.m+45
12.10 pm
2. Write the absolute value of the following. a) | -6 -3 | . b) | 0 - 12 |.
Answers
Answer:
a)9. b) 12
Step-by-step explanation:
a) | -6 -3 | .
-6-3 = -9
|-9| =9
b) | 0 - 12 |.
0-12=-12
|-12|=12
Help me pls pls pls pls
Answers
4(y + 2). <—— multiply 4 by what’s in the parentheses
4 • y = 4y
4 • 2 = 8
In each of the following problems, type the price per unit per oz in blanks a. and b, then pick the best buy.
a. Bread, 1 lb. loaf for 80¢ would =
b. Bread, 2 lb. loaf for $1.95 would =
c. The best buy would be
Answers
The best price to buy is 1 pound bread for 80 cents.
What is the unit rate?Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.
a) Bread, 1 lb. loaf for 80 cents
We know that, 1 pound = 16 oz
80 cents = 0.80 dollars
Here, unit price = 0.80/16
= 0.05 dollars per ounce
b) Bread, 2 lb. loaf for $1.95
We know that, 2 pound = 32 oz
Here, unit price = 1.95/32
= 0.06 dollars per ounce
Therefore, the best price to buy is 1 pound bread for 80 cents.
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NO LINKS!! URGENT HELP PLEASE!!!
Determine if the sequence is arithmetic. If it is, find the common difference, the 52nd term, and the explicit formula.
34. -11, -7, -3, 1, . . .
Given the explicit formula for an arithmetic sequence find the common difference and the 52nd term.
35. a_n = -30 - 4n
Answers
Answer:
#34. aₙ = 4n - 15; a₅₂ = 193#35. a₅₂ = -238; d = - 4-----------------
Question 34Find the differences in the sequence -11, -7, -3, 1, ...
1 - (-3) = 4,-3 - (-7) = 4,-7 - (-11) = 4The difference is common, so the sequence is an AP.
The nth term is:
\(a_n=a_1+(n-1)d\)\(a_n=-11+(n-1)*4=-11+4n-4=4n-15\)Find the 52nd term:
\(a_{52}=4*52-15=208-15=193\)Question 35Find the 52nd term using the given formula:
\(a_{52}=-30-4*52=-30-208=-238\)Find the previous term:
\(a_{51}=-30-4*51=-30-204=-234\)Find the common difference:
\(d=a_{52}-a_{51}=-238-(-234)=-4\)Answer:
\(\begin{aligned}\textsf{34)} \quad d&=4\\a_n&=4n-15\\a_{52}&=193\end{aligned}\)
\(\begin{aligned}\textsf{35)} \quad d&=-4\\a_{52}&=-238\end{aligned}\)
Step-by-step explanation:
Question 34An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
Given sequence:
-11, -7, -3, 1, ...To determine if the given sequence is arithmetic, calculate the differences between consecutive terms.
\(a_4-a_3=1-(-3)=4\)
\(a_3-a_2=-3-(-7)=4\)
\(a_2-a_1=-7-(-11)=4\)
As the differences are constant, the sequence is arithmetic, with common difference, d = 4.
The explicit formula for an arithmetic sequence is:
\(\boxed{a_n=a+(n-1)d}\)
where:
a is the first term of the sequence.n is the position of the termd is the common difference between consecutive terms.To find the explicit formula for the given sequence, substitute a = -11 and d = 4 into the formula:
\(\begin{aligned}a_n&=-11+(n-1)4\\&=-11+4n-4\\&=4n-15\end{aligned}\)
To find the 52nd term, simply substitute n = 52 into the formula:
\(\begin{aligned}a_{52}&=4(52)-15\\&=208-15\\&=193\end{aligned}\)
Therefore, the 52nd term is a₅₂ = 193.
\(\hrulefill\)
Question 35Given explicit formula for an arithmetic sequence:
\(a_n=-30-4n\)
To find the common difference, we need to compare it with the explicit formula for the nth term:
\(\begin{aligned}a_n&=a+(n-1)d\\&=a+dn-d\\&=a-d+dn\end{aligned}\)
The coefficient of the n-term is -4, therefore, the common difference is d = -4.
To find the 52nd term, simply substitute n = 52 into the formula:
\(\begin{aligned}a_{52}&=-30-4(52)\\&=-30-208\\&=-238\end{aligned}\)
Therefore, the 52nd term is a₅₂ = -238.
Optimal Chapter-Flight Fare If exactly 212 people sign up for a charter flight, Leisure World Travel Agency charges $292/person. However, if
more than 212 people sign up for the flight (assume this is the case), then each fare is reduced by $1 for each additional person. Determine how
many passengers will result in a maximum revenue for the travel agency. Hint: Let x denote the number of passengers above 212. Show that the
revenue function R is given by R(x) = (212+x)(292-x).
passengers
What is the maximum revenue?
$
What would be the fare per passenger in this case?
dollars per passenger
Answers
Answer:
Dollars per passenger would be $252.
The maximum revenue is $63,404.
Step-by-step explanation:
Let's define the number of passengers above 212 as x.
The revenue function is given by R(x) = (212 + x)(292 - x).
We can expand and simplify the revenue function:
\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)
= \(61804 - 212x + 292x - x^2\)
= \(-x^2 + 80x + 61804\)
The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.
To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).
\(x=\frac{-80}{2*(-1)}\)
\(= \frac{80}{2}\)
\(= 40\)
Therefore, the number of passengers above 212 for maximum revenue is 40.
Substitute x = 40 into the revenue function to find the maximum revenue:
\(R(x) = -(40)^2 + 80(40) + 61804\)
\(= -1600 + 3200 + 61804\)
\(= 61804 + 1600\)
\(= 63404\)
Hence, the maximum revenue is $63,404.
To determine the fare per passenger, subtract x from the base fare of $292:
Fare per passenger = Base fare - x
\(= 292 - 40\)
\(= 252\) Dollars per passenger.
help me please
Select the correct answer.
What is the product of
Answers
Answer: It's A. -7.
Step-by-step explanation: I've attached an Image of my work.
Answer:
A. -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define expression
\((\frac{7}{8} )(-16)(-7)(\frac{-1}{14} )\)
Step 2: Evaluate
Multiply: \((\frac{-112}{8}) (-7)(\frac{-1}{14} )\)Multiply: \((\frac{784}{8})(\frac{-1}{14} )\)Multiply: \(\frac{-784}{112}\)Divide: \(-7\)Please answer this as quick as possible, wrong answers or chatgpt will be reported:
Q3. A Ferris wheel reaches a maximum height of 60 m above the ground and takes twelve minutes to complete one revolution. Riders have to climb a 4 m staircase to board the ride at its lowest point.
(a) [4 marks] Write a sine function for the height of Emma, who is at the very top of the
ride when t = 0.
(b) [2 marks] Write a cosine function for Eva, who is just boarding the ride.
(c) [2 marks] Write a sine function for Matthew, who is on his way up, and is at the same height as the central axle of the wheel.
Answers
For Matthew, the height is given as \(52 + 8 sin (\pi/6t)\)
What is a Sine Function?To express the characteristic repetition of certain actions or events, a sine function is often employed.
This mathematical function links a position on the edge of a unit circle with the height of its corresponding y-coordinates. Conveyed generally as sin(x), it represents angle measurement in radians.
This repeatable pattern attains values between -1 to 1 and reappears once per every 2π radians. There are numerous applications of this type of sinusoidal oscillation pattern, including signal processing, engineering, and physics among others.
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4 3/8 + 5 1/2= in fractions
Answers
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
Write the equation of the line in slope-intercept form that is parallel to y=1/4x-4 and passes through (-8,2).
Answers
Parallel lines have equal slopes.
The slope of the line given is 1/4
So the line parallel will also have slope of 1/4.
The slope intercept form is:
\(y=mx+b\)Since we know the slope, we can write:
\(y=\frac{1}{4}x+b\)It passes through (-8,2). So we plug into x and y and find b:
\(\begin{gathered} y=\frac{1}{4}x+b \\ 2=\frac{1}{4}(-8)+b \\ 2=-2+b \\ b=2+2 \\ b=4 \end{gathered}\)So, the equation of the lline parallel would be:
\(y=\frac{1}{4}x+4\)A firm gives discounts to its customers who pay their bills on time. A customer receives a ten percent discount on the next invoice when a bill is paid in full before its due date. Thirty percent of all customers use the discount. If the company sends out eight bills, what is the probability that less than three take the discount (round answers to three decimal places, for example, 0.xxx)
Answers
Answer:
0.551
Step-by-step explanation:
Let no. of people who take discount = x
Using binomial distribution, N c X. p^x. q^(n-x)
p : customer getting discount = 0.3, q : customer not getting discount = 0.7 n : no. of customers = 8
Probability that x < 3 : Prob (x=0) + Prob (x=1) + Prob (x=2)
= 8 c 0. (0.3)^0 . (0.7)^8 + 8 c 1. (0.3)^1 . (0.7)^7 + 8 c 2. (0.3)^2 . (0.7)^6
0.05764801 + 0.19765032 + 0.29647548
0.551
Help- thanks :/
Several ratios are graphed below. Which ratio is not equivalent to the others?
On a coordinate plane, the points (2, 3), (4, 7), (6, 9), and (8, 12) are plotted.
4 to 7
8 to 12
2 to 3
6 to 9
Answers
Answer:
4,7 is the one not equalivent to the others.
Step-by-step explanation:
All of the y values in the ratios have a gcf of 12. 7 Is not divisible by 12, let alone 9.
Hewo There! my name is Neko and I'll be helping you today! ;-)
Question:
Several ratios are graphed below. Which ratio is not equivalent to the others?
Answer:
The ratio of 4 to 7 is not equivalent to others.
Step-by-step explanation:
Connect the points by a straight line.Equivalent points lie on the straight line
The given graph is in the Attachment
The (4, 7) doesn't lie on the straight line when the other three points lie on the line.
Hence (4, 7) is not equivalent to (2, 3), (6, 9), and (8, 12)
I hope this helps you!
Have an Amazing Friday!
-Neko-
Please explain how to do it too ill give brainliest
Answers
Answer:
x = 90
Step-by-step explanation:
The given diagram shows a circle with intersecting chords, KM and JL.
To find the value of x, we can use the Angles of Intersecting Chords Theorem.
According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.
Let the point of intersection of chords KM and JL be point P.
As the chords are straight lines, angle x° forms a linear pair with angle JPM.
Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.
From inspection of the given diagram:
\(m\overset\frown{JM}=30^{\circ}\)\(m\overset\frown{LK}=(2x - 30)^{\circ}\)Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):
\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)
As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:
\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)
Therefore, the value of x is 90, which means that the two chords intersect at right angles.
I needddd helppp pleaseeeeee
Answers
obtuse angle
explanation : no cap
Answer:
D : Obtuse
Step-by-step explanation:
A right angle is 90 degrees.
An acute and obtuse angle are found by looking at the angle between the sides being looked at.
If the angle is GREATER i.e. Angle > 90 , then it is obtuse.
If the angle is LESS THAN i.e. Angle < 90 , then it is acute.
This angle is apparently greater than 90 degrees and therefore is obtuse.
A sports shop sells tennis rackets in 4 different weights, 2 types of string, and 3 grip sizes. How many different rackets
could they sell?
O 32
O 18
0 24
0 9
Answers
Answer: C) 24
Step-by-step explanation:
first we take down the information given to us
sports shop sells rackets in
4 different weights
2 types of strings
3 grip sizes
Now to get the number of different rackets they could sell, you simply take the multiplication of the number of racket gripe sizes, the types of strings and different weights they sell
so
4 * 2 * 3 = 24
therefore the sport shop could sell up to 24 different rackets .
Answer:
24
Step-by-step explanation: got it right on my test
Write 0.2 as a fraction in simplest form.
0.2=0
Answers
Answer:
1/5
Step-by-step explanation:
.2 = 2/10
2/10 = 1/5
Based upon these results, how many two-dozen tulip arrangements should the florist expect to sell if it anticipates 4,600 more customers?
Answers
Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.
To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.
Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.
To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.
For more such questions on customers.
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