The equation that could represent the graph is f(x) = 1/12(x + 6)(x - 1)(x - 4)
How to determine the equation that could represent the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
Where we have
Zeros = -6, 1 and 4
Multiplicity = 1
using the above as a guide, we have the following:
f(x) = a * (x - zero)
So, we have
f(x) = a(x + 6)(x - 1)(x - 4)
Using the y-intercept, we have
a(0 + 6)(0 - 1)(0 - 4) = 2
When evaluated, we have
a = 1/12
So, we have
f(x) = 1/12(x + 6)(x - 1)(x - 4)
Hence, the equation that could represent the graph is f(x) = 1/12(x + 6)(x - 1)(x - 4)
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In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted.
A. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.
B. What is the probability percentage that 285 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal place.
C. What is the probability percentage that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to tywo decimal places.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Given:
\(\ Mean = 0.54 \times 555 \\\)
\(= 299.7\)
\(SD = 11.74\)
In point a:
\(\to Z = \frac{(338 - 299.7)}{11.74}\)
\(= \frac{(38.3)}{11.74}\\\\= 3.26\)
\(\to P = 0.000557\\\\\to \% = 0.06 \%\)
In point b:
\(\to Z = \frac{(285 - 299.7)}{11.74}\)
\(= \frac{(-14.7)}{11.74}\\\\= -1.25\\\)
\(\to P = 0.8944\\\\\to \% = 89.44 \%\)
In point c:
\(\to 48\% \times 555 = 266.4\\\\\to Z = \frac{(266.4 - 299.7)}{11.74}\\\\\)
\(= \frac{(-33.3)}{11.74}\\\\= -2.83\)
\(\to P = 0.002256\\\\\to \% = 0.23 \%\)
Each volleyball set costs $63.74.
Which equation represents the cost, c, of n sets?
The equation that represents the cost, c, of n sets is c = 63.74n
Which equation represents the cost, c, of n sets?from the question, we have the following parameters that can be used in our computation:
Each volleyball set costs $63.74.
Let the total number of sets be n
So we have
Cost of n = 63.74 * n
This gives
c = 63.74n
Hence, the equation is c = 63.74n
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Please help!!
One thousand people stood in a very large circle. Each person wore a sign on their back
with a numeral from 1 to 1000, in a clockwise sequence. They began counting off. The
first person, person A, said "one-in," and remained in the circle. Person B, the person to
the left of A, said "two-out," and left the circle. The person to the left of B, person C, said
"three-in," and remained in the circle. The person to the left, person D, said "four-out,"
and stepped out of the circle.
So it continued with each person wearing an odd number saying "in," and remaining in
the circle, and with every person wearing an even numeral leaving the circle.
It was easy to visualize who remained in the circle when the count off made it all the way
around back to the first person. Since the last person said "one thousand-out," person A,
the first person, said "one-in," and stayed in, while person C, now the next person, said
"three-out," and left the circle. This process would keep going on and on until only one
person was left in the circle.
Who was the last person standing?
The person who gets to say the last number, 1000, will be Person 6.
Here, we have,
In this scenario, we have seven people sitting in a circle and counting clockwise. The goal is to determine which person will say the last number when they reach 1000. To solve this problem, we can use the concept of modular arithmetic.
When dividing 1000 by the total number of people (7), we get a quotient of 142 and a remainder of 6 (1000 = 142*7 + 6). This means that after completing 142 full rounds of counting, the group will have reached the number 994 (142*7). In the next round, they will continue counting from 995 to 1000.
Since the remainder is 6, it indicates that the last number (1000) will be spoken by the person sitting 6 positions after the first person in the circle (clockwise). In other words, Person 1 says numbers 1, 8, 15, and so on, while Person 6 will say 6, 13, 20, and so on.
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complete question:
10) Seven people sit in a circle and begin counting clockwise starting from 1.Each person in the group is keeping track of the numbers she is saying (e.g. 1,8, 15...) If they continue in this way, counting on and on, until they reach 1000, which person will get to say the last number
Question 14 of 25 The image shows the location of ladders around a circular pool. 10 C 8 2 0 2 B (6y-2 85 -12 -10 0 2 Cody walks clockwise around the pool from point D to point E. How many degrees of arc does he walk? If your answer is a decimal, express your answer to the nearest hundredth.
The degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.
What is inscribed polygon in circle?The inscribed polygon in a circle is the polygon of which each corner point is on the circle.
The image shows the location of ladders around a circular pool. Cody walks clockwise around the pool from point D to point E. In the given image the value of x i,
\(2x+8=86\\2x=86-8\\x=\dfrac{78}{2}\\x=39^o\)
Thus, the angle C and angle B are the supplementary angle. Thus,
\(m\angle C=m\angle D\\7y-4=360-(3y-6)\\7y+3y=360+6+4\\10y=370\\y=37\)
3y-6 is the inscribed angle which intercept the arc DE. Thus,
\(\text {arc } DE= 3y-6\\\text {arc } DE= 3(37)-6\\\text {arc } DE= 105\)
Thus, the degrees of arc which Cody he walks clockwise around the pool from point D to point E is 105 degrees.
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A kitten weighs 4 pounds. What is the mass of the kitten in kilograms?
(Nearest thousandths)
Answer:
4 pounds = 1.814 kg
Step-by-step explanation:
Given that,
Weight of kitten = 4 pounds
We need to find the mass of the kitten in kg.
The relation between pounds and kg is given by :
1 kg = 2.204 pounds
⇒ 1 pound = (1/2.204) kg
⇒ 4 pounds = \(4\cdot\left(\dfrac{1}{2.204}\right)\)
= 1.814 kg
Hence, 4 pounds is equal to 1.814 kg.
Three times a number decreased by 5 equals 10. Write the equation and find the number.
Answer:
3x - 5 = 10
Step-by-step explanation:
5x-y=1/4 write in slope-intercept form
The slope intercept form of the given equation is,
y = 5x - 1/4
Given an equation of a line as,
5x - y = 1/4
We have to write the equation of the line in slope intercept form.
Equation of the line in slope intercept form is,
y = mx + c
Here m is the slope and c is the y intercept.
Rearranging the given equation,
5x = y + 1/4
5x - 1/4 = y
or,
y = 5x - 1/4
Hence the slope intercept form is y = 5x - 1/4.
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21. The data below show the number of families living in poverty (based on official governmental thresholds) in the United States for a selection of years from 1985 to 2015. Draw a time series graph for the data. Year 1985 1990 1995 2000 2005 2010 2015 Families in 7.2 7.1 7.5 6.4 9.4 18.6 poverty (Millions)
Answer: i thought that i knew the awnser but it was wrong sorry
Step-by-step explanation:
2.145 is divisible by which numbers
2
6
5
3
Answer:
3 and 5 if "." marks thousands2, 3, 5, 6 if "." is a decimal pointStep-by-step explanation:
The number 2145 is not even, so will not be divisible by 2 or 6. It ends in 5 so is divisible by 5. Its sum of digits is 12, which is divisible by 3, so the number is divisible by 3.
2145 is divisible by 3 and 5.
2.145 is divisible by all of these numbers:
2.145/2 = 1.0725
2.145/6 = 0.3575
2.145/5 = 0.429
2.145/3 = 0.715
_____
Here, we take the mixed number to be divisible if the decimal representation of the quotient is a terminating decimal fraction.
What is 10,8,12,10,14?
Answer:
they are all called numbers
Step-by-step explanation:
Isabelle is plotting a pentagon on a grid. So far, she has plotted and connected the three points shown on the grid below.
On a coordinate plane, lines connect points (negative 2, 4), (negative 3, 2), and (0, negative 2).
To complete the pentagon, she can choose only from the points below.
(2, 0), (–2, 0), (–2, 4), (2, 4)
How can Isabelle complete her pentagon?
Connect the point already at (0, –2) to a new point at (2, 0), and then connect
( 2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), and then connect ( –2, 0) to (–2, 4).
Connect the point already at (0, –2) to a new point at (–2, 0), connect ( –2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Answer:
D
Step-by-step explanation:
Connect the point already at (0, –2) to a new point at (2, 0), connect
(2, 0) to (2, 4), and then connect (2, 4) to (–2, 4).
Im pretty sure
Answer:
D
Step-by-step explanation:
THIS IS URGENT. A sign at the grocery store says that 3 cucumbers costs $3.60. How much would it cost for 5
cucumbers?
Answer:
18
Step-by-step explanation:
just multiply
Answer:
6$ for 5 cucumbers
Step-by-step explanation:
3cucumbers = 3.6$
/3 to determine what 1 cucumber costs
1cucumber = 1.2$
×5
6$ for 5 cucumbers
Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
Autumn has $5 in her wallet. If this is 20% of her monthly allowance, what is her
monthly allowance?
Answer:
Her monthly allowance is $25
Step-by-step explanation:
20% Of 25 is 5
Answer:
Autumn's monthly allowance is $25.
Step-by-step explanation:
5 x 5 = 25
To check: 25 x 0.20 = 5
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Find the partial sum for the sequence.
{2, 3, 5, 8, 13, ...}; S8
S8=
The partial sum of the sequence {2, 3, 5, 8, 13, ...} for the first 8 terms is 761/2.
The sequence given is a Fibonacci sequence, where each term is the sum of the previous two terms. To find the partial sum for the first 8 terms, we can use the formula for the sum of a finite geometric series:
Sₙ = a(1 - rⁿ)/(1 - r),
where Sₙ is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = 2, r = 3/2 (since each term is 1.5 times the previous term), and n = 8. Plugging these values into the formula, we get:
S₈ = 2(1 - (3/2)⁸)/(1 - (3/2))
Simplifying the expression, we get:
S₈ = 761/2
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how do you simplify this radical (4x^2y)^1/3 and have no negative exponents?
Answer:
4^(1/3) x^(2/3) y^(1/3)
Step-by-step explanation:
why would you expect negative exponents? Just pultiply powers
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
Daniel buys an ice cream sundae for $4.88 and is given $15.12 as change. Which equation represents the situation if x is the amount Daniel had before he bought the ice cream sundae?
Answer:
X = 4.88 + 15.12 or X - 4.88 = 15.12
So, Daniel had 20 dollars before he brought the ice cream sundae
kerry is going to use these instructions to make a fizzy drink
mix 7 parts apple juice with 3 parts lemonade
kerry thinks that she has 280ml of applejuice and 180 ml lemonade.
if kerry is correct what is the greatest amount of fizzy drink she can make?
second part:
kerry has 280 ml of applejuice but only has 160 ml of lemonade.
Does this affect the greatest amount of fizzy drink she can make?
Give a reason for your answer.
a) She can make 400 milliliters of the fizzy drink.
b) The change does not affect the greatest amount of drink.
If kerry is correct what is the greatest amount of fizzy drink she can make?We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.
If we divide the total amount of apple juice in 7 parts, then each part has:
280ml/7 = 40ml
Then we need 3 parts of 40ml of the lemonade, this is:
3*40ml = 120ml
Then the total amounf of drink fizz that she can make is:
280ml + 120ml = 400ml.
b) Now she has 160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.
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If 10 students from a 1st-grade class are lining up to enter the cafeteria line for lunch, how many ways are there to line up the 10 students?
Answer: The answer is 10
Step-by-step explanation:
Kevin takes 1500 steps to walk d meters from his home to the station. Each step is 90 centimeters correct to the nearest 10cm.
Find the lower and the upper bound for d
Distance of upper bond and lower bond is 120,000 and 150,000 centimeter
How to find Lower bound and Upper Bound?
Given:
Number of steps walk = 1500 steps
Each step count = 90 centimeters
Correction in each step = 10 cm nearest
Find:
Lower bound and upper bound for d
Computation:
Lower bound step length = 90 - 10
Lower bound step length = 80 centimeters
Upper bound step length = 90 + 10
Upper bound step length = 100 centimeters
Lower bound d = 1500 × 80
Lower bound d = 120,000 centimeters
Upper bound d = 1500 × 100
Upper bound d = 150,000 centimeters
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Algebra II pls help.
The circle denotes function composition:
\((g\circ f)(3) = g(f(3))\)
According to the table, f(3) = 5, and g(5) = 8. So
\((g\circ f)(3) = g(f(3)) = g(5) = \boxed{8}\)
write and equation for the nth term of the geometric sequence for 2,8,32,128
then find a6 round to the nearest tenth if necessary.
The sixth term of the geometric sequence is 2048.
The given geometric sequence is 2, 8, 32, 128. We can observe that each term is obtained by multiplying the previous term by 4. Therefore, the common ratio (r) of the sequence is 4.
The formula for the nth term (an) of a geometric sequence is given by:
an = a1 * r^(n-1)
where a1 is the first term and r is the common ratio.
For this sequence, a1 = 2 and r = 4. Plugging in these values into the formula, we get:
an = 2 * 4^(n-1)
To find a6, we substitute n = 6 into the formula:
a6 = 2 * 4^(6-1)
= 2 * 4^5
= 2 * 1024
= 2048
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The Probable question may be:
Write an equation for the nth term of the geometric sequence 2, 8, 32, 128,
Then find a6. Round to the nearest tenth if necessary.
a = 5×4 X
a1 = n-1 X
NEED MAJOR HELP PLEASE IM BEGGING ASAP
Answer:
12
Step-by-step explanation:
proportions
Five times the sum of a number and 7 is 3 more than the double of a number. Find the number.
Show all work.
Please I will make you BARINLIEST!
Step-by-step explanation:
5 = x + 3. The product of 2 times a number is 10. 2x = 10. One half a number is 10 x/2 = 10. Five times the sum of x and 2 5(x + 2). Seven is greater than x.
Answer:
35
Step-by-step explanation:
This is how you can solve for the missing number that is doubled: ( x )
7 = 3 + 2x
7 ( -3 ) = 3 ( -3 ) + 2x
4 = 2x
4 ( /2 ) = 2x ( /2 )
2 = x
This is how you solve for the number the question is asking for: ( y )
y = 5 ( 3 + 2x )
y = 5 ( 3 + 2 ( *2 ))
y = 5 ( 3 + 4 )
y = 5 ( 7 )
y = 5 * 7
y = 35
Marissa decides to save AND invest for retirement. She makes an initial deposit of $2000 in her savings account which earns 1.5% annually. Her contributions are $150 a month. Then, she makes an initial deposit of $1,000 in the US stock market through an index fund contributing $300 a month with a 6.8% return annually. What is the balance of Marissa’s retirement account after 30 years?
Using compound interest formula, her balance after retirement is $430797.77
What is Marissa's BalanceTo calculate the balance of Marissa's retirement account after 30 years, we need to determine how much her savings account and index fund will be worth after 30 years, taking into account the interest earned and her monthly contributions.
First, we'll calculate the balance of her savings account:
Initial deposit: $2000
Interest rate: 1.5%
Monthly contribution: $150
Number of months: 30 years * 12 months/year = 360 months
Using the compound interest formula, the balance of her savings account after 30 years will be:
2000*(1+0.015/12)^360 + 150*(((1+0.015/12)^360-1)/(0.015/12))
A = $71280.33
Next, we'll calculate the balance of her index fund:
Initial deposit: $1000
Interest rate: 6.8%
Monthly contribution: $300
Number of months: 30 years * 12 months/year = 360 months
Using the compound interest formula, the balance of her index fund after 30 years will be:
A = 1000*(1+0.068/12)^360 + 300*(((1+0.068/12)^360-1)/(0.068/12))
A = $359517.44
Then we can add the balance of both the savings account and the stock market to get the total balance of Marissa's retirement account.
Her balance = $71280.33 + $359517.44 = $430797.77
Please note that the above answer is an estimation, in reality there are other factors such as taxes, inflation, fees, and market conditions that should be considered in a real-world scenario.
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How many two-digit numbers are there that have 6 and 8 as factors
If you are saying only positive 6 and 8, then there is only ONE.
Which gives you 48.
But if you are sayin both positive and negative, then there is two, 48,-48.
Because you multiply -6,8.
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If the pre-image (4,-3) is translated <-6,-8> the image will be located at: (?,?)
Answer:
(-2, - 11)
Step-by-step explanation:
Coordinate of preimage = (4, - 3)
Pre image is translated <-6,-8>
X - coordinate of preimage = 4
Translation, x coordinate + (-6)
Y - coordinate of preimage = - 3
Translation, x coordinate + (-8)
Image will be located at (4+(-6) ; - 3+(-8))
Hence, we have (-2, - 11)
A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where What is the probability that at least 5 people attend the meeting given that at least 2 attend
Answer:
The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:
P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...
What is the probability that at least 5 people attend the meeting given that at least 2 attend?
The explanation of the answer is now provided as follows:
Given:
P(X = x) = 1 / 2^(x+1), for x = 0,1,2,... (1)
Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.
Substituting x = 2 into equation (1), we have:
P(X = 2) = 1 / 2^(2 + 1)
P(X = 2) = 1 / 2^3
P(X = 2) = 1 / 8
P(X = 2) = 0.1250, or 12.50%
Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.
The box whisker plots below (sometimes called boxplots) summarize the noon temperatures for each city. Use the box-and-whisker plots to answer the questions.
(a) Which city had more noon temperatures above 76 °F?
(b) Which city had noon temperatures with a larger interquartile range (IQR)?
(c) Which city had a larger median noon temperature?
(d) Which city had the highest noon temperature?
From the box-and-whisker plot, we have that:
a) City B had more noon temperatures above 76ºF.
b) City A had the largest IQR.
c) City B had the larger median temperature.
d) City A had the highest noon temperature.
What is shown by the box-and-whisker plots?For City A, the measures are given as follows:
Minimum temperature: 65ºF.First quartile: 67 ºF.Median: 70 ºF.Third quartile: 75 ºF.Highest temperature: 85ºF.Hence the interquartile range of temperatures is of:
75 - 67 = 8ºF.
For City B, the measures are given as follows:
Minimum temperature: 59ºF.First quartile: 73 ºF.Median: 78 ºF.Third quartile: 80 ºF.Highest temperature: 82ºF.Hence the interquartile range of temperatures is of:
80 - 73 = 7ºF.
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