Answer: x^3 - 3x^2 + 2x
Step-by-step explanation:
Zeros 0, 1, 2
f(x)= x (x-1)(x-2)
= x (x^2 - 3x + 2)
= x^3 - 3x^2 + 2x
please please help, question is in the picture
Answer:
29 years
Step-by-step explanation:
A = P (1 + r)^t
where A is the final amount,
P is the initial amount,
r is the annual interest rate,
and t is the number of years.
17,000 = 11,000 (1 + 0.015)^t
1.545 = 1.015^t
log 1.545 = t log 1.015
t ≈ 29
\(4=\frac{6}{a}x+5\)
Which point represents the fourth bus stop
A. (11,8)
B. (13,12)
C. (15,10)
D. (19,12)
Answer:
The answer is (19,12)
Determine whether the equation is true or false.
Answer:
false
Step-by-step explanation:
PLEASE ANSWERING THIS QUESTION!!!
The volume of a cone with height h and a radius r can be found using the formula \(\sf{V=\dfrac{1}{3}\pi r^2h\)
Find the volume of a cone with radius 5 feet and height 4 feet.
(Blank) ft^3
Rules answering these questions:
Explain your answer!
Do not spam answers!
Show your work!
Nonsense answers will be reported and delete your answers.
Thanks!
Answer:
104.8cm³(1 decimal place)
Step-by-step explanation:
Volume of a cone is given by the formula
V=1/3πr²h
we are given a radius of 5 and a height of 4 so we will just substitute for the values and we will give our pie as 22/7
V=1/3× 22/7×5²×4
V=1/3 × 22/7 ×25 ×4
V=2200/21
V=104.76190476
V=104.8cm³(1decimal place)
pls if you like this answer you can appreciate it by marking it as brainliest
The low temperature last week was 13 Fahrenheit (F). What was the low temperature last week in degrees Celsius (C)? [C =59(F 32)]
Answer:
The low temperature last week was of -10ºC.
Step-by-step explanation:
The relation between temperatures in celsius(C) and Fahrenheit(F) is given by the following equation:
\(F = \frac{9C}{5} + 32\)
Here, we have that \(F = 13\), and we want to find C. So
\(13 = \frac{9C}{5} + 32\)
\(\frac{9C}{5} = -19\)
\(9C = -90\)
\(C = - \frac{90}{9}\)
\(C = -10\)
The low temperature last week was of -10ºC.
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
Two machines just completed projects at the same time. Machine A completes a project every 5.5 minutes. Machine B completes a project every 5.25 minutes. How long will it be until both machines complete a project at the same time?
It would take 2.69 minutes for both machines to complete the project at the same time
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
Machine A completes a project every 5.5 minutes. Machine B completes a project every 5.25 minutes.
Let t represent time it would take both machines to complete the project, hence:
(1/5.5 + 1/5.25)t = 1
86t/231 = 1
t = 2.69 minutes
It would take 2.69 minutes to complete
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2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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(-16) x [(-5) - (-7)]
Answer:
hope this helps you
have a great day
Answer:
\(( - 16) \times (( - 5) - ( - 7)\)
\(( - 16) \times ( - 5 + 7)\)
\(( - 16) \times 2\)
\( - 32\)
hope it helps you
both clocks ring toget (b) Two bells hanged at a school were adjusted at 10:00 am in such a way th one of them rings at the interval of every 45 minutes and another at every minutes. At what time will both bells ring together ?
The Least common multiple (LCM) The time at which both bells will ring together is 10:45 am, and the Subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
The time at which both bells will ring together, we need to find the least common multiple (LCM) of the intervals at which each bell rings.
The first bell rings every 45 minutes, and the second bell rings every minute. We want to find the point at which both intervals align, meaning they both divide evenly into the same amount of time.
To find the LCM, we can list the multiples of each interval until we find a common multiple.
Multiples of 45 minutes: 45, 90, 135, 180, 225, 270, 315, 360, 405, ...
Multiples of 1 minute: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ...
From the lists above, we can observe that the least common multiple occurs when both intervals coincide at the same time, which is 45 minutes.
Thus, the two bells will ring together every 45 minutes.
If we consider the initial adjustment time of 10:00 am, the first time both bells will ring together is at 10:45 am. After that, they will continue to ring together every 45 minutes throughout the day.
Therefore, the time at which both bells will ring together is 10:45 am, and the subsequent times will be 11:30 am, 12:15 pm, 1:00 pm, and so on, with an interval of 45 minutes between each occurrence.
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If you draw a card from a standard deck of 52 playing cards, what is the probability that it is a heart or a diamond?
Answer:
1/2
Step-by-step explanation:
In a deck of cards, there are 13 hearts and 13 diamonds
13+13 = 26 hearts or diamonds
P( hearts or diamonds) = numbers of hearts or diamonds / total
=26/52
= 1/2
what is the value of x with 16 and 45 degrees
Step-by-step explanation:
you make a question we don't understand. can you explain
can I get some help ASAP please?
Answer:
DC
Step-by-step explanation:
DC
It’s opposite the smallest angle.
Using the information below, answer the next 3 questions: The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. For the group of 16, find the probability that the average percent of fat calories consumed is more than thirty-five (Round to 3 decimal places)
Answer: 0.655
Step-by-step explanation:
Let X be a random variable that represents percent of fat calories that a person in America consumes each day.
As per given , X is normally distributed with a mean \(\mu=36\) and a standard deviation \(\sigma=10\).
Sample size : n= 16
The probability that the average percent of fat calories consumed is more than 35:
\(P(\overline{X}>35)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{35-36}{\dfrac{10}{\sqrt{16}}})\\\\=P(Z>\dfrac{-1}{\dfrac{10}{4}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>\dfrac{-4}{10})\\\\=P(Z>-0.4)\\\\=P(Z<0.4)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.655\ \ \ [\text{By p-value table}]\)
Hence, Required probability =0.655
Can credit a customers account up to 20% of full amount due. Customers bill is 333.00, I could offer a credit of?
I could offer a credit of $66.6.
What is percentage?A percentage is a number or ratio expressed as a fractin of 100. It is often denoted using a percent "%" sign.
The given bill of customer = $333.0.
Credit can be given to customer = 20%
Now,I can credit a customers account up to 20% of full amount due
For credit off to be offer,we need to find 20% of $333
⇒ 20% of $333 = 20/100*333
⇒ 20% of $333 = $66.6
Hence, I could offer a credit of $66.6
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Identify the terms and like terms in the question 3n+7-n-3
Answer:
like terms: (3n,-n),(7,-3)
Step-by-step explanation:
Answer:=2n+2
Step-by-step explanation:
3n+7-n-3=2n+2
find the area of the circle 8
Answer:
50.24 in²
Step-by-step explanation:
\(A = \frac{1}{4} \times (22/7) \times 8^2 = 0.25 \times 3.14 \times 64\\= 50.24\)
➲ Hope this helps.
➲ Wish you the best of luck. :)
diameter of circle= 8 inch.
so, radius of circle= d/2 = 4 inch
now
area of circle=πr²
22/7 × (4)²
50.24 inc.
Compute the following using a calculator.
csc(203∘)
Round your answer to the nearest thousandth, and only include the numerical value in your answer - do not write cscθ= in your response.
Using a calculator, the value of csc (203°) is -1.086
How to compute csc (203°) using a calculator?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
Since csc (203°) = 1/[sin (203°)]
Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:
1/[sin (203°)] = -1.086
Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.
Thus, the value of csc (203°) is -1.086
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Is anyone good at geometry if so can someone help me please ?
NO LINKS PLEASE
Answer:
d.
I and IV only.
Step-by-step explanation:
Using the graph determine the coordinates of the zeros of the parabola
Answer:
-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,
Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the function f (x) = StartFraction 10 Over x EndFraction. Suppose the width of the rectangle increases 1 unit, while the area remains constant. Which graph models the length of the new rectangle? On a coordinate plane, a curve opens up and to the right. It goes through (2, 8), (4, 4), and (8, 2). On a coordinate plane, a curve opens up and to the right. It goes through (3, 5) and (6, 2). On a coordinate plane, a curve opens up and to the right. It goes through (1, 5) and (4, 2). On a coordinate plane, a curve opens up and to the right. It goes through (2, 6) and (5, 3).
Option 3 uses a graph to represent the dimensions of the modified rectangle.
Can you explain what a rectangle is?A rectangle is a four-sided shape with equal opposing sides and right angles at 90 degrees.
Simply multiplying the length by the width yields the area of the rectangle.
How can I choose which graph best represents the dimensions of the fresh square?Taking into account the issue at hand, a Rectangle with a width of x units.
The square footage of the rectangle is 10.
The formula f(x) = 10/x
describes the length of the rectangle.
If the breadth increases to (x+1) units, then
∴ A new length notation of 10/(x+1) has been introduced.
The precise graph of f(x) = 10/(x +1) must now be determined from the supplied choices.
When x = 4, y = 2
This means that only the third-best option's graph satisfies the condition
(4, The right graph is in choice 3.
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Martha needs 7 strawberries for every 1 smoothie.
What are the missing values in the table
Answer:
Strawberries Smoothies
28 4
21 3
70 10
Step-by-step explaination
If Maria uses 28 strawberries you would divide that by 7 (since that's how many she uses for one smoothie) after you divide 28 by 7 you get 4, 4 is the number of smoothies 28 strawberries makes.
If Maria makes 3 smoothies you multiple 3 by 7 (since that's how many strawberries she uses to make one) 7 times 3 is 21. If you want to check your work you would divide 21 by 7 (the number of strawberries used for 1 smoothie) and you would get 3.
If Maria uses 70 strawberries you would divide 70 by 7 (the number of strawberries used for 1 smoothie) 70 divided by 7 is 10, 10 is the number of smoothies 70 strawberries make.
In the similar triangles below , what is the measure of D
The measure of angle D is 45°
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. When two triangles are similar, the corresponding angles are equal.
And also the ratio of corresponding sides of similar triangles are equal.
To know the corresponding angles
side AC is corresponding to side EF, therefore angle D is congruent to angle A
angle D = 45°
OR , we can use the sum of angles In a triangle , which is 180°
angle D = 180 -( 72+63)
= 180 - 135
= 45°
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There are four rational numbers which are listed smallest to largest, A, B, C, and D. If the numbers are 5/3 7/15 6/10 and 25/5 , identify which is A, which is B, which is C, and which is D. brainly
The rational numbers are given as follows:
A = 7/15.B = 6/10.C = 5/3.D = 25/5.How to order the rational numbers?To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.
The conversion of each number is given as follows:
5/3 = 1.67.7/15 = 0.47.6/10 = 0.6.25/5 = 5.Hence they are ordered as follows:
7/15, 6/10, 5/3, 25/5.
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Directions: Find the sum for each of the following arithmetic series below. Use the summation
formula to find the sums.
1. A series with six terms, the first term is five, and the common difference is five.
2. A series with six terms, the first term is nine and the common difference is twelve.
3. A series with five terms, the first term is 5.7 and the common difference is 1.4.
Therefore , the solution to the given problem of arithmetic mean comes out to be 1. 105, 2. 234 and 3. 42.5
Arithmetic mean: What is it ?The combination of the amount of all of the values in a list and the number of items in the that list, split by both, is the arithmetic average or mean of the group. The mathematical progression is same to this. This mean of the digits 5, 7, and 9 is 4,
For example, as expression 5 + 7 + 9 is 21, and 21 divided by 3 [there are actually three numbers] equals 7.
Given:
1) There are six terms in AP, with terms a and d each being worth five points.
2) There are 6 terms in AP, with terms 9 and 12 respectively.
3) In AP, there are five terms, where an is 5.7 and d is 1.4.
4) In AP, = 20, t21 = 400
5) In AP, t100 = 99 and a = 0
Find the sum of the terms in the arithmetic series.
As is common knowledge, Sn in the AP equals n/2[2a+(n-1)d]
To determine: the total terms in the arithmetic series
The AP sum of n words is well known. Sn = (n-1)/2[2a+(n-1)d]
1) There are 6 terms in the case where a = 5 and d = 5, as shown by S6 = [2(5)+(61)5] = 3[10+5(5)] = 3[10 + 25] = 3(35) = 105
2) There are 6 terms in the case where a = 9 and d = 12, where S6 = [2(9)+(61)12] = 3[18+5(12)] = 3[18+60] = 3(78) = 234
3) There are 5 terms total, with terms a = 5.7 and d = 1.4.
S5= [2(5.7)+(5—1)1.4] = 2.5[11.4+4(1.4)] = 2.5[11.4+5.6] = 2.5(17) = 42.5
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Write (-2 − 2i) + (10 − 4i) as a complex number in standard form.
Answer:
8-6i
Step-by-step explanation:
complex number in standard form will be in the form of a+bi
(-2 − 2i) + (10 − 4i) , open parenthesis
-2- 2i +10 -4i, group like terms
-2+10 -2i -4i, combine like terms
8 - 6i
1. Find the equation of the image of the circle x² + y2 + 16x-24y + 183 = 0 by rotated the line mirror 4x + 7y + 13 = 0. 2. The image of the circle (x - 3)² + (y-2)² = 1 in the line mirror ax + by = 19 is (x-1)³ + (y-16)2 = 1 then, find the values of (a, b). 3. Find the equation of a line passing through the origin and making an angle with the 4 line y-3x-5. 4. A parabola is drawn with its focus at (3,4) and vertex at the focus of the parabola y²-12x - 4y + 4 = 0. The n find equation of the parabola. 5. If the line ax + by + c = 0 touches the circle x² + y² - 2x = and is normal to the circle x² + y² + 2x - 4y + 1 = 0, then find the value of (a, b). 6. If the line through the points (-2, 6) and (4, 8) is perpendicular to the line through the points (8, 12) and (x, 24). Find the value of x. -3 7.1² 14 231= [] then find the matrix A 8. Find the equation of the ellipse having its center at the point (2,-3), one and one vertex at (4, -3). 3 9. Find the value of x if-1 0 10. Solve the linear system using Cramer's rule a) 2 1 2 4 (6x - 4y = -12 8x - 3y = -2 X = 16 -21 3x + 2y = z = 5 b) x-y+3z = -15 (2x + y +7z = -28 one focus at (3,-3) 11. Find the value of k for which the following system of linear equations has infinite solutions: x + (k+1)y = 5 ((k+1)x + 9y = 8k - 1
Answer:
-72x - 53y + 287 = 0.
Step-by-step explanation:
To find the equation of the image of the circle, we need to reflect each point on the circle in the given line mirror.
The line mirror equation is given as 4x + 7y + 13 = 0.
The reflection of a point (x, y) in the line mirror can be found using the formula:
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
where A, B, and C are the coefficients of the line mirror equation.
For the given line mirror equation 4x + 7y + 13 = 0, we have A = 4, B = 7, and C = 13.
Now, let's find the equations of the image of the circle.
The original circle equation is x² + y² + 16x - 24y + 183 = 0.
Using the reflection formulas, we substitute the values of x and y in the circle equation to find x' and y':
x' = (x - 2Ay - 2B(Ax + By + C)) / (A^2 + B^2)
= (x - 2(4)y - 2(7)(4x + 7y + 13)) / (4^2 + 7^2)
= (x - 8y - 8(4x + 7y + 13)) / 65
= (x - 8y - 32x - 56y - 104) / 65
= (-31x - 64y - 104) / 65
y' = (y - 2Bx + 2A(Ax + By + C)) / (A^2 + B^2)
= (y - 2(7)x + 2(4)(Ax + By + C)) / (4^2 + 7^2)
= (y - 14x + 8(Ax + By + C)) / 65
= (y - 14x + 8(4x + 7y + 13)) / 65
= (57x + 35y + 104) / 65
Therefore, the equation of the image of the circle is:
(-31x - 64y - 104) / 65 + (-57x + 35y + 104) / 65 + 16x - 24y + 183 = 0
Simplifying the equation, we get:
-31x - 64y - 57x + 35y + 16x - 24y + 183 + 104 = 0
-72x - 53y + 287 = 0
So, the equation of the image of the circle is -72x - 53y + 287 = 0.
can someone help me i will give brainlest
Answer:
(48, 3), (80, 5), (160, 10)