Answer:
Cubic
Step-by-step explanation:
He has widht, heigh and length.
The cubic function is used to represent the length, width or height of a box. The correct option is C.
What is a cubic function?The cubic function is defined as a function having a degree of three. It is the same as that of cubic polynomials.
A cubic function is defined in mathematics as a function of form f(x)=ax³+bx²+cx+d, where the coefficients a, b, c, and d are complex numbers and the variable x takes real values.
The box has three dimensions that are length, width, and height. The volume of the box will be calculated by the product of the three sides of the box.
There are three dimensions involved in the calculation of the volume of the box. It means that the volume will be a cubic function.
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what is 351.86 in terms of pi?
Answer:
It can either be 17593pi/9000 rad or if youre looking for a decimal answer is it 1.95pi and rad=6.14
Step-by-step explanation:
Christine made $143 for 11 hours of work.
At the same rate, how many hours would she have to work to make $221?
Answer:
17
Step-by-step explanation:
Which situation involves permutations? A. choosing 5 people out of 15 to participate in a survey B. choosing 3 flavors of ice cream out of 15 for an ice-cream sundae C. choosing a dozen flowers out of 30 to create a bouquet D. choosing first second-, and third-place winners in a cooking contest
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Answer:
D. choosing first second-, and third-place winners in a cooking contest
Step-by-step explanation:
Permutations are involved when order matters. The order of people surveyed, sundae flavors, and flowers are irrelevant. The order of first-second-third is entirely relevant.
Cooking contest winners involve permutations.
Suzanne correctly answered 32 of the 40 questions on her math test
What decimal is equivalent to the fraction of questions Suzanne answered correctly?
Enter your answer in the box.
Answer:
Step-by-step explanation: 50 million
45 cows can graze a field in 13 days. How many cows will graze the same field in 9 days
Answer:
65 cows
Step-by-step explanation:
Inverse rule of three
[tex]45-------13\\x -------- 9[/tex]
[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]
Hope this helps
1 32 multiplied by 0.32 when rounded to the nearest hundredths
Answer:
42.20
Step-by-step explanation:
132 ×0.32
=42.24
rounded off it give 42.20
Are the following polynomial sets open or closed?
6. (x ^ 2 + x - 4) - (x ^ 2 + x + 8)
7. (2 - x)(1 + 3x)
8. (5b - 3c)(7b - 3c)
Answer:
All closed.
Addition, subtraction as well as multiplication of polynomials result into another polynomial. Therefore, the set of polynomials is closed under addition, subtraction and multiplication.
Open polynomial set is (x² + x - 4) - (x² + x + 8)
Closed polynomial sets are (2 - x)(1 + 3x) and (5b - 3c)(7b - 3c)
What is polynomial?A polynomial is an expression consisting of variables and their coefficients, operations of addition, subtraction, multiplication, and positive-integer powers of variables are involved in polynomial. If the result of a polynomial set applying different operations is polynomial then it is closed under that operation.
Given, polynomial sets
(x² + x - 4) - (x² + x + 8)
Applying subtraction operation
x² + x - 4 - x² - x - 8
Subtracting like terms
-12
The result is integer, it is open polynomial set
(2 - x)(1 + 3x)
Applying multiplication operation
2 - x - x - 3x²
= 2 - 2x - 3x²
The result is polynomial, it is closed polynomial set
(5b - 3c)(7b - 3c)
Applying multiplication operation
35b² - 15bc - 21bc + 9c²
= 35b² - 36bc + 9c²
The result is polynomial, it is closed polynomial set
Hence, (x² + x - 4) - (x² + x + 8) is an open polynomial set
(2 - x)(1 + 3x) and (5b - 3c)(7b - 3c) are closed polynomial sets.
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Write the ratio as a ratio of whole numbers using fractional notation.
45 days to 24 days
The ratio of 45 days to 24 days can be written in fractional form as
(Type the ratio as a simplified fraction.)
Answer:
15:8=15/8
Step-by-step explanation:
45:24=45/24
15/8=15:8
4.
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = 6x2 + x − 12
A. linear function; linear term: x; constant term: −12
B. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
D. linear function; linear term: 6x2; constant term: −12
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Answer:
C. quadratic function; quadratic term: 6x^2; linear term: x; constant term: −12
Step-by-step explanation:
A function is "quadratic" when the degree (exponent) of the highest-degree term is 2. The "quadratic" term is the one with degree 2.
The "linear" term is the one that has degree 1.
The "constant" term has no variable.
In the quadratic function ...
f(x) = 6x^2 +x -12
the quadratic term is 6x^2
the linear term is x
the constant is -12
Answer: The answer is either letter B or letter C
C. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
Step-by-step explanation:
Find the degree of the function to determine if linear. f ( x ) = 6 x 2 + x − 12 is not a linear function
Nothing further can be done with this topic. Please check the expression entered or try another topic. f ( x ) = 6 x 2 + x − 12
Clip 102
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Standard Questions
Question Progress
Two families go to a zoo.
The Smith family of two adults and three children pay £66.
The Jones family of three adults and five children pay £105.
Work out the cost of an adult ticket and the cost of a child ticket.
In your working, let 'a'stand for an adult ticket and 'C'stand for a child ticket.
Answer:
Let's solve your system by elimination.
2a + 3c =66 ; 3a + 5c = 105
Multiply the first equation by 5,and multiply the second equation by -3.
5 (2a + 3c = 66)
−3 (3a + 5c = 105)
Becomes:
10a + 15c = 330
−9a − 15c = −315
Add these equations to eliminate c:
a = 15
Now that we've found a let's plug it back in to solve for c.
Write down an original equation:
2a + 3c = 66
Substitute 15 for a in 2a + 3c = 66:
(2)(15) + 3c = 66
3c + 30 = 66 (Simplify both sides of the equation)
3c + 30 −30 = 66 −30 (Add -30 to both sides)
3c = 36
3c3= 363 (Divide both sides by 3)
c = 12
Answer:
a = 15 and c = 12
increase 400 in the ratio 3:5
decrease 400 in the ratio 3:5
Answer:
Given 3:5 = 3+5=10,
400*3/8=150,
400*5/8=250.
What is the slope of the line between the points ( 2 , 7 ) and ( 7 , 1 )?
Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )
m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]
Hello there! :)
To find the slope of the line when we are given 2 points, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]
So the slope is -6/5. Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]MysteriousNature :)[/tex]
A type of bacterium triples in population every hour. Assuming you start with
80 bacteria, the formula that models the number of bacteria at the beginning
of hour nis:
a(n) = 80 • 31-1
How many bacteria will there be at the beginning of hour 5?
A. 19,440
B. 1200
C. 720
D. 6480
Answer:
Here
Step-by-step explanation:
It is B Because if you do (8 times 3)5 it equals 1200
these two figures are similar find the length of the side x
Answer:
6.7 in bcoz 4-3.2=0.8 and 7.5-0.8=6.7
Answer:
x = 6
Step-by-step explanation:
This problem can be solved by setting up ratios. The ratio of lengths is 4: 3.2, so we can say that the same ratio should apply to the widths. Thus we get the equation, [tex]\frac{4}{7.5} = \frac{3.2}{x}[/tex], and we get x = 6.
PLEASE HELP! Economics
100 francs = 50 dollars
Exchange rate = 50/100
= 1/2
= 0.50 dollars per franc (C)
Note :-
It's dollars per franc because here the dollar has more value.
______
RainbowSalt2222 ☔
Answer:
Im pretty sure it is c
Step-by-step explanation:
Keshawn is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 5 miles.
Answer:
14 m actural sif 124075n
Step-by-step explanation:
no link no bot right answer
A committee is formed consisting of one representative from each of the 4 departments (CS-IS-IT-SW) in the computer science college, where the representative from a department is either the president or one of the two representatives from that department. How many ways are there to form this committee?
Step-by-step explanation:
each department has 3 options for their representative.
and each of these options can be associated with the 3 options of the next department. and so on.
so, we have
3×3×3×3 = 3⁴ = 81
possibilities to firm that committee overall.
Differential Equation
1. The given equation is probably supposed to read
y'' - 2y' - 3y = 64x exp(-x)
First consider the homogeneous equation,
y'' - 2y' - 3y = 0
which has characteristic equation
r² - 2r - 3 = (r - 3) (r + 1) = 0
with roots r = 3 and r = -1. Then the characteristic solution is
[tex]y = C_1 e^{3x} + C_2 e^{-x}[/tex]
and we let y₁ = exp(3x) and y₂ = exp(-x), our fundamental solutions.
Now we use variation of parameters, which gives a particular solution of the form
[tex]y_p = u_1y_1 + u_2y_2[/tex]
where
[tex]\displaystyle u_1 = -\int \frac{64xe^{-x}y_2}{W(y_1,y_2)} \, dx[/tex]
[tex]\displaystyle u_2 = \int \frac{64xe^{-x}y_1}{W(y_1,y_2)} \, dx[/tex]
and W(y₁, y₂) is the Wronskian determinant of the two fundamental solutions. This is
[tex]W(y_1,y_2) = \begin{vmatrix}e^{3x} & e^{-x} \\ (e^{3x})' & (e^{-x})'\end{vmatrix} = \begin{vmatrix}e^{3x} & e^{-x} \\ 3e^{3x} & -e^{-x}\end{vmatrix} = -e^{2x} - 3e^{2x} = -4e^{2x}[/tex]
Then we find
[tex]\displaystyle u_1 = -\int \frac{64xe^{-x} \cdot e^{-x}}{-4e^{2x}} \, dx = 16 \int xe^{-4x} \, dx = -(4x + 1) e^{-4x}[/tex]
[tex]\displaystyle u_2 = \int \frac{64xe^{-x} \cdot e^{3x}}{-4e^{2x}} \, dx = -16 \int x \, dx = -8x^2[/tex]
so it follows that the particular solution is
[tex]y_p = -(4x+1)e^{-4x} \cdot e^{3x} - 8x^2\cdot e^{-x} = -(8x^2+4x+1)e^{-x}[/tex]
and so the general solution is
[tex]\boxed{y(x) = C_1 e^{3x} + C_2e^{-x} - (8x^2+4x+1) e^{-x}}[/tex]
2. I'll again assume there's typo in the equation, and that it should read
y''' - 6y'' + 11y' - 6y = 2x exp(-x)
Again, we consider the homogeneous equation,
y''' - 6y'' + 11y' - 6y = 0
and observe that the characteristic polynomial,
r³ - 6r² + 11r - 6
has coefficients that sum to 1 - 6 + 11 - 6 = 0, which immediately tells us that r = 1 is a root. Polynomial division and subsequent factoring yields
r³ - 6r² + 11r - 6 = (r - 1) (r² - 5r + 6) = (r - 1) (r - 2) (r - 3)
and from this we see the characteristic solution is
[tex]y_c = C_1 e^x + C_2 e^{2x} + C_3 e^{3x}[/tex]
For the particular solution, I'll use undetermined coefficients. We look for a solution of the form
[tex]y_p = (ax+b)e^{-x}[/tex]
whose first three derivatives are
[tex]{y_p}' = ae^{-x} - (ax+b)e^{-x} = (-ax+a-b)e^{-x}[/tex]
[tex]{y_p}'' = -ae^{-x} - (-ax+a-b)e^{-x} = (ax-2a+b)e^{-x}[/tex]
[tex]{y_p}''' = ae^{-x} - (ax-2a+b)e^{-x} = (-ax+3a-b)e^{-x}[/tex]
Substituting these into the equation gives
[tex](-ax+3a-b)e^{-x} - 6(ax-2a+b)e^{-x} + 11(-ax+a-b)e^{-x} - 6(ax+b)e^{-x} = 2xe^{-x}[/tex]
[tex](-ax+3a-b) - 6(ax-2a+b) + 11(-ax+a-b) - 6(ax+b) = 2x[/tex]
[tex]-24ax+26a-24b = 2x[/tex]
It follows that -24a = 2 and 26a - 24b = 0, so that a = -1/12 = -12/144 and b = -13/144, so the particular solution is
[tex]y_p = -\dfrac{12x+13}{144}e^{-x}[/tex]
and the general solution is
[tex]\boxed{y = C_1 e^x + C_2 e^{2x} + C_3 e^{3x} - \dfrac{12x+13}{144} e^{-x}}[/tex]
simplify fully
2√3 x 3√8
Answer: 12√6
Step-by-step explanation:
Given the expression;
2√3 * 3√√8
= (2*3) * (√3*√8)
= 6 * (√24)
= 6 * √4*6
= 6 * (2√6)
= (6*2)√6
= 12√6
Therefore, the simplified form of the expression is 12√6.
Can someone help me please I’ve been stuck for a week :(
Answer:
8/25.
Step-by-step explanation:
As a fraction it is 32/100 but simplified is 8/25 :)
convert this fraction to a decimal 1/200
Answer:
0.005
Step-by-step explanation:
2(x + 1) - 3x
howwwwwww
Answer:
a = -x + 2
Step-by-step explanation:
First, you must distribute to get 2x + 2 and adding in the -3x it equals 2x + 2 - 3x = a
Combine the like terms to get -x + 2 = a
Since there is 2 variables then the answer will stay a = -x + 2 because x or a must be substituted in order to find the other variable
Hey everyone! Need this question ASAP. Can anybody help me? (Look at photo)
Two relationships are described below: Relationship A: It took 2 people 12 hours to build a deck. It would have taken 3 people 4 hours to build the same deck. Relationship B: Jack earned $24 after 3 hours of work. Then, he earned $40 after 5 hours of work. Which statement is true about these relationships?
Answer:
im pretty sure its b but if its not then i apologise
A school has 147 third graders. The third grade teachers have planned a special treat for the last day of school and brought ice cream for their students. There are three flavors: mint chip, chocolate, and strawberry. Suppose that 60 students like (at least) mint chip, 103 like chocolate, 50 like strawberry, 30 like mint chip and strawberry, 40 like mint chip and chocolate, 25 like chocolate and strawberry, and 18 like all three flavors. How many students don't like any of the flavors available
The union of { 1, 2, 3, 4, 5, 6 } and { 4, 5, 6, 7, 8, 9, 10} is ( 4, 5, 6 }. True or false?
Answer:
Below:
Step-by-step explanation:-
The answer is in the comment!! someone answered your question!!
Answer:
false this is because the answer would contain all the values in both sets
Jon makes 20 free throws in practice on
Monday. He makes 25% more free throws
on Friday than Monday. Enter the number
of free throws Jon makes on Friday.
Show your work.
Answer:
25 free throws on Friday.
Step-by-step explanation:
On Monday made 20 free throws
On Friday made 25% more free throws on Friday than Monday
On Friday made 20 free throws + 25% of Monday free throws
On Friday = Monday throws + 25% × Monday throws
On Friday = 20 + (.25 × 20)
On Friday = 20 + 5
On Friday = 25
You exchange 50 AED, and receive 12 Euro. How many Euros would you receive for 1 AED? Please explain step by step on how you solved the problem. (Using equations like multiplication, devision, adding, subtracting.)
Answer:
Step-by-step explanation:
if 50 AED= 12 Euro
for 1 AED ? Euro
50AED/1AED= 12Euro/x
cross multiplication:
50*x=12*1
50*x=12
x=12/50
x=0.24 Euro
so for 1AED you will get 0.26 Euro
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
Answer:
58 2/3 fps
Step-by-step explanation:
To convert a speed value from miles per hour to feet per second, multiply it by 5280, then divide by 3600.
40 * 5280 = 211200
211200 / 3600 = 58.6666..... [58 2/3]
A local animal shelter has many cats and dogs. The shaded part represents the percent of animals that are dogs. If there are 82 dogs, how many animals are there in total?
Answer:
weel if you divide 82 by 2 then it you will get the number of cats which is 41 then add 82 + 41 =123
Step-by-step explanation:
mark me brainliest
