Answers
By using the principles of fractions, we can find out that the models represent the problem 3/4 × 3.
Define fractions?A number that represents a percentage of a whole serves as the mathematical representation of a fraction. Fractions can be thought of as any number, any amount, or a portion of an object.
A pizza that has been cut into eight equal pieces. The notation 1/8, which denotes that we are speaking of one portion out of 8 equally sized portions, can be used to refer to a single portion of the pizza.
It indicates one equal part in eight. Furthermore, it can be written as: 1/8
It will be written as 2/8 if we choose to have 2 portions of the pizza. Similar to how we would write 6/8 as a fraction if we were referring to 6 portions of this pizza.
Now here in the question, 3 parts are selected out of 4.
So that suggests it is 3/4.
As there are 3 circular models, so the representation will be as:
3/4 × 3.
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Related Questions
solve the PDE using separation of variables method Uxx = 1/2 Ut 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Answers
The general solution of the partial differential equation is:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
How to solve Partial Differential Equations?The partial differential equation (PDE) is given as:
Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)
Assume that the solution can be written as a product of two functions:
U(x, t) = X(x)T(t)
Substituting this into the PDE, we have:
X''(x)T(t) = (1/2)X(x)T'(t)
Dividing both sides by X(x)T(t), we get:
(X''(x))/X(x) = (1/2)(T'(t))/T(t)
Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:
(X''(x))/X(x) = -λ²
(1/2)(T'(t))/T(t) = -λ²
Simplifying the second equation, we have:
T'(t)/T(t) = -2λ²
Solving the second equation, we find:
T(t) = Ce^(-2λ²t)
Applying the boundary condition U(0, t) = 0, we have:
U(0, t) = X(0)T(t) = 0
Since T(t) ≠ 0, we must have X(0) = 0.
Applying the boundary condition U(3, t) = 0, we have:
U(3, t) = X(3)T(t) = 0
Again, since T(t) ≠ 0, we must have X(3) = 0.
Therefore, we can conclude that X(x) must satisfy the following boundary value problem:
X''(x)/X(x) = -λ²
X(0) = 0
X(3) = 0
The general solution to this ordinary differential equation is given by:
X(x) = Asin(λx) + Bcos(λx)
Applying the initial condition U(x, 0) = 5*sin(4πx), we have:
U(x, 0) = X(x)T(0) = X(x)C
Comparing this with the given initial condition, we can conclude that T(0) = C = 5.
Therefore, the complete solution for U(x, t) is given by:
U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)
where:
Σ represents the summation over all values of n
λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).
To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):
X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0
X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0
From the first equation, we have Bₙ = 0.
From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.
This implies that 3λₙ = nπ, where n is an integer.
Therefore, λₙ = (nπ)/3.
Substituting the eigenvalues into the general solution, we have:
U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)
where Aₙ are the coefficients that can be determined from the initial condition.
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please i’ll fail if i don’t get this right. please i’ll give brainlyist The current temperature of 15°F below zero is 18°F below the high temperature of the day. What is the high temperature for the
day?
OA. 5°F
ов. 33°F
OC. 3°F
OD. 33°F
Answers
Answer:
I think its C
Step-by-step explanation:
It took Alfonzo 25 minutes to shop for a shirt. If he left the store at 2:25 P.M. after buying the shirt, what time did he start shopping?
Answers
The time he start shopping is 2 : 00 PM
How to determine the time he start shopping?From the question, we have the following parameters that can be used in our computation:
Time spent = 25 minutes
Time he left the store = 2 : 25PM
Using the above as a guide, we have the following:
Time he started = Time he left the store - Time spent
substitute the known values in the above equation, so, we have the following representation
Time he started = 2 : 25PM - 25 minutes
Evaluate
Time he started = 2 : 00 PM
Hence, the time he start shopping is 2 : 00 PM
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A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
A graph for p of x is a downward open parabola with its vertex at (5, 725) and passes through the points (negative 10, 0), and (20, 0).
Use the graph to complete each statement about this situation.
The maximum profit the florist will earn from selling celebration bouquets is $.
The florist will break-even after one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is ( , ).
Answers
Answer:
The maximum profit the florist will earn from selling celebration bouquets is $725.
The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.
The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.
Step-by-step explanation:
In Problems 1 and 2,y=1/(1+c1e-x) is a one-parameter family ofsolutions of the first-order DE y'=y-y2. Find asolution of the first-order IVP consisting of this differentialequation and the given initial condition.
1. y(0)=-1/3
Answers
Answer:
\(\displaystyle y=\frac{1}{1-4e^{-x}}\)
Step-by-step explanation:
\(\displaystyle y=\frac{1}{1+C_1e^{-x}}\\\\-\frac{1}{3}=\frac{1}{1+C_1e^{-0}}\\\\-\frac{1}{3}=\frac{1}{1+C_1}\\ \\ 3=-1-C_1\\\\4=-C_1\\\\-4=C_1\)
Thus, the specific solution to the IVP given the initial condition is \(\displaystyle y=\frac{1}{1-4e^{-x}}\)
sarah invests $8200 in a new savings account which earns 5.8% annual interest, compounded semi-annually.
what will be the value of her investment after four years?
Answers
Answer:
The value after 4 years is $10307.11--------------------------------
GivenInvested amount P = $8200,Interest rate r = 5.8% = 0.058,Compound number n = 2,Time t = 4 years.Find the future amount\(A = P(1+r/n)^{nt}\)\(A = 8200(1+0.058/2)^{2*4}=8200*1.029^8=10307.11\)Answer:
$10,307.11
Step-by-step explanation:
Compound Interest Formula
\(\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}\)
where:
A = Final amount.P = Principal amount.r = Interest rate (in decimal form).n = Number of times interest is applied per year.t = Time (in years).Given:
P = $8,200r = 5.8% = 0.058n = 2 (semi-annually)t = 4 yearsSubstitute the given values into the formula and solve for A:
\(\implies \sf A=8200\left(1+\dfrac{0.058}{2}\right)^{2 \times 4}\)
\(\implies \sf A=8200\left(1+0.029\right)^{8}\)
\(\implies \sf A=8200\left(1.029\right)^{8}\)
\(\implies \sf A=8200\left(1.25696445...\right)\)
\(\implies \sf A=10307.10856...\)
Therefore, the value of Sarah's investment after four years is $10,307.11 (nearest cent).
What is the measure of the angle shown? Will mark brainliest!
Answers
Answer:
142
Step-by-step explanation:
4. The line plot shows the amount of vegetables you cook each day for 10 days.
Your friend cooks the same total amount of vegetables, but cooks an equal
amount of vegetables each day. What is the amount of vegetables that your
friend cooks each day?
Vegetables Cooked
N/-+X
2
3
X
-XXX
X
X
X
X
+
1 11/12 1/1/21/2/2
A/w +xx
Vegetables (pounds)
2
pounds
www
22000
***
B
Avoid stres
work by dow
and partici
TY
HOLD
Answers
The amount of vegetables that your friend cooks each day is the constant of the proportional relationship.
What is a proportional relationship?The equation that defines a direct proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality.
For this problem, the relationship for the amount of vegetables is given as follows:
Vegetables = Constant x Days.
Hence the daily amount of vegetables is given as follows:
Constant = Vegatables/Days.
Missing InformationThe problem is incomplete, hence the general procedure to obtain the amount of vegetables that your friend cooks each day is presented.
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Graph the solution to this inequality on the number line (pls help!)
Answers
Answer: A. x <= -3
Step-by-step explanation:
First, let's begin by simplifying the inequality:
-4x >= 12 ← To isolate the x, we need to divide both sides of the inequality by -4 (we must make this change to both sides so that the inequality is still valid). Remember that when dividing an inequality by a negative number, the orientation of the sign switches (greater than → less than, less than → greater then, etc.). So...
-4x / -4 <= 12 / -4 ← Simplify...
x <= -3
Now, we need to find the right number line representing this inequality.
There should be a solid dot over -3, because the inequality includes the value -3 (x includes values less than and equal to -3).The number line should be pointing to the left, towards values less than -3.The number line that fits these criteria would be A.
Question 9 Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am. It will take her an hour from her home to get to Euston Rail Station, from where she will get a train to Birmingham. The train journey from Euston to Birmingham is an hour and 10 minutes. Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. The meeting venue in Birmingham is a 5-minute walk from the station. What is the latest time that Annabelle can leave home, if she is to make it on time for the meeting in Birmingham? Show your working. (8 marks)
Answers
Answer:
Step-by-step explanation:
working backwards
the five minute walk
10:30 - 0:05 = 10:25
train ride to Birmingham
10:25 - 1:10 = 9:15
Next earliest train departure time
9:05
Getting to Euston Station
9:05 - 1:00 = 8:05 am
Probably wise to leave a couple of minutes earlier to allow for minor emergencies on the way to Euston Station or to account for potential clock synchronization errors.
The train schedule already allows an additional 10 minutes of buffer time after boarding.
A loan of $12,000 with interest at 14% compounded annually is to be amortized by equal payments at the end of each year for six years. What will the balance outstanding be after second year?
Answers
FV = PMT x [(1 + r)^n - 1] / r
Where:
FV = future value of the annuity
PMT = the equal payment amount
r = the interest rate per period (in this case, the annual interest rate divided by the number of payment periods per year)
n = the total number of payment periods
In this case, we have:
PMT = the equal payment amount
r = 14% / 1 = 14% per year (since interest is compounded annually)
n = 6 years
We need to first calculate the PMT using the formula for the present value of an annuity:
PMT = PV x [r / (1 - (1 + r)^(-n))]
Where:
PV = present value of the annuity
To find PV, we can use the formula for the present value of a lump sum:
PV = FV / (1 + r)^n
Where:
FV = the total loan amount
r = 14% per year
n = 6 years
Plugging in the values, we get:
PV = $12,000 / (1 + 0.14)^6
PV = $5,070.33
Now we can calculate PMT using the present value:
PMT = $5,070.33 x [0.14 / (1 - (1 + 0.14)^(-6))]
PMT = $2,360.63
Therefore, the equal payment amount is $2,360.63 per year.
To calculate the balance outstanding after the second year of payments, we can use the formula for the future value of an annuity with two years of payments:
FV = PMT x [(1 + r)^n - 1] / r
Where:
FV = the future value of the annuity after two years of payments
PMT = $2,360.63
r = 14% / 1 = 14% per year (since interest is compounded annually)
n = 2 years
Plugging in the values, we get:
FV = $2,360.63 x [(1 + 0.14)^2 - 1] / 0.14
FV = $4,950.53
Therefore, the balance outstanding after the second year of payments is $4,950.53.
4/5 • 5/4 = 1 Determine the property illustrated.
Answers
The algebraic property illustrated is the commutative property of multiplication
What are the properties of algebra?
The properties of algebra are those properties mostly used in simplifying algebraic expressions.
Algebraic properties are:
Commutative property of additionCommutative property of multiplicationAssociative property of additionAssociative property of multiplicationDistributive Properties of Addition Over MultiplicationFrom the expression given we have
4/5 • 5/4 = 1
= 4/ 5 × 5/ 4
= 1
Thus, the algebraic property illustrated is the commutative property of multiplication
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Please help me in confused
Answers
Answer:
20\(c^{6}\)
Step-by-step explanation:
using the rule of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
given
(- 4c³)(- 5c³) ← remove parenthesis
= - 4 × c³ × - 5 × c³
= - 4 × - 5 × c³ × c³
= 20 × \(c^{(3+3)}\)
= 20\(c^{6}\)
Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answers
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
2cos(2x+4)= square root of 3
Answers
Answer:
1)x=13
2)x=Undefined
3)x=20
Step-by-step explanation:
1) 2cos(2x+4)=√3
(2cos(2x+4))/2=√3/2
cos(2x+4)=√3/2
2x+4=cos^-1(√3/2)
2x+4=30
2x=30-4
2x=26
2x/2=26/2
x=13
2)tan2x=0
2x=tan^-1(0)
2x=0
2x/2=0/2
x=undefined
3)Sin^2(3x)=3/4
(sin3x)^2=3/4
√(sin3x)^2=√(3/4)
sin3x=√3/2
3x=sin^-1(√3/2)
3x=60
3x/3=60/3
x=20
Answer:
1)x=13
2)x=Undefined
3)x=20
Step-by-step explanation:
1) 2cos(2x+4)=√3
(2cos(2x+4))/2=√3/2
cos(2x+4)=√3/2
2x+4=cos^-1(√3/2)
2x+4=30
2x=30-4
2x=26
2x/2=26/2
x=13
2)tan2x=0
2x=tan^-1(0)
2x=0
2x/2=0/2
x=undefined
3)Sin^2(3x)=3/4
(sin3x)^2=3/4
√(sin3x)^2=√(3/4)
sin3x=√3/2
3x=sin^-1(√3/2)
3x=60
3x/3=60/3
x=20
expand 2x(3x+2y) thank you
Answers
Answer:
6x^2+4xy
Step-by-step explanation:
You distribute the 2x by multiplying it with each term
2x(3x)+ 2x(2y)
6x^2+4xy
hopes this helps please mark brainliest
if a=1 b =2and c= -3 find the value of a2b2c-2
Answers
Hello !
you made a typo with the c^-2 because otherwise it does not make a round result
\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)
Confusing
Kerrin is making an input-output table for the rule "add 5." What is the output value for an input value of 5?
Options:
A: 0
B :5
C: 10
D: 25
Answers
The calculated output value for an input value of 5 is (c) 10
What is the output value for an input value of 5?From the question, we have the following parameters that can be used in our computation:
Kerrin is making an input-output table for the rule "add 5."
This means that
Output = input + 5
In this case, we have
input = 5
substitute the known values in the above equation, so, we have the following representation
Output = 5 + 5
Evaluate
Output =10
Hence, the output is 10
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8. Choose all decimals that are equivalent to (7 x 100) + (5 × 1) + (8 × 7) + X 10 (1 × 100). 75.081 705.810 705.801 75.810 705.81 705.081
Answers
Answer:
705.81 and 705.810
Step-by-step explanation:
700 + 5 + 0.8 + 0.01 = 705.81
Answers:
705.810
705.81
the literature Club is printing a storybook to raise money the print shop charges $3 for each book plus $45 to create the fair how many books in the club print if their budget is a $525?
Answers
Answer:
160 books
Step-by-step explanation:
the 45 dollars is a one time cost that we can take out right away
\(525 - 45 = 480\)
next, we know that each book costs 3 dollars meaning we can divide by 3 to get the number of books printed from that 480
\(480 \div 3 = 160\)
Answer:
160 books
Step-by-step explanation:
which statements are true about the trigonometric ratios of this triangle
Answers
Answer:
Options (1), (2), (3) and (4)
Step-by-step explanation:
By applying the sine and cosine rules in the given triangle,
sinθ = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
cosθ = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)
cos(30°) = \(\frac{AC}{AB}\)
= \(\frac{11\sqrt{3} }{22}\)
= \(\frac{\sqrt{3}}{2}\)
sin(30°) = \(\frac{BC}{AB}\)
= \(\frac{11}{22}\)
= \(\frac{1}{2}\)
cos(60°) = \(\frac{BC}{AB}\)
= \(\frac{11}{22}\)
= \(\frac{1}{2}\)
sin(60°) = = \(\frac{AC}{AB}\)
= \(\frac{11\sqrt{3} }{22}\)
= \(\frac{\sqrt{3}}{2}\)
Options (1), (2), (3) and (4) are the correct options.
Which of the following steps indicates the distributive property when solving –3(x + 2) = 21?
Question 4 options:
A)
–3x + 2 = 21
B)
–3x – 6 = 21
C)
D)
–3x – 6 = –63
Answers
Answer:
B) –3x – 6 = 21
Step-by-step explanation:
Well the distributive property is the multiplying of a number by more numbers in parenthesis.
For example -3(x + 2) by using the distributive property we get,
-3x - 6
Thus,
the answer is B) -3x - 6 = 21 because it shows the aftermath of the distributive property.
Hope this helps :)
When distributive property applies on 3(x + 2) = 21 expression than it changes as 3x + 6 = 21.
What is distributive property?Distributive property explains us how to solve expressions in the form of a(b + c).
After apply distributive property this term convert as ab+ac.
The given expression is,
3(x + 2) = 21
To solve the expression, use distributive property,
According to distributive property,
a(b + c) changes in the form of ab+ac.
Solve for the given expression,
3x + 2×3 = 21
3x + 6 = 21
Solve for the value of x,
3x = 21 - 6
3x = 15
x = 5
Hence, option (C) is correct.
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Can someone help me answer these
Answers
Answer:
question 7: irrational.
Question 8: rational.
Step-by-step explanation:
If a wheelchair access ramp has to have an angle of elevation no more than 4.8 degrees and it has to rise 18 inches above the ground, how long must the ramp be?
Answers
The wheelchair access ramp must be 216.09 inches long.
To find the length of the wheelchair access ramp, we can use trigonometry.
The tangent function relates the angle of elevation to the ratio of the opposite side (height) to the adjacent side (length of the ramp).
Let's denote the length of the ramp as "x".
The height of the ramp is given as 18 inches.
Using the tangent function:
tan(angle of elevation) = height/length of the ramp
tan(4.8 degrees) = 18/x
To solve for x, we can rearrange the equation:
x = 18 / tan(4.8 degrees)
Using a calculator to evaluate the tangent of 4.8 degrees:
x = 18 / 0.08331
x= 216.09
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5. A triangle is shown.
5x
5x - 219
3x + 45
This
triangle has the same perimeter as an equilateral triangle with a side length of 3x + 58. What is the value
of x?
A. 87
B. 0
C. 23.2
D. 109.5
Answers
Which pair of ratios is proportional?
Answers
Answer:
Ratios are proportional if they represent the same relationship.
Step-by-step explanation:
The ratios 7/14 and 20/40 are in proportion. Therefore, option D is the correct answer.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
Here,
A) 6/21 and 2/42
2/7 and 1/21
So, the given ratios are not in proportion.
B. 25/100 and 50/150
1/4 and 1/3
So, the given ratios are not in proportion.
C. 18/24 and 6/12
3/4 and 1/2
So, the given ratios are not in proportion.
D. 7/14 and 20/40
1/2 and 1/2
The given ratios are in proportion.
Therefore, option D is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which pair of ratios is proportional?
A. 6/21 and 2/42
B. 25/100 and 50/150
C. 18/24 and 6/12
D. 7/14 and 20/40
What are the TERMS in the expression: 7x − 5y − x + 6
A: 7, 5 and 6
B: 7x, 5y, x, and 6
C: x, and y
Answers
Answer: B i think
Step-by-step explanation:
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
Anyone please help with this answer please????????
Answers
Answer:
(2x+5)(-3x+7)
-6x^2-15x+14x+35
-6x^2-x+35
So, the last option is the correct answer.
Let me know if this helps!
of 1
Suppose there is a list of eighteen jokes about marriage and
divorce. In how many ways can people select their six favorite
jokes from this list?
Answers
There are 55692 ways can people select their six favorite
jokes from this list by using combination.
What is combination?
Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organise anything here. We are going to choose them. We use the notation nCr to indicate how many distinct r-selections or combinations there are among a set of n objects. A combination is distinct from an arrangement or a permutation. No matter how the objects are arranged, combinations are produced by choosing some or all of them.
Here the total number of jokes about marriage n= 18
Number of people select jokes r = 6
Now using combination formula,
\(= > nCr= \frac{n!}{r!(n-r)!}\\= > 18C6=\frac{18!}{6!(18-6)!} \\= > 18C6=\frac{18!}{6!(12!)} \\= > 18C6= \frac{18*17*16*15*14*13}{6*5*4*3*2*1} \\= > 18C6= 55692\)
Hence 55692 ways can people select their six favorite
jokes from this list.
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NEED HELP ASAP!!! PLEASE THIS IS DUE SOON
Answers
Answer:
1 is p
2 is np
3 is p
4 is np
(should be right)
Step-by-step explanation: