For each chore Faith does, her mom gives her $5.50. The equation y=5.5x can be used to represnt this situation. What is the constant of proportioality? What does the constant of proportianality represent in the context of the probelm?
Answers
The constant of proportionality for y = 5.5x will be 5.5.
What is defined as the constant of proportionality?The proportionality constant is the ratio that connects two given values in a proportional relationship. The constant of proportionality is also known as the constant ratio, rate constant, unit rate, continuous of variation, and even the rate of change.A directly proportional relationship relation is shown below.
y ∝ x
where
∝ = the proportionality symbol
The variables that are related are y and x. Therefore,
y = kx
where
k is the proportionality constant.
For each chore Faith does, her mom gives her $5.50, which is shown by;
Using y = kx, the equations y = 5.5x can be designed as a directly proportional relationship.
As a result, k = 5.5 has been the proportionality constant.
The proportionality constant for y = 5.5x is 5.5.
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Related Questions
What is the numerical value of the length |QR|? 100 points and brainy if answer.
Answers
Answer:
QR is approximately 20.6.
Step-by-step explanation:
Look at the right triangle SRQ.
In that triangle we know that:
SQ = 55
m∠QSR = 22°
Choosing angle QSR as a reference angle, QR is opposite side and SQ is hypotenuse.
Which of the trigonometrical functions use opposite and hypotenuse?
Recall SOH CAH TOA - SineOppositeHypotenuse CosineAdjacentHypotnuse TangentOppositeAdjacent
Sine uses both opposite and hypotenuse.
\(\sin{\theta} = \frac{\text{opposite}}{\text{hypotenuse}}\)
Aply the formula.
\(\sin{(m\angle\text{QSR})} = \frac{\text{QR}}{\text{SQ}}\)
\(\sin{22^\circ} = \frac{\text{QR}}{55}\)
Multiply with 55 to get rid of the fraction and isolate QR.
\(\sin{22^\circ} \cdot 55 = \frac{\text{QR}}{55}\cdot 55\)
\(\sin{22^\circ} \cdot 55 = \text{QR}\)
\(\text{QR} \approx 20.6\)
Solve logx (512) = 3
Show/Explain your thought process
Need help quick please ToT
Answers
The value of x is after solving the logarithm equation logx⁽⁵¹²⁾ = 3 is 8.
What is a logarithm equation?A logarithmic equation is an equation that involves the logarithm of an expression containing a variable.
To solve the logarithm equation, we follow the steps below.
Given:
logx⁽⁵¹²⁾ = 3Step 1:
Take log to the other side of the equation.Note: When logarithm cross the equality sign, it becomes an indices.Therefore,
512 = x³Step 2:
Convert 512 to index form. (i.e 8³)
8³ = x³...................... Equation 1Comparing both side of equation 1,
x = 8.Hence, the value of x is 8.
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Answerrr plzzzzzz ty:)
What are the Set of positive multiples of 3 that are greater than or equal to 6 and less than or equal to 12?
Answers
Answer:
6,9,12
Step-by-step explanation:
thats the answer they are all multiples of 3, and they are all greater than or equal to 6 and less than or equal to 12
hope this helps x
brainliest plz??
Find the volume of the prism or compound shape.
Answers
Since there are two “half spheres”, their area is: (113.04 x 2)in^3 = 226.08in^3.
Volume of a cylinder = (pi)(r^2)(height) = [(3.14)(9)(10)]in^3 = 282.6in^3.
Total volume = (282.6 + 226.08)in^3 = 508.68in^3.
Which of the type directions lie in the (110) plane? [101] [110] [o īl] (110
Answers
The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.
Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.
Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.
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For trapezoid Q R T U, V and S are midpoints of the legs.
If Q R=12 and U T=22 , find V S .
Answers
In a trapezoid where V and S are the midpoints of the legs Q R and U T, we can use the property that the segment connecting the midpoints of the legs is parallel to the bases and its length is equal to the average of the lengths of the bases.
Given that QR = 12 and UT = 22, we can find VS using the formula:
VS = (QR + UT) / 2
Substituting the values:
VS = (12 + 22) / 2
VS = 34 / 2
VS = 17
Therefore, the length of VS in trapezoid QRTU is 17.
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Can someone please help me ASAP? It’s due tomorrow
Answers
Answer:
0.30.400.1Step-by-step explanation:
tried my best as the first two got me stuck
wouldn't recommend trying my answer and Id wait for another answer
Which of the following arguments are invalid and which are valid? Prove your answer by replacing each proposition with a variable to obtain the form of the argument. Then prove that the form is valid or invalid. The patient has high blood pressure or diabetes or both. The patient has diabetes or high cholesterol or both. The patient has high blood pressure or high cholesterol.
Answers
Both arguments are valid.
The validity of the arguments can be determined by using the concept of propositional logic.
The patient has high blood pressure or diabetes or both. The patient has diabetes or high cholesterol or both.This argument can be represented as: (P∨D∨B)∧(D∨C∨B). The form of the argument is p ∧ q, which is a valid form.
The patient has high blood pressure or high cholesterol.This argument can be represented as: P∨C. The form of the argument is p ∨ q, which is also a valid form.
So, both arguments are valid. The validity of an argument depends on the form of the argument and not the specific proposition used. In both cases, the form of the argument is valid, so the argument is also valid.
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what is the factor X squared plus 4X plus 3 equals 15
Answers
Answer:
(x-2) (x+6)
Step-by-step explanation:
If it is written like this:
\(x^{2} +4x + 3 = 15\)
To focus on the equation on the left rewrite the equation equal to the value of zero.
(x-2) (x +6) = 0
The answer is (x-2) (x+6)
there are 96 boys and 120 girls in grade 9.write down the ratio of the number of boys to the number of girls in the class
Answers
Answer:
16 girls to 20 boys
Step-by-step explanation:
Amani is mailing packages. Each small package costs her $3.40 To send. each large package costs her $4.30. how much will it cost her to send six small packages and seven large packages?
Answers
Answer:
the answer is $50.50,
Answer:50.50
Step-by-step explanation:
working together, it takes two different sized hoses 40 minutes to fill a small swimming pool. if it takes 60 minutes for the larger hose to fill the swimming pool by itself, how long will it take the smaller hose to fill the pool on its own?
Answers
It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.
Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40
Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60
Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60
The amount of swimming pool filled in 1 minute = (60 - 40)/2400
The amount of swimming pool filled in 1 minute = 20/2400
The amount of swimming pool filled in 1 minute = 1/120
Total time taken to fill swimming pool = 1 ÷ (1/120)
Total time taken to fill swimming pool = 120 minutes
Thus, 120 minutes are required.
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what is (14,0) and ( 12,2 ) in slope please help and it due in 1 min
Answers
slope = rise / run
2 + 0 / 12 + 14
2 / 26 = 1 / 13 slope
3. A rectangle has a length of 2x – 9 and a width of x2 + 3x – 4. What is the polynomial that models the area
of the rectangle?
Answers
Answer:
(C) 2x^3 - 3x^2 - 35x + 36
Step-by-step explanation:
First multiply 2x by x^2 + 3x - 4:
(2x)(x^2 + 3x - 4)
2x^3 + 6x^2 - 8x
Next multiply -9 by x^2 + 3x - 4:
(-9)(x^2 + 3x - 4)
-9x^2 - 27x +36
Now add the two polynomials by adding like terms:
(2x^3 + 6x^2 - 8x) + (-9x^2 - 27x +36)
2x^3 + 6x^2 - 9x^2 - 8x - 27x + 36
2x^3 - 3x^2 - 35x + 36
Hope this helps (●'◡'●)
f(x) = 3 x + 1 and g (x) = 2x - 3. find g (f(x))
Answers
Answer:
6x -- 1
Step-by-step explanation:
To Solve for g(f(x)), bear in mind
f(x) = 3x + 1
g(x) = 2x -- 3
g(f(x)) = 2x -- 3. (Calm down right?)
Let x = f(x).
if you recheck g(x) = 2x -- 3 so we got the (x) from it (do you get?)
g(f(x)) = 2(3x + 1) -- 3
g(f(x)) = 6x + 2 -- 3
g(f(x)) = 6x -- 1
#AllonGod
Answer:
Step-by-step explanation:
To find g(f(x)), first, understand that this means we are going to use the function of f(x) where the x would be in g(x).
1. First, identify the x in g(x) and replace it with the function of f(x)
g(x)=2x-3; so g(f(x))= 2(3x+1) -3
2. Simplify the equation by distributing the 2 and combining like terms.
2*3x=6x and 2*1=2, so we are left with 6x+2-3. After, just do 2-3 to end up with
g(f(x))=6x-1
solve the inequality 5x+3> 48
Answers
Answer:
x > 9
Step-by-step explanation:
for this inequality, we want to isolate x, so that we know the inequality of x
5x + 3 > 48
- 3 -3 {subtract 3 from both sides to get x alone}
5x > 45
/5 /5 {divide both sides by 5 to find 1x}
x > 9
So , x > 9 is the inequality in terms of x {is the solution}
hope this helps! :)
Answer:
\(\huge\boxed{\sf x > 9}\)
Step-by-step explanation:
Given inequality:5x + 3 > 48
Subtract 3 to both sides
5x > 48 - 3
5x > 45
Divide 5 to both sides
x > 9
\(\rule[225]{225}{2}\)
2/3 |3x – 6| = 4(x - 2)
solve for the absolute values
Answers
Answer: |3x-6| = 0
X = 2
Step-by-step explanation:
2/3 (|3x-6|) = 4x - 8 (divide both sides be 2/3)
3x-6 = (4x-8)/2/3. 4x:2/3 = 12/2 =6x -8:2/3 = - 24/2= - 12
3x-6 = ( 12x - 24 )/2 (multiply both sides by 2)
6x - 12 = 12x -24
12 = 6x
X= 2
How do you find the area of the base and volume and height
I5 in
13 in
Answers
Volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.
The given figure is a hexagonal pyramid.
The base of the pyramid is hexagon.
We have to find the base of the pyramid by formula :
Base area = 3√3/2a²
Where a is the base length.
Base area = 3√3/2(13)²
= 3√3/2 ×169
=439.07 square inches.
Volume =√3/2b²h
h is height which is 30 in and b is base length of 13 in.
Volume =√3/2×169×30
=√3/2×5070
=2535×√3
=4390.74 cubic inches.
Hence, volume of the pyramid is 4390.74 and base area is 439.07 cubic inches.
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Thoriso can either walk to school at 5km/h or ride her bicycle at 15km/h . If she rides her bicycle.it take her 10 minutes to get to school.
How long will it take her if her walk to school?
Answers
It will take Thoriso 30 minutes to walk to school.
what is speed ?
Speed is a measure of how quickly an object is moving. It is defined as the distance traveled by an object in a given amount of time. The formula for speed is:
Speed = distance / time
The unit of speed depends on the units of distance and time used. Common units of speed include meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph).
Given by the question:
We can use the formula:
time = distance / speed
to calculate the time it will take Thoriso to walk to school.
Let d be the distance from Thoriso's home to school. Since the distance is the same whether she walks or rides her bicycle, we have:
distance walked = distance biked = d
Let's first calculate how long it takes Thoriso to bike to school:
time biked = distance biked / biking speed
time biked = d / 15 km/h
We are given that it takes her 10 minutes (0.167 hours) to bike to school, so we can set up the following equation:
0.167 hours = d / 15 km/h
Solving for d, we get:
d = 2.5 km
Now, we can calculate how long it will take Thoriso to walk to school:
time walked = distance walked / walking speed
time walked = d / 5 km/h
time walked = 2.5 km / 5 km/h
time walked = 0.5 hours or 30 minutes
Therefore, it will take Thoriso 30 minutes to walk to school.
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Given \( n(J)=295, n(K)=194 \) and \( n(J \cup K)=443 \), find \( n(J \cap K) \).
Answers
The number of elements in the intersection of sets J and K is 46.
To find the number of elements in the intersection of sets J and K, we can use the principle of inclusion-exclusion. The principle of inclusion-exclusion states that the cardinality of the union of two sets can be calculated by summing the cardinalities of each set and then subtracting the cardinality of their intersection.
Let's start by understanding the given information:
\(\(n(J)\)\)represents the number of elements in set J, which is 295.
n(K) represents the number of elements in set K, which is 194.
\(\(n(J \cup K)\)\) represents the number of elements in the union of sets J and K, which is 443.
We want to find \(\(n(J \cap K)\)\), which represents the number of elements in the intersection of sets J and K.
Using the principle of inclusion-exclusion, we have the following equation:
\(\(n(J \cup K) = n(J) + n(K) - n(J \cap K)\)\)
Substituting the given values:
(443 = 295 + 194 - n\((J \cap K)\)\)
Now we can solve for \(\(n(J \cap K)\):\)
\(\(n(J \cap K)\) = 295 + 194 - 443
\(\(n(J \cap K)\) = 489 - 443
\(\(n(J \cap K)\) = 46
Therefore, \(\(n(J \cap K) = 46\).\)
In conclusion, the number of elements in the intersection of sets J and K is 46.
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Garrett is 3 years older than Rachael. In 2 years the sum of their ages will be 39. How old is Garrett now?
PLEASE HELP!!! IM GIVING 20 POINTS!!! THANKSSS
Answers
x + 2 + (x + 3) + 2 = 39
2x + 7 = 39
2x = 32
x = 32/2
x = 16
Garrett’s age after two years = 16 + 2 = 18
i have no idea how to do this pls help
Answers
Answer:
2
Step-by-step explanation:
How many 1/4 cups fit in a 1/2 cup?
This is a division problem.
We need to divide 1/2 by 1/4.
1/2 ÷ 1/4 =
= 1/2 × 4/1
= 4/2
= 2
Answer: 2
y=−2x+2
4x+2y=4
Substitute the resulting expression in the other equation
Answers
Answer:
In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.
Step-by-step explanation:
An adult ticket to a corn maze costs $4 more than a child ticket. A senior ticket costs $3 more than a child ticket. Amelia's family has 3 and 2
adults. Manuel's family has 2 children, 1 adult, and 2 seniors. Do the two
families pay the same amount for tickets to the maze? If not, who pays
more? How much more does this family pay? Use c to represent the cost of a child ticket. Show your work (IDENTIFYING EQUIVALENT EXPRESSIONS)
Answers
No, both families do not pay the same amount. Manuel's family pay more amount. This can be found using addition.
What is addition?
Addition is the total amount of the different desired values combined together.
According to the given question:
Considering c represents cost of a child's ticket.
Given adult's ticket cost = c + 4
senior ticket cost = c + 3
Amelia's Family has 3 children and 2 adults.
So the total cost of Amelia's family = 3 × c + 2×(c+4)
= 5c + 8
Manuel's family has 2 children,1 adult and 2 seniors.
So total cost of Manuel's family = 2×c + c + 4 + 2×(c+3)
= 5c + 10
From above answers we can observe that Manuel's family pay more than Amelia's family
Therefore Manuel's family pay $2 more than Amelia's family.
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Coherence
5. Simon's teacher asked him to e-mail her a copy of the outline for his essay on American
History: When drafting the e-mail, what level of diction should Simon use?
informal
formal
standard
foundational
Answers
Answer:
The correct option is;
Formal
Step-by-step explanation:
The common levels of diction are formal, informal, and popular, with formal diction being the most selective of the word choices
Formal diction is used when when communicating in a situation that is formal
Formal diction uses languages that is devoid of slang and grammatically correct
Formal language is precise, grammatically correct language that does not use slang used in communication for legal, professional, business and academic purposes.
Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed
2(multiplicity 2) 5+i (multiplicity 1)
Answers
The polynomial function will be y = (x⁴-14x³+70x²-144x+104)
2 and 5+i are the roots of the given polynomial and the multiplicity of 2 and 5+i are 2 and 1 respectively.
Thus, the general form of the polynomial will be given as:
y = (x-2)² (x-(5+i)) (x-(5-i)) [as (5-i) is conjugate of (5+i)]
y = (x²+4-4x) (x-5-i) (x-5+i)
y = (x²-4x+4) (x²-5x+xi-5x+25-5i-xi+5i-i²)
y = (x²-4x+4) (x²-10x+25+1) [as i²= -1]
y = (x²-4x+4) (x²-10x+26)
y = (x⁴-10x³+26x²-4x³+40x²-104x+4x²-40x+104)
y = (x⁴-14x³+70x²-144x+104)
Thus, the polynomial is y = (x⁴-14x³+70x²-144x+104)
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8 1/6 = 5 2/5 + m
pls
Answers
The value of m in the given expression is 2 23/30.
The given expression is 8 1/6 = 5 2/5 + m.
We subtract 5 2/5 on both sides.
8 1/6 - 5 2/5 = m.
8 1/6 can be written as 49/6.
5 2/5 can be written as 27/5.
Now, 49/6 - 27/5 = m.
The Least Common Multiple(LCM) of 6 and 5 is 30.
(49*5 - 27*6)/30 = m.
(245 - 162)/30 = m.
m = 83/30.
m = 2 23/30.
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The complete question is, Find the value of m in the expression 8 1/6 = 5 2/5 + m.
hi so... im horrible at math and can't figure this out so can someone pls answer this? and in the most simplified way possible because my tiny brain can't handle too many steps aha. WILL GIVE BRAINLIEST... just so u guys know l mao
Answers
solve for x x(x+3)=2(x+15)
Answers
Answer:
x = -27
Step-by-step explanation:
x(x+3)=2(x+15)
x+3=2x+30
x+3-2x+30
x-2x=30-3
-x=30-3
-x=27
x = -27
f(x) = √1/2x + 6 - 4
Answers
Answer:
x=4
Step-by-step explanation: