The perimeter of the rectangle is P = (17.2x₊16.4).
Given that,
Length, l = 8.6x₊3
Width, b = 5.2
In the formula P=2l+2w, where l is the rectangle's length and w is its width, the perimeter P of a rectangle is determined. Using the formula A=l×w, where l is the length and w is the width, we can determine the area A of a rectangle.
We need to find the expression for the perimeter of the rectangle. The formula for the perimeter of the rectangle is given by :
P=2(l₊b)
Putting values of l and b in the above formula:
p = 2(8.6x ₊ 3 ₊ 5.2)
= 2(8.6x ₊ 8.2)
= 2(8.6x) ₊ 2(8.2)
= 17.2x ₊ 16.4
So, the required perimeter of the rectangle is 17.2x₊16.4.
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rita traveled 1,250 miles in the first 3 days of her trip. at this rate, how long will it take her to travel 1,875 miles? how much would it cost
The number of days took by Rita to travel the distance of 1,875 miles is 4.5 days.
What is termed as unitary method?We will learn how to calculate the value of such a unit from value of a multiple and thus the value of a multiple from value of a unit using the unitary method.
In general, we first calculate the value of one article from value of a multiple, and then calculate the value of the preferred number of articles from value of one. Typically, this method involves both multiplication and division operations.If we know the cost of one object, we can calculate the cost of many objects besides multiplying the cost of one object by the number of objects.Now, as per the given question;
The total day taken by Rita to cover 1,250 miles is 3.
Thus, 1250 miles ----> 3 days
Let number of days taken by Rita to cover 1875 miles is 'x'.
So, 1875 miles ----> x
Then, the total distance will be
1875×(3) = 1250x
x = (1875×3)/1250
x = 4.5 days
Therefore, the total time taken by Rita to finish the distance of 1,875 miles is 4.5 days.
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Write an algebraic expression for “the quotient of 16 and b”.
A.
16 + b
B.
16 - b
C.
16 * b
D.
16 ÷ b
Answer: D
Step-by-step explanation:
Quotient means division
The second-order decomposition of hi has a rate constant of 2.80 x 10-3 m-1s-1. how much hi remains after 78.3 s if the initial concentration of hi is 3.56 m?
In the Second order decomposition, 2.0008 m are needed after 78.3 s, the concentration of the remaining HI is 3.56 m.
Second-Order Reaction:
A second-order reaction system with a single reactant species will have a squared dependence of the reaction rate on this reactant's molarity value. Therefore, the rate will show an exponential decrease over time as the reactant is consumed.
The integrated rate law for a second-order reaction is
1/[A]t = 1/[A]0 + kt
where
[A]t = the concentration of A at time t
[A]0 = the concentration of A at time 0 (i.e., at the beginning of the reaction)
k = the rate constant for the reaction
Given,
The second-order decomposition of hi has a rate constant of 2.80 x 10⁻³ m⁻¹s⁻¹.
Time = 78.3 s
Initial Concentration = 3.56 m
Here we need to find the second order decomposition.
Apply the values on the formula,
Then we get,
=> 1/[A]t = 1/(3.56 m) + 2.80 × 10⁻³ m⁻¹s⁻¹ x 78.3 s
=> 1/[A]t = 0.28 m⁻¹ + 0.2192 m⁻¹
=> 1/[A]t = 0.4992 m⁻¹
=> 1/[A]t = 1/0.4992 m
=> 1/[A]t = 2.0008 m
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4. find the equation, in parametric scalar form, for the line that passes through the points (5,2,7) and (8,–6,1) then determine whether the point (17,–30,31) is on the line.
The parametric equation of the line that passes through the points (5,2,7) and (8,–6,1) is [tex]\vec r= < 5,2,7 > +\lambda < 3,-8,-6 >[/tex]
Also, the point (17,–30,31) does not lie on the line.
for given question,
We need to find the parametric equation of the line that passes through the points (5,2,7) and (8,–6,1)
Let [tex]\vec r_0= < 5,2,7 >[/tex]
and
[tex]\vec v= < 8-5,-6-2,1-7 > \\\\\vec v= < 3,-8,-6 >[/tex]
where vector v is the direction vector.
So, the equation of the line would be,
[tex]\vec r=\vec r_0+\lambda \vec v\\\\\vec r= < 5,2,7 > +\lambda < 3,-8,-6 >[/tex]
Now we need to determine whether the point (17, -30, 31) is on the line.
Let [tex]< 17,-30,31 > = < 5,2,7 > +\lambda < 3,-8,-6 >[/tex]
For first component,
⇒ 17 = 5 + 3λ
⇒ 3λ = 12
⇒ λ = 4
For the second component,
⇒ -30 = 2 - 8λ
⇒ -8λ = -32
⇒ λ = 4
For third component,
⇒ 31 = 7 - 6λ
⇒ -6λ = 24
⇒ λ = -4
since the values of the λ are not consistent, the point (17,–30,31) does not lie on the line.
Therefore, the parametric equation of the line that passes through the points (5,2,7) and (8,–6,1) is [tex]\vec r= < 5,2,7 > +\lambda < 3,-8,-6 >[/tex]
Also, the point (17,–30,31) does not lie on the line.
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Translate the sentence into an equation.
Four more than the product of a number and 3 is equal to 5.
Use the variable c for the unknown number.
0
0=0
ローロ
X
8 0+0
メロ
S
The correct answer 4+3w=5.
Variables in an equation are typically English alphabets and can have any real value that the equation is satisfied with. They also include coefficients and constants. In an equation, constants are the independent numbers for the variables, and coefficients are the numbers connected to the variables. Algebraic equations with orders equal to one or one are known as linear equations.
An analytical claim that two things are equal is known as an equation. Either a term or an expression are present in an equation. An equation is a statement of equality in mathematics that contains one or more variables.
Let the unknown variable be w,
4+(w×3)=5
4+3w=5
Solving ,
3w=5-4
3w=1
w=1/3
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Can someone help me with this I'm very lost and I have to do division KCF to multiply also do a tape diargham (I only need help with the diagram and division model
The number of groups of 3/4 that are in 11/4 will be 3 2/3.
The number of 3/4 that are in 6 1/2 will be 8 2/3.
How to calculate the value?It should be noted that from the diagram given, you want to get solutions to the numbers circled and this will be solved accordingly.
The number of groups of 3/4 that are in 11/4 will be:
= 11/4 ÷ 3/4
= 11/4 × 4/3
= 11/3
= 3 2/3
Also, the number of 3/4 that are in 6 1/2 will be:
= 6 1/2 ÷ 3/4
= 13/2 ÷ 3/4
= 13/2 × 4/3
= 26/3
= 8 2/3
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can someone help me with this problem?
Using complementary angles, the measure of angle 4 is of 39º.
What are complementary angles?If two angles A and B are complementary, the sum of their measures is of 90º.
In this problem, angles 3 and 4 are complementary, hence:
m<3 + m<4 = 90º.
Angles 1 and 3 are opposite by the same vertex, hence they are congruent and we can find x as follows:
m<1 = m<3
4x - 13 = 2x + 19.
2x = 32
x = 16.
The measure of angle 3 is given by:
m<3 = 2(16) + 19 = 51.
Hence the measure of angle 4 is found as follows:
m<3 + m<4 = 90º.
51 + m<4 = 90º.
m<4 = 39º.
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What is the slope of segment AB? Round to the nearest tenth
answer:
3/8 is the slope, also stated as .4 (from 3.75)
the segment length is 8.5 (using the pythagorean theorem)
An orca is swimming at the surface of the water and dives below the surface 25.5 feet. Then the orca swims up 1214feet. What is the location of the orca relative to the surface of the water?
The location of the orca relative to the surface of the water is 13.36 below the surface
How to determine the location of the orca relative to the surface of the water?The given parameters are
Initial = 0 feet i.e surface of the water
Dives below = 25.5 feet.
Swims up = 12.14 feet.
The location of the orca relative to the surface of the water is calculated as
Location = Initial - Dives below + Swims up
This gives
Location = 0 - 25.5 + 12.14
Evaluate
Location = -13.36
Hence, the location of the orca relative to the surface of the water is 13.36 below the surface
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56% of the students at a college are from in-state. if 2,380 students are from in-state, how many students attend the college?
Answer:
Step-by-step explanation:
Answer is 4250 students attend the college
4250 x .56 = 2,380
[tex]x^{3} -4;x=\frac{2}{3}[/tex]
Answer: -100/27
Step-by-step explanation:
[tex]x^3 - 4[/tex]=
[tex](\frac{2}{3} )^3 - 4[/tex]=
[tex](\frac{2^3}{3^3} ) - 4[/tex]=
[tex]\frac{8}{27} - 4[/tex]=
([tex]\frac{8}{27} - 4[/tex])*27/27= ==> multiply by 27 to get rid of denominator
(8-4*27)/27=
(8-108)/27=-100/27
How many weeks does it take her to have $250 in her bank account? Mark this point on the graph.
Answer:
Could you show how the graph looks like?
Step-by-step explanation:
At the rate of 4 peaches for a half dollar, 20 peaches will cost
Answer:
$2.50
Step-by-step explanation:
what is the slope, y intercept, and equation
Answer:
y=3x-7
Step-by-step explanation:
Choose 2 points.
(3, 2) and (4, 5)
Use slope formula.
y2-y1/x2-x1
5-2/4-3=
=3/1=3
Slope is 3.
The y-intercept is when x is 0. The y-intercept was already given. It is -7.
Y-intercept is -7.
Now you can use the slope-intercept formula.
y=mx+b
m=slope=3
b=y-intercept=-7
y=3x-7
Hope this helps!
Please mark as brainliest if correct!
Which relation is a function?
Answer: I hope this helps you.
Step-by-step explanation:
The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.
Answer:
scale factor = 3
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, copy to original , so
scale factor = [tex]\frac{12}{4}[/tex] = [tex]\frac{9}{3}[/tex] = 3
need help with homework
Answer:
third one for me same thing.
How many unit segments are there from 3 to 7?
The unit segments from 3 to 7 are infinite.
The number from 3 to 7 is given.
We have to find out the no. of segments between the two numbers.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.
As per the question ;
Consider any number x such that 3 < x < 6
Then ;
The segment from x to x+1 is a unit segment and, by definition, it will lie within the interval to 7.
As, there are infinitely many possible choices for x, then there are infinitely many unit segments.
i.e.,
from 3 to 4
from 3.1 to 4.1
from 3.01 to 4.01
from 3.00002 to 4.00001
and you can keep adding decimal digits forever.
Thus , there are infinite unit segments from 3 to 7.
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math wizards please help i need more help afterwards please
Answer: 32 copies $3170
Step-by-step explanation:
A hockey player needs to shoot a puck 55 meters from his current location to his opponent’s goal to score a goal. After the shot, the puck is 120 centimeters from his opponent’s goal. If there are 100 centimeters in 1 meter, how many meters did the puck travel? PLEASE HELP I HATE MATH-
The puck travelled a distance of 53.8 meters when the puck is 120 centimeters before the opponent's goal and puck travelled a distance of 56.2 meters when the puck is 120 centimeters after the opponent's goal.
Given that the distance to the opponent's goal from the player's current position is 55 meters. And after the shot, the puck is 120 centimeters from his opponent's goal.
We need to find out how many meters the puck travelled.
Also given there are 100 centimeters in 1 meter.
So, 55 meters = 55 × 100 centimeters
⇒ 55 metets = 5500 centimeters
Now, we are given that the puck is 120 centimeters from the opponent’s goal. It is not clear whether the puck landed before or after the goal post. So, considering both cases.
Case 1: the puck is 120 centimeters beyond the opponent's goal.
So, the distance travelled by the puck is
5500 centimeters + 120 centimeters = 5620 centimeters
Divide 5620 by 100 to convert centimeters to meters.
The puck travelled a distance of 5620 cm or 56.2 meters.
Case 2: the puck is 120 centimeters before the opponent's goal.
So, the distance travelled by the puck is
5500 centimeters - 120 centimeters = 5380 centimeters
Divide 5380 by 100 to convert centimeters to meters.
The puck travelled a distance of 5,380 cm or 53.8 meters.
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Suppose you buy 3 shirts and 2 pairs of slacks on sale at a clothing store for 72. The next day, a friend buys 2 shirts and 4 pairs of slacks for 96. If the shirts you each bought were all the same price and the slacks were also all the same price, then what was the cost of each shirt and each pair of slacks?
Taking into account the definition of a system of linear equations, the cost of each shirt is 12 and the cost of each pair of slacks is 18.
System of linear equationsA system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is to say, the values of the unknowns must be found and they must give the solution proposed in both equations.
This caseIn this case, a system of linear equations must be proposed taking into account that:
"S" is the cost of each shirt."PS" the cost of each pair of slacksYou buy 3 shirts and 2 pairs of slacks on sale at a clothing store for 72. The next day, a friend buys 2 shirts and 4 pairs of slacks for 96.
So, the system of equations to be solved is
[tex]\left \{ {{3S + 2PS=72} \atop {2S + 4PS=96}} \right.[/tex]
To solve a system of equations, it is decided to solve it using the substitution method, which consists of clearing one of the two variables in one of the equations of the system and substituting its value in the other equation.
Isolating the variable S from the first equation, you obtain:
3S= 72 - 2PS
S= (72 - 2PS)÷3
S= 72÷3 - 2PS÷3
S=24- 2/3PS
Replacing this expression in the second equation:
2(24 - 2/3PS) + 4PS= 96
Solving:
2×24 - 2×2/3PS+ 4PS= 96
48 - 4/3PS + 4PS= 96
48 + 8/3PS= 96
8/3PS= 96 - 48
8/3PS= 48
PS= 48÷ 8/3
PS= 18
Replacing this value in the expression S=24- 2/3PS, you obtain:
S= 24 -2/3×18
S= 24 - 12
S= 12
Finally, the cost of each shirt is 12 and the cost of each pair of slacks is 18.
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IMPORTANT HELPP
What type of transformation is this? Be specific
Answer:Translation
Step-by-step explanation:
Joy is making hand-painted ornaments for her family this year. Yesterday, she made 2 ornaments in 6 hours. This weekend, she plans to spend a total of 15 hours making ornaments.
If Joy works at the same rate, how many ornaments will she make this weekend?
Answer:
5 ornaments
Step-by-step explanation:
2 ornaments is 6 hours = 2/6 ornaments/hour = 1/3 ornaments/hour
1/3 ornaments/hour × 15 hours = 5 ornaments
a building contains 24 rooms in total, 9 of the rooms are on the top floor 7 of the roooms have red walls. 2 of the rooms on the top floor also have red walls work out the possibility that a room is picked at random that is neither on the top floor and doesnt have red walls give your answer as a fraction in its simplist form
Answer:
Step-by-step explanation:
18/24=3/4
a game where two players each throw two dice each. if any one die matches the other, you win a dollar. if there is no match, you lose a dollar. would you play this game or not and why?
Final answer:
I would play the game because we could win with probability 17/27.
What significance does probability have ?Information about the possibility that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes.
According to the First Law of Probability, the outcomes of one chance event have no bearing on those of succeeding chances occurrences. Consequently, the chance of getting heads the second time you flip it remains at 1 in 2. The chances of getting heads on the sixth flip, even if you got five consecutive heads, stay at 12.
Everyday existence heavily relies on probability. Weather predictions, sports and gaming tactics, insurance purchases or sales, internet shopping, and online gaming.
Explanation:
If both of your dice, or at least one of them, match at least one of the other player's dice, you win. This provides us five scenarios where we win. Let's use the letters A, B, C, and D to represent the results of the dice, with your dice being A and B and the other player's being C and D. The five possibilities are:
1) [tex]A = B[/tex]
2) [tex]A = C[/tex]
3) [tex]A = D[/tex]
4) [tex]B = C[/tex]
5) [tex]B = D[/tex]
A B C D
1) [tex]6 * 1 * 6 * 6[/tex] A can be anything, B has 1 option, C and D can be anything.
2) [tex]6 * 5 * 1 * 6[/tex] A can be anything, C has 1 option, A != B so B has 5 options.
3) [tex]6 * 5 * 5 * 1[/tex] A can be anything, D has 1 option, A !=B and A != C so B and C have 5 options.
4) [tex]5 * 6 * 1 * 5[/tex] B can be anything, C has 1 option, A != B and A != D so B and D have 5 options.
5) [tex]5 * 6 * 4 * 1[/tex] B can be anything, D has 1 option, A != B so A has 5 options, C != A and C != B so it has 4 options.
Therefore, it becomes [tex](6^3 + 6^2*5 + 2*6*5^2 + 6*5*4) / 6^4[/tex]
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what properties can be used to solve 3 + 7 + 2 + 5 + 9
The Properties that are used to solve 3+7+2+5+9 are Closure Property of Addition and Multiplication , Commutative Property of Addition and Distributive Property Reverse .
In the question
the given expression is 3+7+2+5+9
= 3+7+2+5+9
= 3+9+5+9 ( Closure Property of Addition as 7+2=9 )
= 3+5+9+9 ( Commutative Property of Addition as 9+5=5+9 )
= 8+9+9 ( Closure Property of Addition as 3+5=8 )
= 8+(1+1)9 ( Distributive Property Reverse )
= 8+2*9 ( Closure Property of Addition as 1+1=2 )
= 8+18 ( Closure Property of Multiplication as 2*9=18 )
=26 ( Closure Property of Addition as 8+18=26 )
Therefore , the Properties that are used to solve 3+7+2+5+9 are Closure Property of Addition and Multiplication , Commutative Property of Addition and Distributive Property Reverse .
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find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x
The parametric equations for this line :
x=11+5s , y=4s , z=2+6s
The value of t that creates the point (11,0,2)
Substitute 11 for x:
11
10
t=1
check that t=1 works for the y and z values:
15−1=0
15+1=2
These check, t=1
Tangent vector:
dxdt=5√t
dydt=5t4−1
dzdt=5t4+1
The tangent vector for all points, ¯v(t), is:
¯v(t)={5√t}ˆi+{5t4−1}ˆj+{5t4+1}ˆk
The tangent vector at the indicated position is the object of our interest:
¯v(1)=5ˆi+4ˆj+6ˆk
The vector equation of the tangent line :
(x,y,z)=(11,0,2)+s(5ˆi+4ˆj+6ˆk)
What are the purposes of parametric equations?Parametric equations can be used to describe all types of curves that can be represented on a plane but are most often used in situations where curves on a Cartesian plane cannot be described by functions (e.g., when a curve crosses itself).
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Factor all the following expressions. Show your work.
2x2+6x
Answer:
2x(x + 3)
Step-by-step explanation:
2x² + 6x ← factor out 2x from each term
= 2x(x + 3)
whats the literal equation for x
6y+18x=-14
Answer:
y=-3x-7/3
Step-by-step explanation:
You just subtract 18x from both sides and then divide by 6 on both sides to get it, lmk if that was what your asking for :)
how would you express b⃗ b→b vec using unit vectors? express your answers in terms of the unit vectors x^x^x unit and y^y^y unit . use the button under the menu in the answer box to create unit vectors. b⃗ b→b vec
The given vector can be expressed as B = B (cos θ x ^ + sin θ y ^)
The strength of the field and its angle with respect to a particular coordinate axis must be known in order to express the magnetic field B using unit vectors. Trigonometry can be applied after this information is known.
Let's utilize trigonometry if the angle we have is with respect to the x-positive axis's side.
cos θ = Bₓ / B
sin θ = B / B
Bx = By cos θ
B_{y} = B sin θ
so the resulting vector is
B = Bₓ i ^ + B_{y} j ^
unit vectors
x ^ = i ^
y ^ = j ^
B = B (cos θ x ^ + sin θ y ^)
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