Consider the curve with parametrization given by: r(t) = (2cost, 2sint, 7t) Now reparametrize the same curve by arc length. If start at the point (2,0,0) and follow this curve for 6 units of length, where will you be? Find the curvature of this curve.
Answers
To reparametrize the curve by arc length, we need to find the arc length function s(t) first. The arc length function is given by the integral of the magnitude of the derivative of the position vector with respect to t:
s(t) = ∫√[(dx/dt)² + (dy/dt)² + (dz/dt)²] dt
In this case, the position vector is r(t) = (2cos(t), 2sin(t), 7t), so we can calculate the derivatives:
dx/dt = -2sin(t)
dy/dt = 2cos(t)
dz/dt = 7
Plugging these derivatives into the arc length integral, we have:
s(t) = ∫√[(-2sin(t))² + (2cos(t))² + 7²] dt
= ∫√[4sin²(t) + 4cos²(t) + 49] dt
= ∫√(53) dt
= √(53) t + C
We are given that we follow the curve for 6 units of length, so we can solve for t:
6 = (√(53) t + C - C) / √(53)
t = 6 / √(53)
Substituting this value of t back into the original parametrization, we find the point on the curve:
r(t) = (2cos(6 / √(53)), 2sin(6 / √(53)), 7(6 / √(53)))
To find the curvature of the curve, we can use the formula:
κ(t) = |(dT/ds)|
Where dT/ds is the derivative of the unit tangent vector with respect to arc length. Taking the derivative of r(t) with respect to t, we have:
dr/dt = (-2sin(t), 2cos(t), 7)
Then, dividing dr/dt by its magnitude, we obtain the unit tangent vector:
T = dr/dt / |dr/dt| = (-2sin(t), 2cos(t), 7) / √[(-2sin(t))² + (2cos(t))² + 7²]
Finally, taking the derivative of T with respect to s, we get:
dT/ds = (d/ds)(-2sin(t)/√(53), 2cos(t)/√(53), 7/√(53))
= (-2cos(t)/√(53), -2sin(t)/√(53), 0)
Taking the magnitude of dT/ds, we find the curvature:
κ(t) = |(-2cos(t)/√(53), -2sin(t)/√(53), 0)|
= 2/√(53)
Therefore, the curvature of the curve is 2/√(53).
Learn more about position vector here; brainly.com/question/32521192
#SPJ11
Related Questions
4
Which symbol makes this statement true?
18 - 3 x 6 4 = 4
A X
B
C
+ 1
D +
Answers
Answer:
18-3×6+4=0
18-18+4=0
0+4=4
it is completely right(+) is the correct symbol
What is the value of x in the equation below?
10
T =
3
A 2
B.
C 5
10
Answers
2x = 10/3 * 3 multiply both sides by 3
x = 10/2 divide both sides by 2
x = 5 is your answer :)
given 4^(x)=8, find value of 9^(x)
Answers
Answer:
The value of 9^(x) is 3.
Step-by-step explanation:
To find the value of 9^(x), we can use the equation:
(a^x) = (b^y)
Where a and b are different bases, and x and y are different exponents.
We can rewrite this equation as:
x = y * log(a) / log(b)
Plugging in the values given in the question, we get:
x = log(8) / log(4)
Solving for x, we get:
x = 3
Therefore, the value of 9^(x) is 3.
PLEASE HELP ME !
NO LINKS PLEASE:D
Which is the equation of a line with a slope of 1/2 that passes through the point (4, 7)?
Answers
Answer:
C
Step-by-step explanation:
use y=mx+c
follow the flow
Answer:
the equation should be y=1/2x+5
Step-by-step explanation:
Find the volume of the prism. Round to the nearest tenth if necessary.
Options: 308 cm^3
186cm^3
44cm^3
149cm^3
Answers
Answer:
308cm^3
Step-by-step explanation:
maths
Answer: A. 308 cm²
Step-by-step explanation: To find this, we can use the basic principle of base times height times width to find the volume, and this case, we're given all three. To get to 308, I multiplied the given dimensions (base, width and height) by each other, so: 4 times 11 times 7.
3. A triangle has two angles that measure 85° and 23°. Which has to be the measure of the third angle?
A.95°
B.157°
C.108°
D.72°
Answers
Answer:
72
Step-by-step explanation:
Answer: D. 72°
Step-by-step explanation:
Because a triangle equals 180 we take the given info in order to find x
\(85+23+x=180\\108+x=180\)
\(108+x=180\\-108=-108\\x=72\)
Can someone help me find the volume?
Answers
3.19
Explanation:
To find the volume of the tip of the volume, we would need to use the formula for finding the volume of a cone (because that’s what that shape is)
Formula for finding the volume of a cone:
V= πr^2*h/3
Here is what it will look like after we input the values the question gives us:
V= π*0.6^2*0.4/3
The answer that would result from this equation is ~3.18959.
Therefore, after rounding the answer to two decimal places, the volume would be 3.19.
I hope this helps!
Let G = {1,7, 43, 49, 51, 57, 93, 99, 101, 107, 143, 149, 151, 157, 193, 199) under multiplication modulo 200. Express G as a direct sum of abelian groups. Also find the elementary divisors and the invariant factors of G. Finally, express G as an internal) direct product of cyclic groups.
Answers
G can be expressed as a direct sum of abelian groups, and its elementary divisors and invariant factors are 1, 2, 5, and 7.
To express the group G = {1, 7, 43, 49, 51, 57, 93, 99, 101, 107, 143, 149, 151, 157, 193, 199} as a direct sum of abelian groups, we first need to determine its structure.
Determine the order of each element in G.To find the order of an element x in G, we need to find the smallest positive integer n such that x^n ≡ 1 (mod 200).
For example, let's find the orders of some elements:
The order of 1 is 1 since\(1^1\)≡ 1 (mod 200).The order of 7 is 20 since \(7^2^0\) ≡ 1 (mod 200).The order of 43 is 10 since \(43^10\) ≡ 1 (mod 200).The order of 49 is 2 since\(49^2\)≡ 1 (mod 200).Using this approach, we can determine the orders of all the elements in G.
Determine the elementary divisors.The elementary divisors of G are the prime powers that divide the orders of the elements in G. We can list the prime powers corresponding to the orders we found in step 1.
For example, the orders we found earlier were:
\(1 (1^1\) ≡ 1 (mod 200))
\(7 (7^20\)≡ 1 (mod 200))
\(10 (43^1^0\) ≡ 1 (mod 200))
\(2 (49^2\) ≡ 1 (mod 200))
The elementary divisors are: 1, 2, 5, 7
Determine the invariant factors.The invariant factors of G are the elementary divisors in non-decreasing order, with any duplicate factors removed.
The invariant factors are: 1, 2, 5, 7
Express G as an internal direct product of cyclic groups.To express G as an internal direct product of cyclic groups, we need to find cyclic subgroups of G whose orders correspond to the invariant factors.
Using the invariant factors we found earlier, we can form the following cyclic subgroups:
Cyclic subgroup of order 1: ⟨1⟩ = {1}
Cyclic subgroup of order 2: ⟨49⟩ = {1, 49}
Cyclic subgroup of order 5: ⟨43⟩ = {1, 43, 149, 93, 57}
Cyclic subgroup of order 7: ⟨7⟩ = {1, 7, 49, 143, 99, 57, 199}
Now we can express G as the internal direct product of these cyclic subgroups:
G ≅ ⟨1⟩ ⊕ ⟨49⟩ ⊕ ⟨43⟩ ⊕ ⟨7⟩
Therefore, G can be expressed as a direct sum of abelian groups, and its elementary divisors and invariant factors are 1, 2, 5, and 7.
Learn more about invariant factors
brainly.com/question/32828582
#SPJ11
PLEASE HELP ME!!! SOLVE FOR X!!! THANKS!!!!! (look at pic)
Answers
Answer:
x = 698.771
step-by-step explanation:
\(\sf \rightarrow \log _{2x}\left(5^{\dfrac{3}{2}}\right)=\dfrac{1}{3}\)
apply ln rules
\(\sf \rightarrow \dfrac{\ln \left(5^{\dfrac{3}{2}}\right)}{\ln \left(2x\right)}=\dfrac{1}{3}\)
cross multiply
\(\sf \rightarrow \ln \left(5^{\dfrac{3}{2}}\right)\cdot \:3=\ln \left(2x\right)\cdot \:1\)
simplify using calculator
\(\sf \rightarrow 7.24247 = ln(2x)\)
shift sides
\(\sf \rightarrow e^{7.24247 }= 2x\)
divide both sides by 2
\(\sf \rightarrow 698.771= x\)
Answer:
\(x=698.771\)
Step-by-step explanation:
\(log_{2x} (5\frac{3}{2})=\frac{1}{3}\)
\((5\frac{3}{2})*3=In(2x)*1\)
\(7.24247=In(2x)\)
\(e^{7.24247}=2x\)
÷ \(2\) ÷ \(2\)
\(698.771=x\)
Find the magnitude of the net electric field at the origin (created by charges q1 and q2).
Answers
The direction of the net magnetic field is \($167.36^{\circ}$\)
How to find the magnitude?\(q_1=-4 \mathrm{nC} \text { at }(0.6,0.8)\)
\($q_2=6 \mathrm{nC}$\) at (0.6,0)
\($r_1=$\)Distance of \($q_1$\) from origin\($=\sqrt{0.6^2+0.8^2}$\)
\($r_2=$\) Distance of \($q_2$\) from origin \($=0.6$\)
\($\mathrm{k}=$\) Coulomb constant\($=9\)times \(10^9 \mathrm{Nm}^2 / \mathrm{C}^2$\)
Electric field is given by
\(&E_1=\frac{k q_1}{r_1^2} \\\)
\(&\Rightarrow E_1=\frac{9 \times 10^9 \times 4 \times 10^{-9}}{\sqrt{0.6^2+0.8^2}} \\\)
\(&\Rightarrow E_1=36 \mathrm{~N} / \mathrm{C}\)
\(&\theta=\tan ^{-1} \frac{0.8}{0.6} \\\)
\(&\Rightarrow \theta=53.13^{\circ} \\\)
\(&E_1=36 \cos 53.13^{\circ} \hat{i}+36 \sin 53.13^{\circ} \hat{j} \\\)
\(&\Rightarrow E_1=21.6 \hat{i}+28.8 \hat{j}\)
\(&E_2=\frac{k q_2}{r_2^2} \\\)
\(&\Rightarrow E_2=\frac{9 \times 10^9 \times 6 \times 10^{-9}}{0.6^2} \\\)
\(&\Rightarrow E_2=150 \mathrm{~N} / \mathrm{C}\)
The charge \($q_2$\) is on the \($\mathrm{x}$\) axis itself and it is pointing towards the origin (left side) so the sign will be negative
\(E_2=-150 \hat{i}\)
Resultant electric field
\(&E=E_1+E_2 \\\)
\(&\Rightarrow E=21.6 \hat{i}+28.8 \hat{j}+(-150 \hat{i}) \\\)
\(&\Rightarrow E=-128.4 \hat{i}+28.8 \hat{j}\)
Magnitude of electric field is given by
\(&|E|=\sqrt{(-128.4)^2+28.8^2} \\\)
\(&\Rightarrow|E|=121.6 \mathrm{~N} / \mathrm{C}\)
Magnitude of the net electric field is \($121.6 \mathrm{~N} / \mathrm{C}$\)
Direction is given by
\(\theta=\tan ^{-1} \frac{128.4}{28.8}=77.36^{\circ}\)
From the -x axis
\((90+77.36)^{\circ}=167.36^{\circ}\)
The direction of the net magnetic field is \($167.36^{\circ}$\)
To learn more about magnetic field, refer to:
https://brainly.com/question/26257705
#SPJ4
The number m equals-
The number b equals-
Answers
Therefore , the solution of the given problem of slope comes out to be
m =-1/5 and b =5 units.
Slope explanation.The slope of a line determines how steep it is. A characteristic of a color filter equation is a gradient overflow. The horizontal distance disparities (run) between two points are divided by the average vertical differences (rise) between the exact two points to determine the slope. The equation y = mx + b, which is known as the hill type equation, is used to express the fixed path issue. If grading is m, a = b, and the line's y-intercept is located there (0, b).
Here,
Given :
From the given graph we get
Points(0,5) and (1,0)
So,
Slope m = 1-0 /0-5
=> m= -1/5
and
For b
=> b = 5 units.
Therefore , the solution of the given problem of slope comes out to be
m =-1/5 and b =5 units.
To know more about slope visit:
https://brainly.com/question/3605446
#SPJ1
whats 3/4 x 1/8 in simplest form
Answers
Answer:
You want to have a common denominator. Multiply 3/4 by two and get 6/8. Multiply 6 times 1 and get 6. That's 6/8 since the denominators are the same. Simplify by dividing 6/8 by two and you get 3/4.
Step-by-step explanation:
The product is 3/4 x 1/8 = 3/32.
You just combine the numerators and denominators together to multiply a fraction.
You multiply the numerators together to get the new numerator, and you multiply the denominators together to get the new denominator, to determine the product of two fractions.
Here are the facts:
3/4 x 1/8 = (3 x 1) / (4 x 8)
We get 3 when we multiply the numerators, and 32 when we multiply the denominators.
So, 3/4 times 1/8 equals 3/32.
Because there are just two components that 3 and 32 have in common, 3/32 is already in its simplest form.
Hence the product is 3/4 x 1/8 = 3/32.
Learn more about product click;
https://brainly.com/question/31815585
#SPJ6
Each cat at the animal shelter gets
5/6 pound of food. Allie has 9 1/2
pounds of cat food. How many cats
can Allie feed?
A: 7
B:9
C: 11
D:13
Answers
Answer: C : 11
Step-by-step explanation:
So divide 9 1/2 by 5/6
So the answer is 11,4 and it round off to 11
So the answer is 11 option C
expocied to be dos. Room aftendant are aHocated 30 minutes to clean each foocr. Room niterdants work A hourt per day at a rate of 515 hour, ADPt is expected to be 51 eo What would the labotyr cost percentage be for next Friday assurning everythinc ktnys the sarne?
a. 0.05%
b. 5.00%
c. 20.00%
d. 0.20%
Answers
The labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option a. 0.05%.
To calculate the labor cost percentage for next Friday at the Fawlty Towers, we need to consider the number of rooms, the time required to clean each room, the number of working hours, the labor rate, and the occupancy rate. Here are the steps to determine the labor cost percentage:
Calculate the number of rooms to be cleaned. If the hotel has 1000 rooms and the occupancy rate for next Friday is 80%, then the number of occupied rooms would be 1000 * 0.8 = 800 rooms.
Calculate the total time required to clean the rooms. Since each room attendant is allocated 30 minutes per room, the total time required would be 800 rooms * 30 minutes = 24,000 minutes.
Convert the total cleaning time to hours. Since there are 60 minutes in an hour, the total cleaning time would be 24,000 minutes / 60 = 400 hours.
Calculate the total labor cost. Each room attendant works 8 hours per day, so for 400 hours, the hotel would require 400 hours / 8 hours = 50 room attendants. Considering their hourly rate of $15, the total labor cost would be 50 room attendants * $15/hour = $750.
Calculate the total revenue. The Average Daily Rate (ADR) is expected to be $150, and with an occupancy rate of 80%, the total revenue would be 800 rooms * $150/room = $120,000.
Calculate the labor cost percentage. Divide the total labor cost ($750) by the total revenue ($120,000) and multiply by 100 to get the percentage: ($750 / $120,000) * 100 = 0.625%.
Therefore, the labor cost percentage for next Friday at Fawlty Towers would be approximately 0.63%, which is closest to the option 0.05%.
Learn more About labor cost from the given link
https://brainly.com/question/26527325
#SPJ11
The Fawlty Towers is a Nuxury 1000 room hotel catering to business executives. The occupancy for nad Friday is expected to be 80% Room attendants are allocated 30 minutes to clean each room Room attendants work 8 hours per day at a rate of $15/hour. ADR is expected to be $150 What would the labour cost percentage be for next Friday assuming everything stays the same?
a. 0.05%
b. 5.00%
c. 20.00%
d. 0.20%
A particular right square-based pyramid has a volume of 63,960 cubic meters and a height of 30 meters. What is the number of meters in the length of the lateral height ($\overline{AB}$) of the pyramid
Answers
The length of the lateral height \(($\overline{AB}$)\) of the right square-based pyramid is approximately 74.47 meters.
The length of the lateral height \(($\overline{AB}$)\) of the pyramid, we can use the formula for the volume of a pyramid:
$V = \frac{1}{3}Bh$
where $V$ is the volume, $B$ is the base area, and $h$ is the height.
We are given the volume of the pyramid as 63,960 cubic meters and the height as 30 meters. Since it is a right square-based pyramid, the base is a square, and the base area can be determined using the formula $B = s^2$, where $s$ is the length of one side of the base.
We can rearrange the volume formula to solve for the base area:
\($B = \frac{3V}{h} = \frac{3(63,960)}{30} = 7,992$\)
Since the base is a square, each side has the same length. Therefore, \($s = \sqrt{B} = \sqrt{7,992} \approx 89.45$\)meters.
The length of the lateral height ($\overline{AB}$), we can use the Pythagorean theorem. The lateral height, the height of the pyramid, and half the length of the base form a right triangle. The length of the lateral height can be :
\($\overline{AB} = \sqrt{h^2 + (\frac{s}{2})^2} = \sqrt{30^2 + (\frac{89.45}{2})^2} \approx 74.47$ meters.\)
To learn more about pyramid.
Click here:brainly.com/question/31878050?
#SPJ11
Along a road there is an emergency telephone every 10 km, a water well every 15 km and a gas station every 20 km. How often do a telephone, a well and a gas station coincide?
Answers
Answer:
60 km
Step-by-step explanation:
Given that :
Location of emergency telephone = every 10km
Location of water well = Every 15 km
Location of gas station = every 20 km
To obtain how often an emergency telephone, water well and gas station coincide, we obtain the lowest common multiple of 10, 15 and 20
Multiples of ;
10 : 10, 20, 30, 40, 50, 60, 70
15 : 15, 30, 45, 60, 75, 90, 105
20 : 20, 40, 60, 80, 100
Hence, the lowest common multiple of 10, 15 and 20 is 60, thus, an emergency telephone line, gas station and water well will coincide every 60km
Write two different expressions that could be used
4.
a. Military veterans receive a 25% discount on movie tickets that normally cost
$16. Explain why 16(0. 75) represents the cost of a ticket using the discount.
b. A new car costs $15,000 and the sales tax is 8%. Explain why 15,000(1. 08)
represents the cost of the car including tax.
388 Student Workbook
Algebra 1 il
Answers
Answer:
Step-by-step explanation:
A die is rolled and a coin is flipped simultaneously. the number rolled on the die and whether the coin lands heads or tails is recorded. how many outcomes are in the sample space? 8 6 10 12
Answers
Answer: 12
Step-by-step explanation:
Solve the equation.
$2v+7=3$
$v=$
Answers
Subtract 7 from both sides to get 2v = -4
Then divide 2 on both sides and get v = -4/2
Then simplify to get v = $-2
identify an equation in point-slope for the line parellel to y= 1/2 x-7 that passes through (-3 , -2)
Answers
Answer:
y+2=1/2(x+3)
Why?
Point slope form is written as (y-y1) = m(x-x1) with y1 being the value of y at a certain point, x1 being the value of x at a certain point, and m being slope. y1 and x1 are given to us by the point (-3, -2) letting us know that y1=-2 and x1=-3. The only thing left to find is slope. Parallel lines have the same slope. If the line we are trying to find is parallel to the one given in the question, we just need to find the slope of the equation given. That equation is given in slope-intercept form which is y = mx + b. m is still slope so we can see that the slope is 1/2. Now we can plug m, x1 and y1 into the point slope form equation to get y + 2 = 1/2(x + 3)
Please help, I don't have any clue how to do this!
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1. (4 points)
Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4. (4 points)
Part C: How can you solve the equation 4x = 2x−1 graphically? (2 points)
Answers
A student had taken six tests and received scores 88, 73, 81, 83, 79, 94. The seventh test was coming up and the student wanted to know what score was needed on the seventh test to have a mean score of 83?
Answers
Answer: 83
Step-by-step explanation:
Since the student want to have a mean of 83 in the 7 tests, the total score of the tests will be:
= 83 × 7
= 581
Then, we add the value of the 6 tests and this will be:
= 88 + 73 + 81 + 83 + 79 + 94
= 498
We will now subtract 498 from 581 and this will be:
= 581 - 498
= 83
He needs to score 83 in the 7th test
an aaba form can be repeated to create a larger form; when b and a are repeated after the first aaba, it is called a
Answers
An AABA form can be repeated to create a larger form; when b and a are repeated after the first AABA, it is called a "partial reprise". The BA or ABA sections of the AABA structure are repeated in the majority of partial reprises.
What is reprise?The term "reprise" is derived from the French word "repris," which means "act of taking back." The word is also derived from the Latin word "reprendre," which means "taken up again." The term is typically used in music, but it can refer to any continuation of an action.
Various uses of reprise in musics are given below-
Music that is classical: Reprises are most prevalent in the sonata form's recapitulation section.Music for films: Characters and settings are given specific motifs by film composers. These motifs reappear throughout the film.Theatrical musicals: Repetition is used in musical theater as scenarios develop and characters reappear.Jazz: Repetition is used by jazz musicians in a head-solo-head music format. The players begin with a pre-composed segment labeled the head, then break off towards solos influenced by that head, & finish with a reprise of a initial theme.Rock and pop: Pop and rock are created on repetition, and whenever a tune, vocal hook, or entire chorus is repeated, we can call it a reprise.To know more about pop music, here
https://brainly.com/question/2195023
#SPJ4
The dog wash washes 30 dogs for charity. they had different prices for the dogs. big dogs cost $36.00, small dogs cost $12.50, and average size dogs cost $14.00. they made $559.00. there were 3 more small dogs than big dogs
Answers
There were 7 big dogs, 10 small dogs, and 13 average size dogs in total. The prices were $36.00 for big dogs, $12.50 for small dogs, and $14.00 for average size dogs.
Let's assume the number of big dogs is "x". The number of small dogs would then be "x + 3" since there were 3 more small dogs than big dogs.
The number of average size dogs would be 30 - (x + x + 3) = 30 - (2x + 3) = 27 - 2x.
The total revenue from the big dogs would be: x * $36.00.
The total revenue from the small dogs would be: (x + 3) * $12.50.
The total revenue from the average size dogs would be: (27 - 2x) * $14.00.
According to the given information, the total revenue from all the dogs is $559.00, so we can set up the following equation:
x * $36.00 + (x + 3) * $12.50 + (27 - 2x) * $14.00 = $559.00.
Now, let's solve this equation to find the value of "x" and calculate the number of dogs in each category.
36x + 12.5(x + 3) + 14(27 - 2x) = 559
36x + 12.5x + 37.5 + 378 - 28x = 559
20.5x + 415.5 = 559
20.5x = 559 - 415.5
20.5x = 143.5
x = 143.5 / 20.5
x ≈ 7
Therefore, there were approximately 7 big dogs.
The number of small dogs would be x + 3, which is 7 + 3 = 10.
The number of average size dogs would be 30 - (2x + 3), which is 30 - (2 * 7 + 3) = 30 - 17 = 13.
So, there were approximately 7 big dogs, 10 small dogs, and 13 average size dogs.
Learn more about average here: https://brainly.com/question/24057012
#SPJ11
The complete question is:
The dog wash washes 30 dogs for charity. they had different prices for the dogs. big dogs cost $36.00, small dogs cost $12.50, and average size dogs cost $14.00. they made $559.00. there were 3 more small dogs than big dog.How many big dogs, small dogs, and average size dogs did The Dog Wash wash for charity?
Fred the clown can create 20 animal balloons every 15 minutes, how many animal balloons can feed the clown make with 45 minutes?
Answers
Answer:
60 animal balloons
Step-by-step explanation:
15 times 3 equals 45 so 20 times 3 equals 60 balloons
Hope this is helpful
Answer:
60
Step-by-step explanation:
If he can make 20 balloon animals in 15 minutes, then to get the answer you would multiply 20 x 3 = 60. That would be how many animal balloons that Fred can make in 45 minutes. And 45 minutes is three sets of 15 minutes.
Hope that helps.
(2x+5+8)/x-2 there should be a remainder left, pls help
Answers
Answer: 13/2
Decimal answer 6.5
im sorry if it was wrong it was what I got
Step-by-step explanation:
2 and 1/6 divided by 4 and 1/3, help pls
Answers
Answer:
The answer is 1 9/19
Step-by-step explanation:
100 POINTS!!! PLEASE ANSWER WILL GIVE BRAINLIEST TO WHOEVER GETS QUESTION RIGHT.
A rectangle has a perimeter of 58 inches. The length is 1 inch more than 3 times the width. Write a linear system to model the scenario using w to represent the width of rectangle and l to represent the length of the rectangle. Find the length and width of the rectangle.
Answers
Answer:
659
Step-by-step explanation:
Answer:
Step-by-step explanation:
BBQ Corp. had a 3:1 stock split ratio. Pre-split the company had 1.35 Million outstanding shares at a price of $72.45 per share.
How many outstanding shares does BBQ Corp. have post-split?
Answers
The number of outstanding shares that BBQ Corp. will have post-split, given the number of outstanding shares is, 4, 050, 000 shares
What is a stock split?A stock split refers to when the number of outstanding shares that a company has, are divided into a certain number of shares which is based on the split ratio.
For a 3:1 stock split ratio, the number of outstanding shares will be split into three shares each.
BBQ Corp. has 1. 35 million shares so post - split, they will have:
= Outstanding shares x 3
= 1, 350, 000 x 3
= 4, 050, 000 shares
Find out more on stock splits at https://brainly.com/question/14247504
#SPJ1
Lamont surveyed his class on how they spent their free time during the week
Answers
Answer:
30:15 simplifies to 2:1
Step-by-step explanation:
30 hours spent using electronic devices and 15 spent playing sports. 30 divided by 15 = 2 and 15 divided by 15 = 1.
Answer:
2 is the number of hours using electronic devices :
1 hours playing sports
Also known as 2:1
Step-by-step explanation:
The first step is to simplify the ratio of hours using electronic devices to hours playing sports, which is 30 : 15
30 : 15
If I divide each number by 5 to simplify you get:
6 : 3
Then we divide each number by 2 to simplify:
2 : 1
That is how you get the answer for the ratio of 2:1.
I hope I helped and have a great day! ^-^