Answer and Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
First, we should list all the information that is given to us.
Started at: 11:00 AM
Time spent shopping: 1 hour and 15 minutes
The spent in food court: 1 hour and 30 minutes
Time spent in video arcade: 2 hours
Now, all we have to do is add the times.
11:00 AM + 1 hour and 15 minutes = 12:15 PM
12:15 PM + 1 hour and 30 minutes = 1:45 PM
1:45 PM + 2 hours = 3:45 PM
So, Kathleen and Antonio left the mall at 3:45 pm.
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#teamtrees #WAP (Water And Plant)
Please help!!!!!!!!!
Answer:
$42.75
Step-by-step explanation:
18.80+23.95=$42.75
2a. A bicycle is $85. The tax is 6%. How much is the tax?
7
You have 15 marbles in a bag; 5 are red. If you pull out five marbles in a row and don't put
them back in, what are your chances of pulling all 5 red marbles? Decimal answer please.
Step-by-step explanation:
0.33 so says my mother bc she divide
Answer:
The probability of drawing a different marble is 0.25. The probability of drawing a red marble = 0.5
I do not know if this is correct please forgive me if I am wrong.
If I am right hope this helps!
Ask any question. i gottu
Answer:
why?
Step-by-step explanation:
Answer:
..is cereal a soup?
Step-by-step explanation:
is it tho?
Let y 00 + by0 + 2y = 0 be the equation of a damped vibrating spring with mass m = 1, damping coefficient b > 0, and spring constant k = 2. (a) Convert this second order equation into a system of two first order equations. (b) Express the eigenvalues for this system in terms of b. (c) Describe the stability of the equilibrium solution ~0 for b > 2 √ 2. Justify your claim with information about the eigenvalues of the matrix for the system. (d) Connect the behavior of solutions near an equilibrium of this type with the spring mass system with damping coefficient b > 2 √ 2 and explain why your answer for part (c) is (or is not) what one should expect.
Answer:
Step-by-step explanation:
Given that:
The equation of the damped vibrating spring is y" + by' +2y = 0
(a) To convert this 2nd order equation to a system of two first-order equations;
let y₁ = y
y'₁ = y' = y₂
So;
y'₂ = y"₁ = -2y₁ -by₂
Thus; the system of the two first-order equation is:
y₁' = y₂
y₂' = -2y₁ - by₂
(b)
The eigenvalue of the system in terms of b is:
[tex]\left|\begin{array}{cc}- \lambda &1&-2\ & -b- \lambda \end{array}\right|=0[/tex]
[tex]-\lambda(-b - \lambda) + 2 = 0 \ \\ \\\lambda^2 +\lambda b + 2 = 0[/tex]
[tex]\lambda = \dfrac{-b \pm \sqrt{b^2 - 8}}{2}[/tex]
[tex]\lambda_1 = \dfrac{-b + \sqrt{b^2 -8}}{2} ; \ \lambda _2 = \dfrac{-b - \sqrt{b^2 -8}}{2}[/tex]
(c)
Suppose [tex]b > 2\sqrt{2}[/tex], then λ₂ < 0 and λ₁ < 0. Thus, the node is stable at equilibrium.
(d)
From λ² + λb + 2 = 0
If b = 3; we get
[tex]\lambda^2 + 3\lambda + 2 = 0 \\ \\ (\lambda + 1) ( \lambda + 2 ) = 0\\ \\ \lambda = -1 \ or \ \lambda = -2 \\ \\[/tex]
Now, the eigenvector relating to λ = -1 be:
[tex]v = \left[\begin{array}{ccc}+1&1\\-2&-2\\\end{array}\right] \left[\begin{array}{c}v_1\\v_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]
[tex]\sim v = \left[\begin{array}{ccc}1&1\\0&0\\\end{array}\right] \left[\begin{array}{c}v_1\\v_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]
Let v₂ = 1, v₁ = -1
[tex]v = \left[\begin{array}{c}-1\\1\\\end{array}\right][/tex]
Let Eigenvector relating to λ = -2 be:
[tex]m = \left[\begin{array}{ccc}2&1\\-2&-1\\\end{array}\right] \left[\begin{array}{c}m_1\\m_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]
[tex]\sim v = \left[\begin{array}{ccc}2&1\\0&0\\\end{array}\right] \left[\begin{array}{c}m_1\\m_2\\\end{array}\right] = \left[\begin{array}{c}0\\0\\\end{array}\right][/tex]
Let m₂ = 1, m₁ = -1/2
[tex]m = \left[\begin{array}{c}-1/2 \\1\\\end{array}\right][/tex]
∴
[tex]\left[\begin{array}{c}y_1\\y_2\\\end{array}\right]= C_1 e^{-t} \left[\begin{array}{c}-1\\1\\\end{array}\right] + C_2e^{-2t} \left[\begin{array}{c}-1/2\\1\\\end{array}\right][/tex]
So as t → ∞
[tex]\mathbf{ \left[\begin{array}{c}y_1\\y_2\\\end{array}\right]= \left[\begin{array}{c}0\\0\\\end{array}\right] \ \ so \ stable \ at \ node \ \infty }[/tex]
can u pls help me with this question
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', the equation becomes
y ∝ x
y = kx
where 'k' is called the constant of proportionality.
From the table, it is clear that 'y' varies directly with 'x'
Let us check the value of k for all the points
k = y/x
For the point (130, 9.10)
k = 9.10 / 130 = 0.07For the point (145, 10.15)
k = y/x = 10.15 / 145 = 0.07For the point (150, 10.50)
k = y/x = 10.50 / 150 = 0.07For the point (185, 12.95)
k = y/x = 12.95 / 185 = 0.07Thus, the value of proportionality constant is same.
i.e. k = 0.07
Determining the cost of 21 feet of the wire
And need 21 feet of the wire.21 feet = 252 inch
Using the equation
y = kx
where y represents the cost and x represents the length in inchesThus, the cost of 252-inch wire will be:
y = kx
substituting k = 0.07, and x = 252
y = 0.07 × 252
y = 17.64 Dollars
Thus, the cost of 21 feet wire will be: 17.64 Dollars
Determining the cost of 15 yards of the wire
Emily needs 15 yards of the wire.15 yards = 540 inches
Using the equation
y = kx
where y represents the cost and x represents the length in inchesThus, the cost of 15 yards of wire will be:
y = kx
substituting k = 0.07, and x = 540
y = 0.07 × 540
y = 37.8 Dollars
Thus, the cost of 15 yards of wire will be: 37.8 Dollars
1.) Name the corresponding
sides and angles.
Find the area round to the nearest 10th if necessary
Answer:
5th
Step-by-step explanation: because its the half and the closest area of the figure
Two adjacent sides of a parallelogram are 7cm and 10cm respectively.Find its perimeter
Answer:
Step-by-step explanation:
Perimeter=2(10+7)
=2(17)
=34cm
Your friend finds the measure of the exterior angle shown. Is your friend correct?
Answer:
will i think that's true
Step-by-step explanation:
I hope this helps you
Answer:
I think that it is yes
Step-by-step explanation:
Hope this helped have an amazing day!
Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to of its height to prevent spills.
What is the approximate volume of water in Anju's cup?
Answer:
V = 167.55
Step-by-step explanation:
V = pir^2 h/3
V = pi(4)^2 (10/3)
The approximate volume of water in Anuj's cup is 42 cubic cm.
What is volume?Volume is a measure of capacity that an object holds.
Formula for finding the volume of cone
volume of cone = [tex]\frac{1}{3} \pi r^{2} h[/tex]
where,
r is the radius of cone
h is the height of cone
π = 3.14
According to the given question
paper cups are of the shape of cone.
and,
diameter = 8cm
⇒ radius = [tex]\frac{8}{2}[/tex] = 4cm
the approximate volume of water in cup = [tex]\frac{1}{3} \pi r^{2} h[/tex]
=[tex]\frac{1}{3}[/tex]×[tex]2^{2}[/tex]×π×10
=[tex]\frac{1}{3}[/tex]×4×3.14×10
= 41.86 = 42 cubic cm.
Hence, the approximate volume of water in Anuj's cup is 42 cubic cm.
Learn more about the volume of cone here:
https://brainly.com/question/1984638
#SPJ2
Free fall reaches 216km per hour. What is rate in meters per second.? How many meters fall during 20 seconds free fall?
Given,
Rate of free fall = 216 km/h
Solution,
km/h to m/s is converted as follows :
[tex]216\ \dfrac{km}{h}=216\times \dfrac{1000\ m}{3600\ s}\\\\=60\ m/s[/tex]
So, the rate of fall is 60 m/s.
If t = 20 s
Assume, initial velocity = 0
It will move under the action of gravity.
Using equation of motion,
[tex]h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m[/tex]
Hence, this is all for the solution.
3x-(8x+4)=
pppppppppppppppppppppppllllllllllllllllllssssssssss
Answer:
-5x+4???
Step-by-step explanation:
I DON'T KNOW I'M SORRY
Answer:
-5x - 4
Step-by-step explanation:
3x - (8x + 4)
3x -8x -4
-5x - 4
(5 + 3i) + (2 - 81)
(Plz help)
Answer:
-74+3i
Step-by-step explanation:
Answer:
Step-by-step explanation:
(5 + 3i) + (2 - 81)
5 + 3i + 2 - 81
74 + 3i
Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all of the headphones and music players in identical packages.
What is the greatest number of packages Tim can make?
Answer:
he can make 4 packages hope this helps
solve for x and y :
9 + 12i = 3x + 4yi
Answer:
27
Step-by-step explanation:
Georgette has purchased award plaques for her company’s conference. Each plaque
costs $7.50, and Georgette paid a one-time shipping fee of $40 for the order. Calculate the total cost for the order based upon the number of plaques purchased.
i need the slope
Answer:
y=1/7.50x+40
Step-by-step explanation:
I doubled checked myself on desmos and it worked. You start at 40$ because you pay that no matter what. For each one they buy the price goes up by 7.50$.
What is the solution to the rational equation x over x squared minus 9 plus 1 over x minus 3 equals 1 over 4x minus 12? (1 point)
Step-by-step explanation:
x²/(x²-9) + 1/(x-3) = 1/(4x-12)
4x² + 4(x+3) = 1
4x² + 4x + 11 = 0
Since the discriminant is negative, there are no real solutions.
Select the statement that indicates that the triangles in each pair are congruent.
50 points
Answer:
D. ∆XVW ≅ ∆XBC
Step-by-step explanation:
Angle X = Angle X (vertical angles are congruent)
Angle V = angle B (corresponding angles are congruent)
Angle W = angle C (corresponding angles are congruent)
The three angels in ∆XVW are congruent to the three corresponding angles in ∆XBC.
Therefore, the statement that indicates both triangles are congruent is:
∆XVW ≅ ∆XBC
A family went to a restaurant. The total cost of the meal was $48.30. The family had a coupon for 20% off the total. What was the final cost?
Answer:
$38.64
Step-by-step explanation:
to find the percent off of the original price, multiply 48.30 to 20. then, move the decimal over twice.
48.30
x 20
----------
966 ---------> $9.66 off
then subtract that from 48.30.
$38.64 is you answer.
give me brainliest
5/6=1/3+d
Thank you for the help and have a good day :)
Answer:
d = 1/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5/6 = 1/3 + d
Step 2: Solve for d
Subtract 1/3 on both sides: 5/6 - 1/3 = dRewrite fraction: 5/6 - 2/6 = dSubtract: 3/6 = dSimplify: 1/2 = dRewrite: d = 1/2At a football match, 10 men bought either a pie or a cup of
coffee. A pie costs 60p and a coffee costs 50p. The total
amount spent on pies and cups of coffee was £5.80. How many
of each must have been bought? (show all your working)
Answer:
8 pies and 2 coffees
Step-by-step explanation:
10 men bought pie or a cup of coffee.
x=pie
y=coffee
x+y=10
0.6x+0.5y=5.8
0.6x+0.6y=6
0.1y=0.2
y=2
x=8
Hope this helps plz hit the crown :D
A parabola has the focus at (4, 6) and the directrix y = –6. Which equation represents this parabola?
(x – 4)2 = 24y
(x – 4)2 = StartFraction 1 Over 24 EndFractiony
(x – 4)2 = –24y
(x – 4)2 = Negative StartFraction 1 Over 24 EndFractiony
Answer:
Step-by-step explanation:
If you graph both the focus and the directrix you will see that the directrix is below the focus...12 units below to be exact. The focus is on the vertical line x = 4, so the vertex also has an x coordinate (which is actually h since h and k represent the vertex) of 4. The vertex is exactly halfway between the focus and the directrix, so that means that the vertex is at (4, 0). h = 4, k = 0. The standard form for this parabola (we know it opens upwards since the parabola ALWAYS wraps itself around the focus and is directed away from the directrix) is:
[tex](x-h)^2=4p(y-k)[/tex]
p is the number of units between the focus and the vertex, or the vertex and the directrix (which is the same number of units since the vertex is smack dab in the middle of them!). That means that p = 6. Filling in 6 for p, 4 for h, and 0 for k we have:
[tex](x-4)^2=4(6)(y-0)[/tex] and simplify to
[tex](x-4)^2=24y[/tex] which is the first choice you're given.
The equation that shows the parabola when parabola has the focus at (4, 6) and the directrix y = –6 should be considered as the (x – 4)2 = 24y.
What is a parabola?In terms of mathematics, a parabola represent the plane curve in which there is the mirror-symmetrical and should be made of U-shaped.
Since there has the focus at (4, 6) and the directrix y = –6
So the first equation should be considered.
Learn more about parabola here: https://brainly.com/question/8063993
If P is the circumcenter of triangle ABC, find each measure.
Find AP.
B
11x – 14
D
E
А
F
С
6x + 1
Answer:
Step-by-step explanation:
Hhhh
Answer: 19
Step-by-step explanation:
Did it
Chris bought c tickets to a movie for $8 each. Michele bought m tickets to a movie for $8 each. Which expression can be used to find the total amount Chris and Michele spent for these tickets?
Answer:
8c+8m
Step-by-step explanation:
c tickets are $8 a piece and m tickets are also $8 a piece. as an expression, the equation is not completed and cannot be completed until we know the value of the missing variables. to find the total, you must add the total amount of tickets Chris bought for 8 dollars and add that to the total of tickets Michele bought for 8 dollars
A typical credit card company charges 18% annual interest,
compounded monthly, on the unpaid balance. If your current balance is
$520 and you do not make a payment for 6 years, how much will you
owe? Answer rounded to the whole number
Answer:
$1,519
Step-by-step explanation:
Given that :
Balance = principal = $520
Time (t) = 6 years
Annual. Interest rate (r) = 18% = 0.18
Using the compound interest formula:
A = P(1 + r/n)^nt
n = number of times interest is applied per period ; A = final amount
Since interest is compounded monthly, n = 12
A = 520(1 + 0.18/12)^(12 * 6)
A = 520(1 + 0.015)^72
A = 520(1.015)^72
A = 520(2.9211579)
A = 1519.0021
Hence, final amount = $1519
The answer to my question.
Answer:
145°
Step-by-step explanation:
As per the given information: quadrilateral ABCD is a parallelogram.
[tex] m\angle B + m\angle DCB =180\degree \\[/tex]
(adjacent angles of a parallelogram)
[tex] 110\degree + m\angle DCB =180\degree \\
m\angle DCB =180\degree - 110\degree \\
m\angle DCB =70\degree\\
m\angle DCG=\frac{1}{2} m\angle DCB \\(\because GC \: bisects \: \angle DCB) \\
m\angle DCF=\frac{1}{2}\times 70\degree... (\because C-G-F) \\
m\angle DCF=35\degree\\
m\angle BFC = m\angle DCF = 35\degree\\ (Alternate \: \angle s) \\\\
m\angle BFC + m\angle CFA = 180\degree\\ (straight \: line \: \angle s) \\\\
35\degree + m\angle CFA= 180\degree\\
m\angle CFA = 180\degree-35\degree \\\\
m\angle CFA= 145\degree \\\\
\huge\purple {\therefore m\angle GFA = 145\degree} \\(\because C-G-F) \\[/tex]
WILL GIVE BRAINLIEST
Answer: x = 28
Step-by-step explanation:
Trust me :)
Type the correct answer in each box. Use numerals instead of words.
Renee and David plan to file taxes as married filing jointly. They have a combined taxable income of $51,325. Use the table to determine the amount of tax due, and calculate their effective tax rate, rounding to the nearest tenth.
Answer:
the answer is 6766 and the percent is 13.2
Step-by-step explanation:
100 on the plato test
The length of a rectangle is twice its width. Find its area, if its perimeter is 7 1/3 cm.
Answer:
241/81 cm^2
Step-by-step explanation:
[tex]2\: lenghts = wide\\\\lenght=x\\\\2x=wide\\\\Perimeter = 2(wide+lenght)\\\\P=2(2x+x)\\\\P=2(3x)\\\\P=7\frac{1}{3}\\\\\frac{22}{3}=6x\\\\x=\frac{22}{3*6}\\\\x=\frac{11}{9}\\\\width = 2x=2(\frac{11}{9})=\frac{22}{9}[/tex]
[tex]Area = lenght\times width\\\\Area = \frac{11}{9}\times\frac{22}{9}\\\\A=\frac{11*22}{9*9}\\\\A=\frac{242}{81}cm^2[/tex]
Answer:
[tex]2\frac{80}{81}[/tex] cm²
Step-by-step explanation:
A = lw
P = 2(l + w)
~~~~~~~~~~~
l = 2w
2(2w + w) = [tex]7\frac{1}{3}[/tex]
2(3w) = [tex]\frac{22}{3}[/tex]
3w = [tex]\frac{11}{3}[/tex]
w = [tex]\frac{11}{9}[/tex]
l = [tex]\frac{22}{9}[/tex]
A = [tex]\frac{22}{9}[/tex] × [tex]\frac{11}{9}[/tex] = [tex]\frac{242}{81}[/tex] = [tex]2\frac{80}{81}[/tex] cm²