Answer:
If the perimeter of the rectangle is 60 feet, how long are the base and height of Herman's rectangle? Show how you know.
Step-by-step explanation:
B=4x|(4.10) x+x+4x+4*=60.
The dimension of the Herman rectangle will be 24 feet by 6 feet.
What is the perimeter of the rectangle?Let W be the rectangle's width and L its length.
The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be
Perimeter of the rectangle = 2(L + W) units
If the perimeter of the rectangle is 60 feet. And we know that the ratio of length to width of Herman rectangle will be 4/1.
L = 4W
Then the equation is given as,
60 = 2 (4W + W)
30 = 5W
W = 6 feet
Then the size of the length is given a,
L = 4W
L = 4 x 6
L = 24 feet
The dimension of the Herman rectangle will be 24 feet by 6 feet.
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graph the inequality 2y+1 > 0.8x
Answer:
Below!
Step-by-step explanation:
Graph the inequality by locating the line, then shade the appropriate area.
=> 2y + 1 > 0.8x=> 2y > 0.8x - 1 => y > 0.4x - 1/2Please check out image to understand better.
Look at the pic below
Answer:
(+10) x (-13) = (-130)
6. A right triangle has one vertex on the graph of
y = 9 – x2
, x > 0, at (x, y), another at the origin, and the
third on the positive x-axis at (x,0). Express the area A of
the triangle as a function of x.
Particle P moves along the y-axis so that its position at time t is given by y(t)=4t−23 for all times t. A second particle, particle Q, moves along the x-axis so that its position at time t is given by x(t)=sin(πt)2−t for all times t≠2.
As time t approaches 2, what is the limit of the position of particle Q ? Show the work that leads to your answer.
Show that the velocity of particle Q is given by vQ(t)=2πcos(πt)−πtcos(πt)+sin(πt)(2−t)2 for all times t≠2.
Find the rate of change of the distance between particle P and particle Q at time t=12. Show the work that leads to your answer.
a) The limit of the position of particle [tex]Q[/tex] when time approaches 2 is [tex]-\pi[/tex].
b) The velocity of particle [tex]Q[/tex] is [tex]v_{Q}(t) = \frac{2\pi\cdot \cos \pi t-\pi\cdot t \cdot \cos \pi t -\sin \pi t}{(2-t)^{2}}[/tex] for all [tex]t \ne 2[/tex].
c) The rate of change of the distance between particle [tex]P[/tex] and particle [tex]Q[/tex] at time [tex]t = \frac{1}{2}[/tex] is [tex]\frac{4\sqrt{82}}{9}[/tex].
How to apply limits and derivatives to the study of particle motiona) To determine the limit for [tex]t = 2[/tex], we need to apply the following two algebraic substitutions:
[tex]u = \pi t[/tex] (1)
[tex]k = 2\pi - u[/tex] (2)
Then, the limit is written as follows:
[tex]x(t) = \lim_{t \to 2} \frac{\sin \pi t}{2-t}[/tex]
[tex]x(t) = \lim_{t \to 2} \frac{\pi\cdot \sin \pi t}{2\pi - \pi t}[/tex]
[tex]x(u) = \lim_{u \to 2\pi} \frac{\pi\cdot \sin u}{2\pi - u}[/tex]
[tex]x(k) = \lim_{k \to 0} \frac{\pi\cdot \sin (2\pi-k)}{k}[/tex]
[tex]x(k) = -\pi\cdot \lim_{k \to 0} \frac{\sin k}{k}[/tex]
[tex]x(k) = -\pi[/tex]
The limit of the position of particle [tex]Q[/tex] when time approaches 2 is [tex]-\pi[/tex]. [tex]\blacksquare[/tex]
b) The function velocity of particle [tex]Q[/tex] is determined by the derivative formula for the division between two functions, that is:
[tex]v_{Q}(t) = \frac{f'(t)\cdot g(t)-f(t)\cdot g'(t)}{g(t)^{2}}[/tex] (3)
Where:
[tex]f(t)[/tex] - Function numerator.[tex]g(t)[/tex] - Function denominator.[tex]f'(t)[/tex] - First derivative of the function numerator.[tex]g'(x)[/tex] - First derivative of the function denominator.If we know that [tex]f(t) = \sin \pi t[/tex], [tex]g(t) = 2 - t[/tex], [tex]f'(t) = \pi \cdot \cos \pi t[/tex] and [tex]g'(x) = -1[/tex], then the function velocity of the particle is:
[tex]v_{Q}(t) = \frac{\pi \cdot \cos \pi t \cdot (2-t)-\sin \pi t}{(2-t)^{2}}[/tex]
[tex]v_{Q}(t) = \frac{2\pi\cdot \cos \pi t-\pi\cdot t \cdot \cos \pi t -\sin \pi t}{(2-t)^{2}}[/tex]
The velocity of particle [tex]Q[/tex] is [tex]v_{Q}(t) = \frac{2\pi\cdot \cos \pi t-\pi\cdot t \cdot \cos \pi t -\sin \pi t}{(2-t)^{2}}[/tex] for all [tex]t \ne 2[/tex]. [tex]\blacksquare[/tex]
c) The vector rate of change of the distance between particle P and particle Q ([tex]\dot r_{Q/P} (t)[/tex]) is equal to the vectorial difference between respective vectors velocity:
[tex]\dot r_{Q/P}(t) = \vec v_{Q}(t) - \vec v_{P}(t)[/tex] (4)
Where [tex]\vec v_{P}(t)[/tex] is the vector velocity of particle P.
If we know that [tex]\vec v_{P}(t) = (0, 4)[/tex], [tex]\vec v_{Q}(t) = \left(\frac{2\pi\cdot \cos \pi t - \pi\cdot t \cdot \cos \pi t + \sin \pi t}{(2-t)^{2}}, 0 \right)[/tex] and [tex]t = \frac{1}{2}[/tex], then the vector rate of change of the distance between the two particles:
[tex]\dot r_{P/Q}(t) = \left(\frac{2\pi \cdot \cos \pi t - \pi\cdot t \cdot \cos \pi t + \sin \pi t}{(2-t)^{2}}, -4 \right)[/tex]
[tex]\dot r_{Q/P}\left(\frac{1}{2} \right) = \left(\frac{2\pi\cdot \cos \frac{\pi}{2}-\frac{\pi}{2}\cdot \cos \frac{\pi}{2} +\sin \frac{\pi}{2}}{\frac{3}{2} ^{2}}, -4 \right)[/tex]
[tex]\dot r_{Q/P} \left(\frac{1}{2} \right) = \left(\frac{4}{9}, -4 \right)[/tex]
The magnitude of the vector rate of change is determined by Pythagorean theorem:
[tex]|\dot r_{Q/P}| = \sqrt{\left(\frac{4}{9} \right)^{2}+(-4)^{2}}[/tex]
[tex]|\dot r_{Q/P}| = \frac{4\sqrt{82}}{9}[/tex]
The rate of change of the distance between particle [tex]P[/tex] and particle [tex]Q[/tex] at time [tex]t = \frac{1}{2}[/tex] is [tex]\frac{4\sqrt{82}}{9}[/tex]. [tex]\blacksquare[/tex]
Remark
The statement is incomplete and poorly formatted. Correct form is shown below:
Particle [tex]P[/tex] moves along the y-axis so that its position at time [tex]t[/tex] is given by [tex]y(t) = 4\cdot t - 23[/tex] for all times [tex]t[/tex]. A second particle, [tex]Q[/tex], moves along the x-axis so that its position at time [tex]t[/tex] is given by [tex]x(t) = \frac{\sin \pi t}{2-t}[/tex] for all times [tex]t \ne 2[/tex].
a) As times approaches 2, what is the limit of the position of particle [tex]Q?[/tex] Show the work that leads to your answer.
b) Show that the velocity of particle [tex]Q[/tex] is given by [tex]v_{Q}(t) = \frac{2\pi\cdot \cos \pi t-\pi\cdot t \cdot \cos \pi t +\sin \pi t}{(2-t)^{2}}[/tex].
c) Find the rate of change of the distance between particle [tex]P[/tex] and particle [tex]Q[/tex] at time [tex]t = \frac{1}{2}[/tex]. Show the work that leads to your answer.
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Can Any One help me please
Answer:
its 71
Step-by-step explanation:
i used the calc
The probability of a spinner landing on yellow is 1/4. What does 3/4 represent?
Answer:
P(yellow')
Step-by-step explanation:
It represents the probability that it will not land on yellow (negative probability)
how many centermetres are there in a metre
Answer:
100 Centermeters in one meter
Step-by-step explanation:
Hope This Helps
Have A Great Day
Will someone help me with this problem please.
Answer:-5 10 ,13
Step-by-step explanation:
Simplify 3 x 4t. I am confused, could i get help for this questions on mathematics.
Answer:
Your answer is 12t.
Step-by-step explanation:
To get that take the T away for awhile.
Multiply 3 x 4.
The answer is twelve, so you bring the T back.
It will make it 12+t.
Your answer is 12t.
divide -2^3-5x^2+4x+2 by x+2
Answer:
−5x+14−34/x+2
Step-by-step explanation:
Pls, choose me as brainliest!
Isha, a super excited Khan Academy user, has increased her points by 75%, percent in a week. She's at 140000 points now. How many points did Isha have on Khan Academy last week?
Step-by-step explanation:
140,000 = 100 + 75 = 175%
100 % = 175%/1.75 = 140000 / 1.75 = 80,000
she had 80,000 points last week.
WHAT IS A+Z DIVIDED BY 60 WHAT IS THE ANSWER
a+z÷60
this is its most simplifyed form BUT if you know a and z than you can dove further
Please help me solve this equation please and thank you
Answer: (x, y) = (3, 4)
This is the same as saying x = 3 and y = 4 pair up together
======================================================
Explanation:
Subtract the equations straight down.
The x terms subtract to 5x (because -5x-(-10x) = -5x+10x = 5x)The y terms subtract to 0 (because 2y-2y = 0)The right hand side values subtract to 15 (because -7-(-22) = -7+22 = 15)After all that is said and done, we have this new equation
5x = 15
Divide both sides by 5 to get x = 3
Then we use this x value to find y
-5x+2y = -7
-5(3)+2y = -7
-15+2y = -7
2y = -7+15
2y = 8
y = 8/2
y = 4
Or,
-10x+2y = -22
-10(3)+2y = -22
-30+2y = -22
2y = -22+30
2y = 8
y = 8/2
y = 4
Either way, we end up with y = 4.
Overall, the solution as an ordered pair is (x, y) = (3, 4)
If you were to graph the two equations, they intersect at the location (3,4).
Answer:
Step-by-step explanation:
-5x + 2y = -7 --------------------(I)
-10x + 2y = -22 ------------------(II)
Multiply the whole equation (I) by (-1) and then add.
(I)*(-1) 5x - 2y = 7
(II) -10x+2y= -22 {Now add. y will be cancelled}
-5x = -15
x = -15/(-5)
x = 3
Plugin x = 3 in equation (I)
-5*3 + 2y = -7
-15 + 2y = -7
2y = -7 +15
2y = 8
y = 8/2
y = 4
a jar of cookies countains 9 vanilla and 9 chocolate cookies. what is the smallest number that must be removed (without looking) to be sure that at least 1 cookie removed will be chocolate?
Answer:
10
Step-by-step explanation:
It's possible to take all of the vanillas before you finally get a chocolate.
WHY YALL KEEP SHOWING ADDS
Answer:
be quiet this is ur first question
Step-by-step explanation:
(1 ‒ 4i)2 =
F. ‒15 ‒ 8i
G. 17 ‒ 2i
H. ‒15 + 8i
J. ‒17 + 2i
K. 17 ‒ 8i
Answer:
f
Step-by-step explanation:
(1-4i)^2 = 1-8i+16i^2
i^2 = -1
1-8i-16= -15-8i
find the value -2/3x^2 + 5x - 2 when x = -3 brainly
Answer:
-23 is the final answer
Step-by-step explanation:
[tex](\frac{-2}{3})x^{2} + 5x - 2[/tex]
[tex](\frac{-2}{3})(-3)^{2} + 5(-3) - 2[/tex]
[tex]-23[/tex]
Great Escape bought a vintage bicycle for $3,000. They marked it up
40% to sell in their store. Then, they ran a sale for 30% off. What
was the discount price of the bicycle?
Answer:
Solution,
CP of a bicycle=$3000
Marked up=40%
Now,
→40% of $3000
→40/100x$3000
→$1200
→$3000+$1200=$4200
Again,
Discount(d)=30%
→30%of $4200
→30/100x$4200
→$1260
Hence, the discount price of the bicycle is $1260
Step-by-step explanation:
The discount price of the bicycle will be $1260.
What are profit and loss?One of a company's financial accounts, an income statement or profit and loss account, lists the company's revenues and costs for a specific time period. It describes the process through which revenues are converted into net income or net profit.
Given that Great Escape bought a vintage bicycle for $3,000. They marked it up
The discounted price of the bicycle will be calculated as:-
Marked up=40%
40% of $3000
40/100x$3000
$1200
$3000+$1200=$4200
Now discount of 30%.
30%of $4200
30/100x$4200
$1260
Hence, the discount price of the bicycle is $1260.
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[tex]4(4x-4)+x+4=-46[/tex]
Answer:
x=-2
Step-by-step explanation:
[tex]4(4x-4)+x+4=-46\\16x-16+x+4=-46\\17x-16+4=-46\\17x-12=-46\\17x=-34\\x=-2[/tex]
Step-by-step explanation:
Given that:
4(4x - 4) + x + 4 = - 46
Multiply the number outside of the bracket with numbers in the bracket on LHS.
⇛16x - 16 + x - 4 = -46
⇛16x + x - 16 - 4 = -46
⇛16x + x - 12 = -46
Shift constant from LHS to RHS, changing it's sign.
⇛16x + x = -46 + 12
Subtract and add the values on LHS and RHS.
⇛17x = -34
Shift the number 17 from LHS to RHS.
⇛x = -34/17
Simplify the fraction to get the value of x.
⇛-2
Therefore, x = -2
Please let me know if you have any other questions.
What is the solution to 2.8x + 6 > 20?
Answer:
5
Step-by-step explanation:
From the expression 2.8x + 6 > 20
we have,
2.8x + 6 = 20,
2.8x + 6 - (20) = 0 ( Moving all terms to the left)
We then add the numbers and variables together,
to get 2.8x + (6-20) = 0
2.8x + (-14) = 0
2.8x - 14 = 0
2.8x = 14 ( Divide both terms by 2.8x)
2.8x/2.8 = 14 /2.8
x = 14 / 2.8
x = 5
Which of these algebraic expressions matches the verbal description "k cubed plus 7"? a. k3 +7 b. (k + 7) C. k + 73 d. 3k + 7 e 30k + 7)
Answer:
A
Step-by-step explanation:
Just as squared has an exponent of 2, cubed has an exponent of 3.
Therefore, k is seen as [tex]K^{3}[/tex] (or K^3 if that is too small to see)
Another keyword is "plus" as this indicates addition which has a symbol of +
So in this case, your answer would be A) K^3 + 7
Mary
bought a purse for
$25 and 5 pairs of
socks that cost $4
each. How much did
she spend?
Answer:
$45
Step-by-step explanation:
(25*1)+(4*5)=
25+20=
45
Answer:
Mary spent $45 in total
Step-by-step explanation:
Purse costed $25
She bought 5 pairs of socks
Which was $4 each
The equation to solve this is 25+5(4)
this equals 25+20
Then you add this together and get
$45
hope this helps please mark brainliest :)
Tatiana wants to give friendship bracelets to her 32 classmates. She already has 5 bracelets, and she can buy
more bracelets in packages of 4.
Write an inequality to determine the number of packages, p, Tatiana could buy to have enough bracelets.
4p+5=32 or 7 packages
I got this because there are 4 bracelets in one package and she doesn't know how many packages she needs so we put p for packages next to the 4 and you already have 5 so you add the 5 to it, all of that should come out to 32. If the equation wasn't what you were looking for you subtract 5 from 32 and get 27, then you divide 4 by 27 and you get 6.75, then you round it up and you get 7. The number of packages she needs is 7.
Suhana left at 11:45 to a trip to Dubai Expo 2020 and arrived at her destination 4 hours and 25 minutes later. What time did she reach
Answer:
4:10
Step-by-step explanation:
let's start by adding 4 hours to 11:45
12:45
1:45
2:45
3:45
now let's add 25 minutes
3:70
that is 4:10
if 9x^2-6x+5 is rewritten as p^2-2p+5, what is p in terms of x
Answer:
p = 3x
Step-by-step explanation:
p² = 9x² = 3² *x²
p² = (3x)²
p = 3x
A cable company offers two movie plans. Plan A costs $120 per month plus $5 per movie. Plan B costs $150 per month for unlimited movies. How many movies can Neil rent on either plan for one month and it will cost the same amount?
Answer: he could watch a maximum of 6 movies with plan A and still pay the same but the better deal is plan B. I hope that this helps! :)
Step-by-step explanation:
The number of movies can Neil rent on either plan for one month and will cost the same amount will be 6.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A cable company offers two movie plans. Plan A costs $120 per month plus $5 per movie. Plan B costs $150 per month for unlimited movies.
Let 'x' be the number of movies and 'y' be the total amount. Then the equations are given as,
y = 5x + 120
y = 150
Determine the number of movies when the cost is the same. Then we have
5x + 120 = 150
5x = 150 - 120
5x = 30
x = 30 / 5
x = 6
The number of movies can Neil rent on either plan for one month and will cost the same amount will be 6.
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Plz answer this math problem plz
Answer:
x = 12√2
Step-by-step explanation:
if its a square, all sides similar of 12 units.
then the bottom and side length is 12 units
we need to find x, the diagonal.
formula: a²+b² =c²
: 12² + 12² = c²
: c = √144+144
: c = √288
: c = 12√2
Therefore diagonal, x is 12√2
Cameras R Us buys cameras at wholesale and sells them at a 40% markup. Use the diagram to find the wholesale price of a camera the store sells for $77.100 percent = wholesale price. 40 percent markup. Retail price = 77 dollars.$45$50$55$60
Answer:
Your answer would be c
Step-by-step explanation: i did the question
Answer:
55.00
Step-by-step explanation:
Im smart
A recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour, 1 cup of sugar, and 2 cups pf chocolate chips. How much of each ingredient should be used to make 2 dozen cookies? plz help me
Answer:
6 cups of flour, 2 cups of sugar, and 4 cups of chocolate chips <3
Step-by-step explanation:
Because you're only making 2 dozen, simply multiply everything by 2 and you'll get the answer of 6 cups of flour, 2 cups of sugar, and 4 cups of chocolate chips!!! hoped this helped and feel free to ask any questions abt this :-)
12) A limo company charges a $75 fee to make a reservation and then c3 pomie What is the equation of this story in slope-intercept form
13) How much would it cost to rent a limo fora 27 mile ride?
14)How many miles could you rent the lime for if you only had $150 total?
Answer:
Step-by-step explanation:
12. = y = 50 + 75t is the price, y, for t hours of limo use.
13. = ?
14. = ?
