Answer:
A) points at which paths intersect : (1,1,1) ; (2,4,8)
B) DNE
Step-by-step explanation:
A) To find the points in which the particle paths intersect, it is necessary to find the values of t for which the three components of both vectors are equal:
[tex]t_1=1+2t_2\\\\t_1^2=1+6t_2\\\\t_1^3=1+14t_2[/tex]
you replace t1 from the first equation in the second equation:
[tex](1+2t_2)^2=1+6t_2\\\\1+4t_2+4t_2^2=1+6t_2\\\\4t_2^2-2t_2=0\\\\t_2(2t_2-1)=0\\\\t_2=0\\\\t_2=\frac{1}{2}[/tex]
Then, for t2 = 0 and t2=1/2 you obtain for t1:
[tex]t_1=1+2(0)=1\\\\t_1=1+2(\frac{1}{2})=2[/tex]
Hence, for t1=1 and t2=0 the paths intersect. Furthermore, for t1=2 and t2=1/2 the paths also intersect.
The points at which the paths intersect are:
[tex]r_1(1)=(1,1,1)=r_2(0)=(1,1,1)\\\\r_1(2)=(2,4,8)=r_2(\frac{1}{2})=(2,4,8)[/tex]
B) You have the following two trajectories of two independent particles:
[tex]r_1(t)=(t,t^2,t^3)\\\\r_2(t)=(1+2t,1+6t,1+14t)[/tex]
To find the time in which the particles collide, it is necessary that both particles are in the same position on the same time. That is, each component of the vectors must coincide:
[tex]t=1+2t\\\\t^2=1+6t\\\\t^3=1+14t[/tex]
From the first equation you have:
[tex]t=1+2t\\\\t=-1[/tex]
This values does not have a physical meaning, then, the particle do not collide
answer: DNE
A map has a scale of 3cm 7km if two cities was 8 cm on the nearest tenth of a kilometer
Answer:
18.7 km
Step-by-step explanation:
3 cm >>> 7 km
1 cm >>> 7/3 km
8 cm >>> 8*7/3 km= 18.7 km
Answer:
18.7
Step-by-step explanation:
If f(x)= 5x + 40, what is f(x) when x = -5?
Answer:
f(x) = 15
Step-by-step explanation:
"If f(x)= 5x + 40, what is f(x) when x = -5?"
Substitute x for -5:
f(x) = 5x + 40
f(x) = 5(-5) + 40
f(x) = -25 + 40
f(x) = 15
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the
United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have?
Round to the nearest cent.
1 European euro = 1.3687 US dollars
44.70 US dollars
73.06 US dollars
136.87 US dollars
140.41 US dollars
Answer:
44.70 USD
Step-by-step explanation:
250÷1.3687
=182.655074158
182.655074158-150
=32.655074158
32.655074158×1.3687
=44.6950000001
The 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip.
After returning to the United States he converts his money back to US dollars. H
Let x be the total original 250 US dollars Phelan now have:
The value of x can be found as follows:
x = (250/1.3687 - 150)x1.3687
After simplification:
x = 44.69 ≈ 44.70 US dollars
Thus, the 44.70 US dollars Phelan now has if Phelan exchanged 250 US dollars for euros option (A) is correct.
Learn more about the unit conversion here:
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What’s the correct answer for this?
Answer:
(AE )(EB)=(CE)(ED)
Step-by-step explanation:
The lines (AE )(EB)=(CE)(ED)
Line AE is congruent with line CE and Line EB is congruent with ED
A line is congruent when they assume the same shape and form but only they can be flipped;
AB and CD are both line segments.
Answer:
fourth option
Step-by-step explanation:
Given two intersecting chords, then
The product of the parts of one chord is equal to the product of the parts of the other chord, that is
AE(EB) = CE(ED)
Each side of a square piece of confetti is 12 millimeters long. What is the piece of confetti's perimeter?
Answer:
P=48 millimeters
Step-by-step explanation:
p=4l
p=4 x 12
p=48 mm
A company makes two types of biscuits: Jumbo and Regular. The oven can cook at most 400 biscuits per day. Each jumbo biscuit requires 2 oz of flour, each regular biscuit requires 1 oz of flour, and there is 600 oz of flour available. The income from each jumbo biscuit is $0.08 and from each regular biscuit is $0.11. How many of each size biscuit should be made to maximize income? What is the maximum income?
Answer:
$ 44
Step-by-step explanation:
If we analyze the statement well, we can observe something very crucial to solve it, the jumbo biscuits require 2 oz of flour and give a profit of $ 0.08, the Regular one that only requires 1 oz of flour leaves a profit of $ 0.11, which means that requiring a smaller quantity of flour leaves a greater profit, so in terms of profit it is not profitable to make Jumbo, only Regular.
Therefore, since you can make 400 biscuits, they would all be regular since there are 600 oz of flour available, it is enough to make 400, therefore the maximum profit would be:
$ 0.11 * 400 = 44
The maximum possible profit is $ 44
How do I write the formula?
Answer:
1/5x = h(x)
Step-by-step explanation:
6x+y = 4x+ 11y
Subtract y from each side
6x+y -y = 4x+ 11y-y
6x = 4x+10y
Subtract 4x from each side
6x-4x = 4x+10y-4x
2x = 10y
Divide each side by 10
2x/10 = 10y/10
1/5x = y
1/5x = h(x)
Find the distance between the points (6,-4) and (-3,-4) .
The right answer is 9 units.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment:)
what is the following product ? (sqrt12+sqrt6) (sqrt6-sqrt10)
Answer:
6√2-2√30+6-2√15
Step-by-step explanation:
(√12+√6)(√6-√10)=
√12*6- √12*10+√6*6-√6*10=
6√2-2√30+6-2√15
Please answer this question ! thank you so much !! Will give brainliest !!
Answer:
y = -7x + 14
Step-by-step explanation:
m=1/7
m perp = -7
y = mx + b
-7 = -7(3) + b
14 = b
y = -7x + 14
Round 4/7 to the nearest tenth.
Answer:
0.6
Step-by-step explanation:
4/7 can be considered a suspended division problem. To find the answer, 4 must be divided by 7. This yields the result 0.57142, which can be rounded to 0.6.
Factor 4x^2+12x+5 by applying the distributive property
Answer:
(2x + 5)(2x + 1)
Step-by-step explanation:
4x^2 + 12x + 5
=4x^2 + 2x + 10x + 5
=2x(2x + 1) + 5(2x + 1)
=(2x + 5)(2x + 1)
Hope this helps!
¿Qué es y para que nos sirve la jerarquía de operaciones en la vida cotidiana?
for example, si te pones los zapatos antes que los pantalones, te costará mucho vestirte
What is the difference in the length between a 1-1/4-inch button and a 3/8-inch button?
Answer:
7/8
Step-by-step explanation:
1 1/4 - 3/8
5/4 - 38
0/8 - 3/8
7/8
Who knows the answer to the picture?
Step-by-step explanation:
The way i like to remember it is that the exponent inside of the radical will be the numerator of the fraction and the index of the radical will be the denominator so the answer is 2^(-5/3).
Ann and Tom want to establish a fund for their grandson's college education. What lump sum must they deposit at an 8% annual interest rate, compound annually, in order to have $40,000 in the fund at the end of 10 years?
Answer:
$18,527.74
Step-by-step explanation:
Each year, the fund amount is multiplied by 1+8% = 1.08. After 10 years, it will have been multiplied by that factor 10 times, 1.08^10. For some principal P deposited now, we want ...
P(1.08^10) = $40,000
P = $40,000/1.08^10 ≈ $18,527.74
Find the missing side length. Show all of your work. *
A homeowner finds that there is a 0.15 probability that a flashlight does not work when turned on. If she has three flashlights, find the probability that at least one of them works when there is a power failure. Find the probability that the second flashlight works given that the first flashlight works.
Answer:
A) 0.386
B).0.325
Step-by-step explanation:
probability p will not work = 0.15
Q probability w5ill work = 0.85
Number of flashlight = 3
Probabilty of at least one=
1- probability of none
But probability of none= 3C0(p)^0(q)^3
= 1*(0.15)^0(0.85)^3
= 1*1*(0.614)
= 0.614
Probability of at least one=1-0.614
= 0.386
Probability of two flashlight work
= 3C1(0.15)^1(0.85)^2
= 3*(0.15)*(0.7225)
= 0.325
A rectangular swimming pool is 17 meters long, 13 1/2 meters wide, and 2 1/2 meters deep. What is its volume?
Answer: 573.75 meters^3
Step-by-step explanation:
Volume = Length x width x height
Volume = 17 x 13.5 x 2.5
What’s the correct answer for this?
Answer:
B:
Step-by-step explanation:
IN THE ATTACHED FILE
Four interior angles of a pentagon measure 88°, 118, 132, and 100°. What is the measure of the fifth interior angle?
82
92
102
112
Answer:
fifth angle = 102°
Step-by-step explanation:
A pentagon is a polygon that have 5 sides. A pentagon can be divided into 3 triangles .And the sum of angle in a triangle is 180°. Therefore the sum of interior angle in a pentagon will be 180 × 3 = 540°. The sum of interior angles of a pentagon = 540°.
The general rule for calculating sum of the interior angles of a polygon is
sum of interior angle = (n−2) × 180°
where
n = number of sides
n = 5 since we are dealing with a pentagon.
sum of interior angle of a pentagon = 540°
The fifth angle can be computed when you subtract the sum of the 4 angles from 540°.
fifth angle = 540 - (88 + 118 + 132 + 100)
fifth angle = 540 - 438
fifth angle = 102°
Answer:
its C on edg
Step-by-step explanation:
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The requried equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Given equations,
(A) 2 + x = 5
Simplifying the above expression,
x = 5 - 2
x = 3
Similarly, simplify all the equations,
(B) x = 3
(C) x = -3
(D) x = 11
(E) x = 3
Therefore, equations that give x = 3, after simplification is equivalent equations.
Thus, the requried equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
Learn more about simplification here:
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can someone help me?
Answer: 26
Step-by-step explanation:
32-6 = 26
At a fundraiser, a school group charges $8 for tickets for a "grab bag." You choose one bill at random from a bag that contains 38 $1 bills, 20 $5 bills, 7 $10 bills, 5 $20 bills, and 1 $100 bill. Is it likely that you will win enough to pay for your ticket?
It is that you will win enough to pay for your ticket because the probability of winning enough to pay for your ticket as a simplified fraction is
Answer:
a. It is not likely that a winning ticket will be selected
b. The probability of winning enough to pay for the ticket expressed as a simplified fraction is 13/71
Step-by-step explanation:
To answer this question, there are some important notes to know.
1. The selection is only once
2. To win, you have to select a note which has a greater value than $8
Now, the total number of notes that we have = 38 + 20 + 7 + 5 + 1 = 71
The number of bills present that are greater than $8 are; 7 $10 bills , 5 $20 bills and 1 $100 bill
This makes a total of 7 + 5 + 1 = 13
Thus, the probability of selecting a bill which would pay for the charges is 13/71
Now, the probability of not selecting is 1- probability of selecting = 1-13/71 = 58/71
Since the probability of not selecting is greater than the probability of selecting, it means that it is not likely that a winning ticket will be selected
If you roll two fair dice how many different ways can you obtain a different number on each side
Answer:
30
Step-by-step explanation:
You can have any number on the first die, and any number besides the first one on the second. 6*5=30
Find the value of a in the equation below
2sin(1÷4a+20)=√3
Step-by-step explanation:
[tex]sin(1 \div 4a + 20) = \sqrt{3} \div 2 \\ sin(1 \div 4a + 20) =sin 60[/tex]
1÷4a+20=60
1÷4a=4
a=1/160
The volume of a cube is 343 cubic feet. What is the side length of the cube
A. 12 feet
B. 23 feet
C. 7 feet
D. 2 feet
Steps:
Shape: Cube
Solved for side length of the cube
Volume: 343 cubic feet
Formula: a=V⅓
Description:
Using the formula for the volume of the cube a=V⅓. We are going to calculate the side length of the cube. Your answer will be 7 feet. Meaning the correct answer for this question is C.
Answer: a≈7ft
Please mark brainliest
Hope this helps.
Enter a positive common factor ( other than 1) of 35 and 42
Which of the following is the solution to 3x - 1>=12
Answer:
The solution to [tex]3x\:-\:1\ge 12[/tex] is [tex]x\ge \frac{13}{3}[/tex].
Step-by-step explanation:
An inequality is a mathematical relationship between two expressions and is represented using one of the following symbols: inequalities involving "<", "≠" or ">" are referred to as "strict inequalities", while inequalities involving "≤" or "≥" are not.
Solving an inequality means finding all of its solutions. A solution of an inequality is a number which when substituted for the variable makes the inequality a true statement.
To find the solution to [tex]3x\:-\:1\ge 12[/tex]
[tex]\mathrm{Add\:}1\mathrm{\:to\:both\:sides}\\\\3x-1+1\ge \:12+1\\\\\mathrm{Simplify}\\\\3x\ge \:13\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}\ge \frac{13}{3}\\\\\mathrm{Simplify}\\\\x\ge \frac{13}{3}[/tex]
1. In an AP, the ratio of the 2nd term to the 7th term is 1/3. If the 5th term is
11, what is the 15th term?
Answer:
T15 = 31
Step-by-step explanation:
Its in the picture
I hope it helps :)
