Answer:
La lancha y el bote se encontrarán a 70 metros de distancia del puente.
Step-by-step explanation:
Sea el punto debajo del puente el punto de referencia y que ambas lanchas se desplazan a velocidad a continuación, las ecuaciones cinemáticas para cada embarcación son presentadas a continuación:
Bote a 7 metros por segundo
[tex]x_{A} = x_{o}+v_{A}\cdot t[/tex] (Ec. 1)
Lancha a 10 metros por segundo
[tex]x_{B} = x_{o}+v_{B}\cdot (t-3\,s)[/tex] (Ec. 2)
Donde:
[tex]x_{o}[/tex] - Posición debajo del puente, medido en metros.
[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Posición final de cada embarcación, medido en metros.
[tex]v_{A}[/tex], [tex]v_{B}[/tex] - Velocidad de cada embarcación, medida en metros por segundo.
[tex]t[/tex] - Tiempo, medido en segundos.
Para determinar la posición en la que ambas embarcaciones se encuentran, se debe determinar el instante en que ocurre a partir de la siguiente condición: [tex]x_{A} = x_{B}[/tex]
Igualando (Ec. 1) y (Ec. 2) se tiene que:
[tex]v_{A}\cdot t = v_{B}\cdot (t-3\,s)[/tex]
Ahora despejamos el tiempo:
[tex]3\cdot v_{B} = (v_{B}-v_{A})\cdot t[/tex]
[tex]t = \frac{3\cdot v_{B}}{v_{B}-v_{A}}[/tex]
Si sabemos que [tex]v_{B} = 10\,\frac{m}{s}[/tex] y [tex]v_{A} = 7\,\frac{m}{s}[/tex], entonces:
[tex]t = \frac{3\cdot \left(10\,\frac{m}{s} \right)}{10\,\frac{m}{s}-7\,\frac{m}{s}}[/tex]
[tex]t = 10\,s[/tex]
Ahora, la posición de encuentro es: ([tex]x_{o} = 0\,m[/tex], [tex]v_{A} = 7\,\frac{m}{s}[/tex] y [tex]t = 10\,s[/tex])
[tex]x_{A} = 0\,m + \left(7\,\frac{m}{s} \right)\cdot (10\,s)[/tex]
[tex]x_{A} = 70\,m[/tex]
La lancha y el bote se encontrarán a 70 metros de distancia del puente.
factorize : 8a³-b³
Step-by-step explanation:
8a^3 - b^3
= (2a)^3 - b^3
= (2a -b) (4a^2 + 2ab + b^2)
An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 8a³-b³ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be rewritten as,
8a³ - b³
= (2a)³ - b³
It is known that x³-y³ can also be written as (x-y)(x²+xy+y²). Therefore, the above expression can be written as,
= (2a)³ - b³
= (2a - b)[(2a)² + (2a × b) + b²]
= (2a - b)(4a² + 2ab + b²)
Hence, the given expression 8a³-b³ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).
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Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?
X' = U - X
= {1,2,3,4,5,6} - {1,4,5}
= {2,3,6}
(ZUX') = {2,3,5} U {2,3,6}
= {2,3,5,6}
(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}
= {2}
Find the distance between the points E(3, 7) and F(6, 5).
The exact distance between the two points is
Answer:
The answer is
[tex]\sqrt{13} \: \: \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
E(3, 7) and F(6, 5)
The distance between them is
[tex] |EF| = \sqrt{( {3 - 6})^{2} + ({7 - 5})^{2} } \\ = \sqrt{ ({ - 3})^{2} + {2}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: \: \: \: \: [/tex]
We have the final answer as
[tex] \sqrt{13} \: \: \: \: units[/tex]
Hope this helps you
A virus strain is 0.00000015 meters in length. What is the length in scientific notation?
Answer:
1.5*10^-5
Step-by-step explanation:
Hey there! I'm happy to help!
Scientific notation is writing a number 1-10 multiplied by ten to a certain power. We see that we can write the number 1.5 to fit this.
We want to multiply by ten to a negative power as the decimal has been moved to the left. Let's count how many times we need to move the decimal over to get to 1.5.
If we count this, we have to move 7 places to get the decimal in the right spot. Therefore, to write this in scientific notation, we would write 1.5×10^-7.
Have a wonderful day! :D
2(4x - 3) 2-3(3x) + 5x
Answer:
12x-12
Step-by-step explanation:
I believe this is the correct answer, but correct me if I'm wrong.
PLSS HELPPP 20 POINTS
Which of the following is the best way of selecting a random sample from students at King
Middle School?
a) Use the student directory, toss a number cube, start from that name, and select every tenth person.
b) Select every student from one grade.
c) Use the student directory, pick one student's name by chance, and then pick another student's
name.
d) Pick every tenth person who arrives at school by bus.
Answer:
a
Step-by-step explanation:
just did it
Answer:the 2nd one is the answer it's easy I just did it :
how do we use inverse functions in everyday life
we basically use inverse functions in our daily lives all the time
to give you a more complicated example : knowing the interest rate, you have a function to calculate the cumulative value of an installment payment
functions are also used in computing
sun^4A+sin^2Acos^2A=sin^2A
Step-by-step explanation:
sin⁴A + sin²Acos²A = sin²A
Proving the left hand side ( LHS)
That's
sin⁴A can be written as ( sin²A)(sin ²A)
So we have
( sin²A)(sin ²A) + sin²Acos²A
Next factor sin²A out
That's
sin²A ( sin²A + cos²A)
Using trigonometric identities
That's
sin²A + cos²A = 1Simplify the expression
That's
sin²A × 1
We have the final answer as
sin²AAs proven
Hope this helps you
Please Show Work 6x(-4) Six times negative four.
Answer:
6 x (-4)
= (-24)
Step-by-step explanation:
when multiplying integers, you first need to multiply the numbers. Then you need to look at the signs if both numbers have the same signs or if it doesn't. if the signs are the same, the product is a positive . If the two numbers have different signs, you will get a negative product.
NOTE: if a number doesn't have a sign, it's a positive number
the difference between -89.2 and 56.7
Answer:
Step-by-step explanation:
-32.5
PLZ HELP FAST
short sentences plz
Answer:
Step-by-step explanation:
The women used a crib and used force to push the baby's crib
That guy was speeding
The bikes accelerated as he pedaled
The guy needed velocity to turn his bike
You need to exert to push a door
Space has no gravity
Newton's first law was a great moment
That object has interia
SORRY THAT'S THE BEST I CAN DO...
In 1988, a certain model of car cost $17000. What would be the cost of that car in 2017 dollars?
Answer:
$66,092.50
Step-by-step explanation:
In 1988, the car cost $17,000
Annual inflation over this period was 3.54% from 1988 to 2017
After adjusted for inflation, $17,000.00 in 1978 is equal to $66,092.50 in 2017
Therefore, the cost of that car in 2017 is closest to $66,092.50
In a population of elderly war veterans, the probability that a veteran will have been exposed to agent orange (a militarized herbicide) and develop cancer is 0.35. The probability is 0.75 that a veteran exposed to agent orange will develop cancer. The average age of the veterans is 67 years old. What is the probability that a random veteran will have been exposed to agent orange
Answer:
Probability that a random veteran will have been exposed to agent orange is 0.4667
Step-by-step explanation:
P(exposed to agent cancer and develop cancer) = 0.35
P(develop cancer given he is already exposed to agent orange) = 0.75
P(is exposed to agent cancer) = ?
P(A given B) = P(A and B)/P(B),
P(develop cancer | exposed to agent orange) = P(develop cancer and exposed to agent orange)/P(exposed to agent orange)
0.75 = 0.35/P(exposed to agent orange)
P(exposed to agent orange) = 0.35/0.75
P(exposed to agent orange) = 0.4667
The final velocity of an object moving in one dimension is given by the formula v=u+at, where u is the initial velocity, a is the acceleration, and t is the time. Solve the equation to t. To solve for t, first __ both sides of the equation.
Answer:
subtract u from
Step-by-step explanation:
the second answer is D. t=(v-u)/a
just did it on edge
Answer:
"subtract u from"
Step-by-step explanation:
correct on edge 2022 :)
800 out of 1/10 is what?
The answer is 80.
Please mark brainliest
HELP!
Write an equation to represent: The cost of buying lemonade stand supplies is $0.50 per cup, $5 for ingredients, with a total cost of $30.
Answer:
$0.50x+5=30
Step-by-step explanation:
maf
mZSRW =
need a fast answer thanks!
Answer:
The answer is 95 degrees.
Step-by-step explanation: rtw and srw are vertical angles and therefore have the same angle measure
PLs give brainliest if someone else answers!
The measurement of the angle ∠ SRW in the given figure is 95°
What are angles?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Angles formed by two rays lie in the plane that contains the rays.
Angles are also formed by the intersection of two planes.
Given is a figure, lines VS and TW are intersecting at the point R, making angles, TRV, TRS, VRW and SRW,
We need to find the measurement of the angle SRW,
Here, we can see that the angles TRV and SRW, are vertically opposite angles,
Vertically opposite angles :-
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.
Therefore, we can say that, ∠ TRV = ∠ SRW
Since, ∠ TRV = 95°
Therefore, ∠ SRW = 95°
Hence, the measurement of the angle ∠ SRW in the given figure is 95°
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Which best describes what is happening in section B
Answer:
Jamal is traveling at a constant speed.
Step-by-step explanation:
because it's a line going straight and not down.
36599 round to the nearest thousand 100,699 round to the nearest thousand
Answer:
36,599 rounded to the nearest thousand is 37,000
100,699 rounded to the nearest thousand is 101,000
hope this helps! best of luck <3
Answer:
37000
101000
Step-by-step explanation:
Change 84 inches to feet
A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit
Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583
Step-by-step explanation:
Given the following :
Total number of coin tosses = 60
Total number of times coin landed on head = 35
Proportion of head landings obtained :
Total number of head landings obtained / total number of coin tosses
Proportion of head landing obtained :
= 35 / 60 = 7 / 12 = 0.5833
10. Four employees are paid a monthly salary as follows: Wilma. $1.820: Mavis,
$1,615; Martha, $1.977: Tom. $1.560. Whöt average salary per month are these
employees paid?
Answer: Average salary per month=$1,743
(NB--- I am thinking you meant $1,977, $1,560, $1,820 instead of $1.977 $1.560. $1.820 ie a comma instead of decimal point, so i corrected and solved )
Step-by-step explanation:
Step 1
Average salary =Total amount of employees salaries/ Number of employees
Step 2
Employee Amount of salary per month
Wilma $1,820
Mavis, $1,615
Martha, $1,977
Tom $1,560.
Total = $ $6,972
Average salary per month = $1,820 + $1,615+$1.977+$1.560/4 =$6,972/4= $1,743
15 out of 60 is what percentage
......................................................
Answer:
x = 6
Step-by-step explanation:
Area of rectangle = length * width
= 10 * (x +2)
= 10*x + 10*2
= 10x + 20 square units
Area of triangle = [tex]\frac{1}{2}*bh[/tex]
[tex]=\frac{1}{2}*2*(x + 4)\\\\\\=1 * (x +4)\\\\\\[/tex]
= (x + 4) square units
Area of rectangle = 8* area of triangle
10x + 20 = 8 *( x+ 4)
10x + 20 = 8x + 32
Subtract 20 form both sides.
10x = 8x + 32 - 20
10x = 8x + 12
Subtract 8x form both sides
10x - 8x = 12
2x = 12
Divide both sides by 2
2x/2 = 12/2
x = 6
A golfer earned the following scores over several rounds of golf: −3, 2, 0, −1, 2, −4. Jamar says these numbers can all be described as integers, while Sophia says they are whole numbers. Which student is correct? Explain how you know.
Answer:
Jamar is correct.
Step-by-step explanation:
The scores are as follows :
−3, 2, 0, −1, 2, −4.
These numbers include negative, positive and 0 as well. These numbers cannot written in a fractional form. It means they are integers.
Here, amar says these numbers can all be described as integers, while Sophia says they are whole numbers.
It would mean that Amar is correct. Sophia is incorrect because she told that the are whole numbers. Whole numbers are simply number like 0,1,2,3,4....
Each school bus can hold 65 students. If there are 8 buses, how many students can ride the bus?
Answer:
520
Step-by-step explanation:
I need help with this question
Ace's brother is 9 years older than three times his age. the sum of their ages is 57 .how old is Chris?
show me your equation and answer
Answer:
3x+9=57; Chris is 16 years old
Step-by-step explanation:
3x+9=57
Move the Constant to the right
3x=57-9
Calculate
3×=48
Divide both sides
x= 16
Marsha bought a pencil for $2.81 and a drink for $3.67. She paid with a $20 bill. How much change should Marsha have received?
Answer:13.52
Step-by-step explanation:2,81+3.67=20-6.48=13.52
i need help i’m stuck on this one
Answer:
i would say the 2nd or 3rd on bc that is kinda confusing