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.
HELP PRECALC WILL GIVE BRAINLIEST
Answer:
[500, 600, 500]
Step-by-step explanation:
Your friendly local matrix reducer will tell you the last column should be ...
500
600
500
__
what is 10^-9 plsplsp,sp,lskdkajgnjsogdhgjerojgjer
How to do an equation like this step by step? 4.5 (8 - x) + 36 = 100 - 2.5 (3x + 24)
Answer:
x = -10.6667
Step-by-step explanation:
Solve for x:
4.5 (8 - x) + 36 = 100 - 2.5 (3 x + 24)
4.5 (8 - x) = 36 - 4.5 x:
36 - 4.5 x + 36 = 100 - 2.5 (3 x + 24)
Grouping like terms, -4.5 x + 36 + 36 = (36 + 36) - 4.5 x:
(36 + 36) - 4.5 x = 100 - 2.5 (3 x + 24)
36 + 36 = 72:
72 - 4.5 x = 100 - 2.5 (3 x + 24)
-2.5 (3 x + 24) = -7.5 x - 60:
72 - 4.5 x = -7.5 x - 60 + 100
Grouping like terms, -7.5 x - 60 + 100 = (100 - 60) - 7.5 x:
72 - 4.5 x = (100 - 60) - 7.5 x
100 - 60 = 40:
72 - 4.5 x = 40 - 7.5 x
Add 7.5 x to both sides:
7.5 x - 4.5 x + 72 = (7.5 x - 7.5 x) + 40
7.5 x - 7.5 x = 0:
7.5 x - 4.5 x + 72 = 40
Grouping like terms, 7.5 x - 4.5 x + 72 = (-4.5 x + 7.5 x) + 72:
(-4.5 x + 7.5 x) + 72 = 40
7.5 x - 4.5 x = 3 x:
3 x + 72 = 40
Subtract 72 from both sides:
3 x + (72 - 72) = 40 - 72
72 - 72 = 0:
3 x = 40 - 72
40 - 72 = -32:
3 x = -32
Divide both sides of 3 x = -32 by 3:
(3 x)/3 = (-32)/3
3/3 = 1:
x = (-32)/3
(-32)/3 = -10.6667:
Answer: x = -10.6667
Divide. Reduce the answer to lowest terms. giveing brainlist
1/5 ÷ 3/4
Answer:
4/15
Step-by-step explanation:
1/5 * 4/3 = 4/15
Hope this helps and pls give me brainliest.
The solution is Option B.
The value of the equation 1/5 ÷ 3/4 is A = 4 / 15
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
A = 1/5 ÷ 3/4 be equation (1)
On simplifying the equation , we get
A = 1/5 x 4/3
A = 4 / ( 5 x 3 )
The value of A = 4 / 15
Therefore , the value of A is 4/15
Hence , the equation is A = 4/15
To learn more about equations click :
https://brainly.com/question/19297665
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Solve equation 4/3y = 18
Answer:
See Below
Step-by-step explanation:
[tex]\frac{4}{3} y = 18\\[/tex]
3 x [tex]\frac{4}{3} y = 18\\[/tex] x3
4y = 54
divide by 4
y= 13 1/2 or 13.5
11) the difference between the product of 4 and a
number and the square of the number
Answer:
[tex]= 4x-x^2\\\\[/tex]
Step-by-step explanation:
Let the number be x;
The product of 4 and the number will be;
[tex]= 4 * x\\\\= 4x[/tex]
The the square of the number is given as;
[tex]= x^2\\[/tex]
Taking the difference of both expressions above;
[tex]= 4x-x^2\\\\[/tex]
Factor out the common term:
[tex]= x(4-x)\\\\[/tex]
Hence the difference between the product of 4 and a number and the square of the number is [tex]= 4x-x^2\\\\[/tex]
Barbara's Catering Company makes the best fruit salad despite using only four ingredients. They use four apples for every mango, two pears for every apples, and one pineapple for every mango. If they use 8 pineapple in their most recent batch, how many recent batch l, how many total pieces of fruit did they use?
Answer:
2
Step-by-step explanation:
compare these numbers
Answer:
[tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]
Step-by-step explanation:
√11 is about 3.32.
Smallest-to-largest, the numbers are ...
[tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]
Will give 100 points.
Answer:
Ф = 66.2°
Step-by-step explanation:
The formula for work as
W = Fd cos(Ф)
cos(Ф) = W / Fd
Ф = cos^(-1)〖W/Fd
Ф = cos^(-1)〖110/33(8.25) 〗
Ф = 66.2°
Answer:
Ф = 66.2°
Step-by-step explanation:
If 11 boxes of chocolates contain 220 chocolates in total, calculate how many chocolates 5 box of chocolates will contain
chocolates
Answer:100 chocolates
Step-by-step explanation:
20 chocolate in each box so 20 time 5 is 100 so 20 time 11 is 220
Suri solved the equation x^2=49 and found that x = 7. What error did Suri make? 15 points to answer
he was at the end of the day with u and I 6so was a little bit of a joke but I 6
Step-by-step explanation:
just like that I don't think you know that I have to do that again 261and but it 1was 1is 1and 1is 1and is not 774a
Sixty three hundred thousandth in standard form what is it?
Answer:
63(10)^4
Step-by-step explanation:
630 000= [tex]63(10)^4[/tex]
Will mark Brainliest!!!!! Suppose A, R, and B are collinear on AB, and
AR: AB = 1/4 What are the coordinates of R?
Please give explanation
Answer:
[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]
Step-by-step explanation:
Given
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]AR:AB = 1:4[/tex]
Required
Determine R
This question will be solved using line ratio formula
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex]
Where
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]m:n = AR : RB[/tex]
Since R is on A and B;
[tex]AB = AR + RB[/tex]
[tex]4 = 1 + RB[/tex]
[tex]RB = 3[/tex]
Hence;
[tex]m:n = 1 : 3[/tex]
[tex]A = (1,-1)[/tex]
[tex]B = (4,4)[/tex]
[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex] becomes
[tex]R(x,y) = (\frac{1 * 4 + 3 * 1}{1+3},\frac{1 * 4 + 3 * -1}{1 + 3})[/tex]
[tex]R(x,y) = (\frac{4 + 3}{4},\frac{4 - 3}{4})[/tex]
[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]
Solve -2a -5 > 3 Which graph shows the solutions?
Answer: a< -4 D
Step-by-step explanation:
Need helppppppp!!!!Solve the absolute value equation: |3x - 6| = 12
Answer:
3x-6=12
3x-6=-12
x=6
x= -2
1st x = -2
2nd x = 6
Step-by-step explanation:
A certain field is a rectangle with a perimeter of
846
feet. The length is
159
feet more than the width. Find the width and length of the rectangular field.
Answer:
Width = 132 feet, Length = 291 feet
Step-by-step explanation:
perimeter (P) = 846
let width(W) = x
length(L) = 159 feet more than width = 159 + W= 159 + x
P of a rectangle = 2*(L + W)
846 = 2*((159 + x) + x)
divide both side by 2
423 = (159 + x) + x
423 = 159 + 2x
rearranging
2x + 159 = 423
2x = 423 -159
2x = 264
divide both sides by 2
x = 132 feet
recall W = x and L = 159 + x
W = 132 feet
L = 159 + 132 = 291 feet
solve the equation X³+2X²-5X -6
Answer: x = {-1, -3, 2}
Step-by-step explanation:
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work (result in a remainder of zero).
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
| ↓ 1 3 -2
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
| ↓ -1 -1 6
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
please help me solve it
Answer:
I SUGHESTED THE ANSWER IS Aafter measurements or observation are made in a scientific investigation. it is most appropriate to what?
Answer:
Once you collect your measurements, the next step would be to analyze them to see if they support your hypothesis or not.
If you find your predictions to be inaccurate and your hypothesis was not supported, go back, make another hypothesis and redo the experiment.
There are 4 consecutive integers that have a sum of 34. What are the integers
Answer:
consider integer are x, x+1, x+2, x+3
now x+(x+1) + (x+2) + (x+3) = 34
or, 4x + 6 = 34
or, 4x =28
x= 7
x =7
x+1 = 7+1 =8
x+2= 7+2=9
x+3= 7+3 =10
Answer:
Step-by-step explanation: 7,8,9,10
The equation of a parabola with a vertex as the origin is y2=−4px. If 4p=12, what is the equation of the directrix?
Answer:
-5
Step-by-step explanation:
4 kitchen assistants can prepare 10kg of vegetables in 45 minutes. How long would it take 25 assistants to prepare
If m•DBC = 74° and m•ABC = 119°, find m•ABD.
Answer:
193 degrees
Step-by-step explanation:
you add 74 degrees + 119 degrees and that equals up to 193 degrees
4 (-2×+9) = - 2 (3×-7)
Answer:
Step-by-step explanation:
4(-2x + 9) = -2(3x -7) {use distributive rule}
4*-2x + 4*9 = -2*3x - 7*(-2)
-8x + 36 = -6x + 14
Subtract 36 from both sides
-8x + 36 - 36 = -6x + 14 -36
-8x = -6x - 22
Add 6x to both sides
-8x + 6x = -6x +6x - 22
-2x = -22
Divide both sides by (-2)
-2x/-2 = -22/-2
x = 11
Twenty-two increased by six times a number is 28. whats the number
Answer:
1.27
Step-by-step explanation:
Using 2 shapes, how many 5-place patterns can be made
Answer:
Step-by-step explanation:
3
How are the entries of the matrix named by position?
Answer:
6=a23
8=a35
2=a32
Step-by-step explanation:
Two points (p, q) on a linear supply function are ($2.55, 98,000) and ($6, 195,500).
⦁ Determine the supply function q = f(p).
⦁ What price would result in supplier offering 145,000 units for sale?
⦁ Interpret the slope of the function.
⦁ Determine the p intercept.
⦁ Sketch f(p)
Answer:
q ≈ 28270p +25935$4.21 will give a supply of 145,000slope is the supply increase per dollar of pricep-intercept is about -$0.92a graph is attachedStep-by-step explanation:
The two-point form of the equation of a line is useful for this.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
q = (195500 -98000)/(6.00 -2.55)(p -2.55) +98000
q = 97500/3.45(p -2.55) +98000
q ≈ 28269.9p +25934.8
__
For a supply of 145000, the price would need to be ...
145000 = 28269.9p +25934.8
119065 = 28270p
119065/28270 = p = 4.21
A price of $4.21 will result in a supply of $145,000.
__
The slope is the additional amount supplied for each dollar increase in price.
__
The price value that results in a supply of zero is ...
0 = 28270p +25935
-25935 = 28270p
-25935/28270 = p ≈ -0.92
The p-intercept is about -$0.92.
12 x 3 x 8 + 3 + 1 - 100 x 2323
Answer:
-232008
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
12 x 3 x 8 + 3 + 1 - 100 x 2323
Step 2: Multiply
36 x 8 + 3 + 1 - 100 x 2323
Step 3: Multiply
288 + 3 + 1 - 100 x 2323
Step 4: Multiply
288 + 3 + 1 - 232300
Step 5: Add
291 + 1 - 232300
Step 6: Add
292 - 232300
Step 7: Subtract
-232008
Answer
-232,008 is ans of this simplification
A car travels west for 240 km in 4 hr. What is the car's velocity? *
1 point
16.67
Answer:
velocity of the car is 16.667
Step-by-step explanation:
first
changing si unit of both km and hrs into meter and second
then
v= m/s
v=240000/14400
v= 16.667m/s
Answer:
answer
Step-by-step explanation:
Velocity equals distance divided by time.
240 km divided by 4 h
Velocity equals 60 km/h W