Answer:
2 4/5 and 3 2/3
Step-by-step explanation:
find how many times the denominator can go into the numerator the left over numbers are now your second part of the fraction going with the whole number
Una lancha que viaja a 10 m/s pasa por debajo de un puente 3 segundos después que ha pasado un bote que viaja a 7 m/s, ¿después de cuántos metros la lancha alcanzará al bote?
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.
c=2×3.14r to find the circumference of a circle with a radius of 5 meters
Answer:
C≈31.42
r Radius 5
a number times 10 is equal to 28
Answer:
2.8
Step-by-step explanation:
2.8*10=28
Also, when you multiply 2.8 by 10, you can just move the decimal to the right once, giving you 28.
There are many ways to produce crooked dice. To load a die so that 6 comes up too often and 1 , which is opposite 6 , comes up too seldom, add a bit of lead to the filling of the spot on the 1 face. If a die is loaded so that 6 comes up with probability 0.2 and the probabilities of the 2,3,4 , and 5 faces are not affected, which of the choices is the correct assignment of probabilities to the six faces
Answer:
1 2 3 4 5 6
2 ÷ 15 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 5
Step-by-step explanation:
As it is mentioned in the question that the probability of faces like 2,3,4,5 are not affected so in this case
P(2) = P(3) = P(4) = P(5) = 1 ÷ 6
And, P(6) = 0.2
As we know that
P(1) + P(2) +P(3) +P(4) +P(5) +P(6) = 1
This results P(1) = 2 ÷ 15
So,
1 2 3 4 5 6
2 ÷ 15 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 6 1 ÷ 5
Hence, the correct option is 2nd
A factory manufactures tennis balls. Each tennis ball is stamped with the number 1, 2, 3, or 4. The table shown below lists the percent of tennis balls stamped with each number. What is the probability that a tennis ball selected at random is stamped with an even number? 1/35% 2/30% 3/20% 4/15%
Answer:
Step-by-step explanation:
the answer is .25 because i got it right and it makes alot of sense
Which display makes it easier to find that the interquartile range is 4 songs?
Choose 1 answer:
A
The dot plot
B
The box plot
Answer:
The box plot
Step-by-step explanation:
If 9 (x) = – 5x2 – 4x + 19 find f (–3)
Answer:
- 14
Step-by-step explanation:
[tex]f(x) = - 5 {x}^{2} - 4x + 19 \\ plug \: x = - 3 \\ f( - 3) = - 5 {( - 3)}^{2} - 4( - 3) + 19 \\ f( - 3) = - 5 \times 9 + 12 + 19 \\ f( - 3) = - 45 + 31 \\ f( - 3) = -14[/tex]
If 25% of a number is 30, then what is 40% of the same number?
Divide 30 by 25% to find the full amount:
30/0.25 = 120
Now multiply the full amount by 40%:
120 x 0.40 = 30
How is density calculated given mass and volume? 1.) Mass divided by volume 2.) Mass multiplied by volume 3.) Sum of volume and mass 4.) Difference of volume and mass
Answer:
1) mass divided by volume
Step-by-step explanation:
Answer:
1. Mass Divided By Volume
Step-by-step explanation:
D = M / V
Density is equal to mass. (In any form such as: grams, pounds or another unit)
In segment AC, the midpoint is B. If segments AC = 8 AB = 3x-1 find x.
Answer:
If B is the midpoint, it means
AC=2AB
8= 2(3x-1)
8= 6x-2
8+2= 6x
10= 6x
x= 10/6
x= 1.67
Hope it helps :-)
Which statement is true for the graph of f(x) = 2x2 - 6x2 - 48x + 24?
(Answers attached)
Answer:
min = (4, -136) ; max = (-2,80)
Step-by-step explanation:
The option is B
The (-2, 80) is a relative minimum, (4, -136) relative maximum option (C) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The cubic function:
f(x) = 2x³ - 6x² - 48x + 24
Find f'(x):
f'(x) = 6x² - 12x - 48
Equate f'(x) to zero:
6x² - 12x - 48 = 0
Find the roots of the quadratic equation:
x = -2
x = 4
Find f''(x):
f''(x) = 12x - 12
Plug x = -2
f''(-2) = -24 - 12 = -36 < 0
At x = -2 f(x) is minimum
f(-2) = 80
Plug x = 4
f''(4) = 48 - 12 = 36 > 0
At x = 4 f(x) is maximum
f(4) = -136
Thus, the (-2, 80) is a relative minimum, and (4, -136) relative maximum option (C) is correct.
Learn more about the function here:
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What is the common ratio for the sequence 54, 18, 6, 2, ...? -1/3 -3 1/3 3
Answer:
first term (a) = 54
Second term (b) = 18
common ratio = b/a = 18/54 = 1/3
Answer these questions please please
Answer:
Step-by-step
i) a² - 2ab + b² = (a + b)²
a² = p² ; a = p
b² = 16 = 4² ; b = 4
2ab = 2*p*4 = 8p
p² - 8p + 16 = (p - 4)²
ii) a² + 2ab + b² = (a +b)²
a² = 121x² = (11x)² ; b² = 4y² = (2y)²
2ab = 2 * 11x * 2y = 44xy
121x² + 44xy + 4y² = (11x + 2y)²
1/2x=14
Help please I’ve been stuck on this how do I check it?
the opposite of g(x) is -9(x),
then -g(x) =
Write the point-slope form of the line satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation.
Slope,=6 passing through (-2,8)
Type the point-slope form of the equation of the line.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
Step-by-step explanation:
y - 8 = 6(x + 2)
y - 8 = 6x + 12
y = 6x + 20
What is 72% of 87.5?
6^-2 = PLEASE HELP .....................................................................
Answer:
6^-2 =0.02777777777
Step-by-step explanation:
what is x6y6z2 please asap
Dear student,
I request you to make you question more clear.
thank you,
________ ___________________________________
Porsches mom told her to choose 3 crayons out of a box
-15 - 7= Please help if you know what it is please show work if you can as well? :)
Answer:
-22
Step-by-step explanation:
60 + 8x + 8x + ( 12x - 1) + (2x + 1)
= 540
Find the value of x.
Answer:
x=16
Step-by-step explanation:
I hope this helps you
Order from GREATEST to LEAST. 342,645 432,784 324,792 415,675 434,775
Answer:
792, 784, 775, 675, 645, 434, 432, 415, 342, 324.
Determine whether the underlined numerical value is a parameter or statistics.
The average annual salary of 50 of a company's 800 employees is $54,000.
Answer:
The numeric value is a statistic because the data set of salaries of 50 employees is a sample
Step-by-step explanation:
50 of a company's 800 employees is $54,000.
800 is the population, of all the employees of the company
$54,000 is the value of 50 employees which sample or subset is of 800 employees
6x+3=38-x
help please
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]6x+3=38-x[/tex]
Subtract 3 from both sides:
[tex]6x+3-3=38-x-3[/tex]
[tex]6x=-x+35[/tex]
Add x to both sides:
[tex]6x+x=-x+35+x[/tex]
[tex]7x=35[/tex]
Divide 7 on both sides:
[tex]\frac{7x}{7}=\frac{35}{7}[/tex]
[tex]x=5[/tex]
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27? 5 7 45 63
Answer:
7
Step-by-step explanation:
3x – one-ninthy = 18, when y = 27?
one-ninthy 27 = 3
3x - 3 = 18
3 x 7 = 21
21 - 3 = 18
hope this helps
Answer:
7
Step-by-step explanation:
answered on edge
what is 23.67 times 2.03
23.67 X 2.03 = 48.0501
Hope this helps! :)
Answer:
48.0501
Step-by-step explanation:
The sum of the ages of Caleb and Linda is 55 years. 8 years ago, Caleb's age was 2 times Linda's age. How old is Caleb now?
Answer:
34
Step-by-step explanation:
1. if to guess the Caleb's age is 'x' years and Linda's age is 'y' years now, then
2. according to the 'sum of the ages of Caleb and Linda is 55 years' it may be written: x+y=55 - the first equation of the system;
3. according to the condition '8 years ago, Caleb's age was 2 times Linda's age' it may be written: (x-8)(y-8)=2 - the second equation of the system;
4. if to make up the system of two equation and calculate the values of 'x' and 'y':
5. if x=34, then Caleb is 34 old now.
Find the terminal point on the unit circle determined by pi radians.
Use exact values, not decimal approximations.
The terminal point on the unit circle determined by π radians is (-1, 0).
To find the terminal point on the unit circle determined by π radians, we can use the properties of the unit circle.
The unit circle is a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane. The point on the unit circle determined by an angle θ is given by (cosθ, sinθ).
Since we want to find the terminal point determined by π radians, we can substitute π into the formulas for cosine and sine:
x = cos(π) = -1
y = sin(π) = 0
The terminal point on the unit circle determined by π radians is (-1, 0).
It's important to note that on the unit circle, π radians corresponds to half of the circumference of the circle. In other words, it represents a point on the circle that is diametrically opposite to the point (1, 0) which corresponds to 0 radians.
By understanding the relationship between angles and their corresponding points on the unit circle, we can easily determine the coordinates of terminal points for various angles.
For more such questions on terminal point on the unit circle
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Please help asap need to be done now
Answer:
15.71 is the perimeter.Step-by-step explanation:
Perimeter = Circumference
Step 1. Know and recognize what you have
C = pi*d
pi = 3.142
d = 10
Step 2. Solve for the circumference of whole circle
C = 3.142*10
C = 31.42
Step 3. Solve for the questions answer
C of semicircle = 31.42/2
C of semicircle = 15.71Hope this helped,
Kavitha