I REALLY NEED HELP ON THESE EQUATIONS THE LAST PIC AND THIS ONE PLEASEEE IM IN DANGER OF FAILING
Answers
so, we know the boat is going at a rate of "x", and the current has a rate of "y".
ok... from A to B, the boat is going downstream, the speed of the boat is not really "x", is " x + y ", because, is going with the stream and thus the current is adding "y" to its speed.
now, from B to A, the boat is going upstream, against the current, is not really going "x" fast either, is going " x - y ", because the current is eroding/subtracting from it's speed.
ok... since, since the towns A and B didn't really move, unless they're floating towns, but they're not, so, the distance from A to B is the same distance from B to A, say they're at a distance "d".
[tex]\bf \begin{array}{lccclll} &distance&rate&time\\ &-----&-----&-----\\ downstream&d&x+y&3\\ upstream&d&x-y&3.6 \end{array} \\\\\\ \begin{cases} \boxed{d}=(x+y)3\\ d=(x-y)3.6\\ \boxed{3(x+y)}=3.6(x-y) \end{cases} \\\\\\ 3(x+y)=3.6(x-y)\implies 3x+3y=3.6x-3.6y \\\\\\ 3y+3.6y=3.6x-3x\implies 6.6y=0.6x\implies y=\cfrac{0.6x}{6.6} \\\\\\ y=\cfrac{1}{11}x\implies \textit{y is }\frac{1}{11}x\textit{ or about }9\%\textit{ the speed of \underline{x}}[/tex]
Related Questions
Which of the following is a rational number?
Answers
A line contains points (−2,−2) and (1,4). Find the distance between the line and the point (6,−1).
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[tex]d = \frac{|Ax + By+ C|}{ \sqrt{ A^{2}+ B^{2} } } [/tex]
This is basing on the standard equation of a line in the form of:
Ax + By + C = 0, where A, B and C are coefficients.
These constants are coming from the equation of the line, while the point (x,y) is substituted to the x and y terms of the equation.
However, we must first know the equation of the line. Let us use the slope-intercept form: y = mx + b, where m is the slope which is equal to (y2-y1)/(x2-x1) while b is the y-intercept. For points (−2,−2) and (1,4), the slope is
m = (4--2)/(1--2) = 2
Then, we substitute any of those points to determine b. The answer would be the same either way. Let's use (-2,-2).
-2 = 2(-2) + b
b = 2
Thus, the equation of the line is y = 2x + 2. Rearranging into the standard form, it becomes 2x - y + 2 = 0. Therefore, A=2, B=-1 and C=2. Substituting the values to the equation by replacing x and y with coordinates of point (6,−1),
[tex]d = \frac{|2(6) + (-1)(-1)+ 2|}{ \sqrt{ 2^{2}+ (-1)^{2} } }[/tex]
d = 3√5 or 6.71 units
If Polly walks across the street to buy a cracker and the people who sell them only have one left and there's a long line out the door... will Polly get a cracker? I'm so confused :/ thanks so much for the help!
Answers
Polly walks across the street to buy a cracker (singular)
The sellers of the crackers only have 1 left to sell and there is a long line out the door.
Unless the owners have more frackers readily available to continue to sell, Polly will NOT get a cracker unfortunately.
Hope this helps! :)
A cylinder has a height of 2 meters and a diameter that is 5 times the measure of the height. Using 3.14 for pi, which of the following can be used to calculate the volume?
(3.14)(2m)2(10m)
(3.14)(2m)2(5m)
(3.14)(10m)2(2m)
(3.14)(5m)2(2m)
Answers
2*5=10 m
the radius=10/2=5 m
the volume of the cylinder will be:
V=πr^2h
π=3.14
hence;
v=3.14*(5^2)*(2)
the answer is:
(3.14)(5m)^2(2m)
Hope that helps <3
Four is no less than the quotient of a number x and 2.1
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URGENT
A committee of 3 people is to be randomly selected from a group of 5 women and 8 men. What is the probability that the committee will consist only of women?
A.
5/143
B.
7/143
C.
28/143
D.
30/143
Answers
Answer:
[tex]A. \frac{5}{143}[/tex]
Step-by-step explanation:
Given,
Number of women = 5,
Number of men = 8,
Total persons = 5 + 8 = 13,
∵ Ways of selecting any 3 persons = [tex]^{13}C_3[/tex]
Also, the ways of selecting 3 women = [tex]^5C_3[/tex]
Hence, the probability of selecting 3 women
[tex]=\frac{\text{Ways of selecting any 3 women}}{\text{ Ways of selecting any 3 persons}}[/tex]
[tex]=\frac{^5C_3}{^{13}C_3}[/tex]
[tex]=\frac{\frac{5!}{2!3!}}{\frac{13!}{3!10!}}[/tex]
[tex]=\frac{10}{\frac{13\times 12\times 11}{6}}[/tex]
[tex]=\frac{60}{13\times 12\times 11}[/tex]
[tex]=\frac{5}{143}[/tex]
Hence, OPTION A is correct.
When determining the number of significant figures in a number, zeroes to the left of the decimal point are never counted.
a. True
b. False?
Answers
Zeros are not counted in special cases, these cases are as follows:
1- When the zero is the first digit from the left followed by other digits before the decimal point
Example: 02.5 , 009.3 (zeros are not counted here)
However, in a number as 30.3, the zero is definitely counted
2- When the zero is the last digit on the right after the decimal point
Example: 23.330 , 8.90 (zeros are not counted here)
Based on this, the above mentioned statement is false.
Since zeros are counted before the decimal point when they are not the leftmost digits
counted in : 30.4
not counted in : 03.4
H-79= -83 Solve the equation ?
Answers
Add 78 on both sides
H=-4
Check=
-4-79=-83
-83=-83
So h=-4.
Find the degree of the monomial. 6y2w8
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Two ants race across a table 61 cm long. one travels at 5.13 cm/s and the other at 3.99999 cm/s. when the first one crosses the finish line, how far behind is the second one? answer in units of cm
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Ant 1 : travels at 5.13 cm/s for 61 cm
t = d / s
t = 61 / 5.13
t = 11.89 seconds
Ant 2 : travels at 3.99999 cm/s for 61 cm
t = 61 / 3.99999
t = 15.25 seconds
so Ant B is (15.25 - 11.89) = 3.36 seconds behind Ant A
(1 point) solve the separable differential equation y′(x)=2y(x)+18−−−−−−−−−√, y′(x)=2y(x)+18, and find the particular solution satisfying the initial condition y(5)=9.
Answers
y'(x)=sqrt (2y(x)+18)
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9))
Separating the variables in the equation, we will have:
1/sqrt(y + 9) dy= sqrt(2) dx
Integrating both sides, we will obtain
2sqrt(y+9) = x(sqrt(2)) + c
where c is a constant and can be determined by using the boundary condition given
y(5)=9 : x = 5, y = 9
sqrt(9+9) = 5/sqrt(2) + C
C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
sqrt(y+9) = (2x + 2) / 2sqrt(2)
Squaring both sides, we will obtain,
y + 9 = ((2x+2)^2) / 8
y = ((2x+2)^2) / 8 - 9
If the price of an item is $34 and the sales tax on it is $1.36, what is the sales-tax rate?
Answers
1.36/34 = 0.04
0.04 = 4%
He scatter plot shows the number of pages scanned (y) in different number of hours (x) by a scanning machine: which function best represents the data shown in the scatter plot
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Paul bought 9 total shirts for a total length f $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type shirt did he buy
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x + y = 9....x = 9 - y
10x + 7y = 72
10(9 - y) + 7y = 72
90 - 10y + 7y = 72
-10y + 7y = 72 - 90
-3y = - 18
y = -18/-3
y = 6 <=== 6 long sleeved shirts
x + y = 9
x + 6 = 9
x = 9 - 6
x = 3 <== 3 tee shirts
What is the end point and mid point
Answers
midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
We substitute the points given above to the formula as follows:
midpoint = ((5/3 + 0) / 2, (1 + 2) / 2)
midpoint = 5/6 , 3/2
So, the midpoint is located at point 5/6, 3/2.
Answer:
end point is (-5/3 , 3)
mid-point: (5/6, 3/2)
Step-by-step explanation:
In the triangle below, determine the measure of side a.
Answers
sin 42 = a / 21
a = 21 sin 42 = 14.05
Quintin set a goal to do 15 push-ups each day. By how much would he exceed his goal if he did 17 push-ups in a day?
2
7
19
32
Answers
17-15 =2
he would exceed by 2 a day
Choose the best definition for the following term:substitution
Answers
The rule T1, -4 RO, 180°(x, y) is applied to rectangle KLMN. Which rectangle shows the final image??
Answers
Looking at the visual, we can see five figures: KLM, 1, 2, 3, and 4.
Applying the rule T1, -4 RO, 180°(x, y) to rectangle KLMN - without even solving - just by merely observing, we can say (without a doubt) that the rectangle KLMN will most likely fall in the negative axis.
First rotation: -4 to the left.
Second rotation: -4 to the left.
Last rotation: -4 to the left making the last figure 3. <----- What we are looking for!
Therefore, the rectangle which shows the final image is figure 3 or rectangle 3.
Answer:
Figure 3.
Step-by-step explanation:
We perform the rotation first. A 180° rotation about the origin maps every point
(x, y)→(-x, -y). This means it negates both the x- and y-coordinates.
The pre-image points are:
K(3, -4); L(3, -1); M(5, -1); N(5, -4). Performing the rotation and negating the coordinates will give us:
K'(-3, 4); L'(-3, 1); M'(-5, 1); N'(-5, 4).
Now we perform the translation. The translation rule is <1, -4>; this means we add 1 to each x-coordinate and subtract 4 from each y-coordinate. This maps to our new points:
K''(-2, 0); L''(-2, -3); M''(-4, -3); N''(-4, 0)
These are the points of figure 3.
HELP PLEASE!!!!
The amount of people in the city of Blonton is increasing due to children being born and because people are moving to the area.
~The population is increasing due to births by 13% each year and about 2300 people move to the area in any given year.
~The increase due to people moving to the area is represented by the function M(t) = 2300t.
~The population at any time when taking into account new births is found by P(t) = 375,000(1.013)t where 375000 was the initial population and t stands for the number of years after 1990.
If we added these functions together, what would the sum represent?
Answers
Since there are 27 years it would be 2300*27 which would equal 62,100 people
The new births would be 375,000(1.013)^27 which would equal 531,479 people
Adding 531,479 with 62,100 equals 593,579 people
ten less than twice a number is the same as 7 times the number. find the number
Answers
2n = 7n + 10
-5n = 10
-n = 2
n = -2
// Hope this helped, please give me brainliest, thanks!! //
which choice is equal to the repeating decimal below? 0.6
a) 0.666
b) 6/10
c) 0.66666666
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[tex]6/10 = 0.6 [/tex]
I am confused by the question though. 0.6 is not a repeating decimal. But either way, 6/10 = 0.6
Feel free to ask me more questions on my profile. I am more than happy to help. Don't forget Brainliest! :)
can someone help me, i am very confused, i need to find the volume of the figure put i dont know how
please help me and write steps
Answers
The formula for volume of a pyramid is Bh/3.
Base= 8*8=64
Height= 3 each
64*3/3= 64 mm^3 per pyramid.
64*2=128 mm^3 for the octahedron
Final answer: 128 mm^3
Use basic identities to simplify the expression.
cos θ - cos θ sin2θ
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sin² Ф = 1 - cos² Ф
cos Ф - cos Ф( 1-cos² Ф) = cos Ф - cos Ф - cos³ Ф = cos³ Ф
cos Ф - cos Ф.sin² Ф = cos³ Ф
The solution for the expression will be cos Ф - cos Ф.sin² Ф = cos³ Ф.
What are trigonometric identities?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The given trigonometric expression will be solved as below,
cos Ф - cos Ф.sin² Ф
We know that, sin² Ф = 1 - cos² Ф
E = cos Ф - cos Ф( 1-cos² Ф)
E = cos Ф - cos Ф - cos³ Ф
E = cos³ Ф
Therefore, the expression is cos Ф - cos Ф.sin² Ф = cos³ Ф.
To know more about trigonometric identity follow
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Read the following statement: All real numbers have a reciprocal. Which of the following choices is a counterexample to the statement?
1/4
0
1
-7
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Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
All real numbers have a reciprocal.
But we know that 0 has no inverse, means there is no reciprocal exists for 0.
Because,
[tex]\dfrac{1}{0}=\infty[/tex]
So, 0 is a counter example to the statement.
Hence, Second option is correct.
I Need Help ASAP! This is Due in 30 Minutes!
I don't Understand it at all and I need Help
Create a factorable polynomial with a GCF of 7. Rewrite that polynomial in two other equivalent forms. Explain how each form was created.
Answers
Just start with a simple expression with 7 as a factor, and then multiply it out.
For example:
7(x+1)(x+2)
Here 7 could be the GCF.
Now multiply it out:
7(x^2+3x+2) =
7x^2+21x+14
So our factorable polynomial is 7x^2+21x+14
And its two equivalent forms are:
7(x^2+3x+2)
and
7(x+1)(x+2)
Assume that a researcher randomly selects 14 newborn babies and counts the number of girlsâ selected, x. the probabilities corresponding to the 14 possible values of x are summarized in the given table. find the probability of selecting 9 or more girls.
Answers
P = nCr p^r q^n-r
where
n is number of total events (n = 14)
r is the number of events that could happen (9, 10, 11, 12 ,13 and 14)
p is the probability of an event being a girl (p = 50% or 0.5)
q is the probability of either an event being a boy (q = 1-p = 0.5)
nCr is a combination formula which is n!/(r!(n-r)!)
P = [14C9* (.5)^9 * (0.5)^5]+ [14C10* (.5)^10 * (0.5)^4]+[14C11* (.5)^11 * (0.5)^3]+[14C12* (.5)^12 * (0.5)^2]+[14C13* (.5)^13 * (0.5)^1]+[14C14* (.5)^14 * (0.5)^0]
P = 0.211 or 21.1%
To find the probability of selecting 9 or more girls out of 14 newborn babies, sum the probabilities for selecting 9 to 14 girls from the given table.
Explanation:To find the probability of selecting 9 or more girls out of 14 babies, we need to calculate the sum of the probabilities of selecting 9, 10, 11, 12, 13, and 14 girls. Refer to the given table that summarizes the probabilities for each value of x. Add the probabilities for these values to get the probability of selecting 9 or more girls.
Learn more about Probability here:https://brainly.com/question/32117953
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Labor rate = $7.50 per hour Labor time = 6.5 hours Retail price of parts = $0 Total job cost = $82.00 Overhead rate?
Answers
Retail price of parts+labor cost+manufacturing overhead
Total cost job 82
Retail price of parts 0
Labor cost=7.5×6.5=48.75
Manufacturing overhead ?
82=0+48.75+?
?=82−48.75
?=33.25
Manufacturing overhead is 33.25
Now find manufacturing overhead rate from the cost of labor
33.25÷48.75=0.682×100=68.2%
The answer 68.2%
What is the solution of the equation e^xe^2x = 4? Round your answer to the nearest hundredth.
Answers
[e^x] [e^(2x)] = 4
1) Applying property of multiplication of powers wiith same base =>
e ^ (x + 2x) = 4
=> e ^ (3x) = 4
2) Applying logarigth properties
3x = ln(4)
=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621
Answer: x = ln(4) / 3 ≈ 0.4621
An activity book has 21 pages of crossword puzzles, 18 pages of cryptograms, and 12 pages of mazes. bianca randomly selects a page, completes the activity, and then randomly selects another page to complete. what is the probability that bianca first completes a maze and then completes a crossword puzzle?
Answers
P(maze) : 12/51...reduces to 4/17
P(crossword) 21/50
P(both) : 4/17 * 21/50 = 84/850 = 42/425 <=
Final answer:
The probability that Bianca first completes a maze and then completes a crossword puzzle is approximately 9.8%.
Explanation:
To find the probability that Bianca first completes a maze and then completes a crossword puzzle, we need to calculate the probability of each event occurring and then multiply them together.
The total number of pages in the activity book is 21 + 18 + 12 = 51 pages.
The probability of selecting a maze page first is 12/51, and after completing the maze page, there are now 50 pages remaining in the book, 21 of which are crossword puzzles.
So, the probability of selecting a crossword puzzle page after completing a maze page is 21/50.
To find the probability of both events happening, we multiply the probabilities: (12/51) * (21/50) = 0.098 or 9.8%.