Answer:
Y= (-27)
Step-by-step explanation:
Well, I am assuming your just looking for Y. So what I did was you'd want to get rid of the fraction first. I multiplied 3 to all the numbers. so -12(3) = 6(3) + 2y since the bottom 3 from the fraction cancelled out with the (3). so now it would be -36=18+2y. -54/2=2y/2 which leads to -27. So I think Y= -27.
75% of the students in chemistry have had algebra. If there are 300 students in chemistry, how many of them have not had algebra?
Answer:
75/100 x 300 = 225
300 - 225 = 75 students
Hi please help me!!!!!!
The slope and y-intercept of the line are -3 and -6 respectively.
How to find the slope and y-intercept of a line?The graph is a linear function.
The graph can be represented in a slope intercept form as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore, using (1, -9)(-4, 6)
m = 6 - (-9) / -4 - 1
m = 6 + 9 / -5
m = 15 / -5
m = -3
Therefore,
slope = -3
Let's find the y-intercept as follows;
(1, -9)
y = -3x + b
-9 = -3(1) + b
b = -9 + 3
b = -6
Therefore, the slope and y-intercept of the line are -3 and -6 respectively.
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if x = 54 and y = 126, calculate the value of x / √y in its simplest form
Answer:
18/root(14)
Step-by-step explanation:
x=54
y=126
x/root(y)
54/root(126)
54/root(3x3x14)
54/3(root(14))
18/root(14)
Mark earns $180 per week plus $12 per hour, x. How many hours must he work to have a weekly income of at least $720?
Answer:
45 hours
Step-by-step explanation:
720-180 = 540
540 divided by 12 is 45
Mikaila collected 27 pounds of glass bottles to bring to the recycling center.
She also collected 400 ounces of newspapers and 160 ounces of aluminum cans.
What is the total weight of the items Mikaila brought to the recycling center?
Write your answer in ounces.
ounces
Answer:
992
Step-by-step explanation:
1 pound equals 16 ounce
So, 27x16=432
432+400+160=992
Help please ASAP
Give brainiest if correct.
What do I have to do?
The points in the table lie on a line. What is the slope?
The slope is 1/2, I explain in the other question
Kodiak is riding her skateboard
down a hill.
What is the slope?
Please help asap
Answer:
Slope = 1/20
Step-by-step explanation:
Because every 1 second, she goes down 20 feet.
Answer:the answer is the pic
Step-by-step explanation:
hope this helps bye
A factory produced 150 tons of steel in one year. The next year, the output increased to 180 tons. What is the percentage increase in the output?
A.
17%
B.
20%
C.
30%
D.
50%
E.
75%
Answer:
It would be 17%
Step-by-step explanation:
Answer:
B: 20%
Step-by-step explanation:
Need Help ASAP I cant solve this I think the answer might be 14x-35 but im not sure and i have to solve by combining like terms
In the attached diagram the perimeter of the hall way is
17x - 34How to find the perimeter of the hallwayThe perimeter of the hall way is calculated by adding all the sides of the hallway
The perimeter of the hall way = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4
adding like terms results to
The perimeter of the hall way = 17x + (-34)
Finally, the simplified expression is:
17x - 34
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the sum of the digits of a two digit number bis 14 if 36 is subracted from the number the place of the digits are reversed find the number
Find the value of 9y +2 given that 2y - 2 =2
Step-by-step explanation:
2y-2=2
y=2
9y+2
=9(2)+2
=20
If a cone has the same diameter and height as a cylinder, how many cones filled with water can the cylinder hold?
1
2
3
4
5
Answer:
3
Step-by-step explanation:
Eliminate the x term
The solution to the system of equations is x = -1, y = 2.
What is a linear equation?A linear equation is a first-order (linear) term and a constant in an algebraic equation of the type y=mx+b, where m is the slope and b is the y-intercept. The previous equation, which has the variables y and x, is sometimes referred to as a "linear equation of two variables."
What characterizes a linear equation?The adjective "linear" comes from the fact that the collection of solutions to such an equation forms a straight line in the plane.
These are the three types of linear equations:
Slope Intercept Form Standard Form Point Slope FormHow do we eliminate variables?By multiplying each equation by an appropriate constant, we may use the method of elimination to make the coefficients of x in both equations equal in size but opposite in sign. The following results from multiplying the first equation by 3 and the second equation by -2 in this situation:
a. 6x + 12y = 18
b. -6x - 10y = -14
To get rid of x, we can now combine these two equations:
a. 6x + 12y = 18
b. (-6x - 10y = -14)
2y = 4
By finding y, we obtain:
y = 2
We can find x by adding this value of y back into either of the initial equations:
2x + 4y = 6
2x + 4(2) = 6
2x + 8 = 6
2x = -2 x ⇒ -1
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the solution to the system of equations 2x+4y=6 and 3x+5y=7, after eliminating the x term, is x = -1 and y = 2.
The x term, we can multiply the first equation by -3 and the second equation by 2, so that the x term will have opposite coefficients and will cancel out when we add the two equations together.
\(-3(2x+4y=6) gives -6x - 12y = -18\)
\(2(3x+5y=7) gives 6x + 10y = 14\)
Adding these two equations gives:
\(-6x - 12y = -18\)
\(+6x + 10y = 14\)
\(-2y = -4\)
Solving for y, we get:
\(y = 2\)
Substituting this value of y back into either of the original equations, we can solve for x:
\(2x + 4y = 6\)
\(2x + 8 = 6\)
\(2x = -2\)
\(x = -1\)
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❗CORRECT ANSWER+EXPLANATION=100POINTS+BRAIBLIEST
work out:
\(3 \sqrt{12} + \sqrt{75} \)
thanks)
Answer:
Step-by-step explanation:
Factorize 12 and 75
12 = 2 * 2* 3
75 = 3 * 5 * 5
\(3\sqrt{12} + \sqrt{75}=3*\sqrt{2*2*3}+\sqrt{5*5*3}\\\\=3*2\sqrt{3}+5\sqrt{3}\\\\=6\sqrt{3}+5\sqrt{3}\\\\=(6+5)\sqrt{3}\\\\=11\sqrt{3}\)
Suppose a coin is tossed n times. If P(H) = p (P(T) = 1-p) is the probability that we get
heads, what is the probability that I observe an even number of H’s (heads) when n coins
are tossed.
Hint: Let B(n) the probability of the event that an even number of heads are observed, when
n coins are tossed. This probability is the probability that the last coin is a tail times the
probability of the event that an even number of heads are observed on the previous n-1 coins,
plus, the probability that the last coin is a head times the probability of the event that we
observe an odd number of heads on the previous n-1 coins.
Thus B(0) = 1, B(1) =1-p,
a) Write the probability of the event B(n) as a recursive equation in terms of B(n-1).
b) Write a recursive algorithm to calculate B(n) for arbitrary n and p and give the worst-
case scenario.
c) Write a Dynamic Programming algorithm to calculate B(n) for arbitrary n and p and
determine the worst-case.
d) Is the DP approach better? Please explain.
The probability of the event B(n) as a recursive equation in terms of B(n-1) is:
$$B(n) = (1 - p)B(n - 1) + p(1 - B(n - 1))$$b)
Recursive Algorithm to calculate B(n) for arbitrary n and p:```
Function getProbabilty(n, p)
if n == 0 then
return 1
else if n == 1 then
return (1 - p)
else
return (1 - p)*get Probability (n - 1, p) + p*(1 - getProbability(n - 1, p))
end if
End Function
```
The worst-case scenario is O(2^n).c) Dynamic Programming Algorithm to calculate B(n) for arbitrary n and p:```
Function getProbabilityDP(n, p)
B[0] = 1
B[1] = 1 - p
for i = 2 to n do
B[i] = (1 - p)*B[i - 1] + p*(1 - B[i - 1])
end for
return B[n]
End Function
```
The worst-case scenario is O(n).d) Yes, the DP approach is better than the recursive approach. The recursive approach has a worst-case time complexity of O(2^n), which is exponential and inefficient for large values of n. The DP approach, on the other hand, has a worst-case time complexity of O(n), which is linear and much more efficient.
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Simplify your answers as much as possible.
Answer:
f(x) = -2x\(3\) - 3, gx= 4x - 3
Step-by-step explanation:
Find the slope x +3y=-1
Answer:
well fist we need to change this into slope intercept form
which is y=mx+b
now am going to change the equation given when "1" is the y value "x" is the x value and "3" is the slope:
x+3y= -1
when is solve this, will get
y=-1 -x /3
y= -1/3x -1/3
so as a result, the slope is -1/3
plz mark brainliest :)
The shadow cast by an object on a sunny day is directly proportional to the height of the object. If a person 82 inches tall casts a shadow 57 inches long, how tall is a tree which casts
shadow 31 feet in length? Round to the nearest hundredth if necessary
A. 150.77 feet
B. 44.6 feet
C. 69.5 feet
D. 21.55 feet
Answer:
B. 44.6 feet
Step-by-step explanation:
To find the height of the tree, create a proportion where x is its height:
\(\frac{82}{57}\) = \(\frac{x}{31}\)
Cross multiply and solve for x:
57x = 2542
x = 44.6
So, the tree is B, 44.6 feet
Answer:
Given :-Height of person = 82 inchesShadow of person = 57 inchesShadow of another person = 31 ftTo Find :-Height of person
Solution :-We may notice that they are in proportion
So,
Let the length be x
82/57 = x/31
57 × x = 82 × 31
57x = 2542
x = 2542/57
x = 44.6 ft
\( \\ \)
What will be the remainder if x³ 2x² X 1 is divided by x 1?.
After solving, the reaminder is 1 if x^3-2x^2+X+1 is divided by x-1.
In the given question we have to find the remainder if x^3-2x^2+X+1 is divided by x-1.
The given equation is x^3-2x^2+X+1.
We have to divide this equation by x-1 to find the remainder.
To find the remainder we firstly find the value of x from x-1. Then we put the value of x in the given equation then we can easily find the remainder.
Putting the x-1 equla to zero, so
x=1
Now putting the value of x in the given equation.
=x^3-2x^2+X+1
=(1)^3-2(1)^2+1+1
=1-2+1+1
=1
Hence, the remainder is 1 if x^3-2x^2+X+1 is divided by x-1.
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The vera family is traveling from Philadelphia to Orlando for vacation the equation Y equals 1000-65X represents the distance in miles remaining in the trip after X hours interpret the slope and the Y intercept
As per the following graph, the slope is 66.67 and the y intercept is 1000.
Graph:
The graph is used to present data that are too numerous or complicated to be described adequately in the text and in less space.
Given,
The Vera family is traveling from Philadelphia to Orlando for vacation the equation Y = 1000-65X represents the distance in miles.
Here we need to find the slope and the y intercept.
For the given equation, we have to plot the graph to identify the y intercept.
If we plot the given equation then we get the following graph.
Through the graph we have identified that, the value of y intercept is 1000.
Then the next thing we have to do is to find the slope of the lien for that we have to take the two sample point from the graph.
They are,
(0,1000) and (6,600)
Then the slope of the line is calculated through the formula,
m = (600 - 1000)/6 - 0
m = -400/6
m = 66.67
Therefore, the slope of the line is 66.67.
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On this simple system of roads how many ways are there to get from a to b without visiting any of the 9 intersections more than once
To find the number of ways to get from point A to point B on a system of roads without visiting any of the 9 intersections more than once, we can use the concept of permutations.
Let's assume that there are n intersections between points A and B. In this case, there are (n+1) possible locations where you can start, including A and the n intersections. To calculate the number of ways, we can start at any of these (n+1) locations and then choose a different intersection at each step until we reach point B. At the first intersection, we have n options to choose from. At the second intersection, we have (n-1) options, and so on, until we reach the last intersection before point B, where we have 1 option remaining.
To find the total number of ways, we can multiply the number of options at each step Total number of ways = n * (n-1) * (n-2) * ... * 1 = n! For example, if there are 9 intersections between A and B, there are 10 possible locations to start. The total number of ways would be 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362,880 ways to get from A to B without visiting any of the intersections more than once. In summary, the number of ways to get from A to B without visiting any of the 9 intersections more than once is 362,880.
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The question relates to Eulerian Path in graph theory that visits every edge (or intersection) exactly once in a network (or road system). A definitive answer depends on the layout and connections between intersections.
Explanation:The number of ways to get from point A to point B without visiting any of the 9 intersections more than once is a problem related to graph theory in Mathematics. Graph theory studies paths, routes, and networks, and has a broad range of applications from road design to computer network architecture.
The problem you're asking about is often referred to as the Eulerian Path problem, named after the mathematician Leonhard Euler. An Eulerian Path is a path in a graph (or city road network) that visits every edge (or intersection) exactly once.
However, to give a definite answer, one would need a clearer picture of the situation, that is, how the intersections are laid out and connected. If all intersections are connected in such a way that you can form a continuous path without any isolation, then multiple solutions may exist.
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a line has y-intercept 0 and a slope -1/3 what is its equation in slope intercept form
Answer:
y=-1/3x
Step-by-step explanation:
We use the linear equation of y=mx+c
Y=c
We know that y=0 and that m=-1/3, therefore we plug it in the formula.
y=-1/3x+0
y=-1/3x
Answer:
X + 3y = 0
Step-by-step explanation:
Given
y-intercept (b) = 0
Slope (m) = - ⅓
Now w
Equation in slope intercept form
y = mx + b
y = - ⅓x + 0
3y = - x
X + 3y = 0
A. What is 0.47 expressed as a fraction in simplest form?
B. What is 0.-47 expressed as a fraction in simplest form?
C. What is 0.--47 expressed as a fraction in simplest form?
Please show your work for each part.
25 points! and Brainliest!
Answer:
See below ~
Step-by-step explanation:
Converting a decimal to a fraction :
Multiply by 100/100 and keep in the form without divisionA. (0.47)
0.47 x 100/10047/100B. (-0.47)
-0.47 x 100/100-47/100C. (0.--47)
A minus sign multiplied by another minus sign makes a positive sign0.--47 ⇒ 0.4747/100Answer:
Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100
Step-by-step explanation:
Step 1: Determine 0.47 as a fraction
0.47 can also be expressed as 47% which means that there is 47/100. We can see that there is no way that we can simplify the fraction even more so that is our final answer.
Step 2: Determine -0.47 as a fraction
0.47 can also be expressed as -47/100. We can see that there is no way that we can simplify the fraction even more so that is our final answer.
Step 3: Determine --0.47 as a fraction
Two negatives (-), means that they cancel out and cause a positive (+). For example, -1 * -1 gives us 1. Therefore it would just be like the first one which is 47/100.
Answer: Part (a) = 47/100, Part (b) = -47/100, Part (c) = 47/100
Oil spilled from a ruptured tanker spreads in a circle whose area increases at a constant rate of 8.5 mi^2/hr. How rapidly is radius of the spill increasing when the area is 7 mi^2?
To find the rate at which the radius of the oil spill is increasing when the area is 7 mi^2, dr/dt ≈ 0.203 mi/hr the area of the spill is 7 mi^2, dr/dt ≈ 0.203 mi/hr the radius is increasing at a rate of 0.203 mi/hr.
Where A is area and r is the radius. Taking the derivative of both sides with respect to time, we can express the rate of change of the area as dA/dt = 2πr(dr/dt). Given that dA/dt is constant at 8.5 mi^2/hr, we can substitute the values to find the rate at which the radius is increasing.
We have the equation dA/dt = 2πr(dr/dt), where dA/dt represents the rate of change of the area, r is the radius, and dr/dt is the rate at which the radius is changing. We are given that dA/dt is constant at 8.5 mi^2/hr. When the area is 7 mi^2, we can substitute these values into the equation: 8.5 = 2π(7)(dr/dt)
Simplifying the equation, we can solve for dr/dt: dr/dt = 8.5 / (2π(7)) Evaluating the expression, we find: dr/dt ≈ 0.203 mi/hr
Therefore, when the area of the spill is 7 mi^2, the radius is increasing at a rate of approximately 0.203 mi/hr.
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what is the square rooy of 64 times 8 divided by 5?
rate pls
Answer:
12.8
Step-by-step explanation:
64's square root is 8,
8*8 is 64,
64/5=12.8
For the given probability density function, over the stated interval, find the requested value. 1 f(x) = x, over the interval [0,5]. Find E (x²). ... O A. 625 32 313 B. 16 623 32 39 2
The given probability density function, over the stated interval, The correct option is: A. 625/32
To find the expected value of x², denoted as E(x²), we need to calculate the integral of x² multiplied by the probability density function (PDF) over the given interval [0, 5].
The probability density function (PDF) is defined as f(x) = x for x in the interval [0, 5].
The formula for calculating the expected value (E) is as follows:
E(x²) = ∫[a, b] x² × f(x) dx,
where [a, b] represents the interval [0, 5].
Substituting the given PDF f(x) = x, we have:
E(x²) = ∫[0, 5] x² × x dx.
Now, let's solve this integral:
E(x²) = ∫[0, 5] x³ dx.
Integrating x³ with respect to x gives:
E(x²) = (1/4) × x⁴| [0, 5]
= (1/4) × (5⁴ - 0⁴)
= (1/4) × 625
= 625/4.
Therefore, the value of E(x²) is 625/4.
In the provided options, this value is represented as:
A. 625/32
B. 16 623/32
The correct option is:
A. 625/32
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You mix a 50% acid solution with a 90% acid solution to get 20 liters of 60%
acid solution. How many liters of 50% and 90% solution do you need to
use?
60 liters of 50% and 20 liters of 90% solution should be used.
How to find out how many liters are needed?By mixture and allegation
90 50
60
10 30
10:30 = 1:3
We must mix the acid solution in a 1:3 ratio.
For 1 liter of 60% acid solution, we must use 1l 90% acid solution and 3l 50% acid solutions.
Then for 20 l of 60% acid solution, 1*20 = 20 l of 90% acid solution and 3 * 20 = 60 l of 50% acid solution should be used.
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please someone help me
The length of side BC is approximately 8.72 km.
To find the length of side BC using the cosine rule, we can use the following formula:
BC² = AB² + AC² - 2 AB AC Cos(A)
where BC represents the length of side BC, AB represents the length of side AB, AC represents the length of side AC, and A represents the angle opposite to side BC.
Plugging in the given values:
BC² = (25.3 km)² + (16.7 km)² - 2 (25.3 km) (16.7 km) Cos(68.5°)
BC² = 640.09 km² + 278.89 km² - 2 × 25.3 km × 16.7 km × cos(68.5°)
BC² = 919.98 km² - 843.91 km²
BC² = 76.07 km²
Taking the square root of both sides:
BC = √76.07 km
BC ≈ 8.72 km
Therefore, the length of side BC is approximately 8.72 km.
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SOMEONE HELP ASAP PLS ILL GIVE BRAINIEST
Answer:
its c
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
The graph shows the height of a plant y, measured in inches, after x weeks. Which linear function relates y to
x?
A linear function that relates y to x include the following: B. y = 1/2(x)
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the height.x represents the number of weeks.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 1/2
Therefore, the required linear function is given by;
y = kx
y = 1/2(x)
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