Answer:
let the number be 8x and 9x
5x+9 = 8
8x+9 11
55x+99=64x + 72
64x-55x= 99-72
9x=27
x=3
so the required numbers are
5x+9=5*3+9=24
8x+9= 33
Answer:
15 and 24
Step-by-step explanation:
the ratio of the 2 numbers = 5 : 8 = 5x : 8x ( x is a multiplier ), then
5x + 9 : 8x + 9 = 8 : 11
Expressing the rations in fractional form
\(\frac{5x + 9}{8x + 9}\) = \(\frac{8}{11}\) ( cross- multiply )
8(8x + 9) = 11(5x + 9) ← distribute parenthesis on both sides
64x + 72 = 55x + 99 ( subtract 55x from both sides )
9x + 72 = 99 ( subtract 72 from both sides )
9x = 27 ( divide both sides by 9 )
x = 3
Thus the 2 numbers are
5x = 5 × 3 = 15
8x = 8 × 3 = 24
What is the Square root of 21353641 by division method?
Answer:
that's how you it first divide by 4 then by 6 then by 2 then 1
The square root of 21353641 by the division method is approximately 4621.
What is the Square rootTo find the square root of 21353641:
Group the number into pairs from right to left: 21, 35, 36, and 41.Find the largest digit 'x' such that 'x' multiplied by twice the divisor gives a product less than or equal to 2135. In this case, 'x' is 4.Set the divisor as twice the current quotient plus 'x.' In this case, the divisor is 84.Repeat the process by bringing down the next pair of digits and finding the new quotient. The process continues until all pairs are exhausted.The final quotient obtained through the division method is approximately 4821.Learn more about Square root from
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A measure of association reflects the strength of a relationship and often the __________ of the relationship.
o determination
o stability
o direction
o definition
The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write and solve an equation to
find the cost of 4 lessons.
The total cost of the 4 lessons will be 52.
What is an Equations?Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
y = mx + b
slope(m) = 10
(7,82)...x = 7 and y = 82
now we sub and solve for b, the y int
82 = 10(7) + b
82 = 70 + b
82 - 70 = b
12 = b
so the equation is : y = 10x + 12
when x = 4
y = 10(4) + 12
y = 40 + 12
y = 52
Hence, The total cost of the 4 lessons will be 52.
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purchased a DVD player on sale. The original selling price was $175.90. The sale price was $149.62 . What is the first step in finding the percent markdown? Find the percent markdown.
The percent markdown decreases by 15%.
What is the selling price?
The cost a consumer pays to purchase a good or a commodity is known as the selling price. It is a price that is higher than the cost price and also includes a portion of the profit. The cost price is the amount paid by the seller for the good or service. Then he increases it by a proportion of gains or profits.
Here, we have
Given: Van purchased a DVD player on sale. The original selling price was $175.80. The sale price was $149.42.
In order to find this, use the percent change equation.
(New - Old)/(Old) * 100 = % Change
Now input 149.42 for the New price and 175.80 for the Old price.
(149.42 - 175.80)/(175.80) * 100 = % Change
-26.38/175.80 * 100 = % Change
-.15 * 100 = % Change
-15 = % Change
Hence, the percent markdown decreases by 15%.
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every 2 weeks i get paid starting september 23 when is my next pay day
Answer: October 7
Step-by-step explanation:
CAN SOMEONE HELP MEEEEEEEEEE
Answer:
\(c = \sqrt{146} \\ x = 48°\)
Answer the following question in 3-4 complete sentences. Name the two rivers that run through the fertile crescent. How were the rivers both positive and negative to societies of the fertile crescent?.
The two number of rivers that run through the Fertile Crescent are the Tigris and the Euphrates.
These rivers were positive for societies in the Fertile Crescent because they provided a reliable number of source of water for irrigation and drinking, and their associated river basins provided a variety of resources including fish, plants, and minerals. However, the rivers were also negative for societies in the Fertile Crescent because they could be unpredictable and cause flooding and erosion, which could destroy homes and crops.
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Answer:
The two rivers that run through the Fertile Crescent are the Euphrates and the Tigris. The rivers are the reason that the region is referred to as “fertile”. A fertile region is an area that produces healthy, sustaining vegetation. The negative aspect of the rivers was that flooding was common. Flooding could wipe out an entire years crop.
Step-by-step explanation:
pictures below
Find the sampled time domain from the following functions (a) \( F(z)=1+3 z^{-1}+4 z^{-2} \)
In the given question function given is \(F(z)=1+3z^{-1} +4z^{-2}\) and by performing Z transform we get sampled time domain as f(n)=1 for all values of n
In the given question function given is \(F(z)=1+3z^{-1} +4z^{-2}\) and by performing Z transform we get sampled time domain as f(n)=1 for all values of n
In the given question function given is \(F(z)=1+3z^{-1} +4z^{-2}\) and by performing Z transform we get sampled time domain as f(n)=1 for all values of n we need to perform the inverse Z-transform. The inverse Z-transform converts a function in the Z-domain back into the time domain.
The general form of the inverse Z-transform is given by:
f(n)= \(\frac{1}{2\pi j}\) ∮ \(_{C}\) \(F(z)z^{n-1} dz\)
where
F(z) is the function in the Z-domain, f(n) is the corresponding time-domain sequence, j is the imaginary unit, and ∮\(_{c}\)
represents integration around a closed path in the Z-plane.
In this case, the function F(z) is a rational function, and we can find its inverse Z -transform using partial fraction decomposition. Let's find the inverse Z-transform step by step:
Step 1: Express F(z) in partial fraction form.
\(F(z)=\frac{1}{z^2} + \frac{3}{z} +4\)
Step 2: Find the roots of the denominator The roots of \(z^{2} =0\) and
z=0 (a double pole at the origin).
Step 3: Perform partial fraction decomposition.
We can write \(F(z)=\frac{A}{z} +\frac{B}{z^2} \)
Multiplying through by \(z^{2}\) to clear the fractions we get,\(1+3z^{-1} +4z^{-2} = A+Bz^{-1}\) Comparing coefficients, we get:
A=1
B=4
Step4: Apply the inverse Z transform for each term
Inverse Z transform for A/z is \(a^{n}\), where a is the root of corresponding term in the denominator. In this case a=0, so the inverse Z transform of A/z=1
The inverse Z transform of \(\frac{B}{z^2}\) is n.\(a^{n}\), where a is the root of the corresponding term in denominator. In this case a=0. So the inverse Z transform of \(\frac{B}{z^2}\) is n.\(a^{n}\)=0
therefore the time domain of function f(z) is
f(n)=1+0=1
So the sampled time domain representation of the function F(z)=\(1+3z^{-1} +4z^{-2}\) is f(n)=1 for all the values of n
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Please help :( can you explain and write the answer
Answer:
f(x)=x-2
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),x|x ∈R}(-∞,∞),{x|x ∈R}
Range: (−∞,∞),{y|y∈R}
g(x)=x^2-3x+2
Domain: (−∞,∞),{x|x ∈R}(-∞,∞),{x|x ∈R}
Range: [−1/4,∞),{y∣y≥−1/4}
find the value of x (to the nearest tenth).
Help y’all
Answer:
8.6
Step-by-step explanation:
You simply do Tangent.
TOA (Tangent = Opposite over Adjacent)
tan(32) = x/13
Multiply 13 to each side
13(tan(32)) = x
8.5930785... = x
8.6 = x
how would i simplify 1/2 (8x+2)
Answer:
4x + 1
Step-by-step explanation:
by using the distributive property (images)
so it would be 1/2*8x + 1/2*2
\(\frac{1}{2}(8x+2) = 0\\\\8x+2 = -\frac{1}{2}\\\\8x = -\frac{1}{2} -2\\\\8x = \frac{-2-2}{2} \\\\8x = -2\\\\x = \frac{-2}{8}\\\\x = -4\)
Hope it help youAsher has a better probability of winning than Eitan has. Which could be the outcome that Asher needs to win the game? Check all that apply.
rolling a sum of 4
rolling a sum of 9
rolling a sum that is less than 5
rolling a sum that is greater than 5 but less than 7
rolling a sum that is greater than 9 but less than 11
rolling a sum that is greater than 2 but less than 4
Probability which helps Asher to win the the game than Eitan , the possible outcomes should be option c. rolling a sum of dice less than 5.
As given in the question,
Possible outcomes after rolling two dice are:
={( 1,1), (1,2), ....(1,6),(2,1),....(2,6),(3,1),.....(3,6), (4,1),.....(4,6), (5,1) , .....(5,6), (6,1) ,...(6,6)}
Probability for each optional outcome is given by :
Total number of outcomes = 36
a. Rolling a sum of dice to 4
Number of favourable outcomes = 4
Probability = 4/36
= 1/9
b. Rolling sum of dice to 9
Number of favourable outcomes = 4
Probability = 4/36
= 1/9
c. Rolling sum of dice that is less than 5
Number of favourable outcomes = 6
Probability = 6/36
= 1/6
d. Rolling a sum greater than 5 less than 7
Number of favourable outcomes = 5
Probability = 5/36
e. Rolling a sum greater than 9 less than 11
Number of favourable outcomes = 3
Probability = 3/36
= 1/12
f. Rolling a sum greater than 2 less than 4
Number of favourable outcomes = 2
Probability = 2/36
= 1/18
Therefore, probability which helps Asher to win the game is given by Option C. rolling a sum of dice less than 5.
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Answer:
The answer is B,C,D
Step-by-step explanation:
trust me im him
What is x and y if -4x+y=11
Answer:
See the expression below
Step-by-step explanation:
Given data
We have the expression
-4x+y=11-----------1
from 1 make y subject of formula we have
y=100+4x
Make x subject of the formula we have
-4x=11-y
divide both sides by -4
x=(11-y)/-4
-2(2+8n)=92 CAN YOU PLEASE HELP ME FIND THAT MATH PROBLEM
Answer:
hello
Step-by-step explanation:
-2(2+8n)=92 CAN YOU PLEASE HELP ME FIND THAT MATH PROBLEM
If X is correlated with Y, what must be true about X and Y? Explain your reasoning. a. A corelation exists between two variables when both variables increase together b. Increasing values of X go with either increasing or decreasing values of Y. A comelation exists between two variables when both variables increase or decrease together c. Increasing values of X go with either increasing or deoreasing values of Y. A correlation exiss between X and Y when higher values of X consistently go with higher values of Y or when higher values of X consistently go with lower values of Y d. X causes Y. If Y decreases as X increases, then X must cause Y to change. e. Increasing values of X go with increasing values of Y. A correlation exists between two variables when both viariables decrease togetherf. X causes Y. If Y increases as X increases, then X must cause Y to change-
Answer:
it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.
Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.
Step-by-step explanation:
a is wrong because it only describes positive correlation, not negative correlation.
c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.
d and f are wrong because they assume causation from correlation, which is a logical fallacy.
e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.
If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.
Explanation:If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.
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a rocket is fired from the gorund at a n angle of 1.02 radians. suppose the rocket has rtraveled 435 yards since it was launched. Draw a diagram and label the values that you know. a) How many yard has rocket travelled horizontally from where it was launched?
b) What is the rocket's height above the ground
A rocket is launched from the ground at an angle of 1.02 radians and has traveled 435 yards. The task is to determine the horizontal distance traveled by the rocket and its height above the ground.
The diagram of the situation can be drawn using the given information. The angle of launch can be labeled as 1.02 radians, and the horizontal distance traveled can be labeled as 435 yards. We need to determine the horizontal and vertical components of the rocket's displacement.
The horizontal displacement is the distance traveled by the rocket parallel to the ground, and it can be determined using the formula:
Horizontal displacement = Distance traveled x cos(angle of launch)
Substituting the given values, we get:
Horizontal displacement = 435 x\(cos(1.02)\) = 435 x 0.454 = 197.49 yards (rounded to two decimal places)
The vertical displacement is the change in the height of the rocket from the ground. It can be determined using the formula:
Vertical displacement = Distance traveled x sin(angle of launch)
Substituting the given values, we get:
Vertical displacement = 435 x sin(1.02) = 435 x 0.891 = 388.19 yards (rounded to two decimal places)
Therefore, the rocket has traveled 197.49 yards horizontally from where it was launched, and its height above the ground is 388.19 yards.
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The scale factor of the scale model of a desk to the actual desk is represented by the ratio 1:16. If the dimensions of the model desk are 2 inches wide by 3.75 inches long what is the actual area of the top of the desk?
if we increase the objective function coefficient of both x and y, by $1, would the optimal solution change? explain your answer using the sensitivity report.
Yes, increasing the objective function coefficient of both x and y by 1 would change the optimal solution.
In a sensitivity report, the objective function coefficients are represented by the "Objective Coefficients" row in the "Variable Cells" section. When you increase the objective function coefficient of a variable, it means that you place more importance or weight on that variable in the optimization problem. This can affect the optimal solution because it changes the relative importance of the variables and the trade-offs that the optimization algorithm needs to make in order to find the optimal solution.
For example, if you increase the objective function coefficient of both x and y, the optimization algorithm may prioritize increasing the values of x and y more in order to maximize or minimize the objective function. This could result in a different optimal solution compared to the original problem where the objective function coefficients were lower.
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What is the surface area of the shape?
i have a photo can someone solve it
Answer:
I think the answer is B.6.4ft
Step-by-step explanation:
Can someone help with this, please?
Answer:
no. will be 12 and 30--------------------------------------------
one thousand independent rolls of a fair die will be made. compute an approximation to the probability that the number 6 will appear between 150 and 200 times inclusively.
The probability that the number 6 will appear between 150 and 200 times inclusively is 0.926.
In the given question, one thousand independent rolls of a fair die will be made.
We have to compute an approximation to the probability that the number 6 will appear between 150 and 200 times inclusively.
Let n=1000 are independent trails.
The probability of success is constant, p=1/6
The probability of success is not constant,
q=1-1/6 = 5/6
let X be the number of times the die shows a 6.
μ = np
μ = 1000*1/6
μ = 166.7
σ=√npq
σ=√1000*1/6*5/6
σ=√5000/36
σ=11.785
Now we used the correlation continuity for finding the probability that number 6 will appear between 150 and 200 times is
P(150≤X≤200)=P(X≤200)-P(X<150)
P(150≤X≤200)=P(Z≤(200+0.5-166.7)/11.785)-P(Z≤(150-0.5-166.7)/11.785)
P(150≤X≤200)=P(Z≤2.87)-P(Z≤-1.46)
P(150≤X≤200)=0.998-0.072
P(150≤X≤200)=0.926
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Can someone please solve for me
Let x = 0.263263263…
Then 1000x = 263.263263263…
Subtracting x gives
1000x - x = 263.263263263… - 0.263263263…
999x = 263
x = 263/999
A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half
Answer:
1/3!
Step-by-step explanation:
Good Luck On Whatever You Needed This For!
The probability of drawing a green marble out of the bag without looking is 1/3.
Given that, a bag contains 1 blue, 2 green, and 3 red marbles.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
Total number of outcomes =1+2+3 =6
Number of favorable outcomes = 2
Now, probability of drawing green marble
= 2/6
= 1/3
Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.
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7. Find the coordinates of a point on a circle with radius 20 corresponding to an angle of \( 305^{\circ} \)
Given that a circle with radius 20 has a corresponding angle of 305°.
To find the coordinates of a point on the circle, we use the formula:`(r cos (θ), r sin (θ))`Here, `r = 20` and `θ = 305°`.
Substituting the values of `r` and `θ` in the formula, we get:`(20 cos (305°), 20 sin (305°))`
Using the values of trigonometric ratios, we can write:cos(305°) = cos(360° - 305°) = cos(55°) ≈ -0.5736sin(305°) = sin(360° - 305°) = sin(55°) ≈ 0.8192
Hence, the coordinates of a point on a circle with radius 20 corresponding to an angle of 305° are approximately `(-11.47, 16.38)`.
The coordinates of a point on a circle with radius 20 corresponding to an angle of 305° are approximately `(-11.47, 16.38)`
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A population of beavers decreases exponentially at a rate of 7.5% per year. What is the equivalent monthly rate to the nearest hundredth of a percent
Answer:
0.65%
Step-by-step explanation:
i took the test
the system has an isolated critical point at (0,0), but the system is not almost linear. solve the system for an initial point , where neither nor are zero (recall how to solve separable equations). use for your time variable: Type "sink" "source "saddle" "spiral sink" "spiral source "center'
x(t) and y(t) approach 0 as t approaches infinity, we can conclude that the system behaves like a center at the origin
To solve the system of differential equations x' = 10x² and y' = 3y², we will treat them as separable equations and solve them individually.
For the equation x' = 10x²:
Separate the variables and integrate:
∫(1/x²) dx = ∫10 dt
-1/x = 10t + C₁ (where C₁ is the constant of integration)
x = -1/(10t + C₁)
For the equation y' = 3y²:
Separate the variables and integrate:
∫(1/y²) dy = ∫3 dt
-1/y = 3t + C₂ (where C₂ is the constant of integration)
y = -1/(3t + C²)
Given the initial point (x(0), y(0)) = (a, b), we can substitute these values into the solutions:
x(0) = -1/(10(0) + C₁) = a
C₁ = -1/a
y(0) = -1/(3(0) + C₂) = b
C₂ = -1/b
Substituting the values of C₁ and C₂ back into the solutions, we get:
x(t) = -1/(10t - 1/a)
y(t) = -1/(3t - 1/b)
Based on this solution, we can analyze the behavior of the system at the origin (0,0). Let's evaluate the limit as t approaches infinity:
lim (t->∞) x(t) = -1/(10t - 1/a) = 0
lim (t->∞) y(t) = -1/(3t - 1/b) = 0
Since both x(t) and y(t) approach 0 as t approaches infinity, we can conclude that the system behaves like a center at the origin.
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The complete question is :
The system x' = 10x2, ý = 3y2 has an isolated critical point at (0,0), but the system is not almost linear. Solve the system for an initial point (x(0), y(0)) = (a, b), where neither a nor b are zero (recall how to solve separable equations). Use t for your time variable: x(t) = y(t) = Based on this solution, the system behaves like what at the origin? Bahavior: Type "sink", "source", "saddle", "spiral sink", "spiral source", "center".
Standard Notations 3.042 x 10²
74100
170000
36000
I believe this is right!
Jeanine is selecting various albums to be displayed in the front of her music coffee house. She will be choosing 4 albums for
one part of the display. This part of the display is very prominent and she is really trying to promote jazz. There are five albums
from Diana Kroll, seven albums from Harry Connick Jr. and four albums from Michael Bublé. In how many ways can she choose
four albums for display and at least two albums are from Diana Kroll? Evaluate using both the direct and indirect method.
Gt11.2014
Answer:
The number of ways she can choose four albums for display with at least two from Diana Kroll is from the sixteen albums is 665 ways
Step-by-step explanation:
1) The number of ways she can choose 2 albums of Diana from the 5 Diana Kroll albums is 5!/(2!(5 - 2)!) = 10 ways
Choosing the other 2 albums from the remaining 11 albums gives;
11!/(2!(11 - 2)!) = 55 ways
Total number of ways is then 10 × 55 = 550 ways
Choosing 3 from the 5 Diana Kroll albums is 5!/(3!(5 - 3)!) = 10 ways
Choosing the other 1 album from the remaining 11 albums gives;
11!/(1!(11 - 1)!) = 11 ways
Total number of ways is then 10 × 11 = 110 ways
Choosing 4 from the 5 Diana Kroll albums is 5!/(4!(5 - 4)!) = 5 ways
Choosing the other 0 album from the remaining 11 albums gives;
11!/(0!(11 - 0)!) = 1 way
Total number of ways is then 5 × 1 = 5 ways
Total number of ways = 550 + 110 + 5 = 665 ways
2) In the indirect method, we first find the number of ways to choose 4 albums out of the 16 albums, then we subtract the number of cases where there are 1 and 0 Diana Kroll albums as follows;
16!/(4!(16 - 4)!) = 1820 ways
With 1 Diana Kroll album gives
5!/(1!(5 - 1)!)×11!(3!(11 - 3)!) = 825 ways
With 0 Diana Kroll album gives
5!/(0!(5 - 0)!)×11!(4!(11 - 4)!) = 330 ways
Total number of ways with at least 2 Diana Kroll albums = 1820 - 825 - 330
Total number of ways with at least 2 Diana Kroll albums = 665 ways.
if Kyle's terrarium had a volume of 64 ft3 ,what would the edge length be?
Answer:
4 ft
Step-by-step explanation:
Volume of a cube = \(x^{3}\) (where x equals the side/edge length)
V = \(x^{3}\)
64 = \(x^{3}\)
64 divided by 3 = 4 ft