Answer:
i think it c and o or cl and s
Step-by-step explanation:
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
230p-1010=650p-400-p and 2.3p-10.1=6.49p-4 are the correct options that have the same solution with the parent equation.
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The expression 2.3p-10.1=6.5p-4-0.01p
-4.19p=10.1-4
p= -1.4558
Now 230p-1010=650p-400-p
-419p=1660
p=-1.4558
Similarly 2.3p-10.1=6.49p-4
-4.19p=10.1-4
p=-1.4558
Hence, 230p-1010=650p-400-p and 2.3p-10.1=6.49p-4 are the correct options that have the same solution with the parent equation.
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Question 2
Which sign makes the following statement true? 2/5 ___ 6/15
1. =
2. >
3.
Answer:
1 is answer
Step-by-step explanation:
2*3/5*3___6/5
is the ordered pair a solution to the equation. y=-7; (-5,6)
Answer: No
To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.
If the equation is true, then the ordered pair is a solution to the equation.
If we put (-5,6) into y=-7, we get 6=-7, which is not true.
So, (-5,6) is not a solution to the equation y=-7.
Kim had 2 1/3 pounds of candy. Eric eats 2/5 of Kims candy. How much candy did Eric eat?
The quantity of candy that Eric ate would be = 14/15
How to calculate the quantity of candy eaten by Eric?The quantity of Candy Kim had = 2⅓ pounds.
The quantity of Kims candy that Eric ate = 2/5
That is 2/5 of 2⅓.
The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15
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if m<xyz = 58 and m<wxz = 51 find m<wzx
Answer:
m<wzx = 71
Step-by-step explanation:
Assuming these are interior angles of a triangle.
The sum of all three interior angles of a triangle is always 180 degrees, therefore:
m<xyz + m<wxz + m<wzx = 180
Substitute our values:
58 + 51 + m<wzx = 180
m<wzx = 180 - 58 - 51
m<wzx = 71
Please help ASAP !!! Thank you !
What are the zeros of the function
Answer: i think c
Step-by-step explanation:
Answer plz. Give an explanation so I know ur not just getting points so I dont report. Thank you!
Answer:
C
Step-by-step explanation:
Hey There!
The answer is C because x would equal what 42% of 12 would be if that makes sense
Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
\(\bar{x}=650\\\\\sigma =24\\\\n=36\\\\\)
Calculating the sampling distribution of the sample mean:
\(\to \mu=\mu_\bar{x}=650\)
Calculating the sampling distribution of the standard deviation:
\(\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4\)
Chinedu missed his school bus by 2 munutes, so he walked to school which took him 27 minutes, arriving 6 minutes late for class at 8.11am At what time should he have caught the bus?
Answer:
Step-by-step explanation:
So we know he arrived at 8:11 am. He should've arrived at 8:05 am if he rode the bus. So, we know that it took 27 minutes for him to get to school by walking. If he arrived at 8:11, then he started walking at 7:44 am. Since the school bus arrived 2 minutes before he started walking, we can say that the school bus arrived at 7:42 am.
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The First number in a pattern is 8. Each following number is found by subtracting 9 from the previous number.What is fifth number in this pattern?A. -45B. -40C. -37D. -28
We have a sequence of number, the first number is 8 and the subsequent numbers are found by subtracting 9 from the previous, so:
\(\begin{gathered} a_1=8 \\ a_2=a_1-9=8-9=-1 \\ a_3=a_2-9=-1-9=-10 \\ a_4=a_3-9=-10-9=-19 \\ a_5=a_4-9=-19-9=-28 \end{gathered}\)The fifth number in the pattern is -28
PLEASE I HAVE 20 MINUTES
(Thanks in advance :)
Answer: 56.52mm
Step-by-step explanation:
First, you have to find the circumference of the wheel and divide it by 25 since the spokes are equally spaced.
The equation for the circumference of a circle is:
C = 2πr
C = 2 x π x 225
C = 1413
Then, you divide it by 25
1413/25 = 56.52
Ae
A Man travels distance
84km in Ihr 20mins. Find
His speed average find-
Answer:
1.05km/min
Step-by-step explanation:
\(Distance = 84 km\\\\Time = 1hr 20 min= 80minuttes\\\\Average \: Speed = \frac{Distance}{Time} \\\\A.S =\frac{84}{80} \\\\A.S = 1.05km/min\)
we, know that
➺ Average Speed = Total Distance/Total Time taken
where,
Total Distance = 84km = 84000mTotal time = 1hr20mins = 4800sec♛ Substituting these values ♛
◗Average Speed = Distance/Time
◗Average Speed = 84000/4800
◗Average Speed = 840/48
◗Average Speed = 70/4
◗Average Speed = 17.5m/s
Hence, Average Speed of the man is 17.5m/sA 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20. A 2-column table with 4 rows. Column 1 is labeled x with entries 1, 2, 3, 4. Column 2 is labeled y with entries 11, 22, 33, 44. What relationship between the quantities is shown in the table? The relationship between quantities is +10. The relationship between quantities is ×11. The relationship between quantities is – 30. The relationship between quantities is + 20.
The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).
How to explain the relationshipIn the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.
To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).
If we subtract each value in column 1 from the corresponding value in column 2, we find that:
11 - 1 = 10
22 - 2 = 20
33 - 3 = 30
44 - 4 = 40
By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.
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13) A rectangular garden has an area of 45 square meters. The garden will be 4 meters longer than its width Write and sowe an equation to find the dimensions in meters.
Answer:
9m ×5m
Step-by-step explanation:
Area of a rectangle= length ×width
Let the width be W meters and the length be L meters.
2 equations can be written from the given information:
45= WL -----(1)
L= W +4 -----(2)
Substitute (2) into (1):
45= W(W +4)
Expand:
45= W² +4W
-45 on both sides:
W² +4W -45= 0
Factorise:
(W +9)(W -5)= 0
W+9=0 or W-5=0
W= -9 or W= 5
(reject)
Substitute W= 5 into (2):
L= 5 +4
L= 9
∴ The dimensions of the garden is 9m ×5m.
When taking the sine and cosine of different angles in your calculator, why are they sometimes the same? Why do they sometimes produce the same answer? ex: sin 55* = 0.819152044 and cos35* = 0.819152044 or sine 30* and cos 60*
Answer:
sin(theta) = 90 - cos(theta)
cos(theta) = 90 - sin(theta)
John and Ariana bought school supplies. John spent $11.00 on 5 notebooks and 7 pens. Ariana spent $7.00 on 4 notebooks and 2 pens. What is the cost of 1 notebook and what is the cost of 1 pen?
Step-by-step explanation:
set notebooks as x, set pens as y
1. 5x + 7y = 11
2. 4x + 2y = 7
1. times by 2
10x + 14y = 22
2. times by 7
28x + 14y = 49
2. minus 1.
18x = 27
x = 1.5
sub 1.5 into 2.
4(1.5) +2y = 7
6+2y = 7
2y = 1
y = 0.5
Therefore, x = 1.5, y = 0.5
The product of an integer and a decimal number will never be an integer.Find the missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.
972,324,108,36
The sequence is geometric, with a common ratio of 1/3, and the missing terms are 12 and 4.
To determine if the sequence is arithmetic, geometric, or neither, let's examine the given terms: 972, 324, 108, 36.
To find the missing terms of the sequence, let's look for a pattern in the numbers:
If we divide each term by 3, we get:
972/3 = 324
324/3 = 108
108/3 = 36
It seems that each term is obtained by dividing the previous term by 3.
Now, let's check if the sequence is arithmetic or geometric:
If we calculate the common difference between consecutive terms, we see that there is no constant difference. For example:
324 - 972 = -648
108 - 324 = -216
36 - 108 = -72
Since the differences are not constant, the sequence is not arithmetic.
If we calculate the common ratio between consecutive terms by dividing a term by its previous term, we find that the ratio is constant:
324/972 = 1/3
108/324 = 1/3
36/108 = 1/3
The common ratio is 1/3, which indicates that the sequence is geometric.
The missing terms in the sequence are:
(36/3) = 12
(12/3) = 4
The complete sequence is: 972, 324, 108, 36, 12, 4.
The sequence is geometric, with a common ratio of 1/3, and the missing terms are 12 and 4.
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60 POINTS PLEASE SEND ME A COMPLETED COPY OF THIS "linear functions worksheet: child's growth and prosperity
Answer:
give it to me now and then I'll do it
Answer:
Step-by-step explanation:
On a 800km trip, Ryan's family travelled at 90km/h for the first 600km and 100km/h for
the remainder of the journey. If they had travelled 90km/h for the entire journey, how
much longer would the trip have taken?
The trip would have taken 8.89 hours instead of 8 hours.
How to calculate distance traveled?Distance traveled can be calculated by multiplying the speed at which the object is traveling by the amount of time the object has been in motion.
For example, if a car is traveling at 60 miles per hour for two hours, the distance traveled would be 120 miles.
To calculate distance more accurately, you can use the formula d = rt, where d is the distance, r is the rate of speed, and t is the time in which the object has been in motion.
It is important to note that this formula assumes a constant speed throughout the duration of the journey.
It is also important to remember that the unit of measurement used for both the speed and the time must be the same. Therefore, if the speed is in miles per hour, the time must also be in hours.
In order to calculate this, we need to first calculate the time it took for the family to travel the first 600km at 90km/h. This can be calculated using the formula:
Time = Distance / Speed
So, the time it took for the family to travel the first 600km is:
Time = 600km / 90km/h = 6.67 hours
Then, we can calculate the time it would have taken for the family to travel 800km at 90km/h using the same formula:
Time = 800km / 90km/h = 8.89 hours
Therefore, the trip would have taken 8.89 hours, which is 0.89 hours longer than the original trip which took 8 hours.
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Find n. Then find the area. Perimeter= 60 2/4 W= 12 1/4
The area with Perimeter= 60 2/4 and Width= 12 1/4 is mathematically given as
A=36
What is the area?
Question Parameters:
Perimeter= 60 2/4
Width W= 12 1/4
Generally, the equation for the Area is mathematically given as
A=L*W
Where
P=2L+2W
Hence
60( 2/4)=2L+2( 12( 1/4))
L=12* 12 1/4
Therefore
A=12*W
A=36
In conclusion. the area. with Perimeter= 60 2/4 and W= 12 1/4
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What is the rectangular form of 6(cos(2250)+ i sin(2250)?
9514 1404 393
Answer:
-4.24264 -4.24264i
Step-by-step explanation:
Evaluate the sine and cosine terms and multiply.
6(cos(225°) +i·sin(225°)) = 6(-√2/2 -i·√2/2)
= -3√2 -i·3√2 ≈ -4.24264 -4.24264i
Answer:The correct answer is (A) - 3√2 - 3√2 i
A right triangle is shown.
Which angle measure is the closest to x ?
13.3o
33.6o
40.0o
56.4o
for the figure shown below find the measure of angle 1 measure of angle one=
Answer:
The measure of angle 1 is;
\(\measuredangle1=119^0\)Explanation:
Given the figure in the attached image.
Angle 1 is an exterior angle.
Recal that;
The value of an exterior angle of a triangle is equal to the sum of the opposite non-adjacent interior angles of the triangle;
So, we can get the angle 1 using the above rule;
\(\begin{gathered} \measuredangle1=58^0+61^0 \\ \measuredangle1=119^0 \end{gathered}\)Therefore, the measure of angle 1 is;
\(\measuredangle1=119^0\)
which of the classical assumptions would be violated if you decided to add a dummy variable to the equation that was equal to 1 if the ith day was a tuesday, wednesday, thursday, or friday, and equal to 0 otherwise? (hint: the stock market is not open on weekends.)
The classical assumptions would be violated if you decided to add a dummy variable to the equation that was equal to 1 is independence of errors.
In a linear regression equation, the errors are assumed to be independent of each other, meaning that the error for one observation should not be related to the error for any other observation.
However, when you add a dummy variable that indicates whether the day is a weekday or not, you are introducing a systematic pattern into the errors.
Specifically, you are creating a situation where the errors for weekdays will be more similar to each other than to the errors for weekends, because the stock market is closed on weekends.
This violates the assumption of independence of errors, which can lead to biased estimates and unreliable inferences. To address this issue, you could consider including a different dummy variable that indicates whether the day is a weekend or not.
This would help to account for the systematic pattern in the errors and ensure that the classical assumptions are not violated.
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Solve the equations
Answer:
Step-by-step explanation:
3. 3x - 12 = -2x - 12
5x - 12 = -12
5x = 0
x = 0
4. 7x - 14 = 5x + 20
2x - 14 = 20
2x = 34
x = 17
5. 9x + 18 = 3x - 6
6x + 18 = -6
6x = -24
x = -4
6. 3 + 2x + 2 = 3x + 6
2x + 5 = 3x + 6
3x + 6 = 2x + 5
x + 6 = 5
x = -1
Please help me with this question
Answer:
\( \displaystyle{ \theta = \dfrac{5\pi}{6} ,\dfrac{7\pi}{6}}\)
Step-by-step explanation:
Given the equation:
\( \displaystyle{2 \cos \theta = - \sqrt{3} }\)
Divide both sides by 2:
\( \displaystyle{ \cos \theta = \dfrac{- \sqrt{3}} {2}}\)
Cosine is negative in Quadrant 2 and 3. Therefore, we have to find measurement that satisfies the equation. We know that:
\( \displaystyle{ \cos \dfrac{\pi}{6} = \dfrac{ \sqrt{3} }{2}}\)
π/6 is a reference angle. Therefore, to find √3/2 in negative form (for cosine), we have to subtract π by π/6 (Q2) and also add π by π/6 (Q3) as well.
Q2
\(\displaystyle{ \pi - \dfrac{\pi}{6} = \dfrac{6\pi}{6} - \dfrac{\pi}{6}} \\ \\ \displaystyle{ \pi - \dfrac{\pi}{6}= \dfrac{5\pi}{6}}\)
Q3
\( \displaystyle{\pi + \dfrac{\pi}{6} = \dfrac{6\pi}{6} + \dfrac{\pi}{6}} \\ \\ \displaystyle{\pi + \dfrac{\pi}{6} = \dfrac{7\pi}{6}}\)
Since the interval is from 0 to 2π, only two measurements above (5π/6 and 7π/6) are only solutions to the equation.
\( \displaystyle{ \therefore \theta = \dfrac{5\pi}{6} ,\dfrac{7\pi}{6}}\)
I need help with this differential equation.
(i) The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).
(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:
A/(factor 1) + B/(factor 2) + C/(factor 3) + ...
In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:
100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)
To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:
100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))
Now, we can equate the numerators:
100 = (A * (10 - x) + B * \(x^7\))
To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:
For x = 0:
100 = (A * (10 - 0) + B * \(0^7\))
100 = 10A
A = 10
For x = 10:
100 = (A * (10 - 10) + B *\(10^7\))
100 = B * 10^7
B = 100 / 10^7
B = 1/10^5
Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:
100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)
(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)
We are also given x = 1 when t = 0.
To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:
∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt
Integrating both sides:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C
Where C is the constant of integration.
Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:
-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C
-1 = 0 + C
C = -1
Plugging in the value of C, we have:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1
To solve for t in terms of x, we can rearrange the equation:
1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1
Multiplying both sides by -1, we get:
-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1
Simplifying further:
1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1
Now, we can isolate t on one side of the equation:
(1/100) * (10t - (1/2)t^2) = 1 - 1/x
10t - (1/2)t^2 = 100 - 100/x
Simplifying the equation:
(1/2)\(t^2\) - 10t + (100 - 100/x) = 0
At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:
t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))
Simplifying further:
t = (10 ± √(100 + 200/x)) / 1
t = 10 ± √(100 + 200/x)
Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).
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what is equivalent to 2/3x-1=1/2
Answer:x=9/4
Step-by-step explanation:
Answer:
x = 9/4
Step-by-step explanation:
2/3x-1=1/2
- Add 1 to both sides of the equation.
2/3x = 3/2
- Divide both sides of the equation by 2/3 to isolate the variable.
x = 9/4
Show that each one of the following system of equations is inconsistent: (Each group attempt any two Parts) i) x – 2y – 5 = 0 -2x + 4y = 6
Bases of the condition the system of equations has no solution.
Given,
In the question:
The system of equations are as follows:
x – 2y – 5 = 0
-2x + 4y = 6
Show that each one of the following system of equations is inconsistent:
Now, According to the question:
The Equations given as:
x – 2y – 5 = 0
-2x + 4y = 6
Rearrange the equations;
x – 2y = 5
-2x + 4y = 6
Rearrange like terms to the same side of the equation
x = 5 + 2y
-2x + 4y = 6
Substitute into one of the equations:
-2(5 + 2y) + 4y = 6
Apply the Distributive Property:
-10 - 4y + 4y = 6
-10 = 6
Hence, Bases of the condition the system of equations has no solution.
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