Step 1 : We have the following equation: 3x - 3 = 4x + 2
Step 2: Let's solve it, this way:
A. Like terms (Variable x and coefficients on the left and integers on the right)
3x - 4x = 2 + 3
-x = 5
Multiplying by - 1 at both sides, we have:
-x (-1) = 5 (-1)
x = -5
Step 3: Let's prove that x = -5 is correct, this way:
3x - 3 = 4x + 2
3 (-5) - 3 = 4 (-5) + 2
-15 - 3 = -20 + 2
- 18 = - 18
We just proved that x = -5 is correct for the equation given!
My pleasure to help you out today, Devin!
Answer:
See below
Step-by-step explanation:
3x -3 = 4x + 2 subtract 3x from both sides of the equation to get
-3 = x + 2 subtract 2 from both sides
-5 = x Done !
find the curvature of r(t) = 5t, t2, t3 at the point (5, 1, 1).
K =
Concept Simulation 20.4 provides background for this problem and gives you the opportunity to verify your answer graphically. How many time constants (a decimal number) must elapse before a capacitor in a series RC circuit is charged to 47.0% of its equilibrium charge?
The number of time constants must elapse before a capacitor in a series rc will be 0.634rc.
Explanation:
Let us denote the equilibrium charge with qₐ
In the given question
for the duration we are to obtain the final charge on the capacitor should be 47% of qₐ
q= qₐ(1-e⁻t/rc)
Where q is the final charge = 47% = 0.47qₐ
RC is the time constant
substitute the values:
0.47qₐ= qₐ(1-e⁻t/rc)
e⁻t/rc=0.53
Taking natural log of both sides
ln(e⁻t/rc) = ln(0.53)
-t/rc = -0.634
t/rc =0.634
t=0.634rc
So the time constant will be t=0.634timeconstants
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Verify that fand g are inverse functions (both questions please)
Answer:
hope it helps you..,.....,..........
I have a question can you help me solve this. m-8=3
You have the following algebraic expression:
\(m-8=3\)In order to solve the previous expression, you proceed s follow:
m - 8 = 3 First, you sum 8 both sides of the equation
m - 8 + 8 = 3 + 8 simplify (-8 + 8 cancel out, 3 + 8 is equal to 11)
m = 11
Hence, the solution to the equation is m = 11
If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the number?
How many numbers less than 305 are divisible by 3?
To find the number of integers less than 305 that are divisible by 3, we can divide 305 by 3 and round down to the nearest integer. This gives us 101. However, we need to subtract 1 to exclude the number 305 itself, so there are 100 numbers less than 305 that are divisible by 3.
In math, what exactly is a divisible?A number is said to be divisible if it divides evenly (leaving no residue). 34, for instance, is divisible by 2 since 2 enters 34 equally. 34 is not divisible by 3 since it would result in a remainder.
How can you divide three?According to the three-digit rule of division, a whole number is said to be divisible by three if the total of all its digits is precisely divided by three. A number's ability to be divided by three can be determined without executing division.
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As the weather changes from Summer to Fall, it was noted that the temperature dropped 20°F over 4 weeks. It continued to drop the same amount of degrees for each week. Write an integer that represents the change in temperature each week. Explain.
Answer:
The integer that represents the change in the temperature each week = 5
The temperature of the weather drops 5°F each week
Step-by-step explanation:
The given parameters regarding the weather are;
The range over which the temperature dropped = 20°F
The duration over which the temperature dropped = 4 weeks
The rate at which the weather dropped each week = The same amount (constant rate)
Therefore, we have;
For a constant rate of change, the rate of change of the temperature of the weather, m, is given as follows;
m = (The change in the temperature)/(The duration of the change)
m = 20°F/(4 weeks) = 5°F/week
The integer that represents the change in the temperature each week = 5
Which inequality represents this sentence?
A number is no more than 57. I NEED A ANSWER ASAP WHOEVER GIVES CORRECT ANSWER GETS BRAINLIEST
Answer:
x < 57
Step-by-step explanation:
If line segment AB represents 20%, what is the length of a line segment that is 100%?
Answer:
15 in
Step-by-step explanation:
because if A-B is 20%
than 3 is 20%
so
3+3+3+3+3 or 3*5= 15
so 15 in is 100%
Write an equation
in slope-intercept form of the line that passes through the points
The equation in slope-intercept form of the line that passes through the points is f(x) = 2x + 2
How to determine the linear function f with the given values.From the question, we have the following parameters that can be used in our computation:
f(0) = 2 , f(-2) = -2
A linear equation can be represented as
f(x) = mx + c
Substitute the known values in the above equation, so, we have the following representation
m * 0 + c = 2
m * -2 + c = -2
Solving 0 * x + c = 2, we have
c = 2
So, we have
m * -2 + c = -2
This gives
-2 * m + 2 = -2
Evaluate the like terms in the above equation
So, we have the following representation
-2m = -4
Divide both sides of the equation by -2
So, we have
m = 2
Substitute the known values in the equation f(x) = mx + c, so, we have the following representation
f(x) = 2x + 2
Hence, the function is f(x) = 2x + 2
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Complete question
Write an equation in slope-intercept form of the line that passes through the points: f(0) = 2 and f(-2) = -2
The table below records the low winter temperatures for four cities.
The table is titled Low Winter Temperatures. The table has two columns and four rows. The first column is labeled City and the second column is labeled Temperature in degrees Fahrenheit. Falls Creek, negative twelve. Harper, positive five. Sun Valley, negative four. Bellport, positive seventeen.
Which city recorded the coldest temperature
Answer:
falls creek hhhhhhhjjkk
Can somebody answer this question?
Answer:
A
Step-by-step explanation:
Replace x with the answer choices of x
I do not know the answer to this question. I need help
Answer:
(-6,-4)
Step-by-step explanation:
5 [4 (22-18) +4]
what's the answer
Answer:
Step-by-step explanation:
5 [4 (22-18) +4] = 5 [4 (4) +4] [start from the inner most bracket.]
= 5 [ 16 + 4] [more priority for parenthesis than + ]
= 5 [ 20 ] [again solve inside the bracket]
= 100
Answer:
100
Step-by-step explanation:
➛ 5 [ 4 ( 22 - 18 ) + 4 ]
➛ 5 [ 4 ( 4 ) + 4 ]
➛ 5 [ 16 + 4 ]
➛ 5 [ 20 ]
➛ 100
2. Which is NOT in the fact family for
3, 4, and 12?
6. N
fo
ir
Step-by-step explanation:
4÷12= 0.333333333333
12÷4=3
Since 4÷12 answer is different from the others, it's A. Let me know if this is correct! :)
The exact value of Tan 30 x sin 60
Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
\(\tan \left(30^{\circ \:}\right)=\frac{\sqrt{3}}{3}\)
\(\quad \sin \left(60^{\circ \:}\right)=\frac{\sqrt{3}}{2}\)
\(=\frac{\sqrt{3}}{3}\times \frac{\sqrt{3}}{2}\)
\(=\frac{3}{6}\)
\(=\frac{1}{2}\)
Answer:
\(1/2\)
Step-by-step explanation:
Tan 30 = \(\frac{\sqrt{3} }{3}\)
Sin 60 = \(\frac{\sqrt{3} }{2}\)
Multiply the 2 roots you get my answer 1/2
Which graph does not represent a function?
Answer:
the full circle one
Step-by-step explanation:
use the vertical line test. Hold up a pen on any given spot in the graph (the pen has to be vertical) and if it goes through the line in 2 or more different places its not a function
The relationship between osmotic pressure and osmosis Osmotic pressure may be calculated using the following formula: □=iRT(C
nn
−C
oul
) where □= Osmotic pressure in atmospheres T= temperature in degrees Kelvin (0
∘
C=273
∘
K) So room temp is (273
∘
+20
∘
=293
∘
Kelvin ) R= gas constant =0.082 atm/(K×M) C
in
= Concentration of solution inside bag in M(M= moles/ L ) C
out
= concentration of solution outside bag =0M i= the number of ions dissociated from each molecule in solution Note: non-electrolytes, like sugar, will not dissociate in solution, unlike electrolytes which will dissociate into two or more ions in solution. So i=1 for sugar. Use the equation above to calculate the initial osmotic pressure (in atmospheres) developed by each solution. (Show your calculations in the space provided below.) Hint: First calculate (C
1n
) the molarity (M= moles /L) of the solution in the dialysis bag. sucrose molecular weight =342 g/mole 70% sucrose =700 g/L... how many moles of glucose are in 1 L ? Then enter the appropriate values into the equation above. Osmotic pressure of 70% Sucrose solution. Please write out all the steps. Don't forget to include the units! (16%) Osmotic pressure of 35% Sucrose solution ( 8%) Osmotic pressure of water (control) (4\%) How are osmotic pressure and the rate of osmosis related? (4\%) Now that you understand the relationship between osmotic pressure and the rate of osmosis, you can now predict the rate of osmosis for other solutions. Predict what would happen if the dialysis membrane was impermeable to ions and instead of sucrose NaCl was used at the same molarity as the 70% sucrose. Make sure to explain why your prediction would occur. Hint: Remember NaCl will ionize in water. How many ions will form from each molecule of this salt? (i=?)(8%)
The relationship between osmotic pressure and osmosis is closely linked. Osmotic pressure is the pressure exerted by a solvent to prevent the flow of water into a solution through a semipermeable membrane. It is directly proportional to the concentration of solute particles in the solution.
To calculate osmotic pressure, we can use the formula: Π = iRT(Cin - Cout)
- Π represents osmotic pressure in atmospheres.
- i represents the number of ions dissociated from each molecule in solution. For non-electrolytes like sugar, i is equal to 1.
- R is the gas constant, which is 0.082 atm/(K×M).
- T represents the temperature in Kelvin. For room temperature, it is 293 Kelvin.
- Cin represents the concentration of the solution inside the dialysis bag in moles per liter (M).
- Cout represents the concentration of the solution outside the dialysis bag.
Let's calculate the osmotic pressure for each of the given solutions:
1. Osmotic pressure of 70% Sucrose solution:
First, we need to calculate the molarity of the solution inside the bag (Cin). The molecular weight of sucrose is 342 g/mol. So, for a 70% sucrose solution, we have 700 g of sucrose in 1 L of solution. To convert this to moles, we divide by the molecular weight: (700 g / 342 g/mol) = 2.05 mol/L.
Now we can substitute the values into the formula:
Π = iRT(Cin - Cout)
Π = (1)(0.082 atm/(K×M))(293 K)(2.05 M - 0 M)
Π = 47.79 atm
Therefore, the osmotic pressure of the 70% Sucrose solution is 47.79 atm.
2. Osmotic pressure of 35% Sucrose solution:
Using the same process as above, we find that the molarity of the solution inside the bag (Cin) is 1.02 M.
Π = iRT(Cin - Cout)
Π = (1)(0.082 atm/(K×M))(293 K)(1.02 M - 0 M)
Π = 23.67 atm
Therefore, the osmotic pressure of the 35% Sucrose solution is 23.67 atm.
3. Osmotic pressure of water (control):
For water, the concentration of solute (Cin) is 0 M, as there is no solute present.
Π = iRT(Cin - Cout)
Π = (1)(0.082 atm/(K×M))(293 K)(0 M - 0 M)
Π = 0 atm
Therefore, the osmotic pressure of water is 0 atm.
The relationship between osmotic pressure and the rate of osmosis is that higher osmotic pressure leads to a faster rate of osmosis. Osmosis is the movement of solvent molecules from an area of lower solute concentration to an area of higher solute concentration through a semipermeable membrane. The higher the osmotic pressure, the greater the driving force for water molecules to move across the membrane.
If the dialysis membrane were impermeable to ions and NaCl was used instead of sucrose at the same molarity (2.05 M), the osmotic pressure would be different. NaCl dissociates into two ions in solution, so the value of i would be 2.
Π = iRT(Cin - Cout)
Π = (2)(0.082 atm/(K×M))(293 K)(2.05 M - 0 M)
Π = 97.98 atm
Therefore, if NaCl were used instead of sucrose, the osmotic pressure would be 97.98 atm. This is because NaCl generates more particles (ions) in solution, increasing the osmotic pressure compared to sucrose.
By understanding the relationship between osmotic pressure and the rate of osmosis, we can predict that a solution with higher osmotic pressure will have a faster rate of osmosis compared to a solution with lower osmotic pressure.
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the ages of 32 recruits in the police academy are normally distributed with a mean of 27 and a standard deviation of 2.
label the normal curve
Mean is 27 and SD is 2 then the normal curve with highest range would be at domain 27.
What is mean?The mean is the average of a set of numbers. It is calculated by adding all the numbers in the set together, and then dividing by the number of values in the set. It is calculated by adding up all the numbers in the set, dividing by how many values there are in the set, and then multiplying by that number. The average of a group of numbers is called the mean.
Mean is 27 and SD is 2
a) P(23<x<27)= P((23-27)/2<z<(27-27)/2)=P(-2<z<0)=P(z<0)-P(z<-2) or P(z<0)-(1-P(z<2))
From normal distribution table we get 0.5-(1-0.9772)=0.4772
b) P(x>31)=P(z>(31-27)/2)=P(z>2) or 1-P(z<2)=1-0.9772=0.0228
c) P(x<29)= P(z<(29-27)/2)=P(z<1)=0.8413
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(a) (i) What conditions should be satisfied to use image averaging method for noise reduction? (ii) Using mathematical expressions, characterize the noise in the resultant image when K images are averaged, as K becomes large. (iii) Would you select spatial averaging or temporal image averaging when either method can be used for noise reduction? Explain your selection in detail.
(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-
(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.
(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K
Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.
Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.
(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.
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The diagram illustrates the water cycle. Which best describes the process occurring at U and X
The diagram of water cycle is attached below.
The best describes the process occurring at U and X is Water changes from a liquid to a gas.
The process that occurs at the position of U and X is discussed when water transforms from a liquid to a gas. This is called Evaporation.
The following are the situations that should not be arisen at the location U and X:
when water transitions from a liquid to a gas.From living to non-living, water cycles exist.Additionally, water cycles from non-living to living things.Learn more about Water cycle here:
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Ms. palmer has 1 1/2gallons of orange juice.
how many servings of juice can she make, in cups?
in percent the whole of an amount W is measured by the formula W=100N/P where N=part and P=percent solve the formula for P (SAVVAS MATH XL)
The equation of P in the given equation is P = 100N/W
How to solve for P in the equation?The equation is given as:
W = 100N/P
Multiply both sides by P
WP = 100N
Divide both sides by W
P = 100N/W
Hence, the equation of P in the given equation is P = 100N/W
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The function a(n)= 2n-5 represents the value of the nth term in a sequence. What is the sum of the 2nd and 3rd terms of the sequence?
The sum of the second and third terms of the arithmetic progression is equal to 0.
How to analyze arithmetic progressionsArithmetic progressions are sets whose terms are generated by expressions of the form:
y = a + r · (n - 1)
y = r · n + (a - r)
Where:
a - Value of the first term.r - Common raten - Index of the n-th term of the progression.
The sum of the second and third elements is:
n = 2
y = 2 · 2 - 5
y = - 1
n = 3
y = 2 · 3 - 5
y = 1
S = - 1 + 1
S = 0
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Solve the following equation for n.
n+18=m
Answer:
n=m-18. Please Please Please Mark it as brainlist answer. Please I request to Mark it as brainlist answer..
Three different mixtures contain small amounts of acetic acid. Mixture A is 0.036 acetic acid, Mixture B is 4.2% acetic acid, and Mixture C is 1/22 acetic acid. Explain how to use this information to determine which mixture contains the greatest amount of acetic acid.
The mixture that contains the greatest amount of acetic acid is the mixture C.
What is a mixture?A mixture is a substance that contains tow ore more constitutes in various quantities which may or may not be able to be separated.
To determine the mixture with a greater amount of acetic acid, all the mixtures are converted to decimal forms such as the following:
Mixture A = 0.036 acetic acid ( already in a decimal form)
Mixture B = 4.2% = 4.2/100 = 0.042
Mixture C = 1/22 = 0.046
Therefore,the mixture that has the highest amount of acetic acid = mixture C.
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what is the area of a parallelogram
Answer:
Step-by-step explanation:
Area of parallelogram= base * height
Answer:
A= L × W
or
A = S × S
Step-by-step explanation:
A parallelogram are shapes with 4 sides. To find its area, we must do the following formula.
(For rectangle, etc...)
Area = Length × Width
A represents Area
L represents Length
(For a square)
Area = Side × Side
A represents Area
S represents Side
Always remember that the answer of a question that is looking for the area of a 2D shape is always squared. (Let x represent the answer and cm as the example of unit of measurement: x cm²)
I hope this helps! I'm sorry if it's wrong or too complicated.
Select the correct answer from each drop-down menu.
Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.
Expression 1: X (Y + Z) = X.Y + X.Z
Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z
The first expression is known as the
law. The second expression is known as the
law.
The first expression X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.
According to the question,
We have the following two expressions:
X (Y + Z) = X.Y + X.Z
X(Y.Z) = (X.Y)Z = X.Y.Z
Now, the distributive property of multiplication states that the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.
For example, 2(5+7) is 2*5+2*7.
The associative property of multiplication states that the result of the multiplication of numbers is same even when the bracket is changed from one number to another.
Hence, the first expression X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.
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According to the Boolean algebra, the first expression X (Y + Z) = X.Y + X.Z uses distributive property of multiplication and
The second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.
Boolean Algebra:
Basically, Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.
And there are three properties in Boolean algebra.
They are, Commutative, associative, and distributive properties.
Given,
Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.
Expression 1: X (Y + Z) = X.Y + X.Z
Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z
Here we need to find the name of the property used by the teacher on those two expression.
While we looking into the question,
We have the give the two expressions:
They are
=> X (Y + Z) = X.Y + X.Z
=> X(Y.Z) = (X.Y)Z = X.Y.Z
When we take the first expression,
X (Y + Z) = X.Y + X.Z
That states that the distributive property of multiplication is used here and the process of the distribution property is the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.
Similarly, when we take the second expression
X(Y.Z) = (X.Y)Z = X.Y.Z
That uses the associative property of multiplication which is the result of the multiplication of numbers is same even when the bracket is changed from one number to another.
Therefore, the first expression X (Y + Z) = X.Y + X.Z uses the distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.
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1. A wife works three days then a day off while his husband works five days then a day off. If the couple has a day-off together today, how many days after will they have another day off together?
2. The weight W of an object above the earth varies inversely as the square of the distance D from the center of the earth. If a man weighs 180 pound on the surface of the earth, what would his weight be at an altitude 1000 miles? Assume the radius of the earth to be 4000 miles
3. Two turtles A and B start at the same time move towards each other at a distance of 150 m. The rate of turtle A is 10 m/s while that B is 20 m/s. A fly flies from one turtle to another at the same time that the turtles start to move toward its each other. The rate of the fly is constant at 100 m/s. determine the total distance traveled by the fly until the two turtles met?
1). 15 days
2). 115.2 pounds.
3). 500 meters
1. To find out when the couple will have another day off together, we need to find the least common multiple (LCM) of their work schedules. The LCM of 3 and 5 is 15, so the couple will have another day off together after 15 days.
2. The weight W of an object above the earth varies inversely as the square of the distance D from the center of the earth.
This means that W = k/D^2, where k is a constant.
To find k, we can plug in the values given in the question: 180 = k/4000^2.
Solving for k gives us k = 180*4000^2 = 2880000000. Now we can plug in the new distance, 4000 + 1000 = 5000 miles, to
find the new weight: W = 2880000000/5000^2 = 115.2 pounds.
3. To find the total distance traveled by the fly, we need to find out how long it takes for the turtles to meet.
The combined rate of the turtles is 10 + 20 = 30 m/s, so it will take them 150/30 = 5 seconds to meet.
The fly travels at a constant rate of 100 m/s, so in 5 seconds it will have traveled 100*5 = 500 meters.
Therefore, the total distance traveled by the fly is 500 meters.
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Single exponential smoothing (SES)
is a forecasting technique that uses a weighted average of past time-series values to forecast the value of the time series in the next period.
The weightage is given to the most recent values in the time series.
What is Simple Exponential Smoothing (SES)?SES is a simple forecasting technique that is easy to implement and can be used with data that has a consistent trend. However, it is not well suited for data that is highly volatile or has a lot of noise.
One of the simplest forecasting techniques is single exponential smoothing (SES). It is a weighted average of past time-series values, where the weightage is given to the most recent values in the time series. This technique is easy to implement and can be used with data that has a consistent trend. However, it is not well suited for data that is highly volatile or has a lot of noise.
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