The equation I = I1 + I2 describes the relationship between I, I1, and I2. R2 * I2 voltage is measured over R2. To find I1 and I2, we need more information about the circuit.
a) The equation that best describes the relationship between I, I1, and I2 is: I = I1 + I2
This equation represents Kirchhoff's current law, which states that the total current flowing into a junction is equal to the sum of the currents flowing out of that junction. In this case, I represents the total current flowing through the circuit, while I1 and I2 represent the currents flowing through different branches or elements in the circuit.
b) To find the voltage measured over R2, we can use Ohm's law, which states that the voltage across a resistor is equal to the product of its resistance and the current flowing through it. In this case, the voltage measured over R2 can be , V2 = R2 * I2
Substituting the given values, we have V2 = 130 Ohm * I2.
c) The given values provide information about the voltage and current, but without the complete circuit diagram, it is not possible to determine the specific values of I1 and I2.
However, once the circuit diagram is available, we can apply Kirchhoff's laws and use the given information to solve for I1 and I2.
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Jean and sally drive toward each other from places that are 445 miles apart. Jean averages 43 mph by Sally averages 46 mph. If they both are driving at 9 AM and at what time would they meet
If they both were driving at 9 AM, Jean and Sally, based on their average driving speeds, would meet at 14:00 hours or 2:00 P.M.
What is the average speed?The average speed is the quotient of the total distance traveled and the time interval.
As a scalar quantity, the average speed is represented by its magnitude.
From the distance, speed, and time formula, we can determine the time when Jeann and Sally will meet.
Time = Distance/Speed
Total distance covered = 445 miles
Jean's average driving speed = 43 mph
Sally's average driving speed = 46 mph
Combined average driving speed = 89 mph
Time used to cover the distance = 5 hours (445/89)
The time they started driving = 9 AM
Time they will meet = 2 PM (9 AM + 5 hours) or 14:00 hours
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A student solved the equation 7 = 3(t - 1) - 2(t - 3) as shown below. Assume there is a value for t that satisfies the equation. Provide a justification for each step of the solution process. LaTeX: 7\:=\:3\left(t-1\right)-2\left(t-3\right)7 = 3 ( t − 1 ) − 2 ( t − 3 ) LaTeX: 7\:=\:3t\:-3-2t\:+67 = 3 t − 3 − 2 t + 6 LaTeX: 7\:=\:t\:+37 = t + 3 Justification: ? like terms
PLEASE ANSWER!!
Answer:
t + 3
Step-by-step explanation:
Calculate the number of latex
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How many rebounds should your team expect to have in 15 missed shots?
It is unlikely that the projected rebounds in 15 shots will actually happen.
Explain about the term probability?A probability is a scaled version of the likelihood or chance that a specific event will take place. Both percentages with values ranging from zero to one and percentages extending from 0% to 100% can be used to describe probabilities.Total shots fired equals 10.
To find that there were 15 shots total.
Consider S to be the likelihood that your team will rebound and miss a shot.
P(S) = Number of rebounds / Total Number of outcomes
P(S) = 7/15
P(S) = 0.46
Consequently, it is unlikely that the projected rebounds in 15 shots will actually happen.
Thus, it is unlikely that the projected rebounds in 15 shots will actually happen.
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The complete question is-
During a basketball game, you record the number of rebounds from missed shots for each team. How many rebounds should your team expect to have in 15 missed shots?
Picture for question is attached.
The following figures show the first two steps of a proof of the pythagorean theorem. which of the following statements about this proof is false?
Answer: C
Step-by-step explanation:
The area of the larger square is a^2 and the area of the smaller square is b^2, so the area is a^2 + b^2, not (a+b)^2.
unit 7 polygons and quadrilaterals homework 3 rectangles
If you are trying to find the missing measures of a rectangle, you should know that all rectangles have four sides, and each side has a length.
In other words, if you have a rectangle, two of the angles must be 90 degrees, and the other two angles must also be 90 degrees. To find the missing measures of a rectangle, you need to use the properties of rectangles.
First, find the length of each side. The length of all sides of a rectangle should be the same. Then, calculate the area of the rectangle. You can do this by multiplying the length of one side with the length of the other side.
Finally, you can use the Pythagorean Theorem to find the missing measures.
The Pythagorean Theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Using this theorem, you can find the length of the hypotenuse of the rectangle.
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Complete Question:
if each quadrilateral is given, then define the steps to find the missing measures a rectangle.
a triangle has the following measures: 2x degrees, 3x degrees, and 22 degrees. find the actual measures of 2x degrees and 3x degrees
Answer:
Step-by-step explanation:
The sum of the angles in a triangle is always 180 degrees. Therefore,
2x + 3x + 22 = 180
Simplifying the equation,
5x = 158
Dividing by 5 on both sides,
x = 31.6
To find the actual measures of 2x and 3x, we substitute the value of x:
2x = 2(31.6) = 63.2 degrees
3x = 3(31.6) = 94.8 degrees
Therefore, the actual measures of 2x and 3x are 63.2 degrees and 94.8 degrees, respectively.
it snowed 14 cm in 5 hours. what is the unit rate
Answer:
2.8cm per 5 hours
Step-by-step explanation:
please help!! 8th grade math
Answer:
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Step-by-step explanation:
6.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
O (-2,1); minimum
O (1, -2); maximum
O (-2,1); maximum
O (1, -2); minimum
Financial mathematics (see picture)
Answer:
i think it's the answer in the pic I have send you okk see and mark me brainliest answer okk thanks
Please help!! I'm super confused
Answer:
Step-by-step explanation:
The top part (is a square)
Area = s^2
Area = 10 * 10
Area = 100
The bottom part is a trapezoid
h = 4
b1= 6
b2 = 10
Area = (b1 + b2) * h / 2
Area = (10 + 6 ) * 4/2
Area = 16 * 4 /2
Area = 32
Total Area = 132
After the bottles are filled, they are placed in boxes of 10 bottles per box. After the bottles are placed in the boxes, several boxes are placed in a crate for shipping to a beauty supply warehouse. The manufacturing company's contract with the beauty supply warehouse states that one box will be randomly selected from a crate. If 2 or more bottles in the selected box are underilled, the entire crate will be rejected and sent back to the manufacturing company. b. The beauty supply warehouse manager is interested in the probability that a crate shipped to the warehouse will be rejected. Assume that the amounts of shampoo in the bottles are independent of each other. i. Define the random variable of interest for the warehouse manager and state how the random variable is distributed. ii. Determine the probability that a crate will be rejected by the warehouse manager. Show your work.
i)The random variable of interest for the warehouse manager is variable as X. The distribution of the random variable X can be described as a binomial distribution .
ii)Since we don't have the specific value for p, we cannot calculate the exact probability. So the probability of a crate being rejected by the warehouse manager.
i)The random variable of interest for the warehouse manager is the number of underfilled bottles in the randomly selected box from a crate. Let's denote this random variable as X.
The distribution of the random variable X can be described as a binomial distribution since we are dealing with a fixed number of trials (number of bottles in a box) and each trial has two possible outcomes (underfilled or not underfilled).
Additionally, the probability of success (getting an underfilled bottle) remains the same for each trial (assuming the amounts of shampoo in the bottles are independent).
ii. To determine the probability that a crate will be rejected, we need to calculate the probability of having 2 or more underfilled bottles in the selected box. Let's assume p represents the probability of an individual bottle being underfilled.
Using the binomial probability formula, the probability of X (number of underfilled bottles) being greater than or equal to 2 can be calculated as:
P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)
To calculate P(X = 0), we have to find the probability of none of the bottles in the selected box being underfilled:
P(X = 0) = \((1 - p)^1^0\)
To calculate P(X = 1), we have to find the probability of exactly one bottle in the selected box being underfilled:
P(X = 1) = 10 * p * \((1 - p)^9\)
Since we don't have the specific value for p, we cannot calculate the exact probability. However, if we are provided with the probability of an individual bottle being underfilled (p), we can substitute it into the formulas and calculate the probability of a crate being rejected by the warehouse manager.
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For linear regression, the model is f_{w,b}(x) = wx + bfw,b(x)=wx+b.
Which are the inputs, or features, that are fed into the model and with which the model is expected to make a prediction?
The inputs or features that are fed into the model and with which the model is expected to make a prediction for the linear regression are x.
Linear regression is a statistical approach to establish a relationship between dependent and independent variables. In linear regression, the model is f_{w,b}(x) = wx + bfw,b(x)=wx+b. The independent variable (x) is the feature that is fed into the model and with which the model is expected to make a prediction.
In the equation f_{w,b}(x) = wx + bfw,b(x)=wx+b, w is the weight of the input feature x, and b is the bias term that makes an adjustment in the output. These parameters w and b are learned through training the model with input-output examples.
The purpose of linear regression is to create a mathematical model that defines the relationship between the input feature x and the output y. The model is then used to predict the outcome for new data points or to understand the relationship between the variables.
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use the quadratic formula to solve the quadratic equation. (enter your answers as a comma-separated list.) x2 8x 17
The solution to the given quadratic equation by using the quadratic formula is x = -4 + i, -4 - i.
The quadratic formula can be used to solve any quadratic equation. It is represented by the formula;
\(x = (-b \± \sqrt{b^2 - 4ac)} / (2a)\)
where x is the variable that we want to solve for, and a, b, and c are coefficients of the quadratic equation. The quadratic equation in this case is;
x² + 8x + 17
Therefore, a is 1, b is 8, and c is 17.
Substituting these values into the quadratic formula, we have;
\(x = (-8 \± \sqrt{8^2 - 4(1)(17))} / (2(1))\)
This simplifies to;
\(x = (-8 \± \sqrt{(64 - 68))} / 2\)
This further simplifies to;
\(x = (-8 \± \sqrt{(-4))} / 2\)
Therefore, the answer is x = (-8 + 2i) / 2, (-8 - 2i) / 2.
Simplifying this equation by factoring 2 in the numerator, we get;
x = -4 + i, -4 - i.
This concludes the solution to the given quadratic equation by using the quadratic formula.
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Urgent Need Help! worth 100 points
the answer to your question is 4 times 6, 4 times 3 + 4 times 3
have a nice day
Answer:
the answer to this math question is
4 times 6, 4 times 3 + 4 times 3
Step-by-step explanation:
Aleks Verfied
Please I need help I’m stuck
Answer:
try 7
Step-by-step explanation:
Answer:
this is tricky b/c they are making the two triangles of different scales but of the same angles.... soooo one is just a bigger copy of the other....
Step-by-step explanation:
Since this is a relation of the two side of each.. we can say the following...
\(\frac{6}{9}\) = \(\frac{4}{x}\) where X = side LA soooo solve for X
x * \(\frac{6}{9}\) = 4 (move the X , to the other side of the '=' sign
x = 4 * \(\frac{9}{6}\) ( yes.. we want to invert the fraction to move it to the other side )
x = \(\frac{36}{6}\)
x = 6
so side LA is 6 :)
Find the 13th geometric sequence 1, 2, 4, …
Answer:
24.
Step-by-step explanation:
The pattern is clearly going up by twos.
So continuing the pattern,
1, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24
1 2 3 4 5 6 7 8 9 10 11 12 13
Please help solve this problem
Answer:
120m/s
Step-by-step explanation:
v-? (speed)
s-5400m(travel)
t-45s(time)
v=s/t
v=5400/45
v=120m/s
difference between linear and projectile motion. Which component will usually remain at a constant velocity? Why?
The difference between the linear and projectile motion is that "Linear-motion" refers to motion of object in a "straight-line", while "projectile-motion" refers to motion of an object that is thrown into air, in a curved path.
In linear motion, the object moves along a straight line, with its velocity and acceleration aligned in the same direction. The object's speed and direction may change, but its motion remains linear.
In projectile motion, the object moves along a curved path under the influence of gravity. The object is launched into the air with an initial velocity, and then gravity causes it to follow a parabolic path until it lands back on the ground. The motion of the object is influenced by both its initial velocity and the force of gravity.
In both linear and projectile motion, the "horizontal-component" of velocity will usually remain constant because there is no external force acting on the object in horizontal direction, and thus no acceleration.
Therefore, the object will continue to move at a constant velocity in the horizontal direction, as long as there is no external force acting on it.
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what is the domain of the function?
what is the range of the function?
is this relation a function?
yes or no
Answer:
no
Step-by-step explanation:
what is (2x to the 4th power y to the 5th power) the third power
Firstly, we need to take each of the exponents inside the bracket and multiply it by 3. This can be done using the exponent law that states: (a^b)^c = a^(b*c)
Therefore, (2x to the 4th power y to the 5th power)^3 = (2^3 x^(4*3) y^(5*3))^3 Next, we can simplify the expression inside the bracket by performing the arithmetic calculations of the exponents:(2^3 x^(4*3) y^(5*3))^3 = (8x^12 y^15)^3 We can expand the expression further by taking each term inside the bracket and raising it to the third power:(8x^12 y^15)^3 = 8^3 x^(12*3) y^(15*3) = 512 x^36 y^45 In summary, (2x to the 4th power y to the 5th power) the third power is equal to 512 x^36 y^45. This can be written in 100 words as:To calculate the third power of (2x to the 4th power y to the 5th power), we need to multiply each of the exponents inside the bracket by 3. This results in the expression (2^3 x^(4*3) y^(5*3))^3.
We can expand this expression by taking each term inside the bracket and raising it to the third power, which yields 512x^36 y^45. Therefore, (2x to the 4th power y to the 5th power) the third power is equal to 512x^36 y^45.
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Raquel builds a model train that has 4 equal-sized rail cars. Each rail car has a passenger section and a cargo section. The cargo section for each rail car is 4 inches long. The total length of the model train is 48 inches. What is the length of the passenger section in each rail car?
Answer:8
Step-by-step explanation:
48/4 = 12
12-4 = 8
A board 10 feet long is cut into three pieces. one piece is 1 foot longer than the shortest piece and 2 feet shorter than the longest piece. how long is each piece?
Answer:
3:2:5
Step-by-step explanation:
x+1:x:x+3
x=2
10-4=6/3=2
Tom sold t-shirts and hats at a festival. He made a $5 profit for each t-shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit of $125, how many t-shirts did he sell?
The total number of t-shirts sold by Tom equals to 17 t-shirt.
What is a profit?Basically, a profit refers to the difference between the revenue that an entity has received from its outputs and the opportunity costs of its inputs.
We need to note that he made a total profit of $125. From here, we will proceed to use that data to solve other sections.
From the total profit of $125, he also made a profit of $40 from selling hats. That means that the T-shirt sales alone gives him a profit of $85 ($125 - $40).
Total quantity of t-shirt sold is computed as follows:
= Total profit from t-shirt / Profit per shirt
= $85 / $5
= 17 t-shirt
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What are the domain and points of discontinuity of y= x-4/x^2+8x-20? What are the x and y intercepts?
Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x.
x-intercept(s): (2.30581496,0)
y-intercept(s): None
Tiles
4V3
332
233
375
Pairs
324
1
V48
1 1 1
354
745
Given:
The expressions are:
\(\sqrt[3]{24},\sqrt{48},\sqrt[3]{54},\sqrt{45}\)
To find:
The simplified form of each expression.
Solution:
We have,
\(\sqrt[3]{24}\)
It can be written as:
\(\sqrt[3]{24}=\sqrt[3]{2\times 2\times 2\times 3}\)
\(\sqrt[3]{24}=2\sqrt[3]{3}\)
Similarly,
\(\sqrt{48}=\sqrt{2\times 2\times 2\times 2\times 3}\)
\(\sqrt{48}=(2\times 2)\sqrt{3}\)
\(\sqrt{48}=4\sqrt{3}\)
And,
\(\sqrt[3]{54}=\sqrt[3]{2\times 3\times 3\times 3}\)
\(\sqrt[3]{54}=3\sqrt[3]{2}\)
In the same way,
\(\sqrt{45}=\sqrt{3\times 3\times 5}\)
\(\sqrt{45}=3\sqrt{5}\)
Therefore, the required pairs are:
\(\sqrt[3]{24}\to 2\sqrt[3]{3}\)
\(\sqrt{48}\to 4\sqrt{3}\)
\(\sqrt[3]{54}\to 3\sqrt[3]{2}\)
\(\sqrt{45}\to 3\sqrt{5}\)
Directions: Beginning at the "Start" box, use the information about the
quadrilateral and the diagram to solve for x. Use the answer from the previous
problem to fill in the box for the next problem. Use the arrows to navigate
through the problems.
START
*
The value of the angles are;
1. x = 5
2.RT = x + 5
3.M = 2x - 5
4.Y = 3x - 30
5.A = 3x - 38
6.T = 4x -38
7.G = -x - 38
How to determine the valuesWe need to know the following;
The opposite angles of quadrilaterals are equalThe sum of angles on a straight line is 180 degreesFrom the information given, we have'
1, 5x + 1 + 124 = 180
collect the like terms, we get;
5x = 180 - 125
5x = 55
Divide by the coefficient
x = 5
2. the diagonals of a rectangle are equal
RT = QS
QS = 2(5) - 5 = 10 - 5 = 5
RT = x + 5
3. 18x - 19 + x - 3 = 180
collect like terms
M = x + x - 5 = 2x - 5
4. 2x- 5 - x - 25
collect like terms
Y = 3x - 30
5. x - 8
(3x - 8) - 30
expand the bracket
A = 3x - 38
6. T = 7x - 3x - 38
collect like terms
T = 4x -38
7. G = 3x - 4x - 38
G = -x - 38
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Above is the question
Answer:
its A
Step-by-step explanation:
asymptotes:=-1 and hole:x=4
Order the following events in terms of likelihood. Start with the least likely event and end with the most likely.*You randomly select an ace from a regular deck of 52 playing cards.*There is a full moon at night.*You roll a die and a 6 appears.*A politician fulfills all his or her campaign promises.*You randomly select the queen of hearts from a regular deck of 52 playing cards.*Someone flies safely from Chicago to New York City, but his or her luggage may or may not have been so lucky.*You randomly select a black card from a regular deck of 52 playing cards.
Starting with the least likely event, the chances of a politician fulfilling all his or her campaign promises can be quite low due to the complexities of politics and the potential for unforeseen circumstances.
Next, while full moons are relatively common, they occur approximately once a month, making it more likely than the politician's scenario but less likely than the other events.
Rolling a die and getting a 6 has a higher likelihood as there is a 1 in 6 chance of rolling a 6 on a fair six-sided die. The safe arrival of a person in New York City from Chicago is more probable than the previous events but still has an element of uncertainty regarding the fate of their luggage.
Randomly selecting an ace from a regular deck of 52 playing cards has a higher probability compared to the previous events, as there are four aces in a deck. The likelihood increases further when randomly selecting the queen of hearts, which is only one specific card out of the 52-card deck.
Finally, selecting a black card from a regular deck has the highest probability among the listed events since there are 26 black cards in the deck, including all the clubs and spades.
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write the trigonometric expression in terms of sine and cosine, and then simplify. csc() − sin() cos()
[cos(x) - sin²(x)] / [sin(x) cos(x)] and this is the simplified form of the given expression in terms of sine and cosine. To rewrite the given trigonometric expression in terms of sine and cosine, we first need to convert the cosecant (csc) function to its reciprocal form.
csc(θ) is the reciprocal of sin(θ), so we can write it as:
csc(θ) = 1/sin(θ)
Now, we can rewrite the expression as:
(1/sin(θ)) - sin(θ) cos(θ)
This expression is already in terms of sine and cosine, so there's no further simplification needed. Your final answer is:
(1/sin(θ)) - sin(θ) cos(θ)
To write the given trigonometric expression in terms of sine and cosine, we can use the identity:
csc(x) = 1/sin(x)
So, csc(x) - sin(x) cos(x) can be written as:
1/sin(x) - sin(x) cos(x)
Now, to simplify this expression, we can multiply the second term by (1/cos(x))*(cos(x)/cos(x)):
1/sin(x) - sin²(x)/cos(x)
Now, to get a common denominator, we can multiply the first term by (cos(x)/cos(x)):
cos(x)/[sin(x) cos(x)] - sin²(x)/cos(x)
Combining the fractions, we get:
[cos(x) - sin²(x)] / [sin(x) cos(x)]
And that is the simplified form of the given expression in terms of sine and cosine.
Learn more about trigonometric expression here: brainly.com/question/11659262
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