If a voltage of 0.5 V (volts) is driving a current of 0.03 A (amps) through a resistor, what is the resistance to the resistor, measured in ohms? Round to the nearest hundredths.
Answer:
To find the resistance of a resistor, you can use the formula R = V / I, where R is the resistance in ohms, V is the voltage in volts, and I is the current in amperes. Using the values provided, we can calculate the resistance as follows:
R = 0.5 V / 0.03 A = 16.67 ohms
Rounded to the nearest hundredths, the resistance is 16.67 ohms.
Joel spends 27 more minutes playing soccer after school on Tuesday than he did on Monday. He still exercises for a total of 60 minutes after school.
What percent of his time exercising after school did Joel spend playing soccer on Tuesday?
Answer:
60-27=33
33/2=16.5
16.5+27=43.5
43.5/60=0.725 or 72.5%
72.5%
Hope this helps
Step-by-step explanation:
Answer:
Joel spent 85, percent of his time exercises after school on Tuesday playing soccer.
Step-by-step explanation:
24+27=51
Joel spent 51 minutes playing soccer after school on Tuesday. He spent a total of 60 minutes exercising.
Solve the augmented matrix by elementary row operations. 9. (4 points) Let A and B be 3 by 3 matrices with det (A) = 3 and det (b) = 5. Find the value of det (AB).
The value of determinant of the matrix det (AB) is 15.
Given matrices A and B are 3 by 3 matrices with
det (A) = 3 and
det (b) = 5.
We need to find the value of det (AB).
Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.
By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].
Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.

The determinant of AB can be calculated as det(AB) = det(A) × det(B)
= 3 × 5
= 15.
Conclusion: The value of det (AB) is 15.
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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)
=> det(AB) = 3 × 5
=> det(AB) = 15.
Hence, the value of det(AB) is 15.
The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:
det(AB) = det(A)det(B).
Given that: det(A) = 3
det(B) = 5
Now, let C = AB be the matrix product. Then,
det(C) = det(AB).
To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.
Given matrices A and B are: Matrix A and B:
[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]
= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].
We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.
det(A) = 3.
Therefore, det(AB) = det(A)det(B)
= 3 × 5
= 15.
Conclusion: Therefore, the value of det(AB) is 15.
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How do you write 400 in scientific notation?
Answer: 4x10^2
Step-by-step explanation:
First try was incorrect Latasha played a game in which she could either lose or gain points each round. At the end of 5 rounds, she had 16 points. After one more round, she had -3 points. Express the change in points in the most recent round as an integer.
The change in points in the most recent round is -19.
To find the change in points in the most recent round, we need to calculate the difference between the points after 5 rounds and the points after one more round.
This formula represents the calculation for finding the change in points. By subtracting the points at the end of the 5th round from the points at the end of the 6th round, we obtain the difference in points for the most recent round.
Points after 5 rounds = 16
Points after 6 rounds = -3
Change in points = Points after 6 rounds - Points after 5 rounds
= (-3) - 16
= -19
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Solve.
−5x+6=−4(2x−1)
x=−14/3
x=−10/13
x=−2/3
Answer:
x=-2/3
Step-by-step explanation:
Please answer this ASAP LINKS WILL BE BANNED !!!
Solve for p.
P+3=p-4/2
A: p= -74
B: p= 74
C: p= 10
D: p= -10
Answer:
p = - 10
Step-by-step explanation:
I hope this helps. Good luck
a weighted coin has a 0.472 probability of landing on heads. if you toss the coin 16 times, what is the probability of getting heads no more than 5 times?
The probability of getting heads no more than 5 times in 16 tosses of a weighted coin with 0.472 probability of landing on heads is 0.6917.
To solve this problem, we need to use the binomial distribution formula, which gives the probability of getting exactly k successes in n independent Bernoulli trials, each with probability of success p.
The formula is:
P(k successes out of n trials) = \((n choose k) * p^k * (1-p)^(n-k)\)
where (n choose k) = n! / (k! * (n-k)!)
In this case, we want to find the probability of getting no more than 5 heads in 16 tosses of a weighted coin with p = 0.472.
We can calculate this by summing up the probabilities of getting 0, 1, 2, 3, 4, or 5 heads:
P(0 or 1 or 2 or 3 or 4 or 5 heads in 16 tosses) = P(0 heads) + P(1 head) + P(2 heads) + P(3 heads) + P(4 heads) + P(5 heads)
Using the binomial distribution formula, we get:
\(P(0 heads) = (16 choose 0) * 0.472^0 * (1-0.472)^(16-0) = 0.0058\)
\(P(1 head) = (16 choose 1) * 0.472^1 * (1-0.472)^(16-1) = 0.0335\)
\(P(2 heads) = (16 choose 2) * 0.472^2 * (1-0.472)^(16-2) = 0.0897\)
\(P(3 heads) = (16 choose 3) * 0.472^3 * (1-0.472)^(16-3) = 0.1567\)
\(P(4 heads) = (16 choose 4) * 0.472^4 * (1-0.472)^(16-4) = 0.2022\)
\(P(5 heads) = (16 choose 5) * 0.472^5 * (1-0.472)^(16-5) = 0.2038\)
Therefore,
P(0 or 1 or 2 or 3 or 4 or 5 heads in 16 tosses) = 0.6917.
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(Chapter 12) For any vectors u and v in V3, (u X v) * u =0
We can see that the statement is not always true for any vectors u and v in V3.
What are the cross product of vectors?The statement is not always true.
The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,
u x v ⊥ u and u x v ⊥ v
However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.
For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,
u x v = <0, 0, 1>
(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0
So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,
u x v = <1, -1, 1>
(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0
So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then
u x v = <0, 1, 0>
(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0
So in this case, the statement is true as well.
However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then
u x v = <1, 0, 1>
(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2
So in this case, the statement is not true.
Therefore, we can see that the statement is not always true for any vectors u and v in V3.
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1) A lotto urn contains 3 balls: R(red), G(green), B(blue). How many 4-draw permutations are there if, after each draw, the ball is returned to the urn? Repeats are necessary since we make more draws than there are balls in the urn, and order is important and RBGB is considered a different draw from BRGB. PERMUTATION with REPETITION.
2) A lotto urn contains 3 balls: R(red), G(green), B(blue). How many 4-draw combinations are there if, after each draw, the ball is returned to the urn? Repeats are necessary since we make more draws than there are balls in the urn, but order is unimportant and RBGB is considered the same draw as BRGB. COMBINATION with REPETITION.
3) A lotto urn contains 7 balls: R(red), O(orange), Y(yellow), G(green), Blue(blue), I(indigo), V(violet). How many 3-draw combinations are there? There are "no repeats" because the balls are not returned after a draw, but order is unimportant because RBG is considered the same draw as BRG. COMBINATION without REPETITION.
The answers to each sub-question are:
1) there are 81, 4-draw permutations.
2) there are 15, 4-draw combinations.
3) there are 35 3-draw combinations.
What are the permutations and combinations?
A permutation is to select an object then arrange it and it cares about the orders while a Combination is about only selecting an object without caring about the orders.
1. For each of the four draws, there are three possible balls that can be drawn (R, G, or B). Since repeats are allowed and order is important, we can use the formula for permutations with repetition:
\(n^r\), where n is the number of options for each draw and r is the number of draws.
In this case, n = 3 and r = 4, so the number of 4-draw permutations is:
3⁴ = 81
Therefore, there are 81 4-draw permutations.
2. For each of the four draws, there are three possible balls that can be drawn (R, G, or B). Since repeats are allowed and order is unimportant, we can use the formula for combinations with repetition:
(n+r-1) choose r, where n is the number of options for each draw and r is the number of draws.
In this case, n = 3 and r = 4, so the number of 4-draw combinations are:
(3+4-1) choose 4 = 6 choose 4 = 15
Therefore, there are 15 4-draw combinations.
3. There are 7 balls in the urn, and we want to choose 3 of them without replacement (no repeats) and without regard to order (order is unimportant). We can use the formula for combinations without repetition:
n choose r, where n is the total number of objects and r is the number we want to choose.
In this case, n = 7 and r = 3, so the number of 3-draw combinations are:
7 choose 3 = (7 x 6 x 5) / (3 x 2 x 1) = 35
Therefore, there are 35 3-draw combinations.
Hence, the answers to each sub-question are:
1) there are 81, 4-draw permutations.
2) there are 15, 4-draw combinations.
3) there are 35 3-draw combinations.
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(sat prep) find the value of x
Answer:
120 degrees
Step-by-step explanation:
RSM boi
but you actually have to get the values of the angles on the other side so
180-70=110
180-50=130
pretty simple from there
Answer:
120 deegress
Step-by-step explanation:
x + y = z
70 + 50 = x
x = 50+70 = 120
Is the relation a function? (0,2) (2,0) (2,2) (3,4) (6,6) *
A. Yes, the relation is a function.
B. No, the relation is not a function.
please explain it's a test
Answer:
B. no, the relation is not a function
Step-by-step explanation:
Someone help me solve this I’m at the edge of giving up
Answer:
I don't know that this answer would be right or wrong
Step-by-step explanation:
So please first check
Given that RSTU is a parallelogram and ST is congruent to TU, explain why RSTU must also be a rhombus.
Given:
RSTU is a parallelogram and ST is congruent to TU.
To find:
Why RSTU must also be a rhombus?
Solution:
We know that the opposite sides of a parallelogram are parallel and congruent.
RSTU is a parallelogram. So,
\(RS\parallel TU\) and \(ST\parallel RU\) [Property of parallelogram] ...(i)
\(RS\cong TU\) and \(ST\cong RU\) [Property of parallelogram] ...(ii)
It is given that,
\(ST\cong TU\) ...(iii)
From (ii) and (iii), we get
\(RS\cong TU\cong ST\cong RU\) ...(iv)
From (i) and (iv), we get RSTU is a rhombus because all sides are congruent and appositive sides are parallel.
A parallelogram with each side equal is known as rhombus.
As for the given parallelogram all the sides are equal, therefore it should be rhombus.
What is parallelogram is rhombus?Parallelogram is a closed shaped quadrilateral polygon in which opposite sides are equal and parallel and opposite angles are equal.
What is rhombus?Rhombus is a closed shaped quadrilateral polygon in which all the sides are equal and opposites sides are parallel also opposite angles are equal.
Given information-
In the given problem \(RSTU\) is a parallelogram.
In the given parallelogram \(ST\) is congruent to \(TU\).
The image of parallelogram is attached below.
For a parallelogram opposite sides are equal. thus,
\(RS=TU\\RU=ST\)
As In the given parallelogram \(ST\) is congruent to \(TU\). Thus,
\(ST=TU\)
Now the side \(ST\) is equal to the side \(RU\) and side \(RS\) is equal to the side \(TU\). Thus,
\(RS=ST=TU=RU\)
All the sides of a rhombus is equal in length. A parallelogram with each side equal is known as rhombus.
As all the sides are equal of the given parallelogram. Thus the given parallelogram is rhombus.
Hence, as for the given parallelogram all the sides are equal, therefore it should be rhombus.
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a. (5x -9) - (2x -7) b. (6x -10) -(2x-8)
Answer:
!!
Step-by-step explanation:
(5x-9)-(2x-7)
(5x-2x)-(9-7)
3x-2
2 / 3
x=2/3 or 0.6666666666666667
describe the graph of the solution
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
If ∠3 and ∠4 are vertical angles, m∠3=6 x+2 , and m ∠4=8 x-14 , find m ∠3 and m∠ 4 . Justify each step.
To find the measures of ∠3 and ∠4, we equate their measures since they are vertical angles. From the given information, m∠3 = 6x + 2 and m∠4 = 8x - 14.
Vertical angles are formed when two lines intersect, and they share a common vertex but have different rays.
These angles are always congruent, meaning they have equal measures.
Given that ∠3 and ∠4 are vertical angles, we can set up the equation m∠3 = m∠4 to find their measures.
Substituting the given expressions for the measures of ∠3 and ∠4, we have 6x + 2 = 8x - 14.
To solve for x, we can isolate the variable terms on one side of the equation.
Subtracting 6x from both sides, we get 2 = 2x - 14. Adding 14 to both sides, we have 16 = 2x.
Dividing both sides by 2, we find x = 8.
Now that we know the value of x, we can substitute it back into the expressions for ∠3 and ∠4.
Thus, m∠3 = 6(8) + 2 = 50 and m∠4 = 8(8) - 14 = 46.
Therefore, the measure of ∠3 is 50 and the measure of ∠4 is 46.
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What is -(-2.5)?
This thing is making me type more words so there.
Answer: 2.5
Step-by-step explanation:
A negative of a negative is a positive.
Answer:
2.5
Step-by-step explanation:
Just make everything inside the parentheses opposite of what it is
-2.5 becomes 2.5 because double negative
-(1/x+3) +4
Horizontal Shift direction:
Horizontal shift number:
Vertical Shift direction:
Vertical Shift number:
Shape:
9514 1404 393
Answer:
left 3 unitsup 4 unitsshape: lower left imageStep-by-step explanation:
For a parent function f(x), the transformations ...
g(x) = a×f(x -h) +k
cause ...
vertical expansion by 'a', reflection over x-axis if negativeright shift by 'h'up shift by 'k'Here, we have parent function f(x) = 1/x with a=-1, h=-3, k=4. Then the transformations are ...
horizontal shift left 3 units
vertical shift up 4 units
reflection over x-axis, so curves are above-left and below-right of the reference point (Note that the reflection is done before the translation.)
Lizet bought a bag of gummy bears and ate one-third of them. The next day, she ate 16 more gummy bears. If she ate a total of 37 gummy bears, how many were originally in the bag?
Answer:
im trying to figure out the same thing
Step-by-step explanation:
Why can you use Linear Pairs and Vertical Angles to prove lines are parallel?
Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
If the legs of an isosceles right triangle have a length of 15 StartRoot 2 EndRoot ft, what is the length of the hypotenuse? 7.5 feet feet feet 30 feet
Answer:
The length of the hypotenuse is 30 feet
Step-by-step explanation:
Here, we are to calculate the length of the hypotenuse of an iscosceles right triangle.
For the triangle to be isosceles, it means that the opposite and the adjacent are equal in length.
Now, to calculate the value of the hypotenuse, we make use of the Pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Mathematically;
let’s say the hypotenuse is length h feet
h^2 = {15√(2)}^2 + {15√(2)}^2
h^2 = (225 * 2) + (225 * 2)
h^2 = 450 + 450
h^2 = 900
h = √(900)
h = 30 feet
Answer:
30 feet
Step-by-step explanation:
find the x and y intercepts of the line calculator
The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).
To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.
Substitute 0 for y in the equation.0 = 3x - 1
Add 1 to both sides1 = 3x
Divide both sides by 3x = 1/3
The x-intercept of the line is (1/3, 0).
To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.
Substitute 0 for x in the equation.y = 3(0) - 1y = -1
The y-intercept of the line is (0, -1).
Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).
Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.
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(a) find three positive numbers whose product is 64 and whose sum is minimal. (enter your answers as a comma-separated list.) (b) find three positive numbers whose sum is 27 and whose product is maximal. (enter your answers as a comma-separated list.)
a) 2,4,8 b) 1,3,9
A has a total sum of 16, and B has a total sum of 13.
A 95% confidence interval obtained from a sample of 100 outpatients for the true population mean normal mean systolic blood pressure is given by (114 mmHG, 120 mmHG). Provide a correct interpretation of this interval. Can you think of other interpretations that would also be correct?
This confidence interval came from a single sample, would we get the same interval if we obtained a different set of 100 patients? What does this imply about your interpretation of the given interval?
If we wanted a 99% confidence interval instead, can you tell whether it would be narrower or wider? Can you tell by how much?
The 95% confidence interval interpretation is as follows:
The 95% confidence interval means that we can be 95% confident that the true population mean systolic blood pressure falls within the range (114 mmHg, 120 mmHg).
However, it is important to note that the confidence interval does not tell us with certainty where the true population mean systolic blood pressure lies, only where it is likely to be.
If we obtained a different set of 100 patients, we would likely obtain a different confidence interval. This is because the sample mean and standard deviation used to compute the interval would be different. However, if the new sample is still a representative sample of the same population, we would expect the confidence interval to be similar in width and location.
If we wanted a 99% confidence interval, the interval would be wider. This is because a higher confidence level requires a wider interval to be able to capture the true population mean with a higher degree of confidence.
The exact width of the interval would depend on the sample size and standard deviation used to compute it.
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Please help LOL :) I need help ASAP
Answer:
5,000
Step-by-step explanation:
length x width x height
4 x 50 x 25 = 5,000
Answer:
well what I learned is
the volume of the cube is
l × b × h ( length × breath × height)
Step-by-step explanation:
solution
the volume of the cube is : l × b × h
= 4m × 50m × 25m
= 5000m
A student wants to learn how to spell 200 words on a list. The student learned how to spell the first 25 words on the list at a rate of 5 words per day. At this rate, how many days will it take for the student to learn how to spell the remaining words on the list
A. 14
B. 15
C. 35
D. 45
Equation in slope intercept form
y=mx+by=5x+25Now
5x+25=2005x=175x=175/5x=35Please help asap
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve five sixths times c minus 1 equals 1 plus five sixths times c.
Infinite solutions
No solution
c equals five sixths
c equals twelve tenths
Answer:
No solution!
Step-by-step explanation:
I just took the quiz and got 100%
Can someone help me?
Answer:
Step-by-step explanation:
See attached image.
a manufacturing production line breaks down two times a week on average. what is the probability that the interarrival times between breakdown will be less than 2 days?
The probability that there will be less than two days between manufacturing production line outages is approximately 0.553, or 55.3%.
We need to make some assumptions in order to calculate the probability that the time intervals between manufacturing production line breakdowns will be shorter than two days. Assume that the intervals between breakdowns have an exponential distribution with a mean of 3.5 days (1/2 times per week).
The probability that an interarrival time is fewer than two days can be calculated using the exponential distribution formula as follows:
P(X < 2) = 1 - e(-2/3.5)
where "X" stands for the duration in between breakdowns.
When we condense the expression, we get:
P(X < 2) = 0.553
Therefore, The probability that there will be less than two days between manufacturing production line outages is approximately 0.553, or 55.3%.
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