The number of significant digits to report in the answer is always the least number of significant figures that can be found in the question.
What are significant figures?The term significant figures refers to the non zero digits in a number . It is those numbers that can be assigned a value in any string of digits. In mathematics, we often carry out operations such as addition, subtraction, division and multiplication.
The number of significant digits to report in the answer is always the least number of significant figures that can be found in the question.
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Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. [ 1 0 0]
[0 1 0]
[0 0 1]
[ 1 -5 -4]
[0 0 0]
[0 0 1]
[ 1 -5 -9]
[0 1 1]
[0 0 0]
[ 1 0 0]
[0 1 0]
[0 11 0]
[ 1 -2 5]
[0 1 0]
[0 0 0]
[ 1 8 0]
[0 1 0]
[0 0 0]
The matrices [ 1 0 0] [0 1 0] [0 0 1] and [ 1 -5 -4] [0 0 1] [ 1 -5 -9] are in row-echelon form.
A matrix is in row-echelon form if it satisfies the following conditions:
1. All rows consisting entirely of zeros are at the bottom.
2. In each nonzero row, the first nonzero element, called the leading coefficient, is to the right of the leading coefficient of the row above it.
3. Any rows consisting entirely of zeros are at the bottom.
In the given options, the matrices [ 1 0 0] [0 1 0] [0 0 1] satisfy all the conditions of row-echelon form. The first three matrices are diagonal matrices with leading coefficients equal to 1 and zeros in the appropriate positions.
The matrix [ 1 -5 -4] [0 0 1] [ 1 -5 -9] also satisfies the conditions of row-echelon form. It has leading coefficients of 1 in each row, and the leading coefficient of the second row is to the right of the leading coefficient of the first row.
The other matrices in the given options do not meet the conditions of row-echelon form. They either have nonzero elements above the leading coefficient or rows consisting entirely of zeros in the middle or top rows.
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An icecream shop has 10 flavors. One can choose 4 different
flavors. What is the total number of possible flavor
combinations?
a.
252
b.
462
c.
120
d.
330
e.
210
2.
An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.
In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.
Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors
.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).
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which graph represents the peicewise function ?
Graph option B is the correct answer.
What is graphical representation?Graphical representation refers to the use of charts and graphs to visually display, analyse, clarify, and interpret numerical data, functions, and other qualitative structures.
Given are function,
y = x+1 ≤0 and y = 3x
The best demonstration of these functions can be seen in graph 2.
Hence, Graph option B is the correct answer.
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My answer is B im sure im wrong ;-;
Answer:
12.56
Step-by-step explanation:
find the circumference of the circle : 2πr
C=2(12)(3.14)
C=75.36
the length of the arc is: arc length will be (60/360) one 1/6 of the total circumference.
(60/360)(75.36)= 12.56
find the value of x whats the value of x in the image shown
Answer:
S=540
140+33+x+75+x+2x=540
173+x+75+x+2x=540
x+75+x+2x=367
x+x+2x=292
4x=292
x=73
2x=146
answer please using the screen shot listed. For calc
The left right hand derivative is 3.
The left hand derivative is 2.
The function is not differentiable at x = 1.
When x < 1,
given that the function is, f(x) = 2x² - 2x - 1
Differentiating with respect to 'x' we get, f'(x) = 4x - 2
When x \(\geq\) 1,
given the function is, f(x) = 3x - 3
Differentiating with respect to 'x', f'(x) = 3
Now, left hand derivative,
f'(1 -) = (4x - 2) at 1 = 4*1 - 2 = 4 - 2 = 2
f'(1+) = 3
Since, left hand derivative and right hand derivative for given function at x = 1 is not equal, so the function is not differentiable at x = 1.
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whats -12(-36 = i have to pass math class, if i dont im going to fail
Answer:
432
Step-by-step explanation:
-12(-36) = 432
find the value of m if 3m/5+m/2=4/1+2/5
Answer: m = 3.89
Step-by-step explanation:
(3m/5)+(m/2) =(4/1)+(2/5)
= (taking LCM) (6m+5m)/10 = (20+1)/5
or, 11m/10 = 21/5
or, 55m = 210
or, m = 210/55
so, m = 3.89
if there is an 84% chance of an event happening in an hour, what is the probability that it happens in half an hour?
The probability of an event happening in half an hour cannot be determined simply by multiplying or dividing the probability of the event happening in an hour by a factor of 2.
Probabilities are not linear in that way. The probability of an event happening in half an hour would depend on the specific details of the event and the underlying probability distribution.
The probability of an event happening in half an hour, given an 84% chance of it happening in an hour, cannot be determined without additional information. The probability of an event occurring in half an hour would depend on the specific circumstances of the event and how the 84% probability was determined.
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if there is an 84% chance of an event happening in an hour, then the probability that it happens in half an hour will be 84% = 0.84.
One cannot easily calculate the likelihood of an event occurring in half an hour by multiplying or dividing the chance of the event occurring in an hour by a factor of 2.
In that sense, probabilities are not linear. The likelihood of an event occurring in half an hour is determined by the event's specifics and the underlying probability distribution.
Without further information, the likelihood of an event occurring in half an hour given an 84% chance of occurring in an hour cannot be computed. The likelihood of an event occurring in half an hour is influenced on the event's unique circumstances and how the 84% probability was calculated.
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Mrs. Giavis has 26 marbles in a bag. She has 13 blue marbles, 10 red marbles, and 3 yellow marbles. What is the probably that Mrs. Giavis will pick a blue marble, not replace it, and then randomly pick a red marble?
Given:
Total number of marbles = 26
Number of blue marbles = 13
Number of red marbles = 10
Number of yellow marbles = 3
To find:
The probability of getting a blue marble then a red marble (without replacement).
Solution:
Total number of marbles = 26
Number of blue marbles = 13
Probability of getting a blue marble is first draw is:
\(P(Blue)=\dfrac{\text{Number of blue marbles}}{\text{Total number of marbles}}\)
\(P(Blue)=\dfrac{13}{26}\)
\(P(Blue)=\dfrac{1}{2}\)
After drawing 1 marble, the remaining number of marbles in the bag is 25.
Probability of getting a red marble is second draw is:
\(P(Red)=\dfrac{\text{Number of red marbles}}{\text{Remaining number of marbles}}\)
\(P(Red)=\dfrac{10}{25}\)
\(P(Red)=\dfrac{2}{5}\)
Now the probability of getting a blue marble then a red marble (without replacement) is:
\(P(\text{Blue then red})=P(Blue)\times P(Red)\)
\(P(\text{Blue then red})=\dfrac{1}{2}\times \dfrac{2}{5}\)
\(P(\text{Blue then red})=\dfrac{1}{5}\)
Therefore, the probability of getting a blue marble then a red marble (without replacement) is \(\dfrac{1}{5}\).
An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
Rate of plane 735 km/hr
Rate of wind 65 km/hr
Step-by-step explanation:
Calculation to determine the rate of the plane in still air
Let Va represent the velocity of the airplane
Let Vw represent the velocity of the wind
When flying with the wind:
(Va+Vw)*(6 hours) = 4800
6Va + 6Vw = 4800
6Vw = 4800 - 6Va
Vw=4800/6-Va
Vw = 800 - Va
When flying against the wind:
(Va-Vw)*(6 hours) = 4020 km
6Va - 6Vw = 4020
Substitute 800-Va for Vw and solve for Va:
6Va - 6(800-Va) = 4020
6Va -4800 + 6Va = 4020
12Va = 8820
Va=8820/12
Va = 735 km/hr
Therefore the rate of the plane in still air is 735 km/hr
Calculation to determine the rate of the wind
Rate of wind:
Vw = 800 - Va
Vw= 800 -735
Vw= 65 km/hr
Therefore the rate of the wind is 65 km/hr
What is the explicit formula for the arithmetic sequence?
an = 1.2 + (n - 1)1.5 an = 1.5 + (n − 1)1.2
an = 1.5+ (n - 1)3.9
an = 3.9+(n-1)1.5
Answer:
an = 1.2 + (n - 1) 1.5
Step-by-step explanation: opt A on edg
Eighth grade
What is the surface area?
1 m
1 m
1 m
square meters
Answer:
If those are the dimensions the surface area is 6 meters
Step-by-step explanation:
cubes have six sides and each side is one unit
Lucy runs 6 miles in 55 minutes. At the same rate, how many miles would she run in 44 minutes
Please help bro im stuck on this for hours, ill give u so much points
HAPPY NEW YEAR plz five me the right answer.
Answer:
It's the second one.
Step-by-step explanation:
there is a 3 digit number the second digit is 2 times as big as the third digit while the first digit is three less than the second digit what is the number
Answer:
If it is 1, the number is 141
If it is 2, the number is 582.
Step-by-step explanation:
For the second digit to be 4 times the third digit, the third digit, the third digit must be 1 or 2.
To select 10 students our of the class of 40 students, 40 names are placed in a hat and 10 names are drawn out of the hat. what type of sample is this?
In selecting 10 students out of the class of 40 students, if 40 names are placed in a hat and 10 names are drawn out of the hat, the type of sample is:
a random sampling.
Random sampling is a type of sampling method where each member of the population has an equal chance of being selected.
In this case, the population is the class of 40 students and the sample size is 10. By randomly selecting 10 names out of a hat, each student has an equal chance of being chosen for the sample.
This ensures that the sample is representative of the entire population, without any bias.
Random sampling is a widely used method for selecting a representative sample from a larger population.
It is important to use random sampling when conducting research or surveys in order to ensure that the results are reliable and accurate.
Random sampling helps to eliminate any potential bias that might be present in the sample if it was chosen through some other method. This is why it is important to use random sampling when selecting a sample from a larger population.
Complete Question:
"To select 10 students out of the class of 40 students, 40 names are placed in a hat and 10 names are drawn out of the hat. what type of sample is this?"
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five people walk into a movie theater and look for empty seats in which to sit. what is the number of ways the people can be seated if there are 8 empty seats?
There are 8,640 ways the five people can be seated in the eight empty seats.
To determine the number of ways the five people can be seated in eight empty seats, we can use the concept of permutations.
Since the order in which the people are seated matters, we need to calculate the number of permutations of five people taken from eight seats.
The formula for permutations is given by:
P(n, r) = n! / (n - r)!
where n represents the total number of items and r represents the number of items taken at a time.
In this case, we have 8 empty seats (n) and want to seat 5 people (r). Therefore, we can calculate the number of ways as:
P(8, 5) = 8! / (8 - 5)!
= 8! / 3!
= (8 * 7 * 6 * 5 * 4 * 3!) / 3!
= 8 * 7 * 6 * 5 * 4
= 8,640
Hence, there are 8,640 ways the five people can be seated in the eight empty seats.
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There are 1,275 people trying out for a show. The director needs to put people in 5 waiting rooms. If each room has the same number of people, how many will be in each room?
Answer:
255
Step-by-step explanation:
1275/ 5 = 255 people per room
on the first day of a measles outbreak at a school, 5 students were identified to have the measles. each day for the following two weeks, the number of new cases doubled from those identified with the disease the day prior. how many students are identified to have measles in all at the end of the 6th day of the outbreak?
160 students are identified to have measles in all at the end of the 6th day of the outbreak.
On the first day of a measles outbreak at a school, 5 students were identified to have the measles. Each day for the following two weeks, the number of new cases doubled from those identified with the disease the day prior. Here is the calculation below:
Number of cases of measles on the first day of outbreak = 5
Total number of cases of measles on day 2 = 5 x 2 = 10
Total number of cases of measles on day 3 = 10 x 2 = 20.
Total number of cases of measles on day 4 = 20 x 2 = 40
Total number of cases of measles on day 5 = 40 x 2 = 80
Total number of cases of measles on day 6 = 80 x 2 = 160
Therefore, 160 students are identified to have measles in all at the end of the 6th day of the outbreak.
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Which is an equation?
А
22 < 3 + 5
B
m = 22 – 14
С
18 = 2 = 6
D
99 +r
783 times 42 fvvvvvdskjgfgehjck random letters needs to be 20 long
Answer:
cv 454546
Step-by-step explanation:
ZCCVZv dD
Need help with this question. Thanks
Answer:
C
Step-by-step explanation:
-18x+2y>=-13
2y>= -13+18x
y>= -6.5+9x
1/2x+1/2x+x+1
I got to x+x+1 (if that's even right)
but how do you solve the rest?
The value of the expression ( 1/2 )x + ( 1/2 )x + x + 1 is 2x + 1.
A variable, a number, or a mix of numbers, operations, and numbers symbols make up an expression. Two expressions joined by an equal sign form an equation.
A formula called an equation uses the equals symbol (=) to denote the equality of two expressions.
Consider the expression,
1/2x + 1/2x + x + 1
Taking common out,
( 1/2 )x + ( 1/2 )x + x + 1 = ( 1/2) × [ x + x ] + x + 1
( 1/2 )x + ( 1/2 )x + x + 1 = (1/2x) × 2 + x + 1
( 1/2 )x + ( 1/2 )x + x + 1 = x + x + 1
( 1/2 )x + ( 1/2 )x + x + 1 = 2x + 1
Therefore, the value of ( 1/2 )x + ( 1/2 )x + x + 1 is 2x + 1.
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1.) Consider the parametric equations below.
x = t2 − 2, y = t + 1, −3 ≤ t ≤ 3
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for −2 ≤ y ≤ 4.
2.) Consider the following.
x = et − 8, y = e2t
(a) Eliminate the parameter to find a Cartesian equation of the curve.
3.) Consider the parametric equations below.
x = 1 + t, y = 5 − 4t, −2 ≤ t ≤ 3
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for -1 ≤ x ≤ 4
The Cartesian equation of the curve is y = -4x + 9 for -1 ≤ x ≤ 4.
To eliminate the parameter t, we can isolate t in the equation x = t^2 - 2 and substitute it into the equation for y. This gives us:
y = t + 1
t = x + 2
y = x + 3
So the Cartesian equation of the curve is y = x + 3 for -2 ≤ y ≤ 4.
We can eliminate t by taking the natural logarithm of both x and y. This gives us:
ln x = t - 8
ln y = 2t
Solving for t in the first equation and substituting it into the second equation, we get:
t = ln(x) + 8
y = e^(2ln(x)+16) = x^2e^16
So the Cartesian equation of the curve is y = x^2e^16.
To eliminate t, we can again isolate it in the equation for x and substitute it into the equation for y. This gives us:
x = t + 1
t = x - 1
y = 5 - 4(x - 1) = -4x + 9
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The Cartesian equation of the curve is y = 1 - 4x, for -1 ≤ x ≤ 4.
To eliminate the parameter t, we can solve for t in terms of x and substitute it into the equation for y:
t = ±√(x + 2)
y = t + 1 = ±√(x + 2) + 1
Squaring both sides and simplifying, we get:
(x + 2) = (y - 1)²
So the Cartesian equation of the curve is:
x = (y - 1)² - 2, for -2 ≤ y ≤ 4.
To eliminate the parameter t, we can take the natural logarithm of both sides of the equation for y:
ln y = 2 ln e + t ln e = 2 ln e + ln x
ln y = ln (xe²)
y = xe²
So the Cartesian equation of the curve is:
y = x^2e^2.
To eliminate the parameter t, we can solve for t in terms of x and substitute it into the equation for y:
t = 1 + x
y = 5 - 4t = 1 - 4x
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Mateo plays on his school basketball team. From past history, he knows that his probability of making a basket on a free throw is 0.8. Suppose he wants to create a simulation using random numbers to estimate the probability of making at least 3 baskets on his next 5 free throw attempts. Which of the following assignments of the digits 0 to 9 could be used for the simulation?
A) Let the even digits represent making a basket and the odd digits represent not making a basket
B) Let the digits 0 and 1 represent making a basket and the digits from 2 to represent not making a basket.
C) Let the digits from 0 to 3 represent making a basket and the digits from 4 to 9 represent not making a basket
D) Let the digits from 0 to 6 represent making a basket and the digits from 7 to 9 represent not making a basket.
E) Let the digits from 0 to 7 represent making a basket and the digits 8 and 9 represent not making a basket.
Answer:
e
Step-by-step explanation:
Roger is training for the upcoming track season and records the number of miles that he runs each day for 20 days: 2.5, 0.5, 3.5, 4, 1.5, 5, 2, 2.5, 0.5, 4, 4.5, 3, 1.5, 1, 0.5, 2.5, 3, 5, 2.5, 0.5, 4, 4.5, 2, 4 which dotplot displays the data correctly? a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0.5 to 5 in increments of 0.5. 0.5, 4; 1, 1; 1.5, 2; 2, 2; 2.5, 3; 3, 2; 3.5, 0; 4, 3; 4.5, 2; 5, 1. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 3.5. 0, 4; 2.5, 3; 4, 3; 1.5, 2; 2, 2; 3, 2; 4.3, 2; 1, 2; 5, 1; 3.5, 0. a dotplot titled roger apostrophe s training. a number line labeled miles run goes from 0 to 5. 0, 4; 1, 1; 1.5, 2; 2, 2; 2.5; 3, 3, 2; 4, 3; 4.5, 2; 5, 1.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on.
The dotplot that displays the data correctly is the one titled "Roger's Training" with a number line labeled "Miles Run" that goes from 0.5 to 5 in increments of 0.5. The dotplot should have the following data points:
0.5, 4
1, 1
1.5, 2
2, 2
2.5, 3
3, 2
3.5, 0
4, 3
4.5, 2
5, 1
This dotplot accurately represents the number of miles Roger ran each day over a 20-day period. Each dot represents a data point from the given list of miles run. The number line indicates the range of miles run, starting from 0.5 and ending at 5, with increments of 0.5.
By examining the dotplot, you can see the frequency and distribution of the miles run by Roger. For example, there are 4 instances where Roger ran 0.5 miles, 3 instances where he ran 4 miles, and so on. This visual representation allows you to easily interpret the data and observe any patterns or trends in Roger's training.
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please help!!! i need help asap
Choose the correct simplification of the expression −5x2(4x − 6x2 − 3). 30x4 − 20x3 15x2 −11x4 − x3 − 8x2 −30x4 20x3 − 15x2 30x4 20x3 15x2.
Answer:
30 x^4 - 20 x^3 + 15 x^2 is the only valid one however it's not the best simplification.
Step-by-step explanation:
Simplify the following:
-5 x^2 (-6 x^2 + 4 x - 3)
Hint: Factor a minus sign out of -6 x^2 + 4 x - 3.
Factor -1 out of -6 x^2 + 4 x - 3:
-5 x^2×(-(6 x^2 - 4 x + 3))
Hint: Multiply -5 and -1 together.
-5 (-1) = 5:
Answer: 5 x^2 (6 x^2 - 4 x + 3)
Answer:
30 x^4 - 20 x^3 + 15 x^2
Step-by-step explanation: