Answer:
1.35
Step-by-step explanation:
what is the slope of a line that is perpendicular to the line with equation y+-7/6x=2
Answer:
i don't understand what is this
Step-by-step explanation:
:(((((((((((((((
How many times does the line y=-1 touch the graph? (Ensure to draw your line on the graph)
Answer:
twice
Step-by-step explanation:
y = - 1 is a horizontal line parallel to the x- axis and passing through all points with a y- coordinate of - 1
Drawing this line on the graph, from (0, - 1 ) we can see that it will intersect the graph at 2 places between (0, 0 ) and (2, - 2 ) and between (2, - 2 ) and (4, 0 )
a score of x = 70 on an exam with µ = 82 and σ = 8, or a score of x = 60 on an exam with µ = 72 and σ = 12?
A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.
To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:
z = (70 - 82) / 8 = -1.5
For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:
z = (60 - 72) / 12 = -1.0
The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.
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Rotational motion with a constant nonzero acceleration is not uncommon in the world around us. For instance, many machines have spinning parts. When the machine is turned on or off, the spinning parts tend to change the rate of their rotation with virtually constant angular acceleration. Many introductory problems in rotational kinematics involve motion of a particle with constant, nonzero angular acceleration. The kinematic equations for such motion can be written as
\theta (t) = \theta_0 +\omega_0t + \frac{1}{2}\alpha t^2
and
\omega (t) = \omega_0 + \alpha t.
Here, the symbols are defined as follows:
theta(t)is the angular position of the particle at timet.
theta_0is the initial angular position of the particle.
omega(t)is the angular velocity of the particle at timet.
omega_0is the initial angular velocity of the particle.
alphais the angular acceleration of the particle.
tis the time that has elapsed since the particle was located at its initial position.
The given question describes rotational motion with a constant nonzero acceleration and introduces the kinematic equations that govern this type of motion. The symbols used in the equations are defined as follows:
- θ(t): Angular position of the particle at time t.
- θ₀: Initial angular position of the particle.
- ω(t): Angular velocity of the particle at time t.
- ω₀: Initial angular velocity of the particle.
- α: Angular acceleration of the particle.
- t: Time elapsed since the particle was located at its initial position.
The first equation, θ(t) = θ₀ + ω₀t + (1/2)αt², relates the angular position of the particle at a given time to its initial angular position, initial angular velocity, angular acceleration, and the time elapsed. It is similar to the equation of linear motion, where angular quantities replace linear quantities.
The second equation, ω(t) = ω₀ + αt, describes the relationship between the angular velocity of the particle at a given time and its initial angular velocity, angular acceleration, and elapsed time. It indicates that the angular velocity changes linearly with time in the presence of constant angular acceleration.
These kinematic equations allow us to calculate the angular position and angular velocity of a particle undergoing rotational motion with constant, nonzero angular acceleration at any given time.
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if the number of hot lunches sold at school this week was 1,350 and the relative frequency on friday was 0.22, how many lunches were sold on friday?
296 hot lunches were sold on Friday.
The number of hot lunches sold on Friday can be calculated by multiplying the total number of hot lunches by the relative frequency on Friday:
Hot lunches sold on Friday = 1,350 * 0.22 = 296
What is Relative frequency ?Relative frequency is a measure of the number of times an event occurs in a sample, expressed as a proportion of the total number of events. To find the number of hot lunches sold on Friday, we multiply the total number of hot lunches sold in the week by the relative frequency of Friday. This gives us the number of hot lunches sold on Friday, which is 296 in this case. Understanding relative frequency is important in statistics as it helps to summarize data and understand the distribution of events.
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Are the expressions equivalent? 10(x + 2); 10x + 5
Answer: yes, indeed it is i forgot how it is but it is
Answer my question please
Answer:
Lol where the answer
Step-by-step explanation:
Lucy is saving money to buy a game. The game costs $21, and so far she has saved one-third of this cost. How much money has Lucy saved?
Answer:
$7
Step-by-step explanation:
just did 21 divided by three since it says she has saved one third of the $21.
Step-by-step explanation:
one third of $21 is $7 this is your answer
The ratio of green apples to red apples is 3 to 7. Which combination of green apples to red apples could be used?
Answer:
3 green apples and 7 red apples.
Step-by-step explanation:
1. Start with the ratio of green apples to red apples, which is 3 to 7.
2. Multiply 3 (the number of green apples) by any number to get a number that is divisible by 7 (the number of red apples).
3. In this case, multiplying 3 by 2 gives 6, which is divisible by 7.
4. Since 6 is divisible by 7, that means that the solution is 3 green apples and 7 red apples.
Is the number 1 prime? Explain why or why not.
Please explain why.
1 can only be divided by one other integer except1, hence it is not a prime number.
The reason why 1 is not a prime number.Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.
Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.
Based on the explanation above, we can then conclude that 1 is not a prime number.
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Which expression best estimates 6 and three-fourths divided by 1 and two-thirds?
A) 7 divided by 2
B) 6 divided by 1
C) 8 divided by 3
D) 3 divided by 2
The expression that best estimates 6 3/4 divided by 1 2/3 is 7/2. 6 3/4 (or 6.75) divided by 1 2/3 (or 1.66...) comes out to 4 1/20 (or 4.05). The closest value to this in the options available is 7/2 (or 3.5). This answer is only .55 away from the correct value, while the rest of the options are far less close.
Answer:
7/2 or
7 dived by 2
Step-by-step explanation:
bruh A
Point A is mapped to point of (-1,4) (x-4,y+1) following a reflection over y = 4.What are the coordinates of A?
Transformations
We are given the coordinates of point A=(-1,4).
A transformation (x-4,y+1) is applied. This means the x-coordinate is subtracted 4 and the y-coordinate is added 1 to get the point A' = (-1-4,4+1) = (-5, 5)
Now it's required to reflect A' over y=4
The vertical distance from the point to y=4 is 5-4 = 1.
Thus, we subtract 2*1 = 2 to the y-coordinate to get A'' = (-5,5-2) = (-5,3)
The final coordinates of the original point are (-5,3)
Jason has 48 muffins, which he needs to box up into dozens. How many boxes does he need?
The procedure used to make insulin in bacteria can also be used to synthesize the biological materials.think of a chemical or material inside the human body that could be synthesized within bacteria.what would be the potential benefits of this process?what would be the potential drawbacks?
The human growth hormone (HGH) can be synthesized inside a bacteria.
The potential draw back is concerns about safety of the product while the advantage is less dependence on human sources.
What is HCG?Bacteria can be engineered to produce large quantities of HGH, which could help meet the growing demand for this hormone. By producing HGH in bacteria, human donors are no longer required as a source, which allays ethical dilemmas and potential dangers related to acquiring HGH from human tissue.
When bacteria are used for synthesis, there is a chance for contamination or the presence of bacterial byproducts, which could cause safety issues and call for rigorous quality control procedures.
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What value(s) of x will make x2 = 81 true?
Yo have to determine the value of x that makes the following statement correct:
\(x^2=81\)To determine wich values are correct you have to replace the values in the formula and see the result:
For x=9
\(9^2=9\cdot9=81\)For x=40.5
\(40.5^2=40.5\cdot40.5=1640.25\)For x=-40.5
\((-40.5)^2=(-40.5)(-40.5)=1640.25\)For x=-9
\((-9)^2=(-9)\cdot(-9)=81\)For x=3
\(3^2=3\cdot3=9\)For the values 9 and -9 is x²=81 true. The correct answer is C
The product of five and a number, increased by 9 is equal to fifteen less than three times then
number. Write an equation, solve, and find the number.
Answer:
x = -12
Step-by-step explanation:
Let x be the number.
The product of 5 and x increased by 9 is equal to 15 less than 3 times x.
5x + 9 = 3x - 15.
We can isolate x, getting (5-3)x = -15-9
Then we can solve:
2x = -24
x = -12.
The required number is -12.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, The product of five and a number, increased by 9 is equal to fifteen less than three times then number.
Let x be the number.
Establishing the equation,
5x + 9 = 3x - 15.
(5-3)x = -15-9
Then we can solve:
2x = -24
x = -12.
Hence, the number is -12
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-4>y+2>-10
qwdasdasddddddddddddddddddddddddddddddd
If you are looking to solve the inequality for y:
_____________________________________
Inequality Form:
\(-12 < y < -6\)
Interval Notation:
\((-12, -6)\)
Hope this helps!
the boxplot shows the fuel economy ratings for 67 subcompact cars with the same model year. some summary statistics are also provided. the extreme outlier is an electric car whose electricity usage is equivalent to 112 miles per gallon. if that electric car is removed from the data set, how will the standard deviation be affected? the iqr?
Removing the electric car from the data set will reduce the standard deviation as the extreme value of 112 mpg is taken out, resulting in a decrease in the spread of the data. The interquartile range (IQR) will also be affected as the extreme outlier is taken out, will decrease the spread of the data in the boxplot.
The electric car with a rating equivalent to 112 miles per gallon is an extreme outlier, which means it is very far from the rest of the data. Therefore, removing this outlier from the data set will decrease the variability and, consequently, decrease the standard deviation. The extreme outlier with the rating equivalent to 112 miles per gallon is outside of the whiskers of the boxplot, which means it is beyond the range of the middle 50% of the data. Therefore, removing this outlier from the data set will decrease the spread of the data in the boxplot and, consequently, decrease the IQR.
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Question is : Rearrange to make x the subject : 3y-2x=7
Answer:
=1
Step-by-step explanation:
Answer:
Work shown below!
Step-by-step explanation:
3y - 2x = 7
Subtract 3y from both sides;
-2x = -3y + 7
Divide both sides by -2
\(x=\frac{3}{2}y-\frac{7}{2}\)
Performance Task
17. The graph shows the relationship between
the total cost and the number of pounds
of rice purchased
40
30
Total cost (5)
20
10
0
2 4 6 8
Amount of rice (lb)
Part A: What does (6, 18) represent?
Part B:Which point represents the unit
price?
Part C: How many pounds would you
have to buy for the total to be 512?
Explain how to find the answer
Answer:
Sorry but all I know is that part a is 6 pounds will cost $18
Step-by-step explanation:
write 10 rational numbers between -1/3 and 1/3
Step-by-step explanation:
-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4
Define and distinguish among positive correlation, negative correlation, and no correlation. How do we determine the strength of a correlation?
Define positive correlation. Choose the correct answer below.
A. Positive correlation means that both variables tend to increase (or decrease) together.
B. Positive correlation means that there is a good relationship between the two variables.
C. Positive correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
D. Positive correlation means that there is no apparent relationship between the two variables.
Define negative correlation. Choose the correct answer below.
A. Negative correlation means that there is no apparent relationship between the two variables.
B. Negative correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
C. Negative correlation means that there is a bad relationship between the two variables.
D. Negative correlation means that both variables tend to increase (or decrease) together.
Define no correlation. Choose the correct answer below.
A. No correlation means that there is no apparent relationship between the two variables.
B. No correlation means that the two variables are always zero.
C. No correlation means that both variables tend to increase (or decrease) together.
D. No correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient. This value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.
The closer the coefficient is to -1 or 1, the stronger the correlation, while values near 0 indicate a weak or no correlation. Positive correlation, negative correlation, and no correlation are types of relationships between two variables.
Positive correlation (A) means that both variables tend to increase (or decrease) together. When one variable increases, the other also increases, and when one decreases, the other also decreases.
Negative correlation (B) means that two variables tend to change in opposite directions, with one increasing while the other decreases. When one variable increases, the other tends to decrease, and vice versa.
No correlation (A) means that there is no apparent relationship between the two variables. The changes in one variable do not seem to consistently affect the changes in the other variable.
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Luke's account balance is greater than 1,773 dollars. Which of the following best describes this situation?
O A. Luke has a debt greater than 1,773 dollars.
O B. Luke has a credit less than 1,773 dollars.
OC. Luke has a debt less than 1,773 dollars.
OD. Luke has a credit greater than 1,773 dollars.
Answer:
D.)
Step-by-step explanation:
The box plot summarizes the data for the number of minutes it took to serve customers at a restaurant.
Use the box plot to complete each statement.
1. What is the shortest time it took to serve a customer?
2. What is the longest time it took to serve a customer?
3. What is the median time it took to serve a customer?
4. What is the first quartile of the restaurant service times?
5. What is the third quartile of the restaurant service times?
Answer:
1) 19
2) 41
3) 25
4) 22
5) 37
Step-by-step explanation:
The Answers from the box plot are:
1) 19
2) 41
3) 25
4) 22
5) 37
What is Box plot?An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.
Given:
From the Box plot we can write
1.The shortest time it took to serve a customer from the box plot is 19.
2. The longest time it took to serve a customer is 41.
3. The median time it took to serve a customer is 25.
4.The first quartile of the restaurant service times is 22.
5. The third quartile of the restaurant service times is 37.
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1/2 = 1/a + b/c make b the subject
Answer:
b = \(\frac{ac-2c}{2a}\)
Step-by-step explanation:
Given
\(\frac{1}{2}\) = \(\frac{1}{a}\) + \(\frac{b}{c}\)
Multiply through by 2ac to clear the fractions
ac = 2c + 2ab ( subtract 2c from both sides )
ac- 2c = 2ab ( divide both sides by 2a )
\(\frac{ac-2c}{2a}\) = b
If Martha and Howard are 5 hours into the marathon, how far has
each person run?
Answer: The Answer is 10
Step-by-step explanation:
50 points and brainiest PLS DO MY HOMEWORK BY THURSDAY FEBRUARY 2ND
b) 8.03 x 10^6 + 4.0 x 10^4 =
Answer:
uhm- 8070000? i think-
Test for consistency
x - 4y + 7z = 14
3x + 8y - 2z = 13
7x - 8y + 26z = 5
To test for consistency in the given system of equations:
\(\[\begin{align*}x - 4y + 7z &= 14 \\3x + 8y - 2z &= 13 \\7x - 8y + 26z &= 5\end{align*}\]\)\(\[x - 4y + 7z &= 14 \\3x + 8y - 2z &= 13 \\7x - 8y + 26z &= 5\]\)
We can use the method of Gaussian elimination or matrix operations. However, to provide a short answer using LaTeX, I will use matrix notation to perform row reduction:
\(\[\begin{bmatrix}1 & -4 & 7 & 14 \\3 & 8 & -2 & 13 \\7 & -8 & 26 & 5\end{bmatrix}\]\)
Performing row reduction operations, we can obtain the row-echelon form:
\(\[\begin{bmatrix}1 & -4 & 7 & 14 \\0 & 20 & -23 & -29 \\0 & 0 & 1 & -3\end{bmatrix}\]\)
Since we do not have a row with the form [0 0 ... 0 | b], where b is a non-zero value, the system is consistent. Additionally, all the rows have at least one non-zero entry in the augmented column. Therefore, the system of equations is consistent.
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PLease Help Will Mrk Brainliest
Answer:
x=81°
Step-by-step explanation:
The sum of all angles in a triangle is 180°
57+42=99
180-99=81