Answer:
I apologize, due to some urgent matters I wont be able to make the corrections to my answer.
(c) If a pizza contains 8 slices and there are 4
people eating, how many slices are there per
person?
Answer:
2
Step-by-step explanation:
8 / 4 = 2
8 = 8 slices
4 = 4 people
The coefficient matrix of a system of n equations and n variables has n−1 pivot columns. Is the matrix invertible?
If the coefficient matrix of a system of n equations and n variables has n−1 pivot columns, the matrix is not invertible.
The coefficient matrix of a system of n equations and n variables is invertible if and only if it has n pivot columns. In this case, the matrix has n−1 pivot columns, which means it is not a full-rank matrix.
When a matrix is not full-rank, it means that there exist linear dependencies among its columns, resulting in a non-trivial null space. Consequently, the system of equations described by this matrix has either infinitely many solutions or no solution at all.
To determine whether the system has a unique solution or not, we need to consider other factors such as the right-hand side of the equations or the consistency of the system. However, based solely on the information that the coefficient matrix has n−1 pivot columns, we can conclude that the matrix is not invertible.
In summary, if the coefficient matrix of a system of n equations and n variables has n−1 pivot columns, the matrix is not invertible.
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Please help ASAP I don’t understand this and only answer if you know just don’t answer with random letters please!!!!!
Answer:
x + y + 90 = 180
x = 67
y = 23
Step-by-step explanation:
x + y + 90 = 180
x + 2 = 3y
x + y = 90
x - 3y = -2
x + y = 90
(+) -x + 3y = 2
-----------------------
4y = 92
y = 23
x + y = 90
x + 23 = 90
x = 67
Jenna has $50 to spend at a local craft fair. The entrance price for the fair is $10. At a pottery stand. Jenna finds cups that are $4.50 each. What is the maximum cups Jenna can buy?
Answer:
8
Step-by-step explanation:
4.5x+10<=50
4.5x<=50-10
4.5x<=40
x<=8.9
round down because can't go beyond 50
x=8 max
Answer:
8 cups
Step-by-step explanation:
The equation is:
Let \(c\) be amount of cups she can buy.
\(10+4.5c=50\)
Using this equation, we get:
\(10+4.5c=50\)
Subtract 10 from both sides
\(4.5c=40\)
Divide both sides by 4.5
\(c\) ≈ \(8.89\)
Since she can only buy whole cups, the max she can buy is 8 cups.
What is the kinetic energy of a toy truck with a mass of 0.75kg and a velocity of 4 m/s (Formula: KE= 1/2mv2)
Answer:6
Step-by-step explanation:
I NEED HELP ON THIS ASAP! PLEASE IT'S DUE TODAY, I WILL GIVE BRAINLIEST!!
Answer:
Function A: f(x) = -8^x
Function B: f(x) = 2^x
Function A has a greater horizontal asymptote. As x approaches negative infinity, Function A approaches y = 0 faster than Function B.
You suspect that a 6-sided die is not fair. Which statement would provide the best evidence that the die is unfair? A. You roll the die 1200 times and observe 4006 's B. You roll the die 12 times and observe 56 's C. You roll the die 120 times and observe 22.6 's D. You roll the die and observe 3 consecutive 6 's
Option A: "You roll the die 1200 times and observe 400 6s" would be the best proof that the die is unjust.
In comparison to the other options, Option A offers a significantly bigger sample size, which improves the accuracy and dependability of the findings.
There is a sizable quantity of data to be analyzed from the 1200 rolls, and the observation of 400 instances of the number 6 shows that the probability of rolling the number may be substantially higher than the anticipated probability of 1/6 for a fair 6-sided die.
Due to the significantly smaller sample sizes for Options B, C, and D, the results are less conclusive and more subject to chance changes.
Option B's 5 6s out of 12 rolls would fall within the realm of what a fair die might produce.
It is challenging to make firm conclusions from Option C's 22.6's (perhaps 22 or 23 occurrences of 6 out of 120 rolls), as it is still a small sample size.
Only the observation of three consecutive 6s is mentioned in Option D, and even with a fair die, this could infrequently occur by coincidence.
For a more reliable assessment of fairness, it's essential to have a larger sample size, as provided in option A.
This larger data set allows for better statistical analysis and a more accurate determination of whether the die is fair or not.
Hence the correct option is A.
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Define functions H and K from R to R by the following formulas: For all x ∈ R,
H (x) = (x –2)2 and K (x) = (x – 1)(x – 3) + 1.
Does H = K? Explain.
H(x) is not equal to K(x) and functions H and K are not equal.
Functions H and K are defined from R to R by the formulas:For all x ∈ R, H (x) = (x –2)2 and K (x) = (x – 1)(x – 3) + 1.
Explain.Solution:For all x ∈ R,H (x) = (x –2)2......(1)and K (x) = (x – 1)(x – 3) + 1......(2)To check whether H = K, we will have to verify whether H(x) = K(x) for all x ∈ R.Therefore, we will equate equations (1) and (2) as:H(x) = K(x)(x –2)2 = (x – 1)(x – 3) + 1x2 – 4x + 4 = x2 – 4x + 4 – 3x + 1x2 – 4x + 4 = x2 – 3x + 5x = –1If we analyze the equation x = –1, we can conclude that it is not a member of R (the domain of the functions).Thus, there is no such x ∈ R that satisfies H(x) = K(x).
Therefore, we can say that H(x) is not equal to K(x) and functions H and K are not equal.
A function is a correspondence between two sets that assigns to each element of one set (the domain) exactly one element of the other set (the range).Functions are widely used in mathematics because they allow us to model real-life situations. The input value of a function is called the independent variable, and the output value is called the dependent variable.
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A crate is lifting a boat suspended by wire ropes AB and AD. The point C is vertically below A, and BC measures 5.
a) The gradient of AB is 0.8. How high is AC
The boat suspended by wire ropes AB and AD, AC is 4 units high.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The gradient of AB is 0.8, hence:
AC / BC = 0.8
Since BC = 5, therefore:
AC / 5 = 0.8
AC = 4
The boat suspended by wire ropes AB and AD, AC is 4 units high.
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What are the first 3 consecutive odd numbers?
The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.
Consecutive numbers are those that always appear in the same order, from smallest to largest.
For instance:
The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.
consecutive odd numbers:
Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."
Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.
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Solve for C.
3c-2c-1=13
PLS HELLLP
Step-by-step explanation:
1c-1=13
1c=13+1
1c=14
c=14
Please help I need help
Answer:
x=10
Step-by-step explanation:
To solve for x, you need to draw an imaginary line connecting the right end of side x to the left side with length 15. This forms a triangle with side lengths 6 and 8, and hypotenuse x. Using the Pythagorean Theorem to solve for x, we get 6^2 + 8^2 = x^2, 36 + 64 = 100, \(\sqrt{100}\) = 10.
Answer:
It's 10
Step-by-step explanation:
C^2=A^2+B^2blank
C=√(A^2+B^2)
If c is x and a and b are the side lengths the we can use Pythagoras's theorem to calculate the length of the line. A=6 B=8 and in the end when you calculate all that doohickey stuff you get x=10
A bag contains orange and yellow sweets the ratio of orange to yellow sweets is 3:2 There are 51 orange sweets in the bag find the total number of sweets in the bag.
Answer: 34
Step-by-step explanation: the ratio is 3:2 we know that there are 51 orange sweets but we don’t know how many are yellow so the current ratio is 51:x we need to find x so if we divide 3 by 51 the answer is 17 so we need to multiply 17 by 2 which is 34 so x is equaled to 34 the final ratio is 51:34
hope it helped :)
SOMEONE HELPPPPPPPPPLLP
Answer: 2
Step-by-step explanation:
Noor has got 18 pencils at school. If she gives away ⅚ of the pencils, how many will she have given away in total?
Answer:
15
Step-by-step explanation:
you just put 5/6 x 18 in calculator, please rate 5 stars :)
Answer:
15 pencils.
Step-by-step explanation:
Multiply 18 and 5/6 to find the answer.
\((18)(\frac{5}{6})=15\)
Therefore, she will have given away 15 pencils.
simplify 3(7t-5) - 2t = 4
Answer:
Step-by-step explanation:
3(7t - 5) - 2t = 4
3*7t - 3*5 - 2t = 4
21t - 15 - 2t = 4 {combine like terms}
21t - 2t - 15 = 4
19t - 15 = 4 {Add 15 to both sides}
19t = 4 + 15
19t = 19 {Divide both sides by 19}
t = 19/19
t = 1
mia uses triangle A and says the slope of this line is 6/4.Elena use triangle B and say no,the slope is 1.5
Incomplete question.
can you pls tell me the answer for ixl
Answer:
the P is 25% for all positions
Step-by-step explanation:
P = (1/n)
P = probability
1 = the total of the whole
n = number of options
P = 1/4
P = .25
the information contained in a probability distribution has to be summarized into a single measure to be used to make decisions. what is this measure called?
Poisson distribution is the measure to summarize the information contained in a probability distribution in a single parameter.
Poisson distribution gives the probability of an event occurring a certain number of times (k) within a specified time period.
It is denoted by λ , which is the mean number of events.
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the nth term of a sequence is 3n2/2
Question:
The nth term of a sequence is \(\frac{3n^2}{2}\) . Find the fifth term of the sequence
Answer:
The 5th term of the sequence is 37.5
Step-by-step explanation:
Given
\(nth\ term = \frac{3n^2}{2}\)
Required
Find the 5th term
To find the 5th term, we simply substitute 5 for n in the above expression.
This gives
\(5th\ term = \frac{3 * 5^2}{2}\)
\(5th\ term = \frac{3 * 5 * 5}{2}\)
\(5th\ term = \frac{75}{2}\)
\(5th\ term = 37.5\)
Hence, the 5th term of the sequence is 37.5
Kelly works two jobs. She usually works at a retail store for 8 hours during the day and is paid $12.90 per hour by the store. In the evening she works at a restaurant as a manager for 4 hours and is paid $12.20 per hour. How much does she make on average per hour for the day?
Answer:
i believe its 12.55
Step-by-step explanation:
if you add both number, 12.90 and 12.20, then divide by 2.
you'll will gain the same result
Using logarithms, you determined the of 7 solutions ranging from strong acid to neutral to strong base.
Logarithms are a useful tool in determining the acidity or basicity of a solution. pH is a measure of the concentration of hydrogen ions in a solution and is calculated using the formula pH = -log[H+].
A solution with a pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.
Using logarithms, we can determine the pH of 7 solutions ranging from strong acid to neutral to strong base. To do this, we need to measure the concentration of hydrogen ions in each solution and then use the formula above to calculate the pH.
For example, if we have a solution with a hydrogen ion concentration of 0.001 M, we can calculate the pH as follows:
pH = -log(0.001) = 3
This solution would be considered a strong acid, as it has a pH below 7. Similarly, a solution with a hydrogen ion concentration of 10^-7 M (which is the same as a concentration of 1x10^-7 M) would have a pH of 7 and would be considered neutral.
Finally, a solution with a hydrogen ion concentration of 10^-11 M would have a pH of 11 and would be considered a strong base.
In summary, using logarithms, we can determine the acidity or basicity of a solution by calculating its pH. A pH of 7 is considered neutral, while a pH below 7 indicates acidity and a pH above 7 indicates basicity.
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PLS HELP 25 POINTS NO CAP PLS BRAINLEIST
Answer:
I can't see the picture or handwriting
the mean number of cars sold by each salesman at kovak motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). ben polamalu only sold 6 cars last month. which statement is true?
The mean number of cars sold by each salesman at Kovak Motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). Ben Polamalu only sold 6 cars last month. The statement which true is B) Ben's sales were not unusual last month.
ABOUT MEAN IN MATHThe mean is one of the important formulas in mathematics. Another term for the mean is the average. The mean is a calculation that is studied further in statistics.
Calculating the mean is a basic math skill. The mean is a calculation that can be calculated using a simple formula. Usually, the mean is a formula that is used in conjunction with other statistical formulas such as the mode and median.
In everyday life, the mean is a calculation that is often used. An example of using the mean is to find out the average income of employees in an office.
Your question is incomplete but most probably your full question was:
The mean number of cars sold by each salesman at Kovak Motors is 10 cars per month, with a standard deviation of 3 cars (distribution is symmetric). Ben Polamalu only sold 6 cars last month. which statement is true?
A) Ben's sales were unusual last month.
B) Ben's sales were not unusual last month.
C) Ben's sales were not unusual this month.
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Clarence brought a used car that had been driven 1.050 miles by the time he purchased it. Clarence only drives the car on days he works and he drives 90 miles each day he works . Which equation represents hi is situation where m shows the total number of miles the car has been driven after the number of days , d that Clarence works ?
The equation that represents the total number of miles the car has been driven after the number of days that Clarence works is m = 1050 + 90d
Number of miles driven = 1050 miles
Miles drove by Clarence = 90
Number of days = d
Based on the information given, the equation to use will be:
= 1050 + (90 × d)
= 1050 + 90d
Therefore, the number of miles is 1050 + 90d.
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Nabhitha is deciding between two truck rental companies. Company A charges an initial fee of $30 for the rental plus $2 per mile driven. Company B charges an initial fee of $55 for the rental plus $1 per mile driven. Let
A
A represent the amount Company A would charge if Nabhitha drives
x
x miles, and let
B
B represent the amount Company B would charge if Nabhitha drives
x
x miles. Write an equation for each situation, in terms of
x
,
x, and determine which company would be cheaper if Nabhitha needs to drive 20 miles with the rented truck.
Company B is cheaper if Nabhitha needs to drive 20 miles with the rented truck.
Given that, company A charges an initial fee of $30 for the rental plus $2 per mile driven. Company B charges an initial fee of $55 for the rental plus $1 per mile driven.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the number of miles Nabhitha drives be x.
Money charged by company A = 30+2x
Money charged by company B = 55+x
If Nabhitha needs to drive 20 miles (x=30) with the rented truck
Then money charged by company A = 30+2(20)
=$70
Money charged by company B = 55+20
=$65
Therefore, company B is cheaper if Nabhitha needs to drive 20 miles with the rented truck.
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Bok
Match the key aspect of a function's graph with its meaning.
x-intercept
1x)<0
y-intercept
Matching the Meaning of Key Features of a Graph
140
4) Intro
location on graph where output is
zero
location on graph where input is zero
intervals of the domain where the
graph is below the x-axis
intervals of the domain where the
graph is above the x-axis
The x-intercept represents the intervals of the domain where the graph is below the x-axis.
The y-intercept represents the location on the graph where the output (or function value) is zero.
Here's the matching of the key aspects of a function's graph with their respective meanings:
x-intercept:
4) Intervals of the domain where the graph is below the x-axis.
This refers to the points on the graph where the function intersects or crosses the x-axis, meaning the y-coordinate of those points is zero.
y-intercept:
Location on the graph where the output is zero.
This refers to the point on the graph where the function intersects or crosses the y-axis, meaning the x-coordinate of that point is zero.
In summary:
The intervals of the domain where the graph is below the x-axis are represented by the x-intercept.
The graph's location where the output (or function value) is 0 is shown by the y-intercept.
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Consider each of the scenarios below. If initial values were provided for each scenario, which could be modeled by an equation of the form y=ax+b? Select all that apply. A. The value of a car depreciates by 10% every year. B. Every 8 hours, half of a drug dosage remains in the body. C. Every week, 3/5 of a radioactive substance remains from the beginning of the week. D. A savings account, which earns no interest, receives a deposit of $500 per month. E. A liter of water evaporates from a swimming pool every day.
Answer: same no kizz
Step-by-step explanation:
Only options D and E show the straight line relationship and hence can be modelled by an equation of the form
\(\rm y =ax+b\)
For option D we can write equation as
\(\rm y = 500\times x + I \\y = Final \; amount\\x = Number \; of \; month\\I = Initial \; balance\)
So option D is correct
For option E we can write equation as
\(\rm y = L-nx \\y = Final \;volume \; of\; water \;in \;the \; pool \\n= Number \; of \; days\\L= Initial \; amount \; of \; water \\x = Amount \;of \; water\; evaporated \; per \; day\)
So option E is correct
The given scenarios are
A. The value of a car depreciates by 10% every year.
B. Every 8 hours, half of a drug dosage remains in the body.
C. Every week, 3/5 of a radioactive substance remains from the beginning of the week.
D. A savings account, which earns no interest, receives a deposit of $500 per month.
E. A liter of water evaporates from a swimming pool every day.
Equation \(\rm y =ax+b\) is the equation of straight line
Out of given options only D and E show the straight line relationship
When am amount P depreciates at a rate of R% per year then the amount \(\rm A_n\) after n years can be written as formulated in equation (1)
\(\rm A_n = P(1-R)^n.........(1) \\A_n=Amount \; after\; n \; years \\P = Initial \; Amount\\R = Rate\; of \; Depriciation\)
So the equation for depreciation D
\(\rm D=P-A_n\)
Clearly this equation is not a linear equation of the form \(\rm y =ax+b\)
hence option (A) is ruled out.
Similarly the exponential decay function is given by equation
\(\rm A = A_oe^{-\lambda t}\\A = Substance \; remained \;after \;time \; t \\A = Initial\; amount \; of \; substance \\\lambda = 0.693 + T_{1/2}\\T_{1/2} = Half\; life\)
hence we can rule out option (B) and (C)
For option D we can write equation as
\(\rm y = 500\times x + I \\y = Final \; amount\\x = Number \; of \; month\\I = Initial \; balance\)
So option D is correct
For option E we can write equation as
\(\rm y = L-nx \\y = Final \;volume \; of\; water \;in \;the \; pool \\n= Number \; of \; days\\L= Initial \; amount \; of \; water \\x = Amount \;of \; water\; evaporated \; per \; day\)
So option E is correct
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PLEASE HELP 90 POINTS & WILL GIVE BRAINLIEST
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Alexander sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
8 visitors purchased no costume.
340 visitors purchased exactly one costume.
28 visitors purchased more than one costume.
If next week, he is expecting 600 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.
Answer:
45 people
Step-by-step explanation:
1) Add all of the origanal visitors (376)
2) Find the ratio (28/376) = 0.0744
3) Either 28/376 * 600 OR 0.0744 * 600 (I would recomend the fraction for more accurate answers, but because it says to round to the nearest whole number either will work, but you should still use fraction)
4) 44.6908
5) Round to 45 people
Passing through (3, -3) and perpendicular to y=3x+5
Answer:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to y=3x−5. y=−13x−2
Step-by-step explanation: