Solution
We have the following system of equations:
2x -8y= 6 (1)
x-4y = 3 (2)
We can solve for x from the (2) equation and we got:
x= 4y+3
Replacing into the first equation we have:
2*(4y+3) -8y= 6
Solving for y we got:
8y+6 -8y= 6
6=6
Infinite solutions
x= 3+4y
Then we can conclude that the solution is all the real numbers
The Boolean expression
A >= B
is equivalent to which of the following expressions?
(A) !(A < B)
(B) !(B >= A)
(C) !(A <= B)
(D) A != B
(E) B >= A
The Boolean expression A >= B is equivalent to !(A < B) (option A)
To simplify a Boolean expression, use De Morgan's Law.
De Morgan's Law is used to simplify or find the equivalent of a negation of compound expressions.
The principle is:
NOT (A AND B) is equivalent to (NOT A) OR (NOT B)
NOT (A OR B) is equivalent to (NOT A) AND (NOT B)
When the expression involves >, <, = signs, then to simplify the expression, move the not and flip the sign.
! is the symbol of negation or NOT.
Hence,
! (>) becomes <=
! (<) becomes >=
Here are some examples:
!(A > B) is equivalent to (A <= B)
!(A <= B) is equivalent to (A > B)
!(A >= B) is equivalent to (A < B)
!(A == B) is equivalent to (A != B)
!(A != B) is equivalent to (A == B)
!(A < B) is equivalent to (A >= B)
From the above list we can conclude that A >= B is equivalent to !(A < B) (option A)
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Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
The outcomes that are contained in the events are
X = 3 and 10 ⇒ P(X) = 1/5Not X =1, 2, 4, 5, 6, 7, 8 ⇒ P(Not X) = 4/51 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)
The outcomes contained in the eventsFrom the question, we have the following parameters that can be used in our computation:
X = gray colours
Given that
gray colours = 3 and 10
We have
X = 3 and 10
Not X =1, 2, 4, 5, 6, 7, 8
The probability is then calculated as
P(X) = 2/10 = 1/5
For P(Not X), we have
P(Not X) = 1 - 1/5 = 4/5
The equation of P(Not X)In (a), we have
P(Not X) = 1 - 1/5 = 4/5
This means that
P(Not X) = 1 - P(X)
So, the solution is
1 - P(X) = 4/5
The equivalent expressionUsing the above (a) and (b) as a guide, we have the following:
1 - P(X) is the same as P(Not X)
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Jolly measured the cake. Then she calculated that it has a circumference of 15cm. what is the cake's diameter? Use 3.14 for pi.
Will mark brainlest.
Answer:
4.76cm
Step-by-step explanation:
Given data
circumference= 15cm
The expression for circumference is
C= 2πr
substitute and solve for r
15= 2*3.14*r
r= 15/ 2*3.14
r=15/ 6.28
r= 2.38 cm
Hence the diameter is
D= 2r
D= 2*2.38
D=4.76cm
Help me quick gotta get a 100% before 12
Answer:
A,
B
Step-by-step explanation:
If it's a 15 dollar variable fee and a flat 10 our equation looks like this
15c+10
which is the same as A
Now that we know the equation we can just plug a couple of numbers in
when c=3 what is h
15(3)+10=
55
THerefore the answer is B
Answer:
13) A
14) B
Step-by-step explanation:
For number 13 the answer is A because it says he gets charged 15 dollars per hours PLUS the 10 doller traveling fee. So basically: 15 charge + 10 travel fee = hour.
Now for number 14 we know the answer just from the first part. If its three hours then we need to multiply 15 dollars by 3 because like they said, he charges 15 dollars PER HOUR. 15 times 3 equals 45. But thats not all. We need to add 10 dollars to that because of the travel fee. 45 plus 10 equals 55. And the only table that shows 55 dollars is B so we already know the answer without doing the rest.
Andre wants to buy a new car. Gas is so expensive; Andre wants to purchase a
car that has the best gas millage rate.
•
Car 1 has gas mileage that can be described as y = 25x, where x is the
number of gallon of gas used and y is the total miles driven.
Car 2 has he gas mileage rate displayed in the table below.
Number of
Gallons of
Gas
2
5
7
8
11
60
150
210
240
330
Which car should Andre buy? How many more miles per gallon can he
drive in this car than the other car?
Answer: Andre should buy Car 2. Brainliest?
Step-by-step explanation:
To compare the gas mileage of the two cars, we need to find out how many miles each car can travel per gallon of gas.
For Car 1: y = 25x
This means that for every gallon of gas used (x), the car can travel 25 times that amount in miles (y). So, the gas mileage for Car 1 is 25 miles per gallon (mpg).
For Car 2: we can calculate the miles per gallon by dividing the total miles traveled by the number of gallons of gas used:
For 2 gallons of gas, the car can travel 60 miles. So, the gas mileage is 30 mpg (60 miles ÷ 2 gallons).
For 5 gallons of gas, the car can travel 150 miles. So, the gas mileage is 30 mpg (150 miles ÷ 5 gallons).
For 7 gallons of gas, the car can travel 210 miles. So, the gas mileage is 30 mpg (210 miles ÷ 7 gallons).
For 8 gallons of gas, the car can travel 240 miles. So, the gas mileage is 30 mpg (240 miles ÷ 8 gallons).
For 11 gallons of gas, the car can travel 330 miles. So, the gas mileage is 30 mpg (330 miles ÷ 11 gallons).
Therefore, Car 2 has a consistent gas mileage of 30 mpg.
From the above calculations, we can see that Car 2 has a better gas mileage compared to Car 1. Car 2 can travel 30 miles on a gallon of gas, while Car 1 can only travel 25 miles on a gallon of gas.
Therefore, Andre should buy Car 2 if he wants to get the best gas mileage. Car 2 can travel 5 more miles per gallon than Car 1.
17. The absolute value of -6 and 6 is
Answer:
6
Step-by-step explanation:
HELP!!! The probability that a male’s foot is between 10 and 12.5 inches is__
p(10
Answer:
I suggest you use Socratic, it solves questions like this.
Step-by-step explanation:
Simplify the expression StartFraction a b Superscript 3 Baseline over a Superscript 4 Baseline b EndFraction plus left-parenthesis c Superscript 2 Baseline right-parenthesis Superscript 3 Baseline
The simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
What is the simplification of the expression?The given expression is simplified as follows;
The given expression is written as;
ab³/a⁴b + (c²)³
To simplify the expression given above, we will divide the fraction with the common factor as follows;
From the numerator; ab³, we will factor out "ab"
From denominator; a⁴b, we will factor out "ab"
The resulting expression becomes;
ab³/a⁴b + (c²)³
= b²/a³ + c⁶
Note: for the power of c, we simplify by multiplying 2 and 3 = 6
Thus, the simplification of the expression ab³/a⁴b + (c²)³ is determined as b²/a³ + c⁶.
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Help me find the equation of the line please need it now
Giving extra points
Correct answer only
Answer:
Step-by-step explanation:
If AB ⊥ CD, then \(m_{AB}\) \(m_{CD}\) = - 1
P( \(x_{1}\) , \(y_{1}\) )
y - \(y_{1}\) = m( x - \(x_{1}\) )
~~~~~~~~~~~~~~~~
y = - 2x + 6 and P(3, 3) , m = - 2
Slope of ⊥ line is \(\frac{1}{2}\)
y - 3 = \(\frac{1}{2}\) ( x - 3 )
y = \(\frac{1}{2}\) x + \(\frac{3}{2}\) or y = 0.5x + 1.5
349 ×10 to the 5th power =
Answer:
34,900,000
Step-by-step explanation:
349 × \(10^{5}\)
\(10^{5}\) = 100,000
349 x 100000 = 34,900,000
So, the answer is 34,900,000
What of the following graph that is a straight line? 1:y =2x +7 or 2:y² = x-7 or y= 2x²+4 or y= 3x³
Answer:
1. y = 2x + 7
Step-by-step explanation:
The equation of a linear function is y = mx + b. The "x" has to be a first-degree polynomial (no exponents).
7+3 expressed as a difference
Answer:
7 - (-3)
Step-by-step explanation:
7 + 3 = 7 - (-3).
How many eighths are there in 4 3/8
ANSWER:
Answer:
35/8
Step-by-step explanation:
4×8= 32 plus the 3/8 equals 35/8
hope it helps
Use the distributive property to simplify this expression for a parentheses 4(12 + 5)
Answer:
68
Step-by-step explanation:
The height of the tank is 11 m and the radius of the tank is 5 m. the height of the water is 6 m and the radius of the water is 3 m. how much more water in cubic meters could you fit in the tank?
Answer:
221 cubic metre.
Step-by-step explanation:
Volume of water in tank (v) = π × {3}^{2} × 6
= 54π cubic metre
Volume of tank (v') = π × {5}^{2} × 11
= 275π cubic metre
More Water that can be fit in the tank = v' - v
=275π - 54π
= 221π cubic metre.
ANS.
. what is equal to 5/6
Answer:
10/12 is equal to 5/6
Step-by-step explanation:
We know that because 5 is half of 10, and 6 is half of 12
Which expressions describe the end behaviors of the function, f(x)= (3.25)^x+6, modeled by the graph? An exponential curve on a coordinate plane with horizontal x axis ranging from negative 10 to 10 in increments of 1. The vertical y axis ranges from negative 4 to 14 in increments of 1. The curve begins infinitely close to the line y equals 6 in the second quadrant. The curve increases through begin ordered pair 0 comma 7 end ordered pair. The curve passes through begin ordered pair 1 comma 9.25 end ordered pair and exits the first quadrant.
The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.
What is end behavior as used in math?The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.
For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.
The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6
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The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.
Answer:
Y=KX so its 10=K2
Step-by-step explanation:
Plug in the Number OR K=y/x
what is the sum 3x2 9 5x3
The sum of 3x2 + 9 + 5x3 is 30
We need to find the sum of 3x2 + 9 + 5x3
First we have to multiply which is then followed by addition.
Addition is the process of adding two or more numbers together to get their sum. Addition in math is a primary arithmetic operation, used to calculate the total of two or more numbers
3x2 + 9 + 5x3
= 6 + 9 + 15
= 30
Therefore, the sum of 3x2 + 9 + 5x3 is calculated by adding the terms, and it is 30
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Collect data on the OBSERVATION table in ANNEXURE A to record 30 days of the minimum and maximum temperature in your community. Arrange the maximum temperature of the 30 days in ascending order to summarize the data. Determine the mean, mode, median, and range. Use the maximum temperature data and draw for each section a frequency table with appropriate intervals in ANNEXTURE B Display or represent the data from the frequency table on a pie chart in ANNEXTURE B. First, calculate the size of the angles for the pie chart. Example: Intervals between 20-30 are 5. Therefore the proportion of the Segment: 11 [360° = 72° Show all your calculations. 11 Which data collection best describe the maximum and why?
Answer:
I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.
To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:
25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22
The sum of the values is:
25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813
Dividing by the number of values (30), we get:
Mean = 813/30 = 27.1
To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.
To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:
20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34
There are 30 values, so the median is the 15th value, which is 28.
To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:
Range = 34 - 20 = 14
To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:
20-24, 25-29, 30-34
The frequency table would look like this:
Interval | Frequency
20-24 | 4
25-29 | 18
30-34 | 8
To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:
Proportion = Frequency/Total frequency = 18/30 = 0.6
Angle = Proportion * 360° = 0.6 * 360° = 216°
We can repeat this calculation for each interval to obtain the angles for the pie chart.
In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.
100 points!!!
Solve the following equation:
8x + 3 = 2x + 9
Answer:
\(\Huge \boxed{\boxed{ x = 1}}\)
Step-by-step explanation:
Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.
To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.
Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.
-------------------------------------------------------------------------------------------------------------
SolutionStep1: Subtract \(\bold{2x}\) from both sides
\(8x + 3 = 2x + 9\)\(8x - 2x + 3 = 2x - 2x + 9\)\(6x + 3 = 9\)Step 2: Subtract 3 from both sides
\(6x + 3 - 3 = 9 - 3\)\(6x = 6\)Step 3: Divide both sides of the equation by 6
\(\frac{6x}{6} = \frac{6}{6}\)\(x = 1\)So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).
-------------------------------------------------------------------------------------------------------------
What does round to the nearest hundredth mean?
Answer:
Step-by-step explanation:
say for example you have 105 as a answer you would round to 100 because it a closer to 100 than 200
Use the following information to answer the next question. In the process, what is the total distance that Jeremy covers?Use the following information to answer the next question.
In the process, what is the total distance that Jeremy covers?
The total distance covered by Jeremy is 1320 m
What is a line segment ?
A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.
For sapling 1 = No distance is covered.
For sapling 2, distance covered = 10 m
Return distance=10 m
For sapling 3, distance covered =20 m
Return distance=20 m and so on
Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...
Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12
Total distance covered = 122 [2(0) + (12 − 1) 20 ]
Total distance covered = 6 (11)(20) = 1320 m
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Complete question:
There are 12 saplings to be planted in a straight line at an interval of 10 m between
two consecutive saplings. Jeremy can carry only one sapling at a time and he has to
come back to the original point to take the next sapling. He plants 12 saplings in this
manner, planting the first sapling at the original point. After planting all the saplings,
he comes back at the original point,
In the process, what is the total distance that Jeremy covers?
Ms. Sperlack bakes 3 1/2 pies in 20 minutes. At this rate how many pies can she bake in 1 hour? 2 hours?
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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When an accountant records_ on hand, they are noting a company's ____
A. human resources; total liquid assets
B. cash; total of amount dollars, money orders, checks, and other forms of
money
C. supplies; materials that need to be purchased soon
D. inventory; number of employees on payroll
Answer: Choice B
Explanation: The phrase "cash on hand" means the amount of money the company has. It could be literal cash as the phrase directly implies. Or it could be near equivalents to cash. A near equivalent is something you can convert to cash fairly easily, meaning a bank would readily accept it. The only drawback is that it's not actual cash so its not as liquid as cash itself. Also, you would need to take into account the delay time between deposit and when the bank balance is updated.
help! please give 35 points
The area of the composite figure is 378.5 square feets.
How to find the total area of the figure?We can decompose this into a rectangle of 30ft by 10ft and a circle whose diameter is 10ft.
Remember that the area of a rectangle of width W and length L is given by:
A = L*W
So the area of this rectangle is:
A = 30ft*10ft = 300ft²
And the area of a circle whose diameter D is:
A = 3.14*(D/2)²
So in this case the area of the circle is:
A = 3.14*(10ft/2)²
A = 3.14*(5ft)² = 78.5 ft²
Then the total area of the composite figure is:
area = 300ft² + 78.5 ft²
area = 378.5 ft²
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what is the answer pls Question 29 of 45
In the triangle below, what is the length of MN?
OA. 50
OB. 100
OC. 20
OD. 40
50
20
M
50
The calculated length of the segment MN in the triangle is 20
How to find the length of the segment MN in the triangleFrom the question, we have the following parameters that can be used in our computation:
The triangle
The third angle in the triangle is calculated as
Third angle = 180 - 50 - 50
Evaluate
Third angle = 80
The length of the segment MN is then calculated as
MN/sin(50) = 20/sin(50)
This gives
MN = sin(50) * 20/sin(50)
Evaluate
MN = 20
Hence, the length of the segment MN in the triangle is 20
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plz help i beg u
lara made a scale drawing of a famous monument. she used a scale factor of 1 inch = 1.6 feet. if the height of the monument in drawing is 17.4 inches, compute the actual height of the monument.
Answer:
27.84?
Step-by-step explanation:
17.4*1.6
513.4497 rounded to the hundredths place
Answer:
513.45
Step-by-step explanation:
use intelligence