The required equation of the line is y = 7x–27.
The general equation of the line is y = mx + c.The given equation of the line is y = 7x–6.The slope (m) of the line is 7.The slope should be the same for another line to be parallel to this one.The required equation of line is of the form y = 7x + c.We know that the required line passes through the given point(5, 8).So, (5, 8) should satisfy the equation of the line.y = 7x + c8 = 7*5 + c8 = 35 + cc = –27Thus, the required equation for the line is y = 7x–27.To learn more about the slope, visit :
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Let =[[1,2,],[3,2,1+],[2,2,2+c]] where , , and c are variables. =[[0,2+c,−],[3,+c,−1],[,3,−]] where , , and c are the same variables as in . What is the value of + ? Please store the value into a string FG_sum written with valid python code formatting (e.g. FG_sum = "[[1, 2, a], [3, 2, 1 + b], [2, 2, 2 + c]]"). (Note you are encouraged to do this by hand.)
The value of the expression +, can be determined by performing matrix addition on the given matrices and then evaluating the resulting expression. Let's proceed with the calculations: Given matrices:
A = [[1, 2, 0], [3, 2 + c, -1], [2, 2 + c, 2 + c]]
B = [[0, 2 + c, -3], [3, c, -1], [0, 3, -1]]
Performing matrix addition on A and B, we add the corresponding elements:
A + B = [[1 + 0, 2 + (2 + c), 0 + (-3)],
[3 + 3, (2 + c) + c, -1 + (-1)],
[2 + 0, (2 + c) + 3, (2 + c) + (-1)]]
Simplifying further, we get:A + B = [[1, 4 + c, -3],
[6, 2 + 2c, -2],
[2, 5 + c, 1 + c]
Therefore, the value of + is equal to the matrix [[1, 4 + c, -3], [6, 2 + 2c, -2], [2, 5 + c, 1 + c]].
We can store this value in the string FG_sum using valid Python code formatting as follows:
FG_sum = "[[1, 4 + c, -3], [6, 2 + 2 * c, -2], [2, 5 + c, 1 + c]]"
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What is the product of 7/9 and 1/4
Answer:
7/36
Step-by-step explanation:
7/9* 1/4
Multiply the numerator
7*1 = 7
9*4 = 36
Put the numerator over the denominator
7/36
Answer:
Brunliest plzStep-by-step explanation:
7/9 x 1/4 = 7/36
American General offers a 10-year ordinary annuity with a guaranteed rate of 6.65% compounded annually. How much should you pay for one of these annuities if you want to receive payments of $5,000 annually over the 10 -year period?
You should pay around $39,290.52 for one of these annuities if you want to receive annual payments of $5,000 over a 10-year period, with a guaranteed rate of 6.65% compounded annually.
To receive payments of $5,000 annually over a 10-year period with a guaranteed rate of 6.65% compounded annually, you would need to pay an amount that yields those payments.
To calculate the present value of the annuity, we can use the formula:
PV = PMT * (1 - (1 + r)^(-n)) / r
Where:
PV is the present value (the amount you should pay for the annuity),
PMT is the payment amount ($5,000),
r is the interest rate per compounding period (6.65% or 0.0665), and
n is the number of compounding periods (10 years).
Plugging in the values into the formula, we get:
PV = $5,000 * (1 - (1 + 0.0665)^(-10)) / 0.0665
Simplifying the equation, the present value of the annuity is approximately $39,290.52.
Therefore, you should pay around $39,290.52 for one of these annuities if you want to receive annual payments of $5,000 over a 10-year period, with a guaranteed rate of 6.65% compounded annually.
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is the following a probability model? what do we call the outcome "red"?
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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why is the use of representative samples especially important in frequency claims?
Representative sample is especially important in frequency claims because they ensure the findings accurately reflect the larger population.
What is the significance of representative sample in frequency claims?When making frequency claims, researchers aim to generalize their findings to a larger population. Representative sample consists of individuals who closely mirror the characteristics of the target population. By selecting a representative sample, researchers increase the likelihood that the sample's frequencies and proportions will accurately reflect those of the larger population. This ensures that the frequency claim made based on the sample data is more likely to be valid and reliable.
Representative samples help minimize bias and enhance the generalizability of the findings. If a sample is not representative, it may over- or under-represent certain groups or characteristics within the population. This can lead to misleading frequency claims that do not accurately reflect the reality of the population as a whole. For example, if a study on voting preferences only surveys young adults, the findings may not accurately represent the voting patterns of the entire electorate.
Using a representative sample is crucial to increase the external validity of frequency claims. It allows researchers to make more accurate inferences and generalizations about the target population based on the characteristics and behaviors observed in the sample. By ensuring the sample is representative, researchers can enhance the credibility and applicability of their frequency claims, providing more reliable information for decision-making, policy development, or further research.
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Please help, i would appreciate it <3.
Answer:
B and C
Step-by-step explanation:
area of square= 81
L^2= 81
L=√81
L=9ft
what is the sign of -456+456
Answer:
Well, the answer is 0.
Step-by-step explanation:
Answer: 0
Step-by-step explanation: the answer will be zero because since -456 and 456 are both the opposite the answer will be zero I hope this helps :)
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
25:5
Answer:
5
Step-by-step explanation:
25/5 = 5/1 = 5
parrallelogram ABCD is shown
Answer:
Step-by-step explanation:
Answer: x=19
Step-by-step explanation:As CD=DEECD is also 38 Because it is an isosceles triangle which has 2 equal sides and angles.
As interior angles add up to 18038+38-180=104So CDE=104Angle on a straight line add up to 180180-38AEC= 142As oppossite angles in a parallelogram are equalCDE=CBACBA=104Finding xSay BCA=xLets see CBAC104+3x+x=180104+4x=1804x=76x=19
1 point What was NOT included in the class demo of Excel graph? Set the axes to log scale. Draw a trend line from data. Fill down a column of formulae. Find the slope of a line.
Things that were not included in the class demo of Excel graph: Setting the axes to log scale , Drawing a trend line from data ,Filling down a column of formulae and Finding the slope of a line
The class demo of Excel graph showed how to create a basic graph, but it did not cover all of the features that are available. Here are some of the features that were not included:
Setting the axes to log scale: This allows you to plot data that has a logarithmic relationship. For example, you could plot the Richter scale of earthquakes, which is logarithmic.
Drawing a trend line from data: This allows you to add a line to your graph that represents the trend of the data. This can be helpful for seeing the overall direction of the data.
Filling down a column of formulae: This allows you to copy a formula down a column of cells, so that the formula is applied to each cell in the column. This can be helpful for saving time and making sure that all of the cells in the column have the same formula.
Finding the slope of a line: This allows you to calculate the slope of a line on your graph. The slope of a line is a measure of how steep the line is.
These are just a few of the features that were not included in the class demo of Excel graph. If you are interested in learning more about these features, you can find tutorials online or in the Excel help documentation.
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An isosceles triangle has two congruent sides of length 15 inches. The remaining side has a length of 6 inches. Find the angle that a side of 15 inches makes with the 6-inch side.
The angle that a side of 15 inches makes with the 6-inch side is approximately 78.46 degrees.
c²= a² + b² - 2ab cos(C)
In this case, we know that the lengths of the two congruent sides are both 15 inches, and the length of the remaining side is 6 inches. So we have:
15² = 6² + 15² - 2(6)(15)cos(x)
225 = 261 - 180cos(x)
180cos(x) = 36
cos(x) =\(\frac{36}{180}\)
cos(x) = 0.2
Now we can use the inverse cosine function (\(cos^{-1}\)) to find the value of "x" in degrees:
x = \(cos^{-1}\)(0.2)
x ≈ 78.46 degrees
An angle is a geometric figure formed by two rays with a common endpoint, called the vertex. The rays are known as the sides of the angle. The measure of an angle is usually expressed in degrees, and it represents the amount of rotation needed to rotate one of the sides of the angle onto the other. A full rotation around a point is 360 degrees, so an angle measuring 180 degrees is called a straight angle.
Angles can be classified according to their measure. An acute angle is an angle measuring less than 90 degrees. A right angle is an angle measuring exactly 90 degrees. An obtuse angle measures more than 90 degrees but less than 180 degrees. A reflex angle measures more than 180 degrees but less than 360 degrees.
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How many solutions does this system have? x-y=-4 3x+y=8 one two an infinite number no solution
Answer:
work is shown and pictured
if the circumference is 21 pi what is the area
Answer:1386cm2
Step-by-step explanation:
andre wants to solve the equation 5x2 - 4x - 18 = 20..
Answer:
x= -7
Step-by-step explanation:
The solution to the equation is x = ± 7
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
7x² = 343
Divide by 7 on both sides of the equation , we get
x² = 49
Taking square roots on both sides , we get
x = √49
x = ± 7
Hence , the solution is x = -7 and x = + 7
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number one only helpand explain please
Answer:
Tank 2 ?
Step-by-step explanation:
i believe you are to add the centimeters .
Solve.
x +y + 2z=3
2x – 2y – 3z = 2
3x - y - 2z=1
Enter your answer, in the form (x, y, z). in the boxes
Step-by-step explanation:
x=−y−2z+3
x=y+32z+1
x=13y+23z+13
A plane flew 216 miles from Bristol airport to Leeds Bradford airport. It had an average speed of 162mph and arrived at 18:15. Work out what time the plane left Bristol airport. Give your answer using the 24 hour clock.
The plane left Bristol airport at 16:55.
This is a problem from time and distance. We can solve this problem by following a few steps.
We have to know the relation between time, speed, and distance. The relation is denoted as,
t = s/v; t is denoted as time interval, v is denoted as velocity or speed in this case and s is denoted as displacement or distance.
We have to find the time. Here velocity is 162 mph and the total distance between Bristol airport to Leeds Bradford airport is 216 miles.
t = 216 miles/ 162 mph = 1.33 hour = 80 minutes.
Therefore the plane left Bristol airport is, ( 18 hours 15 minutes - 80 minutes) = 16 hour 55 minutes = 16:55
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what is an area of a square that has 3 inches as it's high and width? also would the answer be inches or inches squared?
Area of a square: side length ^2
Side lenght = 3 inches
Replacing:
A = 3 ^2 = 9 in2
Answer= 9 squared inches
Given circle O , m∠EDF=31° . Find x .
The calculated value of x in the circle is 59
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle
The measure of angle at the center of the circle is calculated as
Center = 2 * 31
So, we have
Center = 62
The sum of angles in a triangle is 180
So, we have
x + x + 62 = 180
This gives
2x = 118
Divide by 2
x = 59
Hence, the value of x is 59
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What exponential function can be used to determine the number of transistors in a car that doubles every TWO years? The number starts at 4100. For this function to work, we should be able to find the amount of transistors in a car after 5 years (or any odd number of years)
Answer:
\(f(t) = 4100( {2}^{ \frac{t}{2} }) \)
The difference between two numbers is 3. The sum of the same tow numbers is 13. What is the
product of the two numbers?
Answer: 40
Step-by-step explanation:
Let the two numbers be a and b.
Therefore,
a - b = 3 ....... i
a + b = 13 ....... ii
From equation I, a = 3 + b
Put a = 3+b into equation ii
a + b = 13
3 + b + b = 13
3 + 2b = 13
2b = 13 - 3
2b = 10
b = 10/2
b = 5
Since a = 3 + b
a = 3 + 5
a = 8
The product of the numbers will be:
= 8 × 5
= 40
It Sami anual Compound interest is applied interest, what instead of anual compound will be the profit of an investor It Sami anual Compound interest is applied interest , what instead of anual compound will be the profit of an investor.
Answer:
it's helps with learning the difference of thr compound
I am a number less than 3,000 . When you divide me by 32 , my remainder is 30. When you divide me by 58 , my remainder is 44 . What number am I? Solution: Taking x as the number to be found, x=32a+30=58b+44 where a and b are the quotients you get on dividing x by 32 and 58. Simplifying this equation you get 16a+15=29b+22 16a=(16+13)b+22−15 or 16a=16b+13b+7 16(a−b)=13b+7 Now I have to find a value for b where 13b+7 is divisible by 16 . The least common multiple of these numbers can be found by going through the multiplication tables of 13 and 16 and 13×13+7=176, while 16×11 is also 176 . Now that the value of b is found to be 13 , we can substitute it in our first equation, x=58b+44=58×13+44=798
The number that satisfies the given conditions is 798. When you divide 798 by 32, the remainder is 30. Similarly, when you divide 798 by 58, the remainder is 44.
To solve this problem, we can use simultaneous equations. Let x be the number we need to find. Then, x = 32a + 30 and x = 58b + 44, where a and b are the quotients obtained on dividing x by 32 and 58. Simplifying this equation, we get 16a + 15 = 29b + 22.
Rearranging the equation, we get 16a - 29b = 7. To find a value for b where 13b + 7 is divisible by 16, we can use the least common multiple of 13 and 16, which is 176. Therefore, b = 13.
Substituting the value of b in the first equation, we get x = 58b + 44 = 798. Hence, the number we are looking for is 798.
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i need helpppppppppp
Answer: XYW = 32, WYZ = 85
Step-by-step explanation:
We are looking for what x is, which we can find with the formula:
117 = (6x+44) + (-10x+65)
117 = -4x + 109
8 = -4x
x = -2
We can verify this is correct by plugging it in and seeing if they add up to 117.
6x + 44 (XYW)
= 6(-2) + 44
= -12 + 44
= 32
-10x + 65 (WYZ)
= -10(-2) + 65
= 20 + 65
= 85
32 + 85 = 117
A boat travels 19 miles per hour. At this rate, how long will it take for the boat to travel 114 miles?
Answer:
Step-by-step explanation:
Answer:
6 hours
Step-by-step explanation:
114 divided by 19 equals 6
I don’t know how to do this
By using the given number line, we conclude that:
c = -1/5b = -0.4a = -3/7How to match the numbers?If we look at the number line, we can see that:
c > b > a.
Then we just need to order the 3 given numbers.
These are:
-0.4
-3/7 = -0.43
-1/5 = -0.20
Then the order of the numbers is:
-1/5 > -0.4 > -3/7
Comparing that with the information we see in the numberline, we conclude that:
c = -1/5b = -0.4a = -3/7If you want to learn more about number lines:
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CALCULATE THE SIDE LENGTHS USING THE GIVEN SCALE.
Answer:
x = 4 mm
y = 15 mm
Step-by-step explanation:
x = 12 mm / 3 = 4 mm
y = 3 × 5 mm = 15 mm
Which of the following is the parent function of all absolute value functions?
f(x) = 3x
f(x) = |x|
f(x) = 2|x|
f(x)= x^2
Answer:
(B.) f(x) = |x|
Step-by-step explanation:
Just took the test%
in 2014, 85 percent of households in the united states had a computer. for a randomly selected sample of 200 households in 2014, let the random variable cc represent the number of households in the sample that had a computer. what are the mean and standard deviation of cc ?
The standard deviation is 5.05 households, while the mean is 170 households.
What is mean?The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.
What is standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean.
Here,
n=200
p=85%
mean=200*85%
=170
standard deviation=√(np(100-p))
=√(170*(100-85))
=√(170*15%)
=25.5
=5.0497
=5.05
The mean is 170 households, and the standard deviation is 5.05 households.
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8. The length of an actual road is
1,000 miles. If 1 inch represents
100 miles, what is the length of
the road on the map?
Answer:
It's A.
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
1,000 / 100 = 10