The line parallel to the line x + 2y = 8 is y = -(1/2)x - 7 Or (1/2)x + 7 = - 7.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.
The given line is x + 2y = 8 ⇒ 2y = - x + 8 ⇒ y = -(1/2)x + 8.
We know line parallel to each other have the same slope and it passing through (-2, - 6).
∴ - 6 = -(1/2)(-2) + b.
- 6 = 1 + b.
b = - 7.
So, The required line is y = -(1/2)x - 7.
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HELP MEEEEEEEEEEEEEEEE PLEASEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
t ≈ 11.7
Step-by-step explanation:
r
A = P (1 + -------)^(n)(t)
n
A = 5000
P = 2500
r = 0.06
n = 2
t = ?
0.06
5000 = 2500 (1 + ----------)^(2)(t)
2
0.06
5000 = 2500 (1 + ----------)^(2)(t)
÷2500 ÷2500 2
0.06
2 = (1 + ----------)^(2)(t)
2
log 2
------------------------ = 2t
0.06
log (1 + ----------)
2
log 2
(1/2) ------------------ = 2t (1/2)
0.06
log (1 + ----------)
2
11.72488612 = t
11.7 ≈ t
I hope this helps!
Which of the following is NOT valid for proving that triangles are congruent? (A) AAA, (B) ASA (C) SAS, (D) HL
Answer:
A) AAA
Step-by-step explanation:
This proved similarity, but not necessarily congruency. If the angles are the same in a triangle, they could be smaller and larger versions of themselves. They will have the same shape, but not necessary the same size. The side lengths will be proportional. If the scale factor between the two triangles is 1 , then the triangles would be congruent, but they could have any scale factor greater or less than 1 too.
Mav has xx nickels and yy dimes. She has no more than 28 coins worth a minimum of $2 combined. Solve this system of inequalities graphically and determine one possible solution.
inequality #1-
inequality #2-
mav could have __ nickles and __ dimes
Inequality #1: x + y ≤ 28
Inequality #2: 0.05x + 0.1y ≥ 2
Mav could have 5 nickles and 20 dimes.
Step-by-step explanation:It's given that Mav has less than or equal to 28 coins, so we can write the following inequality:
x + y ≤ 28
We know that a nickel is work 0.05 and a dime is worth 0.1. Using the given information, the following inequality is true since the coins must be greater than or equal to $2 combined:
0.05x + 0.1y ≥ 2
Now, we will graph them. Both graphed lines will use solid lines since both include equal to. We will shade below #1 and above #2. I used Desmos Graphing Calculator, you can find it online for free. Once we type in our equations, we get the needed graph.
The overlapping portion contains our possible solutions. There are many, but one possible solution is (5, 20), with 5 nickels and 20 dimes.
What is the sum of all digits in the sequence 1,2,3,4... 98,99,100? (For example, the sum of digits in 34 and 35 is 3+4+3+5=15)
Answer:
Step-by-step explanation:
To find the sum of all the digits in the sequence 1, 2, 3, ..., 98, 99, 100, we can use a bit of arithmetic.
First, let's find the sum of the digits in the first 99 numbers of the sequence. Each number in the sequence has two digits, so the sum of the digits in the first 99 numbers is 99 * 18 = 1872.
Next, we need to add in the digits in the number 100. The sum of the digits in 100 is 1 + 0 + 0 = 1.
Therefore, the sum of all the digits in the sequence 1, 2, 3, ..., 98, 99, 100 is 1872 + 1 = 1873.
The perimeter of a square is 60 cm. Find the
area of the square.
Step-by-step explanation:
SOLUTIONSince a perimeter is a total distance around the figure.
And a square is a quadrilateral(with four sides) which are equal.To find the length of each side,divide the perimeter by 4.
60 cm÷4 = 15 cmSince,Area of square = side×side = 15cm×15cm = 225cm^2hope it helps you.
Answer:
Area of square = 225 cm²
Step-by-step explanation:
Perimeter of square formula,
→ P = 4 × side
→ P = 4a
Now the side of square will be,
→ P = 4a
→ 4a = 60
→ a = 60/4
→ [ a = 15 cm ]
Then the area of square will be,
→ (a)²
→ (15)²
→ 225 cm²
Hence, area of square is 225 cm².
How do you write 0.09 as a fraction?
Answer:
9/100
Step-by-step explanation:
numerator = whole number
denominator = 100
9/100
A store receives `12` boxes that contain many different numbers of lemons. They weigh each box and then count the lemons. The data is in the scatter plot. A new box weighs `30` pounds. Approximately how many lemons are in the box?
answer - UR MOTHERRRRR
Answer:
12*30 is the answer
if u multiply it
fill in the numbers resulting from the indicated operation: 2 −1 −4 7 3 4 5 5 −1 2 1 −1 2 −1 −4 7
The numbers resulting from the indicated operation:
-1 2 1 -1
3 4 5 5
What is number?A number is a numerical value that is used to represent quantity. Hence, a number is a mathematical concept used to count, measure, and label. Thus, numbers form the basis of mathematics. A number is an arithmetic value used for representing the quantity and used in making calculations. Numericals are written symbols that represent numbers, such as "3." A number system is a writing system for representing numbers using digits or characters in a logical manner. Numbers are used to count, measure, and compare quantities. A number system is a set of symbols, or numerals, that are used to represent numbers.
Here,
The numbers resulting from the indicated operation:
-1 2 1 -1
3 4 5 5
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Answer:
-1 2 1 -1
3 4 5 5
Calculate the double integral.
3xy2
x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
iintegral.gif
R
the double integral.3xy2 x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
∫∫3xy2 dx dy = 16
We start by calculating the limits of integration. The given region, R, is bounded by 0 ≤ x ≤ 1 and −2 ≤ y ≤ 2. This means that the double integral is:
∫∫3xy2 dx dy = ∫0→1∫-2→2 3xy2 dx dy
Next, we will calculate the integral with respect to x. We can easily do this by integrating 3xy2 with respect to x. This gives us the following:
∫0→1 3xy2 dx = x3y2 + c
Now, we can substitute this expression into the double integral, giving us:
∫∫3xy2 dx dy = ∫0→1 (x3y2 + c) dy
Finally, we can integrate this expression with respect to y, giving us the following:
∫∫3xy2 dx dy = x3y3 + cy + d
Now, we can substitute the limits of integration into this expression, giving us the following:
∫∫3xy2 dx dy = 1(32) + c(-2) + d = 16
therefore, the double integral is equal to 16.
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help me find the slope please
answer needs to be correct or i will report and ban you.
thank you
-lazyuser30
Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
The values of x in the equation are (a) x = 13 and (b) x = 1
How to determine the values of x for the equation?From the question, we have the following parameters that can be used in our computation:
(x - 7)2 = 36
This equation when expressed properly is
(x - 7)² = 36
Take the square roots of both sides of the equation
So, we have the following representation
x - 7 = ±6
Add 7 to both sides of the equation
This gives
x = 7 ± 6
Evaluate the sum and the difference
x = 1 and 13
Hence, the solutions are (a) and (b)
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how other statistucal values are used to summarize data
Statistics regularly employs tables, charts, and graphs to present data visually.
What is meant by statistical values?Data can be summarized graphically or numerically (see "Graphical techniques in Statistics" for further information on the latter). The methods for numerical and graphical summarization that can be utilized depend on the type of data that was collected.
Statistics regularly employs tables, charts, and graphs to present data visually. The evaluation of raw data for patterns, data entry errors, and outlier values that can affect the statistical interpretation of the data is frequently started with examples like these.
It is important to show the data in tables, charts, and other statistical figures in a way that is both accurate and simple to understand. Additionally, tables are helpful for distilling the original data that forms the basis of a study's findings. To convey a lot of information in a small amount of area, they are effective.
The complete questions is:
Describe why charts/tables and other statistical values are used to summarize data and address the particulars of this assignment (be sure to include a thesis statement).
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billie has 2 [tex]\frac{1}{4}[/tex] bars of chocolate she eat 5/8 of a bar how much does she have left. give your answer as a mixed number in its simplest form
Answer:
1 5/8
Step-by-step explanation:
9/4x2/2=18/8
18/8-5/8=13/8,
so the answer will be 1 5/8, yes!
The distance between (2, 3) and (1, 7) is:
117.
1.
16.
17.
Answer:
Sqrt of 4²+ (-1)² = Sqrt. of 17
Step-by-step explanation:
2 points in a coordinate grid create a right-angled triangle.
the distance is the Hypotenuse (the side opposite of the 90° angle). and the x coordinate and y coordinate differences are the legs.
and with that we use Pythagoras
c² = a² + b²
with c being the Hypotenuse, and a and b being the legs.
so, in our case :
distance² = (1 - 2)² + (7 - 3)² = (-1)² + 4² = 1 + 16 = 17
distance = sqrt(17)
suppose that $1,000 is deposited into an account that yields 0.85% interest, compounded annually? how much money will be in that account at the end of 4 years?
The money at the end of 4 years will be $1034.
What is compound interest ?
The interest on the initial investment as well as the interest that has accrued on that investment are both referred to as compound interest, or "compounding interest."
Given, P = $1,000
Rate (r) = 0.85% p.a.
time (t) = 4 years
We know that, Amount = P ( 1 + r/100 )^t
The money in account after 4 years will be :
= P ( 1 + r/100 )^t
= $1,000 × ( 1 + 0.85/100 )^4
= $1,000 × 1.0085^4
= $1,000 × 1.0344
= 1034 (approx).
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The number of avocadoes used by restaurant in a day varies directly with the number of orders of guacamole that day. It takes 7 avocadoes to make 4 orders of guacamole. How many avocadoes would it take to make 14 orders of guacamole?
14 orders of guacamole need 24.5 avocadoes
What are equivalent ratios?
The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.
4 orders of guacamole need 7 avocadoes
14 orders of guacamole need x avocadoes
Equivalent ratios:
4/7 = 14/x
Solve for x.
=> 4x = 7*14 = 98
=> x = 98/4 = 24.5
So, 14 orders of guacamole need 24.5 avocadoes
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how to find asymptotes of a rational function
Step-by-step explanation:
you devide the upper half of a fraction with the part under it. for example
6x2+x+1
_______=6. that is asymptote
x2+2
when you multiply 6 and lower half of a fraction you get 6x2+12
if you substract that from 6x2+x+1 you get x-11
if you make x-11=0 the number that x represents is the point where the function crosses the asymptote
Which value of x makes the equation 3-0.5(2x-8)=(3X+28) true
Step-by-step explanation:
In order to solve this equation, you will need to use the following steps:
First, simplify the left side of the equation by performing the operation of multiplying 0.5 and (2x-8) to get 0.5(2x-8)=x-4.
Then, subtract 3 from both sides of the equation to get x-4=3x+28.
Next, subtract 3x from both sides of the equation to get -3x+x-4=28.
Combine the like terms on the left side of the equation to get -2x-4=28.
Add 4 to both sides of the equation to get -2x=32.
Finally, divide both sides of the equation by -2 to get x=16.
Therefore, the value of x that makes the equation 3-0.5(2x-8)=(3x+28) true is 16.
(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?
As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.
Hypothesis
In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.
Given,
Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.
And we need to find in which statistical inference procedures should we use.
According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.
So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.
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Answer this question please!
Answer:
i can understand your problem
Answer: 8 hours
Step-by-step explanation:
speed = distance/time
time = distance/speed
[tex]time = \frac{680-80}{75} \\time = \frac{600}{75}\\ time = 8hours[/tex]
Helppppppppppppppppp
Answer:
I couldn't read the full problem but I could read the first problem.
Step-by-step explanation:
The hourly rate is 8 dollars because $52-$44 is $8. $44-$36 is also $8. So $36- (the amount for 2 hours) $28 is $8. so in one hour the cost to rent a bicycle is $8.
the u.s. census is an example of a huge descriptive research project that uses the entire population as the sample. what are some of the limitations of generalizing census findings back to the entire population? select all that apply.
Therefore, the limitations census of entire population can be described in major points like it can be Since surveys rely on self-reporting, some misrepresentation or mistake is unavoidable and further more
What is census?A key component of the U.S. Federal Statistical System, the United States Census Bureau, or Bureau of the Census, is in charge of gathering information on the population and economy of the United States.
Here,
Therefore ,the limitations of generalizing census findings back to the entire population are:-
The homeless population is underrepresented in the findings even though every home is required to complete a census report. This is because they are frequently impossible to reach, interview, and count.
People who do not speak either English or Spanish as their first language and whose primary language is one of those two are more likely to be overlooked in the census.
Since surveys rely on self-reporting, some misrepresentation or mistake is unavoidable.
The population fluctuates constantly, so it is unlikely that the population on the day the census results are released would closely resemble the population as described in the census.
Those who entered the country illegally but intend to stay do not submit a report.
Therefore , there are 5 major limitation described above .
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question content area top part 1 compare the slopes of the lines for y=f(x) and y=g(x) to determine if they are parallel.
A line's steepness can be determined by looking at its slope.Slope of the line is 15.
How do you find slope of a line?Determine the coordinates of two points along the line that you choose.Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run).
Slope of a line passing through two points (x1 ,y1)and will be given by,
Slope 'm' =y2 - y2/ x2- x1
Function 'f' passes through two points (0, 20) and (1, 35).
Slope of the line = 35 -20/1-0= 15
In a similar manner, function 'g' passes through (0, 22) and (1, 37).
Slope of the line = 37 - 22/ 1-0 = 15
Therefore, m1 = m2
Since, slopes of both the lines are equal, lines will be parallel.
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The values represent a direct variation. Indentify the constant and find the missing value.
K=xy
The required missing value for the values representing the direct variation is -3.2.
What is proportionality?Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
Here,
let the missing number be x.
From the table given,
-22/-4.4 = -16 / x
x = -16 / 5
x = -3.2
Thus, the required missing value for the values representing the direct variation is -3.2.
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plss, I really need help with this, I keep getting it wrong
Answer:
A = 2
B = 12
C = 5
D = 13
Surface = B * A
Surface = 12 * 2
Surface = 24 mm²
CREDITS:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-27. The histograms show the results of three simulations of a sampling distribution of a sample mean. For each simulation, 1,500 samples of size n were selected from the same population and the sample mean was recorded. The value of n was different for each of the three simulations Graph C Graph B Graph A 200 Sample Means h of the following is the correct ordering of the graphs from least value of n to greatest value of n? 200 200 0 Sample Means Sample Means A A, C, B (B) B. A, C (C) B. C, A (D) C. A, B (E) C, B, A
Previous question
The correct ordering of the graphs from least value of n to greatest value of n is A, B, C.
The three graphs, A, B, and C, represent the results of three simulations of a sampling distribution of a sample mean. Graph A has a value of n of 200, Graph B has a value of n of 200 and Graph C has a value of n of 0. Thus, the correct ordering of the graphs from least value of n to greatest value of n is A, B, C. To understand this, it is important to note that as the value of n increases, the sample means will be more representative of the population. Therefore, Graph A with the lowest value of n would have the least representative sample means, followed by Graph B and Graph C with the highest value of n having the most representative sample means.
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Find x. Please give a correct answer
Answer: x = 110
Step-by-step explanation:
A 7-sided shape, also known as a septagon, has a total of 900° among its angles. We will set up an equation and solve by combining like terms and using inverse operations.
105° + 150° + 140° + x° + 135° + 125° + 135° = 900°
790° + x° = 900°
x = 110
Let
f(x)=12−x
f^-1(x)=
The inverse for f(x) = 12 - x is f^-1(x) = -x + 12
Define Inverse Function
An inverse function or an anti function is defined as a function, which can reverse into another function.
The given equation is ,
f(x) = 12 - x
We can also write like this,
y = 12 - x
Now, for the inverse just swap x and y like this
x = 12 - y
x - 12 = - y
y = -x + 12
Now, we know
y = f^-1(x) = -x + 12
Hence, f^-1(x) = -x + 12
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How do you convert 2 as a percentage?
in the following expression, the variable truckweight has the value 70000 and the variable weightlimit has the value 80000.truck weight < weight limit what value does the expression evaluate to?
The expression evaluates because the variable truck weight's true value is present. The correct answer is (C).
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
Given,
In the following expression, the variable truck weight has the value 70000 and the variable weight limit has the value 80000.truck weight < weight limit.
Expression,
Truck weight < Truck limit
The value of expression evaluate,
It is true.
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