Answer:\(y= \frac{5}{3} x + 9\)
Step-by-step explanation:
20x - 12y = -108
Add 12y + 108 to both sides
12y = 20x + 108
Divide both sides by 12
\(y = \frac{20}{12} x + \frac{108}{12}\\y= \frac{5}{3} x + 9\)
Find the area of this composite shape. Include correct units.
Show all your work.
so far all I got is the answer may be 136 from my calculator but I forgot the proper formula
Answer:
136cm²
Step-by-step explanation:
explanation in the screenshot
whait is the formula of mean deviation
The formula of mean deviation = [Σ |X – µ|]/N
What is mean deviation?
Mean deviation defined as a statistical measure that is used to calculate the average deviation from the mean value of the given data set.
The formula of mean deviation is [Σ |X – µ|]/N
Here,
Σ represents the addition of values
X represents each value in the data set
µ represents the mean of the data set
N represents the number of data values.
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A social networking site has an estimate 5000 members.This number is expected to increase 80% each month. Which function and graph model the number of members in thousands over time in months?
Answer:
y = 5(1.8)^x
Step-by-step explanation:
the formula for an exponential equation is y = a(b)^x
the a in this case is the starting number which is 5000
y = 5000(b)^x
the b is the percentage in decimal form
0.8 BUT it is an increase so we add 1
1.8
y = 5000(1.8)^x
because the graph is in thousands we can make 5000 into 5
Answer:It will be your last option
Step-by-step explanation:
Let A,B and C be n×n matrices. Then (2AT−BC)T 2A+CTBT None of the mentioned 2A−C⊤B⊤
We can simplify the expression by combining like terms: 4AA - CTBTCTBT. Finally, the simplified expression is 4AA - CTBTCTBT.
To simplify the given expression (2AT - BC)T 2A + CTBT, let's break it down step by step:
Step 1: Transpose (2AT - BC)
The first step is to transpose the matrix 2AT - BC. Transposing a matrix means flipping it over its main diagonal. In this case, we have:
(2AT - BC)T = (2AT)T - (BC)T
The transpose of a scalar multiple of a matrix is the same as the scalar multiple of the transpose of the matrix, so we have:
(2AT)T = 2A and (BC)T = CTBT
Substituting these values back into the expression, we get:
(2AT - BC)T = 2A - CTBT
Step 2: Multiply by 2A + CTBT
Next, we multiply the result from step 1 by 2A + CTBT:
(2A - CTBT)(2A + CTBT)
To simplify this expression, we can use the distributive property of matrix multiplication. When multiplying two matrices, we distribute each term of the first matrix to every term of the second matrix. Applying this property, we get:
(2A)(2A) + (2A)(CTBT) - (CTBT)(2A) - (CTBT)(CTBT)
Note that the order of multiplication matters in matrix multiplication, so we need to be careful with the order of terms.
Simplifying further, we have:
4AA + 2ACTBT - 2ACTBT - CTBTCTBT
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What is the measure of each of the arc?
For a Normal distribution with mean 5 and standard deviation 2, which of the following Python lines outputs the probability Plx> 7)? Select one. a. import scipy.stats as st print(st.norm.pdf(7,5, 2)) b. import scipy.stats as st print(st.norm.sf(7, 5, 2)) O c. print(normal(7,5, 2)) d. import scipy.stats as st print(st.norm.cdf(7,5, 2))
The correct Python line that outputs the probability Plx > 7 for a Normal distribution with mean 5 and standard deviation 2 is option (b).Solution:For a Normal distribution with mean 5 and standard deviation 2, the probability that a random variable x will take a value greater than 7 is given by the survival function.sf is the abbreviation for the survival function, which returns the probability that a random variable will take on a value greater than or equal to the given value. The syntax for scipy.stats.norm.sf is as follows:`scipy.stats.norm.sf(x, loc=0, scale=1)`where loc is the mean of the distribution and scale is the standard deviation of the distribution.The line of Python code that returns the probability Plx> 7 for a Normal distribution with mean 5 and standard deviation 2 is:import scipy.stats as stprint(st.norm.sf(7, 5, 2))Thus, option (b) is the correct answer.
The correct Python line to output the probability P(X > 7) for a Normal distribution with mean 5 and standard deviation 2 is b) import scipy.stats as st print(st.norm.sf(7, 5, 2))
The function st.norm.sf(x, loc, scale) computes the survival function, which is the probability that a random variable from a Normal distribution with mean loc and standard deviation scale is greater than x.
In this case, we want to find P(X > 7) for a Normal distribution with mean 5 and standard deviation 2.Therefore, we use st.norm.sf(7, 5, 2) to output the desired probability.
The output should be approximately 0.1587, which represents the area to the right of x = 7 under the Normal curve with mean 5 and standard deviation 2.
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Tasha has a gift card to buy tickets to the movie theater. The initial value of the gift card is $120 . The function M(x)=120-12x represents the amount of money, M , in dollars, that is still left on the gift card after purchasing x movie tickets at a cost of $12 each.
Complete the statements.
The value of is 60/-60 which is viable/not viable in terms of the given context.
The solution to the linear function M(x) = 180 is of x = -5.
What is a Linear Function Equation?The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.
In this problem, the function is defined as follows:
M(x) = 120 - 12x.
M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.
The domain of the situation is given as follows:
x ≥ 0. {discrete}
As the number of tickets cannot assume negative neither decimal values.
The equation is:
M(x) = 180.
The solution is calculated as:
120 - 12x = 180
12x = -60
x = -60/12
x = -5.
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Find the area of the circle. Round to the nearest tenth. Use 3.14 or 22/7 for pie.
5.6 cm
a. 98.5 cm2
b. 8.8 cm2
c. 24.6 cm2
d. 17.6 cm2
Answer:
98.5 cm2
Step-by-step explanation:
An encryption machine uses a formula to encrypt words, by taking each letter and changing it to the letter that is just before it in the alphabet. If the letter is ‘a’, it changes it to ‘z’. If you put the word STAR into the machine, what would the output be?
A) TARS
B) RSZQ
C) TUBS
D) RSTA
The output of the word STAR is RSZQ
How to determine the output?The encryption rule is given as:
Change a letter to the previous letter
This means that:
S -> R
T -> S
A -> Z
R -> Q
So, we have:
STAR -> RSZQ
Hence, the output of the word STAR is RSZQ
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Given y = 3x + 1 State the quadrants in which this graph is in. (Use the numbers 1-4)
Answer:
1, 2 and 3 (I, II and III)
Step-by-step explanation:
Since the slope is positive (3) in the equation y = 3x + 1, it means that the graph has a positive slope, meaning the line slopes up from left to right.
The y intercept is 1
the x intercept is:
0 = 3x + 1
x = 1/3
Therefore, the graph of y = 3x + 1 lies in quadrants I, II and III. Graph the equation to prove this.
How do I do this problem?
Step-by-step explanation:
here is the answer to your question
Answer:
Step-by-step explanation:
I would start from the beginning and find the slope myself, just so I know what's going on (as opposed to being dropped in the middle of the problem). The slope formula is:
\(m=\frac{y_2-y_1}{x_2-x_1}\) and for us:
\(m=\frac{5-3}{4-3}=2\) so the slope is indeed 2. Now we need to write the equation in slope-intercept form. I find it easier to first write the equation in point-slope form and then solve it for y. Point-slope form is
\(y-y_1=m(x-x_1)\) where m is the slope (2) and x1 and y 1 are from one of the coordinates (whichever one you want; as long as you do the math correctly, you will NOT get an incorrect answer. In other words, you can't pick the "wrong" point to use to write the equation.) I'm going to use (3, 3):
y - 3 = 2(x - 3) and
y - 3 = 2x - 6 and
y = 2x - 6 + 3 so
y = 2x - 3 and that's your equation. Of course, you will enter a (-3) in that box with the ? in it.
A researcher interviews 6 widows about their marriages and notices how many cats are wandering around. Is there a significant relationship between the number of times an old widow was married and the number of cats the old lady owns? ( You don't need to do the math to calculate it - the Pearson r is given).
Times Married: 1 1 2 2 3 3
Cats Owned: 3 2 4 5 5 6
Pearson r = +.91
Write up the conclusion for this study in APA format and be sure to include the r2.
There is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).
Given, the Pearson correlation coefficient of +0.91,
There appears to be a strong +ve correlation between the number of cats she owns and the number of times an old widow was married.
It suggests that the more times a widow was married,the more cats she tends to own.
Approximately 82% of the variance in the number of cats owned can be explained by the number of times a widow was married is indicated by the coefficient of determination (r²).
Hence, we can say that there is a significant relationship between the number of cats she owns and the number of times an old widow was married (r = +0.91, p < 0.05, r² = 0.82).
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how many ways can a president, vice president, and secretary be chosen from a committee of 9 people, assuming one person cannot hold more than one position?
The number of ways cans a president, vice president, and secretary be chosen from a committee of 9 people, assuming one person cannot hold more than one position, is 84.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
A president, vice president, and secretary be chosen from a committee of 9 people,
Calculate the number of ways by using the combination as shown below,
\(N = 9C_3\)
Here, N is the number of ways,
N = 9! / [3!(9-3)!]
N = 9! / [3!6!]
N = 84
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HELP ILL GIVE BRAINLIST!!!!
Answer:
y=1/2x+2
Step-by-step explanation:
how to calculate calculate mean and standard deviation after transforming a random variable combining random variables
to calculate calculate mean and standard deviation after transforming a random variable combining random variables, use the formulae for both the expected and standard deviation of such a linear combination with random variables.
What is standard deviation?Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.
Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered. The deviation of each observed value from the mean is measured using this metric. The majority of data in any distribution will fall within a 2 standard deviation range of the mean.
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I appreciate this a bunch :))
Answer:
b = 72
Step-by-step explanation:
7/12b - 19 = 23
7/12b = 42
b = 72
Let's Check
7/12(72) - 19 = 23
42 - 19 = 23
23 = 23
So, b = 72 is the correct answer.
To produce at a point lying ______ the production possibilities curve would require economic growth.
To produce at a point lying inside the production possibilities curve would require economic growth.
What is production possibilities curve ?The production possibilities curve can be described as a graph that help to display the different combinations of output which can be gotten from given current resources and technology.
In this case, To produce at a point lying inside the production possibilities curve would require economic growth.
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Select the correct answer.
The sum of the digits of a three-digit number is 13. The tens digit, t, is 1 more than the hundreds digit, h. The units digit, u, is 3 more than the sum of the tens and hundreds digits. Which system of equations can be used to find each digit?
System of equations can be used to find each digit is option A.
Describe Equation?An equation is a mathematical statement that shows that two expressions are equal to each other. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.
Let's represent the hundreds, tens, and units digits as h, t, and u, respectively. Then we can use the given information to set up a system of equations:
A three-digit number has a digit sum of 13:
h + t + u = 13
One more than the hundreds digit (h) is the tens digit (t):
t = h + 1
The digit in the units, u, is 3 greater than the total of the digits in the tens and hundreds:
u = t + h + 3
Therefore, the correct system of equations is:
h + t + u = 13
t = h + 1
u = t + h + 3
Therefore, the answer is (A).
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Complete both transformations below.
Then enter the final coordinates of the figure.
The final coordinates of the figure are: A" (30, 6), B" (46, 6) and C" (2x + 4, 2y + 6).
To complete the transformations and find the final coordinates of the figure, we'll apply two transformations: a translation and a dilation.
Translation: Given the vector <2,3>, we will translate each point by adding the corresponding components of the vector to their initial coordinates.
Let's assume the initial coordinates of points A, B, and C are:
A (13, 0)
B (21, 0)
C (x, y)
After the translation, the new coordinates will be:
A' (13 + 2, 0 + 3) = (15, 3)
B' (21 + 2, 0 + 3) = (23, 3)
C' (x + 2, y + 3) = (x + 2, y + 3)
Dilation: Given the scale factor K = 2, we will dilate each point by multiplying their coordinates by the scale factor.
After the dilation, the new coordinates will be:
A" (15 * 2, 3 * 2) = (30, 6)
B" (23 * 2, 3 * 2) = (46, 6)
C" ((x + 2) * 2, (y + 3) * 2) = (2x + 4, 2y + 6)
Please note that since the initial coordinates of point C were not provided, we cannot determine its final coordinates precisely without additional information. The coordinates of point C in the final figure depend on the values of x and y.
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What is the solution to the equation 3x + 2(x − 9) = 8x + x − 14? (1 point)
a. −8
b. −1
c. 1
d. 8
Answer:
B. -1
Step-by-step explanation:
STEP 1: Simplify 3x+2(x−9).
\(5x-18=8x+x-14\)
STEP 2: Add 8x and x.
\(5x-18=9x=-14\)
STEP 3: Move all terms containing x to the left side of the equation.
\(-4x-18=-14\)
STEP 3: Move all terms not containing x to the right side of the equation.
\(-4x=4\)
STEP 4: Divide each term by −4 and simplify.
\(x=-1\)
Ann, Claire and Josh collect stickers. One week, Ann collects 7 more stickers than Josh. Josh collects twice as many stickers as Claire. If they collect a total of 157 stickers, how much stickers did each collect?
Josh collected 60 stickers, Ann collected 67 stickers and Claire collected 30 stickers.
How to find the number of stickers each collect using variables?Ann, Claire and Josh collect stickers. One week, Ann collects 7 more stickers than Josh.
let use variables to represent the amount of stickers they collected.
Therefore, Ann collects 7 more stickers than Josh. Josh collects twice as many stickers as Claire
Josh stickers = x
Ann stickers = 7 + x
Claire stickers = 1 / 2 x
Total stickers collected = 157
Therefore,
x + 7 + x + 1 / 2 x = 157
x + x + 1 / 2 x = 157 - 7
2.5x = 150
divide both sides by 2.5
x = 150 / 2.5
x = 60
Therefore, Josh collected 60 stickers, Ann collected 67 stickers and Claire collected 30 stickers.
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Five litres of paint cost R210 . Work out the cost of fifteen litres of paint.
Cost of 15 liters of paint is, 630 Rs.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Five liters of paint cost = 210 Rs.
Hence, We get;
Cost of 1 liters of paint = 210/5
= 42 Rs.
So, Cost of 15 liters of paint is,
⇒ 15 × 42
⇒ 630 Rs.
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Complete the factoring,
5x^2 - 40x = 5x( )
HELP ASAP PLS!
Answer:
\(5x(x-8)\)
Step-by-step explanation:
Factor \(5x\) out of \(5x^{2} -40x\)
In an election, 1200 total votes were cast for the 3 candidates. The second-place candidate received 155 fewer votes than the winner and 200 votes more than the third-place candidate. How many votes did the winner receive
The winner received 570 votes.
Let the winner candidate be c1
Let the second-place candidate be c2
Let the third-place candidate be c3
\(c2=c1-155\\\).........equation 1
\(c2=c3+200\\\)
\(c3=c2-200 \\\)
\(c3=c1-155-200\\\).........by equation 1
\(c3=c1-355\)........equation 2
Now we know,
\(c1+c2+c3=1200\)
\(c1+(c1-155)+(c1-355)=1200\) .....by equations 1 and 2
\(3c1-510=1200\)
\(3c1=1200+510\\3c1=170\\c1=570\)
Hence, The winner received 570 votes.
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Started at –20° and changed 0° whats is the slope
Answer:
See below
Step-by-step explanation:
Start out -20 and change 0° ?
then there is zero slope as this would be a horizontal line.
If the point P(x, 3) is equidistant from the points Q(3, 5) and R(−4, −2), find the value of x.
The value of the coordinate x in the point P(x, 3) s -2
How to find the value of x?From the question, we have the following coordinate points
Point P = (x, 3)
Point Q = (3, 5)
Point R = (-4, -2)
The point P is equidistant from the points Q and R
This means that
PQ = PR
These lengths can be calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
So, we have
PQ = √[(x - 3)² + (3 - 5)²]
PR = √[(x + 4)² + (3 + 2)²]
Recall that PQ = PR
So, we have
√[(x - 3)² + (3 - 5)²] = √[(x + 4)² + (3 + 2)²]
Square both sides
(x - 3)² + (3 - 5)² = (x + 4)² + (3 + 2)²
So, we have
(x - 3)² + 4 = (x + 4)² + 25
Open the brackets
x² - 6x + 9 + 4 = x² + 8x + 16 + 25
Evaluate the like terms
8x + 6x = 9 + 4 - 16- 25
Evaluate the like terms
14x = -28
This gives
x = -2
Hence, the value of x is -2
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A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units
x + 4
x + 4
3x + 13
3x + 43
Answer:
Step-by-step explanation:
d. A pair of scissors forms the angles shown.
What is the value of x?
(84)*
X
116
Answer:
x=8
Step-by-step explanation:
the line is 180 degrees,
so 180-116=64
and 64=8x
x=8
hey what's the answer
show step by step explanation
if u don't know.u don't need to answer
Answer:
The 3rd one - I don't seem too sure with the answer, you know the 1st question's 2nd part, right?
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
7 (b)
Rashid spent 30 minutes on each piece of homework.
Work out the total time he spent on homework for these three subjects.
Give your answer in hours and minutes.
13
Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.
If Rashid spent 30 minutes on each piece of homework for three subjects, we can calculate the total time he spent by multiplying the time spent per subject (30 minutes) by the number of subjects (3).
30 minutes * 3 = 90 minutes.
To convert this into hours and minutes, we divide 90 minutes by 60 since there are 60 minutes in an hour.
90 minutes ÷ 60 = 1 hour and 30 minutes.
Therefore, Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.
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