The constant of proportionality of the equation y =−7.48x is - 7.48.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent
In other words, two variables have a proportional relationship if the ratios of the variables are equivalent.
Therefore, a proportional relationship is one in which two quantities vary directly with each other.
Hence, in mathematical form,
y ∝ x
y = kx
where
k = constant of proportionalityy varies directly as the variable x.
In the equation,
k = - 7.48
Therefore, the constant of proportionality is - 7.48.
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please help with all of them
Answer:
1 - D
2 - D
3 - B
Answer:
D. Quadrant 4
D. 1,2
B. A and B
Step-by-step explanation:
brainlest pls
actor 14x+7y using the GCF.
Answer:
so to factor out you find the greatest common factor of 14 and 7
if you have 2x-2 then you can factor out the 2 and get 2(x-1)
7=7*1
14=2*7
the greatest common factor is 7
14x-7=7(2x-1)
According to the graph provided, the weight for someone who is 1.5 meters tall is predicted to be kilograms.
According to the scatter plot provided, the weight for someone who is 1.5 meters tall is predicted to be 45.45 kilograms.
What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical and analytical tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
In this scenario, the weight (in kilogram) would be plotted on the y-axis of the scatter plot while the height (M) would be plotted on the x-axis of the scatter plot.
From the scatter plot (see attachment) which models the relationship between data points in the table, a linear function for the line of best fit is given by:
Weight, kg = -114.3 + 106.5M
When M = 1.5 meters, we have:
Weight, kg = -114.3 + 106.5(1.5)
Weight, kg = -114.3 + 159.75
Weight, kg = 45.45 kg.
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Complete Question:
According to the graph provided, the weight for someone who is 1.5 meters tall is predicted to be ____ kilograms.
9(x + y) = 9x + 9y what property is that
what is multiplicative inverse of rational number
Answer:
The multiplicative identity of rational numbers is 1
Step-by-step explanation:
As per the property of multiplicative identity, a number when multiplied by the original number gives the product as 1. Thus, we can say that the multiplicative inverse of any number 'a' is a-1 or 1/a.
What is the slope of the line y-7=8(x-14)
Answer:
The slope in point-slope form is the coefficient of the x term so the answer is 8.
Answer:
8
Step-by-step explanation:
y-y1=m(x-x1)
m=slope
here m=8
According to a 2011 publication, the average monthly expenditure of college students on coffee is $100. Given a standard deviation of $20, but with no confirmation of a normal distribution, what is the probability that the mean coffee expense of a randomly selected sample of 42 college students is greater than $90?
The Central Limit Theorem states that, given a sufficiently large sample size, the sampling distribution of the mean for a variable will approximate a normal distribution regardless of the underlying distribution of the variable. In this case, we have a sample size of 42, which is large enough for the Central Limit Theorem to apply.
The mean of the sampling distribution of the mean is equal to the population mean, which is $100. The standard deviation of the sampling distribution of the mean is equal to the population standard deviation divided by the square root of the sample size, which is $20 / sqrt(42) ≈ $3.08.
We can standardize to find the z-score for a sample mean of $90: z = ($90 - $100) / $3.08 ≈ -3.25. Using a z-table, we find that the probability of getting a z-score less than -3.25 is approximately 0.0006. Therefore, the probability that the mean coffee expense of a randomly selected sample of 42 college students is greater than $90 is approximately 1 - 0.0006 = 0.9994.
based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
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Factor this expression?
3x²-12x
A. 3x(x²2-4)
B. 3x(x-4)
C. 3(x²-4)
D. 3(x-4)
Answer:
\( \frac{3}{18} \times \frac{360}{1} \)
Answer:
The answer should be B or 3x(x-4)
Step-by-step explanation:
Hope this helped :)
What is the least common denominator of
Answer:
Step-by-step explanation:
Least common denominator
x - 1 is not going to be included because x - 1 is included in x^2 - 1
x^2 - 1 factors into (x - 1)(x+1) so you need only 1 x - 1.
You do however, need an x.
The answer is x(x + 1)(x - 1)
what is the answer for the question
\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$225\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &5 \end{cases} \\\\\\ A = 225[1+(0.06)(5)]\implies A=225(1.3) \implies A = 292.5\)
GIVING OUT BRAINLIEST TO WHOEVER CAN PROVIDE THE CORRECT ANSWER !! Asap
Answer:
look cuh yo no sabo cuhhhhhh
Step-by-step explanation:
no sabo weys
g given an input list, let's use list comprehension to generate a list of odd numbers from the input list
Input: list1 = [2, 7, 5, 64, 14]
Output: [7, 5]
Input: list2 = [12, 14, 95, 3, 73]
Output: [95, 3, 73]
Using for loop: Iterate each element in the list using for loop and check if num % 2 != 0. If the condition satisfies, then only print the number.
# Python program to print odd Numbers in a List
# list of numbers
list1 = [10, 21, 4, 45, 66, 93]
# iterating each number in the list
for num in list1:
# checking condition
if num % 2 != 0:
print(num, end=" ")
Output: 21 45 93
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can someone please help
Answer:
The measure of CD is 46
Step-by-step explanation:
From the midpoint theorem, we have,
FG = (1/2)CD
so,
\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)
Now,
\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)
What name (for example, odds, risk, relative risk) applies to each of the boldface numbers in the following quote?
"What they found was that women who smoked had a risk [of getting lung cancer] 20 times as great as nonsmoking women; in contrast, the risk for men who smoked regularly was only 10 times greater than that for male nonsmokers."
The boldface numbers in the quote represent measures of relative risk.
Why is this relative risk ?One way to measure the likelihood of an event happening in a particular group is to calculate the relative risk, which compares the probability of the event occurring in that group to the likelihood of the same event occurring in a different group.
The phrase highlighted in bold font, "20 times greater," denotes the proportionate hazard that female smokers face in comparison to their non-smoking counterparts. The second significant figure, which indicates a "10-fold increase," indicates the comparative risk for male smokers compared to non-smokers.
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Can you help me thanks!
Answer:
multiply
Step-by-step explanation:
You have to multiply.
Example:
\( {5}^{2} \)
You have to multiply 5x5 because it says
\( {5}^{2} \)
I need some help with this question.
Answer:
it is stq utv
Step-by-step explanation:
Answer:
its top right option
Step-by-step explanation:
Anyone help please solve 4!
What is the amplitude ? How do I find it? do I add -3.8 to 3.8 then divide? Thank you in advance
Answer:
7.6subtract the midline from the peak valueStep-by-step explanation:
The amplitude is the difference between the peak value (3.8) and the midline (-3.8). You find it by subtracting the midline from the peak:
amplitude = 3.8 -(-3.8)
amplitude = 7.6
What is the value of x?
X =
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the sides of this right triangle is ...
x² +8² = 10²
x² = 100 -64 = 36 . . . . subtract 8²
x = √36 . . . . . . . . . . take the square root
x = 6
Solve the equation to find a positive value of c:
62 + 82 = c2
(20 points)
Answer:
The equation has 2 solutions
c = -12
c = 12
Step-by-step explanation:
Swap the sides
c² = 62 = 82
Simplify the equation
c² = 144
separate the solutions
c = ± 12
Solution
c = -12
c = 12
if y is directly porportional to x^2 and the difference in the values of y when x=1 and x=3 is 32, find the value of y when x=-2
Answer:
Step-by-step explanation:
y=kx²
y₁=k(1)²=k
y₃=k(3)²=9k
y₁-y₃=k-9k=32
-8k=32
k=-4
y=-4x²
y₋₂=-4(-2)²=-16
Y=×
Shift left 2 units
The equation of the shifted line is y = x + 2
How to determine the transformationFrom the question, we have the following parameters that can be used in our computation:
y = x
Shift left 2 units
To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.
i.e. (x. y) = (x + 2, y)
So, we have the new equation to be y = x + 2
This is the same line as the original equation but shifted 2 units to the left.
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Question 1(Multiple Choice Worth 2 points) (Pythagorean Theorem LC) Determine which set of side measurements could be used to form a triangle. 13, 19, 7 25, 12, 13 18, 2, 24 3, 1, 5
Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:
13, 19, 7
25, 12, 13
18, 2, 24
The set of side measurements 3, 1, 5 could not form a triangle.
To determine which set of side measurements could form a triangle, we need to check if the sum of the lengths of the two shorter sides is greater than the length of the longest side. This is known as the Triangle Inequality Theorem.
Let's check each set of side measurements:
13, 19, 7:
The sum of the two shorter sides is 7 + 13 = 20, which is greater than the longest side (19). Therefore, this set of side measurements could form a triangle.
25, 12, 13:
The sum of the two shorter sides is 12 + 13 = 25, which is equal to the longest side (25). Therefore, this set of side measurements could form a triangle.
18, 2, 24:
The sum of the two shorter sides is 2 + 18 = 20, which is greater than the longest side (24). Therefore, this set of side measurements could form a triangle.
3, 1, 5:
The sum of the two shorter sides is 1 + 3 = 4, which is less than the longest side (5). Therefore, this set of side measurements could not form a triangle.
Based on the Triangle Inequality Theorem, the sets of side measurements that could form a triangle are:
13, 19, 7
25, 12, 13
18, 2, 24
The set of side measurements 3, 1, 5 could not form a triangle.
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3.76 is what percent of 47?
Answer:
3.76 is 8% of 47
Step-by-step explanation:
1. We assume, that the number 47 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 47, so we can write it down as 100%=47.
4. We know, that x% equals 3.76 of the output value, so we can write it down as x%=3.76.
5. Now we have two simple equations:
1) 100%=47
2) x%=3.76
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=47/3.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 3.76 is what percent of 47
100%/x%=47/3.76
(100/x)*x=(47/3.76)*x - we multiply both sides of the equation by x
100=12.5*x - we divide both sides of the equation by (12.5) to get x
100/12.5=x
8=x
x=8
now we have:
3.76 is 8% of 47
What is the length of x?
Answer:
The length of 'x' is 4
Step-by-step explanation:
We can use the pythagorean theorem to solve this.
The pythagorean theorem is:
\(a ^{2} + b^{2} = {c}^{2} \)
\(a ^{2} + b^{2} = c^{2} \\ {3}^{2} + {b}^{2} = 5^{2} \\ 9 + {b}^{2} = 25 \\ \frac{ - 9 \: \: \: \: \: \: \: \: = - 9}{b ^{2} = \sqrt{16} } \\ b = 4\)
Therefore x = 4
Help ASAP pls! everything is in the pic
x=0 is not the solution of this equation
you can put values and can check in these questions
A sample of a radioactive isotope had an initial mass of 470 mg in the year 2000 and decays exponentially over time. A measurement in the year 2003 found that the sample's mass had decayed to 260 mg. What would be the expected mass of the sample in the year 2013, to the nearest whole number?
Using the decay constant on the exponential function, the mass of the sample that will be left in 2013 is 35g
What is an Exponential FunctionAn exponential function is a function that can be expressed in the form f(x) = b^x, where b is a positive real number and x is a real number. The graph of an exponential function is a curve that increases or decreases rapidly as x increases or decreases.
In the exponential decay, the decay function can be given as;
y = ae⁻ⁿˣ
a = initial mass of samplen = disintegration constantx = timeThe disintegration constant is also know as the rate of decay and we can calculate it as;
260 = 470e⁻ⁿ⁽³⁾
n = 0.197
n = 0.2
The disintegration constant is 0.2
The amount left in 2013 will be;
y = 470e⁻⁽⁰.²⁾⁽¹³⁾
y = 34.90
The mass in 2013 is 35g
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Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=(4/3)x
Answer:
Step-by-step explanation:
Hello:
an equation for the line is : y =mx +b (m: is a slope )
perpendicular to the line described by : y = 4/3 x
So : product for two slopes = -1 means : m×4/3=-1
m = -3/4
now : y = -3/4 x+b
but this line :
through the point (4,2) : 2 =(-3/4)(4)+b....... b=5
conclusion :
the equation is : y = -3/4x +5
TIME REMAINING
44:54
The table below shows the number of cars sold each month for 5 months at two dealerships.
Cars Sold
Month
Admiral Autos
Countywide Cars
Jan
4
9
Feb
19
17
Mar
15
14
Apr
10
10
May
17
15
Which statements are supported by the data in the table? Check all that apply.
The mean number of cars sold in a month is the same at both dealerships.
The median number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The range of the number of cars sold is the same for both dealerships.
The data for Admiral Autos shows greater variability.
The statements supported by the data in the table are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
To determine which statements are supported by the data in the table, let's analyze the given information:
The mean number of cars sold in a month is the same at both dealerships.
To calculate the mean, we need to find the average number of cars sold each month at each dealership.
For Admiral Autos:
(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13
For Countywide Cars:
(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13
Since both dealerships have an average of 13 cars sold per month, the statement is supported.
The median number of cars sold in a month is the same at both dealerships.
To find the median, we arrange the numbers in ascending order and select the middle value.
For Admiral Autos: 4, 10, 15, 17, 19
Median = 15
For Countywide Cars: 9, 10, 14, 15, 17
Median = 14
Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.
The total number of cars sold is the same at both dealerships.
To find the total number of cars sold, we sum up the values for each dealership.
For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65
For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65
Since both dealerships sold a total of 65 cars, the statement is supported.
The range of the number of cars sold is the same for both dealerships.
The range is determined by subtracting the lowest value from the highest value.
For Admiral Autos: 19 - 4 = 15
For Countywide Cars: 17 - 9 = 8
Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.
The data for Admiral Autos shows greater variability.
To determine the variability, we can look at the range or consider the differences between each data point and the mean.
As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.
Based on the analysis, the statements supported by the data are:
The mean number of cars sold in a month is the same at both dealerships.
The total number of cars sold is the same at both dealerships.
The data for Admiral Autos shows greater variability.
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