Answer:
y = -1/4x - 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points from the graph.
Point (-4, -5)
y-intercept (0, -6)
Step 2: Find slope m
Substitute: \(m=\frac{-6+5}{0+4}\)Add: \(m=\frac{-1}{4}\)Step 3: Write linear function
y = -1/4x - 6
which graph represents f(x)=log3x 1?
The correct option A: graph A, shows the logarithmic function;
f(x) = log₃x + 1
Explain the term logarithmic function?The opposite of such an exponential function is a logarithmic function. A log function and then an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function be expressed. The formula again for logarithmic function is f(x) = log base b of x.f(x) = log₃x + 1
When x = 1f(1) = log₃1 + 1
f(1) = 0 + 1
f(1) = 1
(1, 1)
When x = 3f(3) = log₃3 + 1
f(3) = 1 + 1
f(3) = 2
(3, 2)
Thus, the graph must contain the points (1, 1), (3, 2).
Therefore, graph A define the given logarithmic function;
f(x) = log₃x + 1.
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9.35 9.323 9.42 9.3 9.305 9.371 least to greatest
Answer:
The rear number is always the one to look at
9.42, 9.371,9.35,9.32,9.305,9.03
Step-by-step explanation:
Answer:
I hope this helps :)
Step-by-step explanation:
9.3 - Least
9.305
9.323
9.35
9.371
9.42 - Greatest
The places without a number still have a zero there, it's just a placeholder so it doesn't change the value at all in this case that is. :)
Why are Fortune 500 companies engaging, in blogging? What sources capital for a project by raising many small amounts from a large number of individuals, typically via the Internet?
A popular way for people to share information and thoughts with others online is through blogging.
A blog is a conversation or informational website published on the World Wide Web that is composed of discrete, frequently informal diary-style text posts, according to the definition of a blog provided by Wikipedia.
This has given rise to a brand-new trend where everyone may now voice their opinions on a given subject.
Other phenomena and artefacts, such as analogue signals, poetry, photographs, music, or other sounds, as well as electrical currents, transmit information in a more continuous manner than do digital signals and other data, which employ discrete signs or algebras to do so.
Information itself is not knowledge, but how it is interpreted is crucial. Raw information can also take the shape of structured data. A collection of data may contain information that may be extracted through analysis by analysts who are experts in their field.
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Petrol costs $1.65 per litre. Calculate how much, correct to the nearest cent, the
petrol will cost Anne for a journey of 120km.
The petrol cost for Anne's journey of 120km is $16.236
How to find the cost for 120 km?Her car has a fuel consumption of 8.2 litres per 100 km .
Therefore,
100 km = 8.2 litres
120 km = ?
cross multiply
volume(litres) = 8.2 × 120 / 100 = 984 / 100 = 9.84 litres
Therefore,
1 litres = 1.65 dollars
9.84 litres = ?
cross multiply
cost of fuel used = 1.65 × 9.84 / 1
cost of fuel used = $16.236
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Can u please answer this asap and thank you
Answer:
10 popcorn orders
Step-by-step explanation:
\(10 + 4.55 x = 8 + 4.75x \\ 4.55x - 4.75x = 8 - 10 \\ - 0.2x = 8 - 10 \\ - 0.2x = - 2 \\ x = \frac{ - 2}{ - 0.2} \\ x = 10\)
2. Each of the bracelets that Veronica made has 45 beeds. Shemede 4 bracelets.
How many total beads did she use?
Answer:
180 total beads used
Step-by-step explanation:
=) have a good day
A bag contains red and blue marbles, such that the probability of drawing a blue marble is an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. What is the range of the random variable? a. {1, 2, 3} c. {6, 7, 8} b. {0, 1, 2} d. {8, 9, 10} Please select the best answer from the choices provided A B C D
Answer:
Step-by-step explanation:
a
Name and locate points in all four quadrants of the coordinate plane.
plss help i’ll give brainliest thank you!
Answer:
36
Step-by-step explanation:
The formula of LCM is LCM(a,b) = ( a × b) / GCF (a,b)
The Greatest Common Factor of (9,12) = 3
Therefore
LCM of 9 and 12 = (9 × 12) / 3
= 108/3 = 36
LCM of 9 and 12 = 36
Irrespective of the method, the solution to our question LCM of 9 and 12 is the same.
Therefore, LCM of 9 and 12 is 36
Find the solution of the equation.
b – 12 = –8
A 4
B 20
C -4
D -20
please help em im so stuck
A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
The volume of a triangular prism is given as,
V = 1/2 x base x height x length
The height of the rectangular prism is 2.5 cm
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The volume of a triangular prism is given as,
V = 1/2 x base x height x length
Now,
From the given figure we see that,
base = 4 cm
Length = 7 cm
Volume = 35 cm³
Now,
35 = 1/2 x 4 x height x 7
35 = 2 x height x 7
height = 35 / 14
height = 5/2
height = 2.5 cm
Thus,
The height of the rectangular prism is 2.5 cm
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(1 point) show that the vector field f=yz2i xz2j 2xyzk is conservative by finding a scalar potential f
The vector field F = yz²i + xz²j + 2xyzk is shown to be conservative by finding a scalar potential function φ(x, y, z) = xyz² + C, where C is a constant. This demonstrates that F can be expressed as the gradient of φ, confirming its conservativeness.
To show that the vector field F = yz²i + xz²j + 2xyzk is conservative, we need to find a scalar potential function, φ, such that F = ∇φ.
Let's compute the partial derivatives of φ with respect to x, y, and z:
∂φ/∂x = yz²
∂φ/∂y = xz²
∂φ/∂z = 2xyz
Now, we will integrate each partial derivative to find φ:
1) Integrate ∂φ/∂x with respect to x:
φ(x, y, z) = xyz² + g(y, z)
2) Integrate ∂φ/∂y with respect to y:
φ(x, y, z) = xyz² + h(x, z)
Comparing the results from (1) and (2), we can conclude that g(y, z) = h(x, z) = constant, let's call it C.
3) Integrate ∂φ/∂z with respect to z:
φ(x, y, z) = xyz² + C
Therefore, the scalar potential function for the given vector field is φ(x, y, z) = xyz² + C, which shows that the vector field is conservative.
The correct question is :
show that the vector field F = yz²i + xz²j + 2xyzk is conservative by finding a scalar potential.
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Mark the points A(5, 5) and B(7.2). Draw a circle that has point A as the center and passes through point B. Measure and label the length of a
radius of the circle. What is the radius of circle A?
Answer:
i think 4 units im not sure though though
Step-by-step explanation:
Answer:
The radius of the circle A is 3.61 units.
Step-by-step explanation:
Got it right on edmentum
–2 • 4? what is the anserw do you now
Answer:
Step-by-step explanation:
-8 because a negative times a positive is a negative so w times 4 equals I and since it’s a negative sign it’s -8
The Bandwagon fallacy occurs when someone attacks an idea by using irrelevant information.
true or False?
False. The bandwagon fallacy is when someone believes that an argument is valid because most people believe it to be true.
The idea is that since everyone believes it, then it must be true. It is also called an argument from popularity, argumentum ad populum, appeal to the masses, appeal to belief, and consensus fallacy.The fallacy occurs when one claims that an idea is true or false because many other people believe it to be so.
The fallacy works because humans are social animals and they tend to believe things that others believe. Therefore, when people see that many others believe in an idea, they are more likely to accept it as true without giving much thought to whether it is actually true or not. The bandwagon fallacy is a logical error because the truth of an idea does not depend on how many people believe it.
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Petrov ran 7 miles around a track. Each lap around the track is a distance of 1/4 mile. What is the total distance Petrov ran in feet?
Answer:
vhjcxvhvhjvjdbkds
Step-by-step explanation:
good day
please also explain how
(3) How do you cut a 14 inch pizza into three pieces of equal area using two parallel cuts? (Assume the cuts are placed symmetrically from the center.)
To cut a 14-inch pizza into three equal area pieces using two parallel cuts placed symmetrically from the center, each piece will have an area of 150.
As we need to cut a 14-inch pizza into three pieces of equal area using two parallel cuts, we have to follow the steps given below
:Step 1: Cut the pizza with a line that goes through the center of the pizza and marks its diameter. This cut separates the pizza into two equal halves.
Step 2: The second cut needs to be made parallel to the first cut and needs to be at a distance of approximately 1/3 the diameter of the pizza from the first cut.
Step 3: Then, the pizza will be separated into three equal area pieces as required. As we have to cut the pizza into three equal area pieces, the area of each piece will be 150 square inches.
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Part 2 - Find the error(s) and solve the problem correctly.
Use synthetic division to determine if x +3 is a factor of the given polynomial.
If so, what are the other factors. If not, why not?
Yes, x + 3 is a factor of 2x³ + 7x² + 3 and the rest two factors of this expression are, (x + 1)(x + 2)
What is division?Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.
We denote division by '÷' this symbol.
Given that,
2x³ + 7x² + 3
÷ x + 3
____________
2x² + x + 3
-(2x² + 3x + 3)
____________
0
So, 2x² + x + 3 is a another part of expression 2x³ + 7x² + 3
Factors of 2x² + x + 3,
It can be written as,
2x² + x + 3 = (x + 1)(x + 2)
Hence, Rest two factors are (x + 1) & (x + 2)
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A structural break occurs when we see A. an unexpected shift in time-series data. B. a number of outliers in cross-section data. C. a general upward trend over time in time-series data. D. an independent variable is correlated with the dependent variable but there is no theoretical justification on for the relationship.
A structural break occurs when we see A. an unexpected shift in time-series data.
It is the change in a time series's data-generating mechanism, it is a phenomenon that occurs when a significant event or structural shift in the economy alters the underlying data-generating mechanism. A structural break can happen for several reasons, including natural catastrophes, changes in economic policy, new inventions, and other reasons that alter the way the data is generated.
In the presence of a structural break, we can't assume that the relationships between variables before and after the break are the same. The primary objective of identifying structural breaks in the time-series is to detect changes in the behavior of the series over time, such as changes in the variance of the series, changes in the mean of the series, and changes in the covariance of the series. So therefore the correct answer is A. an unexpected shift in time-series data, the structural break occurs.
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CA cylinder has a volume of 288 pi cubic meters and a height of 9 meters. What is the area of the base?
32 pi square meters
18 pi square meters
279 pi square meters
2,592 pi square meters
Answer:
The area base of the cylinder is 32 pi square meters which is correct option(A).
Step-by-step explanation:
The volume of a cylinder is equal to the product of area of circular base and height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it
V = A × h, where
A = area of the base
h = height
The base of a circular cylinder is a circle and the area of a circle of radius 'r' is πr². Thus, the volume (V) of a circular cylinder, using the formula, is, V = πr²h
where , 'r' is the radius of the base (circle) of the cylinder
'h' is the height of the cylinder
π is a constant whose value is either 22/7 (or) 3.142.
Given data,
The volume of cylinder = 288π cubic meters
V = πr²h
Substitute the value of V in the formula
288π = π(r²)(9)
Divided by π both the sides,
288 = 9 r²
288/9 = r²
32 = r²
r² = 32
r ≈ 5.65 meters
The area base (circle) of the cylinder = πr²
Substitute the value of r in the formula,
The area base of the cylinder = π(5.65)²
The area base of the cylinder = π(32)
The area base of the cylinder = 32π
Hence, the area base of the cylinder is 32π square meters.
hope this helps gangy
Answer:
32π square meters
Step-by-step explanation:
Use the volume of cylinder formula: V = πr²h:
288π = πr² x 9
Make r² the subject of the formula:
r² = 288π divided by 9π = 32
Now we know r² = 32, we use the circle area formula as the base of the cylinder is a circle:
πr² = formula to find area of circle
π x 32 (which is r²) = 32π m² (square meters)
Hope this answers your question!
Use the image to answer the question. A coordinate plane with four quadrants shows the x- and y-axes ranging from negative 5 to 5 in increments of 1. A solid line and a dotted line intersect each other. The equation of the solid line is x minus 5 y equals 3. The equation of the dotted line is 3 x minus 2 y equals negative 4. The intersection of both lines is shown at negative 2 on the x-axis and negative 1 on the y-axis in quadrant 3.
Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4. Find the solution to both equations.(1 point)
The intersection point is ()
The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.
Find the solution to both equations?One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:
x - 5y = 3
x = 5y + 3
Now we can substitute this expression for x into the second equation:
3x - 2y = -4
3(5y + 3) - 2y = -4
15y + 9 - 2y = -4
13y = -13
y = -1
We can now substitute this value for y back into either equation to find the value of x:
x - 5y = 3
x - 5(-1) = 3
x + 5 = 3
x = -2
Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.
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Please help, thank you!
f(x) = square root x-3
g(x) = x^2 +3
Use composition to verify whether the functions are inverses of each other. If the functions are inverses, what is f(g(x))?
A) The functions are not inverses of each other.
B) The functions are inverses. f(g(x)) = 1
C) The functions are inverses. f(g(x)) = x^2
D) The functions are inverses. f(g(x)) = x
30°
90°
X = ???????
Answer:
x = 90°
Step-by-step explanation:
'x' plus the 90° next to it form a straight line , which is 180°
Answer:
Step-by-step explanation:
That is a rhombus, the properties of a rhombus say that diagonals bisect each other perpendicularly meaning the meet at a right angle.
x is simply 90°
or you can use the reason that x and 90° are on a straight line meaning x+90°=180°
x=180°-90°
∴x=90°
Calculate the mean of 66,73,65,60
Answer:
66
Step-by-step explanation:
The mean is the average, to find you add all the numbers up and then divide by the amount of numbers you added.
66+73+65+60 = 264
264 : 4 = 66
I hope this helps :0)
While using bisection method to find the solution of the equation f(x)=x⁴ +3x-2=0 on interval [0, 1], after the first step the interval becomes ___
While using bisection method to find the solution of the equation f(x)=x⁴ +3x-2=0 on interval [0, 1], after the first step of the bisection method, the interval becomes [0.5, 1].
To use the bisection method to find the solution of the equation f(x) = x⁴ + 3x - 2 = 0 on the interval [0, 1], we start by evaluating the function at the endpoints of the interval.
f(0) = 0⁴ + 3(0) - 2 = -2
f(1) = 1⁴ + 3(1) - 2 = 2
Since the function changes sign on the interval [0, 1] (f(0) < 0 and f(1) > 0), we can conclude that there is at least one root within this interval.
The bisection method involves iteratively dividing the interval in half and selecting the subinterval where the function changes sign. In each iteration, we calculate the midpoint of the interval and evaluate the function at that point.
After the first step, we find the midpoint of the interval [0, 1]:
midpoint = (0 + 1) / 2 = 0.5
We then evaluate the function at the midpoint:
f(0.5) = (0.5)⁴ + 3(0.5) - 2 = -0.375
Since f(0.5) is negative, we can update our interval to [0.5, 1]. The new interval now contains the root of the equation.
This updated interval allows us to continue the bisection method and refine our approximation of the root of the equation f(x) = x⁴ + 3x - 2 = 0 within the specified interval.
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\(3x-y=17\\x+4y=10\) how can you tell that there is only one solution
a wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in living trees. how long ago, to the nearest year, was the artifact made? note: the half-life of carbon-14 is 5730 years.
Using the properties of half-life we calculate the artifact was made in 6601 years ago.
Given that
The percentage of the carbon-14 remaining
We have the percentage of the carbon-14 remaining :
w = 45%
we can convert it into a decimal
w = 45/100 = 0.45
The half of carbon-14 is :
T = 5730 year
According to radioactive decay equation :
ln(w) = - kt
Rearranging the rate constant in terms of half - life :
k = ln(2)/T
we obtain :
ln(w) = - ln(2)/T× t
Finally solving for time :
t = - T ln(w) /ln(2)
t = - (5730×ln(0.45))/ln(2)
t = 6601 year
Therefore the age of the artifact about is
t = 6601 year
Thus, we get the age of the artifact to be 6601 years.
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Convert 20 milligrams into grams.
Can somebody help ?
Answer:
0.02
Step-by-step explanation:
Answer:
20 = 0.02
milligrams gram
Step-by-step explanation:
divide the mass value by 1000
i study
when can a correlation coefficient based on an observational study be used to support a claim of cause and effect?NeverWhen the correlation coefficient is close to -1 or +1.When the correlation coefficient is equal to -1 or +1.When the scatterplot of the data has little vertical variation.
A correlation between 0 and -1 or 0 and 1 indicates a weaker correlation, but still a statistically significant one.
A correlation coefficient based on an observational study can be used to support a claim of cause and effect when the correlation coefficient is statistically significant. This means that the correlation coefficient is so strong that it is unlikely to have happened by chance, and that there is likely a causal relationship between the two variables.
Mathematically, correlation coefficients are expressed as a number between -1 and 1.
A correlation coefficient of -1 indicates a perfectly negative correlation, where as one variable increases, the other decreases, and vice versa.
A correlation coefficient of 1 indicates a perfectly positive correlation where both variables move in the same direction.
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