Answer:
Option D
Step-by-step explanation:
Given f(x) = \(\sqrt[3]{4x}\)
g(x) = 2x + 3
Since, \((\frac{f}{g})(x)=\frac{f(x)}{g(x)}\)
\(=\frac{\sqrt[3]{4x}}{2x+3}\)
This function is defined for the denominator is not equal to zero.
(2x + 3) ≠ 0
x ≠ \(-\frac{3}{2}\)
Therefore, Option D will be the correct option.
HELPP ME PLEASE
Which of the following linear equations is derived from the
table of values below?
Answer:I think it might be c I’m not 100% sure tho
Step-by-step explanation:
HELP HELP HELPPPP OMG
Answer:
hope it helps you.............!
If you know the answer please put the answer and the explanation thank you.
In the class, Lucy's score is 6.
How to work out Lucy's score?In statistics, the median is the middle value in a sorted, ascending or descending list of numbers. Thus, it represents the midpoint of the data.
The median is often compared with other descriptive statistics such as the mean (average), mode, and standard deviation.
Since Lucy is one of the 29 students in the class and her score was the same as the median score for her class.
Thus, the median score will be 15th score (i.e. the midpoint of 29). Using the frequency in of each score from the figure, let's keep adding the frequency until we reach 15 and we will then check the corresponding score at the 15th position:
2 + 2 + 4 + 7 = 15
Thus, the the corresponding score at the 15th position is 6.
Therefore, the median score is 6 and consequently Lucy's score is 6.
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-4 (x + 1) -3 = -3 (x -4)
Answer: x+1x2. Explanation: Given that. 1x+1x2. =x⋅1+1⋅1x2. =x+1x2.
Step-by-step explanation:
A positive integer is 6 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,9), then find the two integers.
The two integers are equal to 1 and 7 respectively.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Let x represent the smaller number. Then the given relationships say ...
1/x + 2/(x+6) = 9/7
Multiplying by 7x(x+6), we have ...
7(x+6) +14x = 9x(x+6)
9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides
9x² +33x = 42 . . . . . . . . ...subtract 21x
3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3
(3x +14)(x -1) = 0 . . . . . . . . factor
Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.
Therefore, the two integers are equal to 1 and 7 respectively.
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The general form of the equation of a circle is a X squared plus BY squared plus 3X plus 3Y plus Z equals zero wear a equals B does not equal zero is the circle has a radius of three units in the center lies on the Y axis, which set of values of a B C,D and E my correspond to the circle
The set of values that corresponds to the circle with a radius of three units and the center lying on the Y axis is:
A = 1, B = 1, C = 0, D = 3, E = 0.
The general equation of a circle is given by:
x^2 + y^2 + 2gx + 2fy + c = 0
In this case, since the circle has a radius of three units and the center lies on the Y axis, we can deduce the following information:
The center of the circle lies on the Y axis, which means the x-coordinate of the center is zero.
The radius of the circle is three units, which means the distance from the center to any point on the circle is three units.
Using the information above, we can substitute the values into the general equation to solve for the corresponding values:
Substituting the x-coordinate of the center (zero) into the equation, we have:
0^2 + y^2 + 2g(0) + 2fy + c = 0
y^2 + 2fy + c = 0
Since the center lies on the Y axis, the x-coordinate is zero, so the term with x (2gx) becomes zero.
Substituting the radius of the circle (three) into the equation, we have:
(3)^2 = 9
Therefore, the equation becomes:
y^2 + 2fy + c = 9
Comparing this equation with the general form of the circle equation, we can deduce the values of A, B, C, D, and E as follows:
A = 1 (coefficient of x^2)
B = 1 (coefficient of y^2)
C = 0 (constant term)
D = 3 (coefficient of x)
E = 0 (coefficient of y)
Hence, the set of values that corresponds to the circle is A = 1, B = 1, C = 0, D = 3, and E = 0.
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Does someone know the average rate of change of this equation????
The average rate of change of the equation is 7
How to determine average rate of change of a quadratic equation?
The average rate of change of an equation can be determine by using the formula below:
average rate of change = (f(x₂)- f(x₁)) / [x₂- x₁]
From the given information, f(x) = 2x²-5x-2 and x₁ = 2, x₂ = 4
average rate of change = ([2(4)²-5(4)-2] - ([2(2)²-5(2)-2]) / (4- 2)
average rate of change = (10-(-4)) / 2
average rate of change = 14/2
average rate of change = 7
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Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
Answer:
B
Step-by-step explanation:
\(\dfrac{a^{m}}{a^{n}}=a^{m-n} \ if \ m > n\\\\\\ \dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}} \ if \ n > m\\\)
\(\dfrac{16r^{6}z^{3}}{8r^{2}z^{6}}=\dfrac{2r^{6-2}}{z^{6-3}}\\\\ =\dfrac{2r^{4}}{z^{3}}\)
Sam deposits $1,000 in his savings account which will earn 2.5% interest. How much interest will Sam have earned after 2 years? *
Answer: $50, The account will have $50 in interest after 2 years.
Step-by-step explanation:
2.5% / 100 = 0.025
$1,000 * .025 = 25
25 * 2 = 50
A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27). The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true? Each strawberry contains 4 calories. Each strawberry contains 3 calories. Twenty-four strawberries contain 6 calories. Four strawberries contain 15 calories
Answer:
the answer is edge 2020 A
Step-by-step explanation:
each strawberry contains four calories
gaming legend
Answer:
Its A
Step-by-step explanation:
got it right on Edge
Rebecca ran 12 1/4 mile in 2 1/2 hours what was your average speed in miles per hour
Answer:
Your average speed was 3.29 Miles per hour (mph)
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Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
May I please get a little help with this question? Thank you so much.
The y-intercept of the function is (0, c)
The coefficients b determine the horizontal shift of the parabola compared to the parent function
If a is negative, the parabola opens downward
The y-intercept of the function is (0, c).
This means that when x = 0, the y-value is equal to c.
The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.
The coefficient b determines the horizontal shift of the parabola compared to the parent function.
The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.
A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.
If a is negative, the parabola opens downward.
The coefficient a determines the shape of the parabola.
If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.
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Nevada is almost twice the size of which country?
A. Algeria
B. Mauritania
C. Kenya
D. Democratic republic of the Congo
Answer:
Nevada is very small compared to the countries listed below. I don't understand.
Which point is on the graph of f(x) = 5*?
O A. (0, 5)
O B. (0, 0)
• C. (5, 1)
O D. (1, 5)
Answer is (1,5)
The point that is on the graph of the function \(F(x) = 5^x\) is given by:
D. (1,5).
Which points are on the graph of the function?The function is defined by:
\(F(x) = 5^x\)
When x = 0, \(F(x) = 5^0 = 1\), hence point (0,1) is on the graph of the function.
When x = 1, \(F(x) = 5^1 = 5\), hence point (1,5) is on the graph of the function, which means that option D is correct.
When x = 5, \(F(x) = 5^5 = 3125\), hence point (5,3125) is on the graph of the function.
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Question 1: Find the percent of change to the nearest tenth of a percent for Centerville
Question 2: Which town had the greatest percent of change
Question 3: What was the percent of change? (From your answer in Part B) Do Not Include 'Increase' or 'Decrease.' Round to the nearest whole percent.
Answer:
Sorry just trying to get points
The tables represent the points earned in each game for a season by two football teams.
Panthers
14 10 10
10 17 3
28 13 17
32 16 10
14 7 21
Cowboys
10 3 8
6 24 12
21 3 10
28 28 7
7 13 3
Which team had the best overall record for the season? Determine the best measure of center to compare and explain your answer.
Panthers; they have a larger median value of 14 points
Cowboys; they have a larger median value of 10 points
Panthers; they have a larger mean value of about 14.8 points
Cowboys; they have a larger mean value of about 12.2 points
Answer:
Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.
Step-by-step explanation:
To compare the measures of center, we can calculate the mean and median points earned by each team:
Panthers: Mean = 212/15 = 14.13 points, Median = 14 points
Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points
Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.
So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).
Given: angle EGF = 60° and Angle AGF = 90°. Prove: AGB = 30
I need two column proof btw
Step-by-step explanation:
you you can state that angles in a triangle add up to 180° and 180 degrees - 90 + 60 is equals to 30 degrees
Explain the difference between a greatest common factor and a least common multpule
Answer:
The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.
Have a good day
For a school project, Leah is investigating cell phone use in her hometown, Georgetown. So far, she has found that the residents of Georgetown used their cell phones for 463,090 minutes last year. This year, they used their cell phones for a total of 370,472 minutes. What is the percent of decrease in annual usage?
Answer:
19.99%
Step-by-step explanation:
hope this helps
here you go
I need help please I can only find 2 of these solutions
Step 1: Isolate the Sin Operator
\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)
Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable
Note that since trig functions have 2 general solutions, this will give us one of our general solutions.
\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)
x₁= 0.48
Solving for x₂
Use the period identity for Sin Functions
\(sin(x)=sin(\pi -x)\)
X in this case is arcsin(0.25)
\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)
So our two general solutions are 0.48 and 5.52
Step 3: Period
Trig Functions have periodic behavior and this function period is
\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)
So our general solutions are
0.48±12k, where k is an integer
5.52±12k, where k is an integer
Let k=1, and we get our next set of solutions:
12.48 and 17.52
So our answer is 0.48,5.52,12.48,17.52
a bank teller. helps two customers omar makes a $15 withdrawal so he balance changes by -$15. jakes makes a $10 deposit so his balance changesby $10
Answer:
D. Omar's transaction involves more money, because |-15| is greater than |10|.
Step-by-step explanation:
The absolute value of a number is simply the magnitude or numerical value of a number while ignoring any sign attached to it. For example, given that x is a real number, absolute value of x, |x| = x. The absolute value of x does not take account of any sign attached to it.
Thus:
The absolute value of Omar's transaction is given as |-15| = 15.
While that of Jake is |10| = 10.
15 is greater than 10.
Therefore, we can conclude that:
"Omar's transaction involves more money, because |-15| is greater than |10|."
Answer:
The answer is D
Step-by-step explanation:
Find the Interpret the mean absolute deviation of the data 1/4,5/8,3/8,3/4,1/2
The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.
To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:
Step 1: Find the mean (average) of the data set.
Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5
Step 2: Calculate the difference between each data point and the mean.
Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|
Step 3: Calculate the absolute value of each difference.
Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10
Step 4: Find the average of the absolute differences.
MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20
The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.
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This describes an airplane's flight:
A. Takes off from the ground
B. Maintains the same elevation
C. Descends back to the ground
Drag one segment to each box to show the shape of the graph of the airplane's elevation for each interval of time.
If a = 2 and b = 3, what is the value of 2a³b2?
Answer:384
Step-by-step explanation:
first you multiply 2 times 2= 4 then 4 times 4 times 4= 64 then you multiply 3 times 2= 6 lastly you multiply 6 and 64. your welcome:)
PLEASE ANDWER FAST
Sora is also making a salad. Her salad dressing recipe uses 6 teaspoons of vinegar for every 15
teaspoons of olive oil.
2.1 How much vinegar does Sora need for 5 teaspoons of olive oil?
2.2 How much olive oil does Sora need for 8 teaspoons of vinegar?
2.3 If Sora makes 42 teaspoons of salad dressing, how much of each ingredient is in it?
2.4 If Sora makes 14 teaspoons of salad dressing, how much of each ingredient is in it?
The following answers are given as:
2.1)
2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.
2.2)
8 teaspoons of vinegar are needed for 20 teaspoons of olive oil.
2.3)
There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.
2.4)
There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
6 teaspoons of vinegar = 15 teaspoons of olive oil.
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Now,
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Multiply 2 on both sides.
2 teaspoons of vinegar = 5 teaspoons of olive oil.
Now,
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Multiply 8 on both sides.
8 teaspoons of vinegar = 20 teaspoons of olive oil.
Now,
Total number of teaspoons = 42
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Multiply 12 on both sides.
12 teaspoons of vinegar = 30 teaspoons of olive oil.
12 + 30 = 42 teaspoons
Now,
1 teaspoon of vinegar = 5/2 teaspoons of olive oil.
Multiply 4 on both sides.
4 teaspoons of vinegar = 10 teaspoons of olive oil.
4 + 10 = 14 teaspoons
Thus,
2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.
8 teaspoons of vinegar are needed for 20 teaspoons of olive oil.
There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.
There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.
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Question 3
A group of 5 people went to the movies and spent $44 on food and drink. The total amount spent, including
tickets, was $98.50.
What was the price, in dollars, of one ticket?
Answer:
One ticket cost $10.90.
Step-by-step explanation:
The total spent was $98.50--food, drinks, admission--everything.
$44.00 was for food and drinks.
We can take the 44 away from the total.
98.50 - 44.00
= 54.50
They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.
54.50 ÷ 5 = 10.90
The price of one ticket was $10.90
To make this look like algebra class...
let x = the price of one ticket
5x = the price of 5 tickets
5x + 44 = 98.50
subtract 44
5x = 54.50
divide by 5
x = 10.90
1. How many degrees are in this angle, which is one-fourth of the circle?
Answer: 90 degrees
Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide
360/4 = 90 (: hope this helps
Answer:
90* x 4 = 360*
360* / 4 = 90*
Step-by-step explanation:
A circle has 360* all around.
In the angle that was drawn, it is 90*
The degrees for the space outside of 90* is x
x = ? 360* - 90* = 280* x = 280*
hope this helped
What is the next term in the pattern? 1,1,5,17,71,247
Answer: 1085
Step-by-step explanation:
work out the area of the circle
take pi to be 3.142 give your answer to 1 decimal place
radius 8
The area of the circle with the given radius is 201.088 square units.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the radius of a circle is 8 units.
Here, area of a circle
= 3.142×8²
= 3.142×64
= 201.088 square units
Therefore, the area of the circle is 201.088 square units.
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