The quotient of the expressions 99 m² n³-81m³n²-18mn and 3mn is 33mn² - 27m²n - 6
Finding the quotient of the expressionsFrom the question, we have the following parameters that can be used in our computation:
99 m² n³-81m³n²-18mn
__________________
3mn
To find the quotient of the expressions, we simply divide each term of the numerator by 3mn
Using the above as a guide, we have the following:
99 m² n³-81m³n²-18mn
__________________ = 33mn² - 27m²n - 6
3mn
Hence, the solution is 33mn² - 27m²n - 6
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find the exact value of x 15 6
The exact value of x in the right triangle is 3√10
Finding the exact value of x in the right triangleFrom the question, we have the following parameters that can be used in our computation:
Similar triangles
Using the theorem of corresponding sides in similar triangles, we have
x/15 = 6/x
When both sides of the equation are cross multplied, we have
x^2 = 90
Take the square root of both sides
So, we have
x = 3√10
Hence, the exact value of x is 3√10
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Fill in the blanks using the available answers
I believe the first part is 2.2. But lost on the fill in the blanks. Help please.
Note that the estimated population mean is 2.2
The mean absolute deviation is 1
The average distance each data value is from the mean is 1 hours per night
The distribution has _Low_ variability
How did we reach the above conclusions?Where the data graphed is:
Hours Per Night Students
0.5 0
1 2
1.5 3
2 4
2.5 2
3 2
3.5 1
4 1
The estimate of the population mean is
0.5 (0 ) + 1 ( 2) + 1.5( 3) + 2(4) + 2.5(2) + 3( 2 ) + 3.5( 1) + 4( 1) =3 3
⇒ 33 / 15
population Mean = 2.2
To find the Mean Absolute Deviation:
0.5 - 2.2 = - 1.7
1 - 2.2 = -1 .2
1.5 - 2.2 = - 0.7
2 - 2.2 = - 0.2
2.5 - 2.2 =0.3
3 - 2.2 = 0.8
3.5 - 2.2 = 1.3
4 - 2.2 = 1.8
The absolute deviations from the sample mean are
1.7 , 1.2, 0.7, 0.2 , 0.3, 0.8 , 1.3,1.8
Thus
(1.7 + 1.2 + 0.7 + 0.2+0.3 + 0.8 + 1.3 +1.8) / 8 = 8/8 = 1
Therefore, the M.A. D is 1 hours per nigh
For average distance each data value is from the mean...
|(-1.7)| + |( -1.2) | + | ( -0.7)| + |( -0.2 | + | 0.3| + | 0.8| + | 1.3 | + | 1.8 | = 8
8/ 8 = 1
So average distance of each data value form the mean is 1 hours per night.
We discovered that the M.A. D in this scenario is 1hr/ night. We may claim that the distribution has low variability because this number is quite tiny.
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What function is represented in the table?
Select one:
y = .5(4^x)
y = 2(.5^x)
y = .5(2^x)
y = 4(.5^x)
The function that represents in the table is y = 0.5(2^x)
Option C is the correct answer.
We have,
Looking at the table,
We can observe that as the value of x increases, the value of f(x) doubles.
This doubling of f(x) indicates that the base of the exponential function is 2.
Also, when x = 0, the value of f(x) is 0.5, which means that the y-intercept of the exponential function is 0.5.
Thus,
The function can be represented as y = 0.5(2^x).
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Forty people were asked their favorite kind of pizza. Thirty percent of the people surveyed chose sausage. How many people preferred sausage?
Answer: 12 people
Step-by-step explanation:
0.30 x 40 = 12
PLEASE HELP (WILL GIVE BRAINLIEST)
Answer: A: 50 ft
Step-by-step explanation:
We need to find the height of this composite figure. We can do so by using the volume formulas, (which include height).
Volume of Figure = Volume of Cylinder + Volume of Hemisphere
26,225.3 = pi r^2 h + 2/3 pi r^3
26,225.3 = pi 12^2 h + 2/3 pi 12^3
(26,225.3 - 2/3 pi 12^3)/pi 12^2 = h
this simplifies to about 50.
Hence your answer is A
Claire tried to subtract two polynomials which step did Claire make an error or are there no errors
A student transformed the system of
equations shown below by multiplying
the second equation by a constant and
then adding the resulting equation to the
first equation.
x + 4y = 12
3x - y = 10
Answer:
The answer to your problem is, 3x+6y=9 then -2x-4y=4
Step-by-step explanation:
So first we are going to multiply the first equation by 2 and second equation by 3 and add it.
If there is both x and y terms gets cancelled then we can say there were no solutions at all.
Shown;
A) -2x+4y=4
-3x+6y=6
Which then becomes;
-4x + 8y = 8
-9x + 18y = 18
For, -13x + 26y = 26
B) 3x+y=12-
3x+6y=6
Which we then multiply first equation by 2 and second equation by 3
6x + 2y = 24
-9x + 18x = 18
For, -3x + 20y = 42
C)3x+6y=9
-2x-4y=4
Again multiply first equation by 2 and second equation by 3
6x + 12y = 18
-6x - 12y = 12
Which can equal to:
30
Which both x and y terms becomes 0.
Thus the anwer to your problem is, 3x+6y=9 then -2x-4y=4
If diameter EF bisects BC, what is the angle of intersection?
Answer:
The angle of the intersection is 90 degrees
Step-by-step explanation:
How I know this is because EF is the diameter, which means that arc EF is equal to 180 degrees. Because we know this that means when it is spilt into two parts, the arc and angle measure has to be 90 degrees.
Another way to do this is to remember that a circle is 360 degrees and the circle is split into 4 parts. So all you have to do is divide 360/4 to get 90. Your answer.
geometry pls helpppppp
A graph of triangle TOW is shown below.
A graph of triangle T'O'W, the image of ΔTOW after a reflection in the y-axis is shown below.
The coordinates of ΔT'O'W are: T' (5, 6), O' (-1, 8), and W' (4, -2).
What is a reflection over the y-axis?In Mathematics and Geometry, a reflection over or across the y-axis is represented by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over or across the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
Next, we would apply a reflection over or across the x-axis;
(x, y) → (-x, y)
T (-5, 6) → (-(-5), 6) = T' (5, 6)
O (1, 8) → (-(-1), 8) = O' (-1, 8)
W (-4, -2) → (-(-4), -2) = W' (4, -2)
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Ok this isnt hard but i need help
Answer:
C is correct because parallel lines cut by a transversal form congruent alternate interior angles.
2 Mike and Anna are having a weight loss competition. Mike wants to practice kickboxing to burn calories while Anna
prefers to run. Mike records his calories burned in the table below and Anna graphs her calories burned in the graph.
Who burns more calories per hour?
Anna's Calories Burned:
Running
A. Mike and Anna burn the same amount
of calories per minute
B. Mike burns more calories per minute
thank Anna.
C. Anna burns more calories per minute
than Mike.
D. There is not enough information
to determine who burns more calories
per minute.
Mike's Calories Burned:
Kickboxing
Minutes
0
12
24
36
Calories
0
150
300
450
Calories Burned
y
500
450
400
350
300
250
200
150
100
50
5
10 15 20 25 30 35
Minutes
40 45
50
Based on the information regarding the data, B. Mike burns more calories per minute than Anna
How to explain the dataThe calorie consumption of Mike was between 12.5 and 16.67, averaging out at nearly 13.75 per minute.
In contrast, Anna burned around 13.33 each minute.
So the answer is B - Mike burns more calories per minute than Anna.
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what expression is not equivalent to 2/3 x 4
Answer:
there are no choices given but...
Step-by-step explanation:
this simplifies to 8/3, or 2 2/3
find the choice that isn't either of those ( is also 2.66666 repeating)
14. Describe a pattern in the numbers.
9, 12, 15, 18, 21, 24
if f(x)=x³-1 and g(x)=x²
find (gof) ( x) and (fog) (x)
Answer:
(x²)³ - 1 = x^6 - 1
Step-by-step explanation:
To find (gof)(x), we first need to evaluate g(x), which is x², and then use the result as input to f(x), giving us f(g(x)).
So, we have:
g(x) = x²
f(g(x)) = f(x²) = (x²)³ - 1 = x^6 - 1
Therefore, (gof)(x) = g(f(x)) = (f(x))² = (x³ - 1)² = x^6 - 2x^3 + 1.
To find (fog)(x), we first need to evaluate f(x), which is x³ - 1, and then use the result as input to g(x), giving us g(f(x)).
So, we have:
f(x) = x³ - 1
g(f(x)) = g(x³ - 1) = (x³ - 1)² = x^6 - 2x^3 + 1
Therefore, (fog)(x) = f(g(x)) = (x²)³ - 1 = x^6 - 1.