The Correct Question is ......
Question :
Choose the simplified form of the fifth term of ⁶C₄ (2x)² (-y²)⁴
Answer: D. 60x²y⁸ is the simplified form of the fifth term of the
expansion ⁶C₄ (2x)² (-y²)⁴.
What is an Expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
This math operation can be addition, subtraction, multiplication, or division.
According to the Given Expression,
⁶C₄ (2x)² (-y²)⁴
The value of the combination can be written as,
[tex]= [\frac{6!}{4!(6-4)!} ] (2x)^{2} (-y^{2})^{4}[/tex]
= 15 (4x²) (-y²)⁴
The value of y can be written as,
= 15 (4x²) y⁸
= 60 x²y⁸
Therefore,
The value of the expression ⁶C₄ (2x)² (-y²)⁴ is 60x²y⁸.
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0.84(7/6)^x Find the rate of growth/decay.
In accordance with the comparison of the given expression to the definition of exponential function, we conclude that the rate of growth is 1/6.
How to determine the rate of growth of an exponential function
In this question we need to analyze an exponential function of the form:
y = a · (1 + r)ˣ (1)
Where r is the growth rate. Please notice that there is a decay for r < 0. Thus, we find the following finding by comparing the given expression to (1):
y = 0.84 · (1 + 1/6)ˣ
In accordance with the comparison of the given expression to the definition of exponential function, we conclude that the rate of growth is 1/6.
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Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. what is the area of the top surface of this wedge? , 1 of 2. select choice square centimeters
Using the area of a sector formula, we get the area to be:
[tex]\pi (10)^{2} \left(\frac{45}{360} \right)=\boxed{12.5\pi \text{ cm}^{2}}[/tex]
the interest paid for borrowing qn amount of money for 3yrs at the rate of 4%is n108 find the amount of the money borrowed
The amount of the money borrowed is 864.941
So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x where r is the growth rate (interest rate)
So the equation can be written as
m=(1.04)^t
Where m represents the amount of money over time, P represents the principal amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount
[tex]I=P(1.04)^t-P[/tex] where I represent the interest paid.
plug the values into the equation
[tex]108=P(1.04)^3-P\\P=864.941[/tex]
Therefore the amount of the money borrowed is 864.941.
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Select the correct answer.
As part of a community-service project, a local club has decided to paint 864 walls across town. The club has 36 volunteers. If the work is divided evenly, how many walls must each volunteer paint?
A.
24
B.
29
C.
34
D.
39
The 24 walls must paint by each volunteer if the work is divided evenly and the club has 36 volunteers.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
As part of a community-service project, a local club has decided to paint 864 walls across town. The club has 36 volunteers.
Total number of volunteers = 36
Number of walls = 864
The number of walls each volunteer paint can be expressed as a fraction:
= 864/36
= 24
Thus, the 24 walls must paint by each volunteer if the work is divided evenly and the club has 36 volunteers.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?
The range of the function f(x) = 3x3 when its domain is {2, 5} is
The range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}
Domain and range of a functionThe domain is the independent value for which a function exists.
Given the function below;
f(x) = 3x^3
If the domain of the function is {2, 5}, the range are;
If x = 2
f(2) = 3(2)^3
f(2) = 3(8)
f(2) = 24
If x = 5
f(5) = 3(5)^3
f(5) = 3(125)
f(5) = 375
Hence the range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}
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Solve for x.
Enter your answer in the box.
x = ...°
(Please refer to attached image.)
Answer:
132
Step-by-step explanation:
6 angles plug in for n
(n-2)*180
4*180
720 degrees in all
subtract all other angles
Which graph is an example of a function whose parent function is y = StartRoot x EndRoot?
On a coordinate plane, a curve starts at (negative 1, negative 1) and then curves up and to the right into quadrant 1.
On a coordinate plane, a parabola has a vertex at (0, 1).
On a coordinate plane, 2 curves are shown. Both curves have an asymptote at x = negative 1. One curved decreases from quadrant 2 into quadrant 1 and approaches y = 1. It crosses the y-axis at (0, 2). The other curve approaches y = 1 in quadrant 1 and then curves down and approaches y = negative 1 in quadrant 3. It crosses the x-axis at (negative 2, 0).
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
Using translation concepts, the graph of a translated function of [tex]y = \sqrt{x}[/tex] is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
[tex]y = \sqrt{x}[/tex] starts at (0,0) and in it's entirety, is in quadrant 1. When it is shifted down and left, it will start on quadrant 3 and increase into quadrant 1, hence the correct option is given by:
On a coordinate plane, a curve starts in quadrant 3 and then increases into quadrant 1. It crosses the y-axis at (0, negative 2) and crosses the x-axis at (1.5, 0).
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Answer:
A
Step-by-step explanation:
I took it
Which of the following parent functions has a domain and range of all real
numbers, excluding the origin?
Sorry, I think my answer to your question is wrong.
There are 135 people in a sport centre.
73 people use the gym.
59 people use the swimming pool.
31 people use the track.
19 people use the gym and the pool.
9 people use the pool and the track.
16 people use the gym and the track.
4 people use all three facilities.
How many people didn't use any facilities?
Answer:
200wuwusjjdhsuauuaiajjduwiqisidiwiwia
Answer:
n(U) = n(G)+n(S)+n(T)-n(GnS)-n(GnT)-n(TnS)+n(GnTnS) + n(GnTnS)^c
135= 73+59+31-19-9-16+4+ n(GnTnS)^c
no. of people not using any facility =12
Use the grouping method to factor x³ + x² + 3x+3.
A. (x²+1)(x+3)
B. x(x+3)(x + 1)
C. (x + 1)(x+3)
D. (x + 1)(x2+3)
Answer:
D. [tex](x + 1)(x^2 + 3)[/tex]
Step-by-step explanation:
Hello!
We can group the first two terms and the last two terms.
Factor by Grouping[tex]x^2 + x^2 + 3x + 3[/tex][tex]x^2(x + 1) + 3(x + 1)[/tex][tex](x^2 + 3)(x + 1)[/tex]Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.
In the second step, we can see that we can rewrite [tex]x^3 + x^2[/tex] as [tex]x^2(x + 1)[/tex], as both the two terms share a common factor of [tex]x^2[/tex]. We can pull out [tex]x^2[/tex] from that expression. Similarly, [tex]3x[/tex] and [tex]3[/tex] share a common factor of [tex]3[/tex], so we can pull that out.
Which table can be created using the equation below?
-2 + 4x = y
X
y
-5-22
0
3
X
y
-22 -5
-2 0
10
3
X
-5
0
-2
10
03
y
-18
-2
10
Answer:
h
Step-by-step explanation:
h
What is the scale factor of a drawing if the scale is 1 inch equals 4 feet
Answer:
the scale factor of a drawing=1:4
What is the slope of this line? 4 34 −34 −3 Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
The required slope of the line given by m = -3/4.
The slope of the given y = -3/4x+2 is m, the line passes from (0, 2) and (4, -1)
A line can be defined by a shortest distance between two points is called as a line.
equation of the given line is |
y =[tex]\frac{-3}{4}[/tex]x + 2
slope of the given line is given by comparing it to standard equation
y = mx + c
by comparing
m= -3/4
Which required slope of the line.
Since we have two points on line begin or end point (0, 2) and (4, -1) respectively. This satisfies the equation while putting it into the equation.
Thus the required slope of line y =[tex]\frac{-3}{4}[/tex]x + 2is given by m= -3/4 , This line passes through points (0, 2) and (4, -1).
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The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store for the previous year.
Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points)
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)
#1
Take any two points
(3,24)(6,48)Slope
m=48-24/6-3m=24/3m=8#2
(3,21)(6,42)Slope:-
m=42-21/6-3m=21/3m=7Difference
1$Answer:
Part a you find the rate of change by finding the slope of the line the value is 8 it is (y2-y1)/(x2-x1) 48-24/6-3=24/3=8
Part b current year is 8 dollars a bushel and previous year is 7 dollars
Step-by-step explanation:
What is the sum of 4 + (-6)?
Answer:
-2
Step-by-step explanation:
4 + (-6) = -2
PLEASE HELP
using the data that was collected,
determine the experimental probability of each outcome of
the die over the course of three games and write as a fraction, decimal, and percentage.
When the dice is rolled 14 times then from the given data the probability of 1,2,3,4,5,6 is 3/14,1/14,4/14,1/14,3/14,2,14.
Given Roll of dice and outcomes from 1 to 14 is 1,3,5,4,5,3,3,1,3,5,6,1,6,2.
From the given collected data we can find out number of times each number came when the dice is rolled.
Number of times 1 came=3
Number of times 2 came=1
Number of times 3 came=4
Number of times 4 came=1
Number of times 5 came=3
Number of times 6 came=2
The probabilities are in fraction form:
P(1)=3/14
P(2)=1/14
P(3)=4/14
P(4)=1/14
P(5)=3/14
P(6)=2/14
The probabilities in decimal form:
P(1)=0.21
P(2)=0.07
P(3)=0.28
P(4)=0.07
P(5)=0.21
P(6)=0.14
The probabilities in percentage:
P(1)=21%
P(2)=7%
P(3)=28%
P(4)=7%
P(5)=21%
P(6)=14%
Hence the probabilities are 3/14,1/14,4/14,1/14,3/14,2,14.
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On a number line, 1.43 would be located ______. Choose all answers that make a true statement.
1.43
《--|----|----|----|----|----|----|----|----|----|--》
A. to the left of 1.41
B. between 1 and 2
C. between 1.42 and 1.44
D. to the right of 1.45
Answer:
B and C
Step-by-step explanation:
Select the correct answer from each drop-down menu.
The function f is given by the table of values as shown below.
Drop down box options:
The parent function of the function represented in the table is: Linear, Exponential, Quadratic
If function f was translated down 4 units, the: x- and f(x), x, or f(x)
-values would be: divided by 4, increased by 4, decreased by 4, multiplied by 4
A point in the table for the transformed function would be : (1, 52), (2,23), (4,87), (3,29)
The above Exponential function has the parent function to be F(x).
The value will decreased by 4.A point in the table for the transformed function would be : (1, 52), What is the transformation about?The difference between successive terms is: 6, 18, 54, 162. These are known to be in the powers of 2 and therefore one can say that there is an exponential increase in the parent function.
The new function is said to g(x). Translating down by 4 means that the new y-values are 4 units lower and so the answer is that the f(x)/y-values will be decreased by 4.
Therefore, looking at the above, since g(x)=f(x)-4 one need to know the value of x, the new y-value is lower by 4 from the old one. This is the case only for (1, 52) since the old function is (1, 13).
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Explain how the angle-angle-side congruence theorem is
an extension of the angle-side-angle congruence
theorem. Be sure to discuss the information you would
need for each theorem.
These thoughts show you that AAS theorem is straight extension of ASA theorem.
What is Triangle?A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol △. There are various types of triangles that are classified on the basis of the sides and angles.
ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
AAS congruence theorem: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Consider two triangles ΔABC and ΔA'B'C' .
If m∠A = m∠A'
and m∠B = m∠B'
AB = A'B'
then two triangles ΔABC and ΔA'B'C' are congruent by AAS theorem.
Thus, these thoughts show you that AAS theorem is straight extension of ASA theorem.
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Answer: The Sample Response is the answer Edge uses as a correct answer. Answer varies depending on your response.
Step-by-step explanation:
This answer is correct I got it right on Edge 2022. The proof is down below.
Sample Response: The interior angle measures of a triangle add up to 180 degrees. Thus, if you are given angle-angle-side, you can solve for the third angle measure and essentially have angle-side-angle because the given side will now be the included side.
As long as you explain and include these in your answer it should be correct: (If you decide to answer using your own words)
The interior angles sum to 180 degrees.Solve for the third or unknown angle. The given side becomes the included side.
Hope this helps someone. Good luck! :)
Dan makes $72 working 8
hours. How much does he
make per hour?
Answer:
9 dollars per hour
Step-by-step explanation:
We want to use a ratio to find the rate in dollars per hour
72 dollars / 8 hours
Simplify by dividing the top and bottom by 8
9 dollars / 1 hour
9 dollars per hour
Step-by-step explanation:
72$ Per 8 hours, is the same as getting 9$ per hour. How this is possible is simple, All you do when you get a question like this, is that you divide the dollars by the hour, minutes, seconds, etc.
Problem-Connection:
As from this Question we Have 72$ per 8 hours, so we divide 72/8 which results in 9. So Dan Earns 9$ Per Hour.
Answer:
Dan Earns 9$ Per hour.
Your welcome!
Brainly will be greatly appreciated!
What is the solution of the inequality sh
below?
9+b≤2
Answer:
b≤-7Step-by-step explanation:
b+9≤2
Subtract 9 from both sides:
b+9-9≤2-9b≤-79+b≤2
subtract 9 on each side which will be -7
the answer will be b≤-7
Required school supplies include 6 spiral notebooks and 2 binders. If the notebooks cost 90 cents and the binders cost $4.77, how much will you spend?
A. $22.85
B. $14.94
C. $15
D. $30
Answer:
Hey, You don't need to buy supplies. Just use your at home!
Step-by-step explanation:
Brainlest?
Answer: Algebra: 3 sub. spiral notebook, pencil pouch to hold colored pencils and ... Algebra 2: 2 or 3 subject spiral notebook (can use folder instead of binder).
Step-by-step explanation:
Xander needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items.
Part A
Choose the inequality and solution to represent the number of cans, c, that Xander must still collect.
Answer:
Inequality: 64+C[tex]\geq 120\\\\[/tex]
- 64. -64
We subtract to isolate variable
Solution: [tex]C\geq 56[/tex]
Add.
(−2+6x^3−3x^2)+(4x^3−5+x^2)
Answer:
10x^3 - 2x^2 -7
Step-by-step explanation:
To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second
so 6x^3 + 4x^3 and that would be 10x^3
then -3x^2 + x^2 and the negative is larger so it would be -2x^2
and finally -2 + -5 and that is -7
hope this helps! :)
You are going on vacation with your family to the beach. You already spent $160 on
groceries for the week, and you know that each time you eat out you will spend another
$40. Does The relationship between the number of the Times eating out in the total budget represent a linear function?
Answer:$440, 9
Step-by-step explanation:
The relationship between the number of the times eating out in the total budget represent a linear function.
What is a linear function?"A linear functions are those whose graph is a straight line."
Given, I already spent $160 on groceries for the week.
Each time I eat out you will spend another $40.
Let, I eat 'x' times during vacation.
Therefore, the required function will be:
f(x) = 160 + 40x
Hence, the function is a linear function.
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neeeed helppp asapp
Answer:
y=3x-1
Step-by-step explanation:
What is the value of 5x+3 when x=4?
9
12
23
60
Answer:
23
Step-by-step explanation:
substitute x = 4 into the expression
5x + 3 = 5(4) + 3 = 20 + 3 = 23
Hii!
____________________________________________________________
Answer:
The value is 23 - Choice [C] ✅
Step-by-step explanation:
STICK IN the value of x.
5x+3
5·4+3
MULTIPLY 5·4
20+3
ADD
23
--
Hope that this helped! Best wishes.
--
What is the value of y?
Answer:
y = 97°
Explanation:
Opposite angles in a quadrilateral inscribed in a circle sum ups to 180°
So following the rule:
A + C = 180°
y + 83° = 180°
y = 180° - 83°
y = 97°
How would you describe the graph of y< - lxl?
A dashed line up V on the (0,0) with the shading on the inside of the V.
A solid line up V on the (0,0) with shading outside the V.
A dashed line down V on the (0,0) with the shading inside the V.
Answer:
A dashed line down V on the (0,0) with the shading inside the V.
Step-by-step explanation:
- graph of y = -|x| is an upside down V
- less than sign means that there is dashed lines only
- plug in an x-value to determine whether the graph is shaded within the V or outside
A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 5. Column 2 is labeled y with entries 5, 10, 12.5.
Use the information in the table to find the constant of proportionality and write the equation.
The constant of proportionality is
.
The equation that represents this proportional relationship is
The equation will be a linear equation from (2, 5) to (4, 10) will be y = 2.5x.
What is a function?Mathematics is replete with functions, which are necessary for the construction of intricate connections.
A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 5. Column 2 is labeled y with entries 5, 10, 12.5.
Use the information in the table to find the constant of proportionality and write the equation.
The equation will be a linear equation from (2, 5) to (4, 10) will be
(y – 5) = [(10 – 5) / (4 – 2)] (x – 2)
y – 5 = 2.5x – 5
y = 2.5x
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Answer:
2.5 and y=2.5x
Step-by-step explanation: i got that question on an edguenity assignment
