Using the binomial theorem expression to expand (4a+7b)^8, what would you substitute for the values of a and b?
A. a=11 and b=8
B. a=4a and b=7b
C.a=4 and b=7
D. a=8 and b=7
Answer:
B. [tex]a = 4\cdot a[/tex] and [tex]b = 7\cdot b[/tex].
Step-by-step explanation:
The Binomial Theorem states that a binomial of the form [tex](a+b)^{n}[/tex], [tex]a, b\in \mathbb{R}[/tex] can be expanded in the following form:
[tex](a+b)^{n} = \Sigma \limits_{i=0}^{n} \frac{n!}{k!\cdot (n-k)!} \cdot a^{n-i}\cdot b^{i}[/tex] (1)
If we have [tex](4\cdot a + 7\cdot b)^{8}[/tex], then [tex]a = 4\cdot a[/tex] and [tex]b = 7\cdot b[/tex]. In a nutshell, correct answer is B.
B
That is the correct answer, hope it helps my dudes!
A merchant buys a Car for 1000$ and sells it for 100$ what is the percent of markup?
What's the question? The answer is 32/3
Answer:
10.67 or 10.7
Step-by-step explanation:
32/3= 10.67 or 10.7
Answer:
10.6666666667 converted into a fraction (sorry if im wrong)
Step-by-step explanation:
Let R be the region bounded by the following curves. Use the method of your choice to find the volume of the solid generated when R is revolved about the x-axis. y = 6x^2 & y = 28 - x^2
Answer:
V = 7168π /3
Step-by-step explanation:
R ( region ) bounded by curves ; y = 6x^2 , y = 28 - x^2
determine the volume of the solid generated when R is revolved about the x-axis
Volume = 7168π /3
attached below is the remaining part of the detailed solution to the problem above
Given that :
y = 6x^2----- ( 1 ) , y = 28 - x^2 ------ ( 2 )
equate ( 1 ) and ( 2 )
6x^2 = 28 - x^2
7x^2 = 28
∴ x = √4 = ± 2
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
(3,8)
(-3,-8)
(-3,8)
(3,-8)
Answer:
(3,8)
Step-by-step explanation:
THIS IS AN EXAMPLE FOR ANY PROBLEM!!
Get the equation in the form y = ax2 + bx + c.
Calculate -b / 2a. This is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.
- Good luck!
HELPPPP PLEASE!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
7 - 2 = 5
11 - 3(2)
11 - 6 = 5
4(2) - 3
8 - 3 = 5
C is the only one that doesn't equal 5
Help pls also show work if needed!
Answer:
(4,18); (6,22); (8,26)
Step-by-step explanation:
Plug in the numbers 4, 6, and 8, in for d using the equation.
c=2d+10
c=2(4)+10
c=8+10
c=18
(4,18)
c=2d+10
c=2(6)+10
c=12+10
c=22
(6,22)
c=2d+10
c=2(8)+10
c=16+10
c=26
(8,26)
Answer:
14
18
22
26
Step-by-step explanation:
c = 2d + 10
1st one: substitute 2 for d
c = 2 x 2 + 10
c = 14
2nd one: substitute 4 for d
c = 2 x 4 + 10
c = 18
3rd one: substitute 6 for d
c = 2 x 6 + 10
c = 22
4th one: substitute 8 for d
c = 2 x 8 + 10
c = 26
describe how you know that (8+9) + 3 is equivalent to 8+ ( 9 + 3). what is the benefit to using this property?
the value of square root of 4/49
Answer:The square root of 4 is 2 . The square root of 49 is 7 .Apr 19, 2015
Step-by-step explanation:
You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from ... 10 slices of bread and 20 slices of cucumber
Question:
You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from 10 slices of bread and 20 slices of cucumber? assuming you have plenty of everything
Answer:
4 sandwiches
Step-by-step explanation:
Given
1 Sandwich contains:
[tex]Bread = 2\ slices[/tex]
[tex]Turkey = 1\ slice[/tex]
[tex]Cheese = 2\ slices[/tex]
[tex]Tomato = 3\ slices[/tex]
[tex]Cucumber = 5\ slices[/tex]
Required
Number of sandwiches from 10 slices of bread and 20 slices of cucumber?
Since we are to assume that every other thing is in abundance, we will only consider the unit amount of bread and cucumber
[tex]Bread = 2\ slices[/tex]
[tex]Cucumber = 5\ slices[/tex]
Express as ratio
[tex]Bread : Cucumber = 2 : 5[/tex]
When the ratio is multiplied by 5, the slice of cucumber (25) will exceed the available slices (20).
So, we multiply by 4
[tex]Bread : Cucumber = 2*4 : 5*4[/tex]
[tex]Bread : Cucumber = 8 : 20[/tex]
This implies that:
8 slices of bread and 20 slices of cucumber are used
Hence:
4 sandwiches can be made
Which equation is the standard form equation of the line that passes through the point (-2, 0) and has a slope of 4?
A 4x - y = -2
B 4x - y = 8
C 4x - y = -8
D 4x + y = -8
Please Help me !!!!!!
Use the formula o = 7 to find the value of the missing variable 5 radians per sec, t= 9 sec = (round to the nearest thousandths)
Answer:
[tex]o = 9 \times \frac{5\pi}{9} \\ [/tex]
[tex]o = 5\pi = 15.71[/tex]
1
3
This week Andres will practice with his band for 15 hours on Monday, 1 - hours on Tuesday, and 2
2
4
hours on Wednesday. Next week Andres will practice with his band for the same number of hours
on Monday, Tuesday, and Wednesday.
What is the total number of hours Andres will practice with his band over these 6 days?
Answer:
[tex]Total = 104\ hrs[/tex]
Step-by-step explanation:
Given
[tex]Monday = 15\ hrs[/tex]
[tex]Tuesday = 13\ hrs[/tex]
[tex]Wednesday = 24\ hrs[/tex]
Required
Determine the hours of practice over 6 days
First, we calculate the hours for the given 3 days.
[tex]Hours = Monday + Tuesday + Wednesday[/tex]
[tex]Hours = 15\ hrs + 13\ hrs + 24\ hrs[/tex]
[tex]Hours = 52\ hrs[/tex]
The hours of practice for the other three days is also 52 hours.
So, the total is:
[tex]Total = 52\ hrs + 52\ hrs[/tex]
[tex]Total = 104\ hrs[/tex]
Answer:
104
Step-by-step explanation:
Solve the system of equations by any method you choose
-4x-2y=-2
-9x+3y=3
Answer:1. Use substitution to solve the system of equations:
-x + 2y=7
x - 3y = 3
2. Solve the system of equations by the elimination method
a. 2x+ y = -17
x - y = 2
b. 3x + y = -15
x + 2y = -10
Answer:
(0, 1)
Step-by-step explanation:
You can solve this by using the substitution or elimination method. For this problem, I'm going to use the substitution method. First, rewrite -4x-2y=-2 in slope-intercept form, which would be y=-2x+1. Substitute the y value in -9x+3y=3 (which would be -9x+3(-2x+1)=3) and solve.
-9x+3(-2x+1)=3
-9x-6x+3=3
-15x=0
x=0
Now, substitute the x value in for the x in any equation. You can do -4(0)-2y=-2 or -9(0)+3y=3. I'm going to use -9(0)+3y=3.
-9(0)+3y=3
3y=3
y=1
why do bank charge transaction fees?
Answer:
To make a profit and pay operating expenses, banks typically charge for the services they provide. When a bank lends you money, it charges interest on the loan. Even fee-free checking and savings accounts have some fees. ...
To make a profit and pay operating expenses, banks typically charge for the services they provide. When a bank lends you money, it charges interest on the loan. Even fee-free checking and savings accounts have some fees. ...
What is the area of the polygon given below?
11
6
A. 66 square units
B. 55 square units
C. 131 square units
O D. 186 square units
Answer:
The answer is A have a good day
Step-by-step explanation:
10.6 - 3x when x is equal to 4.5.
Answer:
The answer is 2.6
Hope this Helps!!!
Which of the following is a unit fraction?
A. 4/9
B. 15/16
C. 3/8
D. 1/8
Answer:
D. 1/8
Step-by-step explanation:
A unit fraction is a fraction with numerator of 1.
Answer:
D 1/8 Because unit factions always have a one as the numarator
Give the range of the following data set: 4, 5, 8, 18, 21, 43, 82 *
88
86
78
Option76 4
Answer:
78
Step-by-step explanation:
The range is the difference between the highest and lowest number:
4, 5, 8, 18, 21, 43, 82
The highest number is 82 and the lowest is 4
82 - 4 = 78
The range is 78
The population of a remote village is about 3 x 102 and the population of the nearest large city is
about 6 x 10%. Determine how many times larger the city population is in comparison to the
village population.
A. 18 x 107
B. 2000
C. 2 x 107
D. 2 x 10
E. 5x102
Answer:
DE
Step-by-step explanation:
what is the inequalities x<3
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
hope this help you... :) and have a good day
Answer:equal to y
x is equal to y. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥. x>y. x is greater than y.
Step-by-step explanation:
PLEASE ANSWER!
Draw a right triangle with side lengths of 3, 4, and 5 units.
Sides of the triangle = 3, 4, 5
Here, one thing to remember is, you have to put 5 as the "Hypotenuse" (Longest side) & smaller one's as Base & Perpendicular.
Hope this helps!
Line m passes through the points (2, -7) and
(4, -9). Line mis parallel to which line?
A) Y=-1
B) y = x - 9
C) X = 5
D) y = -x + 2
Answer:
D
Step-by-step explanation:
Can someone help me and show your work thank you
Answer:
$120
Step-by-step explanation:
I = Prt
P = 200
r = 0.12
t = 5
I = 200(0.12)(5)
I = 120
A rectangular garage has an area of 42 square meters and a perimeter of 26 meters. What are the dimensions of the garage?
Answer:448
448
Step-by-step explanation:448
Someone help with this I’m gonna fail !
HELP! WILL GIVE BRAINLIEST!
Answer:
w+w+w+w=p
w x4=p
On his math homework assignment, Steven solved six problems correctly 2 points
and eight problems incorrectly. Write a ratio comparing his correct
answers to incorrect answers. Write a ratio comparing his incorrect
answers to the total number of problems. *
WHO EVER ANSWERS I WILL MARK BRAINLIEST
Answer:
6:8 and 8:14
Step-by-step explanation:
Explain how you can use multiplication to find the volume of the figure. Then find the volume.
Answer:
To find the volume, you multiply length times width times height.
3x2x4
voluume = 24
Step-by-step explanation:
Answer: You can use multiplication by as shown below:
(Base) Height
(L*W)H
(3*2)4
(6)4
VOLUME = 24units^3
I show the formula, substitution, and the answer for you.
Please mark the brainliest I would appreciated very much and I hope this helps you, and I hope you learn from this. :)