Answer: 144
Step-by-step explanation:
The binomial is [tex]\left( 4x+3y\right)^3[/tex]
The expansion of [tex]\Rightarrow \left ( a+b \right )^n=^nC_0\left ( a \right )^n\left ( b \right )^0+^nC_1\left ( a \right )^{n-1}\left ( b \right )^1+^nC_2\left ( a \right )^{n-2}\left ( b \right )^2+^nC_3\left ( a \right )^{n-3}\left ( b \right )^3+\ldots[/tex]
Expansion of [tex]\left( 4x+3y\right)^3[/tex]
[tex]\Rightarrow ^3C_0\left ( 4x\right )^{3}\left ( 3y\right )^0+^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1+^3C_2\left ( 4x\right )^{1}\left ( 3y\right )^2+^3C_3\left ( 4x\right )^{0}\left ( 3y\right )^3[/tex]
So, the second term is
[tex]\Rightarrow ^3C_1\left ( 4x\right )^{3-1}\left ( 3y\right )^1\\\Rightarrow ^3C_1\left ( 4x\right )^{2}\left ( 3y\right )^1[/tex]
Its Coefficient is
[tex]\Rightarrow ^3C_1\times 4^2\times 3\\\Rightarrow 3\times 16\times 3=144[/tex]
If Linda is at the store and can buy any two fruits (the store sells apples, oranges, pears, bananas, and kiwis), how many combinations of fruit can she choose?
Answer:
its 15
Step-by-step explanation:
i took the test and got it right
good luck!!
Samantha saw two bottles of ketchup at the store for the same price. One bottle contained 4 pints of ketchup, and the other contained 1.25 quarts of ketchup.
Which bottle was the better bargain?
Answer:
The 4 pint ketchup bottle was the better bargain.
Step-by-step explanation:
To find which bottle was the better bargain, find which one had the most amount of ketchup in it.
In one quart, there are 2 pints.
Convert the 1.25 quart bottle to pints by multiplying 1.25 by 2:
1.25(2)
= 2.5
Since 4 is larger than 2.5, the 4 pint bottle of ketchup has more.
So, the 4 pint ketchup bottle was the better bargain.
Dana is creating a video. Her computer shows that the video is 265.038 seconds long. She writes the length of the video in expanded form. Which expression represents the value of one of the digits in the length of Dana's video?
Options aren't supplied. However, a list of possible answers have been worked out.
Answer:
Kindly check explanation
Step-by-step explanation:
In expanded format :
256.038 can be broken down as :
2 represents 200 ; 2 hundred = 2 * 100
5 represents 5 tens = 50 = 5 * 10
6 represents 6 unit = 6 * 1
0 represents 0 tenths
3 represents 3 hundredths = 3 * 1/100
8 represents 8 thousandths = 8 * 1/1000
The options aren't given, but the answer would be among the values listed above
Easy math please help!!
James is making orange juice from concentrated frozen orange juice that he must mix with water. The concentrated juice is in 12 fluid ounce cartons. The ratio of orange juice concentrate to water is 12 fluid ounces to 36 fluid ounces. If James needs 4.5 gallons of orange juice, which is 576 fluid ounces, how many cartons of concentrated orange juice does he need? (Your answer should just be a number.)
Answer:
48
Step-by-step explanation:
Using the Pythagorean theorem what is the distance between (5,-3) and (9,1)
Step-by-step explanation:
Distance between (5,-3) and (9,1)=√(9-5)^2+(1-(-3))^2
=√4^2+4^2
=√16+16
=√32 units
It's not possible to calculate the distance between these points by pythagoras theorem .We can easily calculate it by distance formula I.e.√(x2-x1)^2+(y2-y2)^2
Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)? A. .34 B. .51 C. .17 D. .68
Answer:
0.51
Step-by-step explanation:
Mathematically, for two individual events;
P(AnB) = P(A) * P(B)
P(A n B) = 0.6 * 0.85 = 0.51
Answer:
.51 (B)
Step-by-step explanation:
Select the letter of the correct answer. A museum in South Africa uses paintings of right-angled triangles to teach children about the Pythagorean Theorem: A squared + B squared = C squared Let's say that A = 4 and B = 3. Based on the theorem, what is the value of C squared? Choose the correct expression. A 42+
32 B (4 x 3)2 C (4 + 3)2 D 4 + 3
Which pair of angles must be supplementary?
A. <1 and <5
B. <5 and <3
C. <4 and <5
D. <4 and <1
Answer:
I think C but I could be wrong
Step-by-step explanation:
Work out the size of an exterior and an interior angle of a regular 18-sided polygon.
Answer:
160 and 20 degrees
Step-by-step explanation:
What is the value of the expression -9 x 2.2?
Please help I have 15!!!!!!!
Answer:
True
Step-by-step explanation:
x^a = b
x^( a / a ) = b^( 1 / a )
x^1 = b^( 1 / a )
x = b^( 1 / a )
PLEASE HELP WITH GEOMETRY!! WILL GIVE BRAIN!!!
Answer:
Solution given:
opposite side=9.2
adjacent=8
angle=?
Relationship between opposite side and adjacent is given by Tan angle
Tanx°=opposite side/adjacent
x°=Tan -¹(9.2/8)
x°=48.99
x=49°
Option first.
solve g(x) = 3/4 x + 10, find g(-12)
Answer:
Answer: g(-12)=-7
Step-by-step explanation:
g(x)= 3/4x+2
g(-12)= 3/4(-12)+2
g(-12)=-9+2
g(-12)=-7
will give brainliest to the correct answer (no links or account will be reported) :)
Answer:
122
Step-by-step explanation:
64 + 58 = (l)
(l) = 122
x
HELP ASASP PLEASE emrgency
Answer:
-2x + (-3) = x
x = -1
Step-by-step explanation:
-2x + (-3) = x
add 2x to each side
-3 = 3x
divide each side by 3
-1 = x
Jasmine had an average daily balance of $1,608.24 for the last billing cycle, which had 31 days. If her credit cards charges an APR of 22.99%, what would her finance charges be for the last billing cycle?
Answer:
Finance per billing cycle = $ 30.91
Step-by-step explanation:
First, we will calculate the APR for 1 day:
APR per day = (22.99%/year)(1 year/12 month)(1 month/31 days)
APR per day = 0.062 % / day
Now, we will calculate the finance per day:
Finance per day = (Daily Balance)(APR per day) = ($ 1608.24)(0.062 %/day)
Finance per day = $0.99/day
Now, we will calculate the finance for one billing cycle:
Finance per billing cycle = (Finance per day)(31 days) = ($ 0.99/ day)(31 days)
Finance per billing cycle = $ 30.91
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Answer: the answer is b
Step-by-step explanation:
Question #5: You decided to paint one of the walls in the dining room the color blue. The shape of the wall is shown below. One gallon of paint covers 50 square feet. The wall will need two coats of paint. How many gallons of paint will you need to buy?
Total area of the wall:
Gallons of paint needed:
Answer:
Step-by-step explanation:
Draw a horizontal line from the top corner of the left wall to the right wall. Now you have a rectangle on the bottom 8’x10’ (80 square feet) and a triangle on the top with a height of 5’ and a base of 8’. 1/2 base times height =20. You need to paint 100 sq feet so you need 2 gallons.
1/2 inches= 1 1/2 feet
Answer:ummmm not equal
Step-by-step explanation:
Answer:
1 1/2 feet=18 in
Step-by-step explanation:
Factorise: 5x + 25
with the steps
Answer:
5(x + 5)
Step-by-step explanation:
The first step is to divide, so:
5 ÷ 5 = 1
25 ÷ 5
---------------------------------------------------------------------------------------------------------------
So then:
5(x + 5)
---------------------------------------------------------------------------------------------------------------
Have a good day :)
Answer:
5(x+5)
Step-by-step explanation:
5x + 25
5*x + 5*5
Factor out a 5
5(x+5)
5/8 + 3/4
—————
-2/3 - 5/6
Help please
Answer:
-11/12
Step-by-step explanation:
one solution of x^2 - 64 = 0 is 8. what is the other solution
Given:
The equation is:
[tex]x^2-64=0[/tex]
One solutions is 8.
To find:
The other solution of the given equation.
Solution:
We have,
[tex]x^2-64=0[/tex]
It can be written as:
[tex]x^2-8^2=0[/tex]
[tex](x-8)(x+8)=0[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
Using zero product property, we get
[tex]x-8=0[/tex] and [tex]x+8=0[/tex]
[tex]x=8[/tex] and [tex]x=-8[/tex]
It is given that the one solutions is 8.
Therefore, the other solution is -8.
Kevin needs to buy some cardboard to build a box 11 inches long, 7 inches wide, and 10 inches high. How much cardboard is needed to build the box?
Answer:
770 inches of cardboard is needed to build this box
Step-by-step explanation:
Use the formula for cubes B x W x H
The base of the cube will be 7 inches the length is 11 inches, and the height is 10 inches. Then, we multiply.
7 x 11 x 10 = 770
What is the first step in solving k in the equation k + 2 = 15 ?
Answer:
13
Step-by-step explanation:
subtract 2 by 15 to get 13
k = 13
If m
A.140
B.60
C.50
D.40
Answer:
140
Step-by-step explanation:
Angle C = 180-A-B
C=180-80-60=40
DCA = 180-Angle C
DCA = 180-40
Find the value of x.
Answer:
x = 4
Step-by-step explanation:
The angle next to (adjacent to) 19x + 3 is 180 degrees less (19x + 3):
180 - (19x + 3)
and the three interior angles of the triangle must sum up to 180 degrees:
11x - 2 + 180 - 19x - 3 + 9x + 1 = 180, or
11x - 2 - 19x - 3 + 9x + 1 = 0
Combining like terms, we get:
x = 4
f(x) = 3x - 1
Consider the function below. Find f(x) = 32 *find x value*
Answer:
f(32) = 95
Step-by-step explanation:
f(32) = 3(32)-1
f(32) = 96 - 1
f(32) = 95
Hope this helps have a great day
70 brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!11111
Answer:
nice job man
Step-by-step explanation:
keep it up man
What are the coordinates of point G of the pre-image? (-2, 1) (-4, 2) (-12, 0) (-32, 16)
Answer:
(-12,0)
Step-by-step explanation:
(-12,0)
(-4,2)
Answer:
A or (-2, 1)
Step-by-step explanation:
Which scatter plot represents the given data?
x | 1 | 1 | 2 | 2 | 2.5 | 2.5 | 4 | 4 | 6 |
y | 3.9 | 6.3 | 3.4 | 5.1 |1.4 |8.5| 8.7 | 1.3 | 7.9|
Im so confused! How do I solve this??
Answer:
The second Image
Step-by-step explanation: