Answer:
16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Step-by-step explanation:
Use the binomial expansion theorem to find each term. ∑
∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k
Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4
Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4
Simplify each term.
= 16 x ^4 − 96 x^ 3 + 216 x ^2 − 216 x + 81
Find the sum of the first 15 terms of the AP:11,5,-1,-7
Here is ur answer
- BRAINLIEST ANSWERER
4. Answer a through c
Answer:
Hello is this math i can help you with your answer
help me please thanks
Answer:
h(t) = -3 + 1.5t
Step-by-step explanation:
Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.
h(t) = -3 + 1.5t
None sense >report
I. Study the situation below:
Jose wanted to construct a rectangular garden such that its perimeter is 28mn and
its length is 6 times its width.
What are the linear equations that represents the given situation?
II. Answer the following questions:
1. How do you describe a system of linear equations in two variables?
2.
Give at least two examples of systems of linear equations in two variables.
3.
How is the system of linear equations in two variables used in solving in real
life problems and in making decisio?
Answer:
Radio waves have photons with the lowest energies. Microwaves have a little more energy than radio waves. Infrared has still more, followed by visible, ultraviolet, X-rays and gamma rays.Which rate describes a unit rate of 6:1? A.) 12 tires for 3 cars B.) 30 miles for 5 hours C.) $35 for 5 set of markers D.) 45 miles in 9 hours
Answer:
B.) 30 miles in 5 hours
Step-by-step explanation:
If you were to simplify all the ratios:
A) 12:3 divided by 3/3 is 4:1
B) 30:5 divided by 5/5 is 6:1
C) 35:5 divided by 5/5 is 7:1
D) 45:9 divided by 9/9 is 5:1
B is 6:1.
The average rate of change of g(x) between x = 4 and x = 7 is Five-sixths. Which statement must be true?.
HELP ASAP!!!!!!!!! IM SO PUZZLED
PLS SOMEONE HELP PLSSS
Answer:
x=17
Step-by-step explanation:
ok so since lines PR and RQ are congruent (we know because of the lines on them), that means angles P and Q are also equal.
now we can set up the equation to find x like this:
29+29+(8x-14)=180 (180 because the three angles of a triangle always equal 180)
x=17
Un camión traslada 12 vehículos. Algunos son autos y otros son camionetas. Cada auto tiene una masa de 2 toneladas y cada camioneta de 3 toneladas. En total, el camión lleva una carga de 33 toneladas.
Escribe un sistema de ecuaciones que permita calcular cuántos vehículos de cada tipo traslada el camión. Usa a para representar la cantidad de autos y c para representar la cantidad de camionetas que traslada el camión.
El sistema de ecuaciones queda descrita por las siguientes expresiones:
[tex]a+c = 12[/tex]
[tex]2\cdot a + 3\cdot c = 33[/tex]
Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.
El enunciado es equivalente a un sistema de dos ecuaciones lineales con dos incógnitas. Una ecuación para la cantidad de vehículos trasladados por el camión y otra ecuación para la masa total trasladada:
[tex]a+c = 12[/tex] (1)
[tex]2\cdot a + 3\cdot c = 33[/tex] (2)
Donde:
[tex]a[/tex] - Cantidad de autos.[tex]c[/tex] - Cantidad de camionetas.El sistema de ecuaciones queda descrita por las siguientes expresiones:
[tex]a+c = 12[/tex]
[tex]2\cdot a + 3\cdot c = 33[/tex]
Donde [tex]a[/tex] y [tex]c[/tex] son las cantidades de autos y camionetas.
Invitamos cordialmente a ver este problema sobre sistemas de ecuaciones: https://brainly.com/question/17174746
round up 28.046 to the nearest hundredth
Answer:
28.05
Step-by-step explanation:
please help me in questions 16 and 17 only and i’ll mark you as brainliest i promise
Answer:
16. Domain: [-3,5] and range : [-5,3]
17. Domain: [0,4] and range: [0,4]
During vacation, Dave and his brother, Scott,rode their bikes form their family's rental house to a pond to go fishing. Although they left the rental house together, Dave arrived at the pond a few minutes before Scott. This weekend, they plan to ride a nearby mountain trial and turn back after an hour if they can't complete it. Who will likely ride farther along the mountain trial?
Answer:
Im soooooo hungry ughhh
Step-by-step explanation:
Hi
[-2], absolute value of -2 is:
Answer:
answer is 2
Step-by-step explanation:
absolute value of -2 is 2
Answer:
2
Step-by-step explanation:
I am exhausted could someone pls help me 3(-2+-8+9)divided by 4
Answer: you can use a calculator, -0.75
Step-by-step explanation:
-2+-8+9
The + and - make a - so you can simplify to
-2-8+9
-1x3
-3/4
A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane parallel to the base.The original cone had a height of 12 in. and a volume of 810 in3. What is the volume of the tip that was sliced off?
A)30 in3B)60 in3C)90 in3EliminateD)180 in3
the correct answer is B
hope I helped
Last year the French club raised $300 at their fall fundraiser. This year they raised $450. What is the percent increase in the amount raised?
(IN YOUR OWN WORD'S)
Answer:
50%
Step-by-step explanation:
Actual increase = $150
% increase = (actual change ÷ start value) × 100
= (150 ÷ 300) × 100
= 0.5 × 100
= 50%
Medicine is used by the body at a rate of 10% per hour.
Is this situation discrete or continuous?
A. discrete
B. continuous
Answer:
your answer is B
Step-by-step explanation: if its at a rate of 10% an hour that is a continuous rate
Please help. Will give brainliest.
Answer:
$22100
Step-by-step explanation:
9/10 = 0.9
5/8 = 0.625
0.9 + 0.625 = 1.525
3 + 1 = 4
4 + 1.525 = 5.525
5.5 = $22000
0.025 = $100
$22000 + $100 = $22100
Which of the ordered pairs is a solution to the system of inequalities?
y ≥ 3
y > x
(-3, 2)
(2, 3)
(-4, 3)
(0, 0)
Can someone help me out with this please
Answer:
a. $4200
b. $32,300
c. $5814
d. $30,686
e. 2557.17
Step-by-step explanation:
a.The man can claim all of the allowances shown in the problem statement, except the single person's allowance.
total allowances = married + young child + child in school + dependent relative
total allowances = $2400 +500 +1000 +300 = $4200
__
b.The man's taxable income is his income after allowances have been deducted:
taxable income = gross income - allowances
taxable income = $36,500 -4,200 = $32,300
__
c.The tax is found by multiplying the tax rate by the taxable income.
tax = (tax rate) ×(taxable income)
tax = 0.18 × $32,300 = $5,814
__
d.The net income is the gross income less the taxes paid.
net income = gross income - tax paid
net income = $36,500 -5,814 = $30,686
__
e.The man's net monthly salary will be 1/12 of his annual net income.
net monthly salary = $30,686/12 ≈ $2,557.17
Is that the correct answer for it please help me. I want to past my ecam
Answer:
No answer is be 28%
5+9+7+4=25
7/25 + .28 =28%
Step-by-step explanation:
what is the probability of drawing a red marble then a white marble if there are 3 red marbles and 2 white marbles
Answer:
3/5
Step-by-step explanation:
Marty's class collected $38.00 in a school-wide penny collection contest. If Tommy's class added $8.00 to the amount they collected, x, and then multiplied the sum by 2, they would have the same amount of money as Marty's class. how much money did tims class collect
Answer: $11
Step-by-step explanation:
To have the same:
11+8=19
19×2=38
Answer:
It would be $11
Step-by-step explanation:
Hope it helps (Could you mark brainliest please)
Caroline leaves her apartment and walks 45° north of west for 1000 feet and then walks 200 feet due north to go to the grocery store. How far and at what north of west
quadrant is Caroline from being at her apartment?
Answer:
1150 ft W 52° N
Step-by-step explanation:
There are several ways a problem like this can be solved. Perhaps the easiest is to make use of a suitable vector calculator.
Using West as the reference for angles measured clockwise (toward north), the final position is ...
1000∠45° +200∠90° = 1150.149∠52.063°
__
You can also figure this using the Law of Cosines. It will tell you the resultant distance (c) in terms of the individual distances (a, b) and the angle between them (135°).
c² = a² +b² -2ab·cos(C)
c² = 1000² +200² -2·1000·200·cos(135°) ≈ 1,322,842.7
c ≈ √1322842.7 ≈ 1150.149
The angle difference from 45°N can be found using the Law of Sines.
sin(B)/b = sin(C)/c
B = arcsin(b/c·sin(C)) = arcsin(200/1140.149·sin(135°)) ≈ 7.063°
This means Caroline's bearing from home is 45° +7.063° ≈ 52° north of west.
Caroline's final position is 1150 W 52° N in relation to her home.
Your 12 turkeys drink 7.6 L of water a day. How
much water does one turkey drink per day?
PLZ HELPPPPPPPPP MY SWAGGERS
Answer:
9
Hope this helps, have a nice day/night! :D
A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.3% How much interest will the customer earn in 30 years
We must use the simple interest formula which is: A = P(1+rt) where
A = output amount , P = initial amount, r = rate as a decimal, and t = time.
so in this case we would write:
A(30) = P(1+rt) = 3000(1 + 0.013(30)) = 4170
We then see that A(30) is equal to $4170 at 30 years.
HELP ME RN PLEASE!!!!!!!!!!!!!!!!!!!!!!
Answer:
got ub the naswers is 5x+y==6
Step-by-step explanation:
4(2-3x)=-2x-27
help plz
Answer:
x = 7/2
x = 3.5
x = 3 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
There are 150 fish in total. The ratio of goldfish to betta fish is 2:3. How many goldfish are there?
(Please help me I’m nearly crying cause I can’t answer this question. )
Answer:
60 goldfish
because there is a ratio of 2 gold fish to 3 Betta fish you can cross multiply with 2/5 and x/150 to find the number of goldfish. you can also check the answer because 60 goldfish would leave 90 Betta fish. the ratio of 60:90 can be simplified to a ratio of 2:3