Answer:
[tex]\displaystyle T_6=\frac{448}{729} f^2t^6[/tex]
Step-by-step explanation:
Binomial Theorem
Any power of x + y can be expanded into a sum of the form:
[tex]\displaystyle (x+y)^{n}={n \choose 0}x^{n}y^{0}+{n \choose 1}x^{n-1}y^{1}+{n \choose 2}x^{n-2}y^{2}+\cdots +{n \choose n-1}x^{1}y^{n-1}+{n \choose n}x^{0}y^{n}[/tex]
For any given term k, counted from 0 to n:
[tex]\displaystyle T_k={n \choose k}x^{n-k}y^{k}[/tex]
Note if we have to find the 7th term, we have to use k=6. The expression is:
[tex]\displaystyle \left(4f+\frac{t}{3}\right)^8[/tex]
For n=8, x=4f, y=t/3, k=6:
[tex]\displaystyle T_6={8 \choose 6}(4f)^{8-6}\left (\frac{t}{3} \right )^{6}[/tex]
[tex]\displaystyle T_6={8 \choose 6}(4f)^{2}\left (\frac{t}{3} \right )^{6}[/tex]
[tex]\displaystyle T_6={8 \choose 6}16f^2\frac{t^6}{3^6}[/tex]
Calculate:
[tex]\displaystyle {8 \choose 6}=\frac{8!}{2!\cdot 6!}=28[/tex]
Thus:
[tex]\displaystyle T_6=28\cdot 16f^2\frac{t^6}{729}[/tex]
Simplifying, the 7th term is:
[tex]\mathbf{\displaystyle T_6=\frac{448}{729} f^2t^6}[/tex]
1. Suppose y varies directly with and y= 14 when x = -4. What is the value ofy when x= -6? (1 point)
0-21
O 10
O 18
O21
y=kx
14=k×-4
k=14÷-4
k=-3.5
y=-3.5×-6
y=21.
Which steps can be used to solve StartFraction 6 Over 7 EndFraction x + one-half = StartFraction 7 Over 8 EndFraction for x? Check all that apply.
Divide both sides of the equation by StartFraction 7 Over 8 EndFraction.
Subtract One-half from both sides of the equation.
Use the LCD of 2 to combine like terms.
Divide both sides by StartFraction 6 Over 7 EndFraction.
Multiply both sides by StartFraction 7 Over 8 EndFraction.
Answer: the answer is 2,4,5
Step-by-step explanation:
Answer:
B, D, E
Step-by-step explanation:
Took the test
Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?
Answer:
65
Step-by-step explanation:
I think. hope this hepls
Answer:
There are 1600 residents.
Step-by-step explanation:
0.2 times x = 320 divide by 0.2
x = 1600
5*Please answer this correctly very urgent!
Answer:
1 3/15 - 5/15
Step-by-step explanation:
Hope this helps. PS the / sign is supposed to be for the fraction.
Step-by-step explanation:
1 1/5 - 1/3 = 0.86
Hope I helped. The only way I know how to dot this is in decimal form sorry.
Find the values of a and b such that x² - 2x + 2 = ( x - a )² + b
Answer:
a = b = 1
Step-by-step explanation:
x² - 2x + 2 = ( x - a )² + b
x² - 2x + 2 = ( x² - 2x + 1) - 1 + 2 = (x - 1)² + 1
a = b = 1
first to answer correct gets brainliest
Answer:
64-6=x
Step-by-step explanation:
What is the measure of /__B? Type the number only
Answer: I believe it would be 30
Step-by-step explanation:
A=X
B=Y
C=Z
Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60°
OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°
Answer:
D. m<A = 61°, m<B = 57°, m<C = 61°
Step-by-step explanation:
The sum of all interior angles of a triangle is always equal to 180°.
Therefore, any set of given angle measurement of a triangle should sum up to 180°.
From the options given, the following angle measurements given in option D,
,m<A = 61°, m<B = 57°, m<C = 61° cannot be angle measurements of ∆ABC. This is because they sum up to give 179° instead of 180°.
Answer:
The answer is D
Credits to the person above me.
; )
Step-by-step explanation:
EDGE 2021
I kind of don’t get this could someone explain and answer this question I would really appreciate :)
Answer:
its the fourth one
sts3ps oe
Answer:
the first picture A.
Step-by-step explanation:
Vertical angles are just two angles that lie across from each other. The other 3 pictures are referring to adjacent angles which are two angles that lie directly next to each other.
A small deck of 5 cards consists of 3 red Jards and 2 green cards.
Draw 7 times with replacement.
Find the probability that a red card is drawn exactly 3 times.
Answer:
Approximately [tex]0.19[/tex].
Step-by-step explanation:
The cards were drawn with replacement. Therefore, the probability of drawing a red card will be [tex](3 / 5)[/tex] at every one of the seven draws. The probability of not drawing a red card would be [tex](1 - (3/5)) = (2/5)[/tex].
One way to get three red cards out of the seven draws would be [tex]\verb!red!\; \verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!green![/tex]. That corresponds to a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex].
However, there are many other ways to get three red cards during the seven draws. For example:
[tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!green![/tex], [tex]\verb!red!\; \verb!red!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!green!\; \verb!green![/tex].[tex]\cdots[/tex].[tex]\verb!green!\; \verb!green!\; \verb!green!\; \verb!green!\; \verb!red!\; \verb!red!\; \verb!red![/tex].There are [tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} = 35[/tex] such ways in total to choose three draws out of seven draws.
These ways are mutually-exclusive. Each of these ways has a probability of [tex](3/5)^3\, (2/5)^{7-3}[/tex]. The probability for getting a red card on exactly three out of the seven draws would be:
[tex]\displaystyle {\genfrac{(}{)}{0}{0}{7}{3}} \, (3/5)^3\, (1 - (3/5))^{7-3} \approx 0.19[/tex].
How can you tell if an element has been oxidized?
A. Its oxidation state has not changed in the reaction.
B. Its oxidation state is higher in the product than in the reactant
C. Its oxidation state is lower in the product than in the reactant.
D. It has a negative oxidation state in the product.
Step-by-step explanation:
B. Its oxidation state is higher in the product than in the reactant
Y=8x+9
Give slope(m)
Parallel slope
Perpendicular slope
Answer:
the slope is 8
Step-by-step explanation:
the slope is x not sure if its parallel of perpendicular but is i had to gues id guess parallel
Answer:
the slope is 8
the parallel slope is 8
the perpendicular slope is -1/8
What partial products can be used to find the product 3x219
Answer:
You can do (3x200)+(3x10)+(3x9) Hope it helps!
The product is 657 if you need it!
Step-by-step explanation:
What is 3,350,000 in scientific notation?
Answer:
10^4 or 3.5
Step-by-step explanation:
A Toyota Prius can drive 70 miles on two gallons of gas. At this rate, how far can the Prius travel on 13 gallons of gas? Include your units.
Answer:
460 miles
Step-by-step explanation:
Since it is a ratio problem, you see that the prius drives 70 miles on 2 gallons of gas which gives you 70:2 or 70/2.
You also set up the other ratio as a fraction with the unknown value as x --> x/13.
now, you cross multiply
70/2=x/13
70*13=910
910/2=460
460 miles
Answer:
455 miles
Step-by-step explanation:
Distance Prius can travel with one gallon of gas:
70/2
= 35 miles
Distance Prius can travel with 13 gallons of gas:
35*13
= 455 miles
Hope this helped!
How many elements are in this equation:Mg2N3?
Answer:
there are 2 Magnesium and Nitrogen
Step-by-step explanation:
can you help me out
Answer:
$36
Step-by-step explanation:
Answer:
$36.
Step-by-step explanation:
(Hot dog) 2 for 5: Unit price is 5/2 = 2.5
(Soda) 3 for 3 so unit price is 1 for 1.
6 sodas = 6 dollars
12 Hot dogs = 12. x 2.5 = 30 dollars.
Price for both = 30 + 6 = 36.
The diagram compares the ratio of girls in the chorus to boys in the chorus. What is the ratio of girls to boys? If there are 30 students in the chorus, how many are girls and how many are boys.
girls 3 parts
boys 2 parts
Answer:
it should be girls 12 to 18
Step-by-step explanation:
i just messed around with a calculator and found it.
Determine the domain of the function graphed above.
Answer:
Domain: (-∞, ∞)
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According the the graph, we see that our x-values are spanning forever in both directions. Therefore our domain is:
(-∞, ∞) or -∞ < x < ∞
Use the figure on the right to find the length of DC.
Answer:
this is the figure btw
Step-by-step explanation:
Question 1 The number of books Annie reads in a month increased from 8 books to 16 books. By what percentage did the number of books she reads increase ?
Answer:
Very easy Bud
Step-by-step explanation:
Nope
A cat walks 3 meters toward a laser, then jumps 5 meters due south of the laser when it
sees a thing. What is the displacement of the cat (to the nearest tenth)?
Answer:
Displacement is 5.8 meters
Step-by-step explanation:
Here, we want to calculate the displacement of the cat
When we talk of displacement, we mean distance traveled in a specified direction
To find the displacement of the cat, we calculate the distance between where the cat is now from where it started off
So to calculate this, we shall have a right angled triangle where the displacement we want to calculate will be the hypotenuse
We proceed to use Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides
Mathematically, we have ;
D^2 = 3^2 + 5^2
D^2 = 9 + 25
D^2 = 34
D = √34
D = 5.8309
To the nearest tenth, the displacement is 5.8 meters
In quadrilateral ABCD, \angle A=5x+20,\angle B=3x-30,\angle C=2x+10,and\angle D=8x.∠A=5x+20,∠B=3x−30,∠C=2x+10,and∠D=8x. Find the value of Angle B.
Equation:
x=
angle b=
Answer:
Equation: (5x + 20) + (3x - 30) + (2x + 10) + 8x = 360
x = 20
Angle B = 30°
Step-by-step explanation:
Given:
<A = 5x + 20
<B = 3x - 30
<C = 2x + 10
<D = 8x
Sum of interior angles of a quadrilateral = 360°
Therefore:
<A + <B + <C + <D = 360°
(5x + 20) + (3x - 30) + (2x + 10) + 8x = 360
Solve for x
5x + 20 + 3x - 30 + 2x + 10 + 8x = 360
Collect like terms
5x + 3x + 2x + 8x + 20 - 30 + 10 = 360
18x = 360
Divide both sides by 18
x = 360/18
x = 20
<B = 3x - 30
Plug in the value of x
<B = 3(20) - 30 = 60 - 30
<B = 30°
If (x2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?
(x + 2) ´ ______ = x2 – 4
x2 – 4
x – 2
x + 2
x2 – 2
what the answer to this question
Answer:
(x+2)(x-2)=x^2-4
Step-by-step explanation:
(X+2)(x-2)= x^2-2x+2x-4
=x^2-4
30/90 del número de plantas en un cultivo de caña está contaminada. De estas, el 1/2 ha sido tratada. ¿Cual es la fracción del número de plantas del cultivo que no ha sido tratada?
Answer:
1/6
Step-by-step explanation:
De la pregunta, sabemos:
30/90 del número de plantas de un cultivo de caña está contaminado.
30/90, simplificamos aún más
30/90 => 3/9 => 1/3
De estos, la mitad han sido tratados.
La fracción de los cultivos tratados son:
1/2 de 3/9 = 1/2 × 1/3
= 1/6
La fracción del número de plantas del cultivo que no ha sido tratada se calcula como:
1/3 - 1/6
El mínimo común denominador es 6
= (2 × 1) - (1 × 1) / 6
= 2 - 1/6
= 1/6
Usando proporciones, se encuentra que la fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]
Las plantas que no han sido tratadas son:
Las que non estan contamidas(6/9 de el total).1/2 de las contaminadas(1/2 de 3/9).Por eso, la proporción total es dada por:
[tex]\frac{6}{9} + \frac{1}{2}\frac{3}{9} = \frac{6}{9} + \frac{3}{18} = \frac{12}{18} + \frac{3}{18} = \frac{15}{18} = \frac{5}{6}[/tex]
La fracción del número de plantas del cultivo que no ha sido tratada es [tex]\mathbf{\frac{5}{6}}[/tex]
Un problema similar es dado en https://brainly.com/question/25377229
si me dan 200 pesos a la semana y quiero comprar algo de 15000 pesos cuantas semanas tengo que ahorrar
Answer:
75 semanas
Step-by-step explanation:
15,000 = 200s
15,000/200 = s
75 = s
Solve the equation . Show your work
Answer:
x = -1
Step-by-step explanation:
First you multiply by crossover and you get 3(5-x)=18
Then divide the two wings and you'll get 5-x=6
Then you need to separate the x from the numbers
so you move 5 to the right side and you get -x=6-5
Then you calculate it and you get -x=1
and x= -1
hope it helped <3
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
Given the equation
[tex]\frac{5-x}{9}=\frac{2}{3}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}9[/tex]
[tex]\frac{9\left(5-x\right)}{9}=\frac{2\cdot \:9}{3}[/tex]
[tex]5-x=6[/tex]
[tex]\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}[/tex]
[tex]5-x-5=6-5[/tex]
[tex]-x=1[/tex]
[tex]x=-1[/tex]
3 is 10% of what number?
I
Answer:
30
Step-by-step explanation:
3 multiplied by 10 would equal 30. 3 is 10% of 30
i need help with math
Mattie Evan's drove 100 miles in the same amount of time that it took a turbo turbopropeller plane to travel 500 miles. The speed of the plane was 200 mph faster than the speed of the car. Find the speed of the plane.
Answer:250
Step-by-step explanation:Answer:
100/r=500/r+200=50
50+200 =250