1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alborosie
2 years ago
9

ula1" title="\huge\boxed{\bold{\underline{\underline{Question:}}}}" alt="\huge\boxed{\bold{\underline{\underline{Question:}}}}" align="absmiddle" class="latex-formula">
Hi! Can anyone please help me with my homework? I would be grateful. No spam.

Thanks in advance.

\bold{(4t-3)^{5}}
Mathematics
1 answer:
Ronch [10]2 years ago
6 0

Answer:

<h2> </h2><h2>{1024t}^{5}  - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2}   + 1620t-  243</h2>

Step-by-step explanation:

<h3><em><u>Question</u></em><em><u>:</u></em><em><u>-</u></em></h3>
  • To find the Binomial theorem form of \bold{(4t-3)^{5}}
<h3><em><u>As</u></em><em><u> </u></em><em><u>we</u></em><em><u> </u></em><em><u>know</u></em><em><u>:</u></em><em><u>-</u></em></h3>

<em>As</em><em> </em><em>in</em><em> </em><em>Bin</em><em>omial</em><em> </em><em>theorem</em><em> </em><em>:</em><em>-</em>

  • {(x - y)}^{5}  =  {x}^{5}  - 5 {x}^{4} y + 10 {x}^{3}  {y}^{2}  - 10 {x}^{2}  {y}^{3}  + 5x {y}^{4}  -  {y}^{5}
<h3><em><u>Solution</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em></h3>

= {(4t - 3)}^{5}

  • <em>Hence</em><em>,</em><em> </em><em>on</em><em> </em><em>using</em><em> </em><em>the</em><em> </em><em>Binomial</em><em> </em><em>theorem</em><em>,</em><em> </em>

=  {(4t)}^{5}  - 5 {(4t)}^{4} (3)+ 10 {(4t)}^{3}  {(3)}^{2}  - 10 {(4t)}^{2}  {(3)}^{3}  + 5(4t) {(3)}^{4}  -  {(3)}^{5}

  • <em>On</em><em> </em><em>formatting</em><em> </em>

=  {1024t}^{5}  - 5 ({256t}^{4} )(3)+ 10 ({64t}^{3} ) (9 ) - 10 ({16t}^{2}  )(27)  + 5(4t) (81) -  243

  • <em>On</em><em> </em><em>further</em><em> </em><em>formatting</em><em>.</em><em> </em>

=  {1024t}^{5}  - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2}   + 1620t-  243

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>:</u></em><em><u>-</u></em>

{1024t}^{5}  - 3840{t}^{4} + 5760{t}^{3} - 4320{t}^{2}   + 1620t-  243

You might be interested in
ASAPpppppppppppppppppppppp
Bogdan [553]

Answer:

-4/5

Step-by-step explanation:

2/5 ÷ -1/2

Copy dot flip

2/5 * -2/1

-4/5

8 0
3 years ago
The side of rhombus is 14 in. The obtuse angle is 160º. Find the longer diagonal of the rhombus.
Mandarinka [93]

Answer:

x = 27.57 in to the nearest hundredth.

Step-by-step explanation:

The longer diagonal  is opposite the obtuse angle.

Also as it is a rhombus all sides = 14 in.

Use the Cosine Rule:

x^2 = 14^2 + 14^2 - 2*14^2 cos 160

x^2 =  760.36

x = sqrt 760.36

x = 27.57 in.

3 0
3 years ago
Explain how you would graph the line y = 2/3x + 3 using its slope and y-intercept.​
Ivahew [28]

Answer:

Slope = 2/3 Y intercept +3

Step-by-step explanation:

Plot the y-intercept (0,+3) in the xy axis. Remember, this point always lies on the vertical axis y.

Starting from the y-intercept, find another point using the slope. Slope contains the direction how you go from one point to another.

The numerator tells you how much steps to go up or down (rise) while the denominator tells you how many units to move left or right (run).

Connect the two points generated by the y-intercept and the slope using a straight edge (ruler) to reveal the graph of the line.

5 0
3 years ago
Read 2 more answers
Can someone please give me the (Answers) to this? ... please ...
Lady bird [3.3K]

Answer:

1a) Obtuse

1b) Alternate inner angles

1c) x = 101 degrees

2a) Obtuse

2b) Alternate outer angles

2c) x = 147 degrees

Step-by-step explanation:

I hoped these helped. If possible, may I have brainliest :)

4 0
3 years ago
Question: A canary's beak is, at most, 20mm long. Which algebraic inequality represents this situation?
Paul [167]

Answer:

Option (1).

Step-by-step explanation:

Statement given states that "A canary's beak is, at most 20 mm long."

Word "at most" means "the maximum".

So at most length of the beak means "length of the beak is less than equal to 20 mm".

And the expression representing this statement algebraically will be,

x ≤ 20

Therefore, option (1) will be the correct option.

8 0
2 years ago
Other questions:
  • (5,-4)<br> 4<br> Position Pairs of Rational Numbers on the Coordinate Plane
    13·1 answer
  • How would you write 0.00000.79512 in scientific notation
    6·1 answer
  • Least common multiple of two numbers one of the numbers is seven less than the other number what are the numbers? Justify your a
    14·1 answer
  • What is the x intercept of 3x+2y=15
    5·2 answers
  • Jeremy can stand on one leg for 3.8 minutes. Express that time in seconds.
    13·2 answers
  • Explain why 51 is not a prime number​
    9·2 answers
  • Giving brainlist to whoever answers
    7·2 answers
  • Help! I’ll give brainliest if I can!
    12·1 answer
  • Choose correct way to write 7 cents using the dollar symbol.
    5·2 answers
  • Mrs. Wood is a librarian at Westside Library. In examining a random sample of the library's book collection, she found the follo
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!