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
Alika [10]
4 years ago
5

Use Pascal’s Triangle to determine the second term of the expansion of (x + 2)^4.

Mathematics
1 answer:
denis23 [38]4 years ago
5 0

Answer: 10x³

<u>Step-by-step explanation:</u>

n=0                                  1

n=1                                1  2 1

n=2                             1  3  3  1

n=3                           1  4  6  4  1

n=4                         1  5 10 10 5  1

The second term of the expansion is: 5(a)³(b)

= 5(x)³(2)

= 10x³

You might be interested in
Estimate the answer for 753 - 289
denis23 [38]

Answer:

464 or 460

Step-by-step explanation:

464 is the actual answer but if you were to estimate I would go with 460

8 0
3 years ago
In Europe, 53% of the flowers of the Rewardless Orchid, Dactylorhiza sambucina, are yellow, whereas the remaining flowers are pu
stich3 [128]

Answer:

a. The probability of taking out a purple flower is 0.47.

b. The probability that out of a sample of 5 flowers at least 3 flowers are yellow 0.56.

c. The standard deviation of the distribution for proportion of yellow flowers is 0.22.

d. The probability that out of the 263 samples, at most 150 of them are yellow is 0.90.

Step-by-step explanation:

7 0
3 years ago
What is the completely factored form of d4-8d2+16
Cloud [144]
Solution:

1) Rewrite it in the form {a}^{2}-2ab+{b}^{2}, where a={d}^{2} and b=4
{({d}^{2})}^{2}-2({d}^{2})(4)+{4}^{2}

2) Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}
{({d}^{2}-4)}^{2}

3) Rewrite {d}^{2}-4​ in the form {a}^{2}-{b}^{2}​​ , where a=d and b=2
{({d}^{2}-{2}^{2})}^{2}
​​
4) Use Difference of Squares: {a}^{2}-{b}^{2}=(a+b)(a-b)
​{((d+2)(d-2))}^{2}

5) Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}
{(d+2)}^{2}{(d-2)}^{2}

Done!
8 0
3 years ago
Read 2 more answers
Which angle is congruent to
kondor19780726 [428]

The angle congruent to ∠CGD is the angle ∠AGF as they are vertical angles.

5 0
1 year ago
Suppose g (x) is increasing and concave up everywhere and g(A)=7, gprime(A)=13, h=.01
rewona [7]
First we need a point (x,y) : (A, 7) 
<span>Now slope (from f'(A)) = 15 </span>
<span>Next, the equation (using point slope formula) </span>

<span>y - 7 = 15 (x -A) </span>
<span>y = 15 (x - A) + 7 </span>

<span>Now in the x spot we put 'A-.01' </span>
<span>y = 15 ( A - .01 - A) +7= 15(-.01) +7 = -.15+ 7 = 6.85 
hope this helps</span>
8 0
3 years ago
Other questions:
  • The area of a rectangle is 14 m2 , and the length of the rectangle is 3 m less than double the width. find the dimensions of the
    11·1 answer
  • Paco has a traditional health insurance plan. His deductible is $750. The level of co-insurance for his plan is 70/30 where 30 r
    5·2 answers
  • A bag contains 6 red marbles, 3 blue marbles and 2 green marbles. if two marbles are drawn out of the bag, what is the exact pro
    7·1 answer
  • How is the graph of y=log(x) transformed to produce the graph of y=log(2x)+3
    6·1 answer
  • How to justify each step in the solution of 5x+15=0
    11·1 answer
  • A right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. The dimensions of the prism are halved.
    12·1 answer
  • How many different three-person relay teams can be chosen from six students?
    12·1 answer
  • Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. C. What is the length of bottom sid
    7·1 answer
  • Solve the inequality, <br> x + 6.56 &gt; 25.2
    6·1 answer
  • a shopkeeper mixed 15.25 kg of hazelnuts with 4.75 kg of raisins. He packed the mixture equally into 5 boxes. What is the weight
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!