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Montano1993 [528]
4 years ago
14

21ST POINTS!!!

Mathematics
1 answer:
dimaraw [331]4 years ago
6 0
L think the answer is 26
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Sue is collecting shells. She started with one shell. Each day after she collected 2 shells. How many would she have after 50 da
Soloha48 [4]

Answer: 99

Step-by-step explanation: 1+(49x2)

4 0
4 years ago
Read 2 more answers
√70 is between which two numbers on the number line?
Leto [7]

Answer:

C) 8 and 9

Step-by-step explanation:

We know that 70 is between two perfect squares.

The square numbers 64 and 81 can help us solve this question.

64<70<81

We take square root to get:

\sqrt{64}  \:  <  \:  \sqrt{70}  <  \sqrt{81}

We simplify this to get:

8 \:  <  \:  \sqrt{70}  \:  <  \: 9

Therefore √70 is between 8 and 9.

The correct option is C.

6 0
4 years ago
Give the expression 4n^2t/2n^t-1, write the expression as a binomial.
lubasha [3.4K]

 <span>binomial </span>is an algebraic expression containing 2 terms. For example, (x + y) is a binomial.

We sometimes need to expand binomials as follows:

(a + b)0 = 1

(a + b)1 = a + b

(a + b)2 = a2 + 2ab + b2

(a + b)3 = a3 + 3a2b + 3ab2 + b3

<span>(a + b)4</span> <span>= a4 + 4a3b</span><span> + 6a2b2 + 4ab3 + b4</span>

<span>(a + b)5</span> <span>= a5 + 5a4b</span> <span>+ 10a3b2</span><span> + 10a2b3 + 5ab4 + b5</span>

Clearly, doing this by direct multiplication gets quite tedious and can be rather difficult for larger powers or more complicated expressions.

Pascal's Triangle

We note that the coefficients (the numbers in front of each term) follow a pattern. [This was noticed long before Pascal, by the Chinese.]

1

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

You can use this pattern to form the coefficients, rather than multiply everything out as we did above.

The Binomial Theorem

We use the binomial theorem to help us expand binomials to any given power without direct multiplication. As we have seen, multiplication can be time-consuming or even not possible in some cases.

<span>Properties of the Binomial Expansion <span>(a + b)n</span></span><span><span>There are <span>\displaystyle{n}+{1}<span>n+1</span></span> terms.</span><span>The first term is <span>an</span> and the final term is <span>bn</span>.</span></span><span>Progressing from the first term to the last, the exponent of a decreases by <span>\displaystyle{1}1</span> from term to term while the exponent of b increases by <span>\displaystyle{1}1</span>. In addition, the sum of the exponents of a and b in each term is n.</span><span>If the coefficient of each term is multiplied by the exponent of a in that term, and the product is divided by the number of that term, we obtain the coefficient of the next term.</span>
7 0
3 years ago
What is the value of the expression
Y_Kistochka [10]

Answer:

0.8

Step-by-step explanation:

We begin with the expression: 0.5+(-\frac{3}{4} )+0.25-(-\frac{4}{5} )

First, we need to convert the fractions into decimals to make this easier.

-\frac{3}{4}=-0.75 and -\frac{4}{5} =-0.8

Once we have this, we can simplify it

0.5-0.75+0.25-(-0.8)\\\\0.5-0.75+0.25+0.8\\\\0.75-0.75+0.8\\\\0.8

4 0
4 years ago
What is the sum of the first eight terms of the geometric series 2 + 6 + 18 + 54 + … ?
UkoKoshka [18]
2+6+18+54+162+486+1458+4375=6561

you multiply the previous number by three to find the next value
7 0
3 years ago
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