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irakobra [83]
3 years ago
7

. If BC = 6.5, CD = 7.8, and AD = 12.2, find AB to the nearest tenth.

Mathematics
2 answers:
siniylev [52]3 years ago
7 0
AB= 5.7 that is th le correct answer
Harman [31]3 years ago
5 0
12.2 - 6.5 = 5.7

AB = 5.7
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Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa
Nataly_w [17]

Answer:

The first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

coefficient of x^{2} in the expansion of (2+x - x^{2})^{6} = (240 - 192) = 48

Step-by-step explanation:

(2+x)^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})

= 6_{C_{0}} \times x^{0} \times 2^{6}  + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4} + terms involving higher powers of x

= 64 + 192 \times x^{1} + 240 \times x^{2} + terms involving higher powers of x

so, the first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

Again,

(2+x - x^{2})^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})

Now, by inspection,

the term x^{2} comes from k =5 and k = 6

for k = 5, the coefficient of  x^{2}  is , (-32) \times 6 = -192

for k = 6 , the coefficient of x^{2} is, 6_{C_{2}} \times 2^{4} = 240

so,   coefficient of x^{2} in the final expression = (240 - 192) = 48

3 0
2 years ago
A multivitamin tablet contains 10.5 mg of calcium. How much calcium does a bottle of 50 tablets contain? Write your answer in gr
andrew11 [14]
Just do 10.5 × 50 and whatever answer you get label as grams
4 0
3 years ago
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aliina [53]
The answer is 1 because 7*9 is 63
7*10=70 70-7=63
5 0
3 years ago
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What is the answer to 7(1 + 4k)
Sophie [7]
How to solve it:
•1. multiply 7 x 1= 7
•2. multiply 7 x 4k= 28k

so the answer is: 7+28k

i hope i have been helpful :)
8 0
3 years ago
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How do you do this? I can't remember
Hitman42 [59]
14.75 depending on if the model is 8 & the actual is 1 in the 1:8 scale factor because you would just multiply the actual by 8 because it is the scale factor. the answer could also be .23 is the model is 1 & the actual is 8 because you would divide the actual by 8! hope this helps!!
3 0
3 years ago
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