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2 years ago

100 POINTS AND MARKED AS BRAINLIEST IF YOU ANSWER THIS AND SHOW YOUR WORK

Mathematics

2 answers:

Alexandra [31]2 years ago

5 0

Answer:

122.88

Step-by-step explanation:

3072 devided by 25 gets you 122.88

Mrac [35]2 years ago

4 0

Answer:

The answer is 122.88

Step-by-step explanation: SMARTNESS ASK ME OR FRIEND ME I WILL HELP YOU WITH ALL.

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What is the square root of -15

motikmotik

The square root of -15 is 3.87298335

7 0

2 years ago

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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

At most, how many one sixth 1 6-inch-long pieces of string can you cut from a two thirds 2 3-inch-long piece of string?

bija089 [108]

2\3 23-1\6 16
2\3-1\6=5\6
23-16=7
7 5\6

4 0

3 years ago

If the ratio of purple marbles to orange marbles is 3 to 8, how many orange marbles will I have if I have 48 purple marbles?

sveticcg [70]

Answer:

You will have 128 orange marbles

Step-by-step explanation:

Set this up as an equation

Variable x = number of orange marbles

3/8 = 48/x

Cross multiply

3 × x = 8 × 48

3x = 384

Divide both sides by 3 to isolate the variable

3x ÷ 3 = 384 ÷ 3

1x = 128

x = 128

128 orange marbles

Check work:

Substitute the variable x for the answer

3/8 = 48/128

Cross multiply

3 × 128 = 8 × 48

384 = 384

If the numbers equal, the answer is correct

6 0

3 years ago

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Please answer this question now in two minutes

S_A_V [24]

Answer:

IJK and KJM

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross

they are always equal in measure and share a point (in this case J)

hope this helps

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3 years ago