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Nitella [24]
3 years ago
9

What is the bionominal expansion of (x+2y)^7

Mathematics
1 answer:
tatiyna3 years ago
8 0

Answer:

Choose the 8th row of Pascal's triangle to get the sequence:

1

,

7

,

21

,

35

,

35

,

21

,

7

,

1

Write the powers of

2

in ascending order up to

2

7

as a sequence:

1

,

2

,

4

,

8

,

16

,

32

,

64

,

128

Multiply the two sequences together to get:

1

,

14

,

84

,

280

,

560

,

672

,

448

,

128

Then:

(

x

+

2

y

)

7

=

x

7

+

14

x

6

y

+

84

x

5

y

2

+

280

x

4

y

3

+

560

x

3

y

4

+

672

x

2

y

5

+

448

x

y

6

+

128

y

7

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A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
Alenkasestr [34]

Answer:

B) 5 hours

Step-by-step explanation:

First, find the amount of mph between 60 and 80:

80 - 60

= 20 mph

Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:

20/4

= 5

So, the correct answer is B, 5 hours

6 0
2 years ago
He mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle. Analysis of 20 bottles indicates a sa
mezya [45]

Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg

Step-by-step explanation:

Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.

Let \mu be the population mean .

We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.

i.e. Null hypothesis :H_0:\mu=140

Alternative hypothesis for two tail hypothesis has sign (≠).

i.e. Alternative hypothesis : H_1 : \mu\neq140

∴ The hypotheses for a two-tailed test of the claimed potassium content:

H0: μ = 140 mg vs. H1: μ ≠ 140 mg

3 0
3 years ago
Whatt is the justification of the 2 step of the proof?
Lera25 [3.4K]

Answer:

B

Step-by-step explanation:

5 0
2 years ago
All of the following are types of triangles except
prisoha [69]
C. reflex, because all of the others are triangles
6 0
3 years ago
Evaluate 3x+5(y+3) when x is 2 less than the quotient of y and 3, and y=12
myrzilka [38]

Answer:

81

Step-by-step explanation:

12/3 = 4

4 - 2 = 2

x = 2

using the order of operations, you would first have to do y + 3

y = 12

12 + 3 = 15

the equation simplified is 3 x 2 + 5 x 15

3 x 2 = 6

5 x 15 = 75

75 + 6 = 81

8 0
3 years ago
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