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myrzilka [38]
3 years ago
7

Expand (a+b)^7 using pascal triangle

Mathematics
1 answer:
Inga [223]3 years ago
8 0

(a+b)^7= a^7+ 7a^7b+ 21 a^6b²+ 35a^5b³+ 35 a⁴b⁴+ 21 a³b^5 + 7a²b^6 + b^7

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Given a minimum usual value of 135.8 and a maximum usual value of 155.9, determine which (1 point) of the following values would
maxonik [38]

Answer:  b. 134

Step-by-step explanation:

Given : A minimum usual value of 135.8 and a maximum usual value of 155.9.

Let x denotes a usual value.

i.e.  135.8< x < 155.9

Therefore , the interval for the usual values is [135.8, 155.9] .

If interval for any usual value is [135.8, 155.9] , then any value should lie in this otherwise we call it unusual.

Let's check all options

a. 137  ,

since  135.8< 137 < 155.9

So , it is usual.

b. 134

since 134<135.8 (Minimum value)

So , it is unusual.

c. 146  

since  135.8< 146 < 155.9

So , it is usual.

d. 155  

since 135.8< 1155 < 155.9

So , it is usual.

Hence, the correct answer is b. 134 .

4 0
3 years ago
What is the future value for a savings account that had $825 deposited in it for 10 years. The
Goshia [24]

Answer:

The answer is 2145$

Step-by-step explanation:

825×0.04=33

Once every quarter of a year means the number of years × 4 = 10×4=40

So

33×40 =1320$

1320+825=2145$

7 0
2 years ago
Simplify the expression. (3x/y)^-3
AysviL [449]

Answer:

y^3/(27 x^3)

Step-by-step explanation:

Simplify the following:

((3 x)/y)^(-3)

((3 x)/y)^(-3) = (y/(3 x))^3:

(y/(3 x))^3

Multiply each exponent in y/(3 x) by 3:

(y^3)/((3 x)^3)

Multiply each exponent in 3 x by 3:

y^3/(3^3 x^3)

3^3 = 3×3^2:

y^3/(3×3^2 x^3)

3^2 = 9:

y^3/(3×9 x^3)

3×9 = 27:

Answer:  y^3/(27 x^3)

6 0
3 years ago
Is 10/18 and 45/18 proportional
ValentinkaMS [17]

Answer:

No

Step-by-step explanation:

10/18 does not equal 45/18

An example of a proportional number is:

4/5 and 8/10

Both numbers are multiplied by 2 making them proportional

10/18 and 45/18 are not proportional

Hope this helped :)

6 0
3 years ago
Write the equation in standard form for the hyperbola with vertices (-8,0) and (8,0), and foci (-10,0) and (10,0).
Sloan [31]

Answer:x56-8

Step-by-step explanation:

4 0
3 years ago
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