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algol [13]
4 years ago
8

Which number produced an irrational number by 1/4

Mathematics
1 answer:
Dmitriy789 [7]4 years ago
3 0
Your answer would be option D, as irrational numbers cannot be expressed as simple fractions and cannot include repeated numbers like option A, so option D is the only number that is irrational and can be added to 1/4 to remain irrational.
I hope this helps!
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Expand (2x + 3)^5 using the Binomial Theorem and Pascal’s triangle. Show all steps.
kari74 [83]

Answer:

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

Step-by-step explanation:

(2x + 3)⁵

₅C₀ (2x)⁵ (3)⁰ + ₅C₁ (2x)⁴ (3)¹ + ₅C₂ (2x)³ (3)² + ₅C₃ (2x)² (3)³ + ₅C₄ (2x)¹ (3)⁴ + ₅C₅ (2x)⁰ (3)⁵

Use Pascal's triangle to find nCr.

\left\begin{array}{c}1\\1\ 1\\1\ 2\ 1\\1\ 3\ 3\ 1\\1\ 4\ 6\ 4\ 1\\1\ 5\ 10\ 10\ 5\ 1\end{array}\right

1 (2x)⁵ (3)⁰ + 5 (2x)⁴ (3)¹ + 10 (2x)³ (3)² + 10 (2x)² (3)³ + 5 (2x)¹ (3)⁴ + 1 (2x)⁰ (3)⁵

(2x)⁵ + 15 (2x)⁴ + 90 (2x)³ + 270 (2x)² + 405 (2x)¹ + 243

32x⁵ + 240x⁴ + 720x³ + 1080x² + 810x + 243

7 0
3 years ago
HELP ALGEBRA IS KILLING ME IMAGE IS BELOW
djyliett [7]

Answer:

58240

Step-by-step explanation:

1425 ------ 45600

1820 ------   x

1425*x = 1425x

45600*1820 = 82992000

1425x = 82992000

82992000/1425 = x

58240 = x

6 0
3 years ago
Which equation represents a line that passes through (2,-1/2<br>and has a slope of 3?​
erma4kov [3.2K]

Answer:

y + 0.5 = 3(x - 2)

y + 0.5 = 3x - 6

y = 3x - 6.5

Step-by-step explanation:

8 0
3 years ago
The function y = 3.75 + 1.5 (x - 1) can be used to determine the cost in dollars for a taxi ride of x miles. Give the number whi
Degger [83]

Answer:

rate of change = 1.5 dollars per mile

Step-by-step explanation:

cost for travelling 1 mile = 3.75

cost 2 miles  = 5.25

cost 3 miles = 6.75

cost 4 miles = 8.25

8 0
3 years ago
Read 2 more answers
A cylindrical grain bin has a radius of 7 feet and a height of 25 feet. How many cubic feet of grain can the bin hold
dimaraw [331]

Answer:

1225π

Step-by-step explanation:

The question concerns the volume of the cylinder.

The formula of the volume is:

V=\pi r^{2} h, where r is the radius and h is the height.

Plugging the given numbers into the formula, we find that:

V=\pi * 49 * 25=1225\pi

The result - 1225π shows that the cylinder can be filled fully with that given amount.  

5 0
4 years ago
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