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3 years ago

Is square root of 2 a natural, whole,integer, Rational, or irrational.

Mathematics

1 answer:

34kurt3 years ago

4 0

The answer is irrational

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The fourth term of an arithmetic

yulyashka [42]

Answer:

Step-by-step explanation:

Given AP where:

a₄ = 2a₂ - 1
a₆ = 7

To find

a₁ = ?

Since

a₄ = a₁ + 3d
a₂ = a₁ + d
a₆ = a₁ + 5d

Initial equations will change as:

a₁ + 3d = 2(a₁ + d) - 1 ⇒ a₁ + 3d = 2a₁ + 2d - 1 ⇒ a₁ = d + 1
a₁ + 5d = 7 ⇒ a₁ = 7 - 5d

Comparing the above:

d + 1 = 7 - 5d
6d = 6
d = 1

Then:

a₁ = d + 1 = 1 + 1 = 2
a₁ = 2

The first term is 2

5 0

3 years ago

Subsubstitution solving for x

yuradex [85]

y = 8x - 18

2x - 8(8x - 18) = 20

2x + -64x + 144 = 20

-62x + 144 = 20

-62x = -124

x = 2

6 0

3 years ago

$1,200, 3.9, 8 months

Kryger [21]

Are you working with simple interest?

3 0

3 years ago

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 43 ft/s. Its height

Lina20 [59]

Answer:

Instantaneous Velocity at t = 1 is 20 feet per second

Step-by-step explanation:

We are given he following information in the question:

$y(t)=43t-23t^{2}$

B) Instantaneous Velocity at t = 1

$y(1) = 43(1)-23(1)^2 = 20$

A) Formula:

Average velocity =

$\displaystyle\frac{\text{Displacement}}{\text{Time}}$

1) 0.01

$y(1 + 0.01)=y(1.01) = 43(1.01)-23(1.01)^{2} = 19.9677\\\\\text{Average Velocity} = \dfrac{y(1.01)-y(1)}{1.01-1} =\dfrac{19.9677-20}{1.01-1}= \dfrac{-0.0323}{0.01} = -3.230000 \text{feet per second}$

2) 0.005 s

$y(1 + 0.005)=y(1.005) = 43(1.005)-23(1.005)^{2} = 19.984425\\\\\text{Average Velocity} = \dfrac{y(1.005)-y(1)}{1.005-1} =\dfrac{19.984425-20}{1.005-1} = -3.1150000 \text{feet per second}$

3) 0.002 s

$y(1 + 0.002)=y(1.002) = 43(1.002)-23(1.002)^{2} = 19.993908\\\\\text{Average Velocity} = \dfrac{y(1.002)-y(1)}{1.002-1} =\dfrac{19.993908-20}{1.002-1} = -3.0460000 \text{feet per second}$

4) 0.001 s

$y(1 + 0.001)=y(1.001) = 43(1.001)-23(1.001)^{2} = 19.996977\\\\\text{Average Velocity} = \dfrac{y(1.001)-y(1)}{1.001-1} =\frac{19.996977-20}{1.001-1} = -3.0230000 \text{feet per second}$

3 0

3 years ago

jewelry is commonly weighted in carats. five carats are equivalent to one gram.how many grams are in 24-carat gold chain

Olin [163]

Hi There!

Conversion: 5 carats = 1 gram

Find: How many grams are in 24 carats.

Solution: 24 / 5 = 4.8

Answer: 4.8 carats

Hope This Helps :)

6 0

3 years ago