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2 years ago

Two rational numbers between 2/3 and 5/3

Mathematics

1 answer:

Ede4ka [16]2 years ago

5 0

Answer:

1.333333333333 or 4/3

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Lily's car used 6 gallons of gas to drive 237 miles. At what rate does her car use gas in miles per gallon? Express your answer

iogann1982 [59]

Answer:

<u>39.5 miles/gallon.</u>

Step-by-step explanation:

6 gallons of gas used to drive 237 miles

The rate of her car uses gas in miles per gallon =

$\frac{237 miles}{6 gallons} = \frac{237}{6} = 39.5 \ miles/gallons$

Which mean the car will consume 1 gallon for each 39.5 miles.

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3 years ago

Write 1/3 as a power with an integer base

Viefleur [7K]

Answer:

$3^{-1}$

Step-by-step explanation:

Using the rule of exponents

$\frac{1}{a^{n} }$ ⇔ $a^{-n}$

Given

$\frac{1}{3}$ = $\frac{1}{3^{1} }$ = $3^{-1}$

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2 years ago

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Which Equation best represents the line graphed above?<br> Y=-3x-1 Y=-3x+1 Y=3x+1 Y=3x-1

Ipatiy [6.2K]

C. y=3x+1 is the answer.

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3 years ago

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Apply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn +

ss7ja [257]

Solution :

Given

$f(x)=x^3-x-1, x_1=1$

$f'(x)=3x^2-1$

Let the initial approximation is $x_1 =1$

So by Newton's method, we get

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)},n=1,2,...$

$x_2=x_1-\frac{f(x_1)}{f'(x_1)}=1-\frac{1^3-1-1}{3(1)^2-1}=1.5$

$x_3=1.5-\frac{(1.5)^3-1.5-1}{3(1.5)^2-1}=1.34782608$

$x_4=1.34782608-\frac{(1.34782608)^3-1.34782608-1}{3(1.34782608)^2-1}=1.32520039$

$x_5=1.32520039-\frac{(1.32520039)^3-1.32520039-1}{3(1.32520039)^2-1}=1.32471817$

$x_6=1.32471817-\frac{(1.32471817)^3-1.32471817-1}{3(1.32471817)^2-1}=1.32471795$

$x_5 \approx x_6$ are identical up to eight decimal places.

The approximate real root is x ≈ 1.32471795

∴ x = 1.32471795

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3 years ago

What is the least common multiple of 8 and 6?

Degger [83]

Answer:

Step-by-step explanation:

8 16 24 32 40...

6 12 18 24 30 36....

24 and 24.

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3 years ago

Two rational numbers between 2/3 and 5/3​

Two rational numbers between 2/3 and 5/3