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3 years ago

Produce your answer Frombase four to base 10

Mathematics

1 answer:

mixer [17]3 years ago

5 0

Answer:

A. 54₁₀

B. 81₁₀

Step-by-step explanation:

To convert from base 4 to base 10, we simply do the following:

A. 312₄ to base 10

312₄ = (3×4²) + (1×4¹) + (2×4⁰)

312₄ = (3×16) + (1×4) + (2×1)

312₄ = 48 + 4 + 2

312₄ = 54₁₀

Therefore, 312₄ is equivalent to 54₁₀.

B. 1101₄ to base 10

1101₄ = (1×4³) + (1×4²) + (0×4¹) + (1×4⁰)

1101₄ = (1×64) + (1×16) + (0×4) + (1×1)

1101₄ = 64 + 16 + 0 + 1

1101₄ = 81₁₀

Therefore, 1101₄ is equivalent to 81₁₀.

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During a two-hour period, the temperature in a city dropped from a high of 51°F to a low of −11°F. What was the range of the tem

Likurg_2 [28]

you have to take 51 plus 11 and add it up. then your answer should be 62 degrees different.

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3 years ago

You take out a student loan for $80,000 with 2.75% annual interest to pay for your first year of college. This loan will cover a

yKpoI14uk [10]

Exponential growth equation would be

Amount= 80,000 (1+2.75/100) ⁴

At the end of 4 years I would have to repay an amount of $ 89,169.70

Step-by-step explanation:

Since, the amount is loaned it would vary exponentially i.e. in a compounding manner.

We know that for compound interest, the equation is written as-

Amount= principal(1+r/100) ˣ

Where r- rate of interest which is 2.75% annually

And x= time period= 4 years as in the question

Principal= $ 80,000

Therefore, Equation becomes-

Amount= 80,000(1+2.75/100) ⁴

On solving this Amount would equal $ 89,169.70

Hence, at the end of 4 years I would have to repay an amount of $ 89,169.70.

6 0

3 years ago

Which doesn’t belong? PLEASE HELP! I will give a thanks! helpppppp

Basile [38]

Answer:

The blu

Step-by-step explanation:

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4 years ago

Read 2 more answers

Dominic's water jug holds 1.25 quarts. Terrell says he can find the capacity of the jug in fluid ounces by dividing 1.25 by 32.

IceJOKER [234]

No. Terrell is not correct. Terrell is incorrect. The method he offers is
inappropriate, inapplicable, and lacks veracity, and as a mathematician,
Terrell himself is devoid of integrity. If his method is implemented, it
cannot accurately compute the capacity of Dominic's water jug in fluid
ounces. It will produce a number that is inaccurate, fallacious, mistaken,
erroneous, and incorrect. Moreover, the solution will be wrong.

If the units are carried through with the calculation ... as always they must ...
then it will immediately become clear that Terrell's method has produced a
solution with units of "square quarts per ounce", whereupon any witnesses
should justifiably become nauseous. Terrell's method should be disdained,
rejected, discarded and ignored.

==> 1.25 should not be "divided" by 32.

==> Instead, 1.25 should be multiplied by 32.

The modified method will produce a result with units of "fluid ounces" ...
the first indication to the assembled multitude that whatever the number
is, there is a reasonable chance that it could be a correct one.

3 0

3 years ago

The region under the curve with equation y = 1/(2x-1) is rotated through four right angles about the x-axis to form a solid. Fin

Vaselesa [24]

Using the disk method, the volume of the solid is

$\displaystyle \pi \int_3^8 \left(\dfrac1{2x-1}\right)^2 \, dx = \pi \int_3^8 \frac{dx}{(2x-1)^2}$

Substitute $u = 2x-1$ and $du=2\,dx$ .

$\displaystyle \pi \int_3^8 \frac{dx}{(2x-1)^2} = \frac\pi2 \int_5^{15} \frac{du}{u^2} \\\\ ~~~~~~~~ = -\frac\pi2 \frac1u \bigg|_5^{15} \\\\ ~~~~~~~~ = -\frac\pi2 \left(\frac1{15} - \frac15\right) = \boxed{\frac\pi{15}}$

8 0

2 years ago

Produce your answer Frombase four to base 10​

Produce your answer Frombase four to base 10