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1 year ago

The expression below is a sum of cubes. 125x^3 + 144 A. True B. False

Mathematics

2 answers:

pishuonlain [190]1 year ago

8 0

It would be false bc i just took it and it was right

lubasha [3.4K]1 year ago

3 0

Answer:

False

Step-by-step explanation:

Hey there!

If this is a sum of cubes, this means that both numbers have whole numbers as the cube root of that number

The cube root of 125 is 5

But the cube root for 144 is a decimal meaning this is not a sum of cubes

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HELP ASAP PLEASE & SHOW UR WORK!! THANK YOU <333

alekssr [168]

Answer:

$\bold{x_1=-\dfrac{3+\sqrt{41}}{2}\approx-4.7\ ,\quad x_2=-\dfrac{3-\sqrt{41}}{2}\approx1.7}$

Step-by-step explanation:

$-2x^2-3x+4=0\\\\a=-2\,,\ b=-3\,,\ c=4\\\\\\x=\dfrac{-b-\sqrt{b^2\pm4ac}}{2a}=\dfrac{-(-3)\pm\sqrt{(-3)^2-4(-2)(4)}}{2(-1)}=\dfrac{3\pm\sqrt{9+32}}{-2}\\\\\\x_1=-\dfrac{3+\sqrt{41}}{2}\approx-4.7\ ,\qquad x_2=-\dfrac{3-\sqrt{41}}{2}\approx1.7$

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2 years ago

A sample of tritium-3 decayed to 94.5% of its original amount after a year.

Zolol [24]

(a) If $y(t)$ is the mass after $t$ days and $y(0) = A$ then $y(t) = Ae^{kt}.$

$y(1) = Ae^k = 0.945A \implies e^k = 0.945 \implies k = \ln 0.945$

$\text{Then } Ae^{(\ln 0.945)t} = \frac{1}{2}A\ \Leftrightarrow\ \ln e^{(\ln 0.945)t} = \ln \frac{1}{2}\ \Leftrightarrow\ ( \ln 0.945) t = \ln \frac{1}{2} \Leftrightarrow \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 12.25 \text{ years}$

(b)
$Ae^{(\ln 0.945) t} = 0.20 A \ \Leftrightarrow\ (\ln 0.945) t \ln \frac{1}{5}\ \implies \\ \\
t = - \frac{\ln 5}{\ln 0.945} \approx 28.45\text{ years}$

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2 years ago

If you do these 2 problems you get 100 points

frosja888 [35]

Answer:

BELOW

Step-by-step explanation:

DO I HEAR 100 POINTS? Yes.

For the first image, that answer is A.

For the second image, I'm a bit confused on which problems you want me to do, so I'll do number 10, 11, and 14.

10) Yeah, you're correct, it is J.

11) (1,-6), (-2,-5), (8,2) (4,0) and I can't see the last point so..

14) Can't see the question :(

4 0

1 year ago

Read 2 more answers

What is the diameter if the radius is 6ft.?

Eddi Din [679]

Answer:

Diameter = 12 ft.

Step-by-step explanation:

$d = 2r; r = \frac{1}{2}d.$

Hope this helps!

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brainliest?

5 0

1 year ago

For which interval is the function constant?

andreev551 [17]

Answer:

Option D (2, 6)

Step-by-step explanation:

As shown in the graph function has four intervals on which graph is plotted.

1). From the graph we can see in the interval -10 ≤ x ≤ 0 graph is increasing.

2). From 0 ≤ x ≤ 2 function is decreasing.

3). Between 2 ≤ x ≤ 6 function is constant.

4). And for x ≥ 6 function is increasing.

Therefore interval in which the function is constant is (2, 6).

4 0

2 years ago